Tiva earns $48 for 6 hours of babysitting.

Complete each statement if Tiva keeps earning her babysitting money at this rate.

For 8.5 hours of babysitting, Tiva will earn $___
If Tiva babysits for___ hours, she will earn $32.

Answer:

A=πr(r+h2+r2)

Step-by-step explanation:

r = 9

h = 6.75

= 572.56

According to the information given in the exercise, the volume of a cone is:

You need to remember that:

- The formula for calculating the volume of a cone is:

Where "r" is the radius and "h" is the height.

- The formula for calculating the volume of a cylinder is:

Where "r" is the radius and "h" is the height of the cylinder.

In this case, you know that the cone fits exactly inside of the cylinder. That indicates that the height and the radius of both solids are equal.

Then to find the volume of the cylinder, you need to:

1. Substitute the volume of the cone into the formula for calculating the volume of a cone:

2. Solve for:

Then, you get:

3. Substitute that value into the formula for calculating the volume of a cylinder:

Hence, the answer is: First option.

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

What is the explicit formula?

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.

A. The data provided is modeling a geometric sequence.

This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.

B. To find the time Aurora will complete station 5 using a recursive formula,

we can use the formula T(n) = T(n-1) * r,

where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.

In this case T(5) = T(4) * 2

and T(4) = 24 (from the data provided)

Therefore, T(5) = 24 * 2 = 48 minutes

C. To find the time Aurora will complete the 9th station using an explicit formula,

we can use the formula T(n) = T(1) * r^(n-1)

In this case, T(9) = T(1) * 2^(9-1)

and T(1) = 3 (from the data provided)

Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes

The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.

Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

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Answer: m=14

Step-by-step explanation:

To find the slope, we use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). Since we are given 2 points, we can use those points to plug in.

\(m=\frac{8-(-20)}{5-3} =\frac{28}{2} =14\)

Our slope is m=14.

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

In step 4, she forgot to move the decimal.

Step-by-step explanation:

Everything else is correct, but Hantet forget to move the decimal places 2 points to the right to make it 8% instead of 0.08%.

Always remember that percent is OUT of 100.

Hope this helps :)

Nathan

Answer:

The answer is x=6

Step-by-step explanation:

To find this we need to simplify  so  2x+4=16,   2x=16-4,     2x=12,     2x/2=12/2  

so x=6

Answer:

the answer is 6

Step-by-step explanation:

subtract 4 from both sides then you are left with 2x=12. so then you divide 12 by 2 and get 6. hope this helps:)) let me know if i can help you anymore:)

The following are the completed chart;

5 long cubes and 5 small cubes = 55

2 long cubes and 8 small cubes = 28

6 long cubes and 0 small cubes = 60

7 long cubes and 0 small cubes = 70

10 long cubes and 0 small cubes = 100

The diagram attached describes the cubes matched with its number.

This refers to the value a number represent by a digit in a number on the basis of its position in the number.

For instance,

Hundred thousand

Ten thousand

Thousand

Hundred

Tens

Ones

Tenths

Hundredths

Thousandths

Ten thousandths

Hundred thousandths

5 long cubes and 5 small cubes = 55

2 long cubes and 8 small cubes = 28

6 long cubes and 0 small cubes = 60

7 long cubes and 0 small cubes = 70

10 long cubes and 0 small cubes = 100

Ultimately, the charts represents two digits and three digits number respectively.

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Answer:

5(3x+5)

Step-by-step explanation:

Answer:

5(3x + 5)

Step-by-step explanation:

Factor out 5 of 15x + 25 then you'll get your answer.

Hope this helps:)

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

y=2/3x-2

Explanation:

The equation of a line can be written as y=mx+c

m=slope and c = y-intercept

The point at the x−intercept has coordinates (-3,0)

In y=mx+c

0=2/3(3)+c

0=2+c

-2=c

The equation is y=2/3x-2

Answer:

\( y = \frac{2}{3} x - 3\)

Step-by-step explanation:

Slope (m) = 2/3

y-intercept (b) = - 3

Equation of line in slope intercept form is given as:

\( y = mx + b\)

Plug the values of m and b in the above equation, we find:

\(y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3\)

The solutions to the given quadratic equation 4x² - 4x - 1 = 0 are x = ( 1 - √2 )/2,  ( 1 +√2 )/2.

A quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the equation in the question;

4x² - 4x - 1 = 0

Compared to the standard form ax² + bx + c = 0

Plug these values into the quadratic formula above.

x = (-b±√(b² - 4ac)) / (2a)

x = (-(-4) ± √((-4)² - ( 4 × 4 × -1 ))) / (2 × 8)

x = ( 4 ± √( 16 - ( -16) ) / (8)

x = ( 4 ± √( 16 + 16) ) / (8)

x = ( 4 ± √( 32) ) / (8)

32 can be written as 4²×2

x = ( 4 ± √( 4²×2 ) ) / (8)

x = ( 4 ± 4√2 ) / (8)

x = ( 1 ± √2 ) / 2

x = ( 1 - √2 )/2,  ( 1 +√2 )/2

Therefore, the solutions to the given quadratic equation 4x² - 4x - 1 = 0 are x = ( 1 - √2 )/2,  ( 1 +√2 )/2.

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Answer:

The answer is below

Step-by-step explanation:

1

a) The symmetric equations for the line that passes through the point (a, b, c) and is parallel to the vector (e, f, g) is:

\(\frac{x-a}{e}=\frac{y-b}{f} =\frac{z-c}{g}\)

Therefore using the above equation to Find symmetric equations for the line that passes through the point  (4, −4, 8) and is parallel to the vector (−1, 4, −3) we get:

\(\frac{x-4}{-1}=\frac{y-(-4)}{4}=\frac{z-8}{-3} \\\\Therefore:\\\\\frac{x-4}{-1}=\frac{y+4}{4}=\frac{z-8}{-3}\)

b)i) The line would intersect the xy plane where z = 0. Hence:

\(\frac{x-4}{-1}=\frac{y+4}{4}=\frac{0-8}{-3}\\\\\frac{x-4}{-1}=\frac{y+4}{4}=\frac{8}{3} \\\\\frac{x-4}{-1}=\frac{8}{3}\ and\ \frac{y+4}{4}=\frac{8}{3}\\\\x=\frac{4}{3}\ and\ y=\frac{20}{3} \\\\Therefore\ the\ line\ intersect\ the\ xy\ plane\ at\ (\frac{4}{3},\frac{20}{3},0)\)

ii) The line would intersect the yz plane where x = 0. Hence:

\(\frac{0-4}{-1}=\frac{y+4}{4}=\frac{z-8}{-3}\\\\\frac{y+4}{4}=\frac{z-8}{-3}=4\\\\\frac{y+4}{4}=4\ and\ \frac{z-8}{-3}=4\\\\y=12\ and\ z=-4 \\\\Therefore\ the\ line\ intersect\ the\ yz\ plane\ at\ (0,12,-4)\)

iii) The line would intersect the xz plane where y = 0. Hence:

\(\frac{x-4}{-1}=\frac{0+4}{4}=\frac{z-8}{-3}\\\\\frac{x-4}{-1}=\frac{z-8}{-3}=1\\\\\frac{x-4}{-1}=1\ and\ \frac{z-8}{-3}=1\\\\x=3\ and\ z=5 \\\\Therefore\ the\ line\ intersect\ the\ xz\ plane\ at\ (3,0,5)\)

2)

Let the points be A(−6, 4, 1) and B(2, 6, 5). Let O be the midpoint of the two points A and B. Therefore O is the average of the x coordinates, y coordinates and z coordinate.

\(0=\frac{1}{2} (-6+2,4+6,1+5)=(- 2,5,3)\\\\\)

The normal vector (n) in the direction of line between A and B is:

n = AB = B - A = (2, 6, 5) - (−6, 4, 1) = (8, 2, 4)

n = 8x + 2y + 4z

The equation of the plane based on the normal vector and the midpoint 0 is:

Plane = 8x + 2y + 4z  = 8(-2) + 2(5) + 4(3) = 6

Therefore:

8x + 2y + 4z = 6

4x + y + 2z = 3

3) The normal vectors to the plane are:

\(n_1=(1,1,-1)\ and\ n_2=(4.-1,5)\)

The point of intersection O of the two planes is normal to the normal vectors, hence:

\(O=n_1*n_2=(1,1,-1)*(4,-1,5)\\\\O=(4, -9, -5)\)

A point that lies on both plane is gotten by substituting z = 0, hence:

x + y - (0) = 3,    and     4x - y + 5(0) = 5

x + y = 3    and    4x - y = 5

Solving simultaneously gives x = 8/5, y=7/5

From this two points we get:

AB = (-2-8/5, 1 - 7/5, 1-0) = (-18/5, -2/5, 1)

The vector normal to the plane (n) = (4, -9, -5) * (-18/5, -2/5, 1) = (-11, 14, -34)

\(B=A_o=-11(x-(-2))+14(y-1)-34(z-1)\\\\0=11x+22+14y-14-34z+34\\\\11x+14y-34z =42\\\)

Answer:

Step-by-step explanation:

The dimensions of the frame, including the picture, are:

The area is:

Required equation is:

Length

Width

Area

So

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer: These are possible solutions:

(0,2) (1,3) (2,4)

Hope this helps..:)

Note:

Your questions sound a little unclear.

But, I am assuming your questions as:

''70% of x is 14 min. Find the value of x''.

So, I will solve assuming this statement which anyways would clear your concept.

Answer:

The value of x = 20.

Step-by-step explanation:

Given

''70% of x is 14 min. Find the value of x''.

Thus,

70% of x = 14

70/100 × x = 14

0.7x = 14

divide both sides by 0.7

0.7x/0.7 = 14/0.7

x = 20

Therefore, we conclude that the value of x = 20.

The value of Cscθ is 1/y.

What is a trigonometric function?

The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here, we have

Given: if p(x,y) is the point on the unit circle defined by the real number theta.

We have to find the value of the csc theta.

P(x,y) is the point on the unit circle  (the unit circle has a radius of 1 and center (0,0))

Now in a diagram, we can see that

OA= x

AP= y

radius OP =1

∠POA =θ

Now in ΔAOP

Cscθ = hypotenuse/opposite side

Cscθ = OP/AP

Cscθ = 1/y

Hence, the value of Cscθ is 1/y.

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Answer:

Numerators and denominators

Step-by-step explanation:

Upper part of fraction is referred to as numerator while lower part as denominator.

Answer:

In order to multiply fractions, the numerator(s) are multiplied together, the denominator(s) are multiplied together, and the fractions is simplified

Step-by-step explanation:

I remember it like this: numerator - up; denominator - down

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer:

Step-by-step explanation:

fork knife

The formula for the centripetal force, as a function of the radius, is given as follows:

F = 896/r.

The equation that defines a direct proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

For an inverse proportional relationship, the equation is given as follows:

y = k/x.

The centripetal force varies inversely with the radius, hence the equation is given as follows:

F = k/r.

When F = 56, r = 16, hence the constant k is obtained as follows:

56 = k/16

k = 56 x 16

k = 896.

Hence the equation is given as follows:

F = 896/r.

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