A U.S. dime has a thickness of 7.05 millimeters. Gary has a stack of dimes 42.3 millimeters tall. How many dimes does he have?

We have:

\(p-3\frac{1}{5} =7\frac{1}{3} => p=7\frac{1}{3}+3\frac{1}{5}= 10\frac{8}{15}\)

ok done. Thank to me :>

Answer:

slope  1/7

y intercept: (0, -67)

slope intercept form: y=1/7x - 61/7

Step-by-step explanation:

point slope form is

y+9=1/7 *(x+2)

The value of x in the given hexagon is determined as 14.

The value of x is calculated by applying the principle of sum of interior angles of a hexagon.

(6 - 2) x 180 = 720

The sum of the angles in the interior shape will be 720 degrees.

10x + 8x - 16 + 12x - 8 + 7x + 2 + 9x + 4 + 6x + 10 = 720

collect similar terms together;

52x - 8 = 720

52x = 720 + 8

52x = 728

x = 728/52

x = 14

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Answer:

The answer is A.

Step-by-step explanation:

For this graph, you are using the linear equation formula: y = mx + b

Answer:

3/10

Step-by-step explanation:

i

Answer:

3/10

Step-by-step explanation:

Multiply 1/2 by 5 to reach 5/10 and 1/5 by 2 to reach 2/10. Then subtract 2/10 from 5/10 to achieve the answer 3/10.

Answer:

19683

Step-by-step explanation:

3 to the power of 8 is 6561,

so just put 6561 multiplied by itself 3 times.

(6561 X 6561 X 6561).

Answer:

3⁸ × 3 = 19,683

9514 1404 393

Answer:

  56

Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

  3ab +b = 3(9)(2) +2 = 56

Answer:

76.38

Step-by-step explanation:

x = the number of boxes of felt tip pens

5x = the number of boxes of ballpoint pens

5x*4.41 + x*3.41 = 76.38

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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A) the z-critical value associated with a 99% confidence interval is 2.58. B) the z-critical value associated with a 95% confidence interval is 1.96. C) the z-critical value associated with a 90% confidence interval is 1.64. D)  the z-critical value associated with an 80% confidence interval is 1.28.

The z-critical value (or the critical z-value) is the number of standard deviations from the mean that corresponds to a given level of significance in a two-tailed z-test. It is used in statistical hypothesis testing to determine whether to reject or fail to reject the null hypothesis.

A) For a 99% confidence interval, the area in each tail is (1-0.99)/2 = 0.005. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 2.58

Therefore, the z-critical value associated with a 99% confidence interval is 2.58.

B) For a 95% confidence interval, the area in each tail is (1-0.95)/2 = 0.025. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.96

Therefore, the z-critical value associated with a 95% confidence interval is 1.96.

C) For a 90% confidence interval, the area in each tail is (1-0.90)/2 = 0.05. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.64

Therefore, the z-critical value associated with a 90% confidence interval is 1.64.

D) For an 80% confidence interval, the area in each tail is (1-0.80)/2 = 0.10. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.28

Therefore, the z-critical value associated with an 80% confidence interval is 1.28.

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Answer:

S₇ = 514.75

Step-by-step explanation:

the nth term of a geometric sequence is

\(t_{n}\) = a\(r^{n-1}\)

where a is the first term and r the common ratio

given t₂ = 24 and t₅ = 81 , then

ar = 24 → (1)

a\(r^{4}\) = 81 → (2)

divide (2) by (1) to eliminate a

\(\frac{ar^{4} }{ar}\) = \(\frac{81}{24}\)

r³ = \(\frac{81}{24}\) ( take cube root of both sides )

\(\sqrt[3]{r^{3} }\) = \(\sqrt[3]{\frac{81}{24} }\)

r = 1.5

substitute r = 1.5 into (1) and solve for a

a × 1.5 = 24 ( divide both sides by 1.5 )

a = 16

the sum to n terms of a geometric sequence is

\(S_{n}\) = \(\frac{a(r^{n}-1) }{r-1}\) , then

S₇    = \(\frac{16((1.5)^{7}-1)) }{1.5-1}\)

      = \(\frac{16(17.0859375-1)}{1.5-1}\)

     = \(\frac{16(16.0859375)}{0.5}\) ( divide 16 by 0.5 )

     = 32 × 16.0859375

     = 514.75

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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Answer:

I think it’s 240

Step-by-step explanation:

Hope this helps

Answer:

approx. 11.18 ft.

Step-by-step explanation:

formula: d=√L²+W²+H²

d=√5²+6²+8²

5²+6²+8²=125

√125 ≈ 11.18 ft

d(diagonal)= 11.18ft

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

4x - 15

Step-by-step explanation:

Answer:

45 lb

Step-by-step explanation:

You can simple use unitary methods.

It is a simple visualization:

27.4 on moon = 164.4 on earth

(27.4/164.4) on moon = 1 on earth

270(27.4/164.4) on moon = 270 on earth

45 on moon = 270 on earth

Or, use, unitary method,

=> 164.4/27.4 = 270/x

=> x = (270 × 27.4)/164.4

=> x = 45

Or, use the concept "weight becomes 1/6 of the real one(of that on earth)".

270 lb on moon = 270/6 = 45 lb

Answer:

.

Step-by-step explanation:

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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9514 1404 393

Answer:

  y -8 = 2

Step-by-step explanation:

To find the value that is 8 less than y, you subtract 8 from y.

  y -8 = 2 . . . . . 8 less than y is 2

3x - 14 here, 2x + 10 here. Consequently, X has a value of 14. In algebra, the letter "x" is frequently used to denote a value that is still unknown. It is referred to as a "variable" or "unknown" at times.

In algebra, the letter "x" is frequently used to denote a value that is still unknown. The term "variable" or "unknown" is used to describe it. x in x+2=7 is a variable. Not only can a variable be "y," "w," or any other letter, name, or symbol, it can also be "x." Examine: Variable

Bring the variable to one side of the equation, and then move all the other values to the other side by performing arithmetic operations on both sides of the equation to find the value of x. To determine the answer, simplify the values.

An experiment's independent variable is a variable that stands in for a variable that is being altered. In equations, the independent variable is frequently denoted by the variable x. X is the variable here.

\($$3 x-14-(2 x)=0$$\\\)

We shift every term to the left:

\($3 x-14-(2 x)=0$\)

We combine all the numbers and all the variables.

\($$x-14=0$$\)

All terms containing x are shifted to the left, and all other terms are shifted to the right.

\($$x=14$$\)

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It would depend on how accurate the calculation was in this scenario.

In general, it is preferable to round each step to the correct number of significant figures, but in some circumstances, carrying one or two insignificant figures can assist prevent round-off errors.

All zeros that are to the right of the decimal point but to the left of a non-zero number in a decimal number that ranges between 0 and 1 are not significant.

If there are zeros in a whole number to the right of a non-zero digit but to the left of a recognised decimal point, the situation becomes questionable.

All of the last zeros of a decimal number are significant when it is rounded off to a specific number of decimal places.

Complete Question:

It is sometimes suggested that one or two extra decimal places be carried along in each step when rounding values to the proper number of significant figures.

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It would depend on how accurate the calculation was in this scenario.

In general, rounding each step to the right number of significant numbers is ideal, but in rare cases, carrying one or two insignificant digits can help prevent round-off mistakes.

All zeros to the right of the decimal point but to the left of a non-zero integer in a decimal number between 0 and 1 are ignored.

The issue becomes dubious if there are zeros in a whole integer to the right of a non-zero digit but to the left of a recognised decimal point.

When a decimal value is rounded to a specified number of decimal places, all of the final zeros are important.

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Answer:

y=3/4x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-3))/(4-(-4))

m=(3+3)/(4+4)

m=6/8

m=3/4

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)

Answer:

-72

Step-by-step explanation:

You just plug in -9 into x and calculate. -(-9)^2-(-9)=-72

Step-by-step explanation:

Question: f(x) = -x² - x

Answer: f(-9)= -(-9)² - (-9)

f(-9)= -81 +9 = -72

I hope this will help you

have a good day

Answer:

3 flowers 6 twigs

Step-by-step explanation:

set flowers to x and twigs to y

15 = 3x + y subtract 3x both sides to get y

9 = x+y sub 15-3x in for y 9= x + 15-3x simplify to 2x =6 so x =3 put that in for x in 9=x+y 9= 3+ y so y =6