By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.
How many times do he need to use each cup?The volume of the sink is 512π in^3.
The blue cup is a cylinder of diameter = 4 in and a height = 8 in, then its volume is:
V = π*(4in/2)^2*8in = 32π in^3
The number of times that he needs to use this cup is given by:
N = (512π in^3)/(32π in^3) = 512/32 = 16
He needs to use 16 times the blue cup.
The green cup has a diameter = 8in and a height = 8in, then its volume is:
V' =π*(8in/2)^2*8in = 128π in^3
The number of times that he must use this cup is:
N' = (512π in^3/ 128π in^3) = 512/128 = 4
He needs to use 4 times the green cup.
If you want to learn more about volumes, you can read:
https://brainly.com/question/1972490
A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.
What is the initial value?
Answer: 200
Step-by-step explanation:
The initial value is 200, since this is the population before conservation efforts began.
Can someone help me please and thank you! :))))
Original price = $7200
But he bought it for 65%
So it is just 65% of $7200
0.65 * $7200 = $4680
if y=5x-3, find the value of y when x=0
Answer: [tex]Y=-3[/tex]
Step-by-step explanation:
[tex]Y=5x-3[/tex]
[tex]Y=5 * (x) -3[/tex]
Then replace x by 0
[tex]Y=5 * (0) -3[/tex] or [tex]Y= 5(0) -3[/tex]
[tex]Y=0 -3[/tex]
[tex]Y=-3[/tex]
rohana wants to find the volume of a sphere that has a radius of 10 feet. which equation can she use to solve for this value in cubic feet ?
The equation that can be used to determine the volume of the sphere is 4/3π10³
What is the volume of the sphere?A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.
Volume of a sphere = 4/3πr³
Where:
π = pi = 22/7r = radiusTo learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
hi anyone can help me :) i have no idea how to do it . pls help me thx
Explanation:
The first column is nothing but "2"s.
The second column has the sequence 2, 1, 0 from top to bottom. If the pattern keeps up, then the next value in the second column should be -1 since we're counting down by 1. Use a number line to see this.
So we have 2-(-1) = 2+1 = 3 or 2-(-1) = 3 as the next line. I think keeping it as 2-(-1) rather than 2+1 is beneficial so that the minus signs line up.
The result of 3 helps confirm that the final column of values (0,1,2) is incrementing by 1.
how do i get my math grade up
Answer:
just practice alot . .. ...........
Answer:
you could do all your work and try to ask the teacher for help
Step-by-step explanation:
A collector has 210 magazines and 300 books. She wants to maintain
this ratio in her collection but she needs to sell some of her items. If
she sells 21 magazines, how many total items should she sell from
her collection?
Answer:
51 total items
Step-by-step explanation:
210 Magazine : 300 Books
21 Magazine : 30 Books
If She wants to sell 21 magazines, she would have to sell another 30 books in order to maintain the ratio.
21 + 30 = 51
The diameter of a circle is 13 m. Find its circumference in terms of pie
Answer:
The answer is [tex]13\pi[/tex] or 40.84
Step-by-step explanation:
We are given the diamater so
[tex]r=\frac{d}{2}[/tex]
[tex]r=\frac{13}{2}[/tex]
[tex]r=6.5[/tex]
Formula for circumference.
Take note.
C = circumference
r = radius
[tex]C=2\pi r[/tex]
You want your answer in terms of Pi.
So we can write another equation.
[tex]2\pi r=\pi x[/tex]
x stands for the number in terms of Pi.
Now we can solve for x.
[tex]x=\frac{2\pi r}{\pi }[/tex]
Now lets plug in what we know.
[tex]x=\frac{2*\pi*6.5 }{\pi }[/tex]
[tex]x=13[/tex]
Greg works mowing lawns and babysitting.he earns $8.90 and hour for mowing and 7.90 and hour for babysitting how much will he earn for 6 hours of mowing and 5 hours of babysitting ?
Answer:
92.9
Step-by-step explanation:
8.90 times 6 equals 53.40
7.90 times 5 equals 39.50
39.50 plus 53.40 equals 92.9
Lashonda reads a book at a rate of 12 chapters per hour. How many chapters does she read in 3 hours?
