Rob has 6 quarts of apple cider for the fall fair. He pours the cider into glasses to set on picnic tables. He pours 6 ounces of cider into each glass. How many glasses of cider does Rob set on the tables? Show your work.
Answer:
6 x 32 = 192 divided by 6 = 34
Step-by-step explanation:
Teresa is loading her car with boxes that each weigh 4 pounds. If Teresa loads 9 of these boxes, find the combined weight of the boxes.
A.42 3/4
B.13 3/4
C.36 3/4
D.40 1/4
Triangle PQR with area 32cm square and base QR is an enlargement of Triangle ABC with area 8 cm square and base BC=3cm , what is the length of QR in cm?
a) 6
b) 8
c) 10
d) 12
Answer:
6 cm (Option A)
Step-by-step explanation:
GIVEN :-
ΔPQR whose area is 32 cm² & has base QR.ΔABC whose area is 8 cm² & has base BC = 3 cmΔPQR is an enlarged figure of ΔABC.TO FIND :-
Length of QRFACTS TO KNOW BEFORE SOLVING :-
Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.
[tex]=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2[/tex]
SOLUTION :-
In the question it's given that ΔPQR is an enlarged figure of ΔABC.
⇒ ΔPQR is similar to ΔABC.
[tex]=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2[/tex]
[tex]=>\frac{32}{8} = (\frac{QR}{3})^2[/tex]
Root squaring both the sides ,
[tex]=> \sqrt{(\frac{QR}{3})^2} = \sqrt{\frac{32}{8} }[/tex]
[tex]=> \frac{QR}{3} = \sqrt{4} =2[/tex]
Multiplying both the sides by 3 ,
[tex]=> \frac{QR}{3} \times 3 = 2 \times 3[/tex]
[tex]=> QR = 6 \:cm[/tex]
Determine the value of x.
Question 11 options:
A)
5
B)
5
C)
10
D)
Answer: [tex]\frac{10}{\sqrt{3}}[/tex]
This is equivalent to [tex]\frac{10\sqrt{3}}{3}[/tex]
======================================================
Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression [tex]\frac{10}{\sqrt{3}}[/tex] is the same as [tex]\frac{10\sqrt{3}}{3}[/tex] after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
This entire process only applies to 30-60-90 triangles.The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse is [tex]2x = 2*\frac{10\sqrt{3}}{3} = \frac{20\sqrt{3}}{3}[/tex] units long. You could use the tangent ratio to help isolate x. You would either say tan(30) = x/10 or tan(60) = 10/x as the first equation to set up.Twice a number is 14. What is the number
Answer:
7
Step-by-step explanation:
Divide 14 by 2
If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the
new function?
• Shift 1 unit left
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
O A. g(x) = -3(x + 1)2
B. g(x) = -3x2 - 1
C. g(x) = (-3x + 1)2
D. 9(x) = -3(x - 1)
Answer:
C. g(x) + (-3x + 1)2
Step-by-step explanation:
did the test for it
Any Answers and explanation to this?
Answer:
give a thanks first and then ill tell you
Step-by-step explanation:
Answer:
Maybe it's D) or c) if not i'm du.mb and sorry
Step-by-step explanation:
Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and d are integers.
1. x2 - 6x + 8 = (ax + b)(cx + d)
2.3x3 - 6x2 - 24x = 3x(ax + b)(cx + d)
3. 2x2 - 2x - 24 = (ax + b)(cx + d)
Fill in the table with the missing values of a, b, c, and d.
9514 1404 393
Answer:
(a, b, c, d) = (1, -4, 1, -2)(a, b, c, d) = (1, -4, 1, 2)(a, b, c, d) = (1, -4, 2, 6)Step-by-step explanation:
Once you remove the common factor from the terms, you are looking for factors of the remaining constant term that have a sum equal to the coefficient of the linear term. These factors are the constants in the binomial factors.
__
1. 8 = (-4)(-2) ⇒ x^2 -6x +8 = (x -4)(x -2)
(a, b, c, d) = (1, -4, 1, -2)
__
2. -8 = (-4)(+2) ⇒ 3x^3 -6x^2 -24x = 3x(x -4)(x +2)
(a, b, c, d) = (1, -4, 1, 2)
__
3. -12 = (-4)(3) ⇒ 2x^2 -2x -24 = 2(x -4)(x +3) = (x -4)(2x +6)
(a, b, c, d) = (1, -4, 2, 6) or (2, -8, 1, 3)
Find the next term of the sequence 2, 8, 32, ...
the next term of sequence is 128
solve the equation
f(n)=10⋅2n for n = -2
Answer:
f(n)= -40.
Step-by-step explanation:
Find the missing measure for a right circular cone given the following information.
Find h if r = 5 and V = 100 pi.
