Answer:
2 1/2 Cups
Step-by-step explanation:
1. 1/3=4s (s is represents the amount of grapes in a serving)
2. (1/3)/4=4s/4 will equal 0.0833...
3. (0.0833...)(30)=2.5
*Use a calculator to be exact, don't round
Does the graph represent a function? Why or why not
Answer:
B
Step-by-step explanation:
It passes the vertical line test. Going up and down it doesn't touch the line at two separate points at any time.
A cone has a height of 11 meters and a radius of 7 meters . What is the volume?
Answer:
V = 564.2 m^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
V = 1/3 pi (7)^2 (11)
V =539 /3 * pi
Letting pi be approximated by 3.14
V = 564.1533333 m^3
Rounding to the nearest tenth
V = 564.2 m^3
Answer:
564.512 m³
Step-by-step explanation:
Formula to find the volume of a cone is :
Volume = [tex]\frac{1}{3}[/tex] π r² h
Here,
r = radius = 7 m
h = height = 11 m
Let us solve now.
Volume = [tex]\frac{1}{3}[/tex] π r² h
Volume = [tex]\frac{1}{3}[/tex] π ×7² × 11
Volume = [tex]\frac{1}{3}[/tex] π × 49 × 11
Volume = [tex]\frac{1}{3}[/tex] π × 539
Volume = [tex]\frac{1}{3}[/tex] × 1693.538
Volume = 564.512 m³
Hope this helps you :-)
Let me know if you have any other questions :-)
I NEED HELP ASAP PLEASE!!! EXPLAIN TOO
(a) Air bounce: 37 < x < 61
Tide pool climb: [tex]x\leq 39[/tex]
(b) look at the uploaded diagram
(c) 37 < x [tex]\leq 39[/tex]
50, 53, 47, 50, 44, 47, blank, blank
solve for the next two numbers
Answer:
blank 1 - 41 .. 47 - 6
blank 2 - 44 .. 44 + 3
-
+ 3 – 6 + 3 – 6 + 3 - 6
Evaluate. 1. for x=-3 and y=2
-------------
-2 -3 5
2^ x^ y^
X = - 3
Y = 2
2^ x^ y^
=2^ (-3)^ (2)^
= (-6)^(2)
= -12Malachy was thinking of a number. Malachy adds 9 then divides by 3 to get an answer of 48. Form an equation with
x
from the information.
Step-by-step explanation:
Let,
Number = x[tex](x+9) \div 3=48[/tex]
[tex]x+9=48\times 3 [/tex]
[tex]x+9=144 [/tex]
[tex]x=144-9 [/tex]
[tex]x=135 [/tex]
Therefore,
The number = 135
How do you tell if a number is a solution of an equation?
Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true the number is a solution
What is the volume of a rectangular prism that is 8 m long, 7 m wide, and 5 m tall?
Include your steps, answer and label. (15 points)
2x+3y)^2– 24xy = (2x-3y)^2
Answer:
[tex]\mathrm{True\:for\:all}\:x[/tex]
Step-by-step explanation:
[tex]\left(2x+3y\right)^2-24xy=\left(2x-3y\right)^2[/tex]
[tex]\left(2x+3y\right)^2-24xy[/tex]
[tex]=4x^2+12xy+9y^2-24xy[/tex]
[tex]=9y^2-12xy+4x^2[/tex]
[tex]\left(2x-3y\right)^2[/tex]
[tex]a=2x,\:\:b=3y[/tex]
[tex]=\left(2x\right)^2-2\cdot \:2x\cdot \:3y+\left(3y\right)^2[/tex]
[tex]=4x^2-12xy+9y^2[/tex]
[tex]9y^2-12xy+4x^2=4x^2-12xy+9y^2[/tex]
[tex]\mathrm{Subtract\:}9y^2\mathrm{\:from\:both\:sides}[/tex]
[tex]9y^2-12xy+4x^2-9y^2=4x^2-12xy+9y^2-9y^2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-12xy+4x^2=4x^2-12xy[/tex]
[tex]\mathrm{Subtract\:}4x^2-12xy\mathrm{\:from\:both\:sides}[/tex]
[tex]-12xy+4x^2-\left(4x^2-12xy\right)=4x^2-12xy-\left(4x^2-12xy\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]0=0[/tex]
[tex]\mathrm{Both\:sides\:are\:equal}[/tex]
[tex]\mathrm{True\:for\:all}\:x[/tex]
Help please! No links or files (Its worth 30 points)
Answer:
130 i think
Step-by-step explanation:
2(58+7)
58+7+65x2=130
James borrows $4,200 to pay his college tuition. He signs a 5-year simple interest loan. Lf the monthly payments are $78. 40, what is the interest rate on the loan?.
