Answer:
AC=10
Step-by-step explanation:
You have several options to add to your brand new car: leather seats, heated seats, sunroof, tinted windows, and back up camera. How many different ways can the car be built?
Answer:
The number of different ways the car can be built is 31 different ways
Step-by-step explanation:
The given options are'
1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera
Therefore, the number of different ways the car can be built, n, is given as follows;
n = ₅C₁ + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅
n = 5 + 10 + 10 + 5 + 1 = 31 different ways
The number of different ways the car can be built = n = 31 different ways
Find the area of the shape below
Answer:
there is nothing there
The total cost of an order of personalized invitations from a company includes the cost of each invitation, plus a one-time design fee. The cost of each invitation is the same regardless of how many invitations are ordered.
The invitation company provides the following examples to customers in order to estimate the total cost of an order:
50 invitations $298.50
500 invitations $2049
The total cost of an order is $900 if 50 invitations cost is $298.50
To calculate the cost of an order of personalized invitations, you would need to know the cost of each invitation and the one-time design fee.
Let calculate the cost of each invitation and the one-time design fee as follows:
50 Invitations: $298.50 / 50 = $5.97 per invitation
500 Invitations: $2049 / 500 = $4.098 per invitation
Design Fee: ($2049 - ($5.97 × 50)) / 500
= $3.90 one-time design fee
If you wanted to order 150 personalized invitations, the cost would be:
150 Invitations x $5.97 per invitation = $896.50
Plus one-time design fee of $3.90 = $890.40
Total cost = $896.50 + $3.90 = $900.
Hence, the total cost of an order is $900 if 50 invitations cost $298.50
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You Work at a carnival for 3.5 hours you earn 29.75 how much do you earn per hour
Answer:
8.5
Step-by-step explanation:
Divide
29.75 by 3.5 .
8.5
The length of a rectangular frame is 3 cm more than the width. The area inside the frame is 70 square cm. Find the width of the frame.
Answer:
7cm
.
Step-by-step explanation:
Area = Length (L) * width (W)
L = 3 + w
Area = 70cm²
70 = (3 + w) * w
70 = 3w + w²
w² + 3w - 70 = 0
w² + 10w - 7w - 70 = 0
w(w + 10) - 7(w + 10) = 0
w + 10 = 0
w - 7 = 0
w = - 10 or w = 7
Widyh cannot be negative
Hence, width = 7
let f(x) = 1 3x . compute lim h→0 f(5 + h) − f(5) h .
For a function, f(x) = 1 + 3x , the computed value of lim h→0 [f(5 + h) − f(5)]/h is equals to the three.
In Mathematics, the limit of a function is a value of the function as the input of the function tries approaches some number. Function limits are used to define continuity, integrals, and derivatives. Mathematically, let f(x) be a function and L be limit of function, f(x) at x a exist if and only if lim f(x) = lim f(x) = L
x→a⁻ x→a⁺
We have, f(x) = 1+3x and will compute lim h→0 [f(5 + h) − f(5)]/h . Firstly, determine the value of function at x = 5 , x = 5+h.
So, f(5) = 1+ 3×5 = 16 and f(5+ h) = 1+3(5+h)
= 16+ 3h
Now, lim [ f(5 + h) − f(5)]/ h
h→0
= lim [(16 + 3h) − (16) ]/ h
h→0
= lim [ 16 + 3h - 16 ]/ h
h→0
= lim [ 3h/ h ] = lim [ 3h¹h⁻¹ ]
h→0 h→0
= lim [ 3h¹⁻¹ ] = lim [ 3h⁰ ]
h→0 h→0
= lim 3 (1) = 3 ( since, x⁰ = 1 )
h→0
Hence, the required limit value is 3.
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The area of a square field of side 13 m is
Answer:
169 sq m
Step-by-step explanation:
= 13 × 13 = 169 sq m.
- 3x + 9 - 4 = x + 3 + 2x
✩ Answer:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
\(\bold{Hello!}\\\bold{Your~answer~is~below!}\)
✩ Step-by-step explanation:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✺ Subtract \(4\) from \(9\) to get \(5\):
\(-3x+5=x+3+2x\)✺ Combine \(x\) and \(2x\) to get \(3x\):
\(-3x+5=3x+3\)✺ Subtract \(3x\) from both sides:
\(-3x+5-3x=3\)✺ Combine \(-3x\) and \(-3x\) to get \(-6x\):
\(-6x+5=3\)✺ Subtract \(5\) from both sides:
\(-6x=3-5\)✺ Subtract \(5\) from \(3\) to get \(-2\):
\(-6x=-2\)✺ Divide both sides by \(-6\):
\(x=\frac{-2}{-6}\)✺ Reduce the fraction \(\frac{-2}{-6}\) to lowest terms by canceling out the common factor, \(-2\):
\(x=\frac{1}{3}\)
-OR-
✺ Reduce the fraction \(\frac{-2}{-6}\) to lowest terms by dividing the numerator and denominator:
\(x=0.333333333\) (This is a repeating decimal.)✩ Answer:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✺ Decimal Form: \(x=\frac{1}{3}\)
✺ Fraction Form: \(x=0.333333333\)
\(Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex\)
"ටᆼට"
Please help. Please answer with explanation. Show all work. I will give brainiest.
What is m∠BXF and m∠CXE.
Answer:
>BXF= 40+90=130
>CXE= 180 _28 = 152
For each value of y, determine whether it is a solution to 7= y ÷ 3.
the answer is yes, 21
Step-by-step explanation:
you would multiply 7 and 3 to get y
Adrian purchased a new car in 2007 for $27, 100. The value of the car has been
depreciating exponentially at a constant rate. If the value of the car was $12, 300 in
the year 2013, then what would be the predicted value of the car in the year 2023, to
the nearest dollar?
Answer:
2344 .
Step-by-step explanation:
n/a
Is the inequality true or false?
8 + (2 x 4) ≥ 2^4
(^ - means exponent)
1. a certain college wants to estimate the amount of time students, who live off campus, spend commuting to classes each week. a random sample of 45 off-campus students is surveyed. a) identify the population and sample for this study. b) what data is being collected? what type of data is this? c) what type of study is this?
The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.
a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.
b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.
c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.
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S=2d/t solve for d pls help he answer this
Answer:
d= St/2
Step-by-step explanation:
by simplification the RHS and LHS
Sharika can finish the work in 6 days and Palkey can do the same work in 8 days. They both worked together for for 2 days then Palkey left the work. How many days will Sharika take to finish the remainig work.
Answer:
Sharika needs 2.5 days to finish the remaining work
Step-by-step explanation:
Sharika can do a work in 6 days palkey can do it in 8 days
Then the amount of work sharika can do in 1 day = 1/6
And the amount of work palkey can do in 1 day = 1/8
The amount of work both of them can do together in 1 day = 1/6 + 1/8
= 7/24
The amount of work both of them can do together in 2 day = (2× 7/24)
= 7/12
Since Palkey left the work,the amount of
work remaining for Sharika to do alone = (1 - 7/12 )
= 5/12
The number of days Sharika take to finish the remainig work. = (5/12 ÷ 1/6 )
= 5/2 days
Therefore, Sharika needs 2.5 days to finish the remaining work.
(4x^2+3x −5)+(x^2 −7x+10)
Answer:
\(5x^{2} -4x +5\)
Step-by-step explanation:
How many pizzas could you buy with $72.00?
Answer:
Hopefully 6-7
Step-by-step explanation:
if you spending that much on pizza yo hi as better stay home and deleivered it
Does someone mind helping me with this? Thank you!
It will take 22 seconds for the thermometer to hit the ground.
To determine the time it takes for the thermometer to hit the ground, we need to find the value of t when the height, h(t), becomes zero. We can use the given equation h(t) = -16\(t^2\) + initial height and set it equal to zero.
Given:
h(t) = -16\(t^2\) + initial height
Initial height = 7,744 ft
Setting h(t) to zero:
0 = -16\(t^2\) + 7,744
Now we can solve this quadratic equation for t. Rearranging the equation, we get:
16\(t^2\) = 7,744
Dividing both sides of the equation by 16:
\(t^2\)= 7,744/16
\(t^2\) = 484
Taking the square root of both sides to solve for t:
t = ±\(\sqrt{484}\)
t can be positive or negative, but since time cannot be negative in this context, we take the positive square root:
t = \(\sqrt{484}\)
t = 22
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the temperature in sudbury was 4c. what was the temperature after a rise of 5c followed by a fall of 10c
By the use of arithmethic, the final temperature in Sudbury is - 1 °C.
