Answer:
the total value of the liquid in the container is $29.4
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
Given data
Height h= 9 inches
Radius r= diameter/2= 2.5/2= 1.25in
Substituting we have
V= 1/3(3.14)*(1.25)²*9
V= 1/3*(3.14)*14.06
V= 44.156/3
V= 14.7in³
The volume of the cone is 14.7in³
Hence If 1 in³ of liquid costs $2
14.7in³ will cost $x
x= 14.7*2
x= $29.4
Which system of equations could be graphed to solve the equation below? log0.5x=log32 +x
Answer:
Step-by-step explanation:
The system of equation to be graphed is the following :
f(x) = Log_0.5 x
f(x) = Log_{3} (2 + x)
And the solution is the intersection point of the two graphs.
Check attachment for point of intersection.
Answer:
y1 = (Log x)/(Log 0.5)
y2 = [(Log 2)/(Log 3)] + x
Option D
Step-by-step explanation:
We are given;
Log_0.5_x = (Log_3_2) + x
To solve the equation graphically, we have to plot the graphs of these two functions and find the point of intersection of these graphs.
Using: log_a b = log b / log a
1) a = x, b=0.5
So, y1 = log0.5 x
Which gives; y1= (log x)/(log0.5)
2) a=2, b=3
So, y2 = (log_3 2) + x
So, y2 = (log 2 / log 3) +x
Hence, appropriate system is;
y1 = (Log x)/(Log 0.5)
And y2 = [(Log 2)/(Log 3)] + x
Looking at the options in the image attached, the correct solution that corresponds to our answer is Option D
Interpolate: Use the equation to determine what the student enrollment in 2003 likely was.
1244 students
Extrapolate: Use the equation to predict student enrollment in 2013.
2064 students
its answered ur welcome
Answer:
1244 students
2064 students
hope it helped
Step-by-step explanation:
Thanks
you were right
2x + 4 = 16
O A. x = 24
O B. x = 40
O c. x = 6
O D. x = 10
Answer:
C. x = 6
Step-by-step explanation:
You are solving for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First subtract 4 from both sides:
2x + 4 (-4) = 16 (-4)
2x = 16 - 4
2x = 12
Next, isolate the variable, x. Divide 2 from both sides:
(2x)/2 = (12)/2
x = 12/2
x = 6
C. x = 6 is your answer.
~
Find the coordinates of point B along a directed line segment from A(3,4) and
C(3,9) so that the ratio of AB to BC is 4:1.
We have been given two points. [tex]A(3,4)[/tex] and [tex]C(3,9)[/tex]. We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.
We will use segment formula to solve our given problem.
When a point P divides segment any segment internally in the ratio [tex]m:n[/tex], then coordinates of point P are:
[tex][\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left][/tex]
[tex](x_1,y_1)=(3,4)[/tex] and [tex](x_2,y_2)=(3,9)[/tex].
[tex]m=4,n=1[/tex]
Upon substituting our given information in above formula, we will get:
[tex][\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left][/tex]
[tex][\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left][/tex]
[tex][\right x=\frac{15}{5},y=\frac{40}{5}\left][/tex]
[tex][\right x=3,y=8\left][/tex]
Therefore, the coordinates of point B would be [tex](3,8)[/tex].
1. Michael ordered a chicken parm sandwich for $8, Xavier and Daniel both got a meatball sub for $7.75, and Tony got a veal parm for $9. Tony just got paid so he said the meal was on him as long as his friends took care of the tip. If they left an 18% tip how much would each of Tony's friends pay if they split it evenly?
a=$32.50
b=$5.85
c=$38.35
d=$1.95
2. Simplify: 5 * (10 * 6 + 9) - 9
a=345
b=336
c=291
d=741
Answer:
1 - D
2- B
Simple just use a calculator
Answer:
1. B
2. B
Step-by-step explanation:
you add all of the money first
32.50
it says 18%
so you multiply 32.50 times 18%
PEMDAS
parenthesis
exponents
multiply or divide left to right
add or subtract left to right
5 times 69 - 9
336
When the area of a triangle is A = 26cm2
and the base is b = 8 cm, what is the height?
h = _________
Answer:
6.5 cm
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
26 = 1/2 (8) *h
26 = 4h
Divide each side by 4
26/4 = 4h/4
6.5 = h
Answer:
6.5 cm
Step-by-step explanation:
Area = ½ × base × height
26 = ½ × 8 × height
26 = 4height
height = 6.5 cm
What is the exact value of sin 15°?
