Which of the following values is the solution of 3m = 45

Answer:

Easy. 1+x=9 sounds like the highest factor for x

Answer:

4, 3, 0

Step-by-step explanation:

Let f(y)=x.

[tex]x=-\frac{1}{2}\sqrt{y+3} \\ \\ -2x=\sqrt{y+3} \\ \\ 4x^2=y+3 \\ \\ y=f^{-1}(x)=\boxed{4}x^2-\boxed{3}[/tex]

The domain of the inverse is the same as the range of the original function. For the original function, we know that it is decreasing, so the range is

[tex]y\leq -\frac{1}{2}\sqrt{-3+3}=0[/tex]

and hence the domain of our inverse is

[tex]x \leq 0[/tex]

[tex]y=\cfrac{1+cos(x)}{1+sin(x)}\implies \cfrac{dy}{dx}=\stackrel{\textit{\Large quotient rule }}{\cfrac{-sin(x)( ~~ 1+sin(x)~~ )-( ~~ 1+cos(x) ~~ )cos(x)}{( ~~ 1+sin(x) ~~ )^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-sin^2(x)-cos(x)-cos^2(x)}{( ~~ 1+sin(x) ~~ )^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-( ~~ sin^2(x)+cos^2(x) ~~ )}{( ~~ 1+sin(x) ~~ )^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-1}{( ~~ 1+sin(x) ~~ )^2} \end{array}}~\hfill[/tex]

When E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.

We are given that:

E and f are the points on a number line.

We are also given that the distance between E and F is:

EF = 15 units

Now, we know that E lies at 4

E = 4

We need to find the location of the point F

Now, since we also know that:

EF = F ± E

Substituting the values:

15 = F ± 4

We get that:

15 = F + 4   or   15 = F - 4

F = 15 - 4    or   F = 15 + 4

F = 11           or   F = 19

Therefore, we get that, when E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.

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The domain and range of of the graph in interval notation are [-4,3) and (-5,5).

The domain are the independent variables for which an expression or equation exists while the range are the dependent variables for which an expression or equation exists.

The given graph is a piecewise function since there are several lines that make up the graph.

Te domain are values of the function lying along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.

Based on the explanation, we can conclude that the domain of the graph in interval notation will be [-4,3) and the range of the graph will be (-5,5).

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Ratio of A to B is option c 0.86

Given,

Divorce rate in City A = 24.7%

Divorce rate in City B = 28.7%

We have to find the ratio of A to B

First we have to change the percentage to fraction form.

That is,

Divorce rate in City A = 24.7% = 24.7/100

Divorce rate in City B = 28.7% = 28.7/100

Now, ratio of A to B

(24.7/100) : (28.7/100)

Equate this into fraction form.

That is, A : B = A/B

Therefore,

(24.7/100) : (28.7/100)

= (24.7/100) / (28.7/100)

= 24.7 × 100 / 28.7 × 100

= 2470 / 2870

= 0.86 approximately.

That is the ratio of A to B is 0.86.

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Answer: The answer will be in the explanation

Step-by-step explanation:

In step 2 she made the mistake of not dividing the 12/2 and replacing 5 with -13. In step 4 she made the mistake of removing the coefficient. The correct way to do it is this way. Look below on how to do it correctly!

(\sqrt[3]{125}-12/2)(4-6)^2

(5-12/2)(4-6)

(5-6)(4-6)^2

-1(4-6)^2

-1+4

3

Hope this helps owo

Answer:

27.6​ is 40%​ of 69.

Step-by-step explanation:

The perimeter of quadrilateral B is 12 units.

The sides of the quadrilateral are given as:

6, 9, 9, and 12.

Shortest side = 6

Shortest side of the scaled quadrilateral = 2

So, it is reduced by a factor of 3.

So, the sides of the scaled quadrilateral will be given by:

2, 3, 3 and 4.

Perimeter will be adding all the sides.

So, we get that:

The perimeter = (2 + 3 + 3 + 4)

P = 12 units

Hence, the perimeter of quadrilateral B is 12 units.

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1. The five-number summary of the data set is: 20, 27, 29.5, 39, 45.

b. Range = 25

c. Interquartile range (IQR) = 12

Given the data set for fuel efficiencies for vehicles featured in a car-buying guide as: 27, 30, 41, 27, 20, 22, 36, 37, 44, 45, 29, 29, we have five-number summary solved as shown below.

a. Minimum: 20 (smallest data point.)

First Quartile: 27 (center of the first part/half of the data set when ordered)

Median: 29.5 (center of the data set when ordered)

Third Quartile: 39 (center of the 2nd half of the data set when ordered)

Maximum: 45 (largest data point.)

Thus, the five-number summary of the data set is: 20, 27, 29.5, 39, 45.

b. Range = max - min

Range = 45 - 20

Range = 25

c. Interquartile range (IQR) = Third Quartile - First Quartile

Interquartile range (IQR) = 39 - 27

Interquartile range (IQR) = 12

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Answer:

5; 12; 24; 12.

Step-by-step explanation:

1) if D is midpoint, then 2*CD=CE, it means

2) 2(x+7)=5x-1; ⇔ 3x=15; ⇒ x=5;

3) CD=x+7; ⇒ CD=12;

CE=5x-1; ⇒ CE=24;

DE=CD; ⇒ DE=12.

Answer:

h = -13

Step-by-step explanation:

Use PEMDAS to solve this problem.

11h - 5(h + 3) = -63

~Use distributive property to simplify [ a(b + c) = ab + ac ]

11h - 5h + 15 = -63

~Combine like terms

6h + 15 = -63

~Subtract 15 to both sides

6h = -78

~Divide 6 to both sides

h = -13

Best of Luck!

