The graph below shows the length of Jutta's hair over 6 months period. Each month point represents a measurement at the beginning of a month. How many inches did her hair grow between the beginning of February and the beginning of July?

Answer:

10 Inches

Hope it helps, have a fantastic day.

Step-by-step explanation:

The Circumference of a circle can be displayed by this formula:

\(C = 2\pi r\)

\(C\) is the circumference, and \(r\) is the radius.

So just plug in 31 for \(C\), and simplify:

\(31 = 2\pi r\)

Because the question is asking for the diameter, we only need to divide both sides by pi, as \(2r\) is the same thing as diameter.

\(9.87 = 2r\) (rounded to the nearest hundredth)

We can even rewrite \(2r\) as \(d\), which stands for diameter, to make things a little simpler.

\(9.87 = d\)

Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.

Hope it helps, have a fantastic day.

Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)

Step-by-step explanation:

Generally speaking; \(cos^2x + sin^2x = 1\)

rearranging this gives us all sorts of cool things.

for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)

This however, is general.

In the third quadrant, cosine is negative. So cosx in QIII will be:

\(cosx =- \sqrt{ 1 - sin^2x}\)

and thats the answer :)

Answer:

a)    distance = (rate) x (time)   or do they want    rate = distance / time

Step-by-step explanation:

the rate is 420 km / 3 hr       =  140 km/hr

Answer:

The Answer is: 8

Step-by-step explanation:

If there are 48 cookies on the counter and 48 is 6 times the cookies in the oven, you divide 48 by 6 to get the answer, which is 8. 48 divided by 6 is 8.

Answer: 8 cookies in the oven

Step-by-step explanation:

48 counter cookies/6 = 8 oven cookies

Check it: oven cookies (8) times 6 = 48 counter cookies.

Answer:

Number 3

Step-by-step explanation:

2 * 5 = 10

Answer: Answer 3

Step-by-step explanation:

2(5)=10

10=10

Answer:

$6.80

Step-by-step explanation:

$8.16 ÷ 12 = $0.68

$0.68 x 10 = $6.80

To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:

Total number of months = 8 years x 12 months/year = 96 months

Next, we can calculate the interest for half a month:

Interest = Principal x Rate x Time

Where:

- Principal = $90,900.00

- Rate = 8.25% (annual interest rate)

- Time = 0.5/12 years (half a month, expressed in years)

Rate needs to be converted to a monthly rate, so we divide it by 12:

Rate = 8.25% / 12 = 0.6875% (monthly interest rate)

Time needs to be expressed in years, so we divide it by 12:

Time = 0.5/12 years

Now we can calculate the interest:

Interest = $90,900.00 x 0.006875 x 0.0416667

Interest = $25.08 (rounded to the nearest cent)

Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.

Answer:

The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64

Step-by-step explanation:

Make a plan:

Draw the conclusion:

Hope this helps!

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

Step-by-step explanation:

Hello, attatched is the correct graph.

Answer:

(x, y)= (-5,1)

Good luck!

Answer: (x-1)² + (y-2)² = 6.25

Step-by-step explanation:

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. The center of this circle is (1,2) and the radius is 2.5, so the equation of this circle would be (x-1)² + (y-2)² = 6.25

Answer:

(x-1)² + (y-2)² = 6.25

Step-by-step explanation:

Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

Answer:

x0 is the answer I just did that question and got it right

Answer:  Answer is in the steps

Step-by-step explanation:

If we given the angle measure in variables then we will sum them up equal 180 and solve for x to determine the angle measure.

9x + x  +x+4 = 180  

   11x + 4 =  180

            -4   -4

11x = 176

x=16  

In this  case we can find the angle measures by using the expressions.

x = 16  degrees

x+4 =  20 degrees

9x =  144 degrees  

Answer:

Step-by-step explanation:

To test whether getting more sleep might help in becoming a better chess player, two identical groups of chess player can be formed using random sampling taking an appropriate sample size (say n1 and n2) from his school of the same class standard.

One group of players are made to sleep for 10 hours and the other group of players are made to sleep for 6 hours. The chess game can be conducted the next day and the match won or lost can be noted.

