Simplify the expression (5)2.

25
-10
-25
10

Answer:

The missing values are [tex]A = \frac{1}{4}[/tex], [tex]B = 1[/tex] and [tex]C = 4[/tex], respective.

Step-by-step explanation:

We find the values regarding A, B and C by evaluating [tex]g(x)[/tex] at respective values of [tex]x[/tex]:

[tex]x = -2[/tex]

[tex]g(-2) = 4^{-\frac{2}{2} }[/tex]

[tex]g(-2) = 4^{-1}[/tex]

[tex]g(-2) = \frac{1}{4}[/tex]

[tex]A = \frac{1}{4}[/tex]

[tex]x = 0[/tex]

[tex]g(0) = 4^{\frac{0}{2} }[/tex]

[tex]g(0) = 1[/tex]

[tex]B = 1[/tex]

[tex]x = 2[/tex]

[tex]g(2) = 4^{\frac{2}{2} }[/tex]

[tex]g(2) = 4^{1}[/tex]

[tex]g(2) = 4[/tex]

[tex]C = 4[/tex]

Answer:       A=1/4,   B=1,   C=4

Step-by-step explanation:

Correct on edge 2022

Answer:

below

Step-by-step explanation:

that is the procedure above

The balance in the account after 2 years is $619.35.

The compound interest for an amount depends on both Principal and interest gained over periods.

Dlan invested $600 in a savings account at a 1.6% annual interest rate.

He made no deposits or withdrawls on the account for 2 years.

The balance in the account after 2 years is given by;

[tex]\rm Amount =Principal(1+rate)^{time}[/tex]

Substitute all the values in the formula

[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]

Hence, the balance in the account after 2 years is $619.35.

Learn more about compound interest here;

https://brainly.com/question/14295570

#SPJ2

Answer:

b = 6

Step-by-step explanation:

solve the second equation for 'y':

-3x + 1/2y = -3

add 3x to each side to get:

1/2y = 3x - 3

multiply all terms by 2 to eliminate the denominator to get:

y = 6x - 6

now compare '6x-6' with '6x-b'

you want both expressions to be equal because then there are an infinite number of solutions:

b = 6

=============================================================

Explanation:

Ignore the sides that are 'a' units long.

We'll compare the sides that are 26 units and 27 units long. We see the 27 unit side is larger, which makes the 93 degree angle larger than the 3x-9 degree angle.

Symbolically, we would say

3x-9 < 93

At the same time, the 3x-9 is also larger than 0

So

3x-9 > 0 or 0 < 3x-9

Put together, we can form this compound inequality

0 < 3x-9 < 93

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

Let's isolate x like so

0 < 3x-9 < 93

0+9 < 3x-9+9 < 93+9 .... add 9 to all sides

9 < 3x < 102

9/3 < 3x/3 < 102/3 .... divide all sides by 3

3 < x < 34

x is any number between 3 and 34, but cannot equal either endpoint

For example, x = 10 is valid since 3 < 10 < 34 is true. But x = 50 is not a solution since 3 < 50 < 34 is false. We can't have x = 3 and we also can't have x = 34 either, but we can have anything in between those endpoints.

Answer:

7, 17, 37, 47, 73, 79, 97

Step-by-step explanation:

they have 7's as one of their digits

Answer:

840

Step-by-step explanation:

600×140% =840 hope this helps

Answer:

9 dollars.

Step-by-step explanation:

A dozen is 12.

12/4 = 3

$3 * 3 = $9

Step-by-step explanation:

3×4=12. 12 is a dozen. $3=4 muffins. $6=8 muffins. 9=12 muffins . so $9 for a dozen

Answer:

12

Step-by-step explanation:

The triangles are similar because they have the same angles.

Make a proportion to solve for AC which we will substitute with variable x.

AM = MB = 4

AB = AM + MB = 8

BN = NC = 3

BC = BN + NC = 6

big triangle sides: 8, 6, x

small triangle sides: 4, 3, 6

now we can write proportion.

8/4 = x/6

x = 12

AC = 12

Answer:

s = 71

Step-by-step explanation:

Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is

GJ = [tex]\frac{1}{2}[/tex] HI , so

s - 65 = [tex]\frac{1}{2}[/tex] (s - 59) ← multiply both sides by 2 to clear the fraction

2s - 130 = s - 59 ( subtract s from both sides )

s - 130 = - 59 ( add 130 to both sides )

s = 71

Answer:

[tex]P = (3,0)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,-2)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]B = (6,1)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]m:n =2:1[/tex]

Required

The coordinates of P

This is calculated as:

[tex]P = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}][/tex]

So:

[tex]P = (\frac{2*6+1*-3}{2+1},\frac{2*1+1*-2}{2+1})[/tex]

[tex]P = (\frac{9}{3},\frac{0}{3})[/tex]

[tex]P = (3,0)[/tex]

Answer:

1 pair of parallel sides: B

2 pairs of parallel sides: A, D

3 pairs of parallel sides: C

Step-by-step explanation:

When two lines are parallel, they will never intersect.

Answer:

a23, a31, a21, a11, a12, a33

Step-by-step explanation: I got it right on Edumentum.

