Which numbers are prime numbers?
Check all that are true.

19

29

17

23

25

none of the above

Answer: Since 3−5+2=0, then 2

is the additive inverse of 3−5 is 2

 Since 5−3−2=0, then −2is the additive inverse of 5−3. is -2

Step-by-step explanation: additive inverse

The additive inverse of any number

x

is the number that gives zero when added to

x

. Example: the additive inverse of

5 is −5.

Answer:

The value of x is 120°

Step-by-step explanation:

To solve for x, you need to introduce a third line that is parallel to the two parallel lines.

This line should divide the angle at x into two as shown in the attachment.

By the alternate interior angle property, m=70°

and

n=50°

This implies that, x=50+70=120°

Answer: Second option.

Step-by-step explanation:

Below are some transformations for a function  f(x) :

1. If [tex]f(x)+k[/tex], the function is shifted "k" units up.

2. If [tex]f(x)-k[/tex], the function is shifted "k" units down.

3. If [tex]f(x-k)[/tex], the function is shifted "k" units right.

4. If [tex]f(x+k)[/tex], the function is shifted "k" units left.

The Cube root parent function is:

[tex]f(x)=\sqrt[3]{x}[/tex]

By definition, the graph of this function passes through the origin, as you can observe in  the picture attached.

In this case, you need to analize the graph given in the exercise. You can see that the the graph of the function h(x) is like the parent function f(x), but shifted 2 units left.

Therefore, based on the transformations explained above, you can determine that the equation of the function h(x) is the following:

[tex]h(x)=f(x+2)\\\\h(x)=\sqrt[3]{x+2}[/tex]

Answer:

Try the suggested solution, shown on the picture attached

Step-by-step explanation:

Note, 'm(MNO)' means m(∠MNO), and for issues 2, 4 ,5 - the described angles are angles inside the declared triangle.

Answer:

67º

Step-by-step explanation:

Answer:

if it as more

Step-by-step explanation:

no need to thank me just add me on snap wgilpenn

Step-by-step explanation:

Hdhcnkcube hxjdje8277ru288xhei8chne

Diicinrhcurnje8f77 8eun3if7 hh8

The answer is.

The Lamp post is 800cm

x = height of lamp post

160/90 = x/450

450 is the length from the base of the lamp post to the end of the shadow (360+90)

cross multiple

90x = 72000

x =800cm

Have a great day!

The lamp post is 800 cm high

From the diagram in the attachment below,

The height of the girl is /AG/ = 160cm

The length of her shadow is /SG/ = 90cm

The height of the lamp post is /LP/ = /LM/ + /MP/ = x + 160cm

To determine the height of the lamp post, we will calculate the value of x

Consider ΔASG

Determine <ASG = θ

From

[tex]tan\theta = \frac{opposite}{adjacent}[/tex]

Opposite = /AG/ = 160 cm

Adjacent = /SG/ = 90 cm

∴ [tex]tan\theta = \frac{160}{90}[/tex]

Also, Consider ΔLAM

[tex]tan\theta = \frac{/LM/}{/AM/}[/tex]

NOTE: <LAM = θ (Corresponding angles) since line AM is parallel to line SP

∴[tex]\frac{160}{90} = \frac{/LM/}{/AM/}[/tex]

But, /LM/ = x and /AM/ = 360 cm

∴[tex]\frac{160}{90} = \frac{x}{360}[/tex]

[tex]90x = 360 \times 160[/tex]

[tex]x = \frac{360 \times 160}{90}[/tex]

[tex]x = 4 \times 160 \\[/tex]

[tex]x = 640 cm[/tex]

x = 640 cm

Recall that, the height of the lamp post is /LP/ = /LM/ + /MP/ = x + 160cm

∴ The height of the lamp post is 640 cm + 160cm

The height of the lamp post is 800 cm

Hence, the lamp post is 800 cm high

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Answer:7 bags

Step-by-step explanation:

Divide 60 by 8 because she has a total of $60 and each bag costs $8. The answer would actually be 7.5 bags but since you can’t buy half a bag your answer would be 7 bags.

Answer:

t = 40

Step-by-step explanation:

Start by breaking the equation down to a simpler form.  To do this you would need to divide 28 by 7.

28 / 7 = x

x = 4

Now we can create a new equation.

4x = t

T would represent the total number of students in the band.  X would be the any number from 1 to 10.  This is because 10 is the highest faction to make the fraction a whole.  Since we a looking for the total we would put ten in place for x.

4 x 10 = t

t = 40

There you go.

Hope this helped.

