The ladder forms a right triangle with legs 5 feet and 12 feet. How long is the ladder?

Answer:

[tex]f+4\leq 15[/tex] solves to [tex]f\leq 11\\[/tex] and ill provide graph below

Step-by-step explanation: hope i helped have a great day!

Answer: 66cm^3

Step-by-step explanation:AB=a2

V=a2h

3

Solving forV

V=ABh

3=11·18

3=66cm³

Answer:

To find the minimum/maximum or the graph or the vertex is (9,-62)

Answer:

[tex]\large \boxed{\text{3 apples and 6 bananas}}[/tex]

Step-by-step explanation:

 Let a = the number of apples

And b =  the number of bananas. Then,  

[tex]\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a & =&4.05\\(4) \, \, \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}[/tex]

Check:

[tex]\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}[/tex]

OK.

Alexandra bought 3 apples and 6 bananas

Number of apples = a

Number of bananas = b

From the information given, the equation to use will be:

a + b = 9 ....... i

1.75a + 0.40b = 7.65 ...... ii

From equation i, a = 9 - b ...... iii

Put equation iii into ii

1.75a + 0.40b = 7.65

1.75(9 - b) + 0.4b = 7.65

15.75 - 1.75b + 0.4b = 7.65

Collect like terms

-1.75b + 0.4b = 7.65 - 15.75

-1.35b = -8.1

b = 8.1/1.35

b = 6

She bought 6 bananas

Number of apples bought = 9 - 6 = 3 apples.

Therefore, Alexandra bought 3 apples and 6 bananas

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Answer:

24

Step-by-step explanation:

Answer:

c = 3πcm

Step-by-step explanation:

from the question area of the circle is given to b 9/4 πcm²

circumference of the circle  in terms of π = ?

the formula for finding the Area of a circle = πr²

Since the area was given to be

(9/4)π = πr²

divide both sides by π

we have

9/4 = r²

we apply the cross multiplication rule

so we have,

4r² =  9

divide both sides by 4

r² = 9/4

r = √9/4

r = 3/2

now to find the circumference of the circle , we apply the formula for finding the circumference of a circle which is

c = 2πr

from our calculations radius r = 3/2

c = 2 ( π × 3/2)  [ 2 cancels 2]

c = 3πcm

Answer:

2/5

Step-by-step explanation:

The unit rate is:  change in y over change in x

This graph goes up 2 and moves to the right 5, that means it is 2/5

Answer:  2/5

The opposite statements are :

The opposite statements are those which negates a given sentence in terms of direction or magnitude .

For A.

For B.

For C.

Answer:

(x+3)^(1/2)

Step-by-step explanation:

something to the 1/2 power is equal to square root.

Exponential growth is the process through which quantity rises over time. The population of the birds will reach 100,000 in 16.6 years from 2001.

Exponential growth is the process through which quantity rises over time. It happens when the instantaneous rate of change of a quantity with respect to time is proportionate to the amount itself.

In 2000, the total amount of a certain bird population (species of bird of paradise) was recorded at 47,000 in a city. In 2005, the same survey was made and the same bird population was estimated at 59,000.

As per the given information the population of the bird changed from 47,000 to 59,000 in five years, therefore, we can write,

59,000 = 47,000(1+r)⁵

(59/47) = (1+r)⁵

1.046528 = 1+r

r = 0.046528

Now, the time it will take for the population to reach 100,000 will be,

100,000 = 47,000(1+0.046528)ⁿ

[tex]\dfrac{\log(\frac{100}{47})}{\log{1.046528}} = n\\\\n = 16.6019[/tex]

Thus, the population of the birds will reach 100,000 in 16.6 years from 2001.

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Final answer:

Using the given data, the bird population is increasing at a rate of 2,400 birds per year. If this rate continues, the population is expected to reach 100,000 by the year 2022.

Explanation:

The question involves calculating the year when the bird population will reach a certain number, assuming a consistent growth pattern. Based on the data provided:

First, determine the annual growth rate over the 5-year period from 2000 to 2005:

Growth = 59,000 - 47,000 = 12,000 birds

Annual growth rate = Growth / 5 years = 12,000 / 5 = 2,400 birds/year

Next, calculate the number of years needed for the population to grow from 59,000 (in 2005) to 100,000:

Number of years = (Target population - Population in 2005) / Annual growth rate

= (100,000 - 59,000) / 2,400

≈ 17.08 years

To find the target year, add the number of years to 2005 and round to the nearest year:

Target year = 2005 + 17.08 ≈ 2022

Therefore, if the trend continues, the bird population is predicted to reach 100,000 in 2022

Answer:

$49376.25 is the original price. rounded to nearest 1000 is $49000 and nearest 10000 is $50000

Step-by-step explanation:

Answer:

D) 3x^2

Step-by-step explanation:

It starts at the origin, then it curves. But if you look at it, you can see the dots getting higher and more spaced out.

It's like 4x^2, but a little more spaced out.

Therefore, it is D.

Answer:

-1

Step-by-step explanation:

X = 2

Lets substitute the equation:

3*2 + y = 5

6 + y = 5

Using equation rules.

y = 5-6

Therefore y = -1

Answer:

y=-1

Step-by-step explanation:

3x+y=5

When x=2

Substitute the value of x in the above equation

3(2)+y=5

6+y=5

Collect like terms

y=5-6

y=-1

Answer:

x

Step-by-step explanation:

Answer:

x= -59

Step-by-step explanation:

x-31=-90

Adding 31 to both sides we get

x-31+31=-90+31

x=-59

Answer:

x-31=-90

add 31 to both sides

x - 31 + 31 + = -90

simplify:

x = -59

Step-by-step explanation:

Final answer:

The unit rates in lawns per day for Michael, Trina, and Vanessa are 8/3, 5/2, and 9/4 respectively. The unit rates are in order from least to greatest.

Explanation:

To find the unit rate in lawns per day for each person, we will divide the number of lawns mowed by the number of days it took for each person.

For Michael, he mowed 8 lawns in 3 days, so the unit rate is 8/3 lawns per day.

For Trina, she mowed 5 lawns in 2 days, so the unit rate is 5/2 lawns per day.

For Vanessa, she mowed 9 lawns in 4 days, so the unit rate is 9/4 lawns per day.

Placing the unit rates in order from least to greatest, we have:
Trina: 5/2 lawns per day
Michael: 8/3 lawns per day
Vanessa: 9/4 lawns per day

Answer:

6.5 cm

Step-by-step explanation:

The solution to the question above is solved in the attached picture.

Answer:

984 cm^2

Step-by-step explanation:

Base: 10 × 24 = 240

Rectangular faces: 13 × 24 = 312 (×2 = 624)

Triangular faces: 12 × 10 = 120

Add: 240 + 624 + 120 = 984

Answer:

x= -6

Step-by-step explanation:

first you want to get rid of the 4 so on both sides you subtract 4

4-x²=-32

-4      -4  that will then make the problem

-x²= -36 to get rid of the square you must do the opposite, square root ([tex]\sqrt{36}[/tex]) so it will get rid of the ²

-x= 6 then you have to get rid of the neggative on x so you will add a negative to 6

x=-6

Answer:The radius and height of a right cylinder are each doubled What is the change in the volume of the cylinder

In order to find the volume of a cylinder, you would use the formula V=3.14*r2*h. In the formula, the radius is being squared. That means that doubling the radius of the cylinder will quadruple the volume. For example, let's say we have a cylinder with a radius of 2 inches and height of 3 inches.

Step-by-step explanation:

the height must decrease

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

9x + 16 = 4x - 19

Subtract 4x from each side

9x-4x + 16 = 4x-4x - 19

5x+16 = -19

Subtract 16 from each side

5x+16 -16 = -19-16

5x = -35

Divide each side by 5

5x/5 = -35/5

x = -7

Answer:

x = -7

Step-by-step explanation:

in order to solve this , make x the subject of formula:

9x + 16 = 4x - 19

9x + 16 - 4x = -16

5x = -19 - 16

5x =-35

x = -35 / 5

Answer:

Marvin has 30 dollars

Step-by-step explanation:

there are 6 five dollar bills you could either multiply or add theses numbers.

