Answer:
28
Step-by-step explanation:
2-(-5)=7--one side
square (all sides are the same)
4 sides in total
7x4=28
In the diagram below, triangle A is similar to triangle B. What is the value of n?
In the diagram below, triangle A is similar to triangle B. What is the value of n?
Answer:
n = 2
Step-by-step explanation:
Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.
Thus:
\( \frac{10}{n + 2} = \frac{6}{3} \)
\( \frac{10}{n + 2} = 2 \)
Multiply both sides by (n + 2)
\( \frac{10}{n + 2}(n + 2) = 2(n + 2) \)
\( 10 = 2n + 4 \)
Subtract 4 from each side
\( 10 - 4 = 2n + 4 - 4 \)
\( 6 = 2n \)
Divide both sides by 2
\( \frac{6}{2} = \frac{2n}{2} \)
\( 3 = n \)
n = 2
Find the length of AB
AB is about 53.74 so the answer is (A)
\( \sin(c) = \frac{opposite}{hypotenuse} \)
\( \sin(61) = \frac{47}{x} \)
\( (x)\sin(61) = \frac{47}{x} (x)\)
\((x) \sin(61) = 47\)
\( \frac{(x) \sin(61) }{ \sin(61) } = \frac{47}{ \sin(61) } \)
\(x = \frac{47}{ \sin(61) } \)
\(x = 53.74\)
jalen found an outfit that is 20% off of the original price of $65. Find the discounted price of the outfit.
Answer:
$52
Step-by-step explanation:
0.2 x 65 = 13
65-13 = 52
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
A) Find the difference between3y minutes and 25y second,giving your answer in second.
B) find the sum of 50(3z- 2) minutes and4(z+1) hour,giving your answer in second.
Pls tell answers of both question
Answer:
a. 3 mintes = 180 seconds
Answer:
155ysec ; 23400z+ 8400 secs
Step-by-step explanation:
3y mins = 3* 60=180y sec
3y mins - 25y sec= 180y sec - 25y= 155y sec
155ysec
From B
50(3z-2)min = 50 * 60 (3z-2) sec
= 3000(3z-2)=9000z-6000
4 (z + 1) hours =4*3600(z+1) =14400z + 14400z
Adding both expression we have;
9000z+14400z-6000+14400=23400z+ 8400 secs
23400z+ 8400 secs
Experimental/theoretical
Answer:
200
Step-by-step explanation:
Ella's name appears on the table 2/10 times, so we can multiply the denominator to make it 1000.
10x100 = 1000
If we multiply the denominator by 100, we must do the same to the numerator,
2x100=200
In 1000 draws Ella's name can be expected to come about 200 times.
What is an experiment?An experiment is a way of determining how things may work.
From small sample space of experiments or models, we can assume the result of a larger sample space or models.
From the given table we observe that Ella's name came 2 times out of 10 random draws.
∴ In (10×100) = 1000 draw Ella's name can be expected to come about
(2×100) = 200 times.
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A university has raised $6,000 for a new scholarship fund. A university trustee offers to match the donation up to 30% if the university can raise $5,000 more for the fund. If the university is able to raise the extra amount, how much money will be in the fund after the trustee's donation?
Answer:
$14300
Step-by-step explanation:
30% is the same as .3
They are raising 5k more to the 6k so 5000+6000= 11000
.3*11000= 3300...so the trustee is adding 3300 to the fund, making the total fund 3300+11000= $14300
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Step-by-step explanation:
if you take one bowl of noodle then you add it in your rectum use spicy to add extra to ensure extra crispy taste then run around only 5 times around the beach
Emma's dad and her Uncle Pete are trying to recreate their dad's famous dipping sauce for an upcoming family reunion. They remember thinking the sauce was too spicy when they were kids, but they can't remember exactly how much spicy chipotle sauce and tangy mayonnaise to mix now. Emma's dad uses 8 tablespoons of chipotle sauce and 12 tablespoons of mayonnaise. Uncle Pete uses 6 tablespoons of chipotle sauce and 10 tablespoons of mayonnaise. Who makes a spicier sauce?
Answer:
Emmas dad makes a spicier sauce
Step-by-step explanation:
i did this one
10 workers can finish the job in 15 days. For the first 5 days, only 6 workers worked on the job. Then for the next 3 days 2 more workers joined them. To finish the job, 4 more workers joined
them. After how many days was the whole job done?
A. 8days
B. 12days
C. 16days
D. 18days
Answer:
C. 16 days
Step-by-step explanation:
Let´s say each worker does 1 ¨work¨, for each day, in order to complete the job in 15 days. That´s a total of 150 work.
If only 6 workers worked for the first 5 days, then we only do 30 by Day 5.
2 more workers join, so they do 8 work each day, 24 work in 3 days, 54 work by Day 8.
4 more workers join to complete the job, so we now do 12 work each day.
150 - 54 = 96
96 work is left to do, which would be done in 8 days by 12 workers.
8 days + 8 days = 16 days
the sum of one-seventh of a number and five-sixths of the number?
Answer:
hi you need to be Betta at cash s
Please help!! Urgent!
Answer:
\( log_{3}( {x}^{3} + {2x}^{2})\)
Answer:
Answer:
log_{3}( {x}^{3} + {2x}^{2})log
3
(x
3
+2x
2
what is 2 plus 2 plus 3 plus 3 plus 5
Answer:
the answer to the question would be 15
Answer:
15
Step-by-step explanation:
A credit card offer comes in the mail with the bold print "0% A.P.R. for New Accounts." Which important piece of information should you find before thinking about signing up?
"What is the A.P.R. after the introductory period ?" you find before thinking about signing up.
An introductory APR seems to be a special rate of interest offered by credit card providers to prospective clients for something like a predetermined period of months following opening a bank account.Numerous credit cards provide promotional APRs upon expenditures buying products, debt transfers, or sometimes both. Such rate was considerably cheaper than the estimated APR, typically as minimal as 0%.
Thus the response above is right.
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Maria has been tracking the number of songs she has
downloaded on her smart phone for the past several
months. Use the scatterplot and line of best fit below to
help her determine when she will reach 10,000 songs?
Answer:
The answer of the given question based on the scatterplot for determining when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.
What is Slope?Slope is measure of steepness or incline of line. In geometry and mathematics, slope is defined as ratio of the change in y-coordinates to change in x-coordinates between two distinct points on line. This is often represented by letter "m".
To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.
From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.
Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).
The slope of the line passing through these two points is:
slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month
This means that Maria is downloading 600 songs per month on average.
Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:
y = mx + b
10,000 = 600x + 2000
8000 = 600x
x = 13.33
Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.
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Suppose that a point moves along some unknown curve y = f(x) in such a way that at each point (x,y) on the curve the tangent line has a slope \(\frac{x^{2}}{2}\) . Find an equation for the curve,given that it passes through (1,1).
\(y = \frac{x^3 +5}{6}\\\)
Step-by-step explanation:\(\frac{x^2}{2}\\\) is just the the derivative of \(f(x)\) since it it is the slope of the line tangent to the curve at \(x\). To find how \(f(x)\) is defined, we'll just take the anti-derivative of \(\frac{x^2}{2}\\\).
Recall:
\(\int x^n \mathrm{d}x = \frac{x^{n +1}}{n +1} &, &n \neq -1\\\)
Solving for \(f(x)\):
\(f(x) = \int \frac{x^2}{2} \mathrm{d}x \\ f(x) = \frac12 \int x^2 \mathrm{d}x \\ f(x) = \frac12 \cdot \frac{x^3}{3} \\ f(x) = \frac{x^3}{6} +C\)
We still have to solve for \(C\). Note that the point \((1,1)\) has to be on our graph so \(f(1) = 1\) or \(\frac{(1)^3}{6} +C = 1\\\).
Solving for \(C\):
\(\frac{(1)^3}{6} +C = 1 \\ \frac{1}{6} +C = 1 \\ C = 1 -\frac{1}{6} \\ C = \frac{6}{6} -\frac{1}{6} \\ C = \frac{5}{6}\)
We can finally write \(f(x) = \frac{x^3}{6} +\frac{5}{6}\\\) or \(f(x) = \frac{x^3 +5}{6}\\\). Since \(y = f(x)\), we can write it as \(y = \frac{x^3 +5}{6}\\\) as well.
Boris feeds his dog 3/5 pounds of dog food for each meal. Boris has just bought 30 pounds of dog food. For how many meals will the food last?
The number of meals that Boris can feed his dog will be 50 meals.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Boris takes care of his canine with 3/5 pounds of canine nourishment for every dinner. Boris has quite recently purchased 30 pounds of canine food.
The number of meals that Boris can feed his dog will be calculated as,
⇒ 30 ÷ (3/5)
Simplify the expression, then we have
⇒ 30 ÷ (3/5)
⇒ 30 / (3/5)
⇒ 30 x 5 / 3
⇒ 10 x 5
⇒ 50
The number of feasts that Boris can take care of his canine will be 50 dinners.
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Find (g of (26) when f(x) = X-2 and g(x) = 7x + 2.
A) "
B) 54
C) 44
D) 1104
Answer:
To find g(26) when g(x) = 7x + 2, we simply need to substitute x = 26 into the expression for g(x):
g(26) = 7(26) + 2
g(26) = 184
Now, to find (g of f)(x), we need to substitute f(x) into the expression for g(x):
(g of f)(x) = g(f(x)) = 7(f(x)) + 2
Since f(x) = x - 2, we can substitute x - 2 for f(x) in the expression for g(x):
(g of f)(x) = g(x - 2) = 7(x - 2) + 2
Simplifying this expression, we get:
(g of f)(x) = 7x - 12
Now, to find (g of f)(26), we simply substitute x = 26 into the expression we just found:
(g of f)(26) = 7(26) - 12
(g of f)(26) = 182
Therefore, the answer is A) (not listed).
Instructions: Identify the key features of the following graph. If the Domain is all real numbers, type in 'All Real" into the Domain box
Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)
How to determine the key features?Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:
Vertex: The graph's vertex is at (-1, -5), which indicates that the graph extends upwards (because y = -5 is the minimal value).A vertical line at x = -1 serves as the graph's axis of symmetry. The graph is split into two symmetrical sections by this line.Y-intercept: The graph's y-intercept is at (0, -3), which indicates that here is where the graph and y-axis connect.The graph has a minimum point at y = -5, which is also the vertex of the graph and the lowest point on it.The graph's domain is set as "All Real" or "(-, )", which signifies that it spans all real values on the x-axis horizontally.Range: The graph's range is defined as y -5, which indicates that it climbs vertically from -5 and above on the y-axis.The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).
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please help asap !!!
Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect
Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
What is meant by slope-intercept?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation. Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.To learn more about slope-intercept, refer to:
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Evaluate: (4x¹⁴)(8x¹¹) *
Answer:
32x^25
Step-by-step explanation:
4x^14*8x^11
y - 7 = 3 help me pls
Answer:
The answer is in the link
Step-by-step explanation:
Brainliest pls
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
11. What's one way we can check our answer to 2
X10 = 20?
A. 2 = 10 = 20
B. 20 x 10 = 2
C. 20 = 10 = 2
Answer:
20 ÷ 10 = 2
or
20 ÷ 2 = 10
Step-by-step explanation:
multiplication is the opposite of division
What is the reference angle for the angle with the measure 2x/3
The reference angle for the angle with the measure 2x/3 is 54⁰
How to determine the reference angle?You should understand that a reference angle is the acute angle to a given angle.
The given angle is 2x/3
We should understand that since the angle has the variable x
= x + 2x/3 = 90⁰
Simplifying the fraction to have
(3x+2x)/3 = 90
Cross and multiply we have 5x=270⁰
Making x the subject
x= 270/5
x=54⁰
Therefore, the reference angle with the measure 2x/3 is = 54⁰
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A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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Which of the following expressions is equivalent to the expression x-(-3) ?
О-Зх
Ox+(-3)
OX-3
Ox+3
A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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Find cos(2a+B) given that a = sin^-1 (4/5) and B = Tan^-1 (12/5)
cos(2a + B) is approximately equal to -0.2948.
why it is?
To find cos(2a + B), we can use the double angle formula for cosine:
cos(2a + B) = cos(2a)cos(B) - sin(2a)sin(B)
We already know the values of a and B, so we can substitute them into the formula and simplify using the trigonometric identities:
a = sin²-1(4/5) = 53.13° (rounded to two decimal places)
B = tan²-1(12/5) = 67.38° (rounded to two decimal places)
cos(2a) = cos²2(a) - sin²2(a) = (cos(a))²2 - (1 - (cos(a))²2) = 2(cos(a))²2 - 1
cos(2a) = 2(sin²-1(4/5))²2 - 1 = 2(0.8)²2 - 1 = 0.32
sin(2a) = 2sin(a)cos(a)
sin(2a) = 2(sin(sin²-1(4/5)))cos(sin²-1(4/5)) = 2(4/5)(3/5) = 0.96
cos(B) = 1/sqrt(1 + tan²2(B)) = 1/sqrt(1 + (12/5)²2) = 5/13
sin(B) = tan(B)cos(B) = (12/5)(5/13) = 0.48
Substituting these values into the formula for cos(2a + B) gives:
cos(2a + B) = cos(2a)cos(B) - sin(2a)sin(B)
cos(2a + B) = (0.32)(5/13) - (0.96)(0.48)
cos(2a + B) = 0.166 - 0.4608
cos(2a + B) = -0.2948
Therefore, cos(2a + B) is approximately equal to -0.2948.
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