Answer:

Option B: [tex]$ \textbf{y} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{-1}}{\textbf{2}} \textbf{x}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \frac{\textbf{5}}{\textbf{2}} $[/tex]

Step-by-step explanation:

When the focus (h, k) of a parabola and the equation of the directrix y = c are given, the equation of the parabola is given by:

                     [tex]$ \textbf{(x - h)}^{\textbf{2}} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{k}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{c}^{\textbf{2}} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{2(k - c)y}} $[/tex]

Here, we are given the focus: (h, k) = (0, -2)

Directrix: y = c = -3.

We substitute in the formula to get the equation of the parabola.

[tex]$ (x - 0)^2 + (-2)^2 - (-3)^2 = 2(-2 - (-3))y $[/tex]

[tex]$ \implies x^2 + 4 - 9 = 2(- 2 + 3)y $[/tex]

[tex]$ \implies x^2 - 5 = 2(1) y$[/tex]

[tex]$ \implies 2y = x^2 - 5 $[/tex]

Dividing by 2, throughout we get:

[tex]$ \textbf{y} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{-1}}{\textbf{2}} \textbf{x}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \frac{\textbf{5}}{\textbf{2}} $[/tex] which is the required answer.

Answer:

The measure of  XY is 79.8 cm.

Step-by-step explanation:

An image of the question is attached here.

Given:

Measure of XT = 39.9

VW is the bisector.

So T is the midpoint of XY .

Note: Bisector divides the line in two equal parts.

According to the question:

⇒ [tex]XT = TY[/tex]           ...as T is the midpoint.

⇒ [tex]XY=XT +TY[/tex] ...Segment addition Postulate

⇒ [tex]XY=XT+XT[/tex]

⇒ [tex]XY=2(XT)[/tex]

⇒ [tex]XY=2(39.9)[/tex]

⇒ [tex]XY=79.8[/tex] cm

The measure of XY in the skateboard design is 79.8 centimeter.

Answer:

[tex]\large \boxed{\text{B) 374 mi/day}}[/tex]  

Step-by-step explanation:

The average rate of change from one point to another is the slope of the straight line joining the two points.

[tex]\text{slope} = \dfrac{ y_{2} - y_{1}}{ x_{2} - x_{1}}[/tex]

From Day 1 to Day 3, your points are (1, 383) and (3, 1132).  

[tex]\text{Slope} = \dfrac{1132 - 383 }{3 - 1} = \dfrac{749 }{2} = \textbf{374 mi/day}\\\\\text{The average rate of change from Day 1 to Day 3 was $\large \boxed{\textbf{374 mi/day}}$}[/tex]

The graph below shows the rate of change from Day 1 to Day 3 as a black line. It appears from the graph that Adam and his dad kept the same rate of change for the whole trip.

Evaluating 3^3/2 gives us 5.196152423, so we can round this to 5.

Answer:

4 hours

Step-by-step explanation:

I am not sure, what I did was, if Calvin and Alvin both waxed half the car, their original time would split in half, then I added those values together, which is also the average.

y=mx+b is a pretty safe form to follow

C=3

A=5

if you are doing variables

I tried my best.

Answer:

The number of jumps that the game piece took, was 40.

Step-by-step explanation:

Every jump a game piece makes measures [tex]\frac{8}{9} = 0.889[/tex].

Now, the piece starts at point A = 7 and jumps to the right.

So, the number of jumps required by the piece to jump over B = 24 will be

[tex]\frac{24 - 7}{0.889} = 19.122[/tex] jumps ≈ 20 jumps {As the piece crosses the point B}

Now, as soon as the piece jumps over B = 24, it switches direction and jumps to the left. And the piece then stops at point A.

Therefore, the number of jumps that the game piece took, was (20 × 2) = 40. (Answer)

Final answer:

Calculating the jumps based on the jump size of 8 / 9 units, the piece makes 20 jumps to go from point A past point B, and then 23 jumps to return to point A, for a total of 43 jumps.

Explanation:

To solve the question, we must calculate the total number of jumps the game piece takes from the starting point A at 7, over point B at 24, and back to A. Each jump measures 8 / 9 units. To calculate the number of jumps to reach just past point B (24 units), we can set up a division problem to find the number of jumps it would take to first reach or pass 24 starting from 7. The formula for this is (B - A) / jump size.

So, the calculation for jumps to point B is: (24 - 7) / 8 / 9 = 17 × 9 / 8 = 153 / 8 = 19.125. Since the game piece cannot make a partial jump, we must round up to 20 jumps to reach beyond 24 units.

After the piece switches direction, we perform a similar calculation to find how many jumps it takes to go back to point A (7 units).

Here, since the piece is already beyond 24, it only needs to jump back to the next integer value before 7 which is 6.

Now, the game piece is at (20 × 8 / 9) + 7 = approximately 24.222 + 7 = approximately 31.222 units along the path.