What is the final temperature of Sudbury?
In this problem we know that initial temperature and two consecutive changes in time. A temperature rise represents a positive change, whereas a temperature fall represents a negative change, then the final temperature is equal to sum of the initial temperature and its two changes:
T = T' + ΔT₁ + ΔT₂
T = 4 °C + 5 °C - 10 °C
T = 9 °C - 10 °C
T = - 1 °C
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If it wouldn’t bother someone would someone also mind giving me the steps to get the answer?
Answer:
SA = 10,800 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 40
w = 60
h = 30
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 60(40) + 30(40) + 30(60) )
SA = 2 ( 2400 + 1200 + 1800 )
SA = 2 ( 5400 )
SA = 10,800 ft²
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HELP ASAP, WILL GIVE BRIANLIEST, 100 POINTS,
A donut shop wanted to determine the best price to sell its donuts. The manager of the shop gathered data from several donut shops in the city for the total cost, y, for different amounts of donuts, x. He created the following scatter plot with a line of fit.
scatter plot titled donut pricing with the x axis labeled number of donuts and the y axis labeled total cost in dollars, with points at 1 comma 1, 2 comma 2 and a half, 5 comma 5, 6 comma 5 and a half, 3 comma 2, 7 comma 7, 4 comma 4, 8 comma 5 and a half, 12 comma 10, 10 comma 9, 9 comma 9, and 8 comma 7, with a line passing through the coordinates 3 comma 3 and 8 comma 7
Find the slope of the line of fit and explain its meaning for the real-world situation.
The slope is 3 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.60.
The slope is 4 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.80.
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.
Answer:
The slope of the line of fit and its meaning for the real-world situation include the following: C. The slope is 3/5, which means for each additional donut sold, the shop is predicted to earn $0.60.
What is the point-slope form?
Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.
x and y are the points.
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (7, 12).
Points on y-axis = (5, 8).
At data point (7, 12), a linear equation of this line in slope-intercept can be calculated by using the point-slope form form as follows:
y - 12 = (8 - 5)/(12 - 7)(x - 7)
y - 12 = 3/5(x - 7)
y = 3x/5 - 4.2 + 12
y = 3x/5 + 7.80
Mark as BRIANLIEST pls
9. How many 6 inch strands of string
can be cut from a length of string
that is 8 yards long?
Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18. How much money did Josh have left after he purchased his lunch? *
Answer:
3.27
Step-by-step explanation:
the money he spent in total is 9.53 subtract it to 12.80
The amount of money left after he purchased his lunch is $3.27.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18.
The amount of money left will be calculated as,
Money left = 12.80 - [(2 x 2.75 ) + 1.85 + 2.18]
Money left = 12.80 - 9.53
Money left = $3.27
Therefore, the amount of money left after he purchased his lunch is $3.27.
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In a bag contains 310 coins worth $40.00. There were three types of coins:nickels, dimes and quarters. If the bag contained the twice as many dimes as nickels, how many of each type of coin was in the bag? A. Nickels: 72; Dimes: 151; Quarters: 86 B. Nickels: 75; Dimes: 150; Quarters: 85 C. Nickels: 76; Dimes: 151; Quarters: 83 D.Nickels: 78; Dimes: 147; Quarters: 85 Today, College Algebra MAT-121-GS/OL Final Examination. Form B/Version G FM-10/2021 Page un 22. A moving company charges a flat rate of $200, and an additional $11.25 for each box UberTM service would charge $35 for each box, what is the minimum number of boxes you would need for it to be cheaper to use the moving company, and what would be the total cost? A. 7 boxes at a cost of $245.00 B. 8 boxes at a cost of $280.00 C.9 boxes at a cost of $301.25 D. 10 boxes at a cost of $312.50
A bag contains 310 coins worth $40.00. There were three types of coins: nickels, dimes, and quarters. If the bag contained twice as many dimes as nickels, the number of each type of coin that was in the bag is calculated as follows: Lets assume x be the number of nickels.
Then the number of dimes will be 2x.The total value of all nickels will be 5x cents. The total value of all dimes will be 10(2x) = 20x cents. The total value of all quarters will be 25(310 – x – 2x) = 25(310 – 3x) cents. The sum of these values will be $40.00, which is 4000 cents.
Hence, we have the equation:5x + 20x + 25(310 – 3x) = 4000Simplify and solve for x:x = 76, 2x = 152, 310 – 3x = 82Therefore, the number of nickels was 76, the number of dimes was 152, and the number of quarters was 82
Given the total number of coins in the bag, and the total value of all the coins, this question requires setting up a system of linear equations involving the number of each type of coin and using this system to find the number of each type of coin. It is then solved to find the values of each of the variables. Using the solution, we can identify the number of each type of coin that was in the bag.
Thus, the answer is option C. Nickels: 76; Dimes: 151; Quarters: 83.
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Plz answer this
(5x^2-3x+1)-(4x+2x^2-2)
Helppp pleaseeeeeeeeeee
Answer :
Here trigonometric ratio will be used.
As we can see the figure where 5 is the perpendicular and we have to calculate the value of x.
x is Hypotenuse
Using trigonometric ratio:
\( \sf \: \dfrac{P}{H} = \sin \theta\)
Where P is perpendicular and H is Hypotenuse.
Since hypotenuse is x and the value of perpendicular is 5. Therefore by substituting the values of Perpendicular and Hypotenuse in the above trigonometric ratio we will get required value of x.
Also, The value of \(\theta\) will be 45°
\( \sf\dfrac{5}{x} = \sin 45\degree \)
\( \sf\dfrac{5}{x} = \dfrac{1}{ \sqrt{2} } \: \: \: \: \: \: \: \: \: \: \: \bigg( \because \sin45 \degree = \dfrac{1}{ \sqrt{2} } \bigg)\)
Further solving by cross multiplication,
\( \sf x = 5 \sqrt{2} \)
So the value of x is \( \sf 5 \sqrt{2} \)
A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If the company has a total of 35,325 cm^3 of wax, how many candles can be made? Use 3.14 for ,pie and do not round your answer. will give brainliest
We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 35,325 cubic cm of wax.
To solve our given problem, we will divide total volume of wax by volume of one candle.
Volume of each candle will be equal to volume of sphere.
\(V=\frac{4}{3} \pi r^3\), where r represents radius of sphere.
We know that radius is half the diameter, so radius of each candle will be \(\frac{15}{2}=7.5\) cm.
\(\text{Volume of one candle}=\dfrac{4}{3} \times3.14\times(7.5 \ \text{cm})^3\)
\(\text{Volume of one candle}=\dfrac{4}{3} \times3.14\times421.875\ \text{cm}^3\)
\(\text{Volume of one candle}=1766.25\ \text{cm}^3\)
Now we will divide 35,325 cubic cm of wax by volume of one candle.
\(\text{Number of candles}=\frac{35,325 \ \text{cm}^3}{1766.25 \ \text{cm}^3}\)
\(\text{Number of candles}=\frac{35,325 }{1766.25 }\)
\(\text{Number of candles}=20\)
Therefore, 20 candles can be made from 35,325 cubic cm of wax.
find missing parts of the triangle
The length of the side b for the right triangle ABC is equal to 5.276, and the measures of angle A and B are 64 and 26 to the nearest degree using the sine rule.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
The side length b is derived using the Pythagoras rule as follows:
b = √(12.2² - 11²)
b = 5.276
Using the sine rule;
12.2/sin90 = 11/sinA
A = sin⁻¹(11 × sin90)/12.2 {cross multiplication}
A = 64.4
12.2/sin90 = 5.3/sinB
B = sin⁻¹(5.276 × sin90)/12.2 {cross multiplication}
B = 25.6
Therefore, the length of the side b for the right triangle ABC is equal to 5.276, and the measures of angle A and B are 64 and 26 to the nearest degree using the sine rule.
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Can you please help me I’m confused how to turn my answer cos B = 13/43 into and find the degree for B
The degree of angle B is approximately 17.45 degrees.
To find the degree of angle B, you first need to know what type of triangle you are working with. If you have the length of one side and the ratio of two sides, you likely have a right triangle.
To find the degree of angle B, you can use the inverse tangent function (tan^-1) on the ratio of the opposite side (13) to the adjacent side (43):
tan^-1(13/43) = 17.45 degrees
So the degree of angle B is approximately 17.45 degrees.
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Name the marked angle in 2 different ways.
1) angle DCB
2) angle BCD