Question 17: B. A’ (1,2), B’ (3,2), C’ (3,5)
Translating 4 to the right means that you should add 4 to the x value of your coordinate point.
Question 18: C. (3,-5)
This is because reflecting over the x-axis would mean to move down the same amount of units above the x-axis the original point is (the original point is five units above the x-axis so you just move down five units). Look at the attached picture for more help.
Question 19: A. C’ (0,-2)
We can see that the triangle has been translated 1 unit to the right and 2 units up. This would mean you add 1 to the x-value of the coordinate and add 2 to the y-value of the coordinate. I can’t see point C clearly, but I’m guessing that it’s at (-1,-4). This would give point C’ as (0,-2)
Hope this helps! Let me know if you need more help! Have a fantastic day!
Beth will you help Andy with his algebra?
which punctuation mark is missing in the sentence?
A),
B)!
C)´
D)-
Answer:
A)
Step-by-step explanation:
mark me brainliest plzzzzzzz
In Bayes Theorem, | stands for _______.
In bar chart tend to summarize _________ type data.
In Bayes Theorem, you have some starting information, then you collect some new information so that you can _______ the original probabilities so you now have better information.
In Bayes Theorem, | stands for 'given' or 'conditional on'. In bar charts, tend to summarize categorical type data. In Bayes Theorem, you have some starting information, then you collect some new information so that you can update the original probabilities so you now have better information.
In Bayes Theorem, the symbol | stands for 'given' or 'conditional on'. It is used to indicate that the probability is calculated under the condition that a certain event has occurred. For example, P(A|B) represents the probability of event A given that event B has occurred.
In bar charts, tend to summarize categorical type data. A bar chart is a type of graph that uses rectangular bars to represent data. Each bar in the chart represents a category, and the height of the bar represents the frequency or count of that category. Bar charts are useful for comparing the frequencies of different categories or showing the distribution of a single categorical variable.
In Bayes Theorem, you have some starting information, then you collect some new information so that you can update the original probabilities. This allows you to have better information and make more accurate predictions or decisions based on the new evidence.
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In Bayes Theorem, the vertical bar "|" represents "given" or "conditional on". Bar charts tend to summarize categorical or discrete type data. Bayes Theorem allows for updating the original probabilities based on new information, resulting in improved and more accurate estimates.
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the greek army contained two types of soldiers: the upper class and the lower class soldiers. if there were a total of 5 upper class soldiers, and 10 lower class soldiers in a certain part of athens, and the battle of thermopylae demands a force of 4 upper class soldiers and 8 lower class soldiers, how many different battalions can be sent?
50 different greek armies, the upper class and the lower class soldiers battalions can be sent.
The Greek army can form different battalions by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. This problem can be solved using a combination formula known as a binomial coefficient.
The number of different battalions that can be sent is:
(5 choose 4) * (10 choose 8) = 5*10 = 50
Different battalions can be formed by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. Therefore, 50 different battalions can be sent.
So, 50 different battalions can be sent.
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if the linear dimensions of the cube double, what is the total electric flux through the cubic surface now?
If the linear dimensions of the cube double, the total electric flux through the cubic surface will double as well.
The total electric flux through a closed surface is equal to the charge enclosed within the surface divided by the permittivity of free space. The electric flux is given by the dot product of the electric field and the area vector of the surface, integrated over the surface.
When the linear dimensions of a cube double, the surface area of the cube increases by a factor of eight (2^3). This means that there is more surface area over which to integrate the electric flux, and therefore the total electric flux through the surface increases. However, the electric field inside the cube does not change when the dimensions double.
Therefore, the total electric flux through the surface increases as the cube's dimensions double, because there is more surface area over which to integrate the constant electric field. The increase in total electric flux is proportional to the increase in surface area, which is a factor of eight.
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Let’s dance portfolio answers? precal
A dance portfolio for precaliberence in dance should feature a comprehensive resume, videos of performances, photographs, and any relevant awards or certifications. This combination of elements provides a well-rounded representation of a dancer's skills, accomplishments, and potential.
