Answer:
28
Step-by-step explanation:
First we must divide -45 by -5 to find the result of julios number - 19.
-45/-5 = 9
Add 19 and 9
28
We can check this awnser by going backwards
28 - 19 = 9
9 x -5 = -45
Have a good day
in a circle, a sector with central angle is 225 degrees intercepts an arc of length 30pi in. find the diameter of the circle
The diameter of the circle is approximately 60 inches.
To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.
In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).
To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.
The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.
In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.
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Solve: 4 - 2 x 8 + (6 x 2) x 4 + 3^2
Answer:
42
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
4 - 2 × 8 + (6 × 2) × 4 + 3²
= 4 - (2 × 8) + (6 × 2) × 4 + 3²
= 4 - 16 + 12 × 4 + 9
= (4 - 16) + (12 × 4) + 9
= -12 + 48 + 9
= 45
Identify the area of the figure rounded to the nearest tenth
Answer:
118.7 inches squared.
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The expression for solving the area of a circle is A = π × \(r^{2}\).
To solve for the semicircle above, we can divide the diameter into 2 to get the radius.
12 ÷ 2 = 6So, the radius of the upper semicircle is 6 inches.
If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.
A = π × \(6^{2}\)This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.
To solve for the lower semicircle, we can do the same this as we did above.
A = π × \(r^{2}\)But wait, we don't know the radius or diameter!
No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.
To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.
6 ÷ 2 = 3So, the radius of the circle is 3.
Now we can insert 3 into the expression.
A = π × \(3^{2}\)This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.
Adding the two semicircles together:
18π + 4.5π = 22.5π22.5 × π ≈ 70.6858So, the area of both semicircles is approximately 70.6858 square inches.
To solve for the area of a rectangle we use the expression:
A = length × widthInserting the dimensions of the rectangle:
8 × 6 = 48So, the area of the rectangle is 48 square inches.
Adding the two areas together:
70.6858 + 48 = 118.6858 ≈ 118.7Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).
What is 1/4 also called?
Answer: Quarter or 25%
Step-by-step explanation:
1/4 = 25%/ 100%
Or quarter
Answer:
1/4 is also called:
One Fourth
One quarter
One percent of Four
What is 5x² + 6x -3 + 4x² - 8x + 2?
Answer
The answer is 9x² - 2x - 1
Explanation
The question wants us to simplify the given expression by summing the terms
5x² + 6x - 3 + 4x² - 8x + 2
To do this sum, we bring the terms that are similar together and sum them. The expression then becomes
5x² + 4x² + 6x - 8x - 3 + 2
= 9x² - 2x - 1
Hope this Helps!!!
Answer:
2(11x + 8)
Step-by-step explanation:
please answer 10-14, will give brainliest if correct
Answer:
10. No solutions -- Because 5 can't = 0
11. Infinite Solutions -- Because on both sides of the (=) there is a 10 and a B that (b) and be any # and it will still be =
12. No Solutions -- Because 8 can't = 2
13. One Solution -- Because something (-4) = 9 only one # will fit for x and that # is 13 because 13-4=9
14. Infinite Solutions -- Because both sides of the (=) there is 6z because (3+3) z = (6)z = 6z. and if you but any # for z they will always be =
What is the ratio of yellow paint to the red paint
How many degrees is π/6 radians?
Answer:
30°
Step-by-step explanation:
1 π is 180°, essentially, π/6 = 180 / 6 = 30°
Answer:
π6 radians is 30 degrees
The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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Find the volume of the region bounded by the paraboloid z=x2+y2, the cylinder x2+y2=64, and the xy-plane. evaluate integral by hand.
The volume of the region is 1024π cubic units.
How to find the volume of the region bounded by the paraboloid ?To find the volume of the region, we need to integrate the function \(f(x,y) = x^2 + y^2\) over the region R,
which is defined by the cylinder \(x^2 + y^2 = 64\) and the xy-plane.
We can express R as follows:
\(R = {(x, y) | x^2 + y^2 ≤ 64, z ≥ 0}\)
To integrate over this region, we can use cylindrical coordinates.
In cylindrical coordinates, the equation of the cylinder is simply \(r^2 = 64\). The limits of integration for r are therefore 0 to 8.
The limits of integration for θ are 0 to 2π, since we want to integrate over the entire circle.
To express f(x,y) in terms of cylindrical coordinates, we first need to express \(x^2 + y^2\) in terms of r. This is simply \(r^2\). Therefore, we have:
\(f(x,y) = x^2 + y^2 = r^2\)
To set up the integral, we have:
\(V = \int\int R f(x,y) dA\)
where dA is the area element in cylindrical coordinates, which is given by r dr dθ. Therefore, we have:
\(V = \int0^{2\pi} \int0^8 r^3 dr d\theta\)
Evaluating the inner integral first, we get:
\(\int0^8 r^3 dr = [r^4/4]0^8 = 512\)
Substituting this result into the outer integral, we get:
\(V = \int0^{2\pi} 512 d\theta = 1024\pi\)
Therefore, the volume of the region is 1024π cubic units.
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Pls Help 100 points. JK, KL, and LJ are all tangent to circle O. JA = 14, AL= 12, and CK= 8. What is the perimeter of triangle JKL?
The perimeter of triangle JKL is determined as 68 units.
What is the perimeter of triangle JKL?The perimeter of triangle JKL is calculated as follows;
The perimeter of triangle JKL is the sum of all the distance round the triangle.
Perimeter = length JK + length LK + length JL
AL = CL = 12
Length LK = CL + CK = 12 + 8 = 20
JA = JB = 14
KB = CK = 8
Length JK = JB = KB = 14 + 8 = 22
Length JL = JA + AL = 14 + 12 = 26
The perimeter of triangle JKL is calculated as;
Perimeter = 20 + 22 + 26
Perimeter = 68 units.
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I need help!!! Please help...
Answer:
SQR is also 45 degrees
Step-by-step explanation:
SQR + PSQ= PQR
45+45=90
Cash price 550 000 installment 4500 per month repayment term 240 months determine the total amount if the installment option is used?
if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.
To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.
The installment amount per month is $4,500, and the repayment term is 240 months.
Total repayment = Installment amount per month * Repayment term
Total repayment = $4,500 * 240
Total repayment = $1,080,000
Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.
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the cost in dollars of a class party is 59 13n, where n is the number of people attending. what is the cost for 44 people?
The total cost of 44 people in the class party will be $631
The total cost in dollars of a class party is 59 + 13n
Where n = number of people attending in the class party
Let F(n) be the function representing the total cost in dollars of a class party
Such as, F(n) = 59 + 13n
As per the question, the total cost of attending the 44 people will be:
For 44 people we have n = 44
As we had, F(n) = 59 + 13n
Here, F(n) will be treated as a function in which n will be its domain while F(n) will give the output as a range.
F(44) = 59 + 13(44)
= 59 + 572
= 631
Total cost will be $631
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the number of times a variable appears in a data set is called _____
Answer:
The number of times a variable appears in a date set is called a constant.
Can anyone help me it is urgent
I just need help with (c) and the other green part I think is what is going to help answer
Answer:
Yes
See explanation below
Step-by-step explanation:
Solving (c)
We have the following scenario:
Step Number of squares
1 1² + 1 = 2
2 2² + 2 = 6
3 3² + 3 = 12
The relationship between step number and squares is
Step n = n² + n squares
This is a quadratic expression since the highest power is 2(degree of the expression)
YES is the answer
Select ALL the correct answers.
Which equations could be used to find the value of 9,360 + 15?
(9,000 + 300+60) ÷ 15 = 624
(9,300 15) + (60 ÷ 5) = 624
(9,000 + 10) + (360 ÷ 5) = 642
(9,000 15) + (300 ÷ 5) + (60 = 10)
(9,000 15) + (300÷10) + (60 ÷ 5)
÷
(9,000 15) + (360 = 15)
÷
624
-
642
= 642
Answer:
the first, second and last option
Step-by-step explanation:
the manager of a service station is in the process of analyzing the number of times car owners rotate the tires on their cars. she believes that the average motorist rotates his or her car's tires less frequently than recommended by the owner's manual (two times per year). in a preliminary survey she asked 14 car owners how many times they rotated their cars' tires in the last 12 months. the results are 1, 1, 2, 0, 3, 3, 0, 1, 0, 1, 2, 3, 3, and 1. a. does this data provide sufficient evidence at the 10% significance level to indicate that the manager is correct?
The p-value associated with the test statistic is 0.018, which is less than the significance level of 10%.
If the p-value is less than the significance level (10%), then the manager can reject the null hypothesis in favor of the alternative hypothesis, which is that the average number of times car owners rotate their tires in a year is less than two.
Based on the sample data of 14 car owners, the mean number of times their tires were rotated in the last 12 months is 1.36, which is less than two. The standard deviation of the sample is 1.16, and the t-test statistic is calculated to be -2.28.
Using a t-distribution table with 13 degrees of freedom (n-1), the critical t-value at a significance level of 10% is -1.771. Since the t-test statistic (-2.28) is less than the critical t-value (-1.771), there is enough evidence to reject the null hypothesis.
Therefore, the manager can conclude that based on this sample data, there is sufficient evidence to suggest that car owners rotate their tires less frequently than the recommended amount in the owner's manual.
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A fabric company can produce 10,200 yards of fabric per year currently. The company's goal is to increase the amount of
fabric it can produce by 450 yards each year. If the company meets its goal, how many total yards of fabric will it have
produced after 9 years?
Question Answer O A True O B False Question Answer O A True O B False Question Answer OA O B True False Using logarithmic differentiation we obtain that the derivative of the function y = x2x² satisfies the equation y = 4x log x + 2x. y Using logarithmic differentiation we obtain that the derivative of the function (1+x²)2 (1 + sin x)² y= 1-x² satisfies the equation 4x 2cos x 2x -= + y 1 + x² 1 + sin x 1-x² Given two complex numbers z=3-1 and w=3+ the product z2w equals 30-10%. Y'
In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.
In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.
In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².
In the third question, the product z²w is calculated correctly as 30-10%.
It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.
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Solve for x.
7)
B) 7
Di 12
C) -2
Answer:
x = - 7
Step-by-step explanation:
Sum of interior angles is a triangle is 180,
70 + 55 + 62 + x = 180
187 + x = 180
x = 180 - 187
x = - 7
Answer:
C) -7
Step-by-step explanation:
1. All the angles in a triangle add up to 180°. This means that x + 62 + 70 + 55 = 180.
2. (Solving equation above)
Step 1: Combine like terms.
\((x)+(62+70+55)=180\) \(x+(132+55)=180\) \(x + 187=180\)Step 2: Subtract 187 from both sides.
\(x+187-187=180-187\) \(x = -7\)Step 3: Check if solution is correct.
\(-7+62+70+55=180\) \(55+70+55=180\) \(125+55=180\) \(180=180\)Therefore, the answer is C) -7.
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
+
4
-5
-4
-3
-2
-1 0
1 2 3
5
+
+
-5
+ + +
-2 -1 0
+
2 3 4 5
-4
-3
1
út
+
+
+
-2 -1 0
-4
+
3
-5
-3
+
4
1
2
5
-5
-4
-3
-2 -1 0
1
2 3
4 5
Zoom in to see number line clearly
How to solve this Q?
