Answer:
I believe it maybe 300 cm³
If the cost, C(x), for manufacturing x units of a certain product is given by
C(x) = x2 – 15x + 34
find the number of units manufactured at a cost of $8350.
Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing x units of a certain product is:
[tex]C(x)=x^2-15x+34[/tex]
We want to find the number of units manufactured at a cost of $8350. Therefore:
[tex]8350=x^2-15x+34[/tex]
Subtract 8350 from both sides:
[tex]x^2-15x-8316=0[/tex]
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -15, and c = -8316. Thus:
[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]
Therefore, our solutions are:
[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.
Which of the following properties justifies that: "If XU = UV and UV PQ, then XU = PQ"?
a. reflexive b. symmetric
c. transitive d. equivalence
Answer:
Transitive property
Step-by-step explanation:
Given
[tex]XU = UV[/tex]
[tex]UV = PQ[/tex]
Then:
[tex]XU = PQ[/tex]
Required
Determine the property
The property is transitive.
It states that:
Given that:
[tex]a= b[/tex] and [tex]b = c[/tex]
Then:
[tex]a = c[/tex]
When this is applied here, we have:
Given that:
[tex]XU = UV[/tex] and [tex]UV = PQ[/tex]
Then:
[tex]XU = PQ[/tex]
A likely amount of vanilla in a batch of cookies is 1/2 fluid Ounces. True or False?
I need it fast if you can!
True
Sorry if I'm wrong! I honestly think its true, a fluid ounce is pretty big... 2 tablespoons, so if you half it its 1 tablespoon, which is enough for cookies
According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per person during . A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers years and older in Milwaukee will be taken, and the sample mean beer and cider consumption will be used to test the following null and alternative hypotheses: : : a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee
Complete question :
According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:
H, :μ< 26.9
Ha : μ> 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?
b. What is the Type I error in this situation? What are the consequences of making this error?
c. What is the Type II error in this situation? What are the consequences of making this error?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the null and alternative hypothesis :
H0 :μ< 26.9
Ha : μ> 26.9
Assume the Null hypothesis is rejected ;
We conclude that there is significant evidence that the mean consumption of beer and cider is higher in the city (more than 26.9 gallons).
B.) Type 1 error is committed when the Null hypothesis is incorrectly rejected.
C.) Type 2 error is committed when we fail to reject a false null hypothesis. In this scenario, we fail to conclude that the average consumption of beer and cider is more than 26.9 gallons per person.
what is the range of 17, 12, 28, 21, 14, 74, 32, 14, 25, 23
Answer:
it's 22 I hope you got it right if not then i'm sorry
Answer:
62
Step-by-step explanation:
i think the answer is 4/5
Answer:
yeah same it really could be
An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are shown below.
y = x + 12
y = −x + 17
Which of the following statements is a correct step to find x and y? (4 points)
a
Multiply the equations to eliminate y.
b
Write the points where the graphs of the equations intersect the x-axis.
c
Write the points where the graphs of the equations intersect the y-axis.
d
Add the equations to eliminate x.
Answer:
d because then you can solve for y then use your answer to find x
Answer:
the answer is D even tho you asked a month ago i figured i can still answer
Step-by-step explanation:
1
13. Mark has a board that is 12 feet long. He
cuts the board into 8 pieces that are the
same length. How long is each piece?
pany. Image Credits: (b) Cjupit
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
(2 * 15x) + (2 * 10)
Answer:
[tex](2 \times 15x) + (2 \times 10) \\ = 30x + 20 \\ = 10(3x + 2)[/tex]
Answer:
30x+20
Step-by-step explanation:
(2*15x) is 30x
(2*10) is 20
30x+20 can't be further simplified
Dominic is going to invest $1,800 and leave it in an account for 17 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Dominic to end up with $4,700?
Answer: 5.8%
Step-by-step explanation: got it right lol
Find the volume of the cube below.
If x =10 what is x over 2 plus 3x ??
Answer:
35
Step-by-step explanation:
Substitute x in the equation for 10
x/2 = 10/2
+ 3x = + 3(10)
10/2 = 5
+ 3(10) = + 30
5 + 30 = 35
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For
one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 120 milligrams of Medication A with 180
milligrams of Medication B. However this week, the doctor said to only use 165 milligrams of Medication B.
How many milligrams of Medication A should be mixed this week?
Answer:
Hi ^^
-------------------------
Solution:
Step one- Set up a ratio:
· Originally the ratio was: 110:143, make that equivalent to x:117
--> 110/143 = x/117 <-- notice this is A/B = A/B
--> to solve for x, just multiply by 117
x = 110 * 117 / 143 = 90 mg
----------------------------------------------------------------------------------------
·You should use 90 mg of medication A
oki baiiii ^^
Plz help me well mark brainliest if correct!