Answer:

Step-by-step explanation:

11h - 5(h + 3) = -63

-Multiply parenthesis so

-5(h) + -5(3) = -5h - 15

New equation: 11h - 5h - 15= -63

                                   +15  +15

(add 15 to both sides)

[tex]6h=-48\\\\\frac{6h}{6} =\frac{-48}{6} \\ \\ h=-8[/tex]

h = -8

The inequality 106q + 5d ≥ $27 represents the different number of dimes and quarters in the cash register.

When two numbers or other mathematical expressions are compared in an unequal way, this is known as an inequality. The number line, it is most frequently used to compare the sizes of two numbers.

The least amount a cash register have is $27.

The cash register has d dimes and q quarters.

We know a dime is worth 10 cents and a quarter is worth 25 cents.

Let x be the number of quarters and y be the number of dimes

So, the inequality that shows that the cash register has at least 27 dollars is:

xq + yd ≥ $27

106q + 5d ≥ $27

The graph of the inequality,

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Answer:

[tex]y=-(x+6)^2[/tex]

Step-by-step explanation:

Shifting 6 units left, we get:

[tex]x^2 \longrightarrow (x+6)^2[/tex]

Reflecting over the y-axis. we get:

[tex](x+6)^2 \longrightarrow -(x+6)^2[/tex]

So, the final equation is

[tex]y=-(x+6)^2[/tex]

In mathematics, a polynomial is a mathematical expression that is the sum of a number of terms that contain the same variable raised to different powers. These come up all the time in the study of mathematics, so it is important to be familiar with them and the different forms we can write them in.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To write a polynomial in standard form, we make sure that any like terms are combined, and then we arrange the terms so that the exponents of each term go in descending order.

For example, consider the following polynomial:

To write this polynomial in standard form, we first look for any like terms that need to be combined, where like terms are terms that have the same variable raised to the same power. We see that 8x and 2x are like terms, so we add these together to turn our polynomial into the following:

Now, we just rearrange the polynomial so that the term with the highest degree goes first, the term with the second highest degree goes second, and so on until the polynomial is arranged so that the exponents go in descending order from highest to lowest.

This gives us our polynomial in standard form.

A polynomial with 3 terms : x² + 3x³ + 27 - x

___________________________________________

Answer:

-1.5

Step-by-step explanation:

Let x be the number

(4x+6)÷2 =-3

2(2x+6)÷2=3

2x+6=3

2x=3-6

2x=-3

x=-3÷2

x=--1.5

The required length of the hose is 20 feet.

Given,

a = 16 feet

b = 12 feet

c = ?  (the required length of hose)

we can use the formula

c = √(a²+b²)

⇒  c = √(16²+12²) feet

        = 20 feet.

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.

The area occupied by a rectangle within its boundary is called the area of the rectangle.

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

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Step-by-step explanation:

and his did u use adding if it's adding or

anything I can help!

Answer:

1: 60 2: 45

Step-by-step explanation:

60, 90, 30 triangle

45 45 90 triangle

From these problems, we have that:

Hence the algebraic expression is: 10 + 9y.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the expression is:

(10 - 3y) - 1.

When y = 3:

(10 - 3 x 3) - 1 = 1 - 1 = 0.

The quotient between two amounts a and b is given by a divided by b. For example, the quotient between 10 and 2 is:

10/2 = 5.

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Step-by-step explanation: I hope this helps.

Answer: The answer is B.

Answer: 20

Step-by-step explanation:

because 8+12=20

Answer:

The answer is D

Step-by-step explanation:

[tex]9^{16}[/tex]   is the exponential form of the number which the expression shows. The expression is a fraction though, so it is [tex]\frac{1}{9^{16} }[/tex]

The slope of the line with the given coordinates (6,1) and (8,9) is 4.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( 6,1 )

Point 2( 8,9 )

Plug the given x and y values into the slope formula and simplify.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 9 - 1 )/( 8 - 6 )

Slope m = ( 8 )/( 2 )

Slope m = 8/2

Slope m = 4

Therefore, the slope of the line with the given coordinates (6,1) and (8,9) is 4.

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The length of the segments AB and BC if AC = 20  then:

AB = 12cm

BC = 8cm

In geometry, a line segment is defined as two different points on a line. In contrast, a line segment is a piece of a line that connects two points. A line has no endpoints and runs indefinitely in both directions, whereas a line segment has two fixed as well as definite endpoints.

Yes. A ray is not the same as a line segment. A ray has one endpoint, but a line segment has two. The ray's one end extends indefinitely, whereas the endpoints of a line segment are always specified and fixed.

We know that:

a:b=c:d as a/b=c/d

AB:BC = 3:2

is AB/BC=3/2

AB=3/2*BC

AC=20=AB+BC

So,

20=3/2*BC+BC

13/2BC=20

BC=8cm

AB=20-8=12cm

The length of the segments AB and BC if AC = 20  then:

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Answer: 0.679 liters

Step-by-step explanation:

A centiliter is a measure of volume equal to one hundredth of a liter

Hence,

53,1*0.01=

0.531 liters

A deciliter is a measure of volume equal to one tenth of a liter

Hence,

7.9*0.1=

0.79 liters

0.531+0.79=

1.321 liters

2-1.321=

0.679 liters

Answer:

x = 5, -1

find the roots and the x

The percent of the computer programmer’s salary deducted for income tax is 17%.

What is percentage of a number?

A percentage is a ratio or number that can be expressed as a fraction of 100. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The proportion therefore denotes a component per 100. A percentage of one hundred is what is meant by the word "percent."

Given, weekly wage is $1350 and deduction amount for income tax is $229.50.

The percent of deduction is

[tex]\frac{229.50}{1350} \times 100\\=0.17 \times 100\\=17[/tex]

Therefore, the percent of the computer programmer’s salary deducted for income tax is 17%.

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