L 10.1.2 Exam: Semester Exam
Find the value of x.
20°
(3x + 2)
O A. 6
O B. 20
O c. 7
O D. 5

Answer:

3/14

Step-by-step explanation:

12/56 is equivalent to 3/14

Answer:

14

Step-by-step explanation:

We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.

Answer:

Solution given:

[tex] sin x=\frac{7}{25}[/tex]

[tex]Cosx=\frac{24}{25}[/tex]

Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]

Tan x=[tex] \frac{7*25}{24*25}[/tex]

tan x=[tex] \frac{7}{24}[/tex]

is a required answer.

The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).

The function:

y = -f(x)

Let f(x) be:

f(x) = -aˣ

Here 'a' is the real number a > 0

f(x) is decreasing on the interval ( 5, 7).

Applying transformation:

y = -f(x)

y = aˣ

Function y is increasing on the interval ( 5, 7).

Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:  [tex]\frac{\pi}{18}[/tex]

Step-by-step explanation:

To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.

Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]

Answer:

well Liam is right that is the same statement

Answer:

44

Step-by-step explanation:

if 22 miles = 1/2

then, 22 times 2 = 44 miles

ANSWER= 44 miles

Answer:

151 students must be selected.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be $25.

This means that [tex]\sigma = 25[/tex]

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean

This is n for which M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 1.96*25[/tex]

[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]

[tex]n = 150.1[/tex]

Rounding up:

151 students must be selected.

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]

In this question:

Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]

The function is:

[tex]h(x) = -x^2 - 5x + 14[/tex]

[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]

[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]

Then

[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]

The average rate of change of the function over the interval is of 6.

Answer:

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer:

g. True

h. False

i. False

Step-by-step explanation:  

g.  

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]  

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]  

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]  

The numerator is 1 * 1 which is 1  

And then the denominator is 7 * 2 which is 14  

That would give you [tex]\frac{1}{14}[/tex]

h.  

The products of two reciprocals is 0  

This is not true  

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.  

Ex:  [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]  

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]  

2 * 8 = 16  

8 * 2 = 16  

[tex]\frac{16}{16} = 1[/tex]

i.  

A whole number does not have a reciprocal  

This is incorrect. If you think about it, a whole number is just the number, over 1  

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

Answer:

240

Step-by-step explanation:

Divide 14.4 by 0.06, as the total distance is 14.4 kilometers and lifeguards are stationed every 0.06 kilometers.

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

Answer:

Solution given:

l=4cm

b=3cm

h=5cm

volume=l*b*h=4*3*5=60cm³

Answer:

y= 3/5x+5

Step-by-step explanation:

The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5

Answer: The Diagram of the refracted angle is attached below

answer :  ∅ = cos^-1 ( w/d )

Step-by-step explanation:

The trigonometric expression for the refracted angle  

with respect to ; Distance ( d )  and width ( w )

Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )

where; adjacent = W . Hypotenuse = d

back to equation 1

Cos ∅ = w / d

∴ ∅ = cos^-1 ( w/d )

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

Answer:

After 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.

Step-by-step explanation:

Given that the school canteen charges Rs 42 for lunch and Rs 8 for milk for each day, to determine how much money do you spend in 5 days on these things, the following calculation must be performed, using the distributive property:

(42 + 8) x 5 = X

50 x 5 = X

250 = X

Therefore, after 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.

Answer: is 43.1

Step-by-step explanation:

Answer:

i think it's 0.66666666666 or 1.5

Answer:

The quotient is 1.5.

Step-by-step explanation:

Answer:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4

Step-by-step explanation:

B: a+ 1/4b Hope this helps!

B. [tex]a + \frac{1}{4} b[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8

Step-by-step explanation:

The domain is number of classes she can/will take, therefore the domain is between 1 and 8.

Answer:

See image

Step-by-step explanation:

I clicked submit and it was right

Also dude I remember doing this and struggling before

Answer:

Step-by-step explanation:

The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.

9514 1404 393

Answer:

  B.  y = x + 0.5

Step-by-step explanation:

The y-intercept of 0.5 eliminates choices A and C.

When x increases by 1, y increases by 1, eliminating choice D.

The equation of choice B is graphed.

  y = x + 0.5

Answer:

3 DAYS IS 10800 WATTS.

Step-by-step explanation:

3600 WATTS × 3 DAYS =10800 WATTS.

Answer:4000 per year

Step-by-step explanation:

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

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