Then, the proportion of players winning the chess game of both the groups can be calculated from the sample.

Let the proportion of players getting 10 hours of sleep and winning the chess game be p1 and the proportion of players getting 6 hours of sleep and winning the chess game be p2.

Hypothesis can be framed as -

Null hypothesis : There is no effect of sleep on winning the game.

i.e proportion of players winning in 10 hours sleep group is same as the proportion of players winning in 6 hours group.

P1 = P2

Alternative hypothesis : proportion of players winning in 10 hours sleep group is greater than proportion of players winning in 6 hours sleep group.

P1> P2  

Now, these proportion can be tested using the z test using the formula -

\(z = \frac{(p1-p2)}{\sqrt{p(1-p)(\frac{1}{n1}+\frac{1}{n2})}}\)

where, p is the pooled proportion and is equal to number of matches won by players of both groups/ total number of players

The calculated z score can be tested from the critical value at any selected level of significance (i.e 1% or 5%) using rejection region criteria accordingly we can conclude whether to accept or reject the null hypothesis.

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50

Let's define the variables:

Then we can write a system of equations so we will get:

5x + 3y = 22

2x + 12y = 25

To solve this, we can subtract 4 times the first equation fom the second one:

2x + 12y - 4(5x + 3y) = 25 - 4*22

2x + 12y - 20x - 12y = -63

-18x = -63

x = -63/-18

x = 3.5

That is the cost of each pound of trail mix, and replacing that in one of the equations:

2*3.5 + 12y = 25

y = (25 - 2*3.5)/12

y = 1.5

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Answer: a popcorn is $9

Step-by-step explanation:

soda is $6

Using the substitution method equation form is x is 3 and y is1

Form of Point: (3 , 1 )

Equation Form: x = 3 and y =1

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The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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The graph of the function g(x) has an equation of g(x) = 6√(x - 3)

From the question, we have the following parameters that can be used in our computation:

f(x) = 3√x

The transformed function g(x) is given as

g(x) = 2f (x − 3)

In f(x) = 3√x , we have

f(x - 3) = 3√(x - 3)

Multiply both sides by 2

So, we have

2f(x - 3) = 2 * 3√(x - 3)

Evaluate the products

2f(x - 3) = 6√(x - 3)

Recall that

g(x) = 2f (x − 3)

So, we have

g(x) = 6√(x - 3)

This means that the graph of the function g(x) has an equation of g(x) = 6√(x - 3)

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Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

Answer:

Step-by-step explanation:

L = W+9

area = LW = 36

(W+9)W = 36

W²+9W-36 = 0

W = -12, 3

-12 is an extraneous solution, so W = 3 inches

L = W+9 = 12 inches

Answer:

Histogram

Step-by-step explanation:

Answer:

a Bar graph

Step-by-step explanation:

i did the test

Answer:

115: a) -4

120: a) 11

Step-by-step explanation:

115: Use the formula  

\(m = \frac{rise}{run} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

= (-5)-(3) / (6) - (4)

= -8 / 2

= -4

120: Count the units between point B and point F

Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Setting the equation as a linear function and determining the slope or unit rate, the cost for using 22 HCF of water is $41.97.

A linear function is a mathematical function that describes a straight-line with a constant unit rate (slope).

In this situation, we can determine the slope using the high-low costing method.

The slope is the quotient of the rise (costs) and run (units).

The cost of using 15 HCF of water = $31.72

The cost of using 44 HCF of water = $73.77

The difference between 15 HCF and 44 HCF of water = 29 HCF (44 - 15)

The difference between the two costs = $42.05 ($73.77 - $31.72)

The unit rate (variable cost) or slope per HCF of water = $1.45 ($42.05 ÷ 29)

Variable costs for 15 HCF of water = $21.75 ($1.45 x 15)

Fixed cost = $9.97 ($31.72 - $21.75)

Variable costs for 44 HCF of water = $63.80 ($1.45 x 44)

Total costs = $73.77 ($63.80 + $9.97)

The cost of 22 HCF of water = $41.97 ($9.97 + $1.45 x 22)

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