Mr. Lewis sees a red light ahead and applies the brakes on his car. The car travels 300.5 feet before coming to a stop. For each foot the car travels during this time, its speed changes by −0.2 miles per hour.

What is the total change in the car's speed during that time?

a) -36.15
b) -60.1
c) 60.10
d) 36.15

Answer: Kites, 1.5

Step-by-step explanation: Here to help from da interim checkpoint :)

The probability that a person is color-blind given they are male is 69/133. Calculating the probability of being both male and color-blind requires additional information about the total and male population. This showcases the importance of context in probability calculations.

The question involves calculating the probability of specific conditions related to color-blindness and gender. To address both parts of the question:

Understanding probabilities in genetics, like color-blindness, often involves considering various factors including the overall population and specific subgroups within that population (such as males in this case).

Answer:

Weight of full steel bead tire=1.76 pounds

weight of lighter wheel=1.54 pounds.

Step-by-step explanation:

it is given that:

The weight of a full steel bead tire is approximately 800 grams.

lighter wheel weighs only 700 grams.

Now we are given conversion that:

There are 453.592 grams in one pound.

Hence, 1 gram=1/453.592 pounds.

Hence, weight of a full steel bead tire is:

[tex]\dfrac{800}{453.592}pounds=1.76pounds[/tex]

Also weight of lighter wheel in pounds is:

[tex]\dfrac{700}{453.592}pounds\\\\=1.54 pounds[/tex]

Answer:

Length

Step-by-step explanation:

mhm

1) The dimensions of the rectangular prism or box which I found are:

2) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.

3) Surface Area of the box is234  in²

4) Surface Area of the box if scaled up by a factor of 10 is  23,400 in²

5) Volume of the box: 180 in³

6) Volume of the box if scaled down by a factor of 1/10 is  0.18 in³

Given:

Dimensions of the box to be:

Length: 6 inches

Width: 2.5 inches

Height: 12 inches (1 foot)

1) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.

2) To calculate the surface area of the box:

Surface Area = 2*(Length*Width + Length*Height + Width*Height)

Surface Area = 2*(6*2.5 + 6*12 + 2.5*12)

Surface Area = 2*(15 + 72 + 30)

Surface Area = 2*(117)

Surface Area = 234 in²

3) If the box is scaled up by a factor of 10, the new dimensions would be:

Length: 6 inches * 10 = 60 inches

Width: 2.5 inches * 10 = 25 inches

Height: 12 inches * 10 = 120 inches

To find the new surface area:

New Surface Area = 2*(60*25 + 60*120 + 25*120)

New Surface Area = 2*(1500 + 7200 + 3000)

New Surface Area = 2*(11700)

New Surface Area = 23,400 in²

4) The volume of the box:

Volume = Length * Width * Height

Volume = 6 * 2.5 * 12

Volume = 180 in³

5) If the box is scaled down by a factor of 1/10, the new dimensions would be:

Length: 6 inches * 0.1 = 0.6 inches

Width: 2.5 inches * 0.1 = 0.25 inches

Height: 12 inches * 0.1 = 1.2 inches

To find the new volume:

New Volume = Length * Width * Height

New Volume = 0.6 * 0.25 * 1.2

New Volume = 0.18 in³

Full Question:

Although part of your question is missing, you might be referring to this full question:

Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length:

Width:

Height:


Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?

What is the surface area of the box if it is scaled up by a factor of 10?

What is the volume of the box?

What is the volume of the box if it is scaled down by a factor of 1/10?

Answer:

52 feet

Step-by-step explanation:

In an equilateral triangle, all three sides are equal in length.

If we let s represent the length of one side, the perimeter P of the triangle can be expressed as:

[tex]P = 3s[/tex]

Given that the perimeter is 156 feet, we can set up the equation:

[tex]3s = 156[/tex]

To find s, divide both sides of the equation by 3:

[tex]\dfrac{3s}{3}=\dfrac{156}{3}[/tex]

[tex]s=52[/tex]

Therefore, the length of each side of the equilateral triangle is:

[tex]\large\boxed{52 \textsf{ feet}}[/tex]

Final answer:

To solve the equation 2y+7x=4 for x=5, x=10, and x=15, substitute each value into the equation and solve for y to get y=-15.5, y=-33, and y=-50.5 respectively. It’s important to check the solutions by substituting them back into the original equation.

Explanation:

To solve the given linear equation 2y+7x=4 for different values of x (x=5, x=10, x=15), we need to substitute these values of x into the equation and solve for y. Here’s how it can be done:

The drink costs $3 for each.

The correct option is (D)

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Number of drinks= 4

Cost of Nachos = $6.

Total money spend =$18

After removing the prices from total money spend, we will get the price for 4 drinks

So, 18-6= $12

Cost for 4 drinks =12

Cost of 1 drink =12/4 = $3

Hence, each drink cost $3.

Learn more about algebra here:

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put 7.6*10^-4 into the given formula as the denominator of the fraction:

10log(1/7.6*10^-4) =  31.19

Answer: 212.54 in3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder: π r² h

Where:

Replacing with the values given:

r = 4.75/2 = 2.375 in

h = 12in

V = π r² h

V= π (2.375)² (12) = 3.14 (5.640625) 12 =212.54 in3

So, the correct option is 212.54in3

Feel free to ask for more if needed or if you did not understand something.

The cost for someone who went on 9 rides is $23.

An equation is a mathematical sentence that has two equal sides separated by an equal sign.

Given that, The cost of admission to an amusement park is $9.50 plus $1.50 per ride.

The equation can be made,

C = 9.50 + 1.50n, where n is the number of rides.

For n = 9

C = 9.50 + 1.50*9 = $23

Hence, The cost for someone who went on 9 rides is $23.

For more references on equations, click;

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To find the distance Marcos's car was towed, subtract the service fee from the total bill amount. Then divide the remaining bill amount by the additional fee charged per mile. The distance towed is 12 miles.

To find the distance Marcos's car was towed, we need to subtract the service fee from the total bill amount. The additional fee charged per mile is $1.75, so we can calculate the number of miles towed by dividing the remaining bill amount by $1.75.

Let's assume the distance towed is 'x' miles.

The total bill amount is $71, and the service fee is $50. Therefore, the additional fee charged for the distance towed is $71 - $50 = $21.

So we can write the equation:

$21 = $1.75 * x

To solve for 'x', we divide both sides of the equation by $1.75:

x = $21 / $1.75

x = 12 miles

Therefore, Marcos's car was towed for a distance of 12 miles.

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Answer:

D. Neither collinear nor coplanar

Step-by-step explanation:

We know that,

Collinear points - are the points which lie in the same straight line.

Coplanar points - are the points which lie in the same plane.

From the figure, we see that,

The points A, S, and R lie in the same line but Q does not lie in the same line.

The points A and Q lie in the same plane but others do not lie in the same plane.

Hence, we get,

These points are neither collinear nor coplanar.

Thus, option D is correct.

Part A)

y = total houses, x = number of years

Neighborhood A  y = 30*(1.20)^x

Neighborhood B : y = 45 +3x

Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses

             neighborhood B has: 45 +3(5) = 45 +15 = 60 houses

Part C)

30* 1.2^x = 45 +3x =

x = 3.3

check:

30 *1.2^3.3 = 54.75 = 55

45 + 3(3.3) = 45+9.9 = 54.9 =55

 so 3.3 years round to 3 years

Answer:

Part A)

y = total houses, x = number of years

Neighborhood A  y = 30*(1.20)^x

Neighborhood B : y = 45 +3x

Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses

            neighborhood B has: 45 +3(5) = 45 +15 = 60 houses

Part C)

30* 1.2^x = 45 +3x =

x = 3.3

check:

30 *1.2^3.3 = 54.75 = 55

45 + 3(3.3) = 45+9.9 = 54.9 =55

so 3.3 years round to 3 years

Step-by-step explanation:

Answer:

(15, 11) and (12, 10.5).

Step-by-step explanation:

Let x represents the poodle’s body length and y represents the shoulder height.

A miniature poodle must be between 10 in. and 15 in. at the shoulder.

[tex]10\leq y\leq 15[/tex]

The body length must be no more than 16 in.

[tex]0\leq x\leq 16[/tex]

The poodle’s shoulder height must be no more than 1 in. longer than its body length.

[tex]y\le1+x[/tex]

From the below figure it is clear that only two points (15, 11) and (12, 10.5) lie in the feasible region.

Therefore, ordered pairs (15, 11) and (12, 10.5) meet all the constraints for a successful poodle measurement and make sense in context of the situation.

put 7.6*10^-4 into the equation:

10log(1/7.6*10^-4)

this equals 31.19 db

Answer:

50%

Step-by-step explanation:

First, draw a normal distribution plot to use for the analysis of the data. Starting at the mean in the centre. Add one standard deviation for each interval to the right, and subtract one standard deviation for each interval to the right. See attached image. According to the empirical rule, 68% of data lies within one standard deviation of the mean, 95 % of the data is within two st. dev. and 99.7% of the data is within 3 st. dev. of the mean.

From the graph it can be deducted that half of the data will lie below 50, which makes it 50%.

An easier way of determining the answer is to use the definition of a mean. A mean is the number that,when all the data is placed in ascending order, lies right in the middle of all the data.

In a normal distribution, 50% of the values lie below the mean. Therefore, 50% of the bags will weigh less than 50 lbs.

The question involves understanding the properties of a normal distribution where the mean weight of the bags is 50 lbs, and the standard deviation is 1.5 lbs. To determine the percentage of bags weighing less than 50 lbs, we look at the standard normal distribution. Since 50 lbs is the mean, exactly 50% of the bags will weigh less than this amount. This is because, in a normal distribution, the mean divides the distribution so that half the values are below the mean and half are above it.

Answer: 363242880

Step-by-step explanation:

We know that the of to calculate the number of combinations, we use the formula :-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex], where n : the total number of items

r: the number of items being chosen at a time.

Given: The total number of scarves contained in a box= 14

The number of scarves picked = 4

The number of different combinations is given by :-

[tex]^{14}C_4=\dfrac{14!}{(14-4)4!}\\\\=\dfrac{14\times13\times12\times11\times10!}{10!4!}\\\\=\dfrac{14\times13\times12\times11}{4\times3\times2}=363242880[/tex]

Hence,  If 4 scarves are picked randomly from the box, 363242880 different combinations are possible if the order doesn't matter.

divide feet by seconds

644.8 / 31 = 20.8 feet per second

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

x=55 acute

Step-by-step explanation:

Because of the 3-6 theorum of triangles

[tex]\[ y = x + 2 \][/tex]  is the equation in slope-intercept form.

To find the equation of a line given its slope and y-intercept, we use the slope-intercept form: ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

Given that the slope ( m = 1 ) and the y-intercept ( b = 2 ), we substitute these values into the equation:

[tex]\[ y = 1x + 2 \][/tex]

[tex]\[ y = x + 2 \][/tex]

This is our equation in slope-intercept form.

Now, let's show the detailed calculation:

1. Start with the slope-intercept form: ( y = mx + b ).

2. Substitute ( m = 1 ) and ( b = 2 ) into the equation: ( y = 1x + 2 ).

3. Simplify: ( y = x + 2 ).

So, the equation of the line is \( y = x + 2 \). This means the line has a slope of 1 and passes through the point (0,2) on the y-axis.