Which expression is equivalent to 16^3?
6^7
2^11
2^12
2^64

Answer:

16 cm

Step-by-step explanation:

V= 128 cm³

b= 8 cm²

V= bh

h= V/b= 128/8= 16 cm

Answer:

solution

[tex]let \: height \: be \: h \: cm \\ volume \: of \: rectangular \: prism \\ = > \: \: 128 = l \times b \times h \\ area \: of \: base = l \times b \\ = > 8 = l \times b \\ now \\ 128 = 8 \times h \\ \\ or \: h = \frac{128}{8} \\ h = 16 \: cm[/tex]

hope this helps....

Answer:

[tex]\frac{3(\sqrt{3} -\sqrt{x})}{3-x}[/tex] or [tex]\frac{3\sqrt{3}-3\sqrt{x} }{3-x}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{9} }{\sqrt{3} +\sqrt{x} }[/tex]

[tex]\frac{3}{\sqrt{3}+\sqrt{x} }[/tex]

Multiply by the opposite by using the difference of squares converse formula.

[tex]\frac{3}{\sqrt{3} +\sqrt{x} } *\frac{\sqrt{3} -\sqrt{x}}{\sqrt{3} -\sqrt{x}}[/tex]

[tex]\frac{3(\sqrt{3} -\sqrt{x})}{3-x}[/tex]

[tex]\frac{3\sqrt{3}-3\sqrt{x} }{3-x}[/tex]

Answer:

3 sqrt(3) - 3 sqrt(x)

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

3  - x

Step-by-step explanation:

sqrt(9) = 3

so writing the expression as

3

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

sqrt(3) + sqrt(x)

Multiply by the conjugate, sqrt(3) - sqrt(x) in the numerator and denominator

3                            sqrt(3) - sqrt(x)

-------------------- * ------------------

sqrt(3) + sqrt(x)    sqrt(3) - sqrt(x)

Foil the denominator

3 sqrt(3) - 3 sqrt(x)

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

sqrt(3) sqrt(3) + sqrt(3x) - sqrt(3x) - sqrt(x^2)

Simplify

3 sqrt(3) - 3 sqrt(x)

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

3  - x

Answer:

x = 2

y = 1

z = 3

Step-by-step explanation:

Okay, we know y=z-x.

Let's plug in that y-value into the first equation: x + 2 (z - x) -z =1

Simplify that down to x +2z -2x -z = 1

Equation 1 becomes -x + z = 1

Let's plug it into equation 3 and solve to get: 2x - (z - x) +3z = 12

Equation 3 becomes 3x + 2z = 12

Now let's use system of equations for those two equations we just found

3x + 2z = 12

-2x + 2z = 2 ------> multiplied this by 2 to simplify

subtract, and you 5x = 10, x = 2

Use x = 2 and solve for the other variables using the same method (try this on your own!) to get y = 1 and z = 3

Answer:

73.72 ft Squared

Step-by-step explanation:

First you need to find the area of the rectangle the area of rectangle is 8x10=80. Then You take that 80=3.14x2. then you find the area by dividing it. so...

1.) 80=3.14x2

3.14x2=6.28       80=6.28              (Then you divide 6.28 by 80)

                             80    80                  

Answer:

e/4 = 2.5

e/ 4 × 4 = 2.5 × 4

e = 10

His mistake was in step 2 since

2.5 × 4 = 10

Hope this helps

Answer:

Slope = 32+5/-21+55

= 37 / 34

Hope this helps

Answer:

[tex](x-2)^2+(y+4)^2=34[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:

[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]

The equation of the circle is therefore:

[tex](x-2)^2+(y+4)^2=34[/tex]

Hope this helps!

Answer:

just try substituting t with the values given . the answer is B

Answer: A

Step-by-step explanation:

This is because  diagonals of a rhombus are perpendicular not congruent, ]

Pependicular means at an angle of 90°

If this helped please mark brainliest

Hey there! :)

Answer:

C(-1) = -5.

Step-by-step explanation:

C(x) = -4x² + 4x + 3

Plug in -1 for x to solve for C(-1):

C(-1) = -4(-1)² + 4(-1) + 3

Simplify:

C(-1) = -4 + (-4) + 3

C(-1) = -5

Answer:

C(-1)= -5

Step-by-step explanation:

This question asks us to find C(-1). We know what C(x) is, it is:

[tex]C(x)=-4x^{2} +4x+3[/tex]

Therefore, we must substitute -1 in for every x to find C(-1).

[tex]C(-1)=-4(-1)^{2} +4(-1)+3[/tex]

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, evaluate the exponent.

-1^2=-1*-1=1

[tex]C(-1)=-4(1) +4(-1)+3[/tex]

Next, multiply -4 and 1.

[tex]C(-1)=-4+4(-1)+3[/tex]

Multiply 4 and -1 again.

[tex]C(-1)=-4+ -4 + 3[/tex]

Add the numbers together.

[tex]C(-1)=-8+3[/tex]

[tex]C(-1)=-5[/tex]

Answer:

The graph shows 2 outliers. The scatter plot consist on a straight pattern. As seen, only 2 points are not within the straight line. We can conclude that only two points are outliers. =

Answer:

2

Step-by-step explanation:

Two points: (1,9) and (10,7)

Answer:

x=6

Step-by-step explanation:

x+y=48

x=y-6

substitute "y-6" instead of x

x+y=48

(y+6)+y=48

y+y is equal to y

6+y=48

-6     -6

y= 42

x= 48-y

x=48-42

x=6

I hope this helped

Answer:

Step-by-step explanation:

x  - the small number

x+6  - the big number

x + x + 6 = 48

2x + 6 = 48

  - 6       - 6

  2x  =  42

  ÷2       ÷2

    x = 21

Verifying:

x+6 = 21 + 6 = 27

21 + 27 = 48

Answer: 34.27 sq. mm.

Step-by-step explanation:

Area of a triangle = hb / 2

= 8 x 4 / 2

= 32 / 2 = 16 mm

Area of the circle = πr^2

= π x 4^2

= 50 27 sq. mm.

Area of the shaded part

= 50.27 - 16

= 34.27 sq. mm

Answer: the answer is c, 34.24 mm

Step-by-step explanation: I just did the test

Answer:

x = -3 and x= 3

Step-by-step explanation:

Answer:

the square root of 91 lies between 9 and 10

The value of the square root of 91 is 9.54 thus the two consecutive whole numbers 9.54 lie in between will be 9 and 10.

The number system is a way to represent or express numbers.

A decimal number is a widespread number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given square roots,√91

The value of √91 is 9.539

The whole number less than 9.539 is 9 and greater than 9.539 is 10.

Thus, 9 < 9.539 < 10

Hence "The value of the square root of 91 is 9.54 thus the two consecutive whole numbers 9.54 lie in between will be 9 and 10".

For more about the number system,

https://brainly.com/question/22046046

#SPJ5

Answer:

using the equation of the line y = mx + b

m= slope

b = y intercept

y= - 1.5x - 4 m = -1.5 b = -4

y = -3x + 4 m = -3 b = 4

y = 3x m = 3 b = 0

y = 1.5x - 7 m = 1.5 b = -7

y = 7 m = 0 b = 7

Hope this helps.

Answer:

y=3x goes with m=3, b=0

y=7 goes with m=0, b=7

y=-3x+4 goes with m=-3, b=4

y=1.5x-7 goes with m=1.5, b=-7

y=-1.5x-4 goes with m=-1.5, b=-4

Step-by-step explanation:

The b represents the y- intercept in a graph (where the line crosses the y axis). The m represents the slope of the line. You can find the slope by taking the rise of the graph and dividing it by the run (rise/run). If you get the numbers in the equation form y=mx+b, then you just take the information they give you out of the equation.

Answer:

4 pizzas = $9

1 pizza= $9 ÷ 4

= $2.25

12 pizzas = 12 × $2.25

= $ 27

Answer:

Choice D

Step-by-step explanation:

After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.

Answer: $500

Step-by-step explanation:

A deductible is the amount that an individual have to pay out of his or her pocket when the person make a claim.

From the question, we are told that Jeff rear-ended a car on his way to work and damaged his vehicle and then drove his car to the local body shop for an estimate of the cost to repair his car. We are told that Jeff has a $500 deductible and the local body shop gives an estimate of $3725.

From this information, Jeff has to pay only $500, and the insurance company will pay the remaining amount which is $3725 - $500 = $3225.

Jeff will pay $500

Answer:

x = 2±3sqrt(3)

Step-by-step explanation:

(x-2)^2/3=9

Multiply each side by 3

(x-2)^2/3 *3=9*3

(x-2)^2=27

Take the square root of each side

sqrt( (x-2)^2)=±sqrt(27)

x-2 = ±3sqrt(3)

Add 2 to each side

x = 2±3sqrt(3)

Answer:

create right angled triangles in the white space , four of them.

the red lines will then become your hypotenuse, then use Pythagoras to with out the length.

