Answer:
52
Step-by-step explanation:
Answer:
total Area= 168, Permiter= 42
Step-by-step explanation:
correct me if I'm wrong
what is the simplest form of 2/3 - 1/4 =
Answer:
I got 5/12
Step-by-step explanation:
Hope this helped
ANSWER
The answer will be
Step-by-step explanation:
5/2=0•416666667
The ratio of hotdogs sold to hamburgers sold was 10:7.
If 120 hotdogs were sold, how many hamburgers were sold?
Answer:84
Step-by-step explanation:
Answer:
84 hamburgers were sold
A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.
The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.
To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.
Since the owner wants the total cost to be under $2000, we can set up the inequality:
43H + 750 < 2000
Now, let's solve this inequality for H, the number of hours:
43H < 2000 - 750
43H < 1250
Dividing both sides of the inequality by 43:
H < 1250/43
To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.
Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:
H < 29
Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.
By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.
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31
A straight line
has gradient 6
and
passes through the point (3, 19)
Work out the equation of the line.
Give your answer in the form
y = mx + c
y = 6x + 1 is the line of the equation which has a gradient of 6 and passes through the point (3, 19)
What is a gradient?
A straight line's steepness can be determined by looking at its gradient. A line's gradient does not have to be a whole integer and might be positive or negative. A line's gradient can either be uphill (positive value) or downward (negative value).
Here, we have
Equation of line
y = mx + c
m = Slope of line = Gradient = 6
= y = 6x + c
a line passes through (3, 19)
so, we find the value of c
= 19 = 6(3) + c
= c = 1
Now, we put the value of c in the equation and we get
= y = 6x + 1
Hence,y = 6x + 1 is the line of the equation which has a gradient of 6 and passes through the point (3 19)
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find the value of tanA when tan(A-45)=1÷3)
Answer:
63.44degrees
Step-by-step explanation:
Given that;
tan(A-45) = 1/3
A-45 = arctan(1/3)
A - 45 = 18.44
A = 18.44+45
A = 63.44degrees
Hence the value of A is 63.44degrees
HELP ME PLEASE!!!!!!!!!!!!
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is: ∠A = 39.6°
3) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
3) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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Please explain your answer to the question in the picture with steps, thank you.
Answer:
(a) y = x/8
(b) y = 7/8
Step-by-step explanation:
You want a direct variation equation that relates x and y, given y = 2 when x = 16.
(a) Direct variationThe equation for direct variation is usually written in the form ...
y = kx
where k is the constant of proportionality.
The value of k can be found from ...
k = y/x . . . . divide by x
For the given values, k is ...
k = 2/16 = 1/8
The direct variation equation is ...
y = (1/8)x
(b) Find yThe value of y for x=7 is found by substituting 7 for x in the equation above:
y = (1/8)·7
y = 7/8
<95141404393>
The graph shows the relationship between the number of hours Teresa spends
knitting and the number of squares she completes for a blanket. Based on the
equivalent ratios shown in the graph, how many hours does it take Teresa to
knit 265 squares? Show your work.
3:15, 6:30, 9:45, 12:60
When 15 squares are knit in three hours, 265 squares are knit in 53 hours.
What is proportion?A part, share, or quantity is a percentage when it is compared to the total. It can be any number between 0 and 1, 0, or 1. A number or percentage can be used to represent it. The percentage of Canadians who reside in a certain province is one illustration from official statistics. A unique kind of ratio called a percentage has the numerator and denominator combined. An illustration is the ratio of deaths to men, which is calculated by dividing deaths to men by deaths to men and women (i.e. the total population).
Here,
Let x be hours does it take Teresa to knit 265 squares,
3/15=x/265
3*265/15=x
x=53 hours
It takes 53 hours to knit 265 squares when it takes 3 hours to knit 15 squares.
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Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.
(1, 1)
(0, 1) and (1, 1)
(0, 0) and (1, 1)
no solutions
(1,1) or A is the answer I believe
Answer:
1,1
Step-by-step explanation:
math
Assuming a Perfectly Competitive firm has the following cost function: TC = 1000 + 600Q – 10Q2 + 0.05Q3 . Minimum AVC is
Therefore , to calculate the average AVC, use the formula: TC at 0 output is 5, which equals fixed cost (FC) of 5.
How are AVC, AFC, and TC calculated?The fixed cost per unit of output is known as the AFC, and the variable cost per unit of output is known as the AVC. We previously stated that Bob's Bakery can produce 100 loaves with FC = 40, VC = 500, and TC = 540. ATC = TC/Q = 540/100 = 5.4 as a result. Additionally, AVC = 500/100 = 5 and AFC = 40/100 = 0.4.
Here,
Total cost is equal to total fixed cost plus total variable cost, or TC.
In order to obtain the VC at each output, we must first subtract 5 from the TCs for all subsequent output levels.
AVC is now equal to VC divided by Q.
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The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
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P(t)=480,000e−0.024t, where t is the number of years from the present. What does this model predict the population will be in 14 years?
The model predicts the population to be 671,520 in 14 years
What is an exponential function?An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.
Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.
Population, P(t) = 480,000\(e^{-0.024t}\),
when t = 14
substitute t = 14 into the equation,
Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520
In conclusion, the Population of the model after 14 years is 671,520
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This is hard please solve it for brainly.
Answer: C
Step-by-step explanation: you just multiple 40 by 4
Answer:
C) 160
Step-by-step explanation:
multiply each side by 40
the 40 from x/40 is eliminated and then you are left with x = 160
I NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The answers are:
27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5
The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.
The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.
The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.
The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.
As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.
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If x = 2, solve for y. y = 6.3x y=[?]
Answer: y = 12.6
Step-by-step explanation:
Since x = 2 and y = 6.3 * x, y = 6.3 * 2.
6.3 * 2 is equal to 12.6, so y is 12.6.
Answer:
y = 12.6
Step-by-step explanation:
y = 6.3x x = 2
Solve for y.
y = 6.3(2)
y = 12.6
So, the answer is 12.6
Last year, sally had a gross profit margin of 68% in her hair salon. Her gross profit was $32,508. 63. How much did sally make in net sales last year? a. $16,398. 06 b. $22,105. 87 c. $35,610. 25 d. $47,806. 81 please select the best answer from the choices provided a b c d.
The net sales made by Sally last year was $47,806. 81. Therefore option D is the correct answer.
The formula in order to calculate gross profit margin is ,
Gross profit margin = (gross profit / net sales) x 100%
As is is mentioned that Sally's gross profit margin was 68%, and her gross profit was $32,508.63. Then let's suppose that her net sales was y. Then we can write that:
68% = ($32,508.63 / y) x 100%
Now let's multiply both sides by y and dividing by 100%, we get:
0.68y = $32,508.63
On dividing the both sides of the equation by 0.68, we will get,
y = $47,806.81
Hence, Sally's net sales of the last year is calculated to be $47,806.81.
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When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
Answer:
50
Step-by-step explanation:
58 - 9.5
Answer:
Your correct answer is 52.49
Step-by-step explanation:
Subtract.
58 - 9.5% = 52.49
A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha : p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?
Answer:
The value is \(p-value = 0.22663\)
Step-by-step explanation:
From the question we are told that
The proportion of bruised tomatoes p = 0.08
The null hypothesis is \(H_o : p = 0.08\)
The alternative hypothesis is \(H_a : p > 0.08\)
The sample size is n = 600
The number of bruised tomatoes from the sample selected is k = 53
The test statistics is z =0.75
Generally the p-value is mathematically represented as
\(p-value = P(Z > z)\)
=> \(p-value = P(Z > 0.75)\)
From the z-table
\(P(Z > 0.75) = 0.22663\)
So
\(p-value = 0.22663\)
Answer:
P-value ≈ 0.2266
Step-by-step explanation:
1 dollar bill is 6.14 inches long 2.61 wide and 0.00043 thick. If you had 1 billion in 100 dollar bills the the number of bills would be
The number of 100 dollar bills in one billion dollars is 10 million hundreds or 70,900 hundred dollar bills.
To find the number of 100 dollar bills in one billion dollars, we can use the following steps:
First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,
we can divide one billion by 100 to get the number of hundreds
\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)
So one billion dollars is equal to 10 million hundreds.
Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)
The volume of one hundred dollar bill is approximately 0.00709 cubic inches.
Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)
Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.
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I will give brainliest out please help me answer the unsolved ones
For the given triangles:
(1) x = 5.4
(2) x = √23
(3) θ = 25.84 degree
(4) x = 9.5
(5) n = 41
(1) In the given triangle,
One angle = 16 degree
Perpendicular = x
Hypotenuse = 20
Since we know that
Sinθ = opposite side of θ/hypotenuse
Therefore,
⇒ sin 16 = x/20
⇒ 0.27 = x/20
⇒ x = 5.4
(2) In the given triangle,
Hypotenuse = 12 km
Base = 11 km
perpendicular = x
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (12)²= (x)² + (11)²
⇒ 144 = (x)² + 121
⇒ x² = 23
Taking square root both sides we get,
Hence,
⇒ x = √23
(3) In the given,
Base = 20
Perpendicular = 42
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (Hypotenuse)² = (42)² + (20)²
⇒ (Hypotenuse)² = 2164
Taking square root both sides,
⇒ (Hypotenuse) = 46.51
⇒ cosθ = Adjacent/hypotenuse
= 42/46.51
= 0.90
Taking inverse of cosθ,
⇒ θ = 25.84 degree
(4) In the given triangle,
One angle = 30 degree
Base = x
Hypotenuse = 11
Since we know that
cosθ = Adjacent/hypotenuse
Therefore,
⇒ cos 30 = x/11
⇒ √3/2 = x/11
⇒ x = 9.5
(4) In the given triangle,
Base = 40
Perpendicular = 9
Hypotenuse = n
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ n² = 9² + 40²
⇒ n² = 81 + 1600
⇒ n² = 1681
⇒ n = 41
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Slope 3/5 yintercept2 write an equation slope-intercept form
The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.