Answer:
12×3=36
Step-by-step explanation:
hope ththis helped :))
What are the linear equations for the lines passing through the following points (3,4) and (5,8)
Answer:
The equation of the line is y = 2x + 2
Step-by-step explanation:
Given:The two points are (3, 4) and (5, 8)To find:- Equation of a linear line Solution:-
Equation of a linear line can be placed in the format:
y = mx + cFormula for finding the slope(m):
[tex] \sf{}m = \frac{x- x_1}{y - y_1} = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ \sf{}m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex] \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2[/tex]
Form the intermediate equation:
y = mx + c
[tex] \mathtt{y = 2x + c}[/tex]
Find the y-intercept:
Substitute (3,4) into the equation
[tex] : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}[/tex]
Form the equation:
[tex]: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}[/tex]
The equation of the line is [tex]\underline\mathfrak\red{{{y = 2x + 2}}}[/tex]
The volume of this rectangular prism is 72 in³. What is the missing measurement for c?
What is the length of the shipping carton?
Enter your answer in the box.
c = in
[tex]\huge\fbox\purple{ANSWER} [/tex]
[tex] \mathsf\pink{v = l \times w \times h}[/tex]
[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]
[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]
[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]
[tex] \mathsf \pink{6in = c}[/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
➣Given➣shipping carton basically shape is rectangular prism type➣its volume (shipping carton)=72in²➣its height =3in➣its width = 4in➣ assumption :- length "c"[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Let's substitute values according to given info[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Hence "c" (length) of Rectangular prism (shipping carton) is
[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]
Hope it helps !
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 33 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 33 students studied each week was 17. 7 hours. The sample standard deviation of 3. 9 hours. Find the p -value. The p -value should be rounded to 4-decimal places
Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.
What are the hypotheses tested?At the null hypothesis, it is tested if the students study 20 hours, that is:
[tex]H_0: \mu = 20[/tex].
At the alternative hypothesis, it is tested if they study less than 20 hours, that is:
[tex]H_1: \mu < 20[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are given as:
[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]
[tex]t = -3.39[/tex]
What is the p-value?Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.
More can be learned about the t-distribution at https://brainly.com/question/13873630
Which of the following represents 5 + 10? Mark all that apply.
10 yes ago the age of father was double than that of his daughter age. if the sum of their age is 50 yes find their present age
Answer:
Hope the picture will help you......
What is the total area of the three triangles? 12.5 square units 13 square units 13.5 square units 14 square units
The area of the considered 3 triangles is given by: Option B: 13 sq. units.
How to find the area of a triangle whose vertices' coordinates are given?Suppose the vertices of the considered triangle ABC are on [tex]A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)[/tex], then, the area of the triangle is given by:
[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]
For this case, the missing image is attached below.
The second and third triangle are easy as their base and height are parallel to x or y axis.
We will find area of third triangle by coordinates of its vertices.
Getting area of first triangle:
Coordinates of A : (4,10)Coordinates of B : (5,7)Coordinates of C : (7,8)Thus, we get:
[tex]Area_{ABC} = \dfrac{|4(7-8) + 5(8-10) + 7(10-7)|}{2} = \dfrac{7}{2} = 3.5 \: \rm unit^2[/tex]
Area of second triangle = [tex]\dfrac{|RS| \times h}{2}[/tex]base, and h is the perpendicular line connecting from line RS and the vertex T
From figure we see:
|RS| = 3 units, h = 3 units
Thus, area of second triangle = [tex]3 \times 3 /2 = 4.5 \: \rm unit^2[/tex]
Area of third triangle = [tex]\dfrac{|XY| \times h}{2}[/tex] where XY is base, and h is the perpendicular line connecting from line XY and the vertex Z
From figure we see:
|XY| = 5 units, h = 2 units
Thus, Area of third triangle = [tex]5 \times 2 /2 = 5 \: \rm unit^2[/tex]
Total area = 3.5 + 4.5 + 5 = 13 sq. units
Thus, the area of the considered 3 triangles is given by: Option B: 13 sq. units.
