Choose the correct correspondence
E <->
Options
1.R
2.K
3.O

Answer:

I think the answer is 6.

Step-by-step explanation:

Since the box is 1 foot deep and the cubes are 1 foot, they must sit side by side instead of being stacked up. Therefore you multiply length by width 2x3 and you get 6.

Answer:

B  1/3

Step-by-step explanation:

3^-3 * 3^8

----------------------

3^6

We know that a^b * a^c = a^(b+c)

3^(-3+8)

----------------------

3^6

3^(5)

----------------------

3^6

We know that a^b divide by a^c = a^(b-c)

3^(5-6)

3^-1

A negative exponent means it goes in the denominator of the fraction

1/3^1

1/3

Answer:

[tex]\large\boxed{(f+g)(x)=x^2+3x-3}[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=3x-5,\ g(x)=x^2+2\\\\\text{Substitute:}\\\\(f+g)(x)=(3x-5)+(x^2+2)=3x-5+x^2+2=x^2+3x+(-5+2)=x^2+3x-3[/tex]

Final answer:

To find (f+g)(x) for the given functions f(x)=3x-5 and g(x)=x²+2, you simply add the two functions to get (f+g)(x) = x²+ 3x - 3.

Explanation:

Adding Functions f(x) and g(x)

To find (f+g)(x), you simply need to add the values of f(x) and g(x) together for any value of x. Given that f(x)=3x-5 and g(x)=x²+2, the sum (f+g)(x) is obtained as follows:

Take the expression for f(x) and g(x):

f(x) = 3x - 5

g(x) = x² + 2

Add the two expressions together:

(f+g)(x) = f(x) + g(x)

(f+g)(x) = (3x - 5) + (x² + 2)

Combine like terms:

(f+g)(x) = x² + 3x - 3

The resulting function (f+g)(x) = x² + 3x - 3 is the sum of the two functions f(x) and g(x).

Some factoring lets us write

[tex]a^{2b}-\dfrac1{a^b}=a^{2b}-a^{-b}=a^{-b}(a^{3b}-1)[/tex]

Then

[tex]8a^{3b}=1\implies a^{3b}=\dfrac18[/tex]

[tex]a^{2b}-\dfrac1{a^b}=a^{-b}\left(\dfrac18-1\right)=-\dfrac78a^{-b}=-\dfrac7{8a^b}[/tex]

Taking the cube root to solve for [tex]b[/tex], we find

[tex]\sqrt[3]{a^{3b}}=\sqrt[3]{\dfrac18}\implies a^b=\dfrac12[/tex]

so ultimately

[tex]a^{2b}-\dfrac1{a^b}=-\dfrac7{8\cdot\frac12}=-\dfrac74[/tex]

Answer:

The value of the given expression is    1 - 1 = 0

Step-by-step explanation:

8a^{3b} = 1   can be rewritten as (8a³)^b = 1 = (8a³)^0, which indicates that b = 0.  If b= 0, then 2b = 2(0) = 0.

Then a^(2b) = a^0 = 1, and 1/a^b = 1/1 = 1.

Thus, the value of the given expression is    1 - 1 = 0

Answer:

36 pages

Step-by-step explanation:

divide 24 by 30=0.8 and multiply 0.8x45.

Answer:

36

Step-by-step explanation:

Answer:

it is already fikled ok

Step-by-step explanation:

Answer:

C.  3, -7

Step-by-step explanation:

x^2 +4x-21 =0

Factor

What 2 numbers multiply to -21 and add to 4

7*-3 = -21

7-3 = 4

(x+7) (x-3) =0

Using the zero product property

x+7 =0       x-3=0

x+7-7=0-7     x-3+3=0+3

x = -7            x=3

Answer:

Step-by-step explanation:

[tex]x^2+4x-21=0\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x+7)(x-3)=0\iff x+7=0\ \vee\ x-3=0\\\\x+7=0\qquad\text{subtract 7 from both sides}\\x=-7\\\\x-3=0\qquad\text{add 3 to both sides}\\x=3[/tex]

Answer:

see explanation

Step-by-step explanation:

given

x + 4 > - 8 ( subtract 4 from both sides )

x > - 12 ← solution

The step to use is subtract 4 from both sides

The value of x is -12

x + 4 > -8

Subtract 4 from both sides

x + 4 -4 > -8 -4

x > -12

Answer:

B. 990<s<1,850

seal dive, s is greater than 990ft and less than 1850 ft

=》 990<s<1850

Answer:

Domain: All Real Numbers

Range: All Real Numbers

Step-by-step explanation:

F is

F = {(x, y ) | x + y = 10}

(x,y) is the ordered pair

x + y = 10  is the expression

We can rearrange it

y = 10 - x

And then we can plot it using a graphing calculator. See attached image

By looking at the plot and examining the expression, we can see that there are no restrictions over x or y.

This means that the domain and range are all real numbers

Domain: All Real Numbers

Range: All Real Numbers

F is a function because it is a relation that associates each element x to a single element y.

Answer:

$4.60

Step-by-step explanation:

The customer will pay $0.80 per pound.  They are buying 5 and 3/4 pounds of nails, so they will pay..

$0.80(5) + $0.80(3/4) for the nails...now simplify...

$4.00 + $0.60 = $4.60

Answer:

You charge 4.6 cents the customer for nails.

Step-by-step explanation:

Given :The hardware store where you work charges .80 cents including tax for a pound of nails.

To Find : A customer purchases [tex]5\frac{3}{4}[/tex] pounds of nails. how much should you charge the customer for nails?

Solution:

Cost of 1 pound of nails including tax = 0.80 cents

Cost of  [tex]5\frac{3}{4}[/tex] pounds of nails:

=[tex]0.80 \times 5\frac{3}{4}[/tex]

=[tex]0.80 \times \frac{23}{4}[/tex]

=[tex]4.6[/tex]

Hence you charge 4.6 cents the customer for nails.

if triangles are similar then corresponding internal angles are equal

=》 x = 180-(50+60) = 70degrees

The measure of angle x is the same as the measure of angle c which is,

x = 70°

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know triangles that are similar to each other have equal measures of corresponding angles.

Given, ΔABC ≈ ΔEDF,

Therefore, m∠B = m∠E = 50° and m∠D = m∠A = 60.

So, The measure of angle x is,

x = 180 - 50 - 60. (sum of interior angles equals 180°)

x = 180 - 110.

x = 70°.

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Answer:

TRUE

Step-by-step explanation:

The center is visible

Answer:

it would depend on how big the circle would have to be in this case it would be true I believe

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A, because just read the three letters in any order but with the origin in the middle

(a) ; 14:8

(b) ; 8:6

Answer:

a = 14:8

b = 8:6

Step-by-step explanation:

----

First divide 1/4=0.25 and then multiply 0.25 bu 100% so the result is 25%

For the dumonitor remember that 4 x 25 is 100.

Our Multiple is 100.

So that means we need to multiply 1 and 4 by 25.

1×25 = 25 so our top number is 25.

4x25 is 100 which would be our bottom number.

We end up with 25/100.

That as a percent would be [tex]\fbox{25percent}[/tex] / 25%

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Answer:

It graph A I'm here to help not give the wrong answer.Trust me ik how it feels

The answer choice which matches the graph we drew is Option (A)

In mathematics, inequality is a statement of an order relationship that can be greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Coordinate axes is the graph of the X and Y axis . A straight line can be plot in the coordinate axes plane by identifying its slope and the value of its y-intercept.

Given equation of straight line is y + 2 < 1/4x - 1

We solve the inequality in standard form of equation of straight line,

y < 1/4x - 3 , where slope is 1/4 and y-intercept is 3 when comparing with y = mx + c.

From the four graphs given in the Option, each and every graph has a slope of 1/4 and a y-intercept of -3 .

In Option (A) the portion indicating in the graph is the region which is less than -3 . Also from the equation, y < 1/4x - 3 we can see that the variation of the curve will always be less than -3 and it will also be a straight line and not a dotted line.

So the graph of Option(A) satisfies the straight line and inequality.