A dance portfolio is a collection of works that showcases an individual's skills, creativity, and versatility in the field of dance. It is a comprehensive representation of their training, experiences, and accomplishments. As a dancer, my portfolio would include various elements that highlight my precaliberence in dance.
Firstly, I would include a detailed resume outlining my dance education, including the styles I have studied, the instructors I have trained under, and any notable performances or competitions I have participated in. This provides a snapshot of my training and experience.
Next, I would include a compilation of videos showcasing my dance performances. These videos would demonstrate my technical proficiency, artistry, and ability to interpret different styles of dance. They may include solo performances, duets, or group routines, allowing the viewer to witness my versatility and adaptability as a dancer.
Additionally, I would include high-quality photographs capturing dynamic moments from my performances. These images would convey the emotions and expressions that I bring to my dance, as well as demonstrate my stage presence and physicality.
Lastly, I would incorporate any awards, scholarships, or certifications I have received throughout my dance journey. These achievements serve as evidence of my dedication, commitment, and recognition within the dance community.
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What is the ratio of apples to bananas? 6 bananas and 2 apples. 6 bananas and 2 apples. [show me an apple.] choose 1 answer: choose 1 answer: (choice a) a 2:62:62, colon, 6 (choice b) b 6:26:26, colon, 2 (choice c) c 2:82:82, colon, 8 (choice d) d 8:28:2
The ratio of apples to bananas, given 6 bananas and 2 apples, is 1:3. The ratio of apples to bananas can be determined by dividing the number of apples by the number of bananas.
In this case, there are 2 apples and 6 bananas. Dividing 2 by 6 gives us the ratio of 1:3. To represent the ratio in the given answer choices:
Choice (a) states 2:6, which is incorrect as it does not match the given quantities.
Choice (b) states 6:2, which is also incorrect as it swaps the quantities. Choice (c) states 2:8, which is incorrect as it changes the quantity of bananas.
Choice (d) states 8:2, which is incorrect as it swaps the quantities. Therefore, the correct ratio of apples to bananas is 1:3, indicating that for every apple, there are three bananas.
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Enrique is selling a drop leaf table and wants to include the area of the table when the leaves are down is his ad.
What is the area of the center section when the leaves are down? Explain how you found your answer. HELPPP
Answer:
drop-leaves 38 in "U SE 22 1 19 0 o Let the center of the table be O and the chord of length 38 in.be AB Drop a perpendicular from to AB meeting it at C. Since the diameter of the circle is 44 in., the radius of the circle must be 22 in. and thus, OA= = in. By the definition of the sine function, AC sin 500-Twice that gives ZAOB, so the area of OA sector AOB is about in and the area of AAOB is 1 OA. OB sin 20-in? Subtracting the area of the triangle from the area of the sector shows that the area of the segment bounded by chord AB is about in (Type integers or decimals rounded to four decimal places as needed.) 19 22 B 2
Step-by-step explanation: i really hope this is what your looking for, and helps!! love you have an amazing day:)) -marina mae
The area of the center section when the leaves are down is evaluated being of 932.84 in.²
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
\(|AC|^2 = |AB|^2 + |BC|^2\)
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
The simplified figure is attached below.
We need to find the area PQRS.
Area(PQRS) = 4(Area(DOQ) + Area(QOB)) (by symmetry.
The line OD and OT are perpendiculars on those 38 inch chords, and therefore D and T are bisecting them(by a theorem that perpendicular from center of a circle to its chords bisect them).
Finding Area of DOQ:Using Pythagoras theorem, we get:
\(|DO| = \sqrt{|OQ|^2 -|DQ|^2 } = \sqrt{22^2 - 19^2} = \sqrt{123}\)
Thus, we get:
\(\text{Area DOQ} = \dfrac{1}{2} \times 19 \times \sqrt{123} \approx 105.36 \: \rm in^2\)
Finding Area of QOB:Since angle ∠DQO and ∠QOB are alternate interior angle, they are of same measure.
