Answer:
\(\sf \dfrac{b^9}{125}\)
Step-by-step explanation:
We need to find out the volume of cube with the given side length . The side of the cube is ,
\(\sf\longrightarrow Side =\dfrac{1}{5}b^3\)
Now as we know that the volume of cube is ,
\(\sf\longrightarrow Volume = side^3\)
Substitute the given value ,
\(\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}\)
What is the difference
Answer:
+4
Step-by-step explanation:
-5 - (-9)
-5 + 9
4
Answer:
4
Hope this helped and if I'm wrong sorry
Calculate F(5) given that F(2) = 7 and F'(x) = x². Hint: Express F(5) - F(2) as a definite integral. (Use symbolic notation and fractions where needed.)
To find F(5), we can use the given information that F(2) = 7 and F'(x) = x². We'll first express F(5) - F(2) as a definite integral and then solve for F(5).
Since F'(x) is the derivative of F(x), we can find the difference F(5) - F(2) by integrating F'(x) from 2 to 5:
∫(2 to 5) x² dx
Now we need to find the integral of x²:
∫x² dx = (x³/3) + C
Now, evaluate the integral from 2 to 5:
[(5³/3) + C] - [(2³/3) + C]
= (125/3) - (8/3)
= (125 - 8)/3
= 117/3
Therefore, F(5) - F(2) = 117/3. Since F(2) = 7, we can now solve for F(5):
F(5) = F(2) + 117/3
F(5) = 7 + 117/3 = 7 + 39 = 46. Thus, the value of F(5) is 46.
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7. Define a variable and write an expression for the phrase.
the quotient of 2 times a number and 19
2x/19
38x
19x/2
X/38
A car costs £12000 when bought. It's value depreciates by 10% of the previous years value for 1 year and then at 7.2% for the next 10 years. How much will the car be worth in 5 years time?
Therefore ,on solving the provided question we can say that - Simple Interest after 5 year the car value is £7,689.6
what is interest ?Simple interest is calculated by dividing the principal by the interest rate, the passage of time, and other elements. The formula used in marketing is simple return = principal + interest + hours. Using this approach, interest may be calculated most easily. The most common way to calculate interest is as a percentage of the principal balance. If he borrows $100 from a friend and agrees to pay it back with 5% interest, for instance, he will only pay his proportion of the 100% interest. $100 (0.05) = $5. You must pay interest when you borrow money and charge interest when you lend it.
here,
rate = 10%
Time = 1 year
Principle = 12000
=>SI = PRT/100
=> SI = 10*1*12000/100
=> SI = 1200
and
=> After 1 year = 12000 -1200 = 10800
and
for five years
=> SI = PRT/100
=> SI = 10800 * 7.2 * 4 / 100
=> SI = 3110.4
After 5 year = 10800 - 3110.4 = 7,689.6
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f(x) = -2x+3
find f(-3)
Answer:
3
Step-by-step explanation:
this is because 3 would be the answer
1. ¿Cuál es la altura del asta bandera, si a
cierta hora del dia el ángulo que forma el
extremo de su sombra con la punta del asta
mide 37°?
37°
20 m
The height of the was determined using SOH CAH TOA. Because we have the Adjacent angle and the base of the phenomenon, the height of the triangle is
What is SOH CAH TOA?The SOH CAH TOA simply means:
Sin A = Opposite/Hypothenuse
Cos A = Adjacent / Hypothenus
Tan A = Opposite /Adjacent
SolutionNote that we have the base as 20 meters and Adjacent angles "A" as 37°.
Given that
Tan A = Opposite /Adjacent; we have
Tan 37° = Opposite (Height)/ 20 meters (Adjacent)
0.7536 = Height/ 20
Make Height the subject of the formula by multiplying both sides by 20.
Hence,
Height = 0.7536 * 20
= 15.072
≈ 15m
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Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
Calculate the area of the shaded sector. KL = 20 ft
Answer:
415.39 \(ft^{2}\)
Step-by-step explanation:
What is 86 Inches in Feet?
