Answer:
8 hours
Step-by-step explanation:
−0.75x + 18 = -x+20
0.25x = 2
x = 8
The roots of f(x) = 2x^2
+ 8x + 13 are
and
The vertex of the parabola is
at
Answer:
( 2 , − 5 )
Step-by-step explanation:
Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcake she sells. A) Write and equation that can be used to solve for the total amount, t, Ella earns for working a shift in the park and selling c cupcakes. Ella works a shift and earns $38. B. Use the equation you wrote for part A to solve for the number of cupcakes Ella sold during her shift. Show your work. In the summer, the average number of cupcakes sold during a weekday shift is 36 and the average number of cupcakes sold during a weekend shift is 62. Ella has been given the choice to work a regular schedule of 3 weekday shifts each week or 2 weekend shifts each week. C. Explain which schedule will allow Ella to earn $300 more quickly. Support your answer with mathematical evidence, and state which shift Ella should choose.
9514 1404 393
Answer:
A) t = 0.25c +25
B) c = 52
C) 3 weekday shifts
Step-by-step explanation:
A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...
0.25c
In addition, she is paid $25, so her total amount she is paid is ...
t = 0.25c +25
__
B. In order to earn $38, the number of cupcakes sold must be ...
38 = 0.25c +25
13 = 0.25c . . . . . . subtract 25
52 = c . . . . . . . . . multiply by 4
Ella sold 52 cupcakes to earn $38.
__
C. On one of the average weekdays, Ella could be expected to earn ...
t = 0.25(36) +25 = 34
Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)
On one of the average weekend shifts, Ella could be expected to earn ...
t = 0.25(62) +25 = 40.50
Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)
Ella would earn $300 more quickly by working weekday shifts.
Given the coordinates (6, 3) and (-8, 1), the midpoint is:
0 (1, -2).
0 (-1,2).
O (-2, 4).
O (2,-4).
A single die is rolled. Find the odds in favor of rolling a number greater than 3.
Answer:
6:3
Step-by-step explanation:
Answer and Step-by-step explanation:
3 of the options are not to be chosen, and 3 are wanted.
That means that anything above 3 (so, 4, 5, or 6) are the numbers that are wanted, while the numbers 1, 2, and 3 are not wanted.
We have 6 total options.
The ration would be:
3:6, or 3 to 6. This reduces down to 1:2, or 1 to 2.
That means that there is a 50% chance of getting 4, 5, or 6.
#teamtrees #PAW (Plant And Water)
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
i belive it is answer B
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
im not sure
Mary takes out a loan for $ 5 , 000 at a simple interest rate of 3.5 % to be paid back in 36 monthly installments. What is the amount of her monthly payments?
Cooper weights 20 pounds. When he is an adult dog, he will weigh about 315% of his current weight. Write 315% as a fraction and a decimal.
Answer:
3.15 and 3 3/20
Step-by-step explanation:
315 ÷ 100 = 3.15
3.15 = 3 3/20
Please mark me brainlest
The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 745 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.
Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use μboys − μgirls. Round your test statistic to two decimal places and your P-value to four decimal places.)
Answer:
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
The value of p is 0 .00233. The result is significant at p < 0.10.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μboys − μgirls > 0
against the claim
Ha: μboys − μgirls ≤ 0
2) The significance level is set at 0.01
3) The critical region is z ≤ ± 1.28
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 397/768= 0.5169 and p2= 331/745=0.4429
pc = 397+331/768+745
pc= 0.4811
qc= 1-pc= 1-0.4811=0.5188
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+ 1/745)
z= 2.82
6) Conclusion
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
7)
The value of p is 0 .00233. The result is significant at p < 0.10.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
>C
C С
B
Angles are not drawn to scale.
Enter
Answer:
Measure?
Step-by-step explanation:
Could u like explains more pls?
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
what is It is believed that the early settlers of the Pacific Islands originally migrated from __________.
A.
Europe
B.
Australia
C.
Southeast Asia
D.
Central Asia
Please select the best answer from the choices provided
ill give brainliest
Answer:South Asia-C
Step-by-step explanation:
gaged
Answer:
C, Southeast Asia
what is the common denominator for 3/5 and
what is the common dneominter for 5/8
Answer:
The common denominator would be 40
Step-by-step explanation:
Which is the value of this expression when P= -2
and q=-1
((p^2)(q^-3))^-2•((p^-3)(q^5))^-2
-4
-1/16
1/16
4
Answer:
B -1/16
Step-by-step explanation:
Which graph shows exponential growth?
Answer:
VTFV
Step-by-step explanation:
The perimeter of a rectangle is 58. The length is 4 more than
4 times the width. Find the width and length.
Answer:
Step-by-step explanation:
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. (a) Draw several diagrams to illustrate the situation, some short boxes with large bases and some tall boxes with small bases. Find the volume of each configuration. Does it appear that there is a maximum volume
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
A person places $3090 in an investment account earning an annual rate of 3%,
compounded continuously. Using the formula V = Pet, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 11 years.
Answer:
$4298.10
Step-by-step explanation:
Using the relation :
V = Pe^rt
P = 3090 ; r = 3% = 0.03 ; t = 11 years
V = 3090 * e^(0.03 * 11)
V = 3090 * e^0.33
V = 3090 * 1.3909681
V = 4298.0915
Amount in the investment after 11 years will be $4298.10
the marked price of an article is 35% more than that of cost price.If the article is sold allowing 15% discount,profit becimes Rs.200.Find the MP and Cp of the article.
Answer:
B
Step-by-step explanation:
Somebody please help!!!
I believe it's 2/3
Hope that helps
Pythagorean theorem
a = 4 b = ? c = 10
2. Jim has $57 in her bank account. He wants to buy a video game that costs $69. Should
Jim buy the video: Yes or No. Explain your reasoning using complete sentences.
Answer:
Well I would say John shouldn’t buy any vidoe games becuase first he can’t afford it and no one’s gonna borrow 12 dollars for a video gamer. Plus he can buy it when he has enough.
The diameter of a circle is 4 m. Find the circumference to the nearest tenth.
Answer :
[tex] \bf \large 10 \: m[/tex]
Step by step explanation :
Given that :The diameter of a circle is 4 m.to find :Find the circumference to the nearest tenth.formulas used :circumference = π × Diameterwhere,
π = 22/7Diameter = 4 mexplanation :⟼ c = πd
⟼ c = 22/7 × 4 m
⟼ c = 88/7 m
⟼ c = 12•57 m.
Round to the nearest tenth :⟼ c = 12•57 m
⟼ c = 10 m.
∴ circle circumference is 10 m.
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.
Answer: 47.5 ft
Step-by-step explanation:
since this is a right triangle, you can use trig to solve for x:
cos 22° = [tex]\frac{44}{x}[/tex] (cos = adjacent/hypotenuse)
x * cos 22° = 44
x = [tex]\frac{44}{cos 22}[/tex] (plug into calc)
x = 47.5 ft
How many solutions does the system of linear equations represented in the graph below have?
A
No Solution
B
One Solution
C
Infinitely many solutions
D
None of the above
Answer:
No solution
Step-by-step explanation:
They must intersect to have one solution. For infinite many solutions, the lines would be on top of each other.
Prove algebraically what type of function this is (even, odd, or neither). f(x) = −2x^4 − 12x^2
Show work Please
Answer:
Even
Step-by-step explanation:
[tex]f[/tex] is even because [tex]f(x)=f(-x)[/tex].
what is the present perfect of everybody
Answer:
Present Perfect Tense Examples
Has lived: She has lived here all her life.
Have written: They have written three letters already.
Have worked: I have worked here since I graduated school.
Has done: He has finished his homework.
Have been: We have been to Canada.
Has forgotten: She has forgotten her folder.
Step-by-step explanation:
Given f(x) = 9x + 1 and g(x) = x3, choose
the expression for (fºg)(x).
orange
Answer This is the answer in thie screenshot ok
Find the distance between the given points. Round to the nearest tenth. 5,-2 and 1,2.
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
Use the distance equation
[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)
[tex]\sqrt{(5-1)^2+((-2)-2)^2}[/tex]
[tex]\sqrt{16+16}[/tex]
[tex]4\sqrt{2}[/tex]
Hope that helps :)
3) What measurement is
closest to the volume of
the cone in cubic
kilometers?
7 km
14 km
781.3 km
O 435.1 km
O 562.4 km
718.4 km
Answer:
A) 781.3
Step-by-step explanation:
To find the volume of the cone, you must first find the radius and height of the cone. Which is 7km (radius) and 14km(height).
Next use the formula (Which is in the picture since it's too hard to type out on here)
I also would of explained it but I found it easier just to type it out (In the file attached below)
Finally the answer is 781.3 km
Hope this helps
Solve the equation 4(c-3) = 8
What are the two ways to start solving this equation? Choose BOTH ways.
1. Use the distributive property to get 4c- 12 = 8
2. Use the distributive property to get 4c - 3 = 8
3. Add 3 to both sides to get 4c = 11
4. Divide both sides by 4 to get c - 3 = 2
5. Subtract 4 from both sides to get c - 3 = 4
Answer:
Use the distributive property to get 4c-12=8
Divide both sides by 4 to get c-3=2
Step-by-step explanation:
Is figure B a scale copy of Figure A ?? Yes Or No
Answer:
No
Step-by-step explanation:
Figure A has an horizontal length of 2 units and a vertical length of 2 units.
Figure B has an horizontal length of 9 units and a vertical length of 7 units
Thus:
Horizontal length of Figure B / Horizontal length of figure A = 9/2
Horizontal length of Figure B / Horizontal Length of Figure A = 7/2
Thus,
9/2 ≠ 7/2
This implies that their corresponding lengths are not corresponding to each other. Therefore, Figure B is not a scale copy of Figure A.