Answer:
This means that b is not equal to -10.
Select all the statements that are true for △ABC.A. AH is an altitude.
B. IH is a median.
C. JC is a median.
D. The medians and altitudes intersect at the same point.
E. The altitudes intersect outside of the triangle.
The relationships between the two medians and an altitude marked on
ΔABC can be used to determine the true statements.
The true statements are;
A. AH is an altitudeC. JC is a medianReasons:
A median line is a line that extends from the vertex to the midpoint of the
opposite side, bisecting the opposite side.
In the figure, we have;
The median of ΔABC are; JC, and BI
The point of intersection is the point K
The altitude is a perpendicular line from a vertex to the opposite side
known as the base of the triangle.
The given altitude of ΔABC is; AH
Therefore, the statements that are true are;
A. AH is an altitude
C. JC is a median
Learn more about the median line and altitude of a triangle here:
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https://brainly.com/question/4420798
Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w
The element which should be used to help clarify a complicated idea in a text is ; A research question.
According to the question;
We are required to determine which element should be used to help clarify a complicated idea in a text.A research question is the best fit which should be used to help clarify a complicated idea in a text.
This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.
Read more:
https://brainly.com/question/18675306
Answer:
D:) a research question.
Step-by-step explanation:took the test
how do I make this as simplest form
qns: 5 2/3 + 3 1/10
pls answer
the prod. is 8 23/30
Answer:
That is the final product
Step-by-step explanation:
According to all sites I used, they all said that was in the simplest form and cannot be simplified lower than that.
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer:y=2.5x+5 i thank
Step-by-step explanation:
A company generally purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if 4 or more defective units are found in a random sample of 100 units. ​(a) What is the probability of rejecting a lot that is ​3% ​defective? ​(b) What is the probability of accepting a lot that is ​4% ​defective?
Using the binomial distribution, it is found that there is a:
a) 0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
b) 0.4295 = 42.95% probability of accepting a lot that is 4% defective.
For each device, there are only two possible outcomes, either it is defective, or it is not. The probability of a device being defective is independent of any other device, hence the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem, the sample has 100 units, hence [tex]n = 100[/tex].
Item a:
3% of the pieces are defective, hence [tex]p = 0.03[/tex].
The probability is:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.03)^{0}.(0.97)^{100} = 0.0476[/tex]
[tex]P(X = 1) = C_{100,1}.(0.03)^{1}.(0.97)^{99} = 0.1471[/tex]
[tex]P(X = 2) = C_{100,2}.(0.03)^{2}.(0.97)^{98} = 0.2252[/tex]
[tex]P(X = 3) = C_{100,3}.(0.03)^{3}.(0.97)^{97} = 0.2275[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0476 + 0.1471 + 0.2252 + 0.2275 = 0.6474[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.6474 = 0.3526[/tex]
0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
Item b:
4% of the pieces are defective, hence [tex]p = 0.04[/tex].
Lot is accepted if less than 4 units are defective, hence:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169[/tex]
[tex]P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703[/tex]
[tex]P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450[/tex]
[tex]P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0169 + 0.0703 + 0.1450 + 0.1973 = 0.4295[/tex]
0.4295 = 42.95% probability of accepting a lot that is 4% defective.
A similar problem is given at https://brainly.com/question/24863377
Please help me
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form.
When y=45 , x=40 .
y=kx
20=k(12)
k= 20/12 = 5/3
y= (5/3)x
y = 5x/3 or
3y=5x
Does anyone know how to do this function
Answer:
Step-by-step explanation:
f(x) = 2x + 1
g(x) = ?
h(x) = ln(x)
hgf(x) = ½ln(2x - 3)
All h(x) does is take a natural log of a number, therefore the output
gf(x) = [tex]\sqrt{2x - 3}[/tex]
the change between f(x) and fg(x) is a subtraction of 4 then raising the result to a power of ½.
g(x) = [tex]\sqrt{x - 4}[/tex]
If the Owen family has a child in two years, how much can they expect to spend, per year, to raise the child from its birth to when it is five years old?
Answer: A. 65,250+139,560= 204,810. 204,810/18=11,378
I hope it is right
Answer:
The answer would be 13,050
Step-by-step explanation:
In order to get the answer, you have to do 65,250 divided by 5 years and you should get 13,050 on your calculator.
310.11 divided by 2????
Answer:
155.055
Step-by-step explanation:
hope this helps
Answer:
155.055
Step-by-step explanation:
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)
Answer:
447
Step-by-step explanation:
Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?
