Write the following without the absolute value sign: |a^3|, if a<0

Answer:

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

Step-by-step explanation:

Answer: y=4x+16

Step-by-step explanation:

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:

P': (5,3)

Q': (10,3)

R': (3,10)

Step-by-step explanation:

Answer: 56.7%

Step-by-step explanation:

1) First we need to find the number of girls out of the class of 30:

30-13 = 17 -> 17 girls in the class

2) Then we can set up a part-whole equation like this (I don't know if this is how you learned it, I recommend searching up "part whole percent" if you're confused):

[tex]\frac{17}{30} \frac{x}{100}[/tex]      it follows this template: [tex]\frac{part}{whole} \frac{percent}{100}[/tex]

Since we're trying to find the percent and the problem gives us the rest of the info (by the way, that 100 will always stay there, it will never change)

3) Then we cross multiply

17 x 100 = 1700

1700/30 = 56.6666666

4) And since the answer has to be in the 1 decimal place, it would be 56.7

So that means approximately 56.7% of the class are girls

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

To know more about Correlation Coefficient

https://brainly.com/question/27226153

#SPJ1

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.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

x = 43

Step-by-step explanation:

the angle in the triangle is vertically opposite 47° and is congruent

the sum of the 3 angles in the triangle = 180° , then

90 + 47 + x = 180

137 + x = 180 ( subtract 137 from both sides )

x = 43

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.

Learn more about circumference here

https://brainly.com/question/15446091

#SPJ2

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:

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 equation of the circle is :  [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84

A circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same  point.

The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.

In conclusion, The equation of the circle is :  [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84

Learn more about equation of a circle: https://brainly.com/question/1506955

#SPJ1

Answer:

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

Step-by-step explanation:

see image

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.

Read more about area of a rhombus here:

https://brainly.com/question/2456096

#SPJ4

Answer:

A

Step-by-step explanation:

Answer: Hello! Hope this helps.

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

So its the first answer.

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

learn more on square here:https://brainly.com/question/12338379

#SPJ4

Answer: 5.7 units

Step-by-step explanation:

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]

Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The measure of the other leg of the triangle is 5.1961 units.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Let the length of the other leg can be represented by x.

Given the hypotenuse of a right triangle measures 6 cm and one of its legs measures 3 cm. Therefore, the measure of the other legs can be written as,

Hypotenuse² = 3² + x²

6² = 3² + x²

36 = 9 + x²

x² = 27

x = √27

x = 5.1961

Hence, the measure of the other leg of the triangle is 5.1961 units.

Learn more about Pythagoras' Theorem:

https://brainly.com/question/14461977

#SPJ1

Answer:

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

Step-by-step explanation:

the answer is A 47

Step-by-step explanation:

48+24÷8-2²

48+3-2²

48+3-4

=47

hope it helps!

Answer:

no graph un asnwerable

Step-by-step explanation:

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

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:

y = 96

Step-by-step explanation:

given that y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

to find k use the condition when y = 24 , x = 2 , then

24 = k × 2² = 4k ( divide both sides by 4 )

6 = k

y = 6x² ← equation of proportion

when x = 4 , then

y = 6 × 4² = 6 × 16 = 96

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.

A) factor f(x) are 3/5 and -1.

B) x-intercepts of the graph of f(x)  are (3/5, 0) and (-1, 0).

C)  The end behavior is explained by vertex of the graph which is (-0.2, -3.2)

D) The graph is symmetrical about x = -0.2. shown below

Factorizing is a way of writing an expression as a product of its factors using brackets.

Given function is : 5x² + 2x − 3

A)5x² + 2x − 3

= 5x² + 5x-3x − 3

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

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

So, factors will be 3/5 and -1.

B) f(x)= 5x² + 2x − 3

The x-intercepts are when f(x) = 0.

So, x-intercepts are (3/5, 0) and (-1, 0).

C) The x-coordinate of the vertex is the midpoint of the zeros.

 midpoint= (3/5-1)/2

                =-0.2

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

f(-0.2)= 5(-0.2)² + 2(-0.2) − 3

=-3.2

So, the end behavior is explained by vertex of the graph which is (-0.2, -3.2)

D) By plotting the zeroes and the vertex of the f(x).

The axis of symmetry is the x value of the vertex.

Thus,   the graph is symmetrical about x = -0.2.

Learn more about factorization here:

https://brainly.com/question/20293447

#SPJ1

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  most likely correlation coefficient for the set of data shown is: -0.21.

We would be using CORREL in excel to determine the correlation coefficient by inputting the set data below

X Y

A (1,4)

B (2, 1.5)

C (3,3)

D (4,4)

E (5,2)

Hence:

Correlation coefficient=-0.20801

Correlation coefficient=-0.21 (Approximately)

Therefore the  most likely correlation coefficient for the set of data shown is: -0.21.

Learn more about correlation coefficient here:https://brainly.com/question/2735094

#SPJ4

Answer:

B) -0.21.

Step-by-step explanation: