What is the length of a diagonal of rectangle EFGH?

Answer:

zanna's cousin is 17 years older than zanna

Step-by-step explanation:

Answer:

17 years older

Step-by-step explanation:

1997- 1980 = 17

Nice work on getting part (a) correct.

The 261% falls in the "250-300%" range, so they pay 8.5% of their yearly income toward health insurance.

8.5% of $65,500 = 0.085*65500 = 5567.50

That represents the yearly contribution. Divide that by 12 to find the monthly contribution.

5567.50/12 = 463.95833 = 463.96 approximately

Then round to the nearest dollar to get 464

To find f(g(x)), we need to first evaluate g(x) and then substitute the result in f(x). Therefore, we have: f(g(x)) = f(x + 6) = -5(x + 6) = -5x - 30.

To find g(f(x)), we need to first evaluate f(x) and then substitute the result in g(x). Therefore, we have:

g(f(x)) = g(-5x) = -5x + 6

To find f(f(x)), we need to substitute f(x) into the expression for f(x). Therefore, we have:

f(f(x)) = f(-5x) = -5(-5x) = 25x

Therefore, the answers are:

a. f(g(x)) = -5x - 30

b. g(f(x)) = -5x + 6

c. f(f(x)) = 25x

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Pua will use 13, 1/4 cups of oatmeal.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Pua needs 3\(\frac{1}{4}\) cups of oatmeal.

The number of 1/4 cups of oatmeal,

she will use,

= 13/4 ÷ 1/4

= 13

Therefore, she will use 13 cups.

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Answer:

inconsistent; none

Step-by-step explanation:

Because 29 ≠ 94, the system is inconsistent. There are no solutions.

A system of n number of linear equations in n unknowns has an many number of solutions if the coefficients of matrix is unique. The assertion is always accurate. The given statement is always true.

From the question, the given statement is:

A system of n linear equations in n unknowns has an endless number of solutions if the matrix of coefficients is unique. The assertion is always accurate.

The given statement is always true.

Consider the system of equations Ax = b. If A is single, there is no A-inverse. As a result, there is no one approach to solve the system. Then, there are still two options:

We can't tell which condition is right only examining the matrix [A b]. There exists an endless number of solutions if [A b] is equal to A's rank.

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Answer:

6. 13.50/2= 6.25~ about 6 pens

7. 306/24= 12.75 about 13 bags

The height of the sunflower after 9 weeks is 52 inches and the function that represent the height of the sunflower after w weeks = 25 + 3w weeks.

Sophia planted a tiny sunflower in her backyard at the start of spring.

When she planted the sunflower,

The height of the sunflower = Initial height of the sunflower = 25 inches.

Now, The sunflower then began to grow at a rate of 3 inches per week.

Thus, the growth rate of the sunflower = 3 inches/week

The growth in 9 weeks = 3*9 = 27 inches,

The height of the sunflower after 9 weeks = initial height + growth = 25 +27 = 52 inches.

The growth in w week = 3w inches,

The height of the sunflower after w weeks = initial height + growth = 25 + 3w inches.

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Answer:

1/2

Step-by-step explanation:

pick a point on the graph where it hits the x and y line. Go up one unit and two units to the right. you hit another "point". you need to remember the formula rise over run (RISE/RUN). you rose 1 unit and ran 2 units. hence, the answer is 1/2

Medical institution 64 grams of bismuth-214 must be prepared.

A medical institution is a facility in which medical care is provided. It can be a hospital, clinic, nursing home, or other type of health care facility. Medical institutions provide a wide range of services including diagnosis, treatment, and preventive care. In addition to providing direct patient care, they also provide educational opportunities, research, and administrative services. Medical institutions are staffed by a variety of healthcare professionals such as doctors, nurses, allied health professionals, and administrative staff. They are responsible for providing quality care to their patients and ensuring the safety and wellbeing of their staff and visitors.

Given: 2 hours = 20 minutes

If each half life is 20 minutes, and 2 hours (120 minutes) go by,

then n = 6 ( \(\frac{120}{20}\) )

The setup is as follows:

\(1g=m_{i}(\frac{1}{2}) ^{\frac{120}{20} }\)

\(1g=m_{i}(0.015625)\)

\(\frac{1}{0.015625} =64g\)

Hence, 64 grams of bismuth-214 must be prepared if the shipping time is 2 hours.

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\(\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ s=12\\ r=8 \end{cases}\implies 12=8\theta \implies \cfrac{12}{8}=\theta \implies \cfrac{3}{2}=\theta\)

y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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Answer:

Franklin sold 5x bars.

Step-by-step explanation:

Franklin Sells 5x bars. I assume the question is asking for an expression with the usage of X instead of an actual value or when that is attainable. If there's any more information that you can provide, let me know and I'll redo the problem.

Answer:

$481.50

Step-by-step explanation:

(7/100)*(450)=31.50

31.50+450=481.50

The difference between the purchase price of $64 and the sale price of $80 represents a 20% price shift.

To find the percent of change in price between the original price of $80 and the sale price of $64, we can use the formula for percent change:

Percent Change = (|New Value - Old Value| / Old Value) x 100%

where the vertical bars around the (New Value - Old Value) expression represent the absolute value of the difference.

In this case, the old value is $80 and the new value is $64. So, we can substitute these values into the formula:

Percent Change = (|64 - 80| / 80) x 100%

Percent Change = (|-16| / 80) x 100%

Percent Change = (16 / 80) x 100%

Percent Change = 0.2 x 100%

Percent Change = 20%

Therefore, the percent of change in price between the original price of $80 and the Sale price of $64 is 20%. This means that the price of the jacket decreased by 20% from its original price of $80.

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Amely is upset because her pizza lacks cheese. The pizza is round with a radius of R cm, and Amely wants to calculate the amount of cheese on it.

To write a Java code to solve this problem, we can define a method that takes the radius of the pizza as input and returns the area of the cheese. Here's an example implementation:

public class PizzaCheeseCalculator {

   public static void main(String[] args) {

       double radius = 12.5; // Radius of the pizza in cm

       double cheeseToPizzaRatio = 0.75;

       double pizzaArea = calculatePizzaArea(radius);

       double cheeseArea = calculateCheeseArea(pizzaArea, cheeseToPizzaRatio);

       System.out.println("The pizza area is: " + pizzaArea + " cm^2");

       System.out.println("The cheese area is: " + cheeseArea + " cm^2");

   }

   public static double calculatePizzaArea(double radius) {

       return Math.PI * radius * radius;

   }

   public static double calculateCheeseArea(double pizzaArea, double cheeseToPizzaRatio) {

       return pizzaArea * cheeseToPizzaRatio;

   }

}

In this code, the calculatePizzaArea method calculates the area of the pizza using the provided radius. The calculateCheeseArea method takes the pizza area and the cheese-to-pizza ratio as inputs and returns the area of the cheese.Finally , the main method uses these methods to calculate and display the pizza and cheese areas.

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Answer:

Right angle, and angle IJK

Step-by-step explanation:

Answer:

right angle and ijk

Step-by-step explanation:

Answer:   c

Step-by-step explanation:

men- 24

women- 28

for every 6 men there are 7 women on the plane bc 28/24= 1.16

1.16 x 6=7 women

Answer:

Any angles that share a common vertex and side are adjacent angles.

The correct order from best to worst of the sample groups is b→ a→ c.

The study conducted by the City Council of USA incorporates the reviewing for the funding for local sports-related activities.

There are 3 sample groups selected from the population of Anytown residents with an active interest in sports. They are:

a. High-school students at three different schools.

b. People randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar.

c. People randomly approached at a department store and at a shopping mall

All these groups are selected randomly.

But for (b), the people are obviously interested in sports activities, as they are selected from softball tournament, a swim meet, an athletic supply store, and a sports bar.

Next would be (a), because the students being younger is probably more interested in sports than elder ones.

The last would be the (c), people selected from the department store since they would be less aware of local- sports related activities.

So the order of samples from best to worst is b→ a→ c.

The question is incomplete. Find the complete question below:

The city council of Anytown, U.S.A., is reviewing the funding for local sports-related activities. To be better informed, it commissions a study. Order the sample groups, best to worst, based on how well they would represent the population of Anytown residents with an active interest in sports.

a. high-school students at three different schools

b. people randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar

c. people randomly approached at a department store and at a shopping mall

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Answer:

47

Step-by-step explanation:

6(7)+5=42+5=47

mark me brainliest if it helped

If we were able to perform totally accurate and precise measurements, what would be the standard deviation in these conditions, then the greater the precision the smaller the standard deviation, there is no relationship between standard deviation and accuracy.

If an instrument or method has good precision, 95% of values should fall within 2 standard deviations of the mean. That means that no more than 1 of the 20 results should fall outside of 2 standard deviations.

The standard deviation is a measure of the width of the underlying distribution of measurements. The narrower the distribution, the more tightly clustered the measurements will be about the mean and the more precise those measurements are.

The standard deviation measures the precision of a single typical measurement. It is common experience that the mean of a number of measurements gives a more precise estimation than a single measurement.

Therefore,

If we were able to perform totally accurate and precise measurements, what would be the standard deviation in these conditions, then the greater the precision the smaller the standard deviation, there is no relationship between standard deviation and accuracy.

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Answer:

1/2

Step-by-step explanation:

there is a total of 12 people

6/12 people have red hair

if you simplify, it is 1/2

therefore there would be a 1/2 chance that someone with red hair would be chosen.

Answer:

1.1×10⁶

Step-by-step explanation:

1100000

imagine there is dot after zero and move it until it reach 1

The sum of \(7.3 * 10^5\) and \(3.7 * 10^5\) in scientific notation is \(1.1 * 10^6.\)

Here,

To add numbers in scientific notation, we need to ensure that both numbers have the same exponent (power of 10).

In this case, both numbers already have the same exponent, which is 5

( \(10^5\)).

The given numbers in scientific notation are:

\(7.3 * 10^5\\3.7 * 10^5\)

Since both numbers have the same exponent ( \(10^5\)), we can directly add their coefficients:

7.3 + 3.7 = 11

Now, we keep the common exponent of ( \(10^5\)):

\(11 * 10^5\)

However, in scientific notation, the coefficient must be between 1 and 10. So, we need to adjust the number to fit this format.

To do that, we can write 11 as 1.1 × 10:

\(1.1 * 10 * 10^5\)

Now, when we multiply the exponents, we add them:

\(1.1 * 10^6\)

Therefore, the sum of \(7.3 * 10^5\) and \(3.7 * 10^5\) in scientific notation is \(1.1 * 10^6.\)

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Answer:

x = -3

y = -4

Step-by-step explanation:

2x - 5y = 14 ⇒ ( 1 )

y = 3x + 5 ⇒ ( 2 )

First, let us find the value of x.

For that let us use equation ( 1 ) and replace y with (3x + 5 ).

2x - 5y = 14

2x - 5 ( 3x + 5 ) = 14

Solve the brackets.

2x - 15x - 25 = 14

Combine like terms.

-13x - 25 = 14

Add 25 to both sides.

-13x = 14 + 25

- 13x = 39

Divide both sides by -13.

x = -3

Let us find the value of y.

For that, use equation (2) and replace x with (-3).

y = 3x + 5

y = 3 × -3 + 5

y = - 9 + 5

y = -4

True....

it's a polynomial.

Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

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The planet that has the larger mass is the planet B and the measurements in standard forms are

From the question, we have the following parameters that can be used in our computation:

Planet A = 5*10^26 kilograms

Planet B = 2*10^28 kilograms

Rewrite the masses properly

So, we have

Planet A = 5*10²⁶ kilograms

Planet B = 2*10²⁸ kilograms

The exponent 28 is greater than the exponent 26

This means that

2*10²⁸ is greater than 5*10²⁶

So, we have

Planet B has the larger mass

When the measurements are expressed in standard forms, we have

Planet A = 500000000000000000000000000 kilograms

Planet B = 20000000000000000000000000000 kilograms

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Answer:

Its B: -18

Step-by-step explanation:

- - makes a +

-57+37=-18

Answer: it’s B

hope this helps