Answer:
68
Step-by-step explanation:
8 boxes. 10 per one box. 8×10=80
80-12= 68
Please answer the 4 questions :)
Step-by-step explanation:
The lines or plains which contain R:
1. Parallel to SP ⇒ segment RQ2. Perpendicular to SP ⇒ segment RS3. Skew to SP ⇒ segment RK4. Plane parallel to KLM ⇒ plane RSPhow is 7 square root 2 is equal to 49?
Answer:
Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$
9514 1404 393
Answer:
$9.86
Step-by-step explanation:
The numbers in your problem statement are somewhat garbled. We understand the problem to be ...
Given:
earnings: $11.60 per hour
1/10 of earnings donated
8 1/2 hours worked
Find:
the amount donated
Solution:
The amount donated will be the product of the given numbers:
($11.60 /hour)×(8.5 hours)×(1/10) = $9.86
Kendra donated $9.86 to the charity last week.
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $8 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that would enclose the most area.
The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.
In this question we shall use the first and second derivative tests to determine the optimal dimensions of a rectangular plot of land. The perimeter ([tex]p[/tex]), in feet, and the area of the rectangular plot ([tex]A[/tex]), in square feet, of land are described below:
[tex]p = 2\cdot (w+l)[/tex] (1)
[tex]A = w\cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width, in feet.[tex]l[/tex] - Length, in feet.In addition, the cost of fencing of the rectangular plot ([tex]C[/tex]), in monetary units, is:
[tex]C = c\cdot p[/tex] (3)
Where [tex]c[/tex] is the fencing unit cost, in monetary units per foot.
Now we apply (2) and (3) in (1):
[tex]p = 2\cdot \left(\frac{A}{l}+l \right)[/tex]
[tex]\frac{C}{c} = 2\cdot (\frac{A}{l}+l )[/tex]
[tex]\frac{C\cdot l}{c} = 2\cdot (A+l^{2})[/tex]
[tex]\frac{C\cdot l}{c}-2\cdot l^{2} = 2\cdot A[/tex]
[tex]\frac{C\cdot l}{2\cdot c} - l^{2} = A[/tex] (4)
We notice that fencing costs are directly proportional to the area to be fenced. Let suppose that cost is the maximum allowable and we proceed to perform the first and second derivative tests:
FDT
[tex]\frac{C}{2\cdot c}-2\cdot l = 0[/tex]
[tex]l = \frac{C}{4\cdot c}[/tex]
SDT
[tex]A'' = -2[/tex]
Which means that length leads to a maximum area.
If we know that [tex]c = 8[/tex] and [tex]C = 4000[/tex], then the dimensions of the rectangular plot of land are, respectively:
[tex]l = \frac{4000}{4\cdot (8)}[/tex]
[tex]l = 125\,ft[/tex]
[tex]A = \frac{(4000)\cdot (125)}{2\cdot (8)} -125^{2}[/tex]
[tex]A = 15625\,ft^{2}[/tex]
[tex]w = \frac{15625\,ft^{2}}{125\,ft}[/tex]
[tex]w = 125\,ft[/tex]
The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.
We kindly invite to check this question on areas: https://brainly.com/question/11952845
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
Find the value of y.
Answer:
y = 155
Step-by-step explanation:
6x + 1 = 2x + 17
x = 4
2 · 4 + 17 + y = 180
y = 155
I hope that this helps!!
The following accounts appear in the ledger of Monroe Entertainment Co. All accounts have normal balances.
Accounts Payable $1,500 Fees Earned $3,600
Accounts Receivable 1,800 Insurance Expense 1,300
Prepaid Insurance 2,000 Land 3,000
Cash 3,200 Wages Expense 1,400
Drawing 1,200 Capital 8,800
Total assets are
a. $10,000
b. $9,800
c. $9,700
d. $8,000
The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.
An asset in business is defined as any form of resources owned by an individual or controlled by a business enterprise.From the given account that appears in the ledger of Monroe Entertainment Co, the assets include the account receivables, Land, and Cash.
Taking the sum of the given assets to get the total asset.
Total assets = account receivables + Land + Cash
Total assets = $ 1,800 + $3,000 + $ 3,200
Total assets = $8,000
Hence the total assets of Monroe Entertainment Co. are $8,000
Learn more on assets here: https://brainly.com/question/23046859
Laws involving positive integral exponents to zero & negative integral exponents.
Paul and anthony were asked to simply a^(2)/a^(-7) . Who do you think is correct in simplifying tge given expression? Justify your answer in 3 to 5 sentences.