To calculate the jumps back to 6, we have (31.222 - 6) / 8 / 9 which is approximately 22.556 jumps, and rounding up gives us 23.

Therefore, the total number of jumps made is the sum of the jumps to point B and back to point A,

which is 20 + 23 = 43 jumps.

Answer:

it's 408,471

Step-by-step explanation:

[tex]400000 \\ + 8000 \\ \: + 400 \\ \: \: + 70 \\ \: \: \: + 1 \\ = 408471[/tex]

Answer:

y=-2/7x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-1))/(21-7)

m=(-5+1)/14

m=-4/14

simplify

m=-2/7

y-y1=m(x-x1)

y-(-1)=-2/7(x-7)

y+1=-2/7(x-7)

y=-2/7x+2-1

y=-2/7x+1

The equation of the line in slope-intercept form is: [tex]\[ \boxed{y = -\frac{2}{7}x + 1} \][/tex]

To find the equation of the line in slope-intercept form  y = mx + b that passes through the points 7, -1 and 21, -5 we need to follow these steps:

1. Find the slope  m  of the line.

2. Use the slope and one of the points to find the y-intercept b

3. Write the equation in the form y = mx + b

Step 1: Find the slope m

The formula for the slope between two points [tex]\((x_1, y_1)\) and \((x_2, y_2)\) is:[/tex]

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

For the points 7, -1 and 21, -5

[tex]\[ x_1 = 7, y_1 = -1 \][/tex]

[tex]\[ x_2 = 21, y_2 = -5 \][/tex]

Substitute these values into the slope formula:

[tex]\[ m = \frac{-5 - (-1)}{21 - 7} = \frac{-5 + 1}{21 - 7} = \frac{-4}{14} = -\frac{2}{7} \][/tex]

Step 2: Find the y-intercept b

Use the slope[tex]\( m = -\frac{2}{7} \)[/tex] and one of the points

[tex]\[ -1 = -\frac{2}{7}(7) + b \][/tex]

b = 1

Step 3: Write the equation

Now that we have the slope [tex]\( m = -\frac{2}{7} \)[/tex] and the y-intercept  b = 1 we can write the equation in slope-intercept form:

[tex]\[ y = -\frac{2}{7}x + 1 \][/tex]

Thus, the equation of the line in slope-intercept form is:

[tex]\[ \boxed{y = -\frac{2}{7}x + 1} \][/tex]

Answer:

I would say it is c but im not sure.

Step-by-step explanation:

Well you use distributive property to solve this to get a simplified answer.

[tex]b. \: 5d - 3 \\ \\ 1. \: 2d + 6 + 3(d - 3) \\ 2. \: 2d + 6 + 3d - 9 \\ 3. \: (2d + 3d) + (6 - 9) \\ 4. \: 5d - 3[/tex]

Answer:

"B"

Step-by-step explanation:

"the median wind speed for country B is greater than the median wind speed for county A"

got it right on the quiz, and good luck ;)

The median wind speed for country B is greater than the median wind speed for county A.

The answer is option B.

A median is a number in the middle of a list of numbers that are sorted, ascended, or descended and can define a set of data. The median is sometimes used in contrast to the definition where there are outsiders in a sequence that may distort the value ratio.

The importance of median value is that it provides an idea about the distribution of data. If the definition and median of the data set are the same, then the data is evenly distributed from the smallest to the highest values.

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Answer:

A= 20959.52 cm

Step-by-step explanation:

Formula: A= π x r^2

A=  π x 81.68^2

A= 20959.52

Answer:

B. Square root of 25

Step-by-step explanation:

It is a whole number.

Thus, it is not an irrational number.

The square root of 25 is equal to 5

Therefore

An irrational number is a number that cannot be written as a ratio of two integers. It is a non-terminating and non-repeating decimal.

Answer:

She earned $8.5 per hour.

Step-by-step explanation:

110.5/13=8.5

The given dilation is an isometry dilation.

Step-by-step explanation:

Step 1; First, we need to compare the dimensions of the two figures. We check to see if the side lengths are the same. If the parameters are the same, the dilation could be an enlargement or a reduction. Whereas if the parameters are the same, it could be an isometric dilation or just a reflection.

Step 2; The first shape has a side length of approximately 2.5 units. We compare this to the same side length as the second shape. The second shape has the same side length.

The first shapes side length of the  / same side length of the second shape = 2.5 / 2.5 = 1,

So the scale factor is 1. As the parameters do not change, it could either be a reflection or an isometric dilation.

Step 3; The base side in shape 1 is BC whereas the same base side in shape 2 is [tex]A^{1}[/tex][tex]B^{1}[/tex]. So shape ABCDE has rotated to form the shape  the dilation is isometric and not a reflection with a scale factor of 1.