The hypotenuse of a right triangle measures 18 cm and one of its legs measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth
Answer:
16 cm
Step-by-step explanation:
A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.
Since this is a right triangle, use the pythagorean theorem to find the value for x.
let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.
The pythagorean theorem is: c^2 = a^2 + b^2.
18^2 = 7^2 + x^2324 = 49 +x^2
x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm
Find the value of x
Answer:
17 degrees
Step-by-step explanation:
94 = 60 + 2x
94 - 60 = 2x
34 = 2x
x = 17 degrees
Which side is triangles show reflective sides?
Answer:
the answer is for that question is b
Perimeter of a rectangular polygon is 4cm.What is the measurement of one side? (Please show working out)
Answer:
1 cm
Step-by-step explanation:
You see, if the polygon is rectangular, it has 4 sides, and if the perimeter is 4cm, 4 divided by 4 is one.
Which of the following situations does NOT illustrate combination?
a. Choosing 2 songs from 10 choices for an audition piece
b. Fixing the schedule of a group of students who must take exactly 8 subjects
c. Enumerating the subsets of a set
d. Selecting a committee of 5 members from 30 students
Answer:
Step-by-step explanation:
Permutation and combination is very important in our daily life. By using it, we can already distinguish or identify the different possible ways of the things that we get or have.
Permutation refers to the different possible arrangements of a set of objects and order is very important while combination is the number of ways of selecting from a set when the order is not important.
Which of the following situations does NOT illustrate combination?
a. Selecting 2 songs from 10 choices for an audition piece
b. Fixing the schedule of a group of students who must take exactly 8 subjects
c. Enumerating the subsets of a set
d. Identifying the lines formed by connecting some given points on a Plane
In this situations, we can determine if it is all combination or not. Let's find it out.
a. Selecting 2 songs from 10 choices for an audition piece - this situation does not require any order or arrangement. That's why letter A illustrates combination.
b. Fixing the schedule of a group of students who must take exactly 8 subjects - in fixing and arranging the schedule of a group of students, it must have to be in order so that they can determine their subjects every hour or period and everyday. The schedule must be arrange properly so that the students must not get confused. That's why in this situation the order and arrangement is very important and it shows the concept of permutation not combination.
c. Enumerating the subsets of a set - in enumerating we are not required to make it in order. We can list the subsets of a set in any order, that's why letter C illustrates combination.
d. Identifying the lines formed by connecting some given points on a Plane - we can connect different and many given points in any directions to have a Plane. It is not required to connect all the points in order so that we can form a Plane. Also, in identifying the lines, we can write and list it in any order and that the order is not important.
In conclusion, the situation that does NOT illustrate combination is situation B, because it is more on the concept of permutation not in combination.
A representative of a car manufacturer in the United States made the following claim in a news report. "Ten years ago, only 53 percent of Americans owned American-made cars, but that figure is significantly higher today." A research group conducted a study to investigate whether the claim was true. The group found that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars. A test of the appropriate hypotheses resulted in a p-value of 0.283. Assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago?
i. Yes, because 0.56 > 0.53.
ii. Yes, because a reasonable interval for the proportion is 0.56 ± 0.283.
iii. Yes, because 0.56 - 0.53 = 0.03 and 0.03 < 0.05.
iv. No, because 0.283 < 0.53.
v. No, because 0.283 > 0.05.
According to the p-value, the correct option regarding the decision of the test hypothesis is:
v. No, because 0.283 > 0.05.
What are the hypothesis tested?At the null hypothesis, we test if the proportion is still of 0.53, that is:
[tex]H_0: p = 0.53[/tex]
At the alternative hypothesis, we test if it has increased, that is:
[tex]H_1: p > 0.53[/tex].
What is the decision according to the p-value?If p-value > significance level, we do not reject the null hypothesis.If p-value < significance level, we reject the null hypothesis.In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.
More can be learned about p-values at https://brainly.com/question/16313918
In a random sample of 64 children who received a new antibiotic for an infection 52 of the children had positive results within 12 hours. Find a 95% confidence interval for the proportion of children with infections who will experience positive results within 12 hours when treated with this antibiotic.
Answer:
2•58 ans if you solve prperly
Avi measures a leaf and finds it is 10.5 centimeters long.
How many millimeters long is the leaf?
1 cm = 10 mm
Answer:
105 millimeters
Step-by-step explanation:
PLEASE HELP ME ANSWER THIS I WILL GIVE BRAINLIEST FOR SMARTEST ANSWER!!!SHOW ALL WORK TOO
In ΔRST, ∠R = 85° and ∠S = 52°. Find ∠T.
Answer:
43°
Step-by-step explanation:
A triangle has a total angle of 180° and we can use it to find the answer.
The attachment is a visualization of the triangle.
In order to find angle T, we can use the triangle formula to find t.
[tex] {180}^{o} = r + s + t[/tex]
By substituting r and s, we will get
[tex] {180}^{o} = {85}^{o} + {52}^{o} + t[/tex]
Hence, we can find T, which is
[tex]t = {180}^{o} - {85}^{o} - {52}^{o} = {43}^{o} [/tex]
The function f(x)=18000(0. 52)x represents the value in dollars of a vehicle x years after it has been purchased new. What is the average rate of change in value per year between years 4 and 8?.
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=18000(0.52)^x \qquad \begin{cases} x_1=4\\ x_2=8 \end{cases}\implies \cfrac{f(8)-f(4)}{8-4} \\\\\\ \cfrac{[18000(0.52)^8]~~ - ~~[18000(0.52)^4]}{4}~~\approx ~~\cfrac{-1219.86}{4}~~ \approx ~~ -304.97[/tex]
notice, the rate is negative, because the car is losing value as the time moves on.
HELPPPPPPPThe police heighten patrols in a certain neighborhood corresponding to Rectangle EFGH,
which has vertices E(7, 7), F(1,5), G(2, 2) and H(8,4). Which is closest to the area of
rectangle EFGH?
Answer:
57.2 units^2
Step-by-step explanation:
The coordinates provided form a parallelogram, not a rectangle. See the attached image for a diagram of EFGH. The area of a parallelogram is given by:
Area = (Base) x (Height)
The attachment explains an approach of using right triangles to find the base and height of the parallelogram.
I'm not confident this was the best approach, so I hope someone would comment if a simpler solution is available.
Determine the yertices of the triangle whose sides lie on the lines:
x + 3y = 13, x- y =1, and 5x - y =-15
Answer:
4,3,
-2,5
-4,-5
Step-by-step explanation:
One soccer ball and one soccer jersey together cost $100 . They each cost a whole dollar amount.
Write an equation to represent this problem.
Describe the possible costs for the soccer ball and soccer jersey.
Answer:
B+J = 100
Soccer ball cost $40
Soccer Jersey cost $60
Step-by-step explanation:
Let soccer ball be B and soccer Jersey be J
so, B+J = 100
since each cost is a whole dollar,
Soccer ball cost " $40
Soccer Jersey cost $60
List all possible rational zeros of the given polynomial function
Answer:
Possible rational zeroes are [tex]\pm1,\pm2,\pm3,\pm6,\pm9,\pm18[/tex]
Step-by-step explanation:
The rational zero theorem states that potential zeroes of a given polynomial function written in descending order are equal to [tex]\pm\frac{factors\: of\: the\: constant\: term}{factors\: of\: the\: leading\: coeficient\: term}[/tex]
Choose an equivalent expression. * 8(3+5x)+7x +4
Answer:
28+47x
Step-by-step explanation:
distribute the 8 throughout the 3+5x
this leaves you with
24+40x+7x+4
combine your like terms
28+47x
Madeline surveyed the first 20 customers who entered a mall about whether they would like to have the mall open earlier. Of the 20 customers surveyed, 15 would like to have the mall open earlier. Which statement BEST explains why the results are invalid?
Only one question was asked in the survey.
Only 15 customers said they wanted the mall open earlier.
The customers surveyed live near the mall and shop in the morning.
The customers surveyed are not representative of all the customers who come to the mall.
Answer:
Step-by-step explanation:
The last statement : "The customers surveyed are not representative of all the customers who come to the mall".
For instance, if only half the mall want the mall to open earlier, but then out of the 20 people that we randomly picked, 15 of them are in the half, we could go to a wrong conclusion that most of the people want the mall to open earlier.
to fix the problem, you might just want to increase the area of the survey next time, or get more people to be in it, etc.
Which one is it? Please help! I need this done by tonight!
Answer:
The answer is 8^4+4. The last one
What is the value of x, rounded to the nearest tenth?
Answer:
x ≈ 31.8
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 34²
x² + 144 = 1156 ( subtract 144 from both sides )
x² = 1012 ( take square root of both sides )
x = [tex]\sqrt{1012}[/tex] ≈ 31.8 ( to the nearest tenth )
Answer:
20.8
Step-by-step explanation:
[tex]24 = \sqrt{ {12}^{2} + {x}^{2} } [/tex]
[tex] {24}^{2} = 144 + {x}^{2} [/tex]
[tex]576 - 144 = {x}^{2} [/tex]
[tex] {x}^{2} = 432[/tex]
x=20.8