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Answer:

[tex]y + 1 = -\frac{5}{6}(x-6)[/tex]

or

[tex]y = -\frac{5}{6}x +4[/tex]

Step-by-step explanation:

Parallel lines are lines which have the same slope. To write the equation of the line parallel, find the slope of the equation 5x + 6y = 6 through conversion into slope intercept form.

5x + 6y = 6 becomes y = -5/6x + 1. The slope is -5/6.

Substitute\ m =-5/6 and the point (6,-1) into the slope intercept form.

[tex]y-y_1=m(x-x_1)\\y --1 = -\frac{5}{6}(x - 6)\\y + 1 = -\frac{5}{6}(x-6)[/tex]

Convert the equation to slope intercept form by applying the distributive property.

[tex]y + 1 = -\frac{5}{6}(x-6)\\y + 1 = -\frac{5}{6}x +5\\y = -\frac{5}{6}x +5-1\\y = -\frac{5}{6}x +4[/tex]

Answer:

x = -5      

x=1

Step-by-step explanation:

f(x) = 1/3 (x+5) (x-1)

We want to find the zero's so set f(x) = 0

0 = 1/3 (x+5) (x-1)

Using the zero product property

x+5 = 0   x-1 =0

x+5-5 = 0-5      x-1+1 = 0+1

x = -5                  x=1

Answer:

x = -5, 1

Step-by-step explanation:

first you want to set both parenthesised equations to zero --

x + 5 = 0        x - 1 = 0

then just solve the one step equations--

x + 5 = 0      x - 1 = 0

  -5     -5        +1     +1

x = -5           x = 1

and you can leave the 1/3 alone (it actually has nothing to do with the zero product property)

hope this helps!!

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25         multiply this equation by 6

12*P + 4D = 39.00

12P + 18D = 133.5          Subtract these two equations

- 14D = - 94.50               Divide by -14

-14D/-14 = -94.5/-14        Do the division

D = 6.75

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

12P  +  4D = 39            Substitute for D

12P + 4*6.75 = 39        Combine

12P + 27 = 39               Subtract 27 from both sides

12P + 27-27=39-27      Collect like terms

12P = 12                        Divide by 12

12P/12 = 12/12

P = 1                               Answer

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Divide the coordinates of the dilation by the original coordinates

(8)

[tex]\frac{6}{9}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]

(9)

[tex]\frac{12}{10}[/tex] = [tex]\frac{-8}{-15}[/tex] = [tex]\frac{6}{5}[/tex]

(10)

[tex]\frac{-9}{-1}[/tex] = 9

Answer:

the printer prints 8.5 pgs per minute

Step-by-step explanation:

34 ÷ 4 = 8.5

There are 3.4 pages does it print per minutes.

The unitary method is a fundamental concept of Mathematics and makes it convenient to solve various sums.

Let, x be the number of prints print per minute.

A printer prints 34 pages in 4 minutes. How many pages does it print per minutes?

The number of pages prints per minute is given by;

[tex]\rm Per \ minute \ print \ Pages=\dfrac{Total \ number \ of \ print \ pages}{Print \ in \ minutes}\\\\ Per \ minute \ print \ Pages=\dfrac{34}{4}\\\\ Per \ minute \ print \ Pages=8.5[/tex]

Hence, there are 3.4 pages does it print per minutes.

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Answer:

Option B:  g(x) = −5x + 8

Step-by-step explanation:

If we have a function f(x) and wish to make a function g (x) that is equal to the reflection of the function f(x) on the y-axis, then we must make the following transformation to f(x):

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

In this case:

[tex]f(x) = 5x +8[/tex].

So when applying the transformation we obtain:

[tex]g(x) = f(-x) = 5(-x) + 8[/tex]

Finally we have that

[tex]g(x) = -5x +8[/tex]

Answer:

Your answer would be: B

Step-by-step explanation:

The radius of the ring is 1 meter.

Given a ring of fire has a diameter of 2 meters for which a leopard has been trained to jump through.

As we know that in a circle that has a diameter 'd', the radius 'r' is equal to half of the diameter. This means,

[tex]r = \frac{d}{2}[/tex]

Also, the perimeter of this circle is given by

[tex]2\pi r[/tex]

Now,

As given in the question, we have,

The diameter of the ring of fire = 2 meters

So,

The radius of a ring of fire

[tex]= \frac{2}{2}[/tex]

[tex]= 1 meter[/tex]

Hence, the radius of the ring of fire is 1 meter.