Answer:
Step-by-step explanation:
The result can be shown in multiple forms.
Exact Form:
√
6
−
√
2
4
Decimal Form:
0.25881904
…
I am 1,000,000 percent bamboozled. Can you help me out?
Trctdtrc Tdctdctdctdcrdcrsxrdxrsxrsxrdxrsxrdc
Step-by-step explanation:
Find the area of the shape.
Answer:
The area is [tex]78.54units^2[/tex]
The area would be 78.5[tex]units^2[/tex] (pi=3.14)
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi *radius^2[/tex]
To work the area of this quadrant you would first need to work out the area of the circle. You can do this by multiplying pi by the radius of 10 squared, this gives you 314.16.
The next step is to work out how much of the circle we need to work out the area for. As this is a right angle (90°) we know that this is [tex]\frac{1}{4}[/tex] of a circle. This is because the total of a circle is 360, and that by dividing 360 by 90, this gives you 4. This tells that this is a quarter of a circle.
The final step would be to divide the area of 314.16 by 4, this gives you 78.54. This is because we are using the area to work out the area of just one quadrant.
1) Multiply pi by 10 squared.
[tex]\pi*10^2=314.16^2[/tex]
2) Divide 360 by 90.
[tex]360/90=4[/tex]
3) Divide 314.16 by 4.
[tex]314.16/4=78.54^2[/tex]
Pi=3.14:
To work the area of this quadrant you would first need to work out the area of the circle. You can do this by multiplying pi by the radius of 10 squared, this gives you 314.
The next step is to work out how much of the circle we need to work out the area for. As this is a right angle (90°) we know that this is [tex]\frac{1}{4}[/tex] of a circle. This is because the total of a circle is 360, and that by dividing 360 by 90, this gives you 4. This tells that this is a quarter of a circle.
The final step would be to divide the area of 314. by 4, this gives you 78.5. This is because we are using the area to work out the area of just one quadrant.
1) Multiply pi by 10 squared.
[tex]\pi*10^2=314^2[/tex]
2) Divide 360 by 90.
[tex]360/90=4[/tex]
3) Divide 314.16 by 4.
[tex]314/4=78.5^2[/tex]
Please help!! what is the length of the line
Answer:
[tex]\sqrt136[/tex] (option D)
Step-by-step explanation:Consider the equation
2 5
x 2X-1
Solve for x.
According to the information from the U.S. Department of Labor, which factor has the GREATEST impact on raising labor productivity?
A)research & development
B)education & skill
C)profit sharing
D)recruitment
Recruitment has the GREATEST impact on raising labor productivity Because it is talking about labor productivity specifically. thus option D is correct.
What is Productivity ?Productivity is a measure of the amount of output produced by a given amount of inputs in a specific period of time.
Average Product of labor - It is the total output that a firm produces divided by the amount of workers required to produce that output.
Marginal Product of Labor - It is the additional output produced by a firm because of hiring extra workers .
Recruitment has the GREATEST impact on raising labor productivity Because it is talking about labor productivity specifically.
Hence, the option D is correct.
Learn more about the Productivity here;
https://brainly.com/question/15400721
#SPJ2
Solve and graph the inequalities. HELP ASAP PLEASE 6th grade math for my little brother
Answer:
here are some notes to help
20 POINTS! HELP! 20 POINTS ❗️
Which of the following pair of right triangles cannot be proven to be congruent? Select all that apply.
Answer:
1st picture:
1st case: two triangles are similar (AAA), not congruent
2nd case: two triangles are congruent (SAS)
2nd picture:
both cases satisfy: two triangles are congruent (ASA)
3rd picture:
1st case: two triangles are congruent (SAS)
2nd case: neither congruent or similar
Hope this helps!
:)
At a music store, a survey was conducted to find which genre of music the customers preferred. In the survey, every male customer was asked which genre of music was his favorite. Were the results of the survey valid?
A.
Yes, because the music store surveyed every tenth male customer.
B.
No, because the music store did not survey a sample that is representative of the population.
C.
No, because the music store did not have any female customers.
D.
Yes, because every male customer was surveyed.
Answer:
The answer is B
Step-by-step explanation:
I have study Island too and the answer C is wrong
Final answer:
The survey conducted only among male customers at a music store is not valid because it's not representative of the entire customer base, thereby introducing a selection bias.