Learn more about area of a triangle from its vertices' coordinates here:
https://brainly.com/question/2532574
Answer:
13
Step-by-step explanation:
Turn the written information into a equation (exponential function):
Common ratio of 4; horizontal shift right 6
Step-by-step explanation:
common ratio is usually used for geometric sequences.
every term is created by multiplying the previous term by a certain constant factor (= common ratio).
this factor or common ratio is in our case 4.
such a sequence is a function f(x) for x being whole numbers.
a0 = 1
a1 = a0×4 = 1×4 = 4
a2 = a1×4 = 4×4 = 16
...
an = 4^n
as general function that is then
f(x) = 4^x
a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.
e.g. f_new(6) = f_old(0)
so, the function is
f(x) = 4^(x - 6) or (4^x)/4⁶
what is the least common denominator of 1/3 and 1/6
Answer: 6. this is like 3rd grade math just multiply 1/3 and 1/6 to see
Answer:
1/2
Step-by-step explanation:
1/6/1/3=1/2or2
I the not understand the question properly
IMAGE BELOW I WIL GIVE BRANLIEST
Answer:
The scale factor is 2.
Step-by-step explanation:
From the coordiante plane, we can see that:
Point H(4) has been expanded to 4 {4 · 2 = 8}
Point G(1) has been expanded to 2 {1 · 2 = 2}
Point I(-2) has been expanded to -4 {-2 · 2 = -4}
hope this helps!
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going
on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative
sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
O The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
O The representative sample contained an equal number of boys and girls.
Answer:
more girls than boys.
Step-by-step explanation:
because there is 95 girls compared to 65 boys, so whatever random numbers of both are pulled, girls will have the higher ratio.
5. A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?
8/45
3/25
4/25
2/15
Answer:
2/15
Step-by-step explanation:
Given:
A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?
8/45
3/25
4/25
2/15
Solve:
Knowing that total = 10 { 4 white balls and 6 yellow balls}
P(first white)=4/10=2/5 { 4 out of 10 balls are white}
P(second white)=3/9=1/3 { 3 out of 9 balls are white; Since no replaced}
P(both white)=2/5 × 1/3=2/15
Hence, Answer = 2/15
Lenvy~
The crime rate of a certain city is increasing by exactly 6% each year. If there were 550
crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2016.
Round to the nearest whole number.
Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 550(1 + 0.06)^t[/tex]
[tex]A(t) = 550(1.06)^t[/tex]
2016 is 26 years after 1990, hence:
[tex]A(26) = 550(1.06)^{26} \approx 2502[/tex]
The approximate number of crimes in the year of 2016 was of 2502.
More can be learned about exponential functions at https://brainly.com/question/25537936
2 2/3 - 1 1/2 - 4/5
what does it equal
Answer:
11/30
Step-by-step explanation:
Do you need an explanation?
You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34 degrees to the bottom of the iceberg. How many meters (to the nearest tenth) does the iceberg extend below the surface?
Answer: x = 4ooo sin 340 x = 223627 ft.
Step-by-step explanation: The angle between the waterline and the submarine is 34°. How deep is the submarine?
Question 2 of 5
Which choice describes the shape of the data?
83 84 85 86 87 88 89 90 91 92
A. Symmetric; not bell-shaped
ОО o
B. Not symmetric; not bell-shaped
C. Symmetric, bell-shaped
o
D. Not symmetric, bell-shaped
HURRY PLEASE SOLVE will give brainliest!!!
2
x-9 = -5
2=x 2+x + 4-2=2 2-6+
-4
2
X
+2= 4 + 62 =66 +9 = 75Philip is a football player who runs a pass route that takes a right angle bend as shown in the diagram below. Which do you think will have the greater magnitude; the average speed or the average velocity? explain why
Answer:
Average velocity
Step-by-step explanation:
The average speed is only different from average velocity because it has direction.
The average speed will be calculated with the hypotenuse A_C, but average velocity will be calculated with the two directions AB_BC.
What is the area of this figure?
Answer:
38.5
Step-by-step explanation:
to find the area of the triangle, you can do 11 x 3 ÷ 2 = 16.5
then you find the area of the triangles: 3 x 3 = 9
and 3 × 11 = 33
then you add them all to find a total area of 38.5
Find the area of a triangle
Answer:
240 feet
Step-by-step explanation:
The formula for finding the area of a triangle is: [tex]\frac{1}{2}bh[/tex], where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.
In this case, 20 is our height, and 24 is our base. Let's plug that into the formula.
[tex]1/2(20)(24)\\1/2(480)\\240[/tex]
Therefore, the area of the triangle is 240 feet.
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help guys with this question
Answer:
slope: 2
points: (2, 4), (6, 12)slope:
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\rightarrow \sf \dfrac{12-4}{6-2}[/tex]
[tex]\rightarrow \sf \dfrac{8}{4}[/tex]
[tex]\rightarrow 2[/tex]