Algebraic Expression
p is less than s by 40

The numeric values for the given functions are as follows:

1. g(-4) = -21.

2. f(-1) = 3.

To find the numeric value of a function at input x = a, we replace each instance of the variable x in the function by the desired value of a.

For item 1, function g(x) is defined as follows:

g(x) = -x² - 5.

We want to find the numeric value at x = -4, hence the lone instance of x is replaced by -4 as is shown below:

g(-4) = -(-4)² - 5 = -16 - 5 = -21.

Hence g(-4) = -21 is the numeric value.

For item 2, the function f(x) is given as follows:

f(x) = -3(1 - x - 3x²).

To find the numeric value at x = -1, both instances of x have their values replaced by -1, hence the numeric value will be given as follows:

f(-1) = -3(1 - (-1) - 3(-1)²) = -3(1 + 1 - 3) = 3.

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Answer:

0.29761904761

Step-by-step explanation:

Brainlest, Please!

Answer:

25/84

Step-by-step explanation:

1. 2 1/10 is mixed number fraction so convert it into an improper fraction.

~ Multiply whole number and denominator and add the numerator of 1

~ Improper fraction: 21/10

2. So, new equation is (5/8) / (21/10)

3. Use the Keep, Change, Flip method:

~ Keep the 5/8

~ Change division to multiplication

~ Flip the improper fraction to 10/21

4. Solve the equation:

~ (5/8) x (10/21) = 50/ 168

5. Reduce fraction:

~ By 2

~ 25/84

Step-by-step explanation:

For Arithmetic Sequence

Tn = a + (n -- 1)d

Where Tn = the no of nth term

a = First number

n = nth term

d = common difference

a = --27, T2 = --21

d = second term -- first term

d = --27 -- (--21)

d = --27 + 21 = --6

a = --27, n = 62, d = --6, T62 = ?

Tn = a + (n -- 1)d

T62 = --27 + (62 -- 1)×--6

T62 = --27 + (61 × --6)

T62 = --27 + (--366)

T62 = --27 -- 366

T62 = --393

The mean distance, μ, If 5% of balls go farther than 70 feet is; μ = 68.032

We know that the formula to find the z-score is;

z = (x' - μ)/σ

where;

z is z-score

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

σ = standard deviation = 1.2

x' = sample mean = 70 ft

Now, the z-score that produces a p-value of 0.05 or 5% is; z = 1.64

Thus;

1.64 =  (70 - μ)/1.2

μ = 70 - (1.64 * 1.2)

μ = 68.032

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Answer:

Bro x =21

Step-by-step explanation:

X=21 and AM=14

As all the lines are same so all will be 7 and x will be 3 times 7 which is 21 and in the AM case there 7 is 2 times thus multiply 7 by 2 for 14

Answer:

27/8 or 3⅜

Step-by-step explanation:

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Answer:

 x = 5.33333333333

Step-by-step explanation:

3x-5=11

   +5   +5

3x= 16

3      3      

u need to separate the 3x

so u use the opposite operation on - 5

add +5 on both sides

-5 plus 5 cancel each other

add 11 to 5 and that is 16

bring them down and divide both by 3

and ur 3 cancel each other,

now divide 16 by 3

and u get  x = 5.33333333333

Answer:

Time since the person starts walking is the input

t represents the input

Step-by-step explanation:

The balloon's vertical distance above the ground is equal to 633.7 feet

What is angle of depression?
The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.

Given data ,

we have Angle of depression = 35°

Base distance D = 905 ft

Let the vertical distance be H

To calculate the vertical distance H of the balloon above the ground , we use the angle of depression and the base distance.

Therefore , using the trigonometric identities ,

sin = Opposite / Hypotenuse

cos = Adjacent / Hypotenuse

tan = Opposite / Adjacent

So , tan  Ф = tan 35°

                  = H / D

      tan 35°= H / 905

H = tan 35° x 905 ft

H = 0.7002075 x 905

H = 633.7 ft

Hence ,  vertical distance is equal to 633.7 ft

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Answer: $860 this week.

