f(x) = 5 cos (2x)
Graph

Answer:

3 - 9g = -8g + 4

-9g + 8g = 4 -3

g = -1

Answer: 16, 64, and 49

Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.

11 is not a perfect square since nothing can

be multiplied by itself to give us 11.

The same is true for 62 and 15.

16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.

That number is 4 since 4 × 4 = 16.

64 is also one since 8 can be multiplied by itself twice to give us 64.

49 is also one since 7² or 7 × 7 is 49.

Answer:D,E and F

Step-by-step explanation:

Perfect squares are numbers in which their square roots are whole numbers.

From the options

√16 =4

√64 =8

√49 =7

Answer:

Step-by-step explanation:

The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.

That makes "water" the dependent variable, and "rice" the independent variable.

  The amount of water is the dependent value.

  The amount of rice is the independent value.

Answer:

The amount of water is the dependent value.

The amount of rice is the independent value.

Step-by-step explanation:

Answer:

It is 124 degrees.

Step-by-step explanation:

You square each coordinate like this:

sqrt(x^2+y^2 )

You will end up getting sqrt(53 and sqrt(10.

Then find the dot product which is -6+-7=-13.

Then cos^-1(-13/sqrt53*sqrt10)

=124 degrees

Answer:

236

Step-by-step explanation:

Answer:

d 150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Answer:

  about 76.2°

Step-by-step explanation:

The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.

  Tan = Opposite/Adjacent

  tan(angle) = (33,500/8,200)

  angle = arctan (335/82) ≈ 76.246°

The angle of elevation is about 76.2°.

Answer:

2^5

Step-by-step explanation:

2^5 = 32

3^3=27

1^10 =1

5^2 = 25

Answer:

2^5

Step-by-step explanation:

Look at the attachment

Answer:

1/2 cup of sugar

Step-by-step explanation:

She needs to multiply 1/8 cup of sugar by 4 to make the entire recipe since 18 cup of sugar is only good for a fourth of the recipe.

Answer:

  87,300,000,000,000,000

Step-by-step explanation:

The E16 is a way to write ×10¹⁶ that is used by some computers, spreadsheets, and calculators. As with any decimal number, the exponent of 10 tells you the number of decimal places between the place with that value and the decimal point.

  8.73E16 = 8.73×10¹⁶ = 87.3×10¹⁵ = 87.3 × 1,000,000,000,000,000

  = 87,300,000,000,000,000

_____

Some places, the "standard form" is 8.73×10¹⁶.

Answer:

[tex]y=6,850x - 13,456,500[/tex]

Step-by-step explanation:

To find the linear model, we need to find a linear equation, where its slope is defined as

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

So, we use the given points (1970, 38000) and (1990, 175000), to find the slope

[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]

Now, we use the point-slope formula to find the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]

Therefore, the linear model is

[tex]y=6,850x - 13,456,500[/tex]

Answer:

Step-by-step explanation:

Developing a frequency distribution of the ungrouped data simply means creating a structure (table) for the data. It is a method of converting an ungrouped data into a grouped data for proper analysis of the data.

The table will contain the values, their frequency (this means the number of times individual values occurs based on the classes) and the tally.

Check the attachment for the table.

Given the ungrouped data 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3. The total number of data collected is 20. From the frequency distribution table, it can be seen that the total frequency is 20 which shows that all the values have been catered for.

Answer:

a² - 14a - 15 = 0 (quadratic equation)

Emily's age = 15 years

Tuli's age = 15 - 10 = 5 years

Step-by-step explanation:

let

Emily age = a

Tuli age =  a - 10

Two years ago their ages will be as follows.

Emily's age = a - 2

Tuli's age = a - 10 - 2 = a - 12

The product of their ages 2 years ago is 39.

(a - 2)(a - 12) = 39

a² - 12a - 2a + 24 - 39 = 0

a² - 14a - 15 = 0 (quadratic equation)

To get a

a² + a - 15a - 15 = 0

a(a + 1) - 15(a + 1)

(a + 1)(a - 15)

a = -1 or 15

we can only use 15 as it is positive.

Answer:

Your answer is A . part to whole .

Step-by-step explanation:

hope it helps!

Can I get brainliest !

Answer:

16 pigs and 27 ducks

Step-by-step explanation:

Let the number of pig be x

And let the number of ducks be y

X+y = 43.... equation 1

each duck has exactly two legs and each pig has exactly four leg.

Total leg is 118

4x + 2y = 118 ..... equation 2

X+y = 43

4x + 2y = 118

4(X+y = 43)

4x +4y = 172

4x + 2y = 118 - 4x +4y = 172

-2y = -54

Y = 27

If y = 27

X+y = 43

X = 43-27

X= 16

Answer:

30

Step-by-step explanation:

1/3 of 60 is 20

40 would be left

1/4 of 40 is 10 so 30 would be left

Answer:

x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I think it's number two

Answer:

A, first one

Step-by-step explanation:

Answer:

(k + 7) • (k - 6)

Step-by-step explanation:

Final result :

 (k + 7) • (k - 6)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "k2"   was replaced by   "k^2".

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  k2+k-42

The first term is,  k2  its coefficient is  1 .

The middle term is,  +k  its coefficient is  1 .

The last term, "the constant", is  -42

Step-1 : Multiply the coefficient of the first term by the constant   1 • -42 = -42

Step-2 : Find two factors of  -42  whose sum equals the coefficient of the middle term, which is   1 .

     -42    +    1    =    -41

     -21    +    2    =    -19

     -14    +    3    =    -11

     -7    +    6    =    -1

     -6    +    7    =    1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  7

                    k2 - 6k + 7k - 42

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (k-6)

             Add up the last 2 terms, pulling out common factors :

                   7 • (k-6)

Step-5 : Add up the four terms of step 4 :

                   (k+7)  •  (k-6)

            Which is the desired factorization

Final result :

 (k + 7) • (k - 6)

Answer:21

Step-by-step explanation:9+10

Answer:

B,C,D.F

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer : C  when this graph passes trough x-axis

The zeros of the quadratic function are -3 and 1 represented by this graph.

A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The zeros of the quadratic function can be determined as the intersection of lines or functions on the x-axis only.

The zeros of the quadratic function are -3 and 1.

Learn more about quadratic function ;

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Answer:

5/1

Step-by-step explanation:

40/27

20/9

10/3

5/1

divided by 2 and 3 each other!

Answer:

27.5 pages read per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find a-score of both

z-score = (x-mean)/SD

for 120

z =( 120- 180)/34 = -1.765

For 155

z = (155-180)/34 = -0.735

The probability to look for using z-score table is;

P(-1.765<z<-0.735) = 0.19239

Answer:

b = -2

Step-by-step explanation:

Start with your given:

-3b + 7 = 13

Subtract 7 on both sides:

-3b = 6

Then, divide -3 on both sides and solve:

b = -2

Answer:

b = -2

Step-by-step explanation:

You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.

Hope this helps.

Answer:

a=90-67=23°

.................

Answer:

Check the explanations

Step-by-step explanation:

According to given information, an instructor at a major research university occasionally teaches summer session and notices that that there are often students repeating the class. On the first day of class, she counts 105 students enrolled, of which 19 are repeating the class. The university enrolls 15,000 students.

Therefore the number of observation n 105 and enrolled x=19

1. An estimate of the population proportion repeating the class is given by:

c) 0.181.

Explanation:

19 --0.18090,181 n 105

2. The instructor wishes to estimate the proportion of students across campus who repeat a course during summer sessions and decides to do so on the basis of this class. Would you advise the instructor against it and why:

d) Yes, because this class is not a random sample of students.

3. The standard error for the estimated sample proportion is given by:

c) 0.0376.

Explanation:

SE  [tex](\hat{p})=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

0.181 × (1-0.181) 105

0,0376 0.0376

4. A 95% confidence interval is given by:

c) 0.107, 0.255.

Explanation:

In order to determine the 95% confidence interval we follow the following step:

Where the z value is determined from the standard normal table as ~ 1.96

[tex]\hat{p}\pm \left [z\times SE(\hat{p}) \right ][/tex]

0.181 ± (1.96 × 0.0376)

0.181 ± 0.0737

Therefore the lower confidence interval is

LCI= 0.181- 0.0737

LCI= 0.107

Therefore the upper confidence interval is

UCI = 0.181 + 0.0737

UCI0.255

Therefore 95% confidence interval is

[tex]\left (0.107,0.255 \right )[/tex]

5. She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are:

d)[tex]0 :P = 0.10 and H_{a}:p\neq 0.10[/tex]

Explanation:

She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are defined on the basis of observation,

Null hypothesis as:

[tex]H_{0}[/tex]:p= 0.10

and alternative hypothesis as:

[tex]H_{a}:p\neq 0.10[/tex]

6. The test statistic for this hypothesis is given by:

c) 2.765.

Explanation:

In order to determine the z test statistics as:

Z=[tex]\frac{\hat{p}-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}[/tex]

 0.181 - 0.10 0.10x (1-0.10)

 =2.765

7. The P value for this test is:

c) 0.01>P>0.005 .

Explanation:

P value is calculated as:

P(Z > 2.765) 0.002845 for one tail test and

P(Z > 2.765) 0.005692 for two tail test.

8. Based on the p-value found:

b) we have strong evidence that the proportion of students repeating a class during summer sessions is not 10%.

Explanation:

As the z observed is more than the tabulated z value at 95% as:

[tex]Z_{observed}=2.765> Z_{tabulated}=1.96[/tex]

and also P value is less than the [tex]\alpha =1-0.95=0.05[/tex]

[tex]P(Z\geq 2.765)=0.005692< \alpha =0.05[/tex]

Therefore we accept the alternative hypothesis and we may conclude that we have strong evidence that the proportion of students repeating a class during summer sessions is not 10%.

Answer:

Average systolic blood pressure = x = 130

Standard deviation = s = 6

Step-by-step explanation:

We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.

According to the empirical rule:

a) 68% values lie within 1 standard deviation of the mean

b) 95% values lie within 2 standard deviation of the mean

c) 99.7% values lie within 3 standard deviation of the mean

So, 99.7% value will lie within 3 standard deviations from the mean.

We can express this range as:

( x - 3s, x + 3s)

= (130 - 3(6), 130 +3(6))

= ( 130 - 18, 130 + 18)

= ( 112, 148 )

Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town

Hope this helps!!!

The interval of systolic blood pressures that represent the middle 99.7 of males is (90, 120).

Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.

Given that,

For males in a certain town, the systolic blood pressure is normally distributed.

Mean, μ = 105

Standard deviation, σ = 5

Using empirical rule, we can say that 99.7% of males having the systolic blood pressures observed following a normal distribution lies within 3 standard deviations of the mean.

So the interval is (μ ± 3σ).

That is, (105 - 3×5, 105 + 3×5) = (90, 120)

Hence the required interval is (90, 120).

Learn more about Empirical Rule here :

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