4
12
30
Answer:
[tex]Volume = \frac{1}{3} \pi r^2 h \\\\r= 5\\Volume = 100\pi\\\\Find \ h.\\\\h = 3\frac{V}{\pi r^2} = 3 \times \frac{100 \pi}{\pi \times 5^2} = 3\times \frac{100}{25} = 3 \times 4 = 12[/tex]
The confidence interval is pretty wide and leaves a lot of uncertainty over the proportion of UCI students who live on campus. With the goal to estimate a narrower 95% confidence interval, what is a simple change to this study that you could suggest for the next time that a similar survey is conducted
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Researchers must increase the response rate to achieve a narrower confidence interval. Because we see that the trust gap is inverse to sample size. We must increase data in estimating a narrower 95-percent trust range. Since the sample has increased, its error margin has decreased, this reduces the width of the trust interval.
please do both of them THANK YOU
Answer:
4(3+x)
4x+12
Step-by-step explanation:
Hi there! I am Mizuki, and I'm just answering lol
Anyways, the answer for the first problem is 12 + 4x = 44
The answer for the second problem is 8
Work:
12 + 4x = 44
4x = 32
x = 8
A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value
Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
The sample mean and standard deviation :
Sample mean, xbar = (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s = 1.40 ( calculator)
Hypothesis :
H0 : μ = 2.4
H0 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11
Pvalue(1.071, 11) two - tailed
= 0.3069
= 0.307
The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answer:
461.6 ft³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(7²)(9)
= 49·3π
= 147(3.14)
= 461.6 ft³
in a study of 225 adults the average heart rate was 72 beats per minute assume the population of heart rates is known to be approximately normal with a standard deviation of 10 beats per minute what does a margin of error of 1.1 for the 90% confidence interval of the average beats per minute mean
Answer:
There Is A 90% Chance That The Population Mean Is Between 70.9 And 73.1 Beats Per Minute. There Is A 90% Chance That The Population Mean Is Between 62 And 82 Beats Per Minute. There Is A 10% Chance That The Population Mean Is Less Than 72 Beats Per Minute
Hope it helps
Suppose that you have the option to buy an itern with either cash or credit?Under which condition would you use credit?
A if you don't want to pay interest
B if you want to build a good credit history
C if you like carrying a lot of cash on you
Answer:
Step-by-step explanation:
B. You build credit by using credit cards so b is the answer.
What is the miss angle in F?
Answer:
45
Step-by-step explanation:
The two angles add to 90 degrees since they are a right angle
F + 45 = 90
F = 90-45
F = 45
It’s simple math I’m just confused
Answer:
26 units
Step-by-step explanation:
make a proportion: so sides correspond alongside eachother.
so, 15/10 =24/Y, i know you need to solve for x, but you have to find the other blank length.
now cross multiply, 10*24=15*Y
240=15Y
240/15=
Y= 16
now add Y to the length 10 to get X. So you get 10+16=26
PLS HELP WITH THIS IN YHE RIGGHT ORDER I MARK YOU BRAINLIEST
A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.
Answer:
Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.
Step-by-step explanation: read above and trust
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
What percentage of $250 is $75?
To calculate the percentage,
75/250×100 = 30%
Answer:
30%
Step-by-step explanation:
75/250=0.3
0.3= 3/10
3/10=30%
hey can i get help here? im just a middle schooler and my school just jumped into this with no explanation. so far highschoolers helped me understand it more than any teacher could. so in those terms, thank you so much!
Answer:
the closest answer is the last option, so I would say that is the correct one.
Step-by-step explanation:
4.5 x 4.5 x π =
20.25 x π =
63.6172....
Find the volume of the trapezoidal prism following.
Answer:
60 cm³
Step-by-step explanation:
Applying,
Volume (V) = Area of the base(A)×Height(h)
V = Ah................ Equation 1
From the diagram,
A = Area of Trapezium
A = 1/2(a+b)c............. Equation 2
Substitute equation 2 into equation 1
V = [1/2(a+b)c]h........... Equation 3
Given: a = 3 cm, b = 7 cm, c = 3 cm, h = 4 cm
Substitute these values into equation 3
V = [3(3+7)/2]4
V = (3×10/2)4
V = (3×5)4
V = 15×4
V = 60 cm³
Find the slope of the line to the right.
9514 1404 393
Answer:
-3/2
Step-by-step explanation:
Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...
slope = rise/run = (change in y)/(change in x)
slope = -3/2
24% of what is 25? Round to the nearest tenth.
Simplify each expression using Order of Operations.
a. 2(3 + 4) + 3 to the 3rd power
b. 5 + (3 to the 2nd power - 2 to the 2nd power)
Answer:
a) 4,913
b) 10
Step-by-step explanation:
a) [2(3 + 4) + 3]³
= [2(7) + 3]³
= (14 + 3)³
= 17³
= 4913
b) 5 + (3² - 2²)
= 5 + (9 - 4)
= 5 + 5
= 10
does anyone know the answer to this i need help really bad!!!
Step-by-step explanation:
1/20.5 is yr ansstay safe healthy and happy...is 0.45 greater than 0.5
Answer:
0.5
hope this helps
have a good day :)
Step-by-step explanation: