Answer:
17.....
....................
In ΔRST, r = 210 cm, s = 500 cm and t=560 cm. Find the measure of ∠T to the nearest 10th of a degree.
Answer:
95.3
Step-by-step explanation:
what is the answer of this 10+6=8+
Answer:
8
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
Answer:
8
Step-by-step explanation:
10+6=18; 8+8=16
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as much (per unit area) as glass, use Lagrange multipliers to find the dimensions of the aquarium that minimize the cost of the materials. (Enter the dimensions as a comma separated list; Note that the variable volume is a capital V and must be entered as such, using the shift rather than caps-lock key)
Answer:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:
[tex]V = l * b * h[/tex]
Make h the subject of the formula
[tex]h = \frac{V}{lb}[/tex]
The surface area (S) of the aquarium is:
[tex]S = lb + 2(lh + bh)[/tex]
Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:
[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]
[tex]C = 7lb + 2(lh + bh)[/tex]
[tex]C = 7lb + 2h(l + b)[/tex]
Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation
[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]
Differentiate with respect to l and with respect to b
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]
[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]
To solve for b and l, we equate both equations and set l to b (to minimize the cost)
[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]
[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]
By comparison:
[tex]l =b[/tex]
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes
[tex]7l - \frac{2V}{l^2}=0[/tex]
[tex]7l = \frac{2V}{l^2}[/tex]
Cross Multiply
[tex]7l^3 = 2V[/tex]
Solve for l
[tex]l^3 = \frac{2V}{7}[/tex]
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]
Recall that: [tex]l =b[/tex]
[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]
Also recall that:
[tex]h = \frac{V}{lb}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]
Apply law of indices
[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]
[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
The dimension that minimizes the cost of material of the aquarium is:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes, weighs each of them and computes its mean. Due to non-random selection or by chance, a researcher selects packets that have not been adequately filled and that is how he gets the mean weight of 98 g, which falls in the rejection region. The decision is to reject the null hypothesis even though the population mean is actually 100 g. Which kind of error has the researcher done in this case
Answer:
The kind of error the researcher has done is a;
Type I error
Step-by-step explanation:
When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion
Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection
I was wondering if anyone knew how to use a ti 84 to solve these. I just got one and it’s all very confusing to me.
PLEASEEE HELPPP members of a middle school Business Club want to raise money to attend a conference for young entrepreneurs so far the club has raised $450. members suggest a few new ideas. Jenna suggest that the club hold a carwash the Club will need to spend $30 on cleaning supplies before making a profit jenna presents her plan to the club using the table below make a graph of the data to show the relation
*please provide a graph
Part B: is the relation a function if so write an equation for the function
Answer:
Number of cars 16 profit-30
Mariko and her friend spent $24.50 on
lunch. Their lunches cost the same amount,
and they used a $4 off coupon. Determine
the cost of each lunch.
The cost: $14.25
Equation: 24.5=2c-4
The cost of each lunch is $10.25.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given;
Mariko and her friend spent $24.50 on lunch.
Their lunches cost the same amount,
and they used a $4 off coupon.
That means,
they spent = 24.5 - 4
= 20.50
And 20.50 divided by 2,
we get,
20.50/2
= 10.25
Therefore, $10.25 is the cost of each lunch.
To learn more about the division;
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find the m
A. 31
B. 12
C. 74
D. 106
Answer:
C is my answer
Answer:
D ∠U=106°
Step-by-step explanation:
∠TRS=∠RTU=31 (corresponding angles)
Since all angles in a triangle add up to 180:
∠TRS+∠RTS+∠RST=180
31+(4x-5)+(7x+22)=180
48+11x=180
11x=132
x=12
∠RST=7x+22=7(12)+22=84+22=106
∠RST=∠U (opposite angles in a rhombus are equal)
∠U=106°
In a code the vowels A-U in alphabetical order are replaced by the numbers 1-5, while the consonants B-Z in alphabetical order are replaced by the numbers 1-21. Thus ‘1 1 1 2’ could stand for either ‘ABAE’ or ‘BABE’. If the five words below are encoded, and the code numbers for the letters in each word are added up, which word has the largest total?
a] MATHS
b] EQUALS
c] ALGEBRA
d] PLUS
e] GEOMETRY
Answer:
A beacuse why not ya knoe
solve for x!! please helppp
Answer:
x=29
Step-by-step explanation:
The sum of angles in a triangle is 180deg.
We know this is a right triangle, so the third angle is 90deg, leaving us with 90deg for the other two.
(2x-2) + (x+5) = 90
3x + 3 = 90
3x = 87
x = 29
Answer:
here u go ...just do it and try to understand who I did it
Use the graph below to answer the question Y=-4(1/2)^x+2
Which data set has a median of 15?
18, 9, 19, 16, 6, 20.13
09, 17, 13, 15, 16, 8, 12
18, 15, 11, 14, 19, 15, 6
O 7, 16, 14, 16, 11, 7, 17
Help please.
Median is the middle value.
Each set has 7 numbers so put the numbers in order from smallest to largest. The median would be the 4th number in the sets.
Only 2 sets have the number 15 in them so those are the only two you need to look at.
