Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all
the toy cars?

c and e because statistical questions can be answered by collecting data that can have variability.

Answer:

y= -4x - 3

Step-by-step explanation:

The sequence is an illustration of a geometric sequence

The recursive formula of the sequence is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

The sequence is given as: 40, 30, 22.5.....

So, we have:

[tex]\mathbf{a_1 = 40}[/tex]

[tex]\mathbf{a_2 = 30}[/tex]

[tex]\mathbf{a_3 = 22.5}[/tex]

Rewrite as:

[tex]\mathbf{a_1 = 40}[/tex]

[tex]\mathbf{a_2 = 40 \times 0.75}[/tex]

[tex]\mathbf{a_3 = 40 \times 0.75^2}[/tex]

Express 2 as 3 - 1

[tex]\mathbf{a_3 = 40 \times 0.75^{3-1}}[/tex]

Substitute n for 3

[tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

Hence, the recursive formula is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

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Answer:

Its definetley negitive linerar assosiation

plato lives matter

Step-by-step explanation:

The association between the two quantities is a negative linear association.

Option B is the correct answer.

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

From the scatter plot we see that,

As the year increases, the album sold decreases.

This means,

There is a negative association.

And the association is more or less a straight line.

Thus,

The association between the two quantities is a negative linear association.

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Answer:

x/y-9 is grater than or equal to 18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x

___     ≥        18

y-9

Tried my best to write it out like it would show it written out.

Answer:

201.06

Step-by-step explanation:

This is because the formula of the area of a circle is A=(pi)(r) squared

Since the radius if half of the diameter, the radius would then be 8.

8 squared, or 8 x 8 = 64.

64 times pi (64 x 3.14159)= 201.06

The problem involves finding the surface area of a sphere using its circumference. This can be achieved by first calculating the radius from the given circumference, and then substituting  this value into the formula for the surface area of a sphere.

The subject for this problem is finding the surface area of a sphere using its circumference. To solve this, you need to apply some mathematical concepts and formulas related to spheres and circles. The circumference of a circle (or the widest circle in a sphere, in this case) is given by

C=2πR, where R is the radius of the circle.

So, first, you need to find the radius of the sphere from the given circumference:

540.08 = 2πR, solve this to get R = 540.08 / (2*3.14).

According to the formula for the surface area of a sphere A=4πR²,

we can substitute the value of R that we have calculated to find the surface area of the sphere.

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Answer:

Option D.

Step-by-step explanation:

From the given figure it is clear that,

Length = 9 cm

Breadth = 8 cm

Height = 1 cm

We know that the volume of a cuboid is

[tex]V=Length\times Breadth\times Height[/tex]

[tex]V=9\times 8\times 1[/tex]

[tex]V=72[/tex]

So, the volume of give cuboid is 72 centimetre cubed.

Therefore, the correct option is D.

Answer:

d

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

-3+7-5+(-10)=

7-3-5-10=

7-18=

-11

Answer:it is under by approximately 0.6 units

Step-by-step explanation:

Answer:

its B. (it is under by approximately 0.6 units.)

Step-by-step explanation:

I got it right on 2020 Edu.

Answer:

x^2 -2x -35 = 0

Step-by-step explanation:

Lets's solve backwards

x = -5

Add 5 to both sides

x + 5 = 5 - 5

x + 5  = 0

and

x = 7

Subtract 7 from both sides

x - 7 = 7 - 7

x - 7 = 0

Finding the product of both linear functions

(x + 5)(x - 7) =0

x^2 -7x + 5x -35 =0

x^2 -2x -35 = 0

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

                    Volume of aluminium available is 1000 cubic centimeters

                    Shape of trophy is right square pyramid

                    Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

                     Formula for volume of right square pyramid,

                                               [tex]Volume, V = a^{2}\frac{h}{3}[/tex].....................................(1)

                     Where, a - Base edge value

                                  h - Height of pyramid

                      From given,

                                        a = 10 cm

                                        h = 13 cm

                      Equation (1) becomes,

                                           [tex]= 10^{2}(\frac{13}{3} )[/tex]

                                           [tex]= (100)(4.333)[/tex]

                                           [tex]= 433.33 cm^{3}[/tex]

             Volume of trophy = 433.33 cubic centimeters

             Compare with the volume of available aluminium and volume of right square pyramid,                          

            [tex]Volume of available aluminium > Volume of right square pyramid[/tex]

                                               [tex]1000 cm^{3} > 433.33 cm^{3}[/tex]

            So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

          The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Answer:

Yes, the volume of the trophy is 400 cm3

Step-by-step explanation:

I think by the having all 2 of angles are equal

and corresponding sides are in same ratio

and by having all corresponding sides in same ratio

Answer:

I think it is option a, b, and c.

Step-by-step explanation:

Answer:

The answer is Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?

Step-by-step explanation:

Answer:

b,3 hours

Step-by-step explanation:

because you have 32 times 2 is 64 in 2 hours so that is not is so the times 8 is 256 in 8 hours so that is not it then times 16 is 512 so 512 in 16 hours that's not it so then times 3 it is 96 cars in 3 hours

Answer:

(x + 3) (x + 3)

Step-by-step explanation:

This is because if you solve that, it would be x² + 3x + 3x + 9

Therefore it would equal x² + 6x + 9

Answer:

I need help on this one to its hard

Answer:

The volume of the cone with the same radius and height as the given cylinder is approximately [tex]\(459.325 \, \text{cm}^3\)[/tex].

Explanation:

To find the volume of a cone with the same radius and height as the given cylinder, we'll use the formula for the volume of a cone:

[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]

Given that the cylinder has a volume of 1884 cm³, and the radius [tex](\(r\))[/tex] and height [tex](\(h\))[/tex] of the cone are the same as the cylinder, we can first find the radius and height of the cylinder.

The volume of the cylinder is given by:

[tex]\[ V_{\text{cylinder}} = \pi r^2 h \][/tex]

Given [tex]\(V_{\text{cylinder}} = 1884 \, \text{cm}^3\)[/tex], we can solve for [tex]\(r^2 h\)[/tex], the product of the square of the radius and the height:

[tex]\[ r^2 h = \frac{1884}{\pi} \][/tex]

Now, we need to find the radius and height of the cylinder. Since we're told that the cone has the same radius and height as the cylinder, we can use these values for the cone as well.

[tex]\[ r^2 h = \frac{1884}{\pi} \][/tex]

Given that [tex]\( r = h \)[/tex], we can substitute [tex]\(r\)[/tex] for [tex]\(h\)[/tex] to get:

[tex]\[ r^3 = \frac{1884}{\pi} \][/tex]

[tex]\[ r = \sqrt[3]{\frac{1884}{\pi}} \][/tex]

Now that we have the value of [tex]\(r\)[/tex], we can find the volume of the cone using the formula for the volume of a cone:

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \sqrt[3]{\frac{1884}{\pi}} \right)^2 \left( \sqrt[3]{\frac{1884}{\pi}} \right) \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884}{\pi} \right)^{2/3} \left( \frac{1884}{\pi} \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884^2 \cdot 1884}{\pi^2} \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884^3}{\pi^2} \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{671161856}{9.869604401} \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} \approx \frac{1}{3} \pi \left( 67968372.82 \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} \approx \frac{1}{3} \pi \cdot 438.327 \][/tex]

[tex]\[ V_{\text{cone}} \approx 459.325 \, \text{cm}^3 \][/tex]

Answer:

21

Step-by-step explanation:

Answer: x = -7

Step-by-step explanation:

2.5x+10=x-0.5

Collect like terms

2.5x-x= -0.5 -10

1.5x= -10.5

X= -10.5/1.5

X= -7

Answer: -7

Step-by-step explanation:

Answer:

3.09

Step-by-step explanation:

three and 9 hundredths

and meaning a decimal

hundredths is the second place after the decimal

3.09

Three and nine hundredths as a decimal form is equals to 3.09.

" Decimal form is representation of number as a combination of whole number and it fractional part."

According to the question,

Hundredths is the second digit to the right of the decimal.

Three and nine hundredths = 3.09

Hence, three and nine hundredths as a decimal form is equals to 3.09.

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The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

Step-by-step explanation:

The given is,

                       A person invests 9000 dollars in a bank      

                      The bank pays 4.25% interest compounded daily

                      Future amount $19600

Step:1

                     Formula to calculate the future investment with compounded daily,

                                                  [tex]A = P (1+\frac{r}{n})^{nt}[/tex]................................(1)

                   Where, A - Future amount

                                P - Initial investment

                                r - Interested rate

                                n - No.of times for a year

                                t - No.of years

Step:2

              From the given values,

                      A = $ 19600

                      P = $ 9000

                       r = 4.25 %

                      n = 365  ( ∵ Compounded daily )

           Equation (1) becomes,

                                        [tex]19600 = 9000(1+\frac{0.0425}{365})^{365t}[/tex]

                                         [tex]\frac{19600}{9000}= (1+0.000116438)^{365t}[/tex]

                                   [tex]2.177778=(1.000116438)^{365t}[/tex]

            ( Take log on both sides )

                               [tex]log 2.17778= log (1.000116438)^{365t}[/tex]

                               [tex]log 2.17778=( 365t)log (1.000116438)[/tex]

           Substitute the log values,

                                  [tex]0.338014 = (365t)(0.000050565)[/tex]

                                [tex]\frac{0.338014}{0.000050565}= 365t[/tex]

                                [tex]6684.6842 = 365t[/tex]

                                              [tex]t = \frac{6684.6842}{365}[/tex]

                                                 = 18.314

                                                 ≅ 18 years

                          No.of years, t = 18 years

Result:

              The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

It will take approximately 18.4years for the person to make 19600

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex] where:

A is the amount

P is the amount invested

n is the compounding amount

t is the time taken

Given the following parameters

A =  19600

P = 9000

r = 4.25% = 0.0425

n = 365 (compounded daily)

Substitute the given parameters into the formula to get the time "t"

[tex]19600 = 9000(1+\frac{0.0425}{365} )^{365t}\\2.1778 = (1+0.0001164)^{365t}\\2.1778 = (1.0001164)^{365t}\\log2.1778 = 365tlog(1.0001164)\\0.3380 = 0.0184t\\t = \frac{0.3380}{0.0184} \\t \approx 18yrs[/tex]

Hence it will take approximately 18.4years for the person to make 19600

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To represent the total cost of admission for the number of visits in a season, an arithmetic sequence can be created with a common difference of $45. The cost of admission for the first visit is $45, and the sequence can be extended to five terms. To determine when a season pass becomes the better deal, compare the total cost of admission with the cost of a season pass. A person would have to visit the park at least 3 times for a season pass to be the better deal.

a. To represent the total cost of admission for the number of visits in a season, we can create an arithmetic sequence. The common difference will be the cost of admission each time a person visits the park, which is $45. The first term can be the cost of admission for the first visit, which is also $45. So, the arithmetic sequence will be:

b. To find out how many times a person has to visit the park for a season pass to be the better deal, we need to compare the total cost of admission for the number of visits with the cost of a season pass. In this case, the season pass costs $112 per person, so we need to find the number of visits that would equal or exceed the cost of a season pass. From the arithmetic sequence we created in part a, we can see that a person would have to visit the park at least 3 times for the total cost of admission to equal or exceed the cost of a season pass. Therefore, a person would have to visit the park at least 3 times for a season pass to be the better deal.

Answer:

it's a

Step-by-step explanation:

Without more information on triangle QRS, the potential true equations could be 'sin(100 degrees) / 3.5 = sin(S) / 2.4' and 'sin(100 degrees) / 2.4 = sin(Q) / 3.5' based on the law of sines.

The question is asking which equation formed by the law of sines is true for the triangle QRS. As it is not completely clear from the given data, let's apply the law of sines in a general form for triangle QRS: sin(Q)/QR = sin(R)/RS = sin(S)/SQ. Comparing this to the provided options we could suggest that the correct equation could be: sin(100 degrees) / 3.5 =  sin(S) / 2.4 and sin(100 degrees) / 2.4 = sin(Q) / 3.5. These are possibilities if we assume that the angle at Q is 100 degrees and the lengths of the sides opposite these angles are 3.5 and 2.4 respectively. However, without more specific information about triangle QRS, these conclusions are speculative.

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Answer:

[-5,-4) U (-4,-2)

Step-by-step explanation:

The brackets means including, the parenthesis does not include the number it is next too. The U in between the two points stands for union.

Answer:

Measure of arc AE = 58°

Step-by-step explanation:

As shown: ABCD is a quadrilateral, ∠C = 119°

So, ∠C + ∠A = 180°

∴ ∠A = 180° - ∠C = 180° - 119° = 61°

ΔAGB is a right triangle at G

So, ∠A + ∠B = 90°

∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°

Arc AE opposite to the angle ∠ABG

So, measure of arc AE = 2∠ABG = 2 * 29° = 58°

The only transformation that does not preserve congruence is a translation 7 units down

Transformation is the process of changing the position of an object on an xy-plane.

A reflection preserve the congruence since it only create a mirror image of the figure.

Dilation also preserve congruence since it only enlarges the given figure. The only transformation that does not preserve congruence is a translation 7 units down

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Answer:

-16 - 6 would be -22

Step-by-step explanation: The reason for this is is simple subtraction except in this case you wanna think of addition. -16 - 6 can also be thought of 16+6. In that case you get 22 and then you just add the negative sign.

Ray AC and Ray CA. Yes, they form an angle of 180 degrees because they are both on a straight line.

In Mathematics and Euclidean geometry, a ray is composed of two points that are joined by a straight line and it extends infinitely in a single direction.

A line is a mark with length and direction, that is created by a point that is moving across a surface and extending infinitely.

By critically observing the figure shown in the image attached below, we can logically deduce that two rays with the same endpoint include:

Ray AC

Ray CA.

Complete Question:

Higher Order thinking Name two rays with the same endpoint in the figure below. Do they form an angle? Explain.