Answer:

a23, a31, a21, a11, a12, a33

Step-by-step explanation:

Step-by-step explanation:

y = 5^x -9

5^x = y + 9

x = ^5 log (y+9)

f~'(x) = ^5 log (x+9)

Answer:

ITS D GOT 100 ON QUIZE

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

bc i said so

Answer:

the radius is 3 m

Step-by-step explanation:

the radius of a circle is always one half of the diameter.

Here the diameter is 6 m, so the radius is 3 m.

Answer:

A) 23

B) 75

C) 6.30

Step-by-step explanation:

A) Range = highest value - least value

Range = 20

least value = 3

Thus,

20 = highest value - 3

highest value = 20 + 3

                      = 23

The number that would make the range of the data set 20 is 23.

B) Let the number be represented by x, so that;

15 = [tex]\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}[/tex]

cross multiply to have

15 x 8 = 45 + x

120 - 45 = x

x = 75

The number that would make the mean of the data set 15 is 75.

C) The given data plus a number that is close to the mean would reduce the standard deviation.

mean of the data set = [tex]\frac{3+10+8+3+10+1+10}{7}[/tex]

                                   = 6.43

The required number could be 6.30

Answer:

1/2 or 50% or .5

Step-by-step explanation:

She hits at .500 that's pretty good. I'd take her on my fantasy team.

Answer:

-8 < x< 3

Step-by-step explanation:

|2x+5| <11

there are two solutions, one positive and one negative ( remember to flip the inequality for the negative)

2x+5 <11  and   2x+5 > -11

Subtract 5 from each side

2x+5-5 < 11-5 and    2x+5-5 > -11-5

2x< 6           and           2x>-16

Divide by 2

2x/2 <6/2        and       2x/2 >-16/2

x <3                  and             x>-8

-8 < x< 3

x is less than 3 and x is greater than -8

open circles and -8 and 3 and a line between

Answer:

Angle HFG = 24 degrees

Step-by-step explanation:

From the diagram, we have the following;

Angle EFH and angle HFG are complementary (they add up to be 90 degrees)

angle EFH + angle HFG = 90

Angle HFG = 90-66

Angle HFG = 24 degrees

Answer:

Gradient is change in y over change in x.

gradient = y1-y2 ÷ x1-x2

=7-11 ÷ 3-5

=-4 ÷ -2

=2

Use the slope/gradient formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

This formula is for when we want to find the gradient when we have two given points. (We also call it Rise Over Run or changes of y over the changes of x.)

We are given two points which are (3,7) and (5,11). Substitute these points in the equation. (the ordered pairs are in (x,y) and not (y,x))

[tex] \large{m = \frac{11 - 7}{5 - 3} } \\ \large{m = \frac{4}{2} \longrightarrow \boxed{m = 2}}[/tex]

Hence, the gradient of AB is 2.

Answer

Answer:

Step-by-step explanation:

circumference of circle=2πr

=2*π*9

=18π m

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 9 m.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

A. C = 18 π ✅

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:18\:π\:m.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2Πr }[/tex]

[tex] = 2 \: \pi \times 9 \: m \\ = 18 \: \pi \: m[/tex]

Therefore, the circumference of the circle is 18 π m.

[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]

Answer:

760

Step-by-step explanation:

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 3y = 18 → (1)

x + 2y = 9 → (2)

Multiplying (2) by - 3 and adding the result to (1) will eliminate the x- term

- 3x - 6y = - 27 → (3)

Add (1) and (3) term by term to eliminate x

0 - 3y = - 9

- 3y = - 9 ( divide both sides by - 3 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (2)

x + 2(3) = 9

x + 6 = 9 ( subtract 6 from both sides )

x = 3

solution is x = 3, y = 3

Answer:

x = 3 , y = 3

Step-by-step explanation:

Dividing (1) by 3 : x + y = 6 --(3)

                                  x = 6 - y --(3)'

Substituting (3)' into (2),

(6 - y) + 2y = 9

6 - y + 2y = 9

             y = 3 -- (4)

Substituting (4) into (3),

x + 3 = 6

     x = 3 -- (5)

According to (4) and (5),

x = 3 , y = 3

Answer:

the time taken by Mrs Brown to catch up is 18.75 hours

Step-by-step explanation:

Given;

average speed of Mr Brown = 75 mph

average speed of Mrs Brown, = 85 mph

time first traveled by Mr Brown = 2.5 hours

The distance traveled by Mr Brown before Mrs Brown start her own Journey;

D = speed  x time

D = 75 mph x 2.5 h

D = 187.5 miles

Let the time taken by Mrs Brown to catch up = t

(85 - 75)t = 187.5

10t = 187.5

t = 18.75 hours

Check:

after 18.75 hours:  Mrs Brown will travel ⇒ 18.75 x 85 = 1593.75 miles

after (2.5 h + 18.75h) : Mr Brown will travel ⇒ 21.25 x 75 = 1593.75 miles

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.

Answer:

Step-by-step explanation:

Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.

Your

Answer:

Step-by-step explanation:

If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.

If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118

Answer:

-12, 0

Step-by-step explanation:

Step-by-step explanation:

The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:

[tex] \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } [/tex]