Answers
PR = 5 since it is also the radius.
So if you use the Pythagorean theorem, you get sqrt(13^2 - 5^2) = 12
Related Questions
If 18% of a number is 24, find 3% of that number. You must show your work in the work space.
Answers
Answer:
hello
18 % = 24
3 % = ( 3 x 24 ) / 18 = 4
Step-by-step explanation:
i have the first part but i am confused on the b and c portion of this question
Answers
We are given that an object follows the next parametric equations:
\(\begin{gathered} x=vcos\theta t \\ y=vsin\theta t+k-16t^2 \end{gathered}\)Where:
\(\begin{gathered} x=\text{ horizontal distance} \\ y=\text{ height of the object} \\ v=\text{ initial velocity} \\ \theta=\text{ initial angle} \\ t=\text{ time} \end{gathered}\)Now, we substitute the given values for the horizontal reach we get:
\(x=\lparen128cos60)t\)For part B we are asked to determine the time that the object would take to reach a horizontal distance of 400 feet. To do that we will substitute the value of "x = 400" in the equation:
\(400=\operatorname{\lparen}128cos60)t\)Now, we solve for the time "t" by dividing both sides by "128cos60":
\(\frac{400}{128cos60}=t\)Solving the operations:
\(6.25=t\)Therefore, it would take 6.25 seconds for the object to reach the 400 ft.
Part C we are asked to determine the height when the object reaches the 400 ft. To do that we use the equation for the height "y":
\(y=vs\imaginaryI n\theta t+k-16t^2\)Substituting the values we get:
\(y=8+128sin60t-16t^2\)Now, we substitute the value of time "t = 6.25s" which is the time it takes the object to reach the 400 ft:
\(y=8+128s\imaginaryI n60\left(6.25\right)-16\left(6.25\right)^2\)Solving the operations:
\(y=75.82\)Therefore, the height is 75.82 ft.
Evaluate x(–y + z) for x = 3, y = 3, and z = 1.
Answers
Substitute:
3 for x
3 for y
1 for z
x(−y+z)
becomes:
3(−3+1)⇒
3 ⋅ −2 ⇒
−6
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Answers
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
Make q the subject of the formula 2(q+p) = 1 + 5 q
Answers
q = 2/3p - 3
Step by step:
2q+2p = 1+5q
2q - 5q = -2p + 1
-3q = -2p + 1
q = 2/3p - 3
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed p pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies.
Write an equation to describe this situation.
What was the total weight of the basket of apples.
Answers
Answer:
3+17=p
p= 20p
Step-by-step explanation:
PLEASE HEL0LP ME MY TEACHER IS NOT GOING TO BE HAPPY - MATHS !!!!
Answers
(Just count the boxes)
Answer:
No
Step-by-step explanation:
Since shape a has 32 squares
And shape b has 42
So b is bigger
I need someone to solve b ASAP please help
Answers
b) The 99% confidence interval for the population proportion is given as follows: (0.57, 0.68).
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
The parameters for this problem are given as follows:
\(n = 520, \pi = \frac{325}{520} = 0.625\)
Then the lower bound of the interval is given as follows:
\(0.625 - 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.57\)
The upper bound of the interval is given as follows:
\(0.625 + 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.68\)
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Describe the error in solving the linear system of inequalities.
X
y≤ 3x+4
y> ¹/x+2
4
-2
УМ
4
2 x
Answers
A system of linear inequalities represented by the graph include the following:
y ≥ -x + 4
\(y\ge \frac{3}{2} x-9\)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of the dashed line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 - 4)/(4 - 0)
Slope (m) = -4/4
Slope (m) = -1
At data point (0, 4) and a slope of -1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = -1(x - 0)
y = -x + 4
y ≥ -x + 4 (since the dashed line is shaded above).
For the solid line, we have:
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3 - 0)/(8 - 6)
Slope (m) = 3/2
At data point (6, 0) and a slope of 3/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 0 = 3/2(x - 6)
y = 3/2(x) - 9
\(y\ge \frac{3}{2} x-9\) (since the solid line is shaded above).
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Complete Question:
Write a system of linear inequalities represented by the graph.
