What is the area of a circle with a radius of 35 inches?
in²
(Use 3.14 for Pi.)

The equivalent expression of the given expression (3x⁴ + 17x³ − x) and (− 2x⁴ − 5x) will be (x⁴ + 17x³ − 6x).

The equivalent is the functions that are in different forms but are equal to the same value.

The expression is given below.

(3x⁴ + 17x³ − x) + (− 2x⁴ − 5x)

Then the equivalent expression of the given expression will be

3x⁴ + 17x³ − x − 2x⁴ − 5x

x⁴ + 17x³ − 6x

The equivalent expression of the given expression (3x⁴ + 17x³ − x) and (− 2x⁴ − 5x) will be (x⁴ + 17x³ − 6x).

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base= 10 ft

height= 12 ft

the surface area of the given pyramid.

[tex]s.a = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } [/tex]

[tex]s.a = {10}^{2} + 2 \times 10 \times \sqrt{ \frac{ {10}^{2} }{4} { \times 12}^{2} } [/tex]

[tex]s.a = 360 \: {ft}^{2} [/tex]

therefore, the surface area of the given pyramid is 360 square feets.

answer= option D

Answer:

87 degrees

Step-by-step explanation:

The triangle with the angles 79 and 15, we can find the last value because all angles in a triangle add up to 180. So, 180-79-15= 86 degrees for the angle of the triangle.

Because the 86 degree angle is complimentary, or when added up to the adjacent angle, is 90 degrees (we see that little box sign), that means that 90-86=4 degrees for the upper triangle in the angle that isn't the question mark. Now that we know 2 values for the top triangle, we can solve for the third value by subtracting those two from 180.

180-89-4=87 degrees. Hope this helps!

Answer:

The family will need $34500.

Step-by-step explanation:

1. 5% of 30000 is 1500.

2. 3 times 1500 is 4500.

3. Add 4500 and the starting amount.

Answer:

15 2/3

Step-by-step explanation:

[tex]5\frac{2}{3} + 2 \frac{2}{3} = 8[/tex]

[tex]8 + 2 \frac{2}{3} + 5[/tex]

[tex]10 \frac{2}{3} + 5 = 15 \frac{2}{3} [/tex]

[tex]15 \frac{2}{3} [/tex]

Answer:

15 2/3

Step-by-step explanation:

[tex]18*(7*(-3))=18*7+18*(-3)\\18*-21=126 - 54\\-378 \neq 72[/tex]

LHS [tex]\neq[/tex] RHS

Answer :

To verify an equation, we need to see if the LHS = RHS.

Equation [tex]\downarrow[/tex]

[tex]18\times(7\times(-3))=18\times7+18\times(-3)[/tex]

Let's solve the left hand side (LHS) first.

[tex]18\times(7\times(-3))\\= 18 \times (-21)\\=\underline{ -378}[/tex]

Now, let's solve the right hand side (RHS).

[tex]18\times7+18\times(-3)\\= 126 - 54\\=\underline {72}[/tex]

But,

[tex]\boxed{-378 \neq 72}[/tex]

We can see that the LHS doesn't match or isn't equal to the RHS.

Hence, we can say that LHS [tex]\neq[/tex] RHS & the  equation is NOT true.

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

Answer:

[tex]y=2(x-2.5)^2-1.5[/tex]

Step-by-step explanation:

[tex]y=2x^2-10x+11[/tex]

Factor highest common numerical factor of the first two terms:

[tex]y=2(x^2-5x)+11[/tex]

Add [tex](\frac{-5}{2})^2[/tex] inside the parentheses and subtract [tex]2(\frac{-5}{2})^2[/tex]:

[tex]y=2(x^2-5x+6.25)+11-12.5[/tex]

[tex]y=2(x^2-5x+6.25)-1.5[/tex]

Factor parentheses:

[tex]y=2(x-2.5)^2-1.5[/tex]

Compare to vertex form of parabola

Vertex at (2.5,-1.5)

Answer:

Rent

Step-by-step explanation:

When someone wants to buy something for a specific time without keeping it permanently, they rent it. Like a hotel, you rent a hotel for a certain number of nights, you do not stay there forever. When you buy something, you keep it forever, like buying a toy, it's your's and no one can rightfully take it from you. To lease something is to let someone rent the item you are leasing, so when they pay rent, you get paid.

