Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))

(A) delta h(t) = 32

Step-by-step explanation:

Average rate of change delta h(t) is given by

[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]

at t = 0, h(0) = 80

at t = 2, h(2) = -16(4) + 64(2) + 80 = 144

Plugging in the numbers

delta h(t) = (144 - 80)/(2 - 0)

= 32

9514 1404 393

Answer:

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

__

Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

__

Alternate interior angles are congruent, so ...

  y° = 40°

Answer:

7x-1/22 = 3x+1/10

Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.

The LCM of 22 and 10 is 110

So

110 x(7x-1/22) = 110 x (3x+1/10)

110/22 =5

110/10 = 11

So the eqn now becomes

5(7x-1) = 11(3x+1)

Opening the parentheses

35x - 5 = 33x + 11

Collect Like Terms

35x - 33x = 11 + 5

2x = 16

x= 8.

Answer:

[tex] m =\dfrac{-5}{7}[/tex]

Step-by-step explanation:

Given :-

And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,

[tex]\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}[/tex]

[tex]\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7} [/tex]

Hence the slope of the line is -5/7 .

Answer:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 2x - 2[/tex]

[tex]x = \{x|-3,-2,1,5\}[/tex]

Required

The range using set notation

We have:

[tex]g(x) = 2x - 2[/tex]

When [tex]x = -3[/tex]

[tex]g(-3) = 2*-3 - 2 = -8[/tex]

When [tex]x = -2[/tex]

[tex]g(-2) = 2*-2 - 2 = -6[/tex]

When [tex]x = 1[/tex]

[tex]g(1) = 2*1 - 2 =0[/tex]

When [tex]x=5[/tex]

[tex]g(5) = 2*5 - 2 =8[/tex]

So, we have:

[tex]y = -8,-6,0,8[/tex]

Using set notation, the range is:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

Answer:

12.56 m

Step-by-step explanation:

If the radius is 2, the the diameter will be 4 since the diameter = 2 radius. Next, you will multiply 3.14 * 4 to get your answer:

12.56 m

35 is the sum of the first five triangular numbers, making it a tetrahedral number. 35 is the number of ways that three things can be selected from a set of seven unique things also known as the "combination of seven things taken three at a time". ... 35 is the highest number one can count to on one's fingers using base 6.

Answer:

22 hamburgers

Step-by-step explanation:

number of well-done hamburgers = total hamburgers sold x percent of well-done hamburgers

40 x 0.55 = 22

Answer:

11 degrees

Step-by-step explanation:

Vertical angles (opposite angles made by two intersecting lines) have the same measure.

9514 1404 393

Answer:

Step-by-step explanation:

The midsegment (x) has a length that is the average of the base lengths:

  x = (48 +32)/2 = 80/2

  x = 40

__

The end angles are supplementary:

  y° = 180° -112° = 68°

  y = 68

__

  z° = 180° -52° = 128°

  z = 128

Answer:

B

Step-by-step explanation:

$970+$2436= $3,406

the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)

Answer:

20

Step-by-step explanation:

if a hungry elf ate all 20 of your muffins then technically you only had 20 to start with.

Answer:

27.91 pretzels.

Step-by-step explanation:

Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

89 / 2.5 / 11 = X

35.6 / 11 = X

3.236 = X

3/4 = 0.75

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer:

A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. In this case, (3, 2) is the only solution.

Step-by-step explanation:

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is [tex]V=1592\ m^3[/tex]

The density of the helium is [tex]\rho =0.1785\ kg/m^3[/tex]

Mass of the helium gas is given by the product of density and volume

[tex]\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg[/tex]

Thus, the mass of gas is 285.2 kg

Answer:

Percentage increase in the cost of his train ticket = 3% (Approx.)

Step-by-step explanation:

Given:

Cost of annual ticket paid by Patrick last year = £2,534

Cost of annual ticket paid by Patrick current year = £2,612

Find:

Percentage increase in the cost of his train ticket

Computation:

Percentage increase = [(Current - Base) / Base]100

Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100

Percentage increase in the cost of his train ticket = [(78) / 2,534]100

Percentage increase in the cost of his train ticket = [0.03078]100

Percentage increase in the cost of his train ticket = 3.078

Percentage increase in the cost of his train ticket = 3% (Approx.)

Answer:45.5

Step-by-step explanation:

Answer:

3^12

Step-by-step explanation:

Answer:

3^12

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = (-2, 7)

Step-by-step explanation:

Add the first equation to twice the second.

  (4x +4y) +2(2x -2y) = (20) +2(-18)

  8x = -16 . . . . . . simplify

  x = -2 . . . . . . . . divide by 8

__

  2(-2) -2y = -18 . . . . .substitute into the second equation

  y + 2 = 9 . . . . . . . . . divide by -2

  y = 7 . . . . . . . . . . . subtract 2

The solution is (x, y) = (-2, 7).

Answer:

y-intercept is at (0,3)

Step-by-step explanation:

Answer:

Letter A

Step-by-step explanation:

Just think: which number would have the greatest value if it was rounded to the nearest hundredth

Answer: A

Step-by-step explanation:

I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)

Hope This Helps!

Answer:

I think it is J if not it may be H if they are both wrong i am so so sorry

Step-by-step explanation:

Answer:

A. 45h = 1,575

Step-by-step explanation:

Area of trapezoid = 1,575 cm² (given)

We are given the length of both bases, a = 63 cm and b = 27 cm

We need to find the formula that will enable us determine its height (h).

Thus:

Area of trapezoid = ½(a + b)h

Plug in the values

½(63 + 27)h = 1,575

½(90)h = 1,575

45h = 1,575

The answer is A. 45h = 1,575

Answer:

C

Step-by-step explanation:

im decently sure but dont rely on this answer

Answer:

The completed reaction is

CaCO3 + 2 HCl → (Ca+2 + 2 Cl-)aq + H2O + CO2↑