86 inches are equivalent to 7.17 feet
To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):
86 inches ÷ 12 inches/foot = 7.17 feet
The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).
Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.
Inches and feet are often used to measure an object's height, breadth, and length in the United States.
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will give brainlist
the question is: the endpoints of line segment AR are A(8,-2) and R(-4,1)? round your answer to the nearest tenth
Answer:
The answer is 12.4.
Step-by-step explanation:
The exact distance would be 3 rooted to 17 but the decimal is 12.4.
I used my graphing calculator so i can't explain much :))
Hope this helps:))
I need help if you don't mind. I have to graph the linear equation using intercepts.
We want to find the places where the line
2x - 3y = 12
intercepts y-axis and x- axis
y- interceptWhen the line intercepts y axis, we know that x=0, we replace it in the equation so we can find y value:
2x - 3y = 12
↓
2 · 0 - 3y = 12
↓
0 - 3y = 12
-3y = 12
y = 12 / -3
y = -4
x - interceptIn the same way, we find the interception with x- axis when y = 0. We find the value of x replacing y by 0 in the equation:
2x - 3y = 12
↓
2x - 3 · 0 = 12
↓
2x - 0 = 12
2x=12
x = 12 / 2
x = 6
GraphWe locate both points: y = -4 and x = 6:
Finally, we join the points with a straight line
A window in the shape of a parallelogram has the dimensions given. What is the area of this window? 20 ft² 24 ft² 28 ft² 40 ft² Parallelogram A B C D with side A D parallel to side B C and side A B is parallel to side D C. Point E is on side A B. Segment A E is 2 ft. Side D C is 5 ft. A dotted segment D E runs from point D to the opposite side A B and is perpendicular to side A B. Segment D E is 4 ft
The shape of a parallelogram has the dimensions the area of the window is 8 ft².
To find the area of the parallelogram-shaped window the formula:
Area = base × height
Given:
Segment AE = 2 ft
Segment DE = 4 ft
Segment DC = 5 ft
Since segment DE is perpendicular to side AB and acts as the height of the parallelogram, use DE as the height.
So, the base of the parallelogram is AE, and the height is DE.
Base = AE = 2 ft
Height = DE = 4 ft
calculate the area:
Area = Base × Height
Area = 2 ft × 4 ft
Area = 8 ft²
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9) Before hibernation, a bear weighs 990 pounds. Its weight decreases by 32% during hibernation. How much does the bear weigh when it comes out of hibernation? Show your work.
The weight of the bear after hibernation is 673.2 pounds
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Before hibernation, a bear weighs 990 pounds.
Its weight decreases by 32% during hibernation.
We need to find how much the bear weigh when it comes out of hibernation.
Lets find what is 32% of 990
32/100×990
0.32×990
316.8
Now let us subtract 316.8 from 990 pounds, to find the weight after hibernation.
990-316.8
673.2
Hence, 673.2 pounds is the weight of the bear after hibernation.
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y= 3/5x -7
is it a function?
Answer:
D
Step-by-step explanation:
at a cafeteria, mary orders two pieces of toast and a bagel, which comes out to $\$3.15$. marie orders a bagel and a muffin, which comes out to $\$3.30$. maria orders a piece of toast, two bagels, and three muffins, which comes out to $\$9.15$. how many cents does one bagel cost?
One bagel costs 155 cents.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.
Let x = cost of one bagel
y = cost of one toast
z = cost of one muffin
If two pieces of toast and a bagel costs $3.15, then 2y + x = 3.15.
2y + x = 3.15 ⇒ x = 3.15 - 2y (equation 1)
If a bagel and a muffin costs $3.30, then x + z = 3.30.
x + z = 3.30 (equation 2)
Substitute equation 1 to equation 2.
x + z = 3.30 (equation 2)
3.15 - 2y + z = 3.30 ⇒ z = 0.15 + 2y (equation 3)
If a piece of toast, two bagels, and three muffins costs $9.15, then
y + 2x + 3z = 9.15 (equation 4)
Substitute equations 1 and 3 to equation 4.
y + 2x + 3z = 9.15 (equation 4)
y + 2(3.15 - 2y) + 3(0.15 + 2y) = 9.15
y + 6.30 - 4y + 0.45 + 6y = 9.15
3y = 2.4
y = 0.8
Substitute the value of y to equation 1.
x = 3.15 - 2y (equation 1)
x = 3.15 - 2(0.8)
x = 1.55
Hence, the cost of one bagel is $1.55 or 155 cents.
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Which on is the correct answer
Answer:
y=-x-5
Step-by-step explanation:
Slope is the x, since slope is equal to -1, x=-1. For the y intercept you simply add or subtract the number given to you, since it is -5 you would add a -5 to the end of the equation
Which of the following is a true statement about the first movies made in hollywood?
A. Music was recorded as part of ghe film B. They were silent films C. they only lasted 30 minutes
D. they were filmed in color
The correct statement about the first movies made in Hollywood is: B. They were silent films.
During the early days of Hollywood, which refers to the late 19th and early 20th centuries, movies were primarily silent films. This means that there was no synchronized sound accompanying the visuals on screen. The technology for recording and reproducing sound in movies had not yet been developed.
Instead of recorded sound, music was often performed live in theaters during the screenings of these silent films. Musicians would play instruments or provide live vocal accompaniment to enhance the viewing experience. However, this music was not recorded as part of the film itself.
Additionally, during this time, color film technology was still in its early stages of development. Most films were shot and presented in black and white, as color film processes were not yet widely available or affordable.
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The donsity of inon is 7.87 g
cm
3
. What is its density in units of kg/m
3
? 6.9×10
7
3.0×10
−5
The density of iron is 7.87 x 10⁻⁹ kg/m³. This value is obtained by considering the density of iron 7.87 g/cm³.
Density is a measure of how much mass is contained within a given volume. In this case, the density of iron is stated as 7.87 g/cm³. This means that for every cubic centimeter of iron, there is a mass of 7.87 grams.
To convert the density from g/cm³ to kg/m³, we need to convert grams to kilograms and cubic centimeters to cubic meters.
To convert grams to kilograms, we divide by 1000 since there are 1000 grams in a kilogram. So, 7.87 g/cm³ is equal to 0.00787 kg/cm³.
To convert the density of iron from g/cm³ to kg/m³, we need to perform the following calculations.
First, convert grams to kilograms:
1 g = 0.001 kg
Therefore, the density of iron is 7.87 g/cm³ * 0.001 kg/g = 0.00787 kg/cm³.
Next, convert cubic centimeters to cubic meters:
1 cm³ = (0.01 m)³ = 0.000001 m³
Therefore, the density of iron is 0.00787 kg/cm³ * 0.000001 m³/cm³ = 7.87 x 10⁻⁹ kg/m³.
Hence, the density of iron in units of kg/m³ is 7.87 x 10⁻⁹ kg/m³.
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HOW DO I DO IT?! pls help this is homework and i need help and i have a test fiaday this week!
The wages earned by the worker after assembling 300 parts is $90.
What is equation?The equals sign indicates that two expressions in a formula, also known as an equation, are equal.
Given:
The no of parts assembled by the worker, n = 250,
The wage he gets, r = $75
The wage earned to assemble one part = 75 / 250 = $0.3
So, the wage earned by worker by assembling 300 parts = 0.3 × 300 = $90
Therefore, the wage earned by the worker after assembling 300 parts is $90.
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Please hurry,
(3x+1)+(2x+9)=180
What is the sum of "x"?
Answer:
x=34
Step-by-step explanation:
3x+1+2x+9=180
10+5x=180
5x=170
x=34
I have no clue for both of these please help
Step-by-step explanation:
please give me brainlest
A class of 24 students visited a science museum. Each student paid the
museum’s admission fee and $6 for lunch at the museum. The class spent
a total of $336. What was the admission fee that each student paid?
Answer:$14
$336/24
$14
Step-by-step explanation:
I need some help with this please! An explanation would be lovely too!
Answer:
20
Step-by-step explanation:
if m<ABC is = 40 and BD is besector then m<ABD = 20
Kim buys 6 pounds of apples.
What is the weight of the apples in kilograms?
Round to the nearest tenth, if necessary.
Answer: 2.7 kg
1 kilogram (kg) = 2.204623 pounds (lb)
\(\frac{6 lb}{1}\) × \(\frac{1 kg }{2.204623 lb}\) = 2.721553753 kg
You place 1 kg over 2.204623 lb since they are equal. In the above equation, the pounds (lb) cancel out since one is in the numerator (the number on top of the fraction) and one is in the denominator (the number on the bottom of the fraction). You multiply 6 by the 1 in the numerator and multiply the 1 in the denominator by 2.204623. This turns the equation into:
\(\frac{6 kg}{2.204623}\) =2.721553753 kg
You divide 6 by 2.204623 to get 2.721553753
To round to the tenths place, you include only the first number to the right of the decimal, which is 7. Since the number to the right of the 7 is less than five, it stays 7. If it were five or bigger, 7 would turn into 8.
The answer: 2.7 kg
What is the equation of the line that passes through the point (4, 6) and has an
undefined slope?
Answer:
x = 4
Step-by-step explanation:
a line with an undefined slope is a vertical line parallel to the y- axis, with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (4, 6 ) with x- coordinate 4 , then
x = 4 ← equation of line
After completing the fraction division 5 divided 5.3 miko used multiplication shown to check her work
Answer:
True
Step-by-step explanation:
Miko's work is not shown in this question. Regardless, her process of using multiplication to check her work is correct. When performing a division problem, you can multiply the quotient by the divisor and the product of this multiplication process should be equal to the dividend of the division problem. For example,
5 / 5.3 = 0.9434
0.9434 * 5.3 = 5
(25 POINTS)Please help me, and show all of your work step by step.
Now say you invest $6,500 and the highest interest rate you can find is 2.5% compounded annually, but you would have to leave this investment in the account for a minimum of 5 years. If you decide to wait 5 years to buy the car, how much more money will you have to save to buy a car at the price of $8,000? Use the compound interest formula A = P(1 + i)^n.
A = accumulated amount
P = principle
i = interest rate
n = number of years
Answer:
$ 645.85
Step-by-step explanation:
First you would plug 6,500 into P. The plug 2.5% as 0.025 into i. And plug the years (5) into n.
A = 6500 (1 + 0.025)^5 = 7354.15
That is the amount that would be in the account at the end of the 5 years.
Then you take the cost of the car (8,000) and subtract the money left in the account (7,354.15).
8000 - 7354.15 = 645.85
Your final answer would be rounded to the nearest cent, or the hundredths place.
-5(9 - 6k) with k = -3
Answer:
-135
Step-by-step explanation:
-5(9 - 6k)
Let k = -3
-5 ( 9 - 6*-3)
-5 ( 9 + 18)
-5 ( 27)
What is the area of the rectangle?
A. 60 units
B. 66 units
C. 70 units
D. 74 units
The area of the Rectangle is 70 units², So option (C) is the correct answer.
Let,
Length of Rectangle = 10 units
Width of Rectangle = 7 units
Area of rectangle = length × Width
Putting the Length and Width of the rectangle in the last equation.
So,
Area of rectangle = 10 × 7 units²
Area of rectangle = 70 units²
Hence, The area of the rectangle is 70 units².
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Find the value of x in the diagram below.
A. 3
B. 5
C. 8
D. 11
Answer:
Step-by-step explanation:
I forgot the name of the theorem, but I believe its called alternate interior; I took geometry 4 years ago. This means those two angle are exactly equal to each other
100 = 13x - 4
104 = 13x
x = 8