Answer:
The answer is 12k^5+24k^4+30k^3.
Step-by-step explanation:
You want to multiply the height by width to find area. Multiply 6k^3 times 2k^2+4k+5. 6k^3(2k^2+4k+5)= 12k^5+24k^4+30k^3.
Final answer:
The area of a rectangle with a height of 6k³ and a width of 2k² + 4k + 5 is calculated by multiplying the height by the width, resulting in 12k⁵ + 24k⁴ + 30k³.
Explanation:
To calculate the area of a rectangle, you multiply the height by the width. The given height of the rectangle is 6k³ and the width is 2k² + 4k + 5. Applying the formula for the area of a rectangle, we have:
A = height × width
A = 6k³ × (2k² + 4k + 5)
To find the area, distribute the height into each term of the width:
A = (6k³ × 2k²) + (6k³ × 4k) + (6k³ × 5)
A = 12k⁵ + 24k⁴ + 30k³
The area of the rectangle is 12k⁵ + 24k⁴ + 30k³.
Someone please help, it's important!!
Step-by-step explanation:
BC is tangent to the circle with center A at point C and AC is radius.
[tex] \therefore AC \perp BC\\
\therefore \angle ACB =90°\\[/tex]
Now by Pythagorean theorem:
[tex] AB^2 = AC^2 + BC^2 \\
\therefore AC^2 = AB^2-BC^2\\
\therefore x^2 = 17^2-14^2\\
\therefore x^2 =289-196\\
\therefore x^2 =93\\
\therefore x =\sqrt{93}\\
\therefore x =9.64365076\\
\huge \purple {\boxed {\therefore x = 9.64\: units}} [/tex]
message me! i have made an edited file of it finished <3
Mrs. Hendricks used gallons of gas on a business trip. Her averages 25miles per gallon. How may miles did she travel?
Answer:
625 miles
Step-by-step explanation:
This is because, since each 25 miles takes one gallon 25 gallons would mean you would go 25 times 25 miles which is 625 miles in all.
Need help please. Thank you
Answer:
1) [tex]\frac{8\pi }{3}[/tex] or 8.38
2) [tex]\frac{9\pi }{8}[/tex] or 3.53
3) 4[tex]\pi[/tex] or 12.57
Step-by-step explanation:
The formula for arc length is [tex]2\pi r(\frac{angle}{360})[/tex]
1) 2[tex]\pi[/tex](4)× [tex]\frac{120}{360}[/tex]
2)[tex]2\pi (1.5)[/tex]×[tex]\frac{135}{360}[/tex]
3) [tex]2\pi(3)[/tex]×[tex]\frac{240}{360}[/tex]
How does adding a solute ( use only one - salt or sugar) effect the time of water to change from a liquid to a solid?
Answer:
adding salt makes the water freeze slower and evaporate slower too.
Step-by-step explanation:
While pure water freezes at 0°C (32°F), salt water needs to be colder before it freezes and so it usually takes longer to freeze. The more salt in the water, the lower the freezing point.
40. A car stereo originally cost $268. It is now being sold for 85% of its original price. How much does
the car stereo cost now?
Answer:
The stereo is now being sold for $227.80.
Step-by-step explanation:
To calculate percentage discounts, multiply the original price (268) by the discount percentage (.85). Make sure to put move the percentage value two places to the right before multiplying, as percentages are percentages of a whole.
268 * .85 = 227.8
4. You are reading a book that is 268 pages. You have already read 112 pages. You read 39
pages each day. How long will it take you to finish the whole book?
Answer:
4 days
Step-by-step explanation:
268-112= 156
156 divided by 39 = 4
Answer:
i think it is 4
Step-by-step explanation:
bc you do 268-112=156 then you take 156 and divide it by 39 and you end up getting 4.
Study the example shown below.
Which expression should replace the word "numerator" in the work shown?
2x-8
22 - 7x+10
X-3
? - 7x+ 10
2x-8-(x-3)
x2 - 7x+10
numerator
(x-2)(x-5)
O
x-11
x-5
3x-11
3x-5
Answer:
The answer is x-5 or "B" on edge
If the hypotenuse of a 30-60-90 triangle has length 15, then the shorter leg has length
5.5
6.5
7.5
Step-by-step explanation:
Given : If the hypotenuse of a 30-60-90 triangle has length 15 then the shorter leg has length 5.5 , 6.5 , 7.5.
To find : What is the length of the other leg and hypotenuse ?
Solution :
For a 30-60-90 triangle, sides are in the ratio [tex]1:\sqrt{3}:2[/tex]
where, 1 is the shorter side,
[tex]\sqrt{3}[/tex] the other side
and 2 the hypotenuse.
Short leg = 5.5
Other leg = [tex]5.5\times \sqrt3=5.5\sqrt3[/tex]
Hypotenuse = [tex]5.5\times 2=11[/tex]
Short leg = 6.5
Other leg = [tex]6.5\times \sqrt3=6.5\sqrt3[/tex]
Hypotenuse = [tex]6.5\times 2=13[/tex]
Short leg = 7.5
Other leg = [tex]7.5\times \sqrt3=7.5\sqrt3[/tex]
Hypotenuse = [tex]7.5\times 2=15[/tex]
Final answer:
In a 30-60-90 triangle with a hypotenuse of 15, the shorter leg has a length of 7.5, based on the ratio 1:√3:2.
Explanation:
If the hypotenuse of a 30-60-90 triangle has length 15, then to find the length of the shorter leg, we can use the properties of this special right triangle. In a 30-60-90 triangle, the ratio of the lengths of the sides is 1:√3:2. In other words, if the shorter leg is 'x', the longer leg is 'x√3', and the hypotenuse is '2x'.
Since the hypotenuse is 15, we set '2x' equal to 15 and solve for 'x':
2x = 15
x = 15 / 2
x = 7.5
The shorter leg of the triangle has a length of 7.5.
What is P()
im so confused
what is P(12)
and how does it = to 1/30
. Two pentagons are similar. Their sides are in a ratio of 7:2. If the larger pentagon has a perimeter of 28 in., find the perimeter of the smaller pentagon.
Answer:
8 in
Step-by-step explanation:
The ratio of sides and perimeter in similar figures are equal.
let x be the perimeter of the smaller figure, then by proportion
[tex]\frac{7}{28}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )
7x = 56 ( divide both sides by 7 )
x = 8
The perimeter of the smaller pentagon is 8 in
Question 4: You are splitting the bill for repairs to your apartment, and each
roommate will pay 20% of the $6,000 bill. How much do you owe?
What is 10% of the total repair bill?
Your answer
What will each roommate's 20% share be?
How much do you owe?
Since each roommate will pay 20% of the $6,000 bill, you will owe 1 * 0.2 * 6000 = $1200.
What is 10% of the total repair bill?
10% of the total repair bill is 0.1 * 6000 = $600.
What will each roommate's 20% share be?
Each roommate's 20% share will be 0.2 * 6000 = $1200.
I hope this helps! Let me know if you have any other questions.
The constants a,b,c are positive. Solve the inequality for x.
a>-bx+c
Answer:
x > (c - a)/b
Step-by-step explanation:
a > -bx + c
We need to make x the subject of the inequality so, first remove c from the right hand side of the inequality by adding -c to both sides. So,
a - c > -bx
Now, we need to remove -b from the right hand side. So, we will divide both sides of the inequality with -b. Multiplying the inequality with a negative number will also change the sign of the inequality. So,
-(a-c)/b < x
x > (c - a)/b
Answer:
C on edge
Step-by-step explanation:
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
n^2 + n
Answer:
Take the coefficient of ''n'', divide it by 2, and raise it to the second power;
[tex]n^2+n+(\frac{1}{2})^2[/tex]
[tex]n^2+n+\frac{1}{4}=0[/tex]
[tex]=(n+\frac{1}{2} )^2[/tex]
rewrite this fraction as a decimal 15/4
Answer:
3.75
Step-by-step explanation:
3.75 you couldve used calculator :/
Answer:
3.75.
Step-by-step explanation:
15/4 = 3 with a remainder of 3. (3 3/4)
Then you make that into a decimal...
--> 3/4 is equal to 75 percent.
So 3.75..
A stack of 10 quarters is a cylinder. If the diameter of a single quarter is 2.2 cm and the approximate height is 0.17 cm, what is the surface area of a 10-quarter stack?
To find the surface area of a 10-quarter stack, calculate the surface area of each quarter and then multiply by the number of quarters.
Explanation:To find the surface area of a 10-quarter stack, we need to calculate the surface area of each quarter and then multiply it by the number of quarters in the stack. The surface area of a quarter can be calculated using the formula for the surface area of a cylinder: SA = 2πr^2 + 2πrh.
Since the diameter of a quarter is 2.2 cm, the radius (r) is half of that, which is 1.1 cm. The approximate height (h) of a quarter is 0.17 cm.
Substituting these values into the formula, we get: SA = 2π(1.1 cm)^2 + 2π(1.1 cm)(0.17 cm). Calculating this gives us the surface area of a single quarter. Then, multiplying it by 10 gives us the surface area of a 10-quarter stack.
A bag contains 20 counters.
16 of the counters are green.
A counter is picked at random.
What is the probability that it is green?
Give your answer as a fraction.
Answer:4/5
Step-by-step explanation:16 divided by 4 =420 divided by 4= 5your answer is 4/5The required probability that the randomly picked counter is green is 4/5
What is probability?Probability is the chance of happening of an event.Probability is always ≤ 1How to find the probability that the ball picked up is green?According to the problem,
A bag contains 20 counters which is the total sample.16 of the counters are green.So, 16 green counters are the favorable cases.
∴ Required probability = 16/20 = 4/5
Find more about "Probability" here : https://brainly.com/question/25870256
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can 4x^2-12x+9 be factored as (2x-3)(2x-3)
Answer:
Yes
Can I get brainliest
Answer:
Yes, I believe so.
Step-by-step explanation:
What type of decimal is the following number?
0.1313
Answer:
it is repeating decimal.
Answer: repeating
Step-by-step explanation:
the point (-3,6) is located in which quadrant
Answer:
Quadrant 2
Step-by-step explanation:
Here's how you distinguish which points are in which quadrants.
Quadrant 1: (+x, +y)
Quadrant 2: (-x, +y)
Quadrant 3: (-x, -y)
Quadrant 4: (+x, -y)
(-3,6) has a negative x and a positive y. All the points in Quadrant 2 have a negative x and positive y.
15grams of powder to make a 22oz shake.i make skakes for the week and plans to make 198oz. how many grams of protein will I use for the entire week?
Answer:
135 grams
Step-by-step explanation:
Since there are 15 grams of powder in a 22oz serving, if you divide 198 by 22 you will get 9 total servings. If you multiply 15 by 9 you will get 135 total grams.
Find the total volume of soil in the three planters.Planter A is 14 inches by 3 inches by 4 inches.Planter B is 9 inches by 3 inches by 3 inches.Planter C is 13 inches by 3 inches by 3 inches.
Answer:
A-168
B-81
C-117
Step-by-step explanation:
you multiply all of the numbers together.
Which set of side lengths forms a right triangle?
2, 3,13
4, 6, 10
9, 12, 18
15, 36, 39
Determine which numbers are solutions for x>7 from the solution set
of { 7,8,9}
Answer:
8, 9
Step-by-step explanation:
Since x > 7
This means that x cannot equal 7 but must be greater values than 7.
Thus 8 and 9 are solutions
The right rectangular prisms are similar. Which statements are correct? Check all that apply. The angles in the smaller prism measure 90 degrees. The perimeter of the rectangular bases changes by a factor of 2. The surface area changes by a factor of 8. The larger prism has twice the volume of the smaller prism. The area of the rectangular bases changes by a factor of 4. PLEASE HURRRYYYYY!!!!!
Answer:
- the angles in the smaller prism measure 90 degrees
- the perimeter of the rectangular bases changes by a factor of 2
-the area of the rectangular bases changes by a factor of 4
Step-by-step explanation:
I just got it right
Answer:
the angles in the smaller prism measure 90 degrees
the perimeter of the rectangular bases changes by a factor of 2
the area of the rectangular bases changes by a factor of 4
Step-by-step explanation:
Need Help Need To Turn This In Soon. Will Give Brainliest
Use two unit multipliers to convert 3.1 m2 to square centimeters
Answer:
31000 cm2
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME ill give brainliest if correct
Answer:
280
Step-by-step explanation:
360-80
Cesium-137 has a half life of approximately 30 years. How much of a 40 g sample would be left after 90 years?
A. 14.33 g
B. 6.31 g
C. 32.49 g
D. 5 g
E. 26.67 g
Answer:
5
Step-by-step explanation:
30 years => 20
60 years => 10
90 years => 5
We will be left with 5 g of Cesium-137 after 90 years, given its half-life of 30 years and the initial quantity we have as 40 g.
What do we mean by the half-life of a substance?Many elements tend to decompose over some time. The period over which an element reduces to half of itself in quantity is called the half-life of that substance.
The formula for the quantity of the element at a certain time t can be given as:
[tex]N_{t} = N_{0}\left ( \frac{1}{2} \right )^{\frac{t}{t_{1/2}}}[/tex]
Where,
[tex]N_{t}[/tex] is the quantity of the element at time t,
[tex]N_{0}[/tex] is the initial quantity of the element,
[tex]{t_{1/2}[/tex] is the half-life of the element.
How do we solve the given question?In the question, we are given that an element, Cesium-137 has a half-life of approximately 30 years.
We are asked to find the quantity of this element left after 90 years when we had an initial sample of 40 g.
To solve for the quantity left, we can use the formula for the quantity of the element at a certain time t can be given as:
[tex]N_{t} = N_{0}\left ( \frac{1}{2} \right )^{\frac{t}{t_{1/2}}}[/tex]
Where,
[tex]N_{t}[/tex] is the quantity of the element at time t,
[tex]N_{0}[/tex] is the initial quantity of the element,
[tex]{t_{1/2}[/tex] is the half-life of the element,
by taking t = 90 years, [tex]N_{0}[/tex] = 40 g, [tex]{t_{1/2}[/tex] = 30 years, and [tex]N_{t}[/tex] = ?.
∴ [tex]N_{t} = N_{0}\left ( \frac{1}{2} \right )^{\frac{t}{t_{1/2}}}[/tex]
or, [tex]N_{t} = 40\left ( \frac{1}{2} \right )^{\frac{90}{30}}} g[/tex]
or, [tex]N_{t} = 40\left ( \frac{1}{2} \right )^{3}} g[/tex]
or, [tex]N_{t} = 40\left ( \frac{1}{8} \right ) g[/tex]
or, [tex]N_{t} = 5 g[/tex] .
∴ We will be left with 5 g of Cesium-137 after 90 years, given its half-life of 30 years and the initial quantity we have as 40 g.
Learn more about the half-life of a substance at
https://brainly.com/question/2320811
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Write a decimal that is equivalent to 4 8/11
Answer:
4.73
Step-by-step explanation:
4 8/11=4+8/11
=4/1+811
=(4/1×11/11)+8/11
=44/11+8/11=52/11
We know that
52/11
is the same as
52÷11
Then using
Long Division for 52 divided by 11
and rounding to a Max of 2 Decimal Places gives us
=4.73
Final answer:
The equivalent decimal to the mixed number 4 8/11 is 4.7273, achieved by dividing 8 by 11 to get 0.7273 and adding it to the whole number 4.
Explanation:
To write the mixed number 4 8/11 as a decimal, we need to convert the fractional part to decimal form and then add it to the whole number. To convert the fraction 8/11 to a decimal, we divide the numerator by the denominator using a calculator or long division.
Dividing 8 by 11 gives us approximately 0.7273. Now we add this decimal to the whole number 4 to get the decimal equivalent of the mixed number. The final result is 4.7273.
Remember that when rounding to four decimal places, if necessary, you look at the fifth decimal place to determine whether to round up or leave the fourth place as is. Since we do not have a fifth decimal place in this conversion, our four-decimal-place number is accurate as is.
Can you help me please
Answer:
3/10
Step-by-step explanation:
Answer:
The answer is 3/10.Step-by-step explanation:
First, convert 3/5 into 10ths.
3/5 = 6/10
Now, we know what 3/5 is equal to, we subtract.
9/10 - 6/10 = x
When we subtract, we get 3/10.
So that means, x =3/10
Hope this helps, have a great day, and stay safe.
Given the function g(x) = -x^2+ 2x + 8, determine the average rate of change of
the function over the interval -3 < x < 2.
Answer:
3
Step-by-step explanation:
The average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ - 3, 2 ], thus
g(b) = g(2) = - 2² + 2(2) + 8 = - 4 + 4 + 8 = 8
g(a) = g(- 3) = - (- 3)² + 2(- 3) + 8 = - 9 - 6 + 8 = - 7
average rate of change = [tex]\frac{8-(-7)}{2-(-3)}[/tex] = [tex]\frac{15}{5}[/tex] = 3