Step-by-step explanation:

Paul worked 40 hours this week, and makes 21.50 dollars an hour. Gross pay means the amount of money paid before taxes.

So we don't need to calculate any taxes, which means all we need to do is multiply 21.50 by 40 hours, since he makes 21.50 an hour, and he worked 40 hours.

Given:

The number of faces =8.

Required:

We need to find the polyhedron with 8 faces.

Explanation:

Recall that the tetrahedron is a polyhedron composed of four triangular faces

The number of faces in tetrahedron =4.

Recall that the octahedron is a polyhedron with 8 faces.

The number of faces in the octahedron= 8.

Recall that the dodecahedron is a polyhedron with 12 faces.

The number of faces in the dodecahedron = 12.

Recall that the icosahedron is a polyhedron with 20 faces.

The number of faces in icosahedron =20.

Final answer:

octahedron

Answer:

A square pyramid is composed of an eight-sided square base, four triangular sides, five vertices, and five vertices. This pyramid has a square base with a peak at the top. The fact that a square pyramid is a polyhedron was noted.

Step-by-step explanation:

The three-dimensional geometric shape of a square pyramid has a square base and four triangular sides that are joined at the vertex. Five facets make up its polyhedron shape (pentahedron). Four triangles joined at the vertex and a square base make up a square pyramid. Three sides, a square base, and a central vertex characterize the triangle side faces. The tallest point of the pyramid is known as its "apex." The base is represented by the bottom square. Faces are the three triangular vertices of the triangle. When viewed from the bottom up, a pentahedron is a five-sided, three-dimensional shape that resembles a square pyramid.

Answer:

667/45 or 14 37/45

Step-by-step explanation:

you have to convert 5 4/5 x 2 5/9 then you multiply those numbers but simply them which would be 29/5 x 23/9 then you get 667/45 or 14 37/45 as an alternative form

hope this helps

Answer:

8, B

Step-by-step explanation:

[tex]-6(3-r)=30 \\ \\ -18+6r=30 \\ \\ 6r=48 \\ \\ r=8[/tex]

Si definimos N como el nuevo número de esferas en la urna, entonces la expresión algebraica será:

N = x - 3.

Sabemos que tenemos una urna con x esferas, donde x representa un numero entero.

Sabemos que 3 esferas se extraen de la urna, es decir, el número total de esferas en la urna decrese en 3 unidades.

Entonces podemos escribir la expresión algebraica como:

N = x - 3

Donde definimos N como el nuevo número de esferas en la urna.

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The speed of the walker is 16.67 miles per hour.

The speed of the cyclist is 25 miles per hour.

Let the speed of a walker = x

Biker's speed = 1.5x

Their relative speed will be:

= 1.5x - x = 0.5x

Distance between them = 12.5 miles

Time taken = 1.5 hours.

It should be noted that distance will be:

= Speed × Time

12.5 = 1.5 × 0.5x

Divide through to get x

12.5 = 0.75x

x = 16.67 miles per hour.

Speed of cyclist = 16.67 × 1.5 = 25 miles per hour.

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Answer:

1

Step-by-step explanation:

from the rule of exponents

• [tex]a^{0}[/tex] = 1 , then

[tex](5x)^{0}[/tex] = 1

Answer:

-1

Step-by-step explanation:

First combine like terms on the right side (5x-10x) to get -5x +4

6-3x=-5x+4

then move the -5x over to get 2x because you would add the -5x to the -3x.

6+2x= 4

then subtract 6 on both sides.

2x=-2

to make your final answer -1.

Answer:

Yes

Step-by-step explanation:

The Elephant Building is 335 feet high. A real Asian elephant is 12 feet tall. If 29 real elephants could stand on top of each other, would they reach the top of the building?

They are asking if 29 12' elephants are as tall as as a 335' building:

29 × 12' = 348' elephant stack

because 348' is taller than 335' building then yes, 29 staked elephant would reach and pass the top of a 335' building.  

