side length z =

angle d =

#10. In order to find a ratio, all we need to do is set up a simple equation and then cross-multiply!

I'll show you !

In this case, we'll take the already established ration (14 : 8 ) and find the equivalent ratio where 7 is in place of 14 (7: x)

x will be the other table value we are looking for!

Now let's set up the equation and cross-multiply!

\(\frac{14}{8} = \frac{7}{x}\)

cross multiply 14 and x, then 8 and 7

We get:  14x = 56

solve to find x!

x = 56/14

x = 4 blankets

Now let's use the ratio 7: 4 to find what goes with 16 in the table!

\(\frac{7}{4} = \frac{x}{16}\)

4x = 112

x = 112/4

x = 28 towels

_________________________________________________-

#11. : Using the same method, I'll fill in the values of the table on #11

16 forks, 10 spoons

8 forks, 5 spoons,

48 forks, 30 spoons

_____________________________________________

#12. If the neighbor pays you $17 for every 2 hours of work, we need to find how many times 2 hours goes in 8 hours of work

We do this by dividing

8/2 = 4 times

2 hours of work goes into 8, 4 times!

Now we multiply 4 by $17 to find how much your neighbor owes you!

$17 × 4 = $68

Your neighbor owes you $68 !!!

If sin(tetha) = √5/3, then the value of cos (tetha) =2/3

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

If sin(tetha) = √5/3, therefore the hypotenuse is 3 and the opposite is √5

Using Pythagoras theorem,

3² = √5)²+x²

x² = 9-5

x² = 4

x = 2

adjascent = 2

therefore the value of cos(tetha) = adj/hyp

= 2/3.

therefore the value of cos(tetha) = 2/3

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Answer: The stemplot shows that the distribution is unimodal and skewed to the right.

The stem values (tens digits) are:

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4

The leaf values (ones digits) are:

5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 7, 9, 9, 9, 2, 2, 4, 8, 2

The data is unimodal because there is one clear peak in the distribution. The data is skewed to the right because the long tail of the distribution extends to the right, with a few large values pulling the mean to the right.

Therefore, the best description of the shape of this distribution is skewed to the right.

Answer:

12.57

Step-by-step explanation:

A = πr^2

3.14 x 2 x 2 = 12.57 meters ^2

ANSWER: approximately 18.84 meters  

Step-by-step explanation:

The most commonly used equation for circumference is C=2πr.  Where c is the circumference, π is pi (or 3.14159...), and r is the radius.

In your equation, you are given diameter.  Remember that the radius is half of the diameter.  So, in this case, the radius, r, is half of 6, or 3 meters.

Now, substitute the radius into the equation for circumference, and you get:

C= 2π(3)

=approximately 18.84 meters

What you know have found is the distance around the circle.

Answer:

1/8 cup of milk in each slice of Bread

Step-by-step explanation:

Uisng the ratio concept, the number of charms that should be put into each group would be 12 and 18 respectively

Given the Parameters :

The group with 2 :

[2 ÷ (2+3)] × 30

(2 / 5) × 30

= 12

The group with 3 :

[3 ÷ (2+3)] × 30

(3 / 5) × 30

= 18

Hence, each group will have 12 and 18 charms respectively

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The linear equation that models how much Ally saves for a computer each month is y = 25x + 100, where x is the number of months that have passed, and y is the total amount saved. After 6 months, her savings will be $250. It will take her 44 months to have $1200 to purchase the computer.

An equation is a mathematical statement that shows that two expressions are equal. Equations use an equals sign (=) to show that the values of the expressions on either side of the sign are equal. It can include variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division

Let x = the number of months

y = total amount she saves

If she currently has $100 in her bank account and she plans on saving an additional $25 each month, then the linear equation to model how much she saves is:

y = $25x + $100

y = 25x + 100

After 6 months, the equation becomes:

y = 25(6) + 100 = 150 + 100 = $250

So after 6 months, Ally will have saved $250.

To find the number of months it will take to reach the goal of $1200, we can rearrange the equation and solve for x:

$1200 = 25x + 100

$1100 = 25x

x = 44

It will take 44 months, or approximately 3 years and 8 months, for Ally to reach her savings goal of $1200.

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Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

Answer:

(11b^2 + 7) (11b^2 - 7)

Explanation:

Since both terms are perfect squares, factor using the difference of squares formula,  a^2 - b^2 = (a + b) (a - b) where a = 121b^4 and b = 49

Answer:

D

Step-by-step explanation:

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

sorry I don't know you can tell answer

Answer:

I had the project and this is what I submitted. Make sure you rewrite it in your own words to avoid plagiarism and I got 100% on the assignment. Enjoy :)

Step-by-step explanation:

Had the project and all these answers are correct

Answer:

1,3,5,7,9,11,13,15,17,19

add them all together

= 100

Step-by-step explanation:

hope this works :)

The table of values when the missing parts are completed is

In      7    15    20    22   9        x      (y - 1)/3    2x        x + 3

Out  22   46   61    67   28   3x + 1      y         6x + 1    3x + 10

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

The table of values

On the table of values, we can see that

The output value is 1 more than three times the input value

This can be expressed as

y = 3x + 1

When In = 22, we have

Out = 3 * 22 + 1 = 67

When Out = 28, we have

3 * In + 1 = 28

In = 9

When In = x, we have

Out = 3 * x + 1 = 3x + 1

When Out = y, we have

3 * In + 1 = y

In = (y - 1)/3

When In = 2x, we have

Out = 3 * 2x + 1 = 6x + 1

When In = x + 3, we have

Out = 3 * (x + 3) + 1 = 3x + 10

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Step-by-step explanation:

a)

(6x^3 + 9x^2 + 4x + 7 - 17x^2 - 8x + 8)(2x + 3 - 7x - 11)

\( \sf \frac{(6x^3 + 9x^2 + 4x + 7 - 17x^2 - 8x + 8)}{(2x + 3 - 7x - 11)}\)

\( \sf = \frac{(6(10)^3 + 9(10)^2 + 4(10) + 7 - 17(10)^2 - 8(10) + 8)}{(2(10) + 3 - 7(10) - 11)}\)

\( = \frac{ - 5175}{58}\)

4x^2 - 7 + 1/(2x + 3 - 7x - 11)

\( \sf{ 4x^2 - 7 + \frac{1}{(2x + 3 - 7x - 11)}}\)

\( \sf{ 4(10)^2 - 7 + \frac{1}{(2(10) + 3 - 7(10) - 11)}}\)

\( = \sf \frac{22793}{58}\)

Answer:

As a claustrophobia, I can ????

O 35°, 35°, 20°

A rational number is one which can be represented as a ratio between two numbers. 1.234+5.7 = 6.934, which can easily be represented as a ratio like 6934/1000.

I disagree. Mr. Brown’s interquartile range is 13, while Mrs. Nelson’s is 9. A lower interquartile range means her scores are closer to her class median.

hoping this is what you are looking for

To answer this question, we need to take care that we have a right triangle. In this case, we can use the trigonometric ratios, such as sine, cosine, tangent (at least).

We also need to take care of the reference angle. In this case, the reference angle is theta. We also have the measure of the opposite side of theta, and the measure of the length of the hypotenuse.

Therefore, we can use sine of the angle, since:

That is the opposite side divided by the measure of the length of the hypotenuse. Then, we have:

However, to find the measure of the angle we need to use the inverse function of the sine, that is, the arcsine or sin^-1:

Then, we have:

Thus, rounded this value to the nearest tenth, we have that:

Therefore, the correct answer is option D (17.9 degrees).

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

Answer:

Answer. Step-by-step explanation: The answer is 0.8 because if something is 10 x of something in decimal terms it would be the number after the decimal getting smaller.

Answer:

y=4x-7

Step-by-step explanation:

Add 12x to both sides to get 3y=12x-9

Divide by 3 to get y=4x-3

If the line is parallel, the slope is still 4x. So it is y=4x+n.

If in the coordinate point, x=2, and y=1, then the equation is now:

1=(4*2)+n, or 1=8+n

Subtract 8 from both sides to get n=-7

So, the equation is y=4x-7

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Answer:

153 in²

Step-by-step explanation:

first look at yellow area, then red area, then green area.

48 + 50 + 55 = 105 + 48 = 153 in²

hope this helps ^-^

F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.

If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.

Explanation:

Instance 1

Inverse functions of both functions can be found using the first method.

Example.

Inverse of f (x) = x + 7 is what we're looking for.

We attempt to determine x using the equation y = x + 7.

y = x + 7

Inferring that g (x) is the inverse of f (x) from the fact that x = y 7

Finding g (x inverse )'s is now necessary.

g( x ) = x − 7

y = x − 7

x = y + 7

As a result, we discovered that f (x) is the inverse function of g (x).

f and g are equal if g is inverse of f and vice versa.

The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.

Example:

f ( g ( x ) =  [ x − 7 ] + 7

G ( x ) placed as x is the expression in brackets.

f ( g ( x ) ) = x − 7  + 7 = x

g (f ( x ) =  [ x + 7 ] − 7

f ( x ) inserted as x is the expression in brackets.

g ( f ( x ) ) = x + 7 − 7 = x

The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.

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Answer:5 8

Step-by-step explanation:left 2 up 3

Answer:

c) 135

Step-by-step explanation:

dog ratio is 3

45 ÷ 3 = 15

therefore ratio 1 is 15

ratio 9

9×15 = 135

Complex number is in the form a +bi

As given in the question, a = 7  b = 0

therefore, the answer is 7 + 0i

The complex number is basically the combination of a real number and an imaginary number. The complex number is in the form of a + ib, where a = real number and ib = imaginary number. Also, a , b belongs to real numbers and i = √-1.

Hence, a complex number is a simple representation of addition of two numbers, i.e., real number and an imaginary number. One part of it is An equation of the form z= a+ib, where a and b are real numbers, is defined to be a complex number. The real part is denoted by Re z = a and the imaginary part is denoted by Im z = ib.

             Z = a + bi purely real and the other part is purely imaginary.

Any number which is present in a number system such as positive, negative, zero, integer, rational, irrational, fractions, etc. are real numbers. It is represented as Re(). For example: 12, -45, 0, 1/7, 2.8, √5, etc., are all real numbers.

The numbers which are not real are imaginary numbers. When we square an imaginary number, it gives a negative result. It is represented as Im(). Example: √-2, √-7, √-11 are all imaginary numbers.

For Example:

The complex numbers were introduced to solve the equation x2+1 = 0. The roots of the equation are of form x = ±√-1 and no real roots exist. Thus, with the introduction of complex numbers, we have Imaginary roots.

We denote √-1 with the symbol ‘i’, which denotes Iota (Imaginary number).

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Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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