Question 7:
g is 60% of h
f is a third of g
Write the ratio f g h in its simplest form.

Answer:

Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value.

Step-by-step explanation:

Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.

Step-by-step explanation:

p + p + 7 = p + 5 + 4

2p + 7 = p + 9

2p - p = 9 - 7

p = 2

[tex]\huge \orange{F =G.\frac{xy}{r^2}}[/tex]

Step-by-step explanation:

The equation of the line that goes through (2,4) and has a slope of -3 y = -3x + 10

The equation of a line can be represented as follows;

y = mx + b

where

Therefore,

y = -3x + b

Let's find b

hence,

4 = -3(2) + b

4 = -6 + b

b = 4 + 6

b = 10

Therefore,

y = -3x + 10

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Answer: 7

Step-by-step explanation:

As [tex]\angle T \cong \angle T[/tex] by the reflexive property, we know that [tex]\triangle RST \sim \triangle UVT[/tex] by AA.

Since corresponding sides of similar triangles are proportional,

[tex]\frac{UT}{5}=\frac{13.2+5}{13}\\UT=(5)\left(\frac{13.2+5}{13} \right)=\boxed{7}[/tex]

The correct numerical values that should be used in completing Melissa's table are:

Note: From the information provided in the table shown in the image attached below, we can deduce that Melissa's vegetable garden has a square shape.

Mathematically, the area of a square can be calculated by using this formula;

A = x²

Where:

Substituting the given parameters into the formula, we have;

338 = x²

x = √338

x = √2 × √169

x = 13√2 or 18.384776 feet.

For row 2, we have:

A = 6.5²

A = 42.25 square feet.

For row 3, we have:

147.25 = x²

x = √147.25

x = 12.13466 feet.

For row 4, we have:

A = 7²

A = 49 square feet.

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Answer:   203

Step By Step Explanation: Just multiply the numbers.

Answer:

Area = 203 [tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle can be found using this equation:

Area = length x width

The length given is 29 feet, and the width is 7 feet.

Let's plug these into the equation:

Area = (29)(7) = 203 [tex]ft^{2}[/tex]

Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Answer:

x= 0.21428571428 or x=0.2

Step-by-step explanation:

-7x+7x^2=9  1. simplify 7x^2

-7x+ 7x(7x)=9   2. combine like terms

-7x+49x=9    3. combine like terms

42x=9           4. /42 on both sides

x= 0.21428571428 or x=0.2

The solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)

The graph of the systems of inequalities is not given.

So, I would plot a new graph to answer this question.

The systems of inequalities are given as:

y − x > 1 and 2x + y ≤ 2

x + y ≥ -3 and 5x – y ≤ -3

2x – y ≤ -1 and x + 2y < 4

4x – 3y < 12 and x + 3y ≥ 6

Next, we plot these inequalities on a graph and write out the points of intersection.

From the attached graph, we have:

y − x > 1 and 2x + y ≤ 2  ⇒ (0.3, 1.3)

x + y ≥ -3 and 5x – y ≤ -3  ⇒ (-1, -2)

2x – y ≤ -1 and x + 2y < 4  ⇒ (0.4, 1.8)

4x – 3y < 12 and x + 3y ≥ 6 ⇒ (3.6, 0.8)

Hence, the solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)

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Answer:

209 cubic mm.

Step-by-step explanation:

Formula for volume of cone:

[tex]V=\frac{1}{3} \pi r^2 h[/tex]
Now let's plug in the values.
[tex]V=\frac{1}{3} \pi 5^2 8[/tex]
[tex]V=\frac{1}{3} \pi 200[/tex]
[tex]V=\frac{200}{3} \pi[/tex]
[tex]V=209.4395...[/tex]
Round to the nearest cubic mm and the volume is 209 cubic mm.