Explanation:
The question asks whether the results of a music preference survey conducted only among male customers at a music store are valid. Answer choice B, No, because the music store did not survey a sample that is representative of the population, is correct.
A valid survey must aim to avoid selection bias by ensuring that its sample represents the entire population it intends to make statements about.
Surveying only male customers introduces a bias, as it excludes female customers, making the sample not representative of all music store customers. This compromises the survey's ability to accurately reflect the preferences of the entire customer base.
find the volume of the trapezoidal prism will mark brainliest pls answer
a)29 in3
b)48 in3
c)228 in3
d)2016 in3
Answer:
C : 228 in³
Step-by-step explanation:
Find f(-11/5) if f(n) = 5n + 6
A. -17
B. 5
C. -5
The correct answer of A. B. and C. was
B. If it isn't then my calculations are wrong.
The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin.
A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, x. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6.
Which outcome is represented by x?
rolling a two and the coin landing on tails
rolling a three and the coin landing on tails
rolling a two and the coin landing on heads
rolling a three and the coin landing on heads
Answer:
A: rolling a two and the coin landing on tails
Step-by-step explanation:
bc I got it right on edg 2020
Experimental probability: 3/10
The correct answer is rolling a two and the coin landing on the tails
ProbabilityA 3-column table with 10 rows.
Column 1 is labeled Trial with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Column 2 is labeled Outcome with entries H T, T T, H T, H H, H T, H T, T T, H T, T T, H H.
Column 3 is labeled Result with entries Fail, pass, fail, fail, fail, fail, pass, fail, pass, fail.
A pop quiz has 2 True/False questions. Paris used a 10-trial coin flip to simulate the results of guessing on the quiz. If T represents answering a question correctly, what is the experimental probability of correctly answering both questions by guessing?
Frequency of observed desired outcome: 3
Number of trials: 10
Experimental probability: 3/10
Therefore, the correct answer is
rolling a two and the coin landing on tails
To learn more about probability
https://brainly.com/question/1680970
#SPJ2
Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
Answer:
9 - 24y
Step-by-step explanation:
12 ( 3/4 - 2y)
Distribute
12 * 3/4 - 12 * 2y
36/4 -24y
Simplfiy
9 - 24y
find the exact length of the third side
Answer:
47
Step-by-step explanation:
The third side is called the hypotenuse, lets call that the x side.
So we are finding x.
The two other sides add up to the hypotenuse, x.
35 + 12 = 47
1. The population of a town was 500 in 2010. The population grows at a rate of 9.6% annually.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.
(a) Estimate the population of the town in 2020. Show your work.
We have been given that the population of a town was 500 in 2010. The population grows at a rate of 9.6% annually.
We will use exponential growth formula to solve our given problem.
[tex]y=a\cdot (1+r)^x[/tex], where,
y = Final amount,
a = Initial value,
r = Growth rate in decimal form,
x = Time.
Let us convert 9.6% into decimal as:
[tex]9.6\%=\frac{9.6}{100}=0.096[/tex]
We can see that initial value is 500.
[tex]y=500\cdot (1+0.096)^x[/tex]
[tex]y=500\cdot (1.096)^x[/tex]
Therefore, the equation [tex]P(t)=500\cdot (1.096)^t[/tex] represents the population t years after 2010.
To find the population of the town in 2020, we will substitute [tex]t=10[/tex] in our equation as:
[tex]P(10)=500\cdot (1.096)^{10}[/tex]
[tex]P(10)=500\cdot (2.5009530650806592)[/tex]
[tex]P(10)=1250.4765325403296\approx 1250[/tex]
Therefore, the population of the town would be approximately 1250 in 2020.
evaluate the expression for k=6
42/k
Graph the linear equation ax+by=c, where a=0,b=1, and c=1.5
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 1.5
The histogram shows the birth weights of 1000 mice.
Frequency density
18
20
6 8 10 12 14 16
Birth weights (grams)
Work out the number of mice with birth weights below 10 g.
Answer:
120
Step-by-step explanation:
Each square=x
6g-10g=4g 10g-12g=2g 12-14g=2g
15g-14g=1g 16g-15g=1g 20g-16g=4g
(4x3)+(2x8)+(2x11)+(1x23)+(1x19)+(4x20
12+16+22+23+19+8=1000
x=1000
1000÷100=10
1 box = 10
4×30=120
(I got this answer through help of others, it is not truly mine)
To find the number of mice with birth weights below 10 grams on a histogram, multiply the frequency by the given class width for that weight range and sum frequencies if multiple bars are relevant.
Explanation:The student is asking how to work out the number of mice with birth weights below 10 grams, based on a given histogram. Since the histogram is not displayed here, I will explain the general process for determining the number of mice under a certain weight category using a histogram. First, find the bar that represents the birth weights below 10 grams. The height of this bar corresponds to the frequency density for this class interval. If the class width (the range of values within the category) is 1 gram, then the frequency (number of mice) in this bar can be found by multiplying the frequency density by 1 gram. If the histogram does not provide frequency directly and instead gives frequency density, you must also know the class width to calculate the number of mice. Multiply the frequency density by the class width to find the frequency. If multiple bars (class intervals) cover birth weights below 10 grams, sum the frequencies of all relevant bars to calculate the total number of mice with weights below 10 grams.
Learn more about Analyzing Histograms here:https://brainly.com/question/2854444
#SPJ3
What is the perimeter of this title?
Is it in. or in2
Answer:
P = 16 inches
Step-by-step explanation:
The perimeter is given by
P = 2(l+w)
= 2(2in+6in)
= 2 ( 8in)
= 16 in
By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 60%?
Step-by-step explanation:
The product of the original numbers: xy
The product of the altered numbers (.75x)(.5y), or 0.375xy
The product has decreased by 1 - 0.375, or 0.625, or 62.5%
Answer:
Original product:
P1 = a x b
Decreased product:
P2 = a x (100 - 20)/100 x b x (100 - 60)
= a x b x 80/100 x 40/100
= a x b x 8/25
=> P1/P2 = 8/25
or
P1 is decreased by: 1 - 8/25 = 17/25 = 68%
Hope this helps!
:)
3x - 5
12x
1+x
x2 + 5x + 6
Which one doesn’t belong?
Answer:
(16 x − 4 , x² + 5x) + 6
if we simplify it
but i don't know what your asking exactly..
The original dimensions of the great pyramid of Giza in Egypt were 146 meters tall and 229 meters on each side of the square base. What was the original volume of this pyramid.
A. 2,552,129
B. 1,627,121
C. 2,429,586
D. 2,337,655
Answer:
A. 2,552,129 m^3.
Step-by-step explanation:
Volume of a pyramid = 1/3 * height * area of the square base
= 1/3 * 146 * 229^2
= 2552129 m^3.
Write the series using summation notation.
4 + 8 + 12 + 16 + 20+ . . . + 80
Answer:
[tex]\sum ^{20} _{n \to \11} 4n[/tex]
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 = [tex]\sum ^{20} _{n \to \11} 4n[/tex]
The series 4 + 8 + 12 + 16 + 20 + ... + 80 can be expressed in summation notation as Σ[4 + (i - 1) × 4] for i = 1 to 20.
To write the series 4 + 8 + 12 + 16 + 20 + ... + 80 using summation notation, we first identify that it is an arithmetic series. An arithmetic series is a sequence of numbers in which the difference between consecutive terms is constant.
The given series: 4, 8, 12, 16, 20, ..., 80
We can observe that the common difference (d) is 4, and the first term (a) is 4. The nth term of an arithmetic series can be given by:
a + (n-1)d
Here, the nth term is 80. Setting up the equation for the nth term:
4 + (n-1)4 = 80
Simplifying this equation:
4 + 4n - 4 = 804n = 80n = 20
Thus, the series has 20 terms. We can write the series in summation notation as follows:
Σ[4 + (i - 1) × 4] for i = 1 to 20
To find the sum of this arithmetic series, we use the formula for the sum of an arithmetic series:
Sum = n/2 × (first term + last term)
Here, first term (a1) = 4, last term (an) = 80, and n = 20. So,
Sum = 20/2 × (4 + 80) = 10 × 84 = 840
Therefore, the summation notation for the series is Σ[4 + (i - 1) × 4] for i = 1 to 20, and its sum is 840.
Solve this system of equations
{2x + y = 11
{5x - y = 10
Answer:
solution: (3, 5)
Step-by-step explanation:
Solve this system of equations
{2x + y = 11
{5x - y = 10
add the equations to use elimination method.
2x + 5x + y - y = 11 + 10;
7x = 21
x = 21/7 = 3
x = 3
y = 11 - 2x = 11 - 2*3 = 11 - 6 = 5