On a number line 7.35 would be located?

The number √1/√49 is a rational number.

Given a number √1/√49.

Here the numerator and the denominator includes the square root.

We can see that both the numbers inside the square root is a perfect square.

So the number can actually be written in the integer form.

So,

√1/√49 = 1/7, since 7² = 49

Now rational numbers are numbers which can be written in the form of p/q where p and q are integers with q not equal to 0.

Here the number can be written as 1/7, where 1 and 7 are integers.

Hence it is rational.

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Answer:

The arc length of the partial circle is [tex]6\pi\ units[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

In this problem we have a 3/4 of a circle

so

the circumference is equal to

[tex]C=(\frac{3}{4})2\pi r[/tex]

[tex]C=\frac{3}{2}\pi r[/tex]

we have

[tex]r=4\ units[/tex]

substitute

[tex]C=\frac{3}{2}\pi (4)[/tex]

[tex]C=6\pi\ units[/tex]

Answer: Choice B

Step-by-step explanation:

In order to solve for the amount of commission you need to multiply the amount of the sale times the 5% commission rate.

$600 x .05 = $30

Answer:

$117

Step-by-step explanation:

Add 48 + 19 + 19 + 13 + 13 + 5 = 117

Answer:

x² - 9  Remainder 66

Step-by-step explanation:

Find the attachment below for a step by step explanation.

Answer:

[tex]x^2-9[/tex]

Step-by-step explanation:

We are given the following expression and we are to divide it:

[tex] \frac { x ^ 4 - x ^ 2 - 6 } { x ^ { 2 } + 8 } [/tex]

We divide the first term [tex]x^4[/tex] by [tex]x^{2}+8[/tex] and get [tex]x^{2}[/tex] in the quotient so then we are left with [tex]-9x^{2} -6[/tex].

Further [tex]-9x^{2} -6[/tex] is divided by [tex]x^{2}+8[/tex] to get [tex]-9[/tex] in the quotient and we are left with 66 as the remainder.

So we get the quotient [tex]x^2-9[/tex] and remainder [tex]66[/tex].

[tex]12 \div 3 = 4[/tex]

so

[tex]x = 20 \div 4[/tex]

x = 5

Answer:

x = 5

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{3}{12}[/tex] = [tex]\frac{x}{20}[/tex] ( cross- multiply )

12x = 60 ( divide both sides by 12 )

x = 5

Answer:

9

Step-by-step explanation:

"For each nickel, she has one dime"

That means she has the same number of nickels and dimes.

"for each dime she has one quarter"

That means she has the same number of quarters and dimes.

She has the same number of each coin.

Let's say she has x coins of each type.

The nickels are worth 0.05x; the dimes are worth 0.10x. The quarters are worth 0.25x. Altogether, the coins are worth

0.05x + 0.10x + 0.25x

We are told her coins are worth $1.20, so we set those two amounts equal and solve for x.

0.05x + 0.10x + 0.25x = 1.20

0.40x = 1.20

x = 1.20/0.40

x = 3

She has 3 coins of each type. Since there are 3 types of coins, she has 9 coins.

Dawn has a total of 9 coins, which include 3 nickels, 3 dimes, and 3 quarters.

The subject of this question is a math problem involving counting coins. In this scenario, dawn has a total of $1.20 in nickels, dimes, and quarters. And the number of nickels, dimes and quarters are equal since for every nickel Dawn has, she also has a dime and a quarter.

Now, the value of a nickel is $0.05, a dime is $0.10 and a quarter is $0.25. So, the total value of a nickel, a dime and a quarter is $0.40. Therefore, since the total amount of money she has is $1.20, we divide that amount by the total value of each group of coins: $1.20 / $0.40 gives us 3.

So Dawn has 3 nickels, 3 dimes, and 3 quarters, for a total of 9 coins.

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Answer:

n < 18

Step-by-step explanation:

The condition you are looking for is that

                                         94 + 4.50n < 175

Subtract 94 from each side     4.50n < 81

Divide each side by 4.50                 n < 18

The number of devices must be fewer than 18 for the new plan to cost less than the current plan.

The diagram is a graph of the inequality 94 + 4.50n < 175. Any value of n less than 18 (that is, in the pink zone and not on the vertical dashed line) will satisfy the inequality.

Answer:

[tex]8\pi\ ft[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter

we have

[tex]D=8\ ft[/tex]

substitute

[tex]C=\pi (8)=8\pi\ ft[/tex]

Answer: [tex]8\pi\ \text{ft.}[/tex]

Step-by-step explanation:

We know that formula to calculate the circumference of a circle is given by :-

[tex]\text{Circumference}=\pi d[/tex], where d is the diameter of the circle.

Given: The diameter of the circle : [tex]d=\ 8\ ft.[/tex]

Then , the circumference of a circle is given by :-

[tex]\text{Circumference}=\pi (8)=8\pi\ \text{ft.}[/tex]

Hence, the exact circumference of a circle with diameter equal to 8 ft = [tex]8\pi\ \text{ft.}[/tex]

Answer:

A = (800 yd - x)x, [0, 800]

Step-by-step explanation:

The farmer fences in this rectangular garden using 1600 yds of fencing.  Using the formula for the perimeter of a rectangle,

P = 2x + 2L, where x is the width and L is the length.  Here P = 1600 yd.

Solving for L:  1600 yd = 2x + 2(L) →  800 yd = x + L  →  L = 800 yd - x.

The area of the rectangle is A = L·x.  Subbing (800 yd - x) for L, we get:

A = (800 yd - x)x.  This is the desired formula for the area of the rectangle as a function of x alone.  Neither length nor width can be negative, so the domain of this function A is x ≤ 800 yd.

Let the length of the rectangular garden = l yards

And the width of the garden = w yards

Farmer has the fence in length = 1600 yards to cover all the sides of the garden

Therefore, Perimeter of the rectangular garden = 1600 yards

Since, perimeter of the rectangular garden is given by the expression,

Perimeter = 2(l + w)

By substituting the values in the expression,

1600 = 2(l + x)

l + x = 800

l = 800 - x -------(1)

Since, area of the rectangle = Length × Width

                                                = l × w

                                                = lx

Therefore, by substituting the value of 'l' in terms of 'x' in from equation (1),

Area of the rectangular garden = (800 - x)x

If the area of the garden is represented by by the function A(x),

A(x) = (800 - x)x

A(x) = 800x - x²

Since, Area can not be negative or zero,

Domain of the function will be 0 < x < 800

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Answer:

B. He multiplied the dividend by 100 instead of 10.

Step-by-step explanation:

Chen had to divide [tex]1.926[/tex] by [tex]0.9[/tex]. To make it easier to divide, he thought of multiplying both the dividend and the divisor by 10.

Chen multiplied the divisor by 10 but mistakenly multiplied the dividend by 100 instead of 10.

So his whole division problem was changed.

Therefore, the correct answer option is B. He multiplied the dividend by 100 instead of 10.

Answer:

option B

He multiply the dividend by 100 instead of 10

Step-by-step explanation:

Given that,

divisor  = 0.9

dividend = 1.926

Chen decided to multiply each by 10 to get

divisor  = 0.9 x 10 = 9

dividend = 1.926 x 10 = 19.26

but unfortunately he multiply the dividend by 100

As,

1.926 x 100 = 192.6

So,

Chen's error was that he multiply the dividend by 100 instead of 10.

Answer:

The perimeter of rectangle is [tex]18\ cm[/tex]

Step-by-step explanation:

Let

x------> the length of rectangle

y----> the width of rectangle

we know that

The area of the constructed figure is equal to

[tex]A=xy+2x^{2} +2y^{2}\\A=120\ cm^{2}[/tex]

so

[tex]120=xy+2x^{2} +2y^{2}[/tex] -----> equation A

[tex]x=y+5[/tex] -----> equation B

substitute equation B in equation A

[tex]120=y(y+5)+2(y+5)^{2} +2y^{2}\\120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\5y^{2}+25y+50-120=0\\5y^{2}+25y-70=0[/tex]

using a graphing calculator to resolve the quadratic equation

the solution is

[tex]y=2\ cm[/tex]

Find the value of x

[tex]x=2+5=7\ cm[/tex]

Find the perimeter of rectangle

The perimeter of rectangle is equal to

[tex]P=2(x+y)\\P=2(7+2)=18\ cm[/tex]

Using the intersecting chord theorem:

(6 * 1) = (2*x)

Simplify:

6 = 2x

Divide both sides by 2:

x = 6/2

x = 3

Answer:

x = 3

Step-by-step explanation:

You have to use the Intersecting Cord Theorem

(6 * 1) = 2x

multiply what's in the parenthesis

6 = 2x

divide 2 from both sides

3 = x

red triangle

hypotenuse is the longest side of the right triangle; the opposite of the right angle

Answer:

Don't take my word for it but I think it would be 55% chance. I'm Probably wrong.

Step-by-step explanation:

Answer:

9% or 0.09

Step-by-step explanation:

Given, chance of land having oil is 45%. Which is 0.45

So, chance of land NOT having oil is  percent. Which is 0.55

Given, kit's accuracy rate of finding oil as 80%. Which is 0.80

So, kit's accuracy rate of NOT finding oil is   percent. Which is 0.20

These 2 events are INDEPENDENT, which means that the probability of one event occurring does not affect the probability of another event occuring.

The formula, if we let the two evens be A and B, is:

P(A and B)=P(A) * P(B)

Now, "the probability that the land has oil (event A)AND the test predicts that there is no oil (event B)" will be:

P(A and B) = P(A) * P(B)

Hence, the probability is 0.09 or 9%

Answer:

Equation: [tex]600=\frac{20b)}{2}[/tex]

Base: 60 feet.

Step-by-step explanation:

The formula for calculate the area of a triangle is:

[tex]A=\frac{bh}{2}[/tex]

Where:

A: is the area of the triangle.

b: is the base of the triangle.

h: is the heigth of the triangle.

Knowing the area of the triangle and its height, you can write the equation:

[tex]600=\frac{20b}{2}[/tex]

Where b is the base in feet of the A-frame house.

To solve it:

Multiply both sides of the equation by 2.

Divide both sides of the equation by 20.

Then:

[tex](2)(600)=(\frac{20b}{2})(2)\\\\1200=20b\\\\\frac{1200}{20}=\frac{20b}{20}\\\\60=b[/tex]

The base of the A-frame house is 60 feet.

President Reagan order the CIA to recruit the Contras because of option (c) He thought they were necessary to oust a Communist-leaning government in Nicaragua.

Reagan revolution is defined as the era which is basically referring to the changes that happened America during the reign of the president Ronald Reagan.

Reagan, when ruling had many policies that no other ruler before made into the rule.

Some of his policies includes decreasing the income taxes for the people, decreasing the the budget of government, maintenance of low rate of interest, and the other elimination of useless programs.

Along with this, he aims to eliminate the communism globally.

Nicaragua was a region which was highly affected with communism.

The contras' were the one opposing the communism in Nicaragua.

So CIA assisted this contras along with other anti communist causes under the name Reagan Doctrine.

Hence option c is correct.

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Answer:

m = -3/4

Step-by-step explanation:

We can see two points : (0,1) and (4,-2).

Then we find the change of Y/change of X.

This comes out to -3/4, which is the second answer choice.

Answer:

2

Step-by-step explanation:

Answer:

The volume of the dirt in the flowerbed is [tex]1,056\ in^{3}[/tex]

Step-by-step explanation:

we know that

To find the volume of the dirt in the flowerbed, multiply the long by the width by the depth

so

[tex]V=(22)(8)(6)=1,056\ in^{3}[/tex]

Final answer:

To calculate the volume of dirt in a rectangular flowerbed with dimensions of 22 inches by 8 inches by 6 inches, use the formula Volume = length × width × height, resulting in 1056 cubic inches.

Explanation:

The question asks for the volume of dirt a rectangular flowerbed can hold. To find the volume, we use the formula Volume = length × width × height. Given the dimensions are 22 inches (length) by 8 inches (width) by 6 inches (height), we calculate the volume as:

Volume = 22 in. × 8 in. × 6 in. = 1056 cubic inches. Therefore, the volume of the dirt in the flowerbed is 1056 cubic inches.

-3 + 1 = -2

8 + 2 = 10

-2/10 = -1/5

Answer = -1/5

The slope of the line through the points (2, 1) and (8, 3) is calculated using the slope formula and is -1/5.

To find the slope of a line passing through two points, you will need to use the slope formula, which is:

(change in y) / (change in x)or (y2 - y1) / (x2 - x1).

For the points given (–2, –1) and (8, –3), you would calculate the slope as follows:

Slope (m) = (-3 - (-1)) / (8 - (-2)) = (-3 + 1) / (8 + 2) = (-2) / (10) = -1/5.

So, the slope of the line through the points (–2, –1) and (8, –3) is -1/5.

Answer:

6050

Step-by-step explanation:

Area = length * width

Area = 110 * 55

Area = 6050

Answer:

6050 sq ft (or you could write 6050ft and a little two at the top right next to it at the end)

Step-by-step explanation:

To find the area of something, you must multiply length x width, so in this situation, you would multiply

110 x 55

that would equal 6,050

Answer:

r = 3072. A 4 is multiplied times each term to arrive at the next term. OR ... divide a2 by a1 to find the common ratio of 3072. :)

Step-by-step explanation:

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

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Step-by-step explanation:

Answer:

And for people struggling with simpler answers, here!

Step-by-step explanation:

P-12

———-

2

or

P-12/2

Prediction for the number of unsuccessful rolls is 15.

There is [tex]\frac{1}{6}[/tex] chance of rolling number 6 on the cube. If we want to find out what is the prediction for rolling number 6 in 18 rolls, we need to multiply [tex]6*\frac{1}{6}[/tex] which is 3. So if we roll a cube 18 times, we will probably got number 6 three times. When we subtract 3 from 18 (18-3), we get 15. That is the answer to your question.

I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David

Answer:

9cos(46x) + 9cos(12x)

Step-by-step explanation:

18cos(29x)cos(17x)

According to Product-Sum identities

cos(α)cos(β)= (1/2)[cos(α+β)+cos(α-β)]

Putting α=29x and  β=17x in Product-Sum identity we get

= 18×(1/2)[cos(29x+17x)+cos(29x-1`7x)]

Dividing 18 by 2 we get 9

= 9[cos(46x)+cos(12x)]

Multiplying 9 with both the terms we get

= 9cos(46x)+9cos(12x)

the answer is number 2 sin (u-v)÷

A debt greater than Carol's would bear a value that is numerically larger but still under the negative sign. In simpler terms, any debt greater than -$130 is indeed a greater debt.

The question asks, 'Which of the following account balances represents a debt greater than Carol's?' When working with debts in math, it's important to remember that the larger the number, the greater the debt. So any number larger than -$130 represents a debt greater than Carol's.

For example, a balance of -$150 would be a larger debt than Carol's -$130. Why? Because when you owe $150, it's more than owing $130, despite the negative sign. Conversely, a balance of -$100 would be less of a debt than Carol's, because owing $100 is less than owing $130.

It's a somewhat counterintuitive part of working with negative numbers, but once you understand that the negative sign represents a debt, it starts to make sense. The concept of debt here is similar to examples provided where people often have a tendency to hold onto a savings account while carrying a credit card debt.

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An account balance which represents a greater value than Carol's account balance is -$165

Using the parameters given for our Calculation;

Values which represents a greater debt than Carol's are values which falls farther to the left of 130 on a number line.

From.the values given, only -165 falls further to the left of -130 on a number line.

Hence, the correct answer is -$165.

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Check the picture below.

the idea being, the winding path is made out of semi-circles, each semi-circle has a diameter of 3, as you see there in the picture.

now, if we could just take two semi-circles, we'd have a full circle, with a diameter of 3, so from all 4 semi-circles we can actually get two full circles, as you see there, and the circumference of those two full circles, is the length of the winding path.

[tex]\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=3 \end{cases}\implies C=3\pi \qquad \stackrel{\textit{two circles added together}}{3\pi +3\pi \implies 6\pi ~~\approx~~18.85}[/tex]