From triangle DOQ, from the perspective of ∠DQO, we get the sine ration as:
\(\sin(m\angle DQO) = \dfrac{|DO|}{|OQ|}\\m\angle DOQ = \sin^{-1}\left( \dfrac{\sqrt{123}}{22}\right) \approx 30.27^\circ \: \text{(chose acute angle)}\)
Thus, we get:
\(m\angle QOB \approx 30.27^\circ\)
360 degrees cover full area of circle,
1 degree will cover full area /360 of the circle
Thus, we get:
Aera of the sector QOB = Area covered by central angle ∠QOB\(\approx 30.27 \times \dfrac{\pi (22)^2}{360} \approx 127.85 \: \rm in^2\)
Thus, as we have:
Area(PQRS) = 4(Area(DOQ) + Area(QOB))
we get:
Area(PQRS) ≈ 4(105.36 + 127.85) ≈ 932.84 in.²
Thus, the area of the center section when the leaves are down is evaluated being of 932.84 in.²
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Discrete Math
Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G denote the distribution over the number of girls chosen.
a. What is the range of G?
b. Give the distribution over the random variable G.
Answer:
Step-by-step explanation:
a. The range of G is the set of possible values that G can take. G represents the distribution over the number of girls chosen, so G can take any value between 0 and 2, inclusive. That is, the range of G is {0, 1, 2}.
b. To give the distribution over the random variable G, we need to determine the probability of each possible value of G.
Let's consider each possible value of G in turn:
If no girls are chosen (G=0), then both representatives must be boys. The probability of choosing a boy on the first draw is 3/10, and the probability of choosing another boy on the second draw is 2/9 (since there are only 2 boys left). Therefore, the probability of G=0 is (3/10) * (2/9) = 1/15.
If one girl is chosen (G=1), then one representative must be a girl and the other must be a boy. There are two ways this can happen: either the girl is chosen first and then the boy, or the boy is chosen first and then the girl. The probability of choosing a girl on the first draw is 7/10, and the probability of choosing a boy on the second draw is 3/9 (since there are 3 boys left). The probability of choosing a boy on the first draw is 3/10, and the probability of choosing a girl on the second draw is 7/9 (since there are 7 girls left). Therefore, the probability of G=1 is (7/10) * (3/9) + (3/10) * (7/9) = 14/45.
If two girls are chosen (G=2), then both representatives must be girls. The probability of choosing a girl on the first draw is 7/10, and the probability of choosing another girl on the second draw is 6/9 (since there are 6 girls left). Therefore, the probability of G=2 is (7/10) * (6/9) = 7/15.
Therefore, the distribution over the random variable G is:
G=0 with probability 1/15
G=1 with probability 14/45
G=2 with probability 7/15
Choose the equation for the line shown on the graph.
Answer:
it's A
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
u can find the y-intercept by substituting 0 in place of Y so it will be;
Y= 2
hence, the co-ordinate will be (0,2) so the equation must be y=2/3x+2
help please anybody hmm
Answer:
94.6-18.8=75.8
75.8 is the answer
Step-by-step explanation:
Hope this helps
May i get braineist pls?
rewrite each equation using the properties of exponents
1. (\((\frac{4}{64\frac{5}{6} })^{\frac{1}{2} }\)
2. \(3m\frac{1}{4} (mn\frac{1}{3} ) ^{\frac{3}{2} }\)
3.\(2a\frac{1}{2} (5a\frac{1}{2} b\frac{1}{4} )^{2}\)
The properties of exponents
1. \((64)^{1/2}\) = √(64) = 8
2. \(3m(mn)^(3/2)\) = \(3m(m^{3/2}n^{3/2})\)
3. 2a(5ab)² = \(2a(25a^2b^2) = 50a^3b^2\)
The properties of exponents can be used to simplify and rewrite expressions involving powers and roots. The most common properties are:
Product of powers: \(a^m\) * aⁿ = \(a^{m+n}\)
Quotient of powers: \(a^m\)/ aⁿ = \(a^{m-n}\)
Power of a power: \((a^m)^n\) = \(a^{mn}\)
Power of a product: \((ab)^m\) = \(a^m\) * \(b^m\)
Power of a quotient: \((a/b)^m\) = \(a^m\)/ \(b^m\)
Using these properties, we can rewrite the given equations as follows:
1. \((64)^{1/2}\) = √(64) = 8
The square root of 64 is 8. The power of 1/2 represents the square root.
2. \(3m(mn)^(3/2)\) = \(3m(m^{3/2}n^{3/2})\)
The power of 3/2 represents the square root of the square. We can use the product of powers property to combine the m and n terms under the same square root.
3. 2a(5ab)² = \(2a(25a^2b^2) = 50a^3b^2\)
We can use the power of a product property to square the 5ab term, and then simplify by combining the like terms.
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Suppose the mean daily peak power load ( y) for a power plant and the maximum outdoor temperature (x) for a sample of 6 days is as given in the ff. Table x y 95 214 82 152 90 156 81 129 99 254 100 266 find the ff. The peak power load when the max. Temperature is 84.
As per the daily mean, the peak power load when max is possible to calculate with a computer or calculator.
The highest outdoor temperature and the mean daily peak power load for a sample of 6 days are provided in the table. However, it is impossible to estimate the peak power load when the highest temperature is 84 without more details. The presented data only reflects a sample of 6 days, which may not be typical of the full population, and the connection between peak power load and maximum temperature may not be linear. Furthermore, using the provided data to conduct any calculations is impossible without access to a computer or calculator.
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By what percent will a fraction increase if its numerator is decreased by 30%
а
and its denominator is decreased by 50%?
Answer:
40%
Step-by-step explanation:
Let x = numerator
Let y = denominator
\(\implies \dfrac{x}{y}\)
Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7
Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5
\(\implies \dfrac{0.7x}{0.5y}\)
\(\implies \dfrac{0.7}{0.5}=1.4\)
\(\implies 1.4 \ \dfrac{x}{y}\)
1.4 as a percentage = 1.4 x 100 = 140%
Therefore, the percentage increase is 140 - 100 = 40%
Given \qquad \overline{PQ}\perp\overline{PS} PQ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end overline \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:
Answer: 40 degrees
Step-by-step explanation:
did this on khan! :)
3. A leaking tap drips water at 0,5 ml/sec. Convert this rate to l/h.
Answer: 1.8 L/h
Step-by-step explanation:
To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.
Step 1:
First, let's convert the rate from millilitres per second to litres per second.
There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:
\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)
Step 2:
We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:
\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)
Therefore, the rate of water dripping from the tap is 1.8 L/h.
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A small cab carries 4 people. How many small cabs will I need to transport 44 people?
Which property is used to eliminate the parentheses when solving the equation 2/3 − 8x=16(4x−1)?
Addition Property
Associative Property
Distributive Property
Multiplication Property
Answer:
Distributive Property
Step-by-step explanation:
16(4x -1) = 16 · 4x - 16·1
16 is distributed across both terms and multiplied by each term
I need help fast please. I also need explanation on an easy way to do it.
The correct equation that is balanced using the given numbers once is;
5(-1 + (-3)) = (7 * -4) + 8
How to carry out Algebra Properties?There are different properties of Algebra such as;
Commutative Property of Addition or multiplication
Associative Property of Addition or multiplication
Distributive Property
Now, from the given numbers, it will be best to use only a positive digit outside the bracket on the left hand side to make it easy to balance on the right hand side. Thus, for the left hand side we will try;
5(-1 + (-3))
When that is solved we will get -20
Now, to balance that on the right hand side , we will have;
(7 * -4) + 8
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Answer + method / explanation please
The expressions for the lengths of the segments obtained using vectors notation are;
a. i. \(\overrightarrow{LA}\) = q - (1/2)·p ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)
b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;
\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)
What are vectors?A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)
a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) = \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)
\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p
\(\overrightarrow{LA}\) = q - (1/2)·p
ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × (p - q)
b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)
\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)
\(\overrightarrow{LA}\) = q - (1/2)·p
\(\overrightarrow{AN}\) = (2/7) × (p - q)
Therefore;
\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)
\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)
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A golf ball was hit and modeled by
-16x2 + 11x + 6 = 0
When will the golf ball hit the ground?
Round to the nearest hundreths
By using the quadratic formula, we can conclude that the golf ball will hit the ground at x = 0.5 seconds.