Answer:

209.333

Step-by-step explanation:

→ State the area for the volume for a cone

1/3 × π × r² × h

→ Substitute in the numbers

1/3 × 3.14 × 5² × 8

→ Evaluate

209.333

Step-by-step explanation:

simple x×x×y×z=x^2×yz=x^2yz

The value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]

From the question, we are to determine the value of cos E

From the given information, we have

[tex]sin \ D=\frac{24}{25}[/tex]

By SOH CAH TOA

Opposite = 24

Hypotenuse = 25

Thus, considering the diagram

/EF/ = 24

and

/DE/ = 25

By SOH CAH TOA

[tex]cos \ E =\frac{/EF/}{/DE/}[/tex]

∴ [tex]cos \ E =\frac{24}{25}[/tex]

Hence, the value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]

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Answer:

x=3

Step-by-step explanation:

I will assume this is a  number line

DE    +    EF     = DF

x+1    +    2x     =  10

3x  + 1 = 10

3x = 9

x = 3

Answer:

Explained below

Step-by-step explanation:

Area= area of these two triangles+ area of the rectangle+ area of the

=1/4(dh)+ +l.b +

The correct statements regarding the function in the graph are given as follows:

B. The function does not reach a maximum value.

C The function is increasing for all values of x larger than 2.

The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.

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The number that could not be a value of y if y = 4x² - 6 is -12.

The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.

So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.

i.e.

y = 4(0) - 6

y = 0 - 6

y = -6

Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.

Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.

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Answer:

-12 is the answer.

x=-5/3 and x=1/2

Step-by-step explanation:

I think you left out some numbers

Answer:

3%

Step-by-step explanation:

P% = 15/500

P = 0.03

P% = 0.03 * 100 = 3%

Answer:

15% out of 100 is 15, multiply by 5 and you get 75

Answer:

42×12/4

=42×3

=126

........

Answer:

270.4 miles

Step-by-step explanation:

First we will convert the 40 liter gas tank into gallons.

There are about 0.26 gallons in 1 liter, so we can find how many gallons are in 40 liters by solving [tex]40 * 0.26[/tex], which equals to [tex]10.4[/tex] gallons.
We can now find how far we can travel on a full tank.

[tex]\mbox{26 miles per gallon } * \mbox{10.4 gallons} = \mbox{270.4 miles}[/tex]

This means we can travel 270.4 miles on a full tank.

That is the answer

- Kan Academy Advance

Answer:

151.80800 kilograms

Step-by-step explanation:

Answer:

To find the mean of a given data set, add up all the values then divide by how many numbers ...

Step-by-step explanation:

The expression that can be used to verify that (one-third x) (3 x) is the inverse of One-third (3 x) is 1/3(3x).

It should be noted that an expression is a collection of symbols that can be used to jointly express a quantity.

From the information given, g(x) = 1/3x + 3x. Here, the expression that can be used to verify that (one-third x) (3 x) is the inverse of One-third (3 x) is 1/3(3x). The inverse in this case is the opposite of the function expressed.

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Answer:

c

Step-by-step explanation:

edge 2022

Answer: 6.64

Step-by-step explanation:

[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]

The confidence Interval is CI = (-1.35, 1.35) and 1.74 is outside of this confidence interval and as such it is statistically significant.

Formula for the confidence interval is:

CI = x' ± z(S.E)

where;

x is the mean

z is the critical value.

S.E is the standard error.

We are told that there is no difference between the population and as such; x = 0.

The confidence level is given as 95%.

z-score at 95% confidence level = 1.96.

Standard deviation of the sample mean differences is 0.69. Thus;

S.E = 0.69.

The confidence interval is:

CI = 0 ± (1.96 * 0.69)

CI = (-1.35, 1.35)

1.74 is outside of this confidence interval and as such it is statistically significant.

Complete question is;

I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.

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Answer:

they are different in the equation

The median of this set is:

9

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is, because income distribution can be very skewed. The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result.

HAVE A NICE DAY!

Answer:

Step-by-step explanation:

Remark

You always have to put the data in order to answer a question like this one.

6 7 7 8 10 14 15

The median is the middle number. In this case it is 8. There are 3 numbers below 8 and 3 numbers above 8, so 8 is the median.

Answer: 8