What is the unit rate of a line that goes through the points (3,1)?

Step-by-step explanation:

Please this is a wrong question. If you mean square root of 100 then it's 10. As for -100, it's an error.

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

Given:

The sample size n=25

Probability of population is 65 or older is 10.5%.

This date follows the binomial distribution,

To find the probability that at most 2 are 65 or older,

Answer: Probability is 0.504 .

Answer:

0?8

Step-by-step explanation:

Cos(A) = Adjacent/hypotenuse

Cos(A) = 36/45

=0.8

The point at which the beam must be supported so that it may rest horizontally is; 9 meters from the left side

The parameters are;

Mass of beam = 50 kg

Length of beam = 12 m

Mass suspended at left end = 30kg

Mass suspended at right end = 40 kg

Let the support that will make the beam rest horizontally be x from the left side.

Thus, taking moment about the point x from the left side is;

30x + 50(6 - x) = 40(12 - x)

30x + 300 - 50x = 480 - 40x

20x = 180

x = 180/20

x = 9 m

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The solution

Now

The final answer

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Answer:

1x + 2y = (The answer/money spent)

Step-by-step explanation:

Answer:b,d,g,h

Step-by-step explanation:

A function assigns the value of each element of one set to the other specific element of another set. The correct option is B, D, G, and H.

A function assigns the value of each element of one set to the other specific element of another set.

From the given functions the function that has a range of (-∞, ∞) can be found by plotting the graph. Therefore, the parent function that has a range of (-∞, ∞) are:

B. a parent odd-degree power function

D. a parent odd-degree root function

G. a parent logarithmic function with a base greater than 1

H. a parent logarithmic function with a base between 0 and 1

Hence, the correct option is B, D, G, and H.

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Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

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Answer:

2/15

Step-by-step explanation:

Take the fractions of the park for sports and multiply the fraction of the sports that is for soccer.  That will give the fraction of the park that is for soccer

1/3 * 2/5 = 2/15

Answer:

2.3574

Step-by-step explanation:

This question requires us to find the t test statistic given the data in the question.

H0: u = 10

H1: u > 10

Population variance is not known

T = (barX - u)/(s/√n)

u = 10 hours

BarX = 11 hours

Sd = 3 hours

n = 50

(11-10)/(3/√50)

t test = 1/(3/√50)

= 1/0.4242

Test statistic = 2.3574

Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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Answer:

A) Utilization = 70%

Efficiency = 87.5%

B) Utilization = 66.67%

Efficiency = 80%

Step-by-step explanation:

Determine the utilization and the efficiency for each situations:

A. A loan processing operation that processes an average of 7 loans per day. The operation has a design capacity of 10 loans per day and an effective capacity of 8 loans per day.

Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = 7 loans per day

Design capacity = 10 loans per day

Utilization = 7/10 × 100

= 70%

Efficiency = Actual output / Effective capacity × 100

Actual output = 7 loans per day

Effective capacity = 8 loans per day

Efficiency = 7/8 × 100

= 87.5%

B. A furnace repair team that services and average of four furnaces a day if the design capacity is six furnaces a day and the effective capacity is five furnaces a day.

Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = four furnaces a day

Design capacity = six furnaces a day

Utilization = 4/6 × 100

= 66.67%

Efficiency = Actual output / Effective capacity × 100

Actual output = four furnaces a day

Effective capacity = five furnaces a day

Efficiency = 4/5 × 100

= 80%

Answer:

I have 5 apples and give u 2 how much I have

Answer:

the correct option is

C. m<1 + m<2 = 90

Hope it will help :)❤

Answer:

the value of y is -25 + 9√5.

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A small group communication occurs when three or more people work together interdependently for the purpose of accomplishing a task.

Small Group Communication

Small group communication is the term used to describe face-to-face conversation between more than two people. This kind of internal communication exists.

A small group is typically thought of as a collection of three or less people, with a maximum number of twelve to fifteen. A group would not be considered tiny if it had more than fifteen members or if it had just two.

Since almost all businesses and organisations employ people in small squads, there are advantages or even strengths to small group communication. When compared to one individual working alone on a project, it has been found to be more appropriate and produce better results.

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a) The z-score for a sales associate who makes $36,000 is 1.4

b) The percentage of sales associates with salaries between $26,250 and $38,750 is 84%

c)  The percentage of sales associates with salaries between $27,500 and $37,500 is 95.4%

d) The percentage of sales associates with salaries less than $27,500 is 2.3%

e) Yes, the salary of $42000 should be considered as outlier.

Given,

Mean, \(\mu\)=32500

Standard deviation, \(\sigma\)=2500

a)

\(z=\frac{x-\mu}{\sigma}\\\\z=\frac{36000-32500}{2500}=1.40\)

The sales associate who makes 36000 is 1.4 standard deviation above the mean salary.

b)

As per chebyshev's theorem, \((1-\frac{1}{k^2})\) of the observations fall within k standard deviation of the mean, i.e. within \(\mu\pm k\sigma\)

\(z_1=\frac{x_1-\mu}{\sigma}\\\\z_1=\frac{26250-32500}{2500}=-2.50\\\\z_2=\frac{x_2-\mu}{\sigma}\\\\z_2=\frac{38750-32500}{2500}=2.50\)

Hence, we need to find proportion of observations within \(\mu\pm2.5\sigma\)

k=2.5

\((1-\frac{1}{k^2})=1-\frac{1}{2.5^2}=0.84=84\%\)

Hence, 84% of sales associates have salaries between 26250 and 38750.

c)

As per empirical rule for a bell shaped distribution:

\(z_1=\frac{x_1-\mu}{\sigma}\\\\z_1=\frac{27500-32500}{2500}=-2\\\\z_2=\frac{x_2-\mu}{\sigma}\\\\z_2=\frac{37500-32500}{2500}=2\)

Hence, we need to find the proportion of observations within \mu \pm 2\sigma

As per empirical rule, 95.4% of the observations fall within 2 standard deviation of the mean .i.e within \(\mu \pm 2\simga\) .Therefore, percentage of sales associates with salaries between 27500 and 37500=95.4%

d)

\(z_1=\frac{x_1-\mu}{\sigma}\\\\z_1=\frac{27500-32500}{2500}=-2\)

Percentage of sales associates with salaries less than 27500 will be equal to the area under the normal curve to the left z=-2

As per empirical rule 95.4% of the observations fall within 2 standard deviation of the mean

Therefore, the percentage of sales associates with salaries less than 27500 : \(\frac{100-95.4}{2}=2.3\%\)

e)

\(z_1=\frac{x_1-\mu}{\sigma}\\\\z_1=\frac{42000-32500}{2500}=3.8\)

A z-value greater than 3 is considered as an outlier.

Hence, the salary of 42000 should be considered as outlier.

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Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

\(d=-6\)

\(a_9=-49\)

Step-by-step explanation:

If the first term of a sequence is \(-1\) and the second term is \(-7\), then each successive term in the sequence is \(6\) less than the previous term. The common difference is \(-6\) ( \(d=-6\) ).

The formula representing the arithmetic sequence is:

\(a_n=-6n+5\)

Therefore, the ninth term in the sequence is:

\(a_9=-6(9)+5\)

\(a_9=-54+5\)

\(a_9=-49\)

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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