this is not a test this is a study guide

Answer:

1. 10,12,14

2. 10,16,20

3. 3,23,61

Step-by-step explanation:

for example  2(3+r)

r would be 2 but it gave you that on the chart in the highlighted area

u replace it and it becomes 2(3+2)

distribute 2 and 3 and it becomes 6 then distribute 2 and 2 which becomes 4 then you add 6+4 which gives u 10 which is the first answer.

The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Answer:

C. 116

Step-by-step explanation:

SOLUTION:

We want to know the scale factor of the transformation from;

We do this by taking ratios of corresponding sides, they should be the same in either case;

Thus , the scale factor is;

Thus, the scale factor is 2.

Answer:

50

Step-by-step explanation:

if you want an explanation just ask.

Answer:

It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end

Answer:

146,160

Step-by-step explanation:

29*35 = 1015

1015*24*3*2

Your answer is 146,160

Answer:

146160

Step-by-step explanation:

(29×35)×(24×9)2=

(1015)×(72)2=

(73080)2=

146160

Answer:

I think you mean ‘repetition’ of digits is not allowed when you say ‘terrain' of digits is not allowed. If it is so, I will proceed further.

Three digit numbers have Hundreds place, Tens place and Units place. There are six digits, 1,2,3,4,5 and 6 are available. The Hundreds place can be filled up by any one of these 6 digits and can therefore be filled up in 6 ways. Since repetition of digits is not allowed we are left with 5 digits to fill up the Tens place. So Tens place can be filled up in 5 ways. Using the same argument we can fill up the Units digit in 4 ways. Hence we can form (6)(5)(4) = 120 numbers of three digits using the digits 1,2,3,4,5,6 without repetition.

Step-by-step explanation:

The vertex is (-4,-3)

The axis of symmetry is x=-4

and the transformations are:

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides, then the triangle is right.

longest side = 17 and 17² = 289

8² + 15² = 64 + 225 = 289

Since 17² = 8² + 15² , then triangle is right

Answer:

x = 21

Step-by-step explanation:

Using ratios:

75 : 25 = x : 7

75/25 = x/7

3 = x/7

21 = x

Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:

\(72^2+x^2=75^2\)

\(\implies x^2=75^2-72^2\)

\(\implies x=\sqrt{75^2-72^2}\)

\(\implies x=21\)

Answer:

96/18

Step-by-step explanation:

To simplify you need to turn it into an improper fraction. This means that the numerator (the number on top) is greater than the denominator (the number on the bottom). The improper fraction form of 5 6/18 is 96/18. I believe this is the answer to your question.

I hope this helps you!

A graph with three zeros, one of which is at x = 4, will resemble the one below.

A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses non-negative integer powers or only positive integer exponents of a variable. A polynomial with an exponent of 1 is, for instance, 2x+5.

Minimum and Maximum?

The extrema of a function are known as its maximum and minimum. The highest and smallest values of a function within the predetermined set of ranges are known as maxima and minima. The largest value of the function under the full range is referred to as the absolute maxima, while the least value is referred to as the absolute minima.

If the function has three zeros with one relative maximum and one relative minimum, it could be a cubic equation.

If it has a factor of x - 4, the graph crosses the x-axis at (4,0).

Your graph might look like the one below.

It has three zeros, one of which is at x = 4, and a local maximum and minimum.

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Answer:

hello answer is a

answer is x greater than or equal to -2

and x is less than 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

≠ = not equal to.

> = greater than.

< = less than.

≥ = greater than or equal to.

≤ = less than or equal to.

In this video I give step by step directions for translating words into inequalities.

​These statements use the greater than symbol

>

More than

Exceeding

Above

Greater than

These statements use the greater than or equal  symbol ≥

At least

No fewer than

minimum

top

No less than

These statements use the less than symbol

<

Fewer than

Below

Less than

These statements use the greater than or equal symbol

≤

No more than

Not above

Does not exceed

At most

Bottom

Please brainlist hope this helps <3

To describe the center of the data, we can use either the mean or the median.

To describe the variation of the data, we can use either the range or the interquartile range (IQR).

Looking at the dot plot, it seems that the data is somewhat skewed to the right, with a few high-priced outliers. In this case, the median and the IQR may be more appropriate measures of the center and variation, respectively, as they are less sensitive to outliers.

To find the median and IQR:

Arrange the data in order from smallest to largest.

