what is another way to express 42+24

Answer:

348

Step-by-step explanation:

it's the first one !!! so it's A

For this case we have the following functions:

[tex]f (x) = - x ^ 2 + 3x + 5\\g (x) = x ^ 2 + 2x[/tex]

We must find (f + g) (x), by definition we have to:

[tex](f + g) (x) = f (x) + g (x)[/tex]

So:

[tex](f + g) (x) = - x ^ 2 + 3x + 5 + (x ^ 2 + 2x)\\(f + g) (x) = - x ^ 2 + 3x + 5 + x ^ 2 + 2x\\(f + g) (x) = 5x + 5[/tex]

ANswer:

See attached image

Answer:

Step-by-step explanation:

see graph below

Answer:

y = -1/4 x + 15.

Step-by-step explanation:

y = 4x - 2 has a slope of 4 ( = the coefficient of x).

The line  at right angles to it will therefore of a slope of -1/4.

Using the point-slope form of a line the line t which passes through (4, 14) is found as follows:

y - 14 = -1/4(x - 4)

y = -1/4x + 1 + 14

y = -1/4x + 15

Answer:

405.80

Step-by-step explanation:

So, we know Carlos ran 21 miles per week, for 12 weeks....

That makes 21 mi/wk x 12 weeks = 252 miles.

Then we know each km is 0.621 mile.

So, we divide 252 miles by 0.621 mile/km to get= 405.80 km

Dividing miles by miles/km gives us the unit we want (km).

There was a trap in this question, because if instead of dividing the 252 miles by 0.621 you would have multiplied it, you would have gotten another answer listed... just not the right one. :-)

Answer:

-60.75

Step-by-step explanation:

-12 / 8 = -3/2

18 / -12 = -3/2

-27 / 18 = -3/2

This is a geometric sequence with a common ratio of -3/2.

an = 8 (-3/2)^(n-1)

The sixth term is:

a₆ = 8 (-3/2)^(6-1)

a₆ = 8 (-3/2)^5

a₆ = -60.75

30 ≥ g [keyword - "no more than"

4 ≤ i [keyword - "at least"]

Answer:

The height of the water is [tex]60.5\ ft[/tex]

Step-by-step explanation:

step 1

Find the volume of the tank

The volume of the inverted right circular cone is equal to

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

we have

[tex]r=16\ ft[/tex]

[tex]h=96\ ft[/tex]

substitute

[tex]V=\frac{1}{3}\pi (16)^{2} (96)[/tex]

[tex]V=8,192\pi\ ft^{3}[/tex]

step 2

Find the 25% of the tank’s capacity

[tex]V=(0.25)*8,192\pi=2,048\pi\ ft^{3}[/tex]

step 3

Find the height, of the water in the tank  

Let

h ----> the height of the water  

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

[tex]\frac{R}{H}=\frac{r}{h}[/tex]

substitute

[tex]\frac{16}{96}=\frac{r}{h}\\ \\r= \frac{h}{6}[/tex]

where

r is the radius of the smaller cone of the figure

h is the height of the smaller cone of the figure

R is the radius of the circular base of tank

H is the height of the tank

we  have

[tex]V=2,048\pi\ ft^{3}[/tex] -----> volume of the smaller cone

substitute

[tex]2,048\pi=\frac{1}{3}\pi (\frac{h}{6})^{2}h[/tex]

Simplify

[tex]221,184=h^{3}[/tex]

[tex]h=60.5\ ft[/tex]

Use SOHCAHTOA.  You must use sine or cosine since the hypotenuse is involved, but since you are given both angles, it does not matter which one of them you choose.  We'll use sine:

sinx=O/H

sin60=O/14

√3/2=O/14

*Cross multiply*

(14√3)=2O

*Divide both sides by 2*

7√3=O

Hope this helps!!

Answer:

B

Step-by-step explanation:

Since the triangle is right we can use the sine ratio to find TI along with

the exact value of sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{TI}{TR}[/tex] = [tex]\frac{TI}{14}[/tex]

Multiply both sides by 14

TI = 14 × sin60° = 14 ×[tex]\frac{\sqrt{3} }{2}[/tex] = 7[tex]\sqrt{3}[/tex]

It will take Steve's friend 6.5 hours to catch up to Steve.

The correct answer is:

e) 6.5 hours.

To calculate this, let's first determine the time it takes for Steve's friend to catch up to him after he starts driving.

Steve's speed = 55 mph

Steve's friend's speed = 65 mph

Relative speed = Speed of Steve's friend - Speed of Steve

Relative speed = 65 mph - 55 mph = 10 mph

Now, since Steve's friend starts one hour later, Steve has already traveled for one hour at 55 mph before his friend starts.

Distance traveled by Steve in one hour = Speed × Time

Distance = 55 mph × 1 hour = 55 miles

Now, when Steve's friend starts driving, he needs to catch up this initial distance of 55 miles.

Time = Distance / Relative speed

Time = 55 miles / 10 mph = 5.5 hours

But we must remember that Steve's friend started driving one hour later than Steve. So, we add this one hour to the time calculated above to find the total time it takes for Steve's friend to catch up to Steve.

