Find the value of x

Answer:

0.62

Step-by-step explanation:

1. We assume, that the number 62 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 62 is 100%, so we can write it down as 62=100%.

4. We know, that x is 1% of the output value, so we can write it down as x=1%.

5. Now we have two simple equations:

1) 62=100%

2) x=1%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

62/x=100%/1%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1% of 62

62/x=100/1

(62/x)*x=(100/1)*x       - we multiply both sides of the equation by x

62=100*x       - we divide both sides of the equation by (100) to get x

62/100=x

0.62=x

x=0.62

now we have:

1% of 62=0.62

The length the line segment DF is 21 units

What is Similarity of Triangles?

Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.

Since, the question is incomplete I can only assume that the traingles are similar

So, by rule of similarity we can say that ED/BA = DF/AC

by this 15/5 = DF/7

This implies that the length of DF is 21 units

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The area of glass used to make the window is 3200 sq. cm.

A kite is a member of quadrilateral which has two diagonals. The area of a kite can be determined by;

area of a kite = (length of diagonal 1 * length of diagonal 2) / 2

Therefore to determine the square meter of glass used to make the window in the given question, we have;

length of diagonal 1 = 40 + 40

                                 = 80 cm

length of diagonal 2 = 35 + 45

                                  = 80 cm

area of the window = (80*80)/2

                                 = 6400/2

area of the window = 3200 sq. cm.

Therefore, 3200 sq. m. of glass was used to make the window.

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To determine whether the situation describes the Permutation or Combination.

Explanation:

It is given that,

1) The junior class selects 3 representatives to the student council.

Since, there is no order.

Then, it is a combination.

2) The swim team must choose a captain and co-captain.

Since there is an order, the swim team must choose.

Then, it is a Permutation.

3) A sandwich made with 3 of the 25 available toppings.

Since there is no order.

Then, it is a combination.

4) A locker has a 5digit code that must be entered to open it.

Since there is an order.

Then, it is a Permutation.

We can calculate the percent of the price that is excise tax by dividing the amount of tax per gallon by the final price of the gallon.

If the tax is 0.16 per gallon and the final price is 1.25 per gallon, the percentage can be calculated as:

The percentage that is city excise tax is 12.8% of the final price of the gasoline.

Answer:

f(x) = 12x = 10

Step-by-step explanation:

We need a linear equation in the slope-intercept form.

y = mx + b

where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value

Let's look in the table.

1 hour: $22

2 hours: $34

The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.

The difference in time between 1 hour and 2 hours is 1 hour.

In 1 hour he earns $12. That means the slope is 12.

We know he earns $22 for working a total of 1 hour.

Start at 1 hour and $22 on the table.

Subtract 1 hour from 1 hour to get 0 hours.

Subtract $12 form $22 to get $10.

That means for 0 hours he gets $10. b = 10

The equation is

y = 12x + 10

In function form, we have:

f(x) = 12x = 10

Here we want to find a linear relation with only using the data in a table, we will find that the line is:

\(y = 12\cdot x + 12\)

We know that Damian's earns a set amount plus an hourly wage, then this can be modeled with a linear equation:

\(y = a\cdot x + b\)

Where a is the slope, which in this case is the hourly wage, and b is the y-intercept, which in this case is the set amount.

Such that x is the number of hours and y is the pay.

We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be given as:

\(a = \frac{x_2 - x_1}{y_2 - y_1}\)

By looking at the table we can find two points of our line, for example, if we use the first and third points:

(1, 22) and (2, 34) then the slope will be:

\(a = \frac{34 - 22}{2 - 1} = 12\)

Then the line is something like:

\(y = 12\cdot x + b\)

To find the value of b, we can use one of the points, for example, the point (1, 22) means that when x = 1, we must have y = 22.

Replacing that in the above equation we have:

\(22 = 12\cdot1 + b\\\\22 = 12 + b\\\\22 - 12 = b = 12\)

Then the equation of the line is:

\(y = 12\cdot x + 12\)

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\((f \times g)(x) = f(x) \times g(x)\)

\((f \times g)(x) = (3x + 2)( {x}^{2} + 1) \\ \)

\((f \times g)(x) = 3 {x}^{3} + 2 {x}^{2} + 3x + 2 \\ \)

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The rate of change is 7 more of function A than the slope of function B.

Slope is calculated as the ratio of "vertical change" to "horizontal change" between any two points on a line, or any two points. When the ratio is expressed as a quotient ("rise over run"), the same number is provided for every two distinct locations on the same line. There is a negative "rise" on a descending line.

Since y=8x+3,

The rate of change in equation A is equal to the slope m m=8.

The rate of change, m=1, is given in equation B.

y=mx+ is the solution to equation B.

By substituting the values we get,

y=x+4

Calculate the difference between the rates of change of function A and function B.

8-1=7

Therefore, the rate of change is 7 more of function A than the slope of function B.

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The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Answer:

b!vch I am up b!vch I am up b!vch I am up

Answer:

1863/275=6.7745recurring

Step-by-step explanation:

Dont u have a calculator

Answer:

14 1/13

Step-by-step explanation:

13/4*13/3=169/12=14 1/13

Answer:

16.67

Step-by-step explanation:

Each side is about 4.167 yards so the perimeter is roughly 16.67 yards

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Simplify the given expression (x+8y)+(-7x-4y) in the simplest form is equal to -6x + 4y.

As given in the question,

Given expression is equal to :

(x+8y)+(-7x-4y)

Simplify the given expression (x+8y)+(-7x-4y) into simplest form we get,

(x+8y)+(-7x-4y)

Collect all the like terms and simplify it as per the given operation we have,

= ( x + (-7x)) + ( 8y + (-4y))

= ( x -7x) + ( 8y -4y)

Simplest form of the given expression is equal to

= -6x + 4y

Therefore, simplify the given expression (x+8y)+(-7x-4y) in the simplest form is equal to -6x + 4y.

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Answer:

B.-7.34

Step-by-step explanation:

Because it's a repeating number

a)  slope of the line based on the context is 14.75

b)  y-intercept of the line based on the context is 861.82

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given equation:

y = 14.75x+861.82

Now, using the general form

y= mx+ c

Now, comparing it with the given equation

m=14.75

and c= 861.82

a)  slope of the line based on the context is 14.75

b) y-intercept of the line based on the context is 861.82

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Answer:

1

5

3

in order

Step-by-step explanation:

First, note that the degree of a polynomial is the value of the highest exponent in the polynomial

There will be as many solutions as there are degrees

1.  - 6x − 9y = 2 has degree 1 since x == x¹ so 1 solution

2. \(2x^5-x^4+2x^3-6x^2+2x\:+\:4=0\) has degree 5 so 5 solutions

3. \(-4x^3 - 10x^2+7x+5\) has degree 3 so 3 solutions

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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In triangle it is given that,

→ Height (h) = 38 cm

→ Base (b) = 44 cm

The formula we use,

→ Area of triangle = ½ × b × h

Now we have to,

find the area of the triangle,

→ ½ × b × h

→ ½ × 44 × 38

→ (44 × 38)/2

→ 1672/2 = 836 cm²

So, 836 cm² is area of triangle.

Answer:

a) 88

b) 162 $

Step-by-step explanation:

Given Bryan sold 9 more flowers than Elan

1/4 x - 1/5 x = 9

x/20 = 9

x = 180

Flowers with Bryan = 45

Flowers with Elan = 36

45+36 = 81

Remaining flowers = 99

Flowers with Fiona = 8/9 * 99 = 88

Answer:

(A)  " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

Step-by-step explanation:

Answer:

yes number 7 is included in this interval .

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

Answer:

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL

This means that \(\mu = 30.8, \sigma = 4.371\)

What is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL?

This is the pvalue of Z when X = 39.73 subtracted by the pvalue of Z when X = 36.84.

X = 39.73

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{39.73 - 30.8}{4.371}\)

\(Z = 2.04\)

\(Z = 2.04\) has a pvalue of 0.9793

X = 36.84

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{36.84 - 30.8}{4.371}\)

\(Z = 1.38\)

\(Z = 1.38\) has a pvalue of 0.9162

0.9793 - 0.9162 = 0.0631

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Answer:

S= 76, T= 76, U= 104, R= 104

Y=104, V= 104, X= 76, W= 76

Step-by-step explanation:

Opposite Angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure).

U and V are alternating angles

so U and  are 104

i d k the last one am so sorry

The answer to this Question based on website is

What is website?

It is form of storage of information in well ordered way

Solution:

As we know she earns 0.75$ per set she sells in her website

and she sold 8 sets

hence total money he could earned = 8*0.75 = $6

but she made only = 2.25$ because remaining money she paid as website fee which was 6 - 2.25 = 3.75$

hence each week she has to pay 3.75$ as website fee so we can calculate his profit equation as follows

profit = 0.75x - n/7(3.75)

where x is no of sets sold on website and n is number of weeks in which these sets were sold

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Answer:

9514 1404 393

Answer:

 $67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

 P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

 P = $67,200

The amount invested was $67,200.

Step-by-step explanation:

the correct answer is negitive one hundred eighty (-180)