Answer:
The answer is "[tex]\bold{\frac{343 \ \pi}{24} \ \text{cubic units}}[/tex]"
Step-by-step explanation:
The volume of the mass whose cross-sectional area has been perpendicular is usually sliced by the method The cross-section, which is based to parallel to y-axis;
[tex]V = \int_{a}^{b} A (x)dx[/tex]
The semi-circular segment of the strong and seems to be perpendicular to foundation and
Y-axis parallel.
Its cross-section does have a diameter of: [tex](7-x)[/tex].
It also transverse radius is: [tex]\frac{1}{2}(7-x)[/tex].
The semi-circular segment area is,
[tex]Formula: \\\\ A(x)=\frac{1}{2} \times \pi \times r^2[/tex]
[tex]=\frac{1}{2} \times \pi \times (\frac{(7-x)}{2})^2\\\\=\frac{1}{2} \times \pi \times (\frac{(7-x)^2}{4})\\\\=\frac{1}{8}\pi(7-x)^2\\[/tex]
when
[tex]0 \leq \ x \ \leq 7[/tex]
Calculating the volume from the solid accordingly:
[tex]V= \int_{0}^{7}\frac{1}{8} \times\pi \times (7-x)^2 dx[/tex]
[tex]= \frac{1}{8} \pi \int_{0}^{7}(7-x)^2 dx \\\\= \frac{1}{8} \pi [\frac{(7-3)^3}{-3}]_{0}^{7}\\\\= \frac{\pi}{24} \times [7^3-0]\\\\= \frac{\pi}{24} \times 343\\\\= \frac{343 \pi}{24} \\[/tex]
While on your trip you get sick and eventually end up in the hospital. The doctor orders 120 mg of medicine to be given in the morning, and another 120 mg to be given at night. The nurse comes in to give you your morning dose and tells you that there are 30 mg in each tablet. How many tablets should you get?
Answer:
4 tablets
Step-by-step explanation:
If the morning dose is 120mg and each tablet is 30mg then all you do is divide 120 by 30 to get the answer 4
Step-by-step explanation:
4 tablets
by equatitg this term
120 = 30x ( X = number of tablets )
X = 4 tablets
Point A is located at (4, 7). It will be translated 5 units right and 3 units down. Write the rule and give the location of point A. Step by Step Explanation
Answer:
4,7 -> 9,4, rule: (x,y)->(x+5,y-3)
Step-by-step explanation:
Let’s write the rule first,
(x,y) -> (x+5,y-3) (right 3, down 3)
Now we add 5 to x and subtract 3 from y.
4,7 -> 9,4
Karen is working on a project that is due in 8 days.
So far, she has spent 3 2/5 hours on it and figures that she is about 4/8 done.
How many more hours will she need to spend on this project?
Express your answer as a decimal, rounded to the nearest hundredth
Given :
Karen spent 3 2/5 hours on it and figures that she is about 4/8 done.
To Find :
How many more hours will she need to spend on this project .
Solution :
Simplifying time spend in normal fraction .
[tex]t=3\dfrac{2}{5}=\dfrac{(3\times 5)+2}{5}\\\\\\t=\dfrac{17}{5}\ hours[/tex]
Now , time taken to complete full project .
[tex]x=\dfrac{17}{5} \times \dfrac{8}{4}\\\\x=6.8\ hours[/tex]
Therefore , hours required to complete the project is 6.8 hours .
Hence , this is the required solution .
an investment of $5000 earned $1050 for 1 year. How much will an investment of $9000 earn at the same rate for 1 year?
Answer:
Amount earned (New investment) = $1,890
Step-by-step explanation:
Given:
Amount invested = $5,000
Earned = $1,050
New investment = $9,000
Find:
Amount earned (New investment)
Computation:
Amount earned (New investment) = [Earned / Amount invested]New investment
Amount earned (New investment) = [1,050 / 5,000]9,000
Amount earned (New investment) = $1,890
A rectangle has a length of 5 root 26 i ched and a width of 2^1/5 inches find area if rectangle
Answer:
I believe the answer 2.2039 is if you meant inches by "i ched"
Step-by-step explanation:
Hope this helps
Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. If a randomly selected male’s height is at the 75th percentile, how tall is he (to the nearest tenth of an inch)?
Answer:
73.1 inches
Step-by-step explanation:
We solve for this using z score formula.
z-score is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
x = unknown = randomly selected male's height
μ = 70.3 inches
σ = 4.1 inches
z = is not given but we are given its percentile which is 75
The z score for a 75th percentile = 0.674
Hence,
0.674 = x - 70.3/4.1
Cross Multiply
0.674 × 4.1 = x - 70.3
2.7634 = x - 70.3
x = 70.3 + 2.7634
x = 73.0634 inches
The height of the randomly selected male = 73.0634
Therefore, the height of the randomly selected male to the nearest tenth of an inch is 73.1 inches
what solution is -19=b-6
Answer:
b = -13
Step-by-step explanation:
Answer:
b = - 13
Step-by-step explanation:
Step 1:
-19 = b - 6
Step 2:
- 19 + 6 = b
Answer:
b = - 13
Hope This Helps :)
5. A real estate agent earns 3.5% commission on the selling price of a home. Find the commission
earned on the sale of a $300,000 home.
$10,500
$5,500
$9,500
$3,500
Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone
call she made.
Cost of International
Long Distance Phone Calls
3
Cost of Call (dollars)
.
N
.
.
0
6 12 18 24
Length of Call (minutes)
Which conclusion is best supported by the scatterplot?
Answer:b
Step-by-step explanation:
Answer:d there is no relationship time and cost varies
Step-by-step explanation:
its conman sense
Find the slope of the line that passes through each
pair of points. Express as a fraction in simplest
form. (-2,6), (1,15)
Answer:
m = 3/1
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1) = (15 - 6)/(1 - (-2)) = 9/3 = 3/1
two consecutive integers who sum of 111
Answer:
55 and 56
Step-by-step explanation:
Let the first number = k
the second number = k + 1
k + k + 1 = 111
2k + 1 = 111
2k = 111 - 1
2k = 110
k = 110/2
k = 55
The two numbers are 55 and 56
Write 0.586 in simplest form
0.586 is already in simplest form but we can round if you choose to do so.
Round to the nearest hundreth.
0.586 -> 0.59
Round to the nearest tenth.
0.586 -> 0.6
Round to the nearest one.
0.586 -> 1
Best of Luck!
4) Given: f(x) = 4x – 1 g(x)= 3x - 2
Find:
f(x) + g(x)
f(x) *g(x)
f(g(x))
f(x) - g(x)
Step-by-step explanation:
f(x) = 4x - 1
g(x) = 3x - 2
1) f(x) + g(x) = (4x - 1) + (3x - 2)
= 4x - 1 + 3x - 2
= 4x + 3x -1 - 2 = 7x - 3
2) f(x) * g(x) = (4x - 1) * (3x - 2)
= 12x^2 - 8x - 3x + 2
= 12x^2 -11x + 2
3) f(g(x)) = 4(3x - 2) - 1
= 12x - 8 - 1
= 12x - 9
4) f(x) - g(x) = (4x - 1) - (3x - 2)
= 4x - 1 - 3x + 2
= 4x - 3x - 1 +2
= x + 1
what choice is NOT equal to the others? - 2/5. -2/5. 2/5. 2/-5
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]- 2/5= -\frac{2}{5}\\\\ -2/5= -\frac{2}{5}\\\\ 2/5 = \frac{2}{5} \\\\2/-5= -\frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
It has no minus behind any of the numbers.
Make up your own “which one doesn’t belong” example:
a. 8x^3-64
b. x^6+27y^3
c. 27-x^9
d. -x^3-8
A function is described by the following ordered pairs: (7, 4.5) (–4, 7.2) (–7.2, –4) (5.2, 3) Which set of ordered pairs represents the inverse of the function? (7, –4), (–7.2, –4), (3, 5.2), (4.5, –4) (7, –4), (–7.2, 5.2), (4.5, 7.2), (–4, 3) (4.5, 7), (7.2, –4), (–4, –7.2), (3, 5.2) (7, 4.5), (–4, 7.2), (–7.2, –4), (5.2, 3)
Answer: (4,5,7) ,(7.2,-4),(-4,-7.2),(3,5.2)
Step-by-step explanation:
Answer:
it's C
Step-by-step explanation:
Equivalent expression to 3y+4-6y-2
Answer : the answer is -3y + 2
Solve x[tex]x^{2} = 225[/tex]
Hi there!
~
Let's solve your equation step-by-step.
[tex]x^{2} =\ 255[/tex]
Step 1: Take square root.
[tex]x =[/tex] ± [tex]\sqrt{255}[/tex]
[tex]x = \sqrt{255}[/tex] or [tex]= - \sqrt{255}[/tex]
Hope this helped you!
(I need help again)
Which number is farthest to the right
A. —15
B. —1
C. 0
D. 1
Find -5
A. -5
B. 5
C. 1/5
D. -1/5
Answer:
5
Step-by-step explanation:
on a graph all of the regular numbers are on the left
Sam hss 100 cheese slices to make sandwiches. The equation below can be used to find s, the number of sandwiches he can make based on c, the number of cheese slices per sandwich.
s=100/c
Which equation is the same when solved for c in terms of s?
F. C=100/c
G. C=s/100
H. C=100-s
J. C= s-100
h c=100-s thats the cooreect answer
Answer:
G
Step-by-step explanation:
ion kno how to explain♀️♀️
What is 75% of 35 feet?
Answer:
26.25 feet
Step-by-step explanation:
A percentage is simply a ratio of the whole. If we assume 35 feet to be 100%, or the whole, then we can say the following:
0.75 * 35 == 26.25
Hence, 75% of 35 feet is 26.25 feet.