Answer:
diameter it goes throught the circle and as end points across
a theater has 32 rows of seats. if there are 15 seats in the first row, 19 seats in the 2nd row, 23 in the 3rd row, and so on, how many seats total are there in all
Answer:
2464
Step-by-step explanation:
I added it up :)
A family of 3 children 2 adults visited a heath club. The club charges $y an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs Best models the situation
Answer:
Step-by-step explanation:y<30 and x<15
Help please, due soon!
Step-by-step explanation:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
given r = 10 in
h = 30 in
Volume of Cylinder =
[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]
Please take note in this case choose the answer closest to the answer calculated.
Answer:
9,420 in^3
Step-by-step explanation:
V = π r^2 h
V = 3.14 · 10^2 · 30
V = 3.14 · 100 · 30
V = 3.14 · 3,000
V ≈ 9,420
Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
5
8
∘
58
∘
x
∘
x
∘
6
6
6
6
5.8
5.8
Answer:
10
Step-by-step explanation:
he question lacks appropriate diagram. Find the diagram attached below.
From the isosceles triangle shown, we can see that it is made up of two right angled triangle.
Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;
From the formula:
Hyp² = Opp²+Adj²
Adj² = Hyp² - Opp²
The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.
Given Hypotenuse = √74
Opposite = 7
Adj² = Hyp²-Opp²
Adj² = (√74)² - 7²
Adj² = 74-49
Adj² = 25
Adj = √25
Adj = 5
The adjacent of both sides are equal
x = 2 × Adjacent side
x = 2(5)
x = 10
CAN YOU GUYS HELP ME FOR #10
Answer:
31
Step-by-step explanation:
A pair of sunglasses is priced $15. If they are on sale for 30% off, what is the sale price?
Answer:
12 dollars
Step-by-step explanation:
This means the cost of the item to you is $12. You will pay $12 for a item with original price of $15 when discounted 20%. In this example, if you buy an item at $15 with 20% discount, you will pay 15 - 3 = 12 dollars.
Answer:
$4.50
Step-by-step explanation:
We know that there are sunglasses has a price of fifteen dollars.
We also know that said glasses are on sale for 30% off.
We need to find the sale price of these sunglasses.
When you need to find a certain sale price for an item, you need to multiply the original price by the percent it's on sale for.
[tex]OGprice * percent -off[/tex]
[tex]15*30[/tex]%
[tex]4.5[/tex]
Therefore, the sale price is 4 dollars and 50 cents.
Solve for x
X^2 - y = z
Answer:
± sqrt(z+y)
Step-by-step explanation:
x^2-y=z
for x
x^2=z+y
taking sqrt on both sides
x= ± sqrt(z+y)
Olive is allowed to bring one friend on a
She does not want to play favorites.
trip with her.
What is NOT a random method of choosing a friend?
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Which expression is equivalent to 7(a+2) when a= 6?
O 7(6)
O 9(6)
O 7(6)+2
O 7(6)+14
which table has a constant of proportionality between y and x of 1/5? (from khan academy)
A.x-y
2-4/5
7-14/5
12-24/5
B.x-y
8-8/5
9-9/5
10-2
C.x-y
3-16/5
5-26/5
7-36/5
Answer:
C
Step-by-step explanation:
Solve for each choice until you get the answer 1/5.
A.
2 - 4/5
10/5 - 4/5 = 6/5; this is not 1/5
B
8 - 8/5
40/5 - 8/5 = 32/5; this is not 1/5
C
3 - 16/5
15/5 - 16/5 = -1/5
5 - 26/5
25/5 - 26/5 = -1/5
7 - 36/5
35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than 2
Answer:
4/6 or 2/3. Depends if your teacher wants it reduced.
Step-by-step explanation:
Each number has a 1 out of 6 chance to be rolled. so it's 1/6 for rolling a 3, 1/6 for rolling a 4, 1/6 for rolling a 5, and 1/6 for rolling a 6. 4 x 1/6 = 4/6
Please help solve, 7th grade work (see image)
You have 3/4 cup of cornmeal in your cupboard. A recipe for muffins calls for 1/5 cup of cornmeal. How much cornmeal would you have left if you made the muffins?
Answer:
11/20
Step-by-step explanation:
3/4 - 1/5 = 15/20 - 4/20 = 11/20
question in screenshot
use the 3 digits 5, 3, and 2 only once in each number how many 3 digit numbers can you make?
Answer:
532
523
325
352
235
253
so you can make 6
In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Step-by-step explanation:
The probability for baseball is unfortunately unlikely