9000000000000000000000000000x1000003848645356888829911111
Answers
Answer:
9.1200003464E54
Hope that answers your question. Please mark as Brainliest. Thank You!
graph these equations? y = 3x - 5, y = 1/2x + 5
Answers
The solution of the given system of equations is (4, 7).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)
Substitute equation (I) in (II), we get
3x-5=1/2 x+5
3x-1/2 x=5+5
2.5x=10
x=4
Substitute x=4 in equation (I), we get
y=3(4)-5
y=7
So, solution is (4, 7)
Therefore, the solution of the given system of equations is (4, 7).
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6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
Answers
Jaquera plans to invest her tax refund of $3500 in a money market account offering 3.25% APR compounded weekly.
a. What will the balance be after 10 years? (Round to nearest cent)
Answers
Answer:
10769
Step-by-step explanation:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
If a car moves 12 km North,19 km east, and 12 km south, what is its displacement
Answers
Answer:
19 km east
Step-by-step explanation:
By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement
Answer:
19 km, East
Step-by-step explanation:
I hope you get it right
How do I solve for the fourth term in this sequence?
Answers
Answer:
d(4) = 64Step-by-step explanation:
d(1) = 13
d(n) = d(n - 1) + 17
where
n is the nth term
To find the 4th term we must first find the second term use it to find the 3rd term and use the 3rd term to find the 4th term
So we have
For the 2nd term
That's d(2)
We have
d(2) = d(2-1) + 17
d(2) = d(1) + 17
But d(1) = 13
d(2) = 13 + 17 = 30
For the 3rd term d(3)
That's
d(3) = d(3 - 1) + 17
d(3) = d(2) + 17
d(3) = 30 + 17 = 47
For the 4th term that's d(4)
We have
d(4) = d(4 - 1) + 17
d(4) = d(3) + 17
d(4) = 47 + 17
We have the final answer as
d(4) = 64Hope this helps you
A board 18 feet long is cut into three pieces. the second is twice as long as the first piece and the third piece is 3 feet longer than the second. how long is each piece
Answers
Answer:
3 ft
6 ft
9 ft
Step-by-step explanation:
Set up your equation;
18=x+2x+2x+3
simplify;
5x+3=18
18-3= 15
5x=15
15/5=3
x=3
Then plug everything in;
3(2)=6
3(2)+3=9
if h(x) =x+2/x-2, then dy/dx= ?
Answers
dy/dx = [(x - 2)(1) - (x + 2)(1)]/(x - 2)^2
Simplifying the numerator:
dy/dx = (-4)/(x - 2)^2
So the derivative of h(x) with respect to x is -4/(x - 2)^2.
Answer: To find the derivative of the function h(x), we can use the quotient rule, which states that if f(x) = u(x) / v(x), then f'(x) = [v(x)u'(x) - u(x)v'(x)] / [v(x)]^2.
Using this rule, we can find the derivative of h(x) as follows:
h(x) = (x + 2) / (x - 2)
h'(x) = [(x - 2)(1) - (x + 2)(1)] / (x - 2)^2 // apply the quotient rule and differentiate numerator and denominator
h'(x) = (-2 - 2x) / (x - 2)^2
Therefore, the derivative of h(x) is h'(x) = (-2 - 2x) / (x - 2)^2.
Step-by-step explanation:
Can you help? I'm just too lazy to answer it lol
Answers
Answer:
second answer should be corr3ect tell em if wrong
Step-by-step explanation:
2x + 3y - x - (8+1)
=x+3y-(9)
Please help ASAP !! Via the photo below
Answers
Answer:
y-3 = -4 (x-1)
Step-by-step explanation:
y= -4x - 5
In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).
Use the point (1,3) and substitute it into the equation.
Point-slope form: y-y1 = m(x-x1)
y-3 = -4 (x-1)
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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Which graph accurately indicates the region, shaded in green, that would determine the solution for the
inequality
|x+7 | -2>0?
Answers
Answer:
The region where the inequality is valid is (x>-5) and (x<-9).
The graph is attached.
Step-by-step explanation:
We have a inequality and we have to determine the region in the xy-plane that inequality.
\(|x+7|-2>0\\\\|x+7|-2+2>0+2\\\\|x+7|>2\)
We divide the inequality in two regions:
1) When (x+7)>0, we have:
\(x+7>2\\\\x+7-7>2-7\\\\x>-5\)
2) When (x+7)<0, we have:
\(-(x+7)>2\\\\-x-7+7>2+7\\\\-x>9\\\\(-x)(-1)<9(-1)\\\\x<-9\)
Then, the region where the inequality is valid is (x>-5) and (x<-9).
The graph is attached.
Answer:
B
Step-by-step explanation:
edg 2020
ASAP PLEASEEE!!!!
This is Algebra 2 Help me out people!!.
Answers
4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:
Answers
The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:
Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory
Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.
5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:
Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead
Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:
Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor
Without knowing the value for direct labor, we cannot compute the overhead cost.
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Using the table, what is the average daily balance of the credit card for the October 1 - October 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5,678.00 should be entered as 5678.00. Day 1112131 Activity − Payment Purchase Purchase Adjustment −−2000+1500+1000 Closing Balance 100008000950010500
Answers
The balance based on the.data given in the table is shown below.
Balance from day 1 to 10 = 11000
Balance from day 11 to 21= 8000
Balance from day 21 to 30- 5500
Balance on day 31 7500
How to explain the balanceBalance from day 1 to 10= 11000
Balance from day 11 to 21= 8000 Balance from day 21 to 30 5500
Balance on day 31- 7500
The average daily balance of the credit card for the month of december is:
Average daily balance The ratio of total balance from each day in cycle to the total number of days in cycle.
Total balance from each day in cycle=
(11000 x 10)+(8000 × 10)+(5500 x 10) + (7500 x 1) = 104000
Average daily balance=104000 / 31
= 8145
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Someone help What expression is equivalent to 1/2^6
Answers
Step-by-step explanation:
1/2⁶
= 1/64
Hope it helps you
24
A
Step 1
Algebra 1
1A: 2198 262 2A:
3A:
Topic 6-Quadratic Functions - Assessment 2 Retake A
4A:
Here is a pattern of squares.
2. Draw a diagram to show that 5(x+2) = 5x + 10.
Step 2
Step 3
3A: Write an expression for step n of this pattern:
2A: Is this pattern linear, exponential, or quadratic?
How do you know?
5A:
revenue (dollars)
1000
800
600
400
200
Name Marc burke
2 4 6 8 10 12 14 16 18 20
price (dollars)
Use the graph to answer the following question:
5A: What is the domain of this graph?
loodsholt tohut 69
Answers
The function of the sequence is T(n) = n² + n and it is quadratic
The domain of the graph is [0, 18]
The expression for the n-th termFrom the question, we have the following parameters that can be used in our computation:
Step Cells
1 2
2 6
3 12
From the table, we have
T(n) = n * (n + 1)
This gives
T(n) = n² + n
Hence, the function is T(n) = n² + n
The sequence typeThe sequence T(n) = n² + n is a quadratic sequence
The domain of the graphThis is the set of the x values
From the graph, we have
x = 0 to 18
So, we have
Domain = [0, 18]
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Write a positive or negative integer that represents the situation.
A baker discards 12 loaves of bread.
Answers
Answer:
-12
Step-by-step explanation:
"+" means positive and addition while "-" has the opposite meaning. The baker discarding (throwing away) the bread means the amount of bread he has decreases. So we use negative to represent this situation.
A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters what is the wolume of the rectangular prism?
Answers
Answer:
22.5 cm3
Step-by-step explanation: i took thy test
The volume of the rectangular prism is 22.5 cm³
What is a Rectangular Prism?A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid.
Given here A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters.
Now we know the volume of the rectangular prism is given by
The volume of a rectangular prism = Length x Width x Height cubic units.
∴ V= 10×2.5×0.9
= 22.5 cm³
Hence, the volume of the rectangular prism is 22.5 cm³
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Leah Long bought one bond of Vick Company for 147. The original bond was 8.25 10. Leah wants to know the current yield. Help Leah with the calculation. (Round your answer to the nearest tenth percent.)
Answers
Hence, the current yield is \(1212.897\)
What is the calculation?
A calculation is a deliberate mathematical process that transforms one or more inputs into one or more outputs or results.
Here given that,
Leah Long bought one bond of Vick Company for \(147\). The original bond was \(8.25 10\).
So,
\(8.2510(147)=1212.897\)
Hence, the current yield is \(1212.897\)
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