Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
what are the zeroz of f ? HELPP‼️‼️‼️‼️
Answer:
HEYY OK SO THE ANSWER IS D
Step-by-step explanation:
1/3 AND 3/2
11. Which of the following points is on the
line 3x - 5y=1
A. (1, 2)
B. (2, 1)
C. (3/5, 1)
D. (2,3)
a
Step-by-step explanation:
because it's is very important
The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.
Answer:
the answer would be 49
Step-by-step explanation:
they need to sell 49 to get their money back and make the 400 dollar goal
In an aquarium, there are 15 clownfish and 30 starfish. What is the ratio of starfish to clownfish?
Answer:
1:2
Step-by-step explanation:
1 clownfish for every 2 starfish.
A magazine publisher is informed that 72% of subscribers last year did not renew their subscriptions. This publisher wants to randomly survey 8% of these past subscribers asking the reason why they did not renew their subscriptions. All of last year's subscribers who did not renew their subscriptions are known collectively as what
Answer:
Sampling frame
Explanation:
A sampling frame is the source where the researcher draws his samples from. In other words, a sampling frame is like the population where the researcher gets samples for his investigation. In the above example, we are told the researcher wants to know why the 72% that subscribed last year didn't subscribe this year. He draws a sample of 8% from the 72% that he is trying to study, therefore the 72% are the sampling frame from where he gets his sample.
I need help on this iready question
Answer:
the sun and the dream
Step-by-step explanation:
because in dreams you can see the sun
Prove which of the following side lengths represents a right triangle?
A 3, 5, 8
B 9, 12, 15
C 3, 4, √14
D 1, 2, 3
Help plz
15.3+1h=1.3−1h solve for h plese solve the whole thing not just the answer
Answer:
0.1 (153+10h)
Step-by-step explanation:
factor out 0.1 of 15.3 +10h
Answer:
15.3+1h=1.3−1h
15.3-1.3=-1h-1h
14=-2h
h=14/-2=-7
A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60
Answer:
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of multiple-choice questions
y is the number of short-answer questions.
Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.
This means that:
[tex]2x + 5y = 60[/tex]
The test has 15 questions.
This means that:
[tex]x + y = 15[/tex].
Which means that option C is the correct answer.
Answer:
C. The number of multiple-choice questions plus the number of short-answer questions is 15.
Step-by-step explanation:
x + y = 15
4^3/2-2^3*6+8(-1)^10
Answer:
-24
Step-by-step explanation:
What is the sum of
1
8
+
5
16
+
3
8
?
Answer:
41
Step-by-step explanation:
Answer:
18+516+38=18+554=572
order these number (smallest to largest)
35.6 0.356 35.63 3.65 356.06 356.6
Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6
Step-by-step explanation:
Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy
Answer:
The large sample n = 117.07
Step-by-step explanation:
Step(i):-
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
Step(ii):-
The Marginal error is determined by
M.E = [tex]\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }[/tex]
√n = [tex]\frac{2 X0.4330}{0.08} = 10.825[/tex]
squaring on both sides , we get
n = 117.07
Final answer:-
The large sample n = 117.07
What is the perimeter of the triangle
Answer:
perimeter=sum of all side=2x-5+(-7x+8)+3x=2x-5-7x+8+3x=3-2x
5, 80, 1280, 20480, 327680, ...
Answer:
It's multiplying by 16 every time... so the next answer is 5242880
Step-by-step explanation:
327680 x 16 = 5242880
What percent of 75 is 21?
Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto
Answer: x boletos de adulto
2x boletos de estudiante
x+2x=288
3x=288
x=288/3
x=96
adulto =96
estudiante 2*96=192
96+192=288
Step-by-step explanation: 96 y 192
4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:
38 is what percent of 84 (to the nearest percent)?
Answer:
45.24
Step-by-step explanation:
Percentage Calculator: 38 is what percent of 84? = 45.24.
Answer:
45%
Step-by-step explanation:
84÷100=0.84
38÷0.84=45.24 rounded that is 45%
write 134 in decimals
Answer:
1.34
Step-by-step explanation:
All you need is on the photo
Answer:
a = 2
b = 3
c = -20
Step-by-step explanation:
Simplify 42/56 i am gonna need to show work so i dont fail
Answer:
42/56 = 3/4
Step-by-step explanation:
Answer:
The simplified fraction is [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Simplifying Fractions
A given fraction [tex]\frac{a}{b}[/tex] can be simplified if a and b have common factors, i.e. if they can be evenly divided by at least one equal number.
The fraction is:
[tex]\frac{42}{56}[/tex]
We'll simplify it by 2 since both numbers are even:
[tex]\frac{42}{56}=\frac{21}{28}[/tex]
The next prime common factor is 7. Dividing by 7:
[tex]\frac{42}{56}=\frac{21}{28}=\frac{3}{4}[/tex]
Thus, the simplified fraction is [tex]\frac{3}{4}[/tex]
Solve the inequality
Answer: Hi there, the answer should be the third option v < -8.
If y=-4+11 and 3x+y=9 what is the value of y?
Answer:
y = 7
x = 2/3
Step-by-step explanation:
hope it help
plz follow me
Answer:
2/3
Step-by-step explanation:
We know the value of y, so substitute y into the equation:
3x + (-4 + 11) = 9 --> remove parentheses
3x - 4 + 11 = 9
3x + 7 = 9 --> subtract 7 from 9
3x = 2 --> divide
x = 2/3
A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55
Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Figure A is dilated by a scale factor of 1 to form Figure B.
What is the length of x?
4 inches
Figure A
Figure B
2 inches
16 inches
16 inches
8 inches
Answer:
C. 8 inchesStep-by-step explanation:
Note. The original question is attached.
Solution:
Scale factor is 1/2 and the corresponding side has a length of 16 inches.
The value of x is:
x = 1/2*16 = 8 inchesCorrect option is C
(-4 + 3i)(-12 + 6i)
Simplify expression
Answer:
=30−60i
Step-by-step explanation:
Exercise 1.6.3: Translating mathematical statements in English into logical expressions. info About Consider the following statements in English. Write a logical expression with the same meaning. The domain is the set of all real numbers. (a) There is a number whose cube is equal to 2. (b) The square of every number is at least 0. (c) There is a number that is equal to its square. (d) Every number is less than or equal to its square..
Answer:
a) Эx ∈ R ⊇ x³ = 2
b) ∀x ∈ R, x² ≥ 0
c) Эx ∈ R ⊇ x³ = x
d) ∀x ∈ R, x ≤ x²
Step-by-step explanation:
Given the data in the question;
let us first go through some symbols and their possible meanings;
Э ⇒ there exists
∀ ⇒ for all
∈ ⇒ belongs to or set membership or element of the set
⊇ ⇒ such that
now;
a) There is a number whose cube is equal to 2
let x represent the number; so
Эx ∈ R ⊇ x³ = 2
b) The square of every number is at least 0
x² ≥ 0, ∀x ∈ R
∀x ∈ R, x² ≥ 0
c) There is a number that is equal to its square
Эx ∈ R ⊇ x³ = x
d) Every number is less than or equal to its square.
x ≤ x², ∀x ∈ R
∀x ∈ R, x ≤ x²
What is the area of Rectangle PQRS in the xy-coordinate plane below?
Answer:
Area of Rectangle PQRS = 12
Step-by-step explanation:
P.S - The exact question is -
Given -
P = (2, 2)
Q = (6, 2)
R = (6, 5)
S = (2, 5)
The graph is as follows :
As we know that Area of Rectangle = Length × Breadth
Here Length of Rectangle = PQ
Breadth of Rectangle = PS
⇒ Area of Rectangle PQRS = PQ×PS = 4×3 = 12
Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in
Answer21.98
Step-by-step explanation: