Select the correct answer.
Consider the function fx) = 10' and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of
g(t) = f(x – 6) = 10(– 6)
Answer choice options are above.

Answer:

39

Step-by-step explanation:

Let one angle be x

Then,

Its complementary angle will be =(90-x)

ATQ,

x-(90-x)=12

x-90+x=12

x+x=12+90

2x=102

x=102/2

x=51

Thus,

x=51

(90-x)=(90-51)=39

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Answer:

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

The number of times three signals bee in one hour = 12 times

Step-by-step explanation:

The given parameters are;

The period for each signals beep are;

Signal a beeps every 25 seconds

Signal b beeps every 30 seconds

Signal c beeps every 100 seconds

Therefore, in one hour, signal a will beep 1× 60 × 60/25 = 3600/25 = 144 times

In one hour, signal b will beep 1×60×60/30 = 3600/30 = 120 times

In one hour, signal c will beep 1×60×60/100 = 3600/100 = 36 times

Therefore, we have;

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

From Excel, we can see that the three signals beep the same time at 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300, and 3600

The number of times three signals bee in one hour = 12 times

signal a beeps every 25 seconds

signal b beeps every 30 seconds

signal c beeps every 100 seconds.

Answer to the above questions is 300,600,900 if the signal beep at the same time 12 times

Explanation to the above questions

we conclude that it will beep 12 times because 300,600,900,1200,1500,1800,2100,2400,2700,3000,3300,3600

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Answer:

6 hours

Step-by-step explanation:

Set up a proportion:

15kg/5 hrs = 18kg/x hrs

Cross multiply:

5(18)=15x

90 = 15x

Divide by 15:

90/15 = x

6 = x

Answer:

21

Step-by-step explanation:

Answer:

2x + y = 5 is the required equation.

Step-by-step explanation:

using slope intercept form,

i.e. y = mx + c

or, y =( -2 ) x + 5

or, y + 2x = 5

The required simplified value of x, y,  and z is 2, 2, and 2.

Given that,
The system of the equation is given
4x - 2y +z = 6,
-2x + y = -4,
3y - 2z = 4
And also x= y= z

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Since, x = y = x
taking any one equation
4x - 2y +z = 6
Now,
4x - 2x + x = 6
3x = 6
x = 2

Thus, the required simplified value of x, y,  and z is 2, 2, and 2.

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Answer:

x = 2

y = - 1

Step-by-step explanation:

5x/6 + y/3 = 4/3

2x/3 - y/2 = 11/6

Multiply the above equation by 6 to express in linear form

6 × (5x/6 + y/3 = 4/3)

5x + 2y = 8.... (1)

6 × (2x/3 - y/2 = 11/6)

4x - 3y = 11.... (2)

Thus, the equation are:

5x + 2y = 8.... (1)

4x - 3y = 11.... (2)

Next, multiply equation (1) by 3 and equation (2) by 2. This is illustrated below:

3 × (5x + 2y = 8)

15x + 6y = 24 ..... (3)

2 × (4x - 3y = 11)

8x - 6y = 22 ... (4)

Next, add equation 3 and 4 together. This is illustrated below:

.. 15x + 6y = 24... (3)

+ 8x - 6y = 22 .... (4)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

23x = 46

Divide both side by 23

x = 46/23

x = 2

Next, substitute the value of x into any of the equation. Here, we shall substitute the value of x into equation (3). This is illustrated below:

15x + 6y = 24... (3)

x = 2

15(2) + 6y = 24

30 + 6y = 24

Collect like terms

6y = 24 - 30

6y = - 6

Divide both side by 6

y = - 6/6

y = - 1

Therefore, the value of x and y is

x = 2

y = - 1

Answer:

I will create a five by four matrix to indicate the costs of the products.  The matrix will have five vertical columns and four horizontal rolls.  The vertical columns will show the product categories and the total costs for all the products and decorations.  The horizontal rolls will show the product costs, the decoration costs, and the total costs for each product category.

The size and shape of the matrix will be 5 by 4 with squared boxes.

Step-by-step explanation:

Products/Costs         Hats         Cards      Teddy    Total Costs

Product costs           $2.50       $0.90       $3.10        $6.50

Decoration costs      $1.50       $0.60        $1.70        $3.80

Total costs               $4.00        $1.50       $4.80       $10.30

Answer:

C

Step-by-step explanation:

3/5 + (-1/5) =(3-1)/5=2/5

Answer:

4y

Step-by-step explanation:

To combine like term, add the coefficient of each term

Coefficient of y = 1

Coefficient of 3y = 3

y + 3y = 4y

Answer:

37.5 cm³ .

Step-by-step explanation:

h = 5.3 cm

diameter = 3 cm

r = 3/2 = 1.5 cm

Volume of cylinder = πr²h   {Plug in the values of h & r }

                               = 3.1428 * 1.5 * 1.5 * 5.3

                               = 37.5399

                               = 37.5 cm³

Answer:

37.5cm3

Step-by-step explanation:

Diameter = 3cm

Radius = 3cm÷2

= 1.5cm

Volume of cylinder= πr²h

= π(1.5²)+5.3

= 37.5 (3 S.F.)

Answer:

Approximately 67 square inches.

Step-by-step explanation:

The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

And the sector area of a circle is given by the formula:

[tex]A=\frac{x\textdegree}{360\textdegree}(\pi r^2)[/tex]

Where x is the degree measurement of the sector.

We want to find the sector of the circle with a radius of 8. The degree measurement of the sector is 120. Therefore, plug 8 in for r and 120 for x:

[tex]A=\frac{120\textdegree}{360\textdegree}(\pi(8)^2)[/tex]

The fraction reduces to 1/3. 8^2 is 64:

[tex]A=\frac{1}{3}(64\pi)[/tex]

This is equivalent to:

[tex]A=\frac{64}{3}\pi\\ A\approx67.0206 \text{ in}^2[/tex]

Answer:

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

Step-by-step explanation:

Considering the situation described, it is found that a linear model best represents the data, because there is a relatively consistent additive rate of change.

In this problem, when the input changes by 2, the output always increases between approximately 50 and 60, that is, the same values, hence a linear model best represents the data, because there is a relatively consistent additive rate of change.

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Answer:

P(red or blue) = [tex]\frac{7}{16}[/tex].

Step-by-step explanation:

We have to find P(A or B), if A and B are independent events for one action, such as spinning a four-color spinner once.

Firstly, as we know that the formula for finding P(A or B) is given by;

P(A or B) = P(A) + P(B) - P(A and B)

Since it is stated that event A and B are independent, this means that there is no dependence of any one event on another event, so;

P(A and B) = P(A) [tex]\times[/tex] P(B)

Now, we can find P(A or B) = P(A) + P(B) - P(A) [tex]\times[/tex] P(B); is we know that the probabilities of happening of both events.

Similarly, P(red or blue) = P(red) + P(blue) - P(red) [tex]\times[/tex] P(blue).

Since the event is spinning a four-color spinner once and assuming there are four different colors, so the probability of wheel stopping on each color is ([tex]\frac{1}{4}[/tex]).

So, P(red or blue) = [tex]\frac{1}{4} +\frac{1}{4} -(\frac{1}{4} \times \frac{1}{4} )[/tex]

                             = [tex]\frac{2}{4} -\frac{1}{16}[/tex]  = [tex]\frac{7}{16}[/tex].

Answer:

10 m

Step-by-step explanation:

490[tex]\pi[/tex]=[tex]\pi[/tex](7²)h

490[tex]\pi[/tex]/[tex]\pi[/tex]49=h

10=h

Answer:

A

Step-by-step explanation:

The difference of squares formula is a² - b² = (a + b)(a - b). We want this polynomial to be in the form a² - b². We notice that x² and 49 are perfect squares already which means that we don't need the x term. To get rid of it, its coefficient must be 0 because 0 times anything is 0, thus the x term will be removed and we'll be left with x² - 49 which is a difference of squares.

Answer:

(2, -10)

Explanation:

Reflection over the x-axis puts a negative sign on the x value.

Answer:

-2,10

Step-by-step explanation: i took the test and when doing this you only change the y  but keep the x.

Answer:

135°

Step-by-step explanation:

m<VSR = m<RST + m<VST

Each angle at the vertices of a square is equal to 90°. <RST is one of the vertices of square RSTU, therefore,

m<RST = 90°

also, m<VST = 90 - 45 = 45°

m<VSR = m<RST + m<VST

Thus:

m<VSR = [tex] 90 + 45 = 135 [/tex]

Measure of angle VSR is 135°

The angle VSR will be equal to 135°.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

m∠VSR = m∠RST + m∠VST

Each angle at the vertices of a square is equal to 90°. ∠RST is one of the vertices of square RSTU, therefore,

m∠RST = 90°

also, m∠VST = 90 - 45 = 45°

m∠VSR = m∠RST + m∠VST

Thus:

m∠VSR = 135

Therefore the measure of angle VSR is 135°

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Step-by-step explanation:

Red=4

Blue=3

Yellow=3

Total=10

Pr(BY) without replacement= 3/10 *3/9

=6/90

=1/15

Supplementary angles are those angles which add upto 180°. They may or may not be linear pair.

We have,

Let,

Then,

➝ x + x + 2° = 180°

➝ 2x + 2° = 180°

➝ 2x = 178°

➝ x = 89°

Other angle = x + 2° = 91°

Answer - 89° and 91°

⚘ Hence, solved !!

━━━━━━━━━━━━━━━━━━━━

Answer:

Step-by-step explanation:

Let the numbers are x, x+1

The sum of supplementary angles is 180°

X+x+1=180

2x+1=180

2x=180-1

2x=179

X=179/2

X=89.5

X+1=89.5+1=90.5

The integers are 89.5,90.5

Answer:

Fraction Equivalent Fractions

4/5 8/10 12/15

1/6 2/12 3/18

5/6 10/12 15/18

1/7 2/14 3/21

Step-by-step explanation:

We say that 1/2 is equivalent to 2/4. Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number. This number should be such that the numerators will be equal after the multiplication.

Step-by-step explanation:

The expression 1/4 - 2/3 - (1/2 + 5/6) is equivalent to -7/4.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

The given expression is,

1/4 - 2/3 - (1/2 + 5/6)

To solve the expression, first simplify bracket term,

1/4 - 2/3 - (8/6)

(3 - 8)/12 - 8/6

-5/12 - 8/6

-21/12

-7/4

The simplified form of the expression 1/4 - 2/3 - (1/2 + 5/6) is -7/4.

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Answer:

tan A  = 12/ 35

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan A = CB/ AB

tan A  = 12/ 35

Answer:

Step-by-step explanation:

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Answer:

fifth term

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 4 and a₉ = - 8 , then

a₁ + 2d = 4 → (1)

a₁ + 8d = - 8 → (2)

Subtract (1) from (2)

6d = - 12 ( divide both sides by 6 )

d = - 2

Substitute d = - 2 into (1)

a₁ + 2(- 2) = 4

a₁ - 4 = 4 ( add 4 to both sides )

a₁ = 8

Thus equating the n th term formula to zero and solving for n

8 - 2(n - 1) = 0 ( subtract 8 from both sides )

- 2(n - 1) = - 8 ( divide both sides by - 2

n - 1 = 4 ( add 1 to both sides )

n = 5

The fifth term is equal to zero

Answer:

-32.4

Step-by-step explanation:

-1.2/(-0.4) = 3

-3.6/(-1.2) = 3

-10.8/(-3.6) = 3

Each new terms is the previous term multiplied by 3.

-10.8 * 3 = -32.4

Answer:

1740 N

Step-by-step explanation:

To find the force, you need to multiply the mass by the acceleration.

(60.0 kg) × (29.0 m/s²) = 1740 N

The force will be 1740 N.

Answer: 13.64 cm squared

Step-by-step explanation: Area of a rectangle is l x w so 3.1 x 4.4 = 13.64

Answer:

22.75 .

Step-by-step explanation:

65 x 35  / 100 = 22.75.

The percentage expression 65% of 35 is 22.75

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

65% of 35

Express as products

So, we have the following representation

65% of 35 = 65% * 35

Express 65% as 0.65

So, we have the following representation

65% of 35 = 0.65 * 35

Evaluate the products

So, we have the following representation

65% of 35 = 22.75

Hence, the solution is 22.75

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