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The radius of a circle with a diameter of 2 meters is 1 meter. The radius is found by dividing the diameter by two.

The question pertains to determining the radius of a circle when the diameter is given. The ring through which a leopard jumps in the circus has a diameter of 2 meters.

The formula for the diameter of a circle is d = 2r, where d is the diameter and r is the radius of the circle. To find the radius, we simply divide the diameter by 2.

Therefore, the radius of the ring is 1 meter, as r = d / 2 and thus, r = 2 meters / 2.

Answer:

The answer is (A) ⇒ G(x) = 7(-x)³

Step-by-step explanation:

* In transformation:

- Reflecting across the y-axis means change the sign of x-coordinate

- Stretch vertically means multiply f(x) by constant k, where k > 1

∵ F(x) = x³

- At first we reflect it across the y-axis

∴ We must change the sign of x to -x

∴ F(x) = (-x)³

- At second we stretch it vertically by constant 7

∴ We multiply F(x) by 7

∴ F(x) = 7(-x)³

∴ The answer is (A) ⇒ G(x) = 7(-x)³

In the graph the red is F(x) , the blue is G(x)

Answer:

that answer is false

Step-by-step explanation:

Answer:

3520

Step-by-step explanation:

V(cylinder) = PR(squared)H

8 squared is 64pi

times 55 is 3520

Answer:

11058 m³

Step-by-step explanation:

This is a slanted cylinder.  The volume is V = (area of base) (height), just as in the case of upright cylinders.

Here, V = πr²·h.  Subbing the givens,

          V = π(8 m)²·(55 m) = 11058 m³ is the volume of this building.  I have                   rounded this result off to the nearest 1 m³.

Answer: 2/5y

Step-by-step explanation:

[tex]\frac{8x^{2}y^{2} }{10x^{2}2y^{3}} = \frac{(2)(2)(2)xxyy}{(5)(2)(2)xxyyy}[/tex]

remove common factors on top and bottom

= 2/5y

A fraction lesser than 3/4 is 1/2

A fraction a part of a whole number can be written in a way such that the upper part is the numerator and the lower part is the denominator and these two are separated by a division line.

From the information given;

The fraction 3/4 can be written as [tex]\mathbf{\dfrac{3}{4}}[/tex], in decimal value, it is 0.75.

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Fractions less than 3/4 have a numerator to a denominator ratio that equals a number less than 0.75. Examples of such fractions are 1/2 and 2/3.

To determine which fraction is less than 3/4, it's important to remember that a fraction represents a division: the numerator (upper number) divided by the denominator (lower number). Fractions that are less than 3/4 have a ratio of the numerator to the denominator that results in a number less than 0.75, which is the decimal equivalent of 3/4.

For example, the fraction 1/2 is less than 3/4, because 1 divided by 2 equals 0.5, and 0.5 is less than 0.75. Similarly, the fraction 2/3 is less than 3/4, because 2 divided by 3 equals approximately 0.67, and 0.67 is again less than 0.75. Knowing the division values, even approximately, can help you quickly figure out if a fraction is less than or greater than another one.

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Answer:   261.5 in²

Step-by-step explanation:

Separate the image into three shapes:

Top (Trapezoid):

[tex]A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\ =\dfrac{9+(4+6+4)}{2}\cdot 5\\\\\\.\ =\dfrac{23}{2}\cdot 5\\\\\\.\ =\dfrac{115}{2}\\\\\\.\ =\boxed{57.5}[/tex]

Middle (Rectangle):

[tex]A=L\times w\\.\ =6\times 10\\.\ =\boxed{60}[/tex]

Bottom (Rectangle):

[tex]A=L\times w\\.\ =18\times 8\\.\ =\boxed{144}[/tex]

[tex]Area_{\ image}=Area_{\ Top}+Area_{\ Middle}+Area_{\ Bottom}\\.\qquad\qquad=57.5+60+144\\.\qquad\qquad=\large{261.5}[/tex]