The 3rd choice is the correct answer.
write as a square of a binomial: 4.8xy+36y^2+0.16 i will give brainliest plz solve
Answer:
[tex](0.4x + 6y)^2[/tex]
Step-by-step explanation:
Given
[tex]4.8xy+36y^2+0.16x^2[/tex]
Required
Express as a binomial squared
[tex]4.8xy+36y^2+0.16x^2[/tex]
Rewrite as:
[tex]0.16x^2+4.8xy+36y^2[/tex]
Expand
[tex]0.16x^2 + 2.4xy + 2.4xy + 36y^2[/tex]
Factorize:
[tex]0.4x(0.4x + 6y) + 6y(0.4x + 6y)[/tex]
Factor out 0.4x + 6y
[tex](0.4x + 6y)(0.4x + 6y)[/tex]
Express as a square:
[tex](0.4x + 6y)^2[/tex]
Pythagorean Theorem on the Coordinate Plane
Answer:
O.K.A.Y
Step-by-step explanation:
The volume of a cuboid is 420cm3.
The length is 10cm and the width is 7cm.
Work out the height of the cuboid.
The number of square tiles of side 25cm which can be paved on a rectangular floor of 3m
× 2m is:
Answer:
96 square tiles can be paved on a rectangular floor.
Step-by-step explanation:
First, we need to find the area of the square tiles:
[tex]A_{t} = (25 cm)^{2} = 625 cm^{2}[/tex]
Now, the area of the rectangular floor is:
[tex] A_{f} = 3m*2m = 6 m^{2}*\frac{(100 cm)^{2}}{1 m^{2}} = 60000 cm^{2} [/tex]
Finally, the number of square tiles which can be paved on a rectangular floor is:
[tex] N = \frac{A_{f}}{A_{t}} = \frac{60000 cm^{2}}{625 cm^{2}} = 96 [/tex]
Therefore, 96 square tiles can be paved on a rectangular floor.
I hope it helps you!
Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read
89 pages. Which equation most closely estimates how many pages Kevin has
remaining to read?
The equation most closely estimates the number of pages Kevin has remaining to read will be x + 73 + 89 = 295.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.
Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read 89 pages.
Let 'x' be the number of pages to be read. Then the equation is given as,
x + 73 + 89 = 295
More about the Algebra link is given below.
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An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematical skills, using a significance level of 0.05. The program is effective, which of the following would be an appropriate method for increasing power in this context?
a. Increase the sample size to 200 children.
b. Use a two-sided test instead of a one sided test.
c. Decrease the sample size.
d. Use alpha-0.01 instead of a-alpha.
e. Use a one sided test instead of a two-sided test.
Answer:
b) use a two-sided test instead of a one sided test.
Step-by-step explanation:
If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.
11. What geometric shape is a roll of paper towels?
(98)
Answer:
cylinder
Step-by-step explanation:
An item has a listed price of $65. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
Answer:
3.25$
Step-by-step explanation:
expand and simplify 2 (x+7) +3 (x+1)
2(x + 7) + 3(x + 1) =
= 2x + 14 + 3x + 3 = 5x + 17
Fred helped his mom make 40 dozen cupcakes for the last bake sale. For this sale, he is going to help make 20% more cupcakes. How many dozen cupcakes will Fred and his mom make?
Answer:
48 dozen cupcakes
Step-by-step explanation:
20 percent more is 120 percent overall, which as a decimal is 1.2. Multiply 40 by 1.2 and you have your answer.
1.2 * 40 = 48
Hopefully this helps- let me know if you have any questions
What is surface area of this? Click image
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
Helppppppppp plzzzzz !!!!
In a certain elementary school, 52% of the students are girls. A sample of 65 students is drawn.
1) What is the probability that less 60% of them are girls.
A) 0.0018
B) 0.8023
C) 0.8773
D) 0.9016
Type A, B, C, or D in the box
2) What is the probability that more than 70% of them to be girls.
A) 0.0018
B) 0.8023
C) 0.8773
D) 0.9016
Type A, B, C, or D in the box
3) Would it be unusual for more than 70% of them to be girls.
Type "usual" or "unusual" in the box
Answer:
a
c
b
i think those are right hope im not wrong good luck
Find the missing side.
Answer:
16 units
Step-by-step explanation:
4*4
Answer:
Step-by-step explanation:
A = bh/2
4b/2 = 4
4b = 8
b = 2 units
PLEASE HELP PLEASEEEEE I NEED IT QUICKLYYY
Answer:
C
Step-by-step explanation:
If you need the explanation tell me
:D
I need help please help...
Answer: A
Step-by-step explanation:
Answer:
Choice A) 140 m² (actual area = 135.46 m²)
Step-by-step explanation:
area = (12 x 16) - (3.14)(6²)(0.5)
area = 192 - 56.54 = 135.46 m²
i will give extra points please help
Answer:
22
Step-by-step explanation:
tbh I just plugged it in my calculator c:
hope this helped tho!!
WILL GIVE BRAINYEST!!! PLS HELP!!!
Mr. Hudson walked 12 miles in 3 hours. At this rate,
how far will he walk in 5 hours? Write your answer in
a complete sentence AND show your work.
The two rectanglesare similar. Which is a correct proportion between correspoding sides? I need help
Answer:
c. 12/4 = l/8
please follow me
find 2 numbers if their sum is 3 and their difference is 21
Answer:
the 2 numbers are 12 and -9
Step-by-step explanation:
x + y = 3
x - y = 21 Adding:-
2x = 24
x = 12
y = 3 - x = 3 12 = -9
Answer the 2 numbers are 12 and -9
Answer:
The numbers are 12 and - 9.
Step-by-step explanation:
12 - 9 = 3
- 9 to 12 is 21