Cheers.
how many is 18 thousands x 10
When conducting a survey, which of the following is a reason to use a random sample?1. To make cause-and-effect connections2. To avoid bias3. No answer text provided.4. To systematically favors the correct choice over every other choice on each question
Answer: 2. To avoid bias
Explanation:
The random sampling can be defined as the method of selecting the samples from the population of interest randomly. The main advantage of this method is to select the samples from the target population and eliminating the bias in sampling. The random sampling is least choice of sampling for research purpose as the researcher wants to choose only selected desired samples for the study.
Yolanda will be travelling out of town for business. During her travel, she is scheduled to have 4 dinners, 5 lunches, and 3 breakfasts. Her employer will pay her
for these meals at the following rate:
$21.50 for dinner, $12.15 for lunch, and $5.73 for breakfast.
What is the total amount Yolanda will be paid for these meals?
Answer:
$163.94
Step-by-step explanation:
4 dinners at $21.50 each
5 lunches at $12.15 each
3 breakfasts at $5.73 each
4 • 21.50 = $86
5 • 12.15 = $60.75
3 • 5.73 = $17.19
86 + 60.75 + 17.19 = 163.94
Answer:
$163.94
Step-by-step explanation:
Dinners
Yolanda will have 4 dinners and each dinner costs $21.50
Multiply 4 and 21.50
⇒ 4 * 21.50
⇒ 86 = $86
Lunches
She will have 5 lunches that each cost $12.15
Multiply 5 and 12.15
⇒ 5*12.15
⇒ 60.75 = $60.75
Breakfasts
Yolanda is going to have 3 breakfasts at $5.73 for each breakfast.
Multiply 3 and 5.73
⇒ 3*5.73
⇒ 17.19 = $17.19
Find the total. Add the cost for dinners, lunches and breakfasts together.
$86 + $60.75 + $17.19
$163.94
Yolanda will be paid $163.94 for the meals.
Una prueba de resistencia se realiza en un circuito de 1.54 km.¿Cuántos kilómetros recorre el corredor si da 6 vueltas?
PORFAVOR AYUDA EN MENOS DE 15 MINUTOS
Answer:
La corredora correría 9 kilómetros y 24 pies.
Step-by-step explanation:
multiplique la longitud de una vuelta (1.54) por cuántos de ellos corrieron (6) para obtener cuántos kilómetros corrieron (9.24)
ZRQS, what
of one of the
Use the diagram shown.
re collinear.
5 and LN = 17.
alue of MN?
12. If mZ1 equals (2x + 3) and m23
equals (6x - 17), what is the value
of x? What is mZ1?
13. If m 2 equals (15a + 8) and m23
equals (5a - 8), what is the value
of a?
Cso that
hat is x?
Answer:
12. x = 5, m∠1 = 13°13. a = 9°Step-by-step explanation:
12..................................Given:
m∠1 = (2x + 3) m∠3 = (6x - 17) x? m∠1?Solution:
∠1 and ∠3 are vertical angles.
We know the property that vertical angles are equal:
2x + 3 = 6x - 176x - 2x = 3 + 174x = 20x = 5m∠1 = 2*5 + 3 = 13°13 ..................................Given
m ∠ 2 = (15a + 8) m ∠ 3 = (5a - 8)a = ?Solution
∠2 and ∠3 are supplementary angles.
We know the property that supplementary angles add up to 180°:
15a + 8 + 5a - 8 = 180°20a = 180°a = 180°/20a = 9°Two angles are supplementary if their sum is 180 degrees. The larger angle is 6 degrees more than five times the measure of the smaller angle. Let
x
represent the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
Answer:
Step-by-step explanation:
x+y=180
y=5*x+6
so
x+5x+6=180
6x=180-6
6x=174
x=174/6
x=29 degrees
y=29*5+6
y=145+6=151
y=151 degrees
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:
[tex]\frac{AB}{ED}=\frac{BC}{DF}[/tex]
Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:
[tex]\frac{x}{3.8}=\frac{15}{5}[/tex]
Reduce the right:
[tex]\frac{x}{3.8}=\frac{3}{1}[/tex]
Cross multiply:
[tex]x=11.4[/tex]
So, the value of x is 11.4
And we're done!
Please answer I will make you Brainliest The answer is not Carribean Plate!
Answer:
I am implying that the correct answer would be A, The Pacific plate.
Step-by-step explanation:
The Australian, Nazca and Pacific plates move up to four times faster than the smaller African, Eurasian and Juan de Fuca plates.
The 3 fastest plates:
Australian plateNazca platePacific plateAngles Q and R are supplementary. If the measure of angle Q =4x+9 and the measure of angle R is 8x+3, what is the measure of each angle?
Answer:
180°
Step-by-step explanation:
So supplementary agles are angles that add up to 180 degrees thus the measure of each angle is 180 degrees.
The 4x+ 9 and 8x+3 are meant to confuse you. But if you need help figuring out what x is i can help :)
HOPE IT HELPED.