What is the quadratic formula?
The quadratic formula is a formula that gives the solutions of a quadratic equation in the form \(ax^2 + bx + c = 0\), where a, b, and c are constants and x is the variable. The formula is:
x = (-b ± \(\sqrt{b^2 - 4ac}\)) / 2a
This formula can be used to find the values of x that satisfy the quadratic equation.
To find when the golf ball will hit the ground, we need to find the value of x when the height of the golf ball is equal to zero. We can do this by solving the quadratic equation \(-16x^2 + 11x + 6 = 0\) using the quadratic formula:
x = (-b ± \(\sqrt{b^2 - 4ac}\)) / 2a
where a = -16, b = 11, and c = 6. Substituting these values, we get:
x = (-11 ± \(\sqrt{11^2 - 4(-16)(6)}\) ) / 2(-16)
x = (-11 ± \(\sqrt{361}\))/ (-32)
Simplifying this expression, we get:
x = (-11 ± 19) / (-32)
So the two possible values of x are:
x = 8/16 = 0.5 and x = 30/16 = 1.88
Since the height of the golf ball is equal to zero when it hits the ground, we can conclude that the golf ball will hit the ground at x = 0.5 seconds (rounded to the nearest hundredth).
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Most people believe that smoking is unhealthy. The table given is the result of a study of randomly selected deaths of men aged 45 to 64 years. The table contains the causes of death, along with whether the men were smokers or nonsmokers. Smoker Nonsmoker Total Cancer 135 55 190 Cause of death Heart disease Other 310 205 155 140 465 345 Total 650 350 1000 If we were to conduct a x2 test to see if there is a relationship between smoking habits and cause of death, how many degrees of freedom would the distribution have? 06 O O O
The distribution for the χ2 test to see if there is a relationship between smoking habits and cause of death would have 2 degrees of freedom.
To find the degrees of freedom for a chi-square (χ2) test with the given table, you'll need to follow these steps:
1. Identify the number of rows and columns in the table. In this case, there are 3 rows (Cancer, Heart disease, and Other) and 2 columns (Smoker and Nonsmoker).
2. Use the formula for degrees of freedom: (number of rows - 1) x (number of columns - 1). In this case, it would be (3 - 1) x (2 - 1).
3. Calculate the result: 2 x 1 = 2.
Therefore, the distribution for the χ2 test to see if there exists a relationship between smoking habits and cause of death would have:
2 degrees of freedom.
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The radius of a cylinder is decreasing at a
constant rate of 9 feet per second. The volume remains a constant 335 cubic feet. At the instant when the radius of the cylinder is 9 feet, what is the rate of change of the height? The volume of a cylinder can be found with the equation
V arah. Round your answer to three
decimal places.
At the instant when the radius is 9 feet, the height of the cylinder is decreasing at a rate of 2.54 feet per second.
To solve this problem, we can use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height. Since the volume remains constant at 335 cubic feet, we can set up the equation:
335 = π(9^2)h
Simplifying this, we get:
335 = 81πh
h = 335/(81π)
Now, we can differentiate the volume equation with respect to time to find the rate of change of the height:
dV/dt = 2πrh(dr/dt) + πr^2(dh/dt)
Since the volume is constant, dV/dt = 0. Also, we know that dr/dt = -9 feet per second. At the instant when the radius is 9 feet, r = 9. So we can plug in these values and solve for dh/dt:
0 = 2π(9)h(-9) + π(9^2)(dh/dt)
dh/dt = 2.54 feet per second
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The data from two random samples where 300 students were asked about their favorite zoo animal
is shown. What percentage of students chose the lion as their favorite animal?