Answer:
Both are correctStep-by-step explanation:
Paul used the following identities:
[tex]a^{-b}=1/a^b[/tex][tex]a^b*a^c=a^{b+c}[/tex]Anthony used the identity:
[tex]a^b/a^c= a^{b-c}[/tex]Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Answer:
a = 23.588
Step-by-step explanation:
a^2 = 17 1/3^2 + 16^2
a^2 = 300.4 + 256
a^2 = 556.4
a = 23.588 (I rounded to thousandths but you can round to whatever)
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]Hope you could get an idea from it.
Doubt clarification - use comment section.
PLEASE HELP I will mark you BRAINLIST
Answer:
Angle B: 180-135=45° - supplementary angle rule
Angle C: 180-45-70=65° - sum of interior angles of triangle is 180
Angle D= Angle B : 45° - Alternate interior angles
Angel E=Angle A: 70° - Alternate interior angle.
Angle F: 180-Angle E(70) = 110° - supplementary angle rule
Step-by-step explanation:
f(x)=2x^2-3x+5 and g(x)=x-4,
find (f+g)(x)
Answer:
2x^3-2x^2+x
Step-by-step explanation:
Just trust me!
Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500
The gross income or profit of the company is the difference between the
total revenue and the cost of items produced.
The values for the gross profits are;
(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000Reasons:
The gross profit is given by the equation;
Gross profit = Net revenue - Cost of items sold
The net revenue for 75,000 units = $57.50 × Sales price per unit
∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500
Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead
Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500
The cost of producing 75,00 units per year = $3,562,500
Gross profit = $4,312,500 - $3,562,500 = $750,000
(b) When the number of units produced = 110,000, we have;
Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500
Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)
2. By producing 35,000 units more than it sells, we have;
Cost > Revenue, therefore, the gross profit decreases
Let, X, represent the number of units sold, we have;
The number of units produced = X + 35,000
Which gives;
Cost of production = (X + 35,000) × (10.50 + 8.00 + 12.50) + 1,237,500 =
31·X + 2,322,500
Net revenue = X × 57.50 = 57.50·X
The profit = 57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500
When X = 75,000, we have;
Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000
Therefore;
The gross profit will decrease by 750,000 - (-335,000) = 1,085,000
The gross profit of the company will would decrease by $1,085,000, if it
sells 75,000 units and produces 110,000, which is 35,000 more units than
is sells.
Learn more here:
https://brainly.com/question/21776821
HELP PLS!! no links !!!
Answer:
the correct answer is b
Step-by-step explanation:
Like and give 5 star rating
Multiply or divide. write fractions in simplest form.
-2/7 divided by (-8/21)
please help with this problem i will mark you brainliest :)
Answer:
3/4
Step-by-step explanation:
(-2/7) / (-8/21)
When dividing by a fraction flip it over and multiply
(-2/7) * (-21/8)
Cancel 2 and 8
(-1/7) * (-21/4)
Cancel 7 and 21
(-1/1) * (-3/4)
multiply
3/4
Ophira’s insurance company has notified her that her premiums will increase due to a poor insurance score and a recent claim she filed. The recent claim has increased her premiums by 41%, and her poor insurance score will cost her an additional $25 per month. Ophira currently pays $815 per year for insurance. How much will she pay next year?
$1149.15
$1672.15
$1449.00
$1449.15
Answer:
$1449.15
Step-by-step explanation:
currently paying 815
to pay next year: 41% increase + 25 extra per month
⇒ 141%·815 + 12·25
= 1149.15 + 300
= 1449.15
$32.00for a 14 2/9 km taxi ride. What is the cost per kilometer
[tex]\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14\frac{2}{9}\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14\frac{2}{9}}{1}\implies \cfrac{32}{x}=14\frac{2}{9}\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2\frac{1}{4}}=x[/tex]
What is 1/3÷1/2 math answers?
Answer:
= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Result in decimals: 0.66666666666667
x = mutiply
[tex]=\frac{1}{3} x\frac{2}{1}[/tex]
[tex]\frac{1 x 2}{3 x 1 }[/tex]
= [tex]\frac{2}{3}[/tex]
(Hope this helps can I pls have brainlist (crown)☺️)
Solve. 3(x-6) - 8x = -2 + 5(2x+1)
Answer: x = -1.4
Step-by-step explanation:
Answer: x = -7/5
Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1) 3x+−8x+−18 = 10x+−2+5 −5x+−18 = 10x+3 −5x−18-10x = 10x+3-10x −15x−18+18 = 3+18 −15x/-15=21/-15 x = -7/5