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Answer:

C

Step-by-step explanation:

250÷60×45=187.5

Answer is C.

[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \underset{\stackrel{\uparrow }{\textit{let's use this one}}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\log_4(x+10)-\log_4(x-2)=\log_4(x)\implies \log_4\left( \cfrac{x+10}{x-2} \right)=\log_4(x) \\\\\\ \stackrel{\textit{exponentializing both sides}}{4^{\log_4\left( \frac{x+10}{x-2} \right)}=4^{\log_4(x)}}\implies \cfrac{x+10}{x-2}=x\implies x+10=x^2-2x \\\\\\ 10=x^2-3x\implies 0=x^2-3x-10 \\\\\\ 0=(x-5)(x+2)\implies x= \begin{cases} 5~~\checkmark\\ -2 \end{cases}[/tex]

notice, -2 is a valid value for the quadratic, however, the argument value for a logarithm can never 0 or less, it has to be always greater than 0, so for the logarithmic expression with (x-2), using x = -2 will give us a negative value, so -2 is no dice.

Answer:

[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]

Step-by-step explanation:

Formula ………………………………………………………………………

The equation of a circle with center (a , b) and radius r is :

[tex]\left( x-a\right)^{2} +\left( y-b\right)^{2} =r^{2}[/tex]

===================

Now ,let’s apply what we have learnt:

The equation of the circle with center (a , b) = (2 , 6) and radius r = 2√3 is :

[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =\left( 2\sqrt{3} \right)^{2}[/tex]

[tex]\Longleftrightarrow \left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]

[tex]\text{Note :} \left( 2\sqrt{3} \right)^{2} =2^{2}\times \sqrt{3}^{2} =4\times3=12[/tex]

Step-by-step explanation:

first of all, remember. when dividing by a fraction, this is the same as multiplying by the upside-down fraction.

and all these signs (including the fraction sign) stand for divisions and really do the same thing and can be exchanged with each other : "/", "÷", ":"

and when writing a number like 4 1/2, it is a shortcut and means actually (4 + 1/2).

so,

4 1/2 ÷ 1/2 = 4 1/2 × 2/1 = 4 1/2 × 2 = (8/2 + 1/2)×2 =

= 9/2 × 2 = 18/2 = 9

Step-by-step explanation:

G(x) = - x^2 + 10x

a + G(a) = a - a^2 + 10a = - a^2 + 11a or 11a - a^2 or a(11 - a)

1/G(a) = 1/(10a - a^2) = 1/a(10 - a)

Answer:

2 , 3 , 5 , 5

Step-by-step explanation:

Prime numbers are numbers that are only divisible by itself and 1.

Divide 150 by primes:

150/2 = 75

75/3 = 25

25/5 = 5

Your prime factorization will be: 2 , 3 , 5 , 5.

Check:

2 * 3 * 5 * 5

= 6 * 25

= 150

~

Answer:

25 pages

Step-by-step explanation:

60 minutes in 1 hour. 60/12=5  5 x 5 =25

If the given function is f(x)=x², the value of g(x) will be (3x)².

Each value in the domain is connected to exactly one value in the range according to the function, which is described as a specific form of relationship. They have a predetermined range and domain.

It is given that the coordinate values on the graph g (x) are (1, 9).

Now, For the given function,

g (x) = (3x)²

At point (1, 9)

g (1) = (3(1))²

g(1) = 3²

g( 1) = 9

Since, g(x) = (3x)² satisfies the given coordinate values it will be the obtained result.

