Instructions: Find mFG.
F
?
G
55°

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x^8}=x^{\frac{8}{3}[/tex]  The little number outside is called the index and that always serves as the denominator in the rational exponent. The power on the radicand (the radicand is whatever is inside the radical) serves as the numerator.

Answer:

D. II & III

Step-by-step explanation:

II  (x - 4)(2x + 9)  = 2x² + x - 36

III (x - 4)(x - 6) = x²- 10x + 24

I has factors (x + 4)(x - 8)

IV has factors x(x - 16)

Answer:

6/20 = 3/10 = 30%

Step-by-step explanation:

Answer:

H0 : p = 0.5 versus H1: P < 0.5

Test statistic = - 2.76

Pvalue = 0.0029

Step-by-step explanation:

The hypothesis :

We are to test if less Than half of the American population within the of 14 to 18 years usually use social media while watching TV :

Hence, population proportion, p = 0.5

H0: p = 0.5

H1: P < 0.5

Sample size, n = 760

Sample proportion, Phat = 45% = 0.45

The test statistic, Z :

Z = (Phat - P) / √[(P(1 - P)) /n]

Z = (0.45 - 0.5) / √[(0.5(1 - 0.5)) /760]

Z = - 0.05 / √0.0003289

Z = - 2.7568 ; Z = - 2.76 (2 decimal places)

The Pvalue :

Using technology :

Pvalue from Zscore calculator ; Pvalue = 0.0029

Decision region :

Reject H0 if Pvalue < α

α = 0.05

Since 0.0029 < 0.05 ; we reject the Null and conclude that less than half of American within age 14 to 18 years usually use social media while watching TV.

Answer:

x = 14.63

Step-by-step explanation:

Answer:

Neither a relation nor a function

Step-by-step explanation:

A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values

An equation is a statement that gives declare the equality between two expressions

A function is a mapping rule that maps each element in the domain set to only one element in the range set

Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function

Answer:

C: 119 square inches

Step-by-step explanation:

We are given;

Slant height; L = 5 in

Base area; B = 49 in²

Since it's a square pyramid, the base portion has a square shape.

Thus, area of base = x²

Where x is a side of the square.

Thus;

x² = 49

x = √49

x = 7

Perimeter of base = 7 × 4 = 28 in

Area of pyramid = ½PL + B

Plugging in the relevant values;

Area of pyramid = (½ × 28 × 5) + 49

Area of pyramid = 119 in²

3 / 5 = 0.6

3/5 = 60/100 = 60% = 0.6

Hope this helps!

Answer: 0.6

Step-by-step explanation: if 1/5=.20 3/5=.6

Answer:

$613.45

Step-by-step explanation:

Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

Answer:

part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.

part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.

part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.

Step-by-step explanation:

All edmentum answers :)

Answer:

120

Step-by-step explanation:

Formula for cuboid: L × W × H

Plug in:

L × W × H

4 × 5  × 6

^    ^

20    ×  6

 ^          ^

     120

Hope this helps.

Answer:

y = - x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5

y = - x + 5 ← equation of line

Answer:

76

Step-by-step explanation:

when b = -6

b^2 - 6b + 4

(-6)^2 - 6(-6) + 4

36 + 36 + 4 = 76

(remember, a negative times a negative always equals a positive)

... please mark as brainliest!! :)) ...

Given:

The vertices of the triangle ABC are A(2, 1), B(0,-1), C(2, -1).

To find:

The vertices of the image of triangle ABC if ABC is translated two units down.

Solution:

It is given that the triangle ABC is translated two units down. So, the rule of translation is:

[tex](x,y)\to (x,y-2)[/tex]

Using this rule, we get

[tex]A(2,1)\to A'(2,1-2)[/tex]

[tex]A(2,1)\to A'(2,-1)[/tex]

Similarly,

[tex]B(0,-1)\to B'(0,-1-2)[/tex]

[tex]B(0,-1)\to B'(0,-3)[/tex]

And,

[tex]C(2.-1)\to C'(2,-1-2)[/tex]

[tex]C(2.-1)\to C'(2,-3)[/tex]

The vertices of the image are A'(2,-1), B'(0,-3), C'(2,-3).

Therefore, the correct option is C.

Answer:

C.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

let the length of VN be x

VNB ~ VMD

VN/VM = BN/DM

x/(30+x) = 12/24

24x=12(30+x)

24x=360+12x

12x=360

x = 30

Answer:

Step-by-step explanation:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

An expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

" Amount is defined as the total of any given quantity."

According to the question,

Total number of coins = 17

Number of nickels coins = N

Number of dimes coin = 17 - N

'Y' express the amount of money

Represent amount of money in cents

1 dime = 10 cents

1 nickel = 5 cents

Expression to represents amount of money in cents,

5N + 10 (17 -N)  = Y cents

Expression to represents amount of money in nickels,

1 dime = 2 nickel

N + 2(17 - N) = Y nickels

Hence, an expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

Learn more about amount here

https://brainly.com/question/27337635

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Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]

[tex]5x=2(x+240)[/tex]

[tex]5x=2x+480[/tex]

Subtract 2x from both sides.

[tex]5x-2x=480[/tex]

[tex]3x=480[/tex]

Divide both sides by 3.

[tex]x=\dfrac{480}{3}[/tex]

[tex]x=160[/tex]

So, the cost of shirt is $160.

Now, the cost of jacket is:

[tex]160+240=400[/tex]

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

Answer:

0.04

Step-by-step explanation:

2 / 50 is the same as 1 / 25.

1 / 25 = 0.04

Answer:

0.04

Step-by-step explanation:

Answer:

y = sin( x/2)

Step-by-step explanation:

The amplitude is 1

The period is 4pi

y = A sin ( Bx)

where A is the amplitude and B is 2pi/ period

y = 1sin (2pi/ 4pi x)

y = sin( x/2)

Answer:

Step-by-step explanation:

c

Answer:

y = -1/2x

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(-4) + b

To find b, multiply the slope and the input of x (-4)

2 = 2 + b

Now, subtract 2 from both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/2x + 0 or y = -1/2x

This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)

Hope this helps!

Answer:

We can write a ratio between two quantities, x and y, as:

x to y.

To find if two ratios:

"a to b" and "c to d" are equal, we need to see if the quotientes:

a/b and c/d are equal.

Here we know that the ratios are:

4 apples to 5 strawberries, this gives the quotient 4/5 = 0.8

7 apples to 9 strawberries, this gives the quotient 7/9 = 0.78

So the quotients are different, which means that the ratios are not equal.

Now we want to see who used a greater ratio of apples to strawberries.

notice that in the numerator we used the number of apples, so as larger is the quotient, larger is the ratio of apples to strawberries.

We can see that the quotient of Angie is larger, then Angie used the greater ratio of apples to strawberries.

Answer:

[tex] \theta = 7 .2\degree [/tex]

Step-by-step explanation:

[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]

Answer:

D

Step-by-step explanation:

The correct answer is D

Answer:

D

Step-by-step explanation:

y<2/3 x-1 is the answer

9514 1404 393

Answer:

  9.23%

Step-by-step explanation:

The account balance for simple interest is given by ...

  A = P(1 +rt) . . . . . principal P invested for t years at rate r

  554 = 379(1 +r·5)

  554 = 379 + 1895r . . . . eliminate parentheses

  175 = 1895r . . . . . . . . . subtract 379

  r = 175/1895 ≈ 0.092348 ≈ 9.23%

Jennifer's account had an interest rate of about 9.23%.

Answer:

4, yes through the middle    5, yes through the middle 6, yes through the middle  all of them reflect from the center

Step-by-step explanation:

Answer:

No Major League ballparks are exactly alike, but certain aspects of the field of play must be uniform across baseball.

The infield must be a square that is 90 feet on each side, and the outfield is the area between the two foul lines formed by extending two sides of said square (though the dirt portion of the field that runs well past the 90-foot basepaths in all Major League parks is also commonly referred to as the infield). The field must be constructed so that the bases are the same level as home plate.

The rulebook states that parks constructed by professional teams after June 1, 1958, must have a minimum distance of 325 feet between home plate and the nearest fence, stand or other obstruction on the right- and left-field foul lines, and 400 feet between home plate and the nearest fence, stand or other obstruction in center field. However, some clubs have been permitted to construct parks after that date with dimensions shorter than those specified.

The pitcher's plate must be a 24-inch by 6-inch slab of whitened rubber that is 10 inches above the level of home plate and 60 feet, 6 inches away from the back point of home plate. It is placed 18 inches behind the center of the mound -- which is erected within an 18-foot diameter circle -- and surrounded by a level area that is 5 feet by 34 inches. The slope of the pitcher's mound begins 6 inches in front of the pitcher's plate and must gradually decrease by 1 inch every foot for 6 feet in the direction of home plate.

Home plate is a 17-inch square of whitened rubber with two of the corners removed so that one edge is 17 inches long, two adjacent sides are 8 1/2 inches each and the remaining two sides are 12 inches each and set at an angle to make a point. The 17-inch side faces the pitcher's plate, and the two 12-inch edges coincide with the first- and third-base lines. The back tip of home plate must be 127 feet, 3 and 3/8 inches away from second base.

The other bases must be 15-inch squares that are between 3 and 5 inches thick, covered by white canvas or rubber and filled with soft material.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle x(b-c) = y+x[/tex]

And that:

[tex]2b=3c=7[/tex]

And we want to find the value of y / x.

To start, subtract x from both sides in the first equation:

[tex]x(b-c) -x = y[/tex]

Divide both sides by x:

[tex]\displaystyle \frac{x(b-c)-x}{x}=\frac{y}{x}[/tex]

Simplify:

[tex]\displaystyle (b-c)-1 = \frac{y}{x}[/tex]

Next, in the second equation, divide everything by two:

[tex]\displaystyle b = \frac{3}{2} c = \frac{7}{2}[/tex]

Substitute:

[tex]\displaystyle \left(\frac{3}{2} c - c \right) - 1= \frac{y}{x}[/tex]

Simplify:

[tex]\displaystyle \frac{1}{2} c - 1 = \frac{y}{x}[/tex]

From the modified second equation, we can multipy both sides by 1/3:

[tex]\displaystyle \frac{1}{2} c = \frac{7}{6}[/tex]

Substitute:

[tex]\displaystyle \left(\frac{7}{6}\right) -1 = \frac{y}{x}[/tex]

Subtract:

[tex]\displaystyle \frac{y}{x} = \frac{7}{6} - \frac{6}{6} = \frac{1}{6}[/tex]

Therefore, our answer is B.

Answer:

Step-by-step explanation:

11t= tina

Rita= 11r+32

Answer:

Step-by-step explanation:

The formula for this, specific to our circle, is

∠RQP = [tex]\frac{1}{2}[/tex](arc SP - arc RP) and filling in:

∠RQP = [tex]\frac{1}{2}(170-86)[/tex] and

∠RQP = [tex]\frac{1}{2}(84)[/tex] so

∠RQP = 42°