To write the equation of a line in slope-intercept form, we use the formula:y = mx + b
where:
- y represents the dependent variable (the vertical axis)
- x represents the independent variable (the horizontal axis)
- m represents the slope of the line
- b represents the y-intercept, the point where the line intersects the y-axis.
In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:
y = (3/5)x + 2
This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).
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You bought a car 3 years ago, taking out a $14,000.00 loan at a 5.8% interest rate for 4 years.
Your monthly payments are $327.51.
A. How much will still be owed after making payments for 3 years?
I will still owe ________
after making payments for 3 years.
B. If the car's value is now $7,500.00 then how much equity do you have after making payments for 3
years?
I will have ______ in equity after making payments for 3 years.
Enter the given values.
N: =
0
Number of Compounding Periods
1:%=
0
Annual Interest Rate as a Percent
PV: =
0
Present Value
PMT: = 0
Payment
FV: =
Future Value
P/Y:
Payments per Year
C/Y:
0
12 :
Solve
Solve
12 :
Compounding Periods per Year
PMT: = END Payments are made at the end of the period
Answer:
To answer these questions, we need to first calculate the total number of payments you have made over the past 3 years. We can do this by multiplying the number of payments per year (12) by the number of years (3). This gives us a total of 36 payments.
Next, we can use a financial calculator or spreadsheet program to solve for the remaining balance on your loan after making 36 payments of $327.51 each. In a financial calculator, we can enter the following values:
N: 36
I: 5.8
PV: -14000
PMT: 327.51
FV: 0
Solving for PV gives us a remaining balance of $4,819.56. Therefore, the answer to part A is $4,819.56.
To find your equity in the car, we can subtract the remaining balance on the loan from the value of the car. In this case, your equity would be $7,500.00 - $4,819.56 = $2,680.44. Therefore, the answer to part B is $2,680.44.
Step-by-step explanation:
Brainliest? :>
What is the density of a material with a mass of 512 kilograms and a volume of 4 cubic meters?
Answer:
128 kg/m^3
\(solution \\ \: mass = 512 \: kg \\ volume = 4 {m}^{3} \\ now \\ density = \frac{m}{v} \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{512}{4} \\ \: \: \: \: \: \: \: \: \: = 128 \: kg/ {m}^{3} \)
hope this helps...
Good luck on your assignment
If cose < 0 and cote > 0, then the terminal point determined by e is in:
A. quadrant 4.
B. quadrant 1.
C. quadrant 3.
D. quadrant 2.
If cos < 0 and cot > 0, then the terminal point is determined by
C. quadrant 3.
What are reference angles according to quadrats?We have I, II, III, IV quadrants.In quadrant I the referece angle Ф is Ф.
In quadrant II the referece angle Ф is (π - Ф).
In quadrant III the referece angle Ф is (π + Ф).
In quadrant IV the referece angle Ф is (2π - Ф).
We know, cos is -ve on III and IV quadrants, and cot = 1/tan is +ve on I and III quadrant.
Therefore, The combined condition cos < 0 and cot > 0 satisfies on the II quadrant.
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The velocity of a car on the highway is given by v(t) where 0 ≤ t ≤ 10 in minutes. Which of the following represents the rate at which the velocity is changing at 2 minutes?
Step-by-step explanation:
v=s/t
0<t represents ie s
What is the solution to this inequality?
4x + 2 5 -14 or 3x-5 > 16
OA.
X3-4 or x>7
OB.
-45x<7
O C.
xs-5 or x>8
OD.
x=-4
Answer:
A is the answer x ≤-4 or x>7
Step-by-step explanation:
Answer:
The answer is A, because they both have answers for each one.
Subtract.
5 – (-2) =
Answer:
7
Step-by-step explanation:
What is the solution to |x-2| + 3 > 17?
Ox<-12 or x > 16
Ox<-14 or x>7
O-12
O-14
Answer:
x<-12 or x>16
Step-by-step explanation:
Answer:
|x - 2| + 3 > 17
|x - 2| > 14
x - 2 < -14 or x - 2 > 14
x < -12 or x > 16