Answer:

x = 3

Step-by-step explanation:

3x + 2 = 11

3x = 11 - 2

3x = 9

x = 9/3

x = 3

Answer:

Separate the x and the numbers on each side and solve.

3x + 2 = 11

3x = 9

x = 3

Answer:

h(x) = 9x-18 is the correct inverse function

Step-by-step explanation:

f(x) -> y (first we need to rewrite the equation with y)

y= 1/9x+2 (next we need to solve for x)

y=1/9x

-2 -2  (subtract 2 from both sides)

y-2= 1/9x (multiply 9 on both sides

9y-18= x (and lastly switch back x and y)

y = 9x - 18 (if a real equation than write h(x) or [tex]f(x)^{-1}[/tex], if not real equation keep it in y)

h(x) = 9x-18

Hope this helps!

Answer:

9x–18

you can ask questions for clarification

Answer:

Step-by-step explanation:

Part A. The figure at the right is of 2 grain, storage silos. The diameter of each measures 24 feet and the height of the cylinder measures 51 feet. The height ...

Answer:

Standard deviation measures the dispersion of a dataset relative to its mean

Step-by-step explanation:

[tex]\frac{x^{2} - 9}{3x^{2} + 8x - 3 } : \frac{x - 3}{x + 2} =\frac{(x^2 - 9)(x + 2)}{(3x^2 +8x - 3)(x - 3)} =\frac{x^3 + 2x^2 - 9x - 18}{3x^3 - 9x^2 + 8x^2 - 24x - 3x + 9} =\frac{ x^3 + 2x^2 - 9x - 18}{3x^3 - x^2 - 27x + 9} = \frac{0}{3 - 3x} = 0[/tex]

Answer:

0

Step-by-step explanation:

when you multiply, and add and subtract it all up, you eventually get 0 over 3-3x. what is 0 divided by 3-3x? 0

Hence the angle theta is 70.5°

What is angle?

The space between two lines or surface that meet  measured in degrees.

As per the given question a ladder 3.5 m long leaning against the wall of a house reaches a height of 3.3 m we have to find what ladder make the ground.

Sol-

Let the angle is theta

Length of the ladder is 3.5m

Height of the ladder is 3.3 m

Sin= 3.5/3.3

      =0.942

Sin =sin 70.5°

Theta = 70.5°

Hence the angle is theta =70.5°

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169.6/53 = 3.2

about 3.2 hours

Answer:

3.2 hours

Step-by-step explanation:

169.6 ÷ 53 = 3.2

so, she drove 3.2 hours

After 18 hours the remaining quantity of the radioactive sample will be (A) 4.68 grams.

So, original radioactive substance = 3000 grams.

So, a number of half-lives in 18 hours:

Then, after 18 hours:

Therefore, after 18 hours the remaining quantity of the radioactive sample will be (A) 4.68 grams.

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The correct question is given below:
300 grams of a radioactive sample has a half-life of 3 hours. After 18 hours, the remaining quantity will be:

(A) 4.68 gm

(B) 2.34 gm

(C) 3.34 gm

(D) 9.37 gm

They tell us that it is distributed in a normal way, which means that the distribution has the following characteristics:

If teh standart deviation is 2.7 gallon and the avriabe is normal distributed we need to know the probability highlighted in the image above, when replacing in the formula with x greater than 25 we obtain:

Based on the given equation, the change of subject of the equation to M is given by M = 10L - 5/2g + 130

Changing the subject of formula of an equation is the working out of a particular variable from the list of variables in the formula. The variable is either denoted with letter or symbol.

M/5 - 26 = 2L- 1/2g

Where,

M/5 - 26 = 2L- 1/2g

M/5 = 2L - 1/2g + 26

M = 5(2L - 1/2g + 26)

M = 10L - 5/2g + 130

Therefore, the solving for M in the equation will give M = 10L - 5/2g + 130

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