Five times the product of negative four and a number
Answer:
-20x
Step-by-step explanation:
Let the number be x.
The product of -4 and this number is -4x.
5 times this is 5(-4x), which simplfiies to -20x.
What type of triangle has side lengths of 19 cm, 19 cm, and 20 cm?
Answer:
An isosceles triangle.
Step-by-step explanation:
If two sides are the same, and one is different and there are no right angles present, it is an isosceles triangle.
Answer:
acute isosceles triangle
Step-by-step explanation:
2 sides are the same = isosceles
Find the value of:
a) x2 when x = 6
Answer:
x2 = (6)2 = 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
This is the answer because:
1) Rewrite the equation inserting all the numbers needed
Equation: 6(2)
2) Next, just multiply 6 x 2 which is 12
6(2) = 12
Therefore, the answer is 12
Hope this helps!
Look at the figure below:This figurerotational symmetry.This figurepoint symmetry. the options are either “has” or “has not”
A figure has rotational symmetry if it can be rotated about a point less than full turn and still look the same as it did before.
The figure in question can be rotated about the centre in less than a full turn and look the same as it did before. Therefore it has rotational symmetry of order 5
A figure has point symmetry if when turned upside down it looks the same as before. The figure in question when turned upside down does not look the same and therefore does not have point symmetry.
Quadrilateral QPRS is transformed by a dilation centered at the origin with a scale factor of 2 to create quadrilateral Q'P'R'S'. Which are the coordinates of quadrilateral Q'P'R'S'?
Q'(4, 4), P'(0, 0), R'(-4, -8), S'(8, -4)
Q'(1, 1), P'(0, 0), R'(-1, -2), S'(2, -1)
Q'(4, 4), P'(2, 2), R'(0, -2), S'(6, 0)
Q'(0, 0), P'(-2, -2), R'(-4, -6), S'(2, -4)
Answer:
B
Step-by-step explanation:
The coordinates of quadrilateral Q'P'R'S' is
Q'(4, 8), P'(0, 0), R'(-4, -8), S'(8, -4).
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
To perform a dilation centered at the origin with a scale factor of 2, we need to multiply the x and y coordinates of each vertex by 2.
So starting with the coordinates of quadrilateral QPRS:
Q(2, 4), P(0, 0), R(-2, -4), S(4, -2)
Multiplying each coordinate by 2, we get:
Q'(4, 8), P'(0, 0), R'(-4, -8), S'(8, -4)
Therefore,
The coordinates of quadrilateral Q'P'R'S' is
Q'(4, 8), P'(0, 0), R'(-4, -8), S'(8, -4).
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The complete question.
Quadrilateral QPRS is transformed by a dilation centered at the origin with a scale factor of 2 to create quadrilateral Q'P'R'S'. Which are the coordinates of quadrilateral Q'P'R'S'?
Where
The coordinates of PQRS are:
Q = (2, 4), P = (0, 0), R = (-2, -4), S = (4, -2).
Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.
How many unique outcomes are possible where the number on the cube is greater than 3?
Answer:
3
Step-by-step explanation:
A cube will have six sides, therefore the numbers would run from 1 to 6 on a cube. There are only 3 numbers after 3 up until 6. So it is 3.
The total number of possible outcomes for the probability is P = 24 outcomes
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Rolling a cube: A standard six-sided cube has numbers 1 through 6. However, we are only interested in outcomes where the number on the cube is greater than 3.
So there are only 3 possible outcomes: 4, 5, or 6.
Spinning a spinner: The number of possible outcomes on a spinner depends on the specific spinner being used. Now , the spinner has 4 equally likely outcomes: A, B, C, and D.
Flipping a coin: A standard coin has 2 sides: heads (H) and tails (T). So there are 2 possible outcomes.
Multiplying the number of outcomes for each event, we get:
Number of outcomes for rolling a cube: 3
Number of outcomes for spinning a spinner: 4
Number of outcomes for flipping a coin: 2
Total number of possible outcomes: 3 x 4 x 2 = 16
Hence , there are 24 unique outcomes possible where the number on the cube is greater than 3
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The complete question is attached below :
Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.
How many unique outcomes are possible where the number on the cube is greater than 3?
Help! Need ASAP! ;((
Answer:
7+(-11)
Step-by-step explanation:
because it starts from 0 to 7 then goes down 11
so 7+(-11)
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PLEASE FIGURE THIS OUT!
Figure M and it’s congruent image, figure N, are graphed on the coordinate plane below.