Thus, the obtained function will be g(x)= (3x)².

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Answer:

200 ft per min.

Step-by-step explanation:

So this is asking if so and so can walk 3000 ft in 15 min, how many ft can they walk in 1 min.

So just divide the 3000 and 15 by 15.

So 200 over 1.

Answer:

Step-by-step explanation:

Remark

The hyperbola opens to the left. That means that if you take ruler and apply it so it sits vertically in the middle of the hyperbola and draw a straight line, the line will go through 2 points.

What that means is that there is 1 x value and 2 y values - one above the x axis and one below.

Answer

This is NOT a function

Answer: 1 4/5 pounds is equal to 28.8 ounces

Step-by-step explanation:

1 pound is equal to 16 ounces.

Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. The solid could be a Triangular prism or a pyramid.

Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. Solid Geometry is the study of the characteristics, volume, and surface area of three-dimensional forms.

Given a solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross-section in the shape of a triangle. Therefore, the solid could be a Triangular prism or a pyramid.

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Answer: right cone because if you use a right cone and cut it perpendicular to the base you get a triangle making cone triangle the answer.

Answer:

(a) √25 rational

(b) √30 irrational

Step-by-step explanation:

Note : only perfect squares have rational roots

25 = 5² then 25 is a perfect square

            therefore √25 = 5 is a rational number

30 cannot be written in the form a² where ‘a’ I start a natural number then 30 is not a perfect square

           Therefore √30 is irrational.

Answer: 22

Step-by-step explanation:

By the corresponding angles theorem, [tex]5x-16=2x+50 \longrightarrow x=\boxed{22}[/tex]

Answer:

( -4 , 3 )

Step-by-step explanation:

Knowing that "y" is the line going up and down and "x' is the line going left to right.

Quadrant | = ( + , + )

Quadrant || =  ( - , +)

Quadrant ||| = (- , - )

Quadrant |v = ( + , - )

Refer to image below if needed.

Hence, from the given we can conclude the following:

Quadrant || =  ( - , +)

( x , y )

x = -4

y = 3

Thus, we have:

( -4 , 3 )

Therefore, the correct answer is ( -4 , 3 )

Kavinsky

Answer:

Step-by-step explanation:

The location on point B is quadrant II.

But what do we not know?

So, lets find it in the most simple way:

Now, you are at point B.

In the explanation, the coordinates for x and y are right in my explanation. Read it carefully and find the coordinates:

Now, lets pair that together:

You have found the coordinates!

[tex]\boxed{\bold{a_n = a_{n-1} -0.8}}[/tex]

Sequence: 1.2, 0.4, -0.4, – 1.2, -2,...

See that with every next term, the integers are decreasing by 0.8

recursive formula : [tex]\sf a_n = a_{n-1} +d[/tex]

[tex]\bold a_1 = 1.2,[/tex] [tex]\sf a_n = a_{n-1} + (-0.8)[/tex]

Answer:

root 25

Step-by-step explanation:

root 25 is 5, and every other number may not be able to be written as a whole number (please give brainliest)

Answer:

D) √(25)

Step-by-step explanation:

√(25) is a rational number because it is a perfect square of 5.

Answer:

it's 44. something

it has something to do with the part circle it's a 180%

Answer: 26.93 square inches

Step-by-step explanation:

first let us find the area of the rectangle shape

rectangle area = length times width

rectangle area = 2 times 11

rectangle area = 22 inches

now let us do the half circle area

half circle area = 1/2(πr^2)

half circle area ~ 1/2 times 3.14(1)^2

half circle area ~ 1/2 times 3.14^2

half circle area ~ 1/2 times 9.8596

half circle area ~ 4.9298

now let’s add the half circle area and the rectangle area to get our total area

total area ~ 4.9298 + 22

total area ~ 26.9298

total area ~ 26.93

26.93 square inches is the total area rounded to the nearest hundredth.