Answer:
yo we need the data lol how many
Answer:
20%
if there are 300 students and 60 of them chose the lion, 20% of the students chose lion
solve for X (3X+1) (10) (22) (7x-1)
Answer:
The value of x is 8
Step-by-step explanation:
In the given triangle
∵ A line segment joining points on two sides and parallel to the 3rd side
→ That means this line segment divided the two sides into equal ratios
∵ It divided the 1st side into 10 and 3x + 1
∵ It divided the 2nd side into 22 and 7x - 1
∴ \(\frac{10}{3x+1}\) = \(\frac{22}{7x-1}\)
→ By using cross multiplication
∵ 10(7x - 1) = 22(3x + 1)
∴ 10(7x) - 10(1) = 22(3x) + 22(1)
∴ 70x - 10 = 66x + 22
→ Subtract 66x from both sides
∵ 70x - 66x - 10 = 66x - 66x + 22
∴ 4x - 10 = 22
→ Add 10 to both sides
∴ 4x - 10 + 10 = 22 + 10
∴ 4x = 32
→ Divide both sides by 4
∴ x = 8
∴ The value of x is 8
Write an inequality that
represents the graph below.
50 51 52 53 54 55 56 57 58 59
The required inequality represented by the number line is 54≤x<58
What is number line?A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
here, we have,
Number line and graph
From the given number line, you can see that the circle is on the 53 value and closed. The closed circle shows that the inequality sign will contain the equal sign.
For the direction of arrow, the direction is towards the positive side of the number line showing that the required inequality is:
54≤x<58.
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Pls explain
Pythagorean theorem
Determine the missing measurements for each TV.
32" TV height: 16" width: _____
• _____ TV height: 34" width: 61"
• 60" TV height: 30" width: _____
• _____ TV height: 20" width: 35"
• 52" TV height: _____ width: 45"
If a TV has the following dimensions 48" wide, 27" height, and 55"diagonal. Respond to the following questions.
If the TV is 5" wider and 3" higher, what is the new diagonal measurement? (Show work)
If the TV is 3" wider and 5" higher, what is the new diagonal measurement? (Show work)
For the 32" TV: height = 16", width = 28".
• For the second TV: height = 15", width = 61".
• For the 60" TV: height = 30", width = 52".
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Now let's determine the missing measurements for each TV:
1. For the 32" TV, we have the height as 16". To find the width, we need to use the Pythagorean theorem. Let's denote the width as 'w'. The theorem gives us the equation: 16^2 + w^2 = 32^2. Solving this equation, we find that the width is 28".
2. For the second TV with unknown height and a width of 61", we can use the Pythagorean theorem again. Denoting the height as 'h', we have the equation: h^2 + 61^2 = 34^2. Solving for 'h', we find that the height is 15".
3. For the 60" TV with a height of 30" and an unknown width, we can apply the Pythagorean theorem. Denoting the width as 'w', we have the equation: 30^2 + w^2 = 60^2. Solving for 'w', we find that the width is 52".
In summary:
• For the 32" TV: height = 16", width = 28".
• For the second TV: height = 15", width = 61".
• For the 60" TV: height = 30", width = 52".
Learn more about height here
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True or False: To multiply fractions, you must have common denominators.
Answer:
False.
Step-by-step explanation:
You don't need common denominators to multiply fractions. You can multiply both the numerator and denominator of each fraction normally.
help me out please
(geometry)
Answer:
x = 17
Step-by-step explanation:
The angles are same side interior angles and they will add to 180 when the lines are parallel
6x+8 + 4x+2 = 180
10x+10 = 180
Subtract 10 from each side
10x+10-10 =180-10
10x = 170
Divide by 10
10x/10 = 170/10
x = 17
Answer:
x = 17
Step-by-step explanation:
Theorem:
If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.
For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.
6x + 8 + 4x + 2 = 180
10x + 10 = 180
10x = 170
x = 17
The side length of a cube
can be represented
by the expression 2x5. If the side length is
doubled, write an
expression to represent the
new volume of the cube.
Answer: 2x5=10 if it was doubled its 20 but wouldnt this be a measure of size and not of volume we would have to see all measurments for this, put 20 down and see if that works.
Step-by-step explanation: i have f's in all of my classes so dont trust me. lol
charlie and zach are each making a scale drawing of the school garden. the garden measures 30ft by 12ft. charllie plans to use a scale of 1in:2ft. zach plans to use a scale of 2in:1ft.
Answer:
Charlie's diagram: 15 inches by 6 inches
Zach's diagram: 60 inches by 24 inches