Describe a sequence of transformations that will take figure M onto its congruent image, figure N.
These three transformations, figure M will be superimposed onto its congruent image, figure N. Note that the order of the transformations is important and must be followed exactly as described.
What is Reflection?In mathematics, reflection is type of transformation that involves flipping an object over a line. The line over which object is flipped called "line of reflection" or "mirror line".
To take figure M onto its congruent image, figure N, we can use the following sequence of transformations:
Translation: Move figure M to the right by the distance between the center of figure M and the center of figure N. We can find this distance by subtracting the x-coordinate of the center of figure M from the x-coordinate of the center of figure N. Let's say this distance is d units.
Reflection: Reflect the translated figure about the line of symmetry between figure M and figure N. This line of symmetry is the perpendicular bisector of the line segment connecting the centers of the two figures.
Translation: Move the reflected figure up by the distance between the center of figure M and the center of figure N. We can find this distance by subtracting the y-coordinate of the center of figure M from the y-coordinate of the center of figure N. Let's say this distance is also d units.
After these three transformations, figure M will be superimposed onto its congruent image, figure N. Note that the order of the transformations is important and must be followed exactly as described.
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What percent is modeled below?
An image shows a 10 by 10 grid where the squares in the first three columns and half of the squares in the fourth column are shaded.
A. 25%
B. 35%
C. 45%
D. 65%
Answer:
B
Step-by-step explanation:
3*10=30
1/2 of 10=5
30+5=35
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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solve the question below
Answer:
The answer is below
Step-by-step explanation:
1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.
Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:
AC² = BC² + AB²
25² = AB² + 15²
AB² = 25² - 15²
AB² = 400
AB = √400
AB = 20 cm
Using sine rule:
\(\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o\)
2)
Using Pythagoras:
hypotenuse² = 8² + 6²
hypotenuse² = 100
hypotenuse = √100
hypotenuse = 10
Using sine rule:
\(\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o\)
A coin contains 999 grams of nickel and 161616 grams of copper, for a total weight of 252525 grams.
Answer:
X=64%
Step-by-step explanation:
The percentage of Cooper in the coin is 64%
How do you come to this conclusion?
252525--100%
161616--X%
Now you can use the cross rule: X=(161616x100)/252525
Check it out now X=64%
Answer:
Your MOM
Step-by-step explanation:
Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
Given that:
Endpoints of diameter, (13, -1) and (15, 9)
The equation of the circle when endpoints of diameter are given is written as,
(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0
The equation of the circle is calculated as,
(x - 13)(x - 15) + (y + 1)(y - 9) = 0
x² - 28x + 195 + y² - 8y - 9 = 0
x² + y² - 28x - 8y + 186 = 0
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
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5 x 4 = 20 is an example of a(n) ____ statement. open True False
Answer:
true statement
Answer:
true statement
Step-by-step explanation:
5x4 is also equal to 5+5+5+5=20 or 4+4+4+4+4=20
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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The function f(x) = 12,000(1 + 0. 05)x models the fish population in a lake. What will the population be in 4 years? what was the population 4 years ago?.
About 14,586 will the population be in 4 years.
About 9,872 was the population 4 years ago.
Assuming an exponential function
\(f(x) = 12,000(1 + 0. 05)^x\)
(Where x is the number of years and f(x) is the population of fish in a lake.)
Put x = 4 in the function to determine the population in 4 years:
\(If, x=4,\\f(4) = 12,000(1 + 0. 05)^4\\f(4) = 12,000(1 . 05)^4\\f(4) = 12,000(1.21550625)\\f(4) = 14586.075\\f(4) = 14586approx\)
Add x = -4 to the function to determine the population four years ago:
\(If, x=-4,\\f(-4) = 12,000(1 + 0. 05)^{-4}\\f(-4) = 12,000(1. 05)^{-4}\\f(-4) = 12,000(0.8227024748)\\f(4) = 9872.429698\\f(-4) = 9872approx\)
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What is 35% of 280?
Answer:
98
Step-by-step explanation:
Multiply.38*280
Answer:
98
Step-by-step explanation:
To find the answer I multiplied 280 by 0.35, that is how you can quickly find a percentage. For example if you would like to find what is 7% of 280 you can just multiply it by 0.07.
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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An urn initially contains a single red ball and a single green ball. A ball is drawn at random, removed, and replaced by a ball of the opposite color, and this process repeats so that there are always exactly two balls in the urn. Let Xn be the number of red balls in the urn after n draws, with X0 = 1. Specify the transition probabilities for the Markov chain {Xn}.
The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.
The transition probabilities for the Markov chain are as follows:
If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.
If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.
If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.
So, the transition probabilities can be represented in a transition matrix as follows:
P = [ [0, 1, 0],
[0.5, 0, 0.5],
[0, 1, 0]
]
This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.
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The length of a rectangular field is represented by the expression 14x-3x^2+2y . The width of the field is represented by the expression 5x-7x^2+7y . How much greater is the length of the field than the width?
The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)
1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)
2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).
3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).
4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)
5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)
6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)
7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)
8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)
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pls help me on algebra here is screenshot
Answer:
The answer to the question provided is option 2.
Can anyone help me with this fraction
x/-4 = 9 =
Answer: x= -36
Step-by-step explanation:
-36/-4=9
i need help with the question
The intersection points are: (0, -3) and (10, 2)
The bounded area is -20.83 unit²
How to find the intersection points?(a) The intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:
(0, -3) and (10, 2)
(b) The integral terms of y which gives the area bound are:
a = -3, b = 2 (These are the y values of the intersection points)
Since we have x = y² + 3y and x = 2y + 6, we can say:
y² + 3y = 2y + 6
y² + 3y - 2y - 6 = 0
y² + y - 6 = 0
Thus, h(y) =
Using a = -3 and b = 2 with h(y) = y² + y - 6, we have the bounded area as:
\(Area = \int\limits^b_a {y} \, dy\)
\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)
Integrating the area:
Area = [y³/3 + y²/2 - 6y + C]²₋₃
Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]
Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]
Area = [-22/3] - [27/2]
Area = -125/6
Area = -20.83 unit²
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What is 1/20 written as a percent
0.5%
5%
10%
20%
Answer:
the answer is 5 percent
Answer: 5%
Step-by-step explanation:
1/20 = 5/100
5/100 = 5%
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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Out of 482 employees at the Coca Cola plant 37 are taking a vacation next week what percentage of employees are not vacationing
Answer:
92.3% are not vacationing
Step-by-step explanation:
482 - 37 = 445
445 * 100 / 482 = 92.3
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :)
Answer: Choice A) If Amber and Jorge each sell 5 trees in one week, they will earn the same amount
The amount they earn is $200 each.
========================================================
Explanation:
Let's form the equation for the amount Amber earns.
She starts off at $150, and then we add on 10x dollars. The 10x is because she earns 10 dollars per tree, and we have x be the number of trees sold.
Overall we can say her equation is y = 150+10x
This is the same as y = 10x+150
----------
Since Jorge's equation is y = 25x + 75, we can apply substitution to solve for x
y = 10x+150
25x+75 = 10x+150 .... replace y with 25x+75
25x+75-10x = 150 ... subtract 10x from both sides
15x+75 = 150
15x = 150-75 ... subtract 75 from both sides
15x = 75
x = 75/15 .... divide both sides by 15
x = 5
If they sell 5 trees per week, then Amber and Jorge earns the same amount of money.
That amount earned is
Amber: y = 10x+150 = 10*5+150 = 50+150 = 200 dollars
Jorge: y = 25x+75 = 25*5+75 = 125+75 = 200 dollars
Both earn $200 per week from selling 5 trees for that week. This helps confirm we have the right answer.
Please help!! Determine the measure of the exterior angle.
Answer:
\(92.05^{\circ}\)
Step-by-step explanation:
By the exterior angle theorem, the answer is \(m\angle Y+m\angle Z=92.05^{\circ}\).
Answer:
A
Step-by-step explanation:
exterior angle = sum of the other two angles
63.25 + 28.8
92.05°
If a new truck is valued at $19,700, what will its value be in 1 year if it depreciates 14.4 % each year?
depreciated value of truck after 1year is $16863.2
WHAT IS PERCENTAGE ?% is a relative number that is used to represent hundredths of any quantity. Since one percent (1%) equals one tenth of something, 100 percent denotes the entire amount, and 200 percent denotes twice the amount mentioned.
CALCULATIONnew truck valued depreciates 14.4% then
if old truck value be 100 % , depreciated value will be 85.6 %
so depreciated value will be = 19700* 85.6 /100
= $16863.2
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Inductive reasoning involves using _______ information to create a _______ rule. A. specific; general B. general; specific C. new; algebraic D. important; geometric Please select the best answer from the choices provided
Answer:
THE ANSWER IS A
Step-by-step explanation:
Answer:
A.
specific; general
Step-by-step explanation: