Estimate the value of each each expression to the nearest integer

Answer:

[tex] \boxed{ \sf{ \bold{ \huge{ \boxed{71}}}}}[/tex]

Step-by-step explanation:

Using PEMDAS rule :

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Let's solve:

[tex] \sf{8 + 7 \times 9}[/tex]

Multiply the numbers

⇒[tex] \sf{8 + 63}[/tex]

Add the numbers

⇒[tex] \sf{71}[/tex]

Hope I helped!

Best regards!

Answer:

Step-by-step explanation:

Circumference of a circle = πd

where

d is the diameter of the circle

From the question

Circumference = 56.52 inches

π = 3.14

To find the diameter substitute the value of the circumstance into the above formula and solve for the diameter

That's

56.52 = πd

[tex]d = \frac{56.52}{\pi} \\ d = \frac{56.52}{3.14} [/tex]

We have the final answer as

Hope this helps you

The diameter of Dion's bicycle tire is 18 inches.

The length of the perimeter of the circle is known as the Circumference. Mathematically, [tex]C=2\pi r[/tex]

The circumference of the bicycle tire is 56.52 inches.

So,

[tex]2\pi r=56.52\\r=\dfrac{56.52}{2\times 3.14}\\r=9 inches[/tex]

So, the diameter of the bicycle tire is [tex]9\times 2= 18[/tex] inches.

Thus, the diameter of the bicycle tire is 18 inches.

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Answer:

[tex]\frac{3}{4}[/tex], [tex]\frac{30}{40}[/tex], [tex]\frac{45}{60}[/tex], [tex]\frac{60}{80}[/tex]....e.t.c are all equivalent fractions

Step-by-step explanation:

For the answer you need to know bout equivalent fractions

TO find equivalent fractions you have to multiply the numerator and denominator by the same amount

E.x.[tex]\frac{15}{20}=\frac{(15)(2)}{(20)(2)} =\frac{30}{40}[/tex]

Therefore [tex]\frac{30}{40}[/tex] is an equivalent fraction

Answer:

5 + 2 x 9

Step 1 = 7 x 9

Step 2 = 63

Step-by-step explanation:

= 5 + 2 x 9

= 5 + ( 2 x 9 )

= 5 + 18

= 23

Step 2 = 7 x 9

= 63

Step 3 = 63

C. jin did not make a mistake

Sorry i'm wrong :)

Answer:

That would equal 36

Step-by-step explanation:

i added them up

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of [tex]m[/tex] miles:

[tex]f(x) = 0.45m +5[/tex]

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

[tex]f(x) = 0.45m +5[/tex] can also be written as:

[tex]y = 0.45m +5[/tex]

It is nothing but slope intercept form, comparing with [tex]Y = M X+ C[/tex]

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

[tex]0.45m + 5+5 = 0.45m+10[/tex]

Now, multiply with 1.25

Resulting function becomes:

[tex]f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5[/tex]

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

[tex]f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }[/tex]

Answer:

24 ft.

Step-by-step explanation:

10x2=20. 20+4=24

Answer:

24 FT.

Step-by-step explanation:

10x2=20. 20+4=24

Answer:

It would be 81

Step-by-step explanation:

[tex]9^{2}[/tex] is the same as 9 times 9. And 9 times 9 is 81.

Answer:

2⁹ = 512

Step-by-step explanation:

2⁹ = 2*2*2*2*2*2*2*2*2 = 512

Answer:

2/15

Step-by-step explanation:

given that the triple integral = ∫∫∫ 8x^2 dv

and T is the solid tetrahedron with vertices :  (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1)

hence the equation of the plane: x + y + z = 1

T [ (X,Y,Z) : 0≤x≤1, 0≤y≤1-x, 0≤z≤1-x-y ]

attached below is the detailed solution ( we multiply our answer after evaluation with the coefficient of  8 as attached to the initial expresssion)

By evaluating the triple integral where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) the value calculated is 2/15.

Given :

The triple integral ∭ 8x^2 dV, where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1).

The following calculation can be used to evaluate the triple integral:

[tex]\rm I = \int\int\int 8x^2dV[/tex]

T[(x,y,z) : [tex]0 \leq x \leq 1[/tex] ; [tex]0 \leq y \leq 1-x[/tex] ; [tex]0 \leq z \leq 1-x-y[/tex] ]

Now put the limits in the above integral.

[tex]\rm I = \int\limits^1_0\int\limits^{1-x}_0\int\limits^{1-x-y}_0 {8x^2} \, dz \, dy \, dx[/tex]

[tex]\rm I = \int\limits^1_0\int\limits^{1-x}_0 {8x^2} (1-x-y) \, dy \, dx[/tex]

[tex]\rm I = 8 \int\limits^1_0\int\limits^{1-x}_0 {x^2-x^3-x^2y} \, dy \, dx[/tex]

[tex]\rm I = 8 \int\limits^1_0 {x^2(1-x)-x^3(1-x)-x^2\dfrac{(1-x)^2}{2}} \, dx[/tex]

[tex]\rm I = 8 \int\limits^1_0 {x^2-x^3-x^3+x^4-x^2\dfrac{(1+x^2-2x)}{2}} \, dx[/tex]

[tex]\rm I = 4\left( \int\limits^1_0 {2x^2-4x^3+2x^4-x^2-x^4+2x^3} \, dx\right)[/tex]

[tex]\rm I = 4\left( \int\limits^1_0 {x^2+x^4-2x^3} \, dx\right)[/tex]

[tex]\rm I = 4\left( {\dfrac{x^3}{3}+\dfrac{x^5}{5}-\dfrac{x^4}{2}} \right)^1_0[/tex]

[tex]\rm I = 4\left( {\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{2}} \right)[/tex]

[tex]\rm I = \dfrac{2}{15}[/tex]

By evaluating the triple integral where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) the value calculated is 2/15.

For more information, refer to the link given below:

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Answer/Step-by-step explanation:

Given:

Data set for sandwich calories=> 242, 290, 290, 280, 390, 350

Mean: the mean is given as sum of all values in the data set ÷ total no. of data set given

[tex] \frac{242 + 290 + 290 + 280 + 390 + 350}{6} = \frac{1,842}{6} = 307 [/tex]

Mean Absolute Value:

Step 1: find the absolute value of the difference between each value and the mean

|242 - 307| = 65

|290 - 307| = 17

|290 - 307| = 17

|280 - 307| = 27

|390 - 307| = 83

|350 - 307| = 43

Step 2: find the sum of all values gotten in step 1

65 + 17 + 17 + 27 + 83 + 43 = 252

Step 3: divide the result you get in step 2 by 6 to get the M.A.D

[tex] M.A.D = \frac{252}{6} = 42 [/tex]

The Mean Absolute Value represents or gives us an idea how spread the data set for the number of sandwich calories are.

Thus, averagely, the number of calories of sandwich at the restaurant are far from the mean caloric value by 42 calories.

Answer:

[tex] y = 178.3 ft [/tex]

Step-by-step explanation:

y is opposite to the reference angle, 27°.

350 ft is adjacent to the reference angle, therefore:

[tex] tan(27) = \frac{y}{350} [/tex]

Multiply both sides by 350

[tex] tan(27)*350 = \frac{y}{350}*350 [/tex]

[tex] tan(27)*350 = y [/tex]

[tex] 178.3 = y [/tex] (to nearest tenth)

[tex] y = 178.3 ft [/tex]

Greetings,

I hope you and your family are staying safe and healthy!

Answer: $4.12 per hour

Step-by-step explanation:

So, 9am to 4pm is 7 hours

Why? Because you go from 10am, 11am, 12pm, 1pm, 2pm, 3pm, and 4pm.

So now all we have to do is to divide the amount he paid by the number of hours.

Like this:

[tex]\frac{28.84}{7} = 4.12[/tex]

Therefore,

The rental cost per hour is $4.12

-----------------------------------

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Answer:

There is no short answer.

Step-by-step explanation:

To find to intervals which f(x) increases or decreases, we first need to find it's derivative.

[tex]f(x) = sinx - cosx\\f'(x) = cosx - (-sinx) = cosx + sinx[/tex]

The function is increasing when it's value is  > 0 and decreasing when it's value is < 0.

If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.

I hope this answer helps.

Answer:

Complementary angles add up to 90 degrees, or a right angle.

In this case, it would be (c) AEF and FED, AEG and CEG

Step-by-step explanation:

Answer:

AB = 10.77 units

Step-by-step explanation:

If the extreme ends of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex].

Then the length of the segment joining these extreme ends will be,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

If the extreme ends of the line segment AB are A(-3, 1) and (7, 5).

Measure of AB = [tex]\sqrt{(7+3)^2+(5-1)^2}[/tex]

AB = [tex]\sqrt{100+16}[/tex]

AB = [tex]\sqrt{116}[/tex]

AB = 10.77 units

Therefore, length of the segment AB will be 10.77 units.

Answer:

f(-3)= -3

Step-by-step explanation:

We are given the function:

f(x) = 2x+3

and asked to find f(-3). Essentially, we want to find f(x) when x is equal to -3.

Therefore, we can substitute -3 for each x in the function.

f(x)= 2x+3 at x= -3

f(-3)= 2(-3) +3

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 2 and -3.

f(-3) = (2*-3) +3

f(-3)= (-6)+3

Add -6 and 3.

f(-3)= (-6+3)

f(-3)= -3

If f(x)= 2x+3, then f(-3)= -3

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {60.2 \: m}}}}}}[/tex]

Step-by-step explanation:

Given,

Area of rectangular piece of land ( l ) = 220 m²

Width ( w ) = 12.5 m

Finding length of the rectangular piece of land

[tex] \boxed{ \sf{area \: of \: rectangle = l \times w}}[/tex]

plug the values

⇒[tex] \sf{220 = l \times 12.5}[/tex]

Swap the sides of the equation

⇒[tex] \sf{12.5 \: l = 220}[/tex]

Divide both sides of the equation by 12.5

⇒[tex] \sf{ \frac{12.5 \: l}{12.5} = \frac{220}{12.5} }[/tex]

Calculate

⇒[tex] \sf{l = 17.6 \: m}[/tex]

Length of rectangular piece of land ( l )= 17.6 m

Finding perimeter of rectangular piece of land

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + b)}}[/tex]

plug the values of length and breadth

⇒[tex] \sf{2(17.6 + 12.5) }[/tex]

Add the numbers

⇒[tex] \sf{2 \times 30.1}[/tex]

Multiply the numbers

⇒[tex] \sf{60.2 \: m}[/tex]

Therefore, Perimeter of rectangular piece of land is 60.2 m

Hope I helped!

Best regards!!

Answer:

  see below

Step-by-step explanation:

You can attack this several ways. One is to work through f(g(x)) in each case and see if the result is x.

Another is to use a graphing calculator to evaluate y=f(g(x)) to see if the result is the line y=x.

Yet another way to work this is to pick a convenient value for x and evaluate f(g(x)) or g(f(x)). Here, we'll show this last case.

  A: f(1) = 2^0 +1 = 2; g(2) = log2(2-1) -1 = -1 . . . . g(f(1)) = -1, not 1 ⇒ not inverses

  B: f(2) = 1/2(ln(1) -1) = -1/2; g(-1/2) = 2e^(0) = 2 . . . g(f(2)) = 2 ⇒ inverses

  C: f(e) = 4ln(e^2)/e^2 = 8/e^2; g(8/e^2) = e^1 = e . . . g(f(e)) = e ⇒ inverses

  D: f(10) = 10^0-10 = -9; g(-9) = log(1) -10 = -10 . . . g(f(10)) = -10, not 10

      ⇒ not inverses

_____

The second and third pairs of functions are inverses.

Answer:

Hey there!

This circle would have a center at (-4, -3) and a radius of 1.

Let me know if this helps :)

Answer:

1/8, 2/8, 3/8, 4/8, 5/8, 6/8

Step-by-step explanation:

If i have interpreted correct. You want to know a fraction with a denonminator of 8 that is less than 5/6

5/6=0.8333

Multiple Answers

1/8, 2/8, 3/8, 4/8, 5/8, 6/8

Answer: It will be 4 or -5.

Step-by-step explanation:

Answer:

x = 4, -5

Step-by-step explanation:

Step 1: Write out expression

0 = (x - 4)(x + 5)

Step 2: Find roots

x - 4 = 0

x = 4

x + 5 = 0

x = -5

Answer:

last option ie all of the above are true

Lines s and t are intersect at P. Therefor, option D is the correct answer.

In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the intersecting lines share a common point.

Straight lines s and t are intersect at P.

P is called point of intersection.

Therefor, option D is the correct answer.

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Answer:

3/8, 5/8, 3/4, 7/8, 4/3

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer: 45

Step-by-step explanation: Parentheses first.

10-1=9. Next is multiplication. 5(9)=45.

Answer:

19.375 m.

Step-by-step explanation:

Before the first bounce it has travelled 10 meters.

Then after just hitting the ground the second time it has travelled 10 +1/2(10) = 15 m.

The common ratio is 0.5 and we want the sum of  5 terms

= a1  (1 - r^n) / (1 - r)

= 10 * (1 - 0.5^5) / (1 - 0.5)

= 19.375 m.

Answer:

Step-by-step explanation:

1). x² - 10x + a²

  By using the formula of (a - b)² = a² - 2ab + b²

  x² - 2(5)x + a²

  Therefore, for a perfect square of the expression a should be equal to 5.

  Therefore, (x² - 10x + 25) will be the answer.

2). x² + 2ax + 36

  = x² + 2(a)x + 6²

  For a perfect square of the given expression value of a should be 6.

   x² + 2(a)x + 6² = x² + 2(6)x + 6²

                           = (x + 6)²

  Therefore, x² + 12x + 36 will be the answer.

3). [tex]x^{2}+\frac{1}{2}x+a^2[/tex]

    [tex]x^{2}+2(\frac{1}{4})x+a^2[/tex]

   To make this expression a perfect square,

   a² = [tex](\frac{1}{4})^2[/tex]

   [tex]x^{2}+2(\frac{1}{4})x+(\frac{1}{4})^2[/tex] = [tex](x+\frac{1}{4})^2[/tex]

  Therefore, the missing number will be [tex]\frac{1}{16}[/tex].

Answer:

it's 1/16 you're welcome!

Step-by-step explanation:

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Hi my lil bunny!

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[tex]y= [-7-6][/tex]

[tex]y = -13[/tex]

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Have a great day/night!

❀*May*❀

Answer:

0.04

Step-by-step explanation:

[tex] \dfrac{6300~L}{8.5~month} \times \dfrac{1000~cm^3}{1~Liter} \times \dfrac{1~ft^3}{(30.48~cm)^3} \times \dfrac{12~months}{1~year} \times \dfrac{1~year}{365.25~days} \times \dfrac{1~day}{24~hours} \times \dfrac{1~day}{24~hours} = [/tex]

[tex]= 0.04 \dfrac{ft^3}{hour}[/tex]

The value of the flow rate in cubic feet per hour is 0.04.

The rate of the flow of the fluid is defined as the volume of the fluid flowing through the cross-section per unit of time. The unit of the flow rate is cubic feet per hour or cubic meter per hour etc.

Given that water flows through a pipe at a rate of 6300 liters every 8.5 months. Then the flow rate in cubic feet per hour will be calculated as below:-

1 litre = 0.0353 cubic feet

6300 litres = 6300 x 0.0353

6300 litres = 222.4 cubic feet

1 month = 730 hours

8.5 months = 6205 hours

The rate of flow in cubic per hour will be:-

Rate of flow = 222.4 / 6205 = 0.04 cubic feet per hour

Therefore, the value of the flow rate in cubic feet per hour is 0.04.

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Answer:

No.

Step-by-step explanation:

High school GPA is not a significant predictor of University GPA.

The Grade Point Average obtained at the end of high school education has almost nothing (in my opinion, it has nothing to do with) to do with grades that the scholar will obtain in college. Many scholars find it difficult adjusting to the social and academic life demands of tertiary institution.

A good predictor for university Grade Point Average would be:

The CGPA (Cumulative Grade Point Average) obtained by the student(s) in each year/session/level/part in the university.

This will be a significant predictor for university GPA.