Answer:
\( \frac{61}{20} \)
Step-by-step explanation:
\( \frac{3}{4} + ( \frac{4}{3} - \frac{1}{2} + \frac{2}{3} + \frac{4}{5} ) \\ \\ \frac{3}{4} + (( \frac{4}{3} - \frac{1}{2}) - \frac{2}{3} + \frac{4}{5} ) \\ \\ \frac{3}{4} + ( \frac{4 + 3}{3} - \frac{1}{2} + \frac{4}{5} \\ \\ \frac{3}{4} + ( \frac{6}{3} - \frac{1}{2} + \frac{4}{5}) \\ \\ \frac{3}{4} + (2 - \frac{1}{2} + \frac{4}{5} )\\ \\ \frac{3}{4} + \frac{20 - 5 + 8}{10} \\ \\ \frac{3}{4} + \frac{15 + 8}{10} \\ \\ \frac{3}{4} + \frac{23}{10} \\ \\ \frac{15 + 46}{20} \\ \\ \frac{61}{20} \)
Marilyn is buying a birthday present for her son from his favorite store. She has a $25 store credit that will help cover the cost of his gift. Marilyn wants to spend less than $31 after applying the store credit. If p represents the cost of the present, then this situation can be modeled by the inequality,
p - 25 < 31
Which value could be a possible cost for the present and a solution to Marilyn’s inequality?
57
58
56
55
Answer: 55
Step-by-step explanation: 55 - 25 = 30
just subtract all the answers by 25 and try to find something lower then 31
3) Shayna and Anjali are selling pies for a school fundraiser. Customers can buy cherry pies and
pumpkin pies. Shayna sold 9 cherry pies and 10 pumpkin pies for a total of $105. Anjali sold 8
cherry pies and 11 pumpkin pies for a total of $106. Find the cost each of one cherry pie and one
pumpkin pie.
Answer
$7
Step-by-step explanation:
10-8= 2
9-2=7
Given that f(x) = x2 – 5x – 14 and g(x) = x – 7, find (f +g)(x) and
express the result in standard form.
Answer:
\((f+g)(x)=x^2-4x-21\)
Step-by-step explanation:
We are given:
\(f(x)=x^2-5x-14\text{ and } g(x)=x-7\)
And we want to find:
\((f+g)(x)\)
This is equivalent to:
\(=f(x)+g(x)\)
Therefore, by substitution:
\(=(x^2-5x-14)+(x-7)\)
Rearranging gives:
\(=(x^2)+(-5x+x)+(-14-7)\)
Combine like terms:
\(=x^2-4x-21\)
Simplify:
5g (3g + 7g² - 9)
A. 50g⁴ - 45g
B. 15g2 +35g – 45g
C. 8² + 12g³ – 4g
D. 8g + 7g²- 9
E. 5g⁴
wus 9 + 10 equal please help wus 9 = 10
Answer:
19
Step-by-step explanation:
it is 19
yes
wait no its 100000000000
I big brain UwU
Answer:
Step-by-step explanation:its 21
How many grams are in 32372 milligrams? Round your answer to the nearest tenth ( to one decimal point)
Answer:
Hey there!
The rule for converting milligrams to grams is dividing by 1000.
So, 32372 milligrams would be 32.372 grams.
Let me know if this helps :)
how many times do you have to fold a piece of paper to reach the moon
Folding a piece of paper to reach the moon would require an impractical number of folds, far exceeding the physical limits of paper.
The distance from Earth to the moon is approximately 384,400 kilometers. Let's assume we have a standard sheet of paper that is 0.1 millimeters thick. Each time we fold the paper, its thickness doubles. After one fold, the thickness would be 0.2 millimeters, after two folds it would be 0.4 millimeters, and so on. If we continue this doubling process, after 42 folds, the paper's thickness would reach about 439.8 kilometers.
However, even after reaching this astonishing thickness, the folded paper would still be nowhere near the distance required to reach the moon. To put it into perspective, after 42 folds, the paper would only be approximately 0.0001% of the distance to the moon. Folding the paper enough times to bridge the remaining distance is impossible due to the physical constraints of paper and the enormity of the distance involved.
In conclusion, folding a piece of paper to reach the moon would require an impractical number of folds, making it unfeasible in reality. The enormity of the distance between Earth and the moon, combined with the limited thickness of paper, prevents us from achieving this feat.
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