Find the median, which is the middle value. If there are an even number of values, take the average of the two middle values.

Find the first quartile, which is the median of the lower half of the data.

Find the third quartile, which is the median of the upper half of the data.

Calculate the IQR as the difference between the third quartile and the first quartile.

Here are the steps applied to the dot plot:

We can see that the smallest value is about 20 and the largest value is about 120, giving a range of 100 dollars.

The median is approximately 60 dollars, as it is the middle value between the 11th and 12th data points when the data is arranged in order.

The first quartile is approximately 40 dollars, as it isthe median of the lower half of the data points, which are found below the median.

The third quartile is approximately 80 dollars, as it is the median of the upper half of the data points, which are found above the median.

The IQR can be calculated as the difference between the third quartile and the first quartile, which is approximately 40 dollars.

Therefore, the most appropriate measures to describe the center and the variation for this data set are the median and the interquartile range (IQR), respectively. The median is approximately 60 dollars, and the IQR is approximately 40 dollars.

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:

a = 1

b = -3

c = -5

Now, we can apply the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values into the formula:

x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))

x = (3 ± √(9 + 20)) / 2

x = (3 ± √29) / 2

Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2

x = (3 - √29) / 2

The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

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Kate and Miley sold 60 boxes of cookies in one hour.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b.

Given that,

Cookies sold by Kate in 45 minutes = 27 boxes.

Also,

Cookies sold by Miley in 30 minutes = 12 boxes.

To find the total boxes of cookies sold by girls in one hour,

Use ratio method,

Cookies sold by Kate in 3/4 hours = 27 boxes,

Cookies sold by Kate in 1 hour = 27 x (4/3) = 36

Cookies sold by Miley in 1/2 hours = 12 boxes,

Cookies sold by Miley in 1 hour = 12 x 2 = 24 boxes

Total cookies sold by Kate in Miley in one hour = 36 + 24 = 60

There are 60 boxes of cookies sold by the girls in one hour.

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The vertical component of the particle's location, when its horizontal component is 2, is:

y = -1.25

To find the vertical component of the particle's location when its horizontal component is 2, we need to first find the value of t when x = 2.

Given the equation:

x = 3sin(t)

Substitute x with 2:

2 = 3sin(t)

Now, isolate t by dividing both sides by 3:

sin(t) = 2/3

Take the inverse sine (arcsin) of both sides:

t = arcsin(2/3)

Now, plug the value of t back into the y equation:

y = t - 4cos(t) + 1

y = arcsin(2/3) - 4cos(arcsin(2/3)) + 1

Using a calculator to find the approximate value of y, we get:

y ≈ -1.25

Therefore, the vertical component of the particle's location when its horizontal component is 2 is:

y = -1.25

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At tα/2= -1.66, we reject H0.

What is the Null hypothesis?

The null hypothesis is a standard statistical theory that contends there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Data provided

sample size is 100, and

sample mean, 52.0 for x

The standard deviation of the sample, s= 22.0

Average population, = 60.0

Level of significance, = 0.05

Theorem testing

The alternate and the null hypothesis is

H0: u = 60

Ha: u < 60

Crucial component:

value crucial at 0.05

tα/2= -1.66

Region of rejection:

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Answer:

6x+36=11x-9

11x-6x=36+9

5x=45

X=45

now,

45+Z=180

Z=180-45

Therefore,Z=135

6x+36=11x-9

or,11x-6x=36+9

or,5x=44

:X=35

We know that,

45+Z=180

or,Z=180-45

:Z=135

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

B {-6, -3, 3, 11}

Step-by-step explanation:

Step-by-step explanation:

well, the combination of all set elements.

FYI : if some elements appear in both sets, we only use these once for the result set (this is not the case here, but it might be in other questions).

the combination of both sets is then

{b, c, d, e, g, h}

Answer:

one solution

Step-by-step explanation:

Step: Solvex+y=7for x:

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxin2x−3y=−21:

2x−3y=−21

2(−y+7)−3y=−21

−5y+14=−21(Simplify both sides of the equation)

−5y+14+−14=−21+−14(Add -14 to both sides)

−5y=−35

−5y

−5

=

−35

−5

(Divide both sides by -5)

y=7

Step: Substitute 7 for y in x=−y+7:

x=−y+7

x=−7+7

x=0(Simplify both sides of the equation)

y = 7, x = 0