Total time = 5.5 hours + 1 hour = 6.5 hours

Therefore, it will take Steve's friend 6.5 hours to catch up to Steve.

Steve travels for one hour at 55 mph before his friend starts driving. By then, Steve's friend needs to catch up the initial distance of 55 miles at a relative speed of 10 mph. This gives us a time of 5.5 hours. However, since Steve's friend started one hour later, we add this one hour to the calculated time, resulting in a total time of 6.5 hours. Therefore, the correct answer is 6.5 hours.

Complete question:

Steve leaves the beach at 3p.m. and drives along the highway at 55 mph. One hour later, his friend leaves the same beach, and drives along the same highway at 65 mph.

How many hours will it take his friend to catch up to Steve?

a.10 hours

b.5.5 hours

c.8.5 hours

d.55 hours

e. 6.5 hours.

Winona's bowling scores have a mean of 204.6, a median and mode both of 195.

To find the mean, median, and mode of Winona's bowling scores, we follow these steps:

The bowling scores are 195, 180, 195, 212, 208, 231, 179, 246, and 195.

Mean: (195 + 180 + 195 + 212 + 208 + 231 + 179 + 246 + 195) / 9 = 1841 / 9 = 204.6

The mean score is 204.6.

To find the median, we first arrange the scores in ascending order: 179, 180, 195, 195, 195, 208, 212, 231, 246.

The median, or the middle score, is the fifth one since there are an equal number of scores on either side of it, which is 195.

The mode is the number that appears most often, which is also 195.

Therefore, Winona's mean score is 204.6, the median score is 195, and the mode is 195.

Answer:

C

Step-by-step explanation:

x(x2 + 5) – 9(x2 + 5)

= x³ + 5x - 9x² - 45

(try to expand one by one of the answer given)

Answer:

x(x2 + 5) – 9(x2 + 5)

Step-by-step explanation:

Answer:

how to find pi you have to add a lot of math and for a volume for the cone is V=πr2h 3

Step-by-step explanation:

i had did this all in my head.

Answer:

80 Muffins.

Step-by-step explanation:

There are 20 cups of flour in package

It takes [tex]\frac{1}{4}[/tex] cup to make one muffin

From a package of 20 cups of flour, you can make:

20 × 1 ÷ [tex]\frac{1}{4}[/tex] = 20 × 4 = 80 muffins

The answer is 1/9 or about 11%.

Answer:8

Step-by-step explanation: it’s right

Answer:

False.

Step-by-step explanation:

The graph that is shown is correct for the equation x= -3. The graph for y= -3 would run vertically, not horizontally.

Answer:

True

Step-by-step explanation:flip it and reverse it its esrever dna ti pilf

Answer:

A. Median

Step-by-step explanation:

Mean and median both are used to measure the central tendency of a given data while range gives us the spread of the data roughly.

Mean is even affected by a single extreme value in the data while median gives us the central value of data even when there are extreme values.

The given set of five prices has one extreme value which will affect the mean. While median is a better option to measure the central tendency of data.

So Daniel will use median to measure the central tendency to describe the prices..

Step-by-step explanation:

Answer is A. Median by jesse

Answer:

Final factor is [tex](x + 3)(x+5)(x-5)[/tex].

Step-by-step explanation:

Given expression is [tex]x^3 + 3x^2 - 25x -75[/tex]

Now we need to factor that expression [tex]x^3 + 3x^2 - 25x -75[/tex] by grouping. So let's make group of first two terms and group of last two terms.

[tex]x^3 + 3x^2 - 25x -75[/tex]

[tex]=(x^3 + 3x^2)+( - 25x -75)[/tex]

factor each group

[tex]=x^2(x + 3)-25(x +3)[/tex]

[tex]=(x + 3)(x^2-25)[/tex]

[tex]=(x + 3)(x+5)(x-5)[/tex]

Hence final factor is [tex](x + 3)(x+5)(x-5)[/tex].

I got the Same answer

Answer: 84

Step-by-step explanation:

7 x 3 x 4 = 84

It would be 84.

Hope this helps!

Pls tell me if it is inncorrect and i will revise my answer.

7•3•4=84

The percentage increase from yesterday's gas price to today's price is 1.8%.

To find the percentage increase from yesterday's price to today's price, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100.

The difference between $2.88 and $2.83 is $0.05. Dividing $0.05 by $2.83 gives us 0.0176. Multiplying by 100 gives us 1.76%. Rounding to the nearest tenth of a percent, the percentage increase is 1.8%.

Answer:

Nvm about those questions the answer is 1440 degrees

Step-by-step explanation:

Answer:

It means meal cost plus the 18% tip

Step-by-step explanation:

Answer:

[tex]0.18m[/tex] represents amount of tip Jake pays to restaurant.

Step-by-step explanation:

We have been given that Jake is eating dinner at a restaurant. The cost of his meal, including sales tax, is m dollars.

Jake left an 18% tip. The amount Jake pays at the restaurant is represented by the following expression in this expression [tex]m+0.18m[/tex].

We know that Jake's total amount will be equal to cost of his meal plus 18% of the cost of meal.

[tex]\text{Total cost of dinner}=m+(\frac{18}{100}\times m)[/tex]

[tex]\text{Total cost of dinner}=m+0.18m[/tex]

Therefore, the term [tex]0.18m[/tex] represents amount of tip Jake pays to restaurant.

Answer:

3.4594

Step-by-step explanation:

To change the base of a logarithm

• [tex]log_{b}[/tex] x = [tex]\frac{log_{c}x }{log_{c}b }[/tex]

where c represents the new base

Changing the base from 2 to 10

[tex]log_{2}[/tex] 11 = [tex]\frac{log_{10}11 }{log_{10}2 }[/tex] ≈ 3.4594

Answer:

well how many tables are there?

Step-by-step explanation:

Answer:

$9259.26

Step-by-step explanation:

The school receives $20 on $75.

We can calculate the percentage by using the values.

20/75 = 0.27%

The school recieved 0.27% of the payment.

Now we know the target amount and percentage, we can calculate the principal amount here.

Let x dennote the worth on which the school will recieve 2500 dollars. [tex]2500 = x * 0.27\\x = \frac{2500}{0.27}\\ x = 9259.26[/tex]

$9259.26 worth of ribbon has to be sold for the school to get $2500 ..

Answer:

First option

b = (8) * Tan (30)

Step-by-step explanation:

Tan (B) = Oppo. / Adj.

Tan (B) = AC/BC

Tan (30) = b / 8

b = (8) * Tan (30)

Answer

First option

b = (8) * Tan (30)

Hello There!

Before getting started, we should remember that the top surface and the bottom surface of any cylinder are congruent to each other.

First, we use the formula pi*radius^2 to find the area of a circle since there is always a circle in a cylinder.

Next, we multiply pi*radius^2 * height because a cylinder has a height too.

HOW TO SOLVE

First, we multiply 3.14 which is equal to pi by 25 because the radius is 5 and in the formula we used, it states radius squared so 3.14 multiplied by 25 and then multiplied by the height of our cylinder which equals 6.

Once we multiply, we get a product of 471.

Our final answer is 471.units^3

The diameter of the sphere is approximately 19.82 units.

To calculate the diameter of a sphere given its volume, we'll use the formula for the volume of a sphere:

[tex]\[ V = \frac{4}{3}\pi r^3 \][/tex]

Where:

- [tex]\( V \)[/tex] is the volume of the sphere,

- [tex]\( \pi \)[/tex] is a mathematical constant (approximately equal to 3.14159),

- [tex]\( r \)[/tex] is the radius of the sphere.

Since we have the volume, we rearrange the formula to solve for the radius:

[tex]\[ r = \sqrt[3]{\frac{3V}{4\pi}} \][/tex]

Substituting the given volume [tex]\( V = 3052.08 \)[/tex], and the value of[tex]\( \pi \)[/tex], we can find the radius:

[tex]\[ r = \sqrt[3]{\frac{3 \times 3052.08}{4 \times 3.14159}} \][/tex]

[tex]\[ r \approx \sqrt[3]{\frac{9156.24}{12.56636}} \][/tex]

[tex]\[ r \approx \sqrt[3]{729.128} \][/tex]

[tex]\[ r \approx 9.85 \][/tex]

Now, to find the diameter, we double the radius:

[tex]\[ \text{Diameter} = 2 \times r \][/tex]

[tex]\[ \text{Diameter} = 2 \times 9.85 \][/tex]

[tex]\[ \text{Diameter} \approx 19.82 \][/tex]

So, the diameter of the sphere is approximately 19.82 units.

To recap, we first found the radius of the sphere using the formula for volume, then we doubled the radius to find the diameter.

Complete question:

The volume of a sphere is 3052.08 units cubed what is its diameter?

notice, the x-coordinate is the same for both points, thus is a vertical line.

Check the picture below.

To find the distance between the points (-16, -9) and (-16, -18), subtract the y-coordinates, which gives us a distance of 9 units.

To find the distance between the points (-16, -9) and (-16, -18), we can use the distance formula for two points in a Cartesian coordinate system. However, because the x-coordinates of the two points are the same, this means that the line connecting these two points is vertical, and we can simply subtract the y-coordinates to find the distance.

The distance formula in a two-dimensional Cartesian coordinate system is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Since the x-coordinates are identical, the formula simplifies to:

d = |y₂ - y₁|

Applying this to the points given:

d = |-18 - (-9)|

d = |-18 + 9|

d = |-9|

Therefore, the distance is 9 units.

Answer:

B) Angle G is smaller than angle P.

Step-by-step explanation:

It's logic, the only way the hypotenuse could be shorter is if the angle opposite of it is more acute.

I know that's a mouthful and probably sounds really weird but just trust me.

Would appreciate brainliest, new to brainly! good luck!

The correct option is, (B) Angle G is smaller than angle P.

Learn more about triangle here:

brainly.com/question/1058720

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