Data was collected of students’ hair color and gender. The results are in the table below.

Answer:

The volume of the figure is [tex]\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

we have

[tex]r=l\frac{\sqrt{2}}{2}\ units[/tex]

[tex]h=l\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (l\frac{\sqrt{2}}{2})^{2}l[/tex]

[tex]V=\frac{1}{3}\pi (\frac{l^{3}}{2} )[/tex]

[tex]V=\frac{1}{6}\pi (l^{3})\ units^{3}[/tex]

step 2

Find the volume of the square pyramid

[tex]V=\frac{1}{3}Bh[/tex]

we have

[tex]B=l^{2}\ units^{2}[/tex]

[tex]h=l\ units[/tex]

substitute

[tex]V=\frac{1}{3}(l^{2})l[/tex]

[tex]V=\frac{1}{3}(l^{3})\ units^{3}[/tex]

step 3

Find the difference

[tex]\frac{1}{6}\pi (l^{3})-\frac{1}{3}(l^{3})=\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]

Answer:

YES

Step-by-step explanation:

3x+4y=33

2x+y=17 ➡ y=-2x+17

2x+(17-2x)=17

2x+17-2x=17

2x-2x+17=17

17=17

same number on both sides means   Infinitely many solutions

:0)

Answer:

1/5, 1/3, 4/6

Step-by-step explanation:

First, find all the common denominators for these numbers. In this case, it's 30.

1/5 = 10/30

4/6 = 20/30

1/5 = 6/30

Now, you can see which ones are greatest and least.

1. 1/5 (least)

2. 1/3 (middle)

3. 4/6  (greatest)

Answer:

B. 1395 square units.

Step-by-step explanation:

We have been given an octagon. We are asked to find the area of the given regular octagon.

[tex]\text{Area of octagon}=\frac{a\cdot p}{2}[/tex], where,

a = Apothem,

p = Perimeter.

Let us find apothem of octagon by multiplying 17 by 8.

[tex]\text{Perimeter}=8\times 17[/tex]

[tex]\text{Perimeter}=136[/tex]

Upon substituting our given values in area formula, we will get:

[tex]\text{Area of octagon}=\frac{20.52\times 136}{2}[/tex]

[tex]\text{Area of octagon}=\frac{2790.72}{2}[/tex]

[tex]\text{Area of octagon}=1395.36\approx 1395[/tex]

Therefore, the area of our given octagon is 1395 square units.

The length of UV is 6 in because it is parallel to WX.

Find the length of TV:

[tex]TV^{2} =\sqrt{TU^{2} +TV^{2}}[/tex]

[tex]TV^{2} =\sqrt{12^{2} +6^{2}}[/tex]

[tex]TV^{2} =\sqrt{144+36}[/tex]

[tex]TV^{2} =\sqrt{180}[/tex]

[tex]TV =6\sqrt{5} = 13.41640786[/tex]

The length of VX is 9 in because it is parallel to UW.

[tex]TX^{2} =\sqrt{TV^{2} +VX^{2}}[/tex]

[tex]TX^{2} =\sqrt{180 +9^{2}}[/tex]

[tex]TX^{2} =\sqrt{180 +81}[/tex]

[tex]TX^{2} =\sqrt{261}[/tex]

[tex]TX =16.15549442[/tex]

The value of TX is 15 in

According to Pythagoren theorem

Hyp² = Base² + Perp²

Putting the values

Hyp² = 12² + 9²

Hyp²  = 144 + 81

Hyp² = 225

taking square root on both sides

Hyp = 15

Answer:

Step-by-step explanation:

The calculator says that the answer is 7.36 * 10^-3.

This has been rounded to the proper number of significant digits. 5.02 has only 3 sig digs.

Coefficient: 7.36

Exponent: - 3

Note your calculator might give you 0.00736 but that is really 7.36 * 10^-3

Answer:

7.56932 * 10^-3

The coefficient is 7.35932

The exponent is -3

Step-by-step explanation:

When we multiply numbers in scientific notation, we take the numbers out front and multiply

1.466*5.02 =7.56932

Then we add the exponents on the powers of 10

10^(-8+5) = 10^(-3)

The result is 7.56932 * 10^-3

Using a calculator, we get 0.00735932, which is not in scientific notation.  Your question indicates that you want the result in scientific notation

.00735932 changed to scientific notation

Move the decimal until a nonzero digit is to the left of the decimal

7.35932

We moved it 3 places to the left, that means our exponent is -3

7.35932*10^-3

Answer:

51 and 64

Step-by-step explanation:

The Empirical Rule states that 68% of normally distributed data lies within one standard deviation of the mean.

Hence, if the mean is 57.5, one standard dev. above that is 57.5+6.5, or 64, and one standard dev. below the mean is 57.5-6.5 = 51.

Thus,

we can conclude that 68% of the students received scores between 51 and 64.

Final answer:

Approximately 68% of the eighth-grade students received scores between 51 and 64.

Explanation:

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. So, in this case, 68% of the eighth-grade students received scores between the mean of 57.5 minus one standard deviation of 6.5 and the mean plus one standard deviation.

Calculating the range:

Therefore, we can conclude that approximately 68% of the students received scores between 51 and 64.

[tex]\bf \begin{array}{cll} \cfrac{1}{3}\\\\\cline{1-1}\\ \cfrac{1}{9}~~\cfrac{1}{9}~~\cfrac{1}{9} \end{array}\qquad \implies\qquad \cfrac{1}{3}=\cfrac{1+1+1}{9}\implies \cfrac{1}{3}= \cfrac{3}{9} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{cll} \cfrac{1}{4}\\\\\cline{1-1}\\ \cfrac{1}{8}~~\cfrac{1}{8} \end{array}\qquad \implies\qquad \cfrac{1}{4}=\cfrac{1+1}{8}\implies \cfrac{1}{4}= \cfrac{2}{8}[/tex]

Answer:

Radius : 2

Step-by-step explanation:

Rewrite in standard form to find the radius.

Hope this helps,

Davinia.

The radius of the circle with the equation x² + y² = 4 is 2 units, calculated by taking the square root of the right-hand side of the equation.

The question requires us to find the radius of a circle given its equation. The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. The given equation, x² + y² = 4, indicates that the circle is centered at the origin (0,0) and the radius is the square root of 4.

To calculate the radius, we take the square root of 4:
r = √4 = 2.

Therefore, the radius of the circle is 2 units.

Answer:

A

Step-by-step explanation:

From the graph, we can see that the temperature increased initially, then started to decrease. All of these NOT in a constant rate, though.

Roughly, the temperature was increasing from start till around 5.5 hours. Then on the temperature decreased.

So we can eliminate B, C, and D. That leaves us with correct answer as A.

The given statement "A computer can produce a list of random numbers" is true.

"A computer is an electronic device which take input from the user as raw data, process the data into information, and gives output to the user."

"Random numbers are numbers that occur in a sequence such that two conditions are met:

"Random numbers are important in statistical analysis and probability theory."

"Computers can generate truly random numbers by observing some outside data, like mouse movements or fan noise, which is not predictable, and creating data from it."

Hence, the correct option is A.

To learn more about random numbers and computer here

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Answer:

1  7/8 cups leftover

Step-by-step explanation:

The total amt. of sugar Suze needs is 5(1  1/2 cups) = 15/2 cups, or 7.5 cups.

Combining the 3  1/4 and 6  1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total.  She needs only 7.5 cups of this sugar.

Thus, she has leftover the following amount:  9 3/8 - 7 4/8 cups, which

simplifies to  1  7/8 cups

Total C.Sugar

3 1/4+6 1/8

=13/4 + 49/8

=26/8 + 49/8

=75/8 cups

Used C.Sugar

1 1/2 × 5

= 3/2 × 5

= 15/2 cups

Remaining C.Sugar

75/8 - 15/2

=75/8 - 60/8

=15/8

=1 7/8 cups

Answer

1 7/8 cups remaining

The answer and work is in the attched sheet!

Hope I helped~! :)

The simplified equivalent expression for 6(7-3y)+6(y+1) is -12y+48.

To simplify to create an equivalent expression for 6(7-3y)+6(y+1), we first distribute within the parentheses.

This gives us: 42-18y+6y+6.

Next, we combine like terms (-18y and 6y; 42 and 6) to get -12y+48.

So, the simplified equivalent expression is -12y+48.

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Answer: [tex]40cm^2[/tex]

Step-by-step explanation:

A cross-section is the shape that results of the intersection of a plane with an abject.

When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.

The area of the triangle can be calculated with the formula:

[tex]A=\frac{b*h}{2}[/tex]

Where the base of the triangle is b and its height is h.

The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:

[tex]diameter=2*radius\\diameter=2*4cm\\diameter=8cm[/tex]

Then:

[tex]b=8cm[/tex]

The height ot this triangle is the height of the cone:

[tex]h=10cm[/tex]

So, by substituting into the formula you get the area of the cross-section in square centimeters:

[tex]A=\frac{(8cm)(10cm)}{2})=40cm^2[/tex]

2times1 because 2.75 take the 75 off and 1.25 take the 25 off so you multiply 2 and 1 so 2times1 equals 2

Answer:

C) 3 x 1

Step-by-step explanation:

First, you round 2.75 to 3 because of the rounding rule- "If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up." Then you round 1.25 to 1 because of the rounding rule. Then you get 3 x 1!

Hope this helps-

maggbaron765

QUESTION 1

The tangent ratio is the ratio of the length of the opposite side of the length of the adjacent side.

From ΔVWX,

[tex]\tan(X)=\frac{VW}{WX}[/tex]

From ΔYZX,

[tex]\tan(X)=\frac{YZ}{XZ}[/tex]

[tex]\therefore \tan(X)=\frac{VW}{WX}=\frac{YZ}{XZ}[/tex]

QUESTION 2

We use the tangent ratio to obtain;

[tex]\tan(V)=\frac{Opposite}{Adacent}[/tex]

[tex]\tan(V)=\frac{WX}{VW}[/tex]

QUESTION 3

From ΔVWX,

[tex]\tan(X)=\frac{VW}{WX}[/tex]

We take the inverse tangent of both sides to obtain;

[tex]X=\tan^{-1}(\frac{VW}{WX})[/tex]

[tex]\therefore \tan^{-1}(\frac{VW}{WX})=X[/tex]

QUESTION 4

From ΔVWX,

[tex]\tan(V)=\frac{WX}{VW}[/tex]

Taking the inverse tangent of both sides, we obtain;

[tex]V=\tan^{-1}(\frac{WX}{VW})[/tex]

[tex]\therefore \tan^{-1}(\frac{WX}{VW})=V[/tex]

QUESTION 5.

We know that

[tex]\tan(V)=\frac{WX}{VW}[/tex]

and

[tex]\tan(X)=\frac{VW}{WX}[/tex]

[tex](\tan X)(\tan V)=(\frac{VW}{WX})(\frac{WX}{VW}=1[/tex]

QUESTION 6.

[tex]\tan^{-1}(\frac{VW}{WX})=X[/tex]

[tex]\tan^{-1}(\frac{WX}{VW})=V[/tex]

This implies that;

[tex]\tan^{-1}(\frac{VW}{WX})+\tan^{-1}(\frac{WX}{VW})=X+V[/tex]

QUESTION 7

[tex]\tan 23\degree =0.4244[/tex]

We round to the nearest 0.01 to obtain;

[tex]\tan 23\degree =0.42[/tex]

QUESTION 8

[tex]\tan 43\degree =0.9325[/tex]

We round to the nearest 0.01 to obtain;

[tex]\tan 43\degree =0.92[/tex]

QUESTION 9

[tex]\tan ^{-1} 0.14=7.9696\degree[/tex]

We round to the nearest 0.01 to obtain.

[tex]\tan ^{-1} 0.14=7.97\degree[/tex]

QUESTION 10

[tex]\tan ^{-1} 1=45.00\degree[/tex]

QUESTION 11

[tex]\tan ^{-1} 0.14=7.97\degree[/tex]

This implies that;

[tex]\tan 7.97\degree=0.14[/tex]

QUESTION 12

[tex]\tan ^{-1} 1=45.00\degree[/tex]

This implies that;

[tex]\tan 45.00\degree=1[/tex]

Answer:

um dunno like 2 hours a day?

Step-by-step explanation:

2x, x representing day? So 2 days = 2*2 = 4 hours?

Answer:

3 hours a day

Step-by-step explanation:

If you are on your phone to much you could have eye problems when you grow up or other problems.

Answer:

The area of the regular hexagon is [tex]166.3\ units^{2}[/tex]

Step-by-step explanation:

we know that

The regular hexagon can be divided into 6 equilateral triangles

so In this problem

The radius is equal to length side of the polygon

The area of the regular hexagon is equal to the area of six equilateral triangle

[tex]A=6[\frac{1}{2}(b)(h)][/tex]

we have

[tex]b=r=8\ units[/tex] ---> the base of each triangle is equal to the radius

[tex]h=4\sqrt{3}\ units[/tex] ---> the height of each triangle is equal to the apothem

substitute

[tex]A=6[\frac{1}{2}(8)(4\sqrt{3})]=96\sqrt{3}\ units^{2}[/tex]

[tex]96\sqrt{3}=166.3\ units^{2}[/tex]

This means that everything in between those numbers is correct

Answer:

The answer is 9x² - 6x - 1

Step-by-step explanation:

∵ (6x³ + x² - 10x - 1) - (6x³ - 8x² - 4x) =

    0 + 9x² - 6x - 1 = 9x² - 6x - 1

Answer:

The result is : [tex]9x^{2} -6x-1[/tex]

Step-by-step explanation:

The given terms to be subtracted are ;

[tex]6x^{3}+x^{2} -10x-1[/tex] and

[tex]6x^{3}-8x^{2} -4x[/tex]

So, subtracting each term to be more clear we get:

[tex]6x^{3}-6x^{3}=0[/tex]

[tex]x^{2} -(-8x^{2} )=x^{2} +8x^{2} =9x^{2}[/tex]

[tex]-10x-(-4x)=-10x+4x=-6x[/tex]

[tex]-1+0=-1[/tex]

So, the answer will be :

[tex]9x^{2} -6x-1[/tex]

Answer:

[tex]-5[/tex]

Step-by-step explanation:

We want to evaluate  -9-(-4).

This is the same as [tex]-9+4[/tex].

We can again rewrite this as [tex]4-9[/tex]

Since we are subtracting a larger number from a smaller number, the result will be negative.

Therefore our expression evaluates to [tex]-5[/tex]

The second option is correct.

Rearrange x + y = 11.

x = 11 - y

Substitute into other equation.

4(11 - y)^2 = 3y^2 = 8

Answer:

4(11 - y)^2 - 3y^2 = 8 (#2)

Answer:

x = -1

Step-by-step explanation:

You can write the equation of the line by finding the slope between the points and substitute it with a point into the point slope form.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{6--5}{-1--1} =\frac{11}{0} = und[/tex]

These points have a slope which is undefined. This means it is a vertical line that crosses through the x-axis at the x-coordinate of both points -1. The equation is x = -1.

The request lacks the necessary details to determine the subject or educational grade level, and therefore an academic answer can't be provided.

Unfortunately, the query you've provided does not contain enough context or specific content for me to determine neither the subject nor the educational grade level it pertains to. It appears to be a general request for assistance rather than a question related to an academic topic. For future inquiries, please ensure you include the question itself and any pertinent details that would enable me to provide a comprehensive, educational, and helpful response that directly addresses your academic needs.

Answer:

All together the expression is 6n2 + 6m + 2n.

The number of terms is 3.

A coefficient is 6, 6 or 2.

A factor is 2(3n2+3m + n)

Step-by-step explanation:

Simplify the expression by combining like terms. Like terms are terms which have the same base.

-3n -2m + 5n + 8m + 6n2

These are the like terms:

-3n + 5n = 2n

-2m + 8m =6m

6n2

All together the expression is 6n2 + 6m + 2n.

The number of terms is 3.

A coefficient is 6, 6 or 2.

A factor is 2(3n2+3m + n)

Answer:

6

Step-by-step explanation:

f (x)=x^2and g(x)=x+6  (I will assume you meant x not c)

The first step if to find f(0)

f(0) = 0^2 = 0

Now we find g(f(0))= g(0)

g(0) = 0+6  = 6

g(f(0) =6

If you meant c

Then g(f(0) = c+6

1: Expression: 4500-2000

Answer: 2500 left to go

2: Expression: 20x

Answer: 40 centimeters

3: Expression: You can easily write and evaluate an expression based off of the terms/values used in the problem. If Stacy runs 5 miles and wants a goal of 10 miles, the expression would be 10-5 or 5+5. If Tom wants to give each of his 4 friends 2 cookies, the expression would be 4 • 2 (multiplication). If Jonny wants to give his sister half of his 50 cards, the expression would be 50 divided by 2

Answer:

d. expression: 4500 - 2000 = , amount left to go : 2500

e. expression : 20×2= , amount rattlesnake grows in 2 years: 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

$1200+$600+$350+$150+$300+$400=$3000

=12*$3000=$36000

rent= 1200*100/3000=40%

food=600*100/3000=20%

trans=350*100/3000=11.7%

utilities=150*100/3000=5%

insurance=300*100/3000=10

taxes=400*100/3000=13.3%