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Answer:110 degrees

Step-by-step explanation:

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]

In this question:

Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]

The function is:

[tex]h(x) = -x^2 - 5x + 14[/tex]

[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]

[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]

Then

[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]

The average rate of change of the function over the interval is of 6.

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Answer:

The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]

Step-by-step explanation:

Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.

To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?

Proof -

From the given information, the figure becomes

Triangle ABC and Triangle DBE are similar triangle

AC/DE = BC/BE

⇒h/6 = 200/(200-x)

⇒h = 1200/(200 -x)

Now,

Differentiate h with respect to t, we get

[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]

⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]

Now,

If the rate of the tip is moving down the wall

At x = 50 feet, dx/dt = 30 feet per second

So,

⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]

So, we get

The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]

Answer:

True

Step-by-step explanation:

Equivalent fractions are fractions with different numbers representing the same part of a whole.

Answer:

[tex]40[/tex]

hope this helps you.

Can I have the brainliest please?

Answer:

(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1

Substracting both

[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]

Putting in eq(2)

[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]

[tex]\\ \sf\Rrightarrow -4y=16[/tex]

[tex]\\ \sf\Rrightarrow y=-4[/tex]

Hence our solution is

Answer:

C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]

Step-by-step explanation:

[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]

[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]

9514 1404 393

Answer:

  900

Step-by-step explanation:

Let x represent the number. The given relationship is ...

  (3/5)x = 2 +(2/3)x

  -2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides

  -30 = x . . . . . . . . . . multiply by 15

Then the square of the number is ...

  x² = (-30)² = 900

Answer:

-9 + 4i

Step-by-step explanation:

The additive inverse ("opposite") of a complex number a + bi  is  -a - bi.

Just use the opposites of  a  and  b.

Answer:

[tex]Fraction = \frac{31}{38}[/tex]

[tex]\theta = 296.18^\circ[/tex]

[tex]Area = 29.62 \pi[/tex]

Step-by-step explanation:

Given

[tex]r = 6[/tex]--- radius

[tex]L = 31[/tex] --- arc length

Solving (a): Fraction represented by the arc

First, calculate the circumference (C)

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 * 3.14 * 6[/tex]

[tex]C = 38[/tex] --- approximated

So, the fraction represented by the arc is:

[tex]Fraction = \frac{L}{C}[/tex]

[tex]Fraction = \frac{31}{38}[/tex]

Solving (b): Measure of the center angle

Using arc length formula, we have:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]

[tex]31 = \frac{\theta}{360} * 37.68[/tex]

Make [tex]\theta[/tex] the subject

[tex]\theta = \frac{360 * 31}{37.68}[/tex]

[tex]\theta = 296.18^\circ[/tex]

Solving (c): The area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]

[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]

Divide 360 and 36

[tex]Area = \frac{296.18}{10} * \pi[/tex]

[tex]Area = 29.618 * \pi\\[/tex]

[tex]Area = 29.62 \pi[/tex] --- approximated

Answer:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo

Step-by-step explanation:

Answer:

15 plates

Step-by-step explanation:

450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.

Answer:

15

Step-by-step explanation:

Your units are a little confused.

The mass (total ) is 450 mg

1 plate weighs 30 mg

1 plate / 30 mg  =  x plates / 450 mg             Cross multiply

1 * 450 = 30x                                                   Divide by 30

450 / 30 = x

x = 15

There are 15 gold plates.

Answer:

49

Step-by-step explanation:

the number would simply be

14÷2=7

7²=49

Answer:

0.8k +14

Step-by-step explanation:

See the steps below:)

Answer:

There is a 10 percent increase

Answer:

700

Hope this helps!!

Answer:

700

Step-by-step explanation:

Answer:

2x= 38.5

Step-by-step explanation:

I'm not sure where u got 12x but 2 x = 38.5:

2x + 5 =82

subtract 5 for 82

2x = 77

77 divided by 2 is 38.5

x = 38.5

hope this helps :)

Answer:

See image

Step-by-step explanation:

I clicked submit and it was right

Also dude I remember doing this and struggling before

[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅

[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

Answer:

C. make purchases

Step-by-step explanation:

took the test

Answer:

He was an Anti-federalist

Step-by-step explanation:

Answer:

Anti-federalist

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

Answer:  [tex]\frac{\pi}{18}[/tex]

Step-by-step explanation:

To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.

Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]

First find the area of one side.

The area of the side of a cube is s^2 where s is the length if one edge.

The edge length is given as 2/3, so the area of a side is 2/3^2 which is equal to 2/3 x 2/3 = 4/9 square units.

A cube has 6 sides so now to find the surface area of the cube multiply the area of one side by 6 sides:

4/9 square units x 6 = (4 x6)/9 = 24/9 which can be rewritten as 2 2/3 square units

The answer is 2 2/3 units^2

Answer:

That would be (8,0) my good sir ( ma'am )

Step-by-step explanation:

Have a nice day

Answer: [tex]3x^{-2.5}[/tex]

Step-by-step explanation:

Given

Expression is

[tex]\dfrac{12\sqrt{x}}{4x^3}[/tex]

Using exponent property [tex]x^a\cdot x^b=x^{a+b}[/tex]

Writing expression in the form of [tex]k\cdot x^n[/tex]

[tex]\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}[/tex]

Answer:

∠A and ∠G is the pair of vertical angles.

Step-by-step explanation:

From the figure attached,

Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.

Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."

Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.

From the given options,

∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.

Answer:

∠A and ∠G

Step-by-Step Explaination:

I did it on

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