1            2              3              4                 5                6

5           10            15            20              25               30

Answer:

v=14

Step-by-step explanation:

The volume of a regulation softball with given diameter is 14 cubic inches.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³.

Given that, diameter of a softball is 3 inches.

Here, radius = 3/2 = 1.5 inches

Now, volume = 4/3 ×3.14×1.5³

= 14.13 cubic inches

≈ 14 cubic inches

Therefore, the volume of a regulation softball with given diameter is 14 cubic inches.

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Answer: the square root of 17 is irrational.

Step-by-step explanation:

17 can not be divided evenly therefor it is irrational

Answer:

28.8 million barrels.

Step-by-step explanation:

The percentage of production of Gasoline and Kerosene from Crude oil are 34% and 14%.

So, the Gasoline and Kerosene is totally produced by (34 + 14) = 48%.

If the production of Crude oil is 60 million barrels, then the production of Gasoline and Kerosene combined from this amount of Crude oil will be

[tex]60 \times \frac{48}{100} = 28.8[/tex] million barrels. (Answer)

By taking the sum of the percentages of Gasoline and Kerosene from the total crude oil production, we find that 48% of the 60 million barrels produced was Gasoline and Kerosene, which equates to 28.8 million barrels.

The total production from Crude oil is given as 60 million barrels. The total percentage of Gasoline and Kerosene is obtained by adding the individual percentages. Gasoline is 34% and Kerosene is 14%, so the total is 48%.
To find the total production of Gasoline and Kerosene, we must multiply this percentage by the total production.

Calculation: 48/100 * 60 million = 28.8 million barrels

So, the total production of Gasoline and Kerosene combined was 28.8 million barrels.

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Answer:

The height is 5 in

Step-by-step explanation:

V = l*w*h

Substitute in what we know

360 = 24 *3*h

360 = 72h

Divide each side by 72

360/72 = 72h/72

5 = h

The height is 5 in

Answer:

The height is 5 inches

Step-by-step explanation:

Knowing that he volume of a rectangular prism is V = L*W*H, it is given that V = 360, L = 24, and W = 3. Substitute these values into the equation and get 360 = 24*3*H. This can simplify to 360 = 72*H and by dividing both sides by 72, you get H = 5. This means that he height is 5 inches.

The difference with any previous decade is much greater than the margin of error.

In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely. Because the margin of error depends on the level of confidence, multiple margins of error are available from the same data set.

Thus, although year after year the temperature difference is within the margin of error contemplated in the study, the truth is that the sum of several years shows differences that are not included within this margin, which proves that climate change is real and its negative effects are too.

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Final answer:

Long-term data analysis shows a clear warming trend in global temperatures over the past century, significantly exceeding the margin of error. The increased frequency of warm temperatures and the scientific consensus among multiple groups validate the occurrence of anthropogenic global warming.

Explanation:

A strong counterargument to the media personality's claim that global temperatures are not rising because the yearly increase is within the margin of error is to emphasize the long-term trend and robustness of the data. Examination of global temperature trends over longer periods clearly shows that, even with margins of error considered, there has been a significant increase in global temperatures.

For instance, averaged over land and ocean, Earth's temperature over the past century has increased by approximately 0.7°C, a result that multiple groups worldwide have corroborated using various analytical methods. This consensus adds strength to the argument. When comparing temperature differences with previous decades or even centuries, the change significantly exceeds the margin of error, revealing a clear warming trend.

Moreover, the probability of warm and extreme warm temperatures has increased, while the probability of cold and extreme cold temperatures has decreased, supporting the conclusion that anthropogenic global warming is occurring and substantiating its impact beyond the bounds of statistical uncertainty.

Answer: they are not parallel because the two given alternate interior angles are not congruent .

Step-by-step explanation: i am on the lesson right now and i got it correct .