Answer:

1.) GET A SECURED CREDIT CARD

2.) GET A CREDIT-BUILDER LOAN OR A SECURED LOAN

3.) USE A CO-SIGNER

4.) BECOME AN AUTHORIZED USER

5.) GET CREDIT FOR THE BILLS YOU PAY

Answer:

2625

Step-by-step explanation:

First let's see all the possible combinations.

(Even=E, Odd= O)

1) EEEO

2) EEOE

3) EOEE

4) OEEE

5) EEEE

Now let's see what E and O possibly could be

E = 0, 2, 4, 5, 6 and 8 (5)

O = 1, 3, 5, 7, 9 (5)

Now we are just simply gonna multiply

1) EEEO = 4*5*5*5

2) EEOE = 4*5*5*5

3) EOEE = 4*5*5*5

4) OEEE = 5*5*5*5

5) EEEE = 4*5*5*5

The even contains a 0, so you can't put 0 in, so (5-1=4), there are only 4 digits for the even.

500 times 4 = 2000

5⁴ = 625

2000+625= 2625

Answer:

y = -2/5 or y = 1

Step-by-step explanation:

5y^2 - 2 = 3y

5y^2 - 3y - 2 = 0

(5y + 2)(y - 1)

5y + 2 = 0 or y - 1 = 0

5y = -2 or y = 1

y = -2/5 or y = 1

Answer:

y = -2/5 or y = 1

Step-by-step explanation:

5y²-2 = 3y

Add -3y on both sides

5y²- 3y -2 = 0

Factorize.

(5y + 2)(y-1) = 0

(5y+2) = 0

Subtract 2 on both sides.

5y = -2

Divide 5 into both sides.

y = -2/5

(y - 1) = 0

Add 1 on both sides.

y = 1

The sporting goods store receives the shipment of 124 golf bags in total.

Let us assume that the number of full-sized bags = X

Then the number of collapsible golf bags = 124 - X

Cost of each full sized bags = $38.50

Cost of each collapsible bags = $22.50

Total cost of the 124 bags received by the sporting goods store = $3430

Then

(38.50)X + (124 - X)22.50 = 3430

(38.50X - 22.50X) + 2790 = 3430

16X = 3430 - 2790

16X = 640

X = 640/16

  = 40

So the number of full-sized golf bags received = 40

Then the number of collapsible golf bags received = 124 - 40

                                                                                = 84

Answer:

115° and 245°

Step-by-step explanation:

Given

cos x = - 0.4226

Since cos x < 0 then x is an angle in the second / third quadrants, thus

x =  (0.4226) = 65° ← related acute angle , thus

x = 180° - 65° = 115° ← angle in second quadrant

x = 180° + 65° = 245° ← angle in third quadrant

Answer:

[tex]x=\{44\º, 317\º\}[/tex]

Step-by-step explanation:

The interval given is [tex](0, 360\º) \text{ or } (0, 2\pi)[/tex]

In exercises of this kind I usually use

[tex]\cos \left(x\right)=a\quad \Rightarrow \quad \:x=\arccos \left(a\right)+360\º n, n \in \mathbb{Z}[/tex]

[tex]\quad \:x=\arccos \left( 0.7252\right)+360\º n, n \in \mathbb{Z}[/tex]

And [tex]\arccos \left( 0.7252\right) \approx 43.5^{\circ \:}[/tex]

But once we have the solution for cos in two different quadrants, I mean, Quadrant I and Quadrant IV angle.

To the nearest degree, we have

[tex]x=\{44\º, 317\º\}[/tex]

Answer:

A) 272

Step-by-step explanation:

[tex]S_{n}=\frac{n}{2}*[2a + (n-1)d]\\\\s_{16}=\frac{16}{2}[2*2+15*2]\\\\ =8*[4+30]\\\\=8*34\\=272[/tex]

Answer:

272

Step-by-step explanation:

Answer:

The value of expression remains the same

Step-by-step explanation:

Let the given function be f(y), where

[tex]f(y) = \frac{3y}{2y}[/tex]

Lets put different values of y to finds its effect on the function

f(y) = 3y/2y

Let y = 1

f(1) = 3(1)/2(1) = 3/2

Let y = 2

f(2) = 3(2)/2(2) = 6/4 = 3/2

Let y = 3

f(3) = 3(3)/2(3) = 9/6 = 3/2

Let y = 10

f(4) = 3(10)/2(10) = 30/20 = 3/2

As we can see, no matter whatever value of y we put in the expression, the result is always the same i,e 3/2

Hence,

The value of expression remains the same

Answer:

90 / 6 = 15

You need 15 times more of the recipe

1 x 15 = 15 packets in total

15 - 0.2 = 14.8 packets needed

Hope this helps

Step-by-step explanation: