Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.
Step-by-step explanation:
there ya go this was hard
what is the value of 7 in the number 21,780
Answer:
It us in the hundreds place . Hope that helps !
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
Can someone please help will give Brainliest!!!!
Answer:
the first and the seconed and the fourth
A researcher is standing in a corner (point c) of a triangler plot. the angle to point a is S76E the angle to point b is N32E The distance between point c and point a is 210 ft and the distance between point c and point b is 150 ft
find the distance between point a and point b
Answer:
We can use the Law of Cosines to find the distance between points a and b.
Using the angles given, we can find the angle between points a and b:
Angle C = 180 - (76 + 32) = 72 degrees
Next, we can use the Law of Cosines:
c^2 = a^2 + b^2 - 2ab cos(C)
where c is the distance between points a and b, a is the distance between point c and point a (210 ft), b is the distance between point c and point b (150 ft), and C is the angle between points a and b (72 degrees).
Plugging in the values:
c^2 = 210^2 + 150^2 - 2(210)(150)cos(72)
c^2 ≈ 21069.27
Therefore, the distance between points a and b is approximately:
c ≈ 145.2 ft
One sphere has a radius of 3 inches and another sphere has a radius of 6 inches. The volume of the larger sphere is about how many times the volume of the smaller sphere?
Answer:
8
Step-by-step explanation:
First off, we need to recognize that the formula for the volume of a sphere is \(\frac{4}{3} \pi r^3\).
Then, we can plug in our r values one at a time.
The volume for the sphere with a 6-inch radius is about 904.779.
The volume for the sphere with a 3-inch radius is about 113.097.
To find how much greater the larger sphere is, we simply create a ratio between the two numbers: \(\frac{904.779}{113.097}\)
Do the division to find that the volume of the larger sphere is about 8 times the volume of the smaller sphere.
The pet store can keep 14 fish in each tank. To find the number of tanks needed for 338 fish, the store manager solved the problem below.
Answer is multiple 2 by 14
Answer:
I beilieve it would be about 24 tanks
Step-by-step explanation:
Substitute x=-2 into the expression -2x+4 and simplify
Answer:
Step-by-step explanation:
here you go mate
step 1
-2x+4 equation
step 2
-2(-2)+4 substitute -2 for x
2+2+4
answer
8
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 7xex, a = 0
Answer:
The four first terms are:
\(7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}\)
Step-by-step explanation:
The function is:
\(f(x)=7xe^{x}\)
The Taylor series around a is given by:
\(F(x)=\sum^{\infty}_{n=0} \frac{f^{n}(a)(x-a)^{n}}{n!}\)
The first 4 terms will be:
\(F(x)=f(0)+\frac{f^{'}(0)(x)}{1}+\frac{f^{''}(0)(x)^{2}}{2}+\frac{f^{'''}(0)(x)^{3}}{6}\)
Let's find first the derivatives:
\(f'(x)=7(xe^{x}+e^{x})\)
\(f'(0)=7(0e^{0}+e^{0})=7\)
\(f''(x)=7xe^{x}+7e^{x}+7e^{x}=7xe^{x}+14e^{x}\)
\(f''(0)=14\)
\(f'''(0)=21\)
\(f''''(0)=28\)
\(F(x)=0+\frac{7(x)}{1}+\frac{14(x)^{2}}{2}+\frac{21(x)^{3}}{6}+\frac{28(x)^{4}}{24}\)
Therefore, the four first terms are:
\(7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}\)
I hope it helps you!
So the Taylor series for the function informed will be:
\(7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}\)
The function is:
\(f(x)= 7e^xx\)
The Taylor series around a is given by:
\(f(x)= \sum \frac{f^n (a) (x-a)^n }{n!}\)
The first four terms will be:
\(F(x)=f(0)+\frac{f'(0)(x)}{1}+\frac{f''(0)(x)^2}{2} + \frac{f'''(0)(x)^3}{6}\)
Let's find first the derivaties:
\(f'(x)= 7(e^xx+e^x)\\f'(0)= 7\\f''(x)= 7e^xx+14e^xx\\f''(0)=14\\f'''(0)= 21\\f''''(0)= 28\)
\(F(x)= 0+\frac{7x}{1}+\frac{14x^2}{2}+\frac{21x^3}{6}+\frac{28x^4}{24}\)
Therefore, the four first terms are:
\(7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}\)
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please! due in 1 hour! thanks!
The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is a parabola with axis of symmetry $x = -3.$ Find $\frac{b}{a}$.
Answer:
Well $y =ax^2 + bx + c$, = -3. $/$
Step-by-step explanation:
Sharpe Razor Company has total assets of $1,870,000 and current assets of $667,000. It turns over its capital assets one times a year and has $335,000 of total debt. Its return on sales is 5 percent. What is Sharpe’s return on shareholders' equity?
If Its return on sales is 5 percent. Sharpe’s return on shareholders' equity is 8.26%.
How to find the return on shareholders' equity?First step is to find the fixed asset
Fixed asset = $1,870,000 + $667,000
Fixed asset = $2,537,000
Second step is to find the sales
Sales = Total assets × Fixed asset turnover
Sales = $2,537,000 × 1
Sales = $2,537,000
Third step is to find the stockholder equity
Stockholder equity = $1,870,000 - $335,000
Stockholder equity = $1,535,000
Fourth step is to find the net income
Net income = $2,537,000 × 5%
Net income = $126,850
Now let find the return on shareholders' equity
Return on shareholders' equity = Net income / Shareholders' equity
Return on shareholders' equity = $126,850 /$1,535,000
Return on shareholders' equity = 8.26%
Therefore 8.26% is the return on shareholders' equity.
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Please help this is a test grade I have 3 mins left
Greetings! Hope this helps!
Answer
Initial volume = 65
Final volume = 69
Object volume = 4
Have a good day!
_______________
A brainliest would help tons! :D
Answer:
initial= 65
final = 69
object volume = 4
Step-by-step explanation:
at first the water its up to 65 then when the object is placed inside the water goes up 4 so the obeject volume is 4
How many 1/8 foot long wooden pegs can be cut from a plank that is 3/4 foot long?
Answer:
6 pegs can be cut.
Answer:
24
Step-by-step explanation:
!=1
which choices are in the solution set of the equation below check all that apply 4x=30
The choice in the solution set of the equation 4x = 30 is x = 7.5
How to determine the solution set?The equation is given as:
4x = 30
Divide both sides of the equation by 4
4x/4 = 30/4
Evaluate the quotients
x = 7.5
Hence, the choice in the solution set of the equation 4x = 30 is x = 7.5
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Look at the two patterns below: Pattern A: Starts at 5 and follows the rule "add 6" Pattern B: Starts at 5 and follows the rule "add 3" Select the statement that is true. (4 points) a The terms in Pattern A are 2 times the corresponding terms in Pattern B. b The terms in Pattern B are one third the corresponding terms in Pattern A. c The first five terms in Pattern A are 5, 11, 17, 23, and 29. d The first five terms in Pattern B are 0, 5, 8, 11, 14.
The sample space of the given scenario is -
{SV, WV, SC, SV}.
Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes. Probability is a measure of how likely an event is going to happen.
Given is that Sam goes to an ice cream shop. Also -
Sam can choose between a sugar cone or a waffle cone. Then, Sam needs to choose between the flavors of vanilla and chocolate.There will be total (2 x 2) = 4 possible elements in the sample space. We can write the elements as -
Sugar Vanilla
Sugar chocolate
Waffle Vanilla
Waffle chocolate
So, the sample space would be -
{SV, WV, SC, SV}.
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Which description explains how uplift can form mountain ranges?
O A. Wind and water carve rock layers and valleys that leaves some rock layers higher over thousands of years.
O B. Lava from underground volcanoes flows through a surface opening in the crust and cools over hundreds of years.
O c Earthquakes cause large blocks of rocks to fall below the ridges of higher surrounding rock layers over tens of years.
Oo. Forces in the crust push toward each other and cause a section of rock to rise above the surrounding rock over millions of years
Answer: d. Forces in the crust push toward each other and cause a section of rock to rise above the surrounding rock over millions of years
Step-by-step explanation:
Uplift refers to when the earth's crust is forced to rise above the surrounding area due to pressure from underneath (sometimes this pressure can be from above). It is usually the result of forces of compression pulling plates together.
As these plates collide with one another over millions of years, the rock at the collision boundary is forced to rise above the surrounding rock thereby resulting in an uplift.
Help i have been stuck on this question!
Answer:
its b i have the quiz
Step-by-step explanation:100 % sure
When RS.1050 is divided between shuvam and Eliza in the ratio of 3:4, how much will Eliza get?
Answer:
Eliza gets 600 RS
Step-by-step explanation:
3:4 is the ratio, so divide 1050 into 7 parts. Each part is than 150 RS
Eliza has 4 of the 7 parts, so 150×4=600 RS
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
1. Este diagrama representa un número en base diez. El rectángulo grande representa una unidad que es 10 veces el valor del cuadrado. El cuadrado representa una unidad que es 10 veces el valor del rectángulo pequeño. Este es un diagrama que muestra el número dividido en 5 grupos iguales. a. Si un rectángulo grande representa 1,000, ¿qué problema de división mostraba el segundo diagrama? ¿Cuál es la respuesta? b. Si un rectángulo grande representa 100, ¿qué problema de división mostraba el segundo diagrama? ¿Cuál es la respuesta? c. Si un rectángulo grande representa 10,2qué problema de división mostraba el segundo diagrama? ¿Cuál es la respuesta?
anejekwppwkwnwlw[owneeh2i1hvwbsjsksosw[wowi18`71611ojsbsbsb
Simplify the expression using the given values
Answer:
\(y + 1 - x \: when \: x = 4 \: and \: y = 5 \\ \\ y + 1 - x \\ \\ = 5 + 1 - 4 \\ \\ =6 - 4 \\ \\ = 2\)
= y + 1 - x
= 5 + 1 - 4
= 6 - 4
= 2
~ nightmare 5474~
7. Alexis has 145 stickers. She wants to divide the stickers evenly among 5 of her friends. How
many stickers will each friend get?
Write your answer in the box.
stickers.
8. There are 2,472 seats in the school auditorium. The seats are divided into 6 equal sections.
How many seats are in each section? Write your answer in the box.
seats
Explain how you found your answer. Show your work.
Answer: 7: 29 stickers for each friend
8: 412 seats in each section
Step-by-step explanation:
We will have to divide 145 (stickers) by 5 (friends) to get 29
We will have to divide 2472 by 6 to get 412
7.) 145 ÷ 5 = 29 → Each friend will get 29 stickers
8.) 2,472 ÷ 6 = 412 → There are 412 seats in each second.
I divided for both problems using the long division method and multiplied which is the inverse operation, to check my work.
Case Study:
ABC factory produces 24,000 units. The cost sheet gives the following information:
Direct Materials Rs. 1,20,000
Direct Labour Rs. 84,000
Variable overheads Rs. 48,000
Semi variable overheads Rs. 28,000
Fixed overheads Rs. 80,000
Total Cost
Rs. 3,60,000
Presently the product is sold at Rs. 20 per unit.
The management proposes to increase production by 3,000 units for sales in the foreign market. It is estimated that semi-variable overheads wil
1,000. But the product will be sold at Rs. 14 per unit in the foreign market. However, no additional capital expenditure will be incurred.
O
Answer:
Current Cost = Rs 360000
24000 units sold at rs 20 per unit
Turnover = 24000 * 20 = Rs 480000
Present Profit = 480000 - 360000 = Rs 120000
Profit per unit = 120000/24000 = 5 rs per unit
cost increased for increasing 3000 Production
Direct Material cost increase = (120000/24000) * 3000 = Rs 15000
Direct Labour cost increase = (84000/24000) * 3000 = Rs 10500
Variable overhead increase = (48000/24000) * 3000 = Rs 6000
Semi variable cost increased = Rs 1000
Cost Increased = 15000 + 10500 + 6000 + 1000 = 32500
Price per unit = Rs 14
Turnover from 3000 units = 14 * 3000 = Rs 42000
Proposed Profit from 3000 units = 42000 -32500 = Rs 9500
Proposed Profit per unit = 9500/3000 = Rs 3.17
Decision Depends upon management as Profit is there in a new market but per unit profit is lesser than current profit
Step-by-step explanation:
Got the answer from amitnrw
Estimate the square root of - 27 to the nearest tenth.
A -5.2
B -5.8
C 5.2
D 5.8
Need answer asap
Answer:
C (5.2)
Step-by-step explanation:
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.find the vertex of the parabola. tell whether the vertex is a maximum or minimum
The vertex of the prabola whose equation is
\(f(x)=ax^2+bx+c\)is (h, k), where
\(\begin{gathered} h=\frac{-b}{2a} \\ k=f(h) \end{gathered}\)The vertex is minimum if a has positive value
The vertex is maximum if a has negative value
Since the given equation is
\(f(x)=-4x^2+24x+3\)a = -4
b = 24
c = 3
Let us find h
\(\begin{gathered} h=\frac{-24}{2(-4)} \\ h=\frac{-24}{-8} \\ h=3 \end{gathered}\)Let us use h to find k
\(\begin{gathered} k=f(h)=f(3) \\ k=-4(3)^2+24(3)+3 \\ k=-36+72+3 \\ k=39 \end{gathered}\)The vertex of the parabola is (3, 39)
Since a = -4
That means a is negative, then
The vertex is maximum
A school has 55 students . If 10 of the students are boys , what is the ratio of girls to boys ?
Solve the inequality and graph the solution on the line provided. 6x-6<-30
The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.
To solve the inequality 6x - 6 < -30, we can follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate the variable:
6x - 6 + 6 < -30 + 6
6x < -24
Step 2: Divide both sides of the inequality by 6 to solve for x:
(6x)/6 < (-24)/6
x < -4
The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.
To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.
On the number line, mark a point at -4 with a closed circle:
<--------●-----------------
Then, shade the region to the left of -4:
<--------●================
The shaded region represents the solution to the inequality x < -4.
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what is the approximate value of √42, to the nearest whole number?
A snowmobile traveled 32 miles in 2 1/3 hours.
The distance is the product of the rate and the time.
To the nearest tenth, what was the average speed of the snowmobile?
Answer:
13.7 mph
Step-by-step explanation:
• d = st
Given:
d = 32 milest = 2 1/3 hr = 7/3 hrFind the rate s:
s = d/ts = 32-7/3 = 32 x 3/7 = 96/7 = 13.7 mph (rounded)Helpppppppppppppppppppp
Answer:
14
Step-by-step explanation:
i think cos x*2 = y