over the weekend statton and Taylor drove to Montana to go hunting. now they're preparing to go home. Tyler needs gas for his jeep, which gets 30 miles per gallon for gas mileage. When he stops at the gas station, he already has 8 gallons of gas in his tank. he buys more gas for $1.50 per gallon

If Tyler spends $16.50 on gas, what is the total distance the boys could travel? round, if necessary, the nearest tenth.​

Mrs. Eskew will have $1,841,395 left after subtracting the vacation expense of $278,389 from her initial savings of $2,119,784.

The student is asking how much money Mrs. Eskew will have left after spending part of her savings on a vacation. To find out, we simply need to subtract the amount spent on the vacation from the total amount she had saved. Mrs. Eskew started with $2,119,784 in the bank. After spending $278,389 on her vacation, we can calculate her remaining balance as follows:

$2,119,784 - $278,389 = $1,841,395.

Therefore, Mrs. Eskew will have $1,841,395 left after her vacation.

Answer:

A. V=BH

Step-by-step explanation:

The exact volume email of the cylinder in the image is 324π in³.

This is calculated using the formula for the volume of a cylinder:

Volume = πr²h

where:

π is a mathematical constant with the approximate value of 3.14

r is the radius of the cylinder

h is the height of the cylinder

In the image, the radius of the cylinder is 3 in and the height is 6 in. Therefore, the volume of the cylinder is:

Volume = π(3 in)²(6 in)

Volume = π(9 in²)(6 in)

Volume = 54π in³

However, the image also contains the text 324π in³.

This is the correct volume of the cylinder, as it takes into account the fact that the cylinder is hollow.

Therefore, the exact volume email of the cylinder in the image is 324π in³.

For similar question on exact volume.

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Answer:

150

Step-by-step explanation:

500 is 125% of 400 (500/400) so you need to get what 125% of 120 is

120                              x   1.25                            =150

^number of children        ^125% as a decimal

To find the number of children after the same percent increase in population as the adults, calculate a 25% increase based on the adult growth from 400 to 500. Applying this to the original child population (120), there were 150 children in 2010.

The question pertains to the percent increase in population and requires finding the number of children in a town given the increase in adult population. Specifically, the child population in 2000 was 120, and the adult population increased from 400 to 500 from 2000 to 2010. Assuming that the child population increased by the same percent as the adult population, we need to calculate this percentage increase and then apply it to the number of children to find the updated child population in 2010.

To find the percentage increase in the adult population:

Since the child population increased by the same percentage, we then:

Therefore, there were 150 children in the town in 2010.

Answer:

The first alternative is correct

Step-by-step explanation:

We move all the expressions to the left hand side of the inequality then combine like terms using lcm;

[tex]\frac{3}{1}+\frac{4}{x}-\frac{x+2}{x}\geq0\\\\\frac{3x+4-(x+2)}{x}\geq0\\\frac{2x+2}{x}\geq0[/tex]

Answer:

the first one

Step-by-step explanation:

Express the left side as a single fraction

3 + [tex]\frac{4}{x}[/tex]

= [tex]\frac{3x+4}{x}[/tex], hence

[tex]\frac{3x+4}{x}[/tex] ≥ [tex]\frac{x+2}{x}[/tex]

Subtract [tex]\frac{3x+4}{x}[/tex] from both sides

0 ≥ [tex]\frac{x+2}{x}[/tex] - [tex]\frac{3x+4}{x}[/tex]

0 ≥ [tex]\frac{-2x-2}{x}[/tex]

Multiply both sides by - 1, remembering to reverse the inequality symbol as a consequence

0 ≤ [tex]\frac{2x+2}{x}[/tex], hence

[tex]\frac{2x+2}{x}[/tex] ≥ 0

The inequality -6n < -12 has all numbers greater than 2 as its solution after isolating 'n'. We achieve this by dividing both sides by -6 and flipping the inequality sign.

To solve this inequality, -6n < -12, you first need to isolate 'n' on one side of the inequality. We do this by dividing both sides of the inequality by -6. It's important to remember that when we divide or multiply an inequality by a negative number, we need to flip the direction of the inequality sign. So, the inequality would become n > 2. This means that all numbers greater than 2 are the solutions of the inequality.

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Answer:

y = 23

Step-by-step explanation:

Assuming the equation not below is y = mx + b form...

m = 4

x  = 3

b = 11

               y = 4(3) + 11

                   y = 12+ 11

                        y = 23

The required value of y = 23.

Given - m = 4
             x = 3
            b = 11

equation is the relationship between variable and represented as    is example of polynomial equation.

given equation

y = mx + b

y = 4x3 + 11
y = 12+11

y = 23

Thus, the required value of y = 23

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Answer:

An equivalent expression is 18(2 + x)

Step-by-step explanation:

To find this, look for the greatest common factor. Since both terms are divisible by 18 equally, we take 18 out of each term. Then we divide both terms by 18 and express in a parenthesis.

18(2 + x)

The answer is there

Answer:

B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.

Step-by-step explanation:

Given choices are :

A. a ray is formed by lines that do not cross each other.

B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.

C. a ray is formed by two lines that cross at one point.

D. a ray is formed when two points on a line are labeled

Now we need to determine about which sentence is true about a ray.

We know that a ray has one fixed end point and other point moves infinitely then correct choice is :

B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.

Answer:

P =  8.5 x + 3  ft

Step-by-step explanation:

To find the perimeter, we use the formula

P =2(l+w) where l is the length and w is the width

P =2 (1.25x+3 + 3x-1.5)

Combine like terms

P = 2( 4.25x +1.5)

Distribute the 2

P =  8.5 x + 3  ft

The perimeter of the rectangle in terms of x is [tex]\( {\frac{17}{2}x + 3} \)[/tex].

Given the width of the rectangle is (3x - 1.5) feet and the length is  (1.25x + 3) feet, we can substitute these expressions into the perimeter formula.

First, let's express the width and length in terms of xwith rational numbers to avoid dealing with decimals:

 Width [tex]\( w = 3x - \frac{3}{2} \)[/tex]

Length [tex]\( l = \frac{5}{4}x + 3 \)[/tex]

Now, we can calculate the perimeter:

[tex]\( P = 2(l + w) \)\\ \( P = 2 \left( \left( \frac{5}{4}x + 3 \right) + (3x - \frac{3}{2}) \right) \)\\ \( P = 2 \left( \frac{5}{4}x + 3 + 3x - \frac{3}{2} \right) \)\\ \( P = 2 \left( \frac{5}{4}x + 3x + 3 - \frac{3}{2} \right) \)\\ \( P = 2 \left( \frac{5}{4}x + \frac{12}{4}x + \frac{6}{2} - \frac{3}{2} \right) \)\\ \( P = 2 \left( \frac{17}{4}x + \frac{3}{2} \right) \)\\ \( P = 2 \times \frac{17}{4}x + 2 \times \frac{3}{2} \)\\ \( P = \frac{34}{4}x + 3 \)\\ \( P = \frac{17}{2}x + 3 \)[/tex]

perimeter =  [tex]\( {\frac{17}{2}x + 3} \)[/tex].

Answer:

102

Step-by-step explanation:

9*12=108

108+16=124

124-22=102

I hope this helps!

Answer:

The final answer is 102

Step-by-step explanation:

It is given that, 9 x 12 + 16 - 22

It is a simple mathematics problem,

First we have to multiply 9 and 12 , then the resultant is added to 16 and 22 is subtracted from the final result.

To solve 9 x 12 + 16 - 22

9 x 12 + 16 - 22 = (9 x 12 ) + 16 - 22

 = 108 + 16 - 22 = 124 - 22 = 102

Therefore the final answer is 102

Answer:

Lets say you have 40 apples and 17 "peats". You decide to give your friend, Timmy, 2/3's of the apple, because you know that he loves apples! You also give him 2/7 of your "peats". How many apples and peats, combined, does that leave you with?

Step-by-step explanation:

There really is none.

she can buy b and e because they are less than 50 dollars

Answer: It is a function.

Step-by-step explanation:

By definition,  a function is a relation in which the input value (the x value) has one and only one output value (value of y).

The first number of each ordered pair is the input value and the second number of each ordered pair is the output value.

As you can see, the inputs value of the relation given in the problem have one and only one output value. Therefore, you can conclude that the relation is  a function.

Given is - the monthly maintenance costs have an average of $3500 and a standard deviation of $257. This means that around 95% of the distributed data lies within the ranges of -257 to +257 of the given standard deviation.

Hence, range becomes :

[tex]3500-257=3243[/tex] and [tex]3500+257=3757[/tex]

Thus, the range is (3243 , 3757)

Answer:

(2996.28, 4003.72)

is 95% range.

Step-by-step explanation:

Given is -

the monthly maintenance costs have an average of $3500 and a standard deviation of $257.

If X denotes the monthly maintenance costs of the company then

X is N(3500,257)

To find out 95% of the range we have Z critical = 1.96

So lower bound of range[tex]= 3500-1.96*257[/tex] and

Upper bound [tex]= 3500+1.96*257[/tex]

Hence, range becomes :

(2996.28, 4003.72)

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

The formula of a slope:

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

We have the points P(4, 1) and Q(3, -5). Substitute:

[tex]m=\dfrac{-5-1}{3-4}=\dfrac{-6}{-1}=6[/tex]

The refore we have the equation:

[tex]y=6x+b[/tex]

Put the coordinates of the point P(4, 1) to the equation:

[tex]1=6(4)+b[/tex]

[tex]1=24+b[/tex]          subtract 24 from both sides

[tex]-23=b\to b=-23[/tex]

Finally we have the equation:

[tex]y=6x-23[/tex]

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

[tex]f(t)=-16t^{2}+64t+4[/tex]

Where,

[tex]a=-16\\b=64\\c=4[/tex]

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

[tex]f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0[/tex]

Using the quadratic equation:

[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615[/tex]

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

[tex]f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0[/tex]

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

I hope this helps :)

9, it’s further from the common area of plots

Answer:

9

Step-by-step explanation:

an outlier is an observation point that is distant from other observations

Answer:

Simplify √ 105  

A. 2√ 7  

B. 2√ 3  

C. √ 105

D. √ 42

Step-by-step explanation:

Answer:

[tex]\sqrt{105}[/tex]

Step-by-step explanation:

I'm not 100% sure why, but I looked it up on a scientific calculator.

Hope it helps, : )

.:!LightningBug!:.

The solutions for the given problems involving factorials and permutations are 8! = 40,320, 5P5 = 120, 8P4 = 1,680, 7P7 = 5,040 and the number of arrangement for 4 performers out of 9 is 3,024.

The subject here is mathematics, specifically factorials and permutations. Factorials are represented by the symbol '!'. The factorial of a number n is the product of all positive integers less than or equal to n. For example, 8! = 8*7*6*5*4*3*2*1 = 40,320.

Permutations refer to the number of ways a set of objects can be arranged. 'nPn' always equals to the factorial of n, therefore 5P5 equals to 5! = 5*4*3*2*1 = 120 and 7P7 equals to 7! = 7*6*5*4*3*2*1 = 5,040.

'nPm' equals to n factorial divided by (n-m) factorial. So, 8P4 equals to 8!/(8-4)! = (8*7*6*5)/1 = 1,680.

For the last question, the number of ways 4 performers can stand in a row out of 9, is calculated as a permutation of '9P4' (because the order of performers matters). Thus, it will be 9!/(9-4)! = 9*8*7*6 = 3,024.

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Answer:

192 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = bh ( b is the base and h the perpendicular height )

here b = 24 and h = 8, hence

A = 24 × 8 = 192 cm²

Answer:

David：£32

Dan：£40

Step-by-step explanation:

Answer:

The vertices of the pre-image are (-2, -2), (1, 1), (3, -1), and (2, -4).

Since the pre-image is reflected across the x-axis, leave each x-coordinate the same, and change the sign of each y-coordinate.

The vertices of the new image are (-2, 2), (1, -1), (3, 1), and (2, 4).

Answer: option B

Step-by-step explanation:

To solve this exercise you must apply the proccedure shown below:

- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).

[tex]b^m*b^n=b^{(m+n)}[/tex]

- Add the like terms.

Therefore, you obtain that the product is:

[tex](x^2+3x+4)(3x^2-2x+1)=3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4\\=3x^4+7x^3+7x^2-5x+4[/tex]

Answer:

B

Step-by-step explanation:

When multiplying [tex](x^2+3x+4)(3x^2-2x+1)[/tex], we can use the distributive property of multiplication over addition:

[tex](x^2+3x+4)(3x^2-2x+1)=x^2\cdot 3x^2+x^2\cdot (-2x)+x^2\cdot 1+3x\cdot 3x^2+3x\cdot (-2x)+3x\cdot 1+4\cdot 3x^2+4\cdot (-2x)+4\cdot 1=3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4.[/tex]

Now group the like terms:

[tex]3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4=3x^4+(-2x^3+9x^3)+(x^2-6x^2+12x^2)+(3x-8x)+4=3x^4+7x^3+7x^2-5x+4.[/tex]

Answer:

5q^3+25q^2

Step-by-step explanation:

Answer:

option D

Brianna

Step-by-step explanation:

Given in the question the expression wrote by Mr.Walden

[tex]\frac{p^{-5} }{q^{0} }[/tex]

To write the simplified form of this expression we will use negative rule of exponent

[tex]b^{-n}[/tex]= 1 / [tex]b^{n}[/tex]

[tex]q^{-5} = \frac{1}{q^{5} }[/tex]

so,

[tex]\frac{1}{q^{5} x q^{0} }[/tex]

[tex]\frac{1}{q^{5} p^{0} }[/tex]

Only Brianna wrote right simplification of the expression written by Mr.Walden

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}\\x^{2}=100\\x=10\ in[/tex]

YES IT IS RIGHT.YOU ARE RIGHT

Answer:

Should be A pretty sure

Step-by-step explanation:

Check the picture below.