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D. 24.5

The Perimeter of rectangle 3cm 5cm is 16 cm.

In geometry, a rectangle is a plane figure of four sides having four angles of 90 degree. A rectangle has different length and breadth.

Some important formulas for rectangle :

Perimeter is define as the distance around all the edges of a shape. In case of rectangle perimeter is the distance of all 4 edges i.e. 2 lengths and 2 breadth .

Thus , perimeter of rectangle = ( 2 × length ) + (2 × breadth)

                                                 = 2 ( length + breadth )

In the given question,

length of rectangle =  3cm

breadth of rectangle = 5cm

therefore, perimeter of rectangle = 2(3+5) = 16cm

Hence, The Perimeter of rectangle is 16 cm.

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The area of the Shaded region, when the frame is 1 unit wide, is 20 square units.

The area of the shaded region when one rectangle is framed within another and the frame has a width of 1 unit, we need to calculate the difference between the areas of the outer rectangle and the inner rectangle.

the dimensions of the outer rectangle as length and width, and the dimensions of the inner rectangle as length' and width'. Based on the information provided, the length and width of the outer rectangle are 5 and 7 units, respectively.

The dimensions of the inner rectangle can be found by subtracting twice the width of the frame (1 unit) from the dimensions of the outer rectangle:

Length' = length - 2 * frame width = 5 - 2 * 1 = 3 units

Width' = width - 2 * frame width = 7 - 2 * 1 = 5 units

Now we can calculate the areas of the outer and inner rectangles:

Area of the outer rectangle = length * width = 5 * 7 = 35 square units

Area of the inner rectangle = length' * width' = 3 * 5 = 15 square units

Finally, to find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle:

Area of shaded region = Area of outer rectangle - Area of inner rectangle = 35 - 15 = 20 square units

Therefore, the area of the shaded region, when the frame is 1 unit wide, is 20 square units.

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Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

simplify 3/5 + 3/2 is

A.21/10

Answer:

answer is 3/2 ... correct answer is 3/2 ...

Answer:

1 1/2

Step-by-step explanation:

... i did the math... You get 3/2 but it says to put it in mixed form and its mixed form is 1 1/2

The equivalent expression is the one in the last option:

\(\sqrt[10]{y}\)

Here we want to find an expression equivalent to:

\((\frac{1}{\sqrt{y} } )^{-1/5}\)

Remember the two rules for exponents that we need to use here:

\(x^{-n} = (1/x)^n\)

\(x^{1/n} = \sqrt[n]{x}\)

Using the first rule, we can rewrite our expression as:

\((\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5}\)

Now we can rewrite the root of a root to get:

\((\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5} = \sqrt[5]{\sqrt{y} } = \sqrt[10]{y}\)

Where in the last step we just multiplied the exponents for the roots, we can see that the correct option is the last one.

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Answer:

1.5

Step-by-step explanation:

Convert 150% to a fraction

150/100 = 3/2 = 1.5

Answer:

3/2

Step-by-step explanation:

Answer:

2^12

2^10

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Step-by-step explanation:

to the power to the power of - we multiply the powers.

(2³)⁴ = 2¹²

as this is the same as

2³ × 2³ × 2³ × 2³

so, the power is 4×3 = 12

to the power of times to the power of times to the power of ... - we add the powers (if the base is the same).

2²×2²×2²×2²×2² = 2¹⁰

the power is 2+2+2+2+2 or 5×2 = 10

Answer:

0.0475

Step-by-step explanation:

First find the z-score.

z = (x − μ) / σ

z = (125 − 100) / 15

z = 1.67

Use a calculator or chart to find the probability.  Using a chart:

P(Z > 1.67) = 1 − P(Z < 1.67)

P(Z > 1.67) = 1 − 0.9525

P(Z > 1.67) = 0.0475

The probability that a randomly selected person has an IQ score higher than 125 is 0.0475.

Given that, mean score(μ)=100, standard deviation (σ)=15 and an IQ score higher than 125.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

First find the z-score, using

z = (x - μ)/σ

z = (125 - 100)/15

z = 1.67

Use a calculator or chart to find the probability, Using a z-score chart we get

P(Z > 1.67) = 1 - P(Z < 1.67)

P(Z > 1.67) = 1 - 0.9525

P(Z > 1.67) = 0.0475

Hence, the probability that a randomly selected person has an IQ score higher than 125 is 0.0475.

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Answer:

5³

Step-by-step explanation:

5^7 : 5^4

5^(7-4)

5^3

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.

Answer:

  (x, y) = (2 35/74, 2 25/74)

Step-by-step explanation:

The closest point on the line to the given point will be the point of intersection of the given line and a perpendicular through the given point.

__

A line perpendicular to ax+by+c=0 that goes through point (h, k) can be written as ...

  b(x-h) -a(y-k) = 0

For the given line and point, the perpendicular line will be ...

  7(x -2) +5(y -3) = 0

  7x +5y -29 = 0

Using the cross-multiplication method, we can find the solutions to the system of equations consisting of these two lines. It will be ...

  Δ = (-5)(5) -(7)(7) = -74

  Δx = (7)(-29) -(5)(-4) = -183

  Δy = (-4)(7) -(-29)(-5) = -173

  x = Δx/Δ = -183/-74 = 2 35/74 ≈ 2.4730

  y = Δy/Δ = -173/-74 = 2 25/74 ≈ 2.3378

__

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Answer:

2^2* 5^2.

Step-by-step explanation:

2)100

2)  50

5) 25

      5

100 = 2*2*5*5.

= 2^2* 5^2.

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

B and A

Step-by-step explanation:

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

1/4 in fraction form, and 0.25 in decimal form.

Step-by-step explanation:

Answer:

D) 19

Step-by-step explanation:

-7 + 19 = 12

4.67 $/gal is the price of gasoline.

Step-by-step explanation:

Given:

Price of gasoline = 1.3 €/L

1 gallon is equals to 3.785 Liters

1 euros is equals to  0.9497 US dollars

To find:

The price of gasoline in US dollars per gallon

Solution:

Price of the gasoline = 1.3 €/L

\(1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal\)

Now convert euros to US dollars by using :

1 euros = 0.9497 $

The price of gasoline in US dollar per gallons:

\(4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal\)

4.67 $/gal is the price of gasoline.

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Question:

The cost of 12 kg sugar is $240 what will be the cost of 3 kg sugar.

Given:

To find?

Answer :

To find cost of 3kg sugar first we have to find cost of 1 kg sugar.

Now Let's find cost of 3 kg sugar

Cost of 3kg sugar = total no of sugar ×Cost of 1 kg sugar

Cost of 3kg sugar = 3×$20

Cost of 3kg sugar = $60

To find how many many different shades of paint did the students make

We will find the ratio between the yellow paint and the blue paint

So,

Row number 1 , yellow : blue = 1 : 2

Row number 2 , yellow : blue = 2 : 3

Row number 3 , yellow : blue = 2 : 4 = 1 : 2

Row number 4 , yellow : blue = 4 : 8 = 1 : 2

Row number 5 , yellow : blue = 6 : 9 = 2 : 3

Row number 6 , yellow : blue = 8 : 12 = 2 : 3

So, the number of different ratios are 2 ratios, which are [ 1 : 2 ] and [ 2 : 3 ]

so, There are 2 different shades of paint the students made

We know using the ratio between yellow and blue

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

Answer:

f(x)=-2x+5

Step-by-step explanation:

The line shown in the graph is always decreasing at a constant rate, has a slope of -2, and has a y-intercept of 5.

So the parent function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).

Therefore, the slope-intercept equation that represents this linear function is f(x)=-2x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=-2x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The given line passes through two points with coordinates (0,5) and (1,3). Therefore, the slope and the y-intercept of the given equation of a line can be written as,

Slope, m = (5 - 3)/(0 - 1) = 2/-1 = -2

y-intercept, c = 5

Now, the equation of the line can be written as,

y = mx + c

y = -2x + 5

Hence, the equation of the given line is y=-2x+5.

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Answer:

12

Step-by-step explanation:

~Turn the percentage into a decimal

4% -> 0.04

~Multiply

300 * 0.04 = 12

Best of Luck!

Answer: To find the probability that a person chosen at random has a median lifetime income between 1 to 2 standard deviations below the mean, we need to calculate the area under the normal distribution curve within that range.

First, let's define the variables:

μ = Mean lifetime income = $25800

σ = Standard deviation = $14000

We want to find the probability of having a median lifetime income between 1 to 2 standard deviations below the mean.

1 standard deviation below the mean would be μ - σ, and 2 standard deviations below the mean would be μ - 2σ.

μ - σ = $25800 - $14000 = $11800

μ - 2σ = $25800 - 2 * $14000 = $-2200

Next, we need to find the z-scores for these values. The z-score represents the number of standard deviations a given value is from the mean in a standard normal distribution.

For μ - σ:

z1 = (11800 - μ) / σ = (11800 - 25800) / 14000 ≈ -1.5714

For μ - 2σ:

z2 = (-2200 - μ) / σ = (-2200 - 25800) / 14000 ≈ -2.2857

Using a standard normal distribution table or a statistical software, we can find the corresponding probabilities associated with these z-scores.

The probability of having a median lifetime income between 1 to 2 standard deviations below the mean is the difference between the probabilities corresponding to z1 and z2.

P(1 to 2 standard deviations below the mean) = P(z1 < Z < z2)

You can refer to a standard normal distribution table or use statistical software (such as Excel, R, or Python) to calculate the probabilities. The exact values may vary depending on the specific table or software used.

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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P(more than 1 hour of TV | 6th period class) is  0.352.

Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.

P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed

12 / (12 + 9 + 5 + 8)

12 / 34 = 0.352

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