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2 years ago

Understanding Translations of the Parent Function question:

Mathematics

1 answer:

Solnce55 [7]2 years ago

5 0

For this case, the first thing you should keep in mind is the vertical asymptote that exists in the function.
We have an asymptote at x = 5.
Therefore, the function is not defined for that value of x.
We have then that the function is given by:
f (x) = 1 / (x-5) + 3
Answer:
f (x) = 1 / (x-5) + 3
option 4

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Write 9,540,000 in expanded form using exponents to show powers of 10

krek1111 [17]

Answer:

$9* 10^{6}+ 5* 10^{5}+4* 10^{4}$ .

Step-by-step explanation:

Given : 9,540,000

To find : Write 9,540,000 in expanded form using exponents to show powers of 10.

Solution : We have given 9,540,000

Here 9 is at million place 9000000

5 is at hundred thousand place = 500,000.

4 is at tens thousand place = 40,000

We expanded it as

9, 000,000 + 500,000+40,000.

In term of power of 10.

$9* 10^{6}+ 5* 10^{5}+4* 10^{4}$ .

Therefore,

$9* 10^{6}+ 5* 10^{5}+4* 10^{4}$ .

6 0

2 years ago

What integer represents a rise in temperature of 19°?

nataly862011 [7]

You would write +19 to indicate an increase of 19

The opposite of that would be -19, read out as negative 19.

7 0

2 years ago

Your company will replace the asphalt roofs on all the buildings at the factory complex shown below. The buildings have flat roo

nataly862011 [7]

Answer: Total area 2800 sq.yards

Step-by-step explanation:

First roof

2 rectangles and 2 trangles

for rectangles area = b*h

then area of one rectangle = 20*30 = 600 sq.yards

We have 2 rectangles then 2 * 600 = 1200 s. yards

for triangles area 1/2 b*h

Then area of one triangle = 0.5* 5*20 = 50 sq.yards

We have 2 triangles then 2 * 50 = 100 sq.yards : 1300 sq.yards

Total area first roof = 1300 sq.yards

Second roof

Area of rectangle = b*h = 25*60 = 1500sq.yards

Total area second roof = 1500 sq.yards

8 0

2 years ago

Body armor provides critical protection for law enforcement personnel, but it does affect balance and mobility. The article "Imp

yKpoI14uk [10]

Answer:

No, there is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that true average task time with armor is less than 2 seconds.

Then, the null and alternative hypothesis are:

$H_0: \mu=2\\\\H_a:\mu< 2$

The significance level is 0.01.

The sample has a size n=52.

The sample mean is M=1.95.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.2}{\sqrt{52}}=0.028$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1.95-2}{0.028}=\dfrac{-0.05}{0.028}=-1.803$

The degrees of freedom for this sample size are:

$df=n-1=52-1=51$

This test is a left-tailed test, with 51 degrees of freedom and t=-1.803, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t$

As the P-value (0.039) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.

3 0

2 years ago

Graded Assignment Unit Test, Part 2: Basic Geometric Shapes Answer the questions below. When you are finished, submit this assig

AfilCa [17]

Answer:

In case (a) car makes 105° turn.

In case (b) car makes 75° turn.

In case (c) car makes 105° turn.

Step-by-step explanation:

Figure is redrawn To explain properly (in attachment)

Given : streets are parallel means $\overline{AB}$ ║ $\overline{CD}$ ,

AB - 4th street , CD - 3rd street and XY - King Ave.

∠XLA = 75°

To find : (a) ∠XLB

(b) ∠LMD (left onto 3rd streat means left of car)

∠XLB + ∠XLA = 180° (Linear Pair = 2 adjacent angles are

supplementary)

∠XLB + 75° = 180°

∠XLB = 180 - 75

∠XLB = 105°

∴ In case (a) car makes 105° turn.

∠LMD = ∠XLA = 75° (Corresponding angles of parallel lines are equal)

∠LMD = 75°

∴ In case (b) car makes 75° turn.

∠YMD + ∠LMD = 180° (Linear Pair = 2 adjacent angles are

supplementary)

∠YMD + 75° = 180°

∠YMD = 180 - 75

∠YMD = 105°

∴In case (c) car makes 105° turn.

8 0

2 years ago