What is the value of the exponential expression 24?
O A. 8
B. 32
O C. 64
O D. 16

Slope:-

-4

y-intercept:-

(0,-3)

Hope it helps.

Do comment if you have any query.

Answer:

Slope: 4; y-intercept: -3

Explanation:

To find the slope of the line, we will look at the number in front of x.

That number is -4. Hence, the slope is -4

Now, the y-intercept is the constant.

The constant is -3.

Hence, the y-intercept is -3.

Answer:

Radius of sphere =1unit

SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31

∴V:S=1:3 cm

Step-by-step explanation:

Hope this helps. If any questions, please ask in comments.

Answer:

3.4

Step-by-step explanation:

The opposite of a number is the same as the additive inverse of the number.

Two numbers are opposites, or additive inverses, if they add to zero.

For a positive or a negative number, just change its sign to find its opposite. For zero, its additive inverse is zero.

The opposite of -3.4 is 3.4.

Answer: 3.4

The opposite of a positive number is a negative number.

The opposite of a negative number is a positive number.

-3.4 is a negative number, so its opposite is a positive number.

Hence, the answer is 3.4

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

156,000

Step-by-step explanation:

291 divided by 97 is 3. 52,000 x 3 = 156,000.

Population will be 6 times of present population in 291 years.

The number of people in the city at a particular time is called population of the city.

Present population of the city = 52000

According to the problem, Population doubles in size in every 97 years.

After 97 years, the population = Double of present population

                                                  = 2 × 52000 = 104000

Population in 97 years = 104000

Population in 1 year = [tex]\frac{104000}{97}[/tex]

So, population in 291 years =  [tex]\frac{104000}{97}[/tex]× 291 = 104000×3 = 312000

Population in 291 years from now = [tex]\frac{312000}{52000}[/tex] = 6 times

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The volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.

Volume of a sphere, where r is the radius of the sphere, is determined using the formula, V = 4/3 × π × r³.

Given the radius of the sphere is 4 feet

Volume of the sphere = 4/3 × π × r³ = 4/3 × 3.14 × 4³

Volume of the sphere = 268.08 ft³

Therefore, the volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.

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The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.

The volume of the cuboid will be:

= Length × Width × Height

= 12 × 2 × 7.5

= 180 inches³

The volume of the cylinder will be:

= πr²h

= 3.14 × 2.5² × 12

= 235.5 inches³

The surface area of the cuboid will be:

= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)

= 48 + 180 + 30

= 258 inches²

The surface area of the cylinder will be:

= 2πrh + 2πr²

= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)

= 188.4 + 39.25

= 227.65 inches²

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Answer:

greater than 90 but less than 180

Step-by-step explanation: the angle on 2 is a obtuse

hope this helps :)

Answer:

  154°

Step-by-step explanation:

Angles formed from opposite rays and sharing a vertex are called "vertical angles." Vertical angles are congruent.

Angle 2 and the one marked 154° are vertical angles, so they have the same measure.

Angle 2 is 154°.

_____

Additional comment

For this question, line WZ and angles 4 to 7 are irrelevant.

Use the Distributive Property, which states the following:-

[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]

where

we distribute a by multiplying it times b and c

In this case, we should distribute 9:-

9(3x-12)+9x

27x-108+9x

Combine Like Terms:-

[tex]\longrightarrow\sf{36x-108}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

C. 36x + 108

Step-by-step explanation:

Our expression :

Expanding :

#1) Open the bracket applying the distributive property.

#2) Combine like terms.

=0605hrs

= 2320hrs

= 1200hrs

= 2218hrs

have a nice day!

a. 06 05

b. 23 20

c. 12 00

d. 22 18

Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 500(1 - 0.08)^t[/tex]

[tex]A(t) = 500(0.92)^t[/tex]

At the 13th day, the mass is given by:

[tex]A(13) = 500(0.92)^{13} = 169.1[/tex]

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Answer:

AB=21

Step-by-step explanation:

14 is to (14 +12)   as   AB  is to (AB + 18)

14 / 26 = AB / (AB+18)      <===== cross multiply

14 (AB + 18) = 26 AB

AB = 21

Answer:

∠ ABC = 60°

Step-by-step explanation:

the measure of an inscribed angle is hal the measure of its intercepted arc.

∠ ABC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 120° = 60°

Answer:

Step-by-step explanation:

The measure of the inscribed angle is half the measure of intercepted angle.

∠ABC  [tex]= \dfrac{1}{2} * 120\\[/tex]

            = 60°

Using conditional probability, it is found that 25% of seniors who took a precalculus course also took a statistics course.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, the events are:

The probabilities given are [tex]P(A) = 0.6, P(A \cap B) = 0.15[/tex].

The desired probability is P(B|A), hence:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.6} = 0.25[/tex]

0.25 = 25% of seniors who took a precalculus course also took a statistics course.

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Step-by-step explanation:

It is a 5th degree binomial. The highest exponetial power of the polynomial is 5, therefore we are dealing with a 5th degree polynomial. "Polynomial" is a general term. Trinomial and binomial categorize it even more by the number of terms the polynomial has. There are two terms, so we are dealing with a binomial. The prefix bi means "two"

Answer:

Binomial with degree 5

Step-by-step explanation:

The polynomial 3x⁵ + 3 is a binomial with degree 5.

Why?

This option is correct because:

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Mikiala,  just remember  π is just a number. sooo

Step-by-step explanation:

we need a formula for area of a cone which is  (1/3) * π * r² * h

A = area , then

A=  (1/3) * π * r² * h

now just solve with the known info

A = 1/3 * π* [tex]6^{2}[/tex] *16

A= 192π

Answer:

603.2

Step-by-step explanation:

Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h

Answer:

p = 43

Step-by-step explanation:

(x²²)(x⁷)³

first, multiply the power of 7 times the power of 3

(x⁷)³ = x⁷ ° ³ = x²¹

second, add the power of (x²²) with (x²¹)

x²² ⁺ ²¹ = x⁴³

therefore, the value of p = 43

I hope this helps!

Answer:

36 yd^3

Step-by-step explanation:

6*2*3

Answer: That's because you have a greater than sign. And if you think about it 2 isn't greater than 5.

In contrast, if you'd had 2<5 (two is less than five) then you would be correct.

I hope this helps!

The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression

The equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

The equation is given as:

P2 = 100000(0.4)^(d - 4)

Apply the law on indices on the expression.

P2 = 100000(0.4)^d * 1/0.4^4

Rewrite as:

P2 = 1/0.4^4 * 100000(0.4)^d

Evaluate the exponent

P2 = 39.0625 * 100000(0.4)^d

Evaluate the product

P2 = 3906250(0.4)^d

Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expanded form of 30 is 30+ 0. 2. How can write a 30 number in expanded fraction form? In the expanded fraction form, you can write 30 as (3 x 10) + (0 x 1).

Answer:

r = 6.998 in

D = 13.996 in

C = 43.9697 in

Step-by-step explanation:

Area = π[tex]r^2[/tex]

153.86 = π[tex]r^2[/tex]

153.86/π = [tex]r^2[/tex]

sq root(153.86/π) = r ≈ 6.998 in

Diameter = 2r

D = 2(6.998) = 13.996 in

Circumference = 2πr

C = 2π(6.998)

C = 13.996π ≈ 43.9697 in

Hope this helps!

Mr. Red's salary is an illustration of an arithmetic sequence

The explicit rule of Mr. Red's salary is an = 500n + 29500

Mr. Red's salary is an arithmetic sequence with the following parameters:

First term, a1 = 30000

Common difference, d = 500

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 30000 + (n - 1) * 500

Evaluate the product

an = 30000 - 500 + 500n

This gives

an = 29500 + 500n

Rewrite as:

an = 500n + 29500

Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500

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Step-by-step explanation:

The base form (or root) of a verb is the form listed in the dictionary. It is the version of the verb without any endings (endings such as -s, -ing, and ed). The base form is the same as the infinitive (e.g., to walk, to paint, to think) but without the to.

Answer:

33

Step-by-step explanation:

area of large triangle = 117

117-(30)-(12*5/2)-(8*6/2)

= 33

The exact area of the shaded region is 33 units²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given is a figure, we need to find the area of the shaded region.

For finding the same, we will first find the area of the big triangle and then find the areas of the small parts in it having shape, triangle and a rectangle,

The area of the big triangle = 1/2 x 18 x 13 = 117 units²

The area of the two small triangles =

1/2 x 6 x 8 = 24 units²

and

1/2 x 12 x 5 = 30 units²

Now, the area of the square = 5 x 6 = 30 units²

The area of the shaded region = 117-(24+30+30) = 33 units²

Hence, the exact area of the shaded region is 33 units²

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Answer:

See below.

Step-by-step explanation:

I have already answered #6 in a previous post. Kindly find the link to the solution below :

#7) Maximum Height

#8) Time taken to land on the ground

Answer:

it should be A i think

Step-by-step explanation:

i used a calculator

Answer:

45

Step-by-step explanation:

It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left

Answer:

67.5 is the upper quartile

Answer:

-8

Step-by-step explanation:

[tex]\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}[/tex]

Answer:

-8

Step-by-step explanation:

a) she put the numbers in the wrong place, V2 ≠2

b) V32= 4V2