Find the area of the trapezoid

Answer:

Answer is 2^2x+6=2^6 since it is equivalent to 4^x+3=64

The equivalent equation of  [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.

The given equation is [tex]4^x^+^3=64[/tex]

Four to the power of x plus three equal to sixty four

x is the variable in the equation

We have to find the equivalent equation

We know that 2×2×2× 2×2×2 , 2⁶=64

[tex]4^x^+^3=2^6[/tex]

Now [tex](2^2)^x^+^3=2^6[/tex]

[tex]2^6^x^+^6=2^6[/tex]

Hence, the equivalent equation of  [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.

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Answer:

See below ~

Step-by-step explanation:

Based on the graph,

   2. f(4)

   3. x when f(x) = 5

   4. x when f(x) = -3

The value of two plums and a peanut, divided by a grape and a peanut is 11

The given parameters are:

Substitute Grape = 2  in Acorn + 3 grapes = 14

Acorn + 3 *2  = 14

Acorn + 6  = 14

Subtract 6 from both sides

Acorn  = 8

Substitute Acorn  = 8 in Acorn = 1/2 Plum

8 = 1/2 Plum

Multiply both sides by 2

Plum = 16

So, we have:

Peanut = 1

Grape = 2

Acorn  = 8

Plum = 16

The value of two plums and a peanut, divided by a grape and a peanut is:

(2 plums + peanut)/(grape + peanut)

This gives

(2 * 16 + 1)/(2+ 1)

Evaluate

11

Hence, the value of two plums and a peanut, divided by a grape and a peanut is 11

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The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units

Using Pythagoras theorem the value of x can be found as follows:

c² = a² + b²

where

Therefore,

8² = x² + x²

64 = 2x²

x² = 64 / 2

x = √32

x = 5.65685424949

x = 5.7 units

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Answer: 5.7 units

Step-by-step explanation:

Step-by-step explanation:

100% = $8.00

1% = 100%/100 = 8/100 = $0.08

the price went up by $8.48 - $8.00 = $0.48.

how many % is this ?

as many % as 1% fits into this difference :

0.48 / 0.08 = 6%

the price increase was 6%.

Answer:

Angle MBR = 31°

y = 14

Step-by-step explanation:

There is a tiny red square in angle MBH that means it is a right angle. Right angles are 90°. So the 59° angle and the angle marked (y+17)° together make a 90° angle. That helps us write an equation.

59 + y + 17 = 90

add.

76 + y = 90

subtract 76.

y = 14

Then you can find Angle MBR:

y + 17

= 14 + 17

= 31

Alternatively, you could find MBR first and then find y. It comes out the same either way.

The area of the rhombus is 24 square units.

This has to do with the quadrilateral that each side are of the same length.

Given the data:

Length WY is 3 - (-5) = 8 units.

Length XZ is 4 - (-2) = 6 units.

Hence, the area of the rhombus WXYZ is 1/2 of the diagonal length:

1/2 * 8 * 6

= 24 square units.

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Answer:

A

Step-by-step explanation:

Answer:

f(x)=16+ 4x
the constant rate would be 4

Step-by-step explanation:

Answer: y=4x+16

Step-by-step explanation:

Answer:

P': (5,3)

Q': (10,3)

R': (3,10)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The radius of circle 2 is bigger than circle one, so the diameter will be bigger too.

The circumference of the circle 1 is less than the circumference of the circle 2.

Circumference is "a distance around the circle".

According to the question,

The area of the circle 1 is 6π and the area of the circle 2 is 7π.

Area of the circle = π.r²

Radius of the circle 1 is less than the radius of the circle 2 this implies diameter of the circle 2 is greater than diameter of the circle 1.

Hence, the circumference of the circle 1 is less than the circumference of the circle 2.

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Answer:

f(x) = (x+5)^2-1

Step-by-step explanation:

Answer:

2xa(5x^2 + 3a).

Step-by-step explanation:

We are factorising:-

Divide the left side by 2xa and place the result in the parentheses:

10x^3a+6xa^2 = 2xa(5x^2 + 3a )

Answer:

2xa(5x² +3a-1)

Step-by-step explanation:

10x³a+ 6xa²-2xa=2xa-2xa

10x³a+ 6xa²-2xa=0

Factor 10x³a+ 6xa²-2xa:

2ax(5x² + 3a -1)

Answer:

2/3 or .66 repeated

Step-by-step explanation:

1 1/3= 1.33

1.33 + .66..7 is 2

Answer:

[tex]\huge\boxed{\sf x = \frac{2}{3}}[/tex]

Step-by-step explanation:

Let the number be x

Given condition:

[tex]\displaystyle 1 \frac{1}{3} +x=2\\\\Subtract\ 1\frac{1}{3} \ to \ both \ sides\\\\x = 2-1\frac{1}{3} \\\\x = \frac{2 \times 3}{1 \times 3} - \frac{4}{3} \\\\x = \frac{6}{3} - \frac{4}{3} \\\\x=\frac{6-4}{3} \\\\\boxed{x = \frac{2}{3}} \\\\\rule[225]{225}{2}[/tex]

Answer:

Option C

Step-by-step explanation:

See here the net seems like a equilateral triangle

Hence option C

Answer:

320

Step-by-step explanation:

20*2 = 40

360 - 40 = 320

the answer is A 47

Step-by-step explanation:

48+24÷8-2²

48+3-2²

48+3-4

=47

hope it helps!

Answer:

-6.4

Step-by-step explanation:

√2(√3×2 - √1×8) = -6.41472901342

Round to the nearest tenth = -6.4

Answer:

B

Step-by-step explanation:

1,2  2,3  1,6  1,9  3,10  2,11  1,13  3,15  3,16  2,17

x,y

x= how many goals they made were the same

y= the actual number of soccer goals

(This is just how I organized how to make the chart)

Answer:

x= 96

Step-by-step explanation:

I know this is might not be the best reasoning, but if 56+40=96, then the other consecutive angle should be 96 degrees by the Consecutive Interior Angles theorem.

Answer: Hello! Hope this helps.

Step-by-step explanation: 6 - 7x/2

So its the first answer.

Answer:

c=9.5 centimeters

Step-by-step explanation:

a^2+b^2=c^2

9^2+3^2=c^2

90=c^2

c=[tex]\sqrt{90}[/tex]

c=9.487

c=9.5

Data set T has strong linear relationship as it is a perfect positive correlation

A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.

In other words, it reflects how similar the measurements of two or more variables are across a dataset.

When one variable changes, the other variables change in the same direction or opposite direction.

Perfect positive correlation :When one variable changes, the other variables change in the same direction.

Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.

Part A &B  : Data set T has strong linear relationship as it is a perfect positive correlation

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Answer:

8 inches.

Step-by-step explanation:

3 1/4 + 4 3/4

= 3 + 4 + 1/4 + 3/4

= 7 + 4/4

= 7 + 1

= 8 inches.

Answer:

The child grew 8 inches

Step-by-step explanation:

Step 1:  Convert to improper fractions

[tex]3\frac{1}{4}[/tex]

[tex]\frac{1+(3*4)}{4}[/tex]

[tex]\frac{1+12}{4}[/tex]

[tex]\frac{13}{4}[/tex]

[tex]4\frac{3}{4}[/tex]

[tex]\frac{3+(4*4)}{4}[/tex]

[tex]\frac{3+16}{4}[/tex]

[tex]\frac{19}{4}[/tex]

Step 2:  Combine the fractions

[tex]\frac{13}{4}+\frac{19}{4}[/tex]

[tex]\frac{13+19}{4}[/tex]

[tex]\frac{32}{4}[/tex]

[tex]8[/tex]

Answer:  The child grew 8 inches

Answer:

$3087.35

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the equation and solving for A:

[tex]\begin{aligned}\sf A & =\sf P \left(1+\frac{r}{n}\right)^{nt}\\\\\implies \sf A & = \sf 1500\left(1+\frac{0.062}{1}\right)^{1 \times 12}\\\\& = \sf 1500(1.062)^{12}\\\\& = \sf \$ 3087.35 \: (nearest\:cent)\end{aligned}[/tex]

Answer:

Explain your answer C) 1 and 5

Answer:

42 square feet

Step-by-step explanation:

10 ×3= 30

4×3=12 divided by two =6 ×2= 12

(multiply because there are two triangular ends)

12+30=42

Answer

Step-by-step explanation:

easy

Answer:

3349.5 [tex]cm^{3}[/tex]

Step-by-step explanation:

see image