Answer:

1: Isometry

Step-by-step explanation:

As both the shapes are having equal area hence the scale factor remains 1.

As scale factor remains 1this is neither enlargement or reduction.

It is the isometry that the distance between two pints remains the same.

The square root of 97 is 8.48857802, but you can round to 8.49 or 8.5 if you so desire.

Answer:

C

Step-by-step explanation:

product of 7 and 10 is 70

product of 10 and 12 is 120

a = 12

b =45

c =120

d =49

To model the scenario, we can use the exponential function A = A0 · (1/2)^(t/h), where A is the amount remaining, A0 is the initial amount, t is the time, and h is the half-life. In this case, the initial amount is 100 grams and the half-life is 6 hours. After substituting t = 12 into the function, we find that 25 grams of the isotope remain after 12 hours.

To model the scenario, we can write an exponential function using the formula:

A = A0 · (1/2)t/h

Where:

For this scenario, the initial amount is 100 grams and the half-life is 6 hours. So, the exponential function would be:

A = 100 · (1/2)t/6

To find out how much of the isotope remains after 12 hours, we can substitute t = 12 into the function and solve for A:

A = 100 · (1/2)12/6 = 100 · (1/2)2 = 100 · (1/4) = 25

Therefore, after 12 hours, 25 grams of the isotope would remain.

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Answer:

(This is in my own words)

ALL terms of the numerator must be subtracted out, not just the first term. -2 should be subtracted out to get a numerator of x+1-x+2. Thus, the difference of the numerator should be 3, and not –1. This is when simplified correctly.

On solving the expression correctly, we get -

3/(x - 2)(x + 1)

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the following equation -

1/(x - 2) - 1/(x + 1)

We have -

1/(x - 2) - 1/(x + 1)

[(x + 1) - (x - 2)]/(x - 2)(x + 1)

3/(x - 2)(x + 1)

Therefore, on solving the expression correctly, we get -

3/(x - 2)(x + 1)

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68 is the 22nd term of the following sequence.

Step-by-step explanation:

the twenty second (22) term of the sequence 5, 8, 11, ...... is: D. 68.

Given the following data:

To find the twenty second (22) term of the sequence:

Mathematically, the [tex]n^{th}[/tex] term of a sequence is calculated by using the following formula;

[tex]a_n = a + (n - 1)d[/tex]

Where:

First of all, we would determine the common difference.

[tex]d = 2^{nd} \; term - 1^{st}\;term\\\\d = 8 - 5 \\\\d = 3[/tex]

Substituting the given parameters into the formula, we have;

[tex]a_{22} = 5 + (22 - 1)3\\\\a_{22} = 5 + (21)3\\\\a_{22} = 5 + 63\\\\a_{22} = 68[/tex]

Therefore, the twenty second (22) term of the sequence is 68.

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Answer:

a = 2 , r = 5

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Given the 4 th term is 250, then

ar³ = 250 → (1)

Given the 7 th term is 31250, then

a[tex]r^{6}[/tex] = 31250 → (2)

Dividing the 2 equations gives

[tex]\frac{ar^6}{ar^3}[/tex] = [tex]\frac{31250}{250}[/tex], that is

r³ = 125 ← take the cube root of both sides

r = [tex]\sqrt[3]{125}[/tex] = 5

Substitute r = 5 into (1)

a × 5³ = 250, that is

125a = 250 ( divide both sides by 125 )

a = 2

Answer: a = 2, and r = 5

Step-by-step explanation: What we have been given here is a geometric progression. Every term in the sequence of numbers is derived by multiplying the previous term by a particular number called the common ratio, otherwise known as r. Hence if the first term is 1 for instance, the second term would be derived as 1 x r (which equals 1r), the third term would be derived as 1r x r (which equals 1r squared) and so on.

Having this in mind , we can calculate the Nth term of a geometric progression as

Nth term = a x r{to the power of n - 1}

So if we want to calculate the 4th term for instance, that would be

4th = a x r{to the power of 4 - 1} OR

4th = a x r{to the power of 3}

Similarly to calculate the 7th term would be

7th = a x r{to the power of 7 - 1}

7th = a x r{to the power of 6}

Now that we have been given the 4th (250) and 7th (31250) terms, what we now have is

a x r{to the power of 3} = 250 AND

a x r{to the power of 6} = 31250

a x r{to the power of 6}/a x r{to the power of 3} = 31250/250

After reducing both sides to their simplest form, what we now have is

r{to the power of 3} = 125

If we add the cube root sign to both sides of the equation we would have

r = 5

Having computed r as 5, we can now go back to calculate a as follows;

If a x r{to the power of 3} = 250, then

a x 125 = 250

Divide both sides of the equation by 125

a = 2

Therefore, a = 2 and r = 5