A circle has a radius of 2.5 centimeters and a central angle AOB that measures 90°. What is the area of sector AOB? Use 3.14 for pi and round your answer to the nearest tenth
Find the product. Simplify if possible. −13⋅(817)
(3y)^-2(9y)^2/3y^-4=
What is the apr of a 30 year 300000 mortage with monthly payments of 3000?
If a = (8.4∠39°) and b = (5.2∠50.4°), find the product a·b and the quotient a/b
James lives in San Francisco and works in Mountain View. In the morning, he has 3 transportation options (bus, cab, or train) to work, and in the evening he has the same 3 choices for his trip home. If James randomly chooses his ride in the morning and in the evening, what is the probability that he'll take the same mode of transportation twice?
How do you do it??
Answer:
1/3
Step-by-step explanation:
Which expression represents the distance between 4.7 and −11.2 on the number line? Drag and drop the correct expression into the box.
Answer:
15.9Step-by-step explanation:
[tex]\text{The formula of a distance between two points on a number line:}\\\\d=|a-b|\\\\\text{for}\ a\geq b:\ d=a-b\\=========================\\\\\text{We have}\ 4.7\ \text{and}\ -11.2.\ \text{Substitute:}\\\\d=4.7-(-11.2)=4.7+11.2=15.9[/tex]
The distance between 4.7 and -11.2 on the number line is 15.9.
Explanation:The distance between two points on a number line can be found by taking the positive difference between their coordinates. In this case, the distance between 4.7 and -11.2 is found by subtracting the smaller number from the larger number and taking the absolute value.
Distance = |-11.2 - 4.7| = |-15.9| = 15.9
Therefore, the correct expression is Distance = 15.9.
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Javier used the equivalent ratios to find the number of millimeters in 8 inches.
How many millimeters are in 8 inches?
127 mm
163.2 mm
167 mm
203.2 mm
Solve this equation please !
−2 − (+7) = ?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The solution of the given equation,−2 − (+7) is −9.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
Given an equation, −2 − (+7) which is needed to be solved. Therefore, The given equation can be solved as shown below.
−2 − (+7)
Open the brackets,
= −2 − 7
Add the two terms,
= −9
Hence, the solution of the given equation,−2 − (+7) is −9.
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Expanded form 13,936
Which expression is equivalent to 6 – (–8)?
–6 + 8
–6 + –8
6 + –8
6 + 8
Answer:
A
Step-by-step explanation:
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?
The distance between the ships is changing at a rate of 39 km/hr at 4:00 PM. This is calculated using differentiation of the Pythagorean theorem relating distances between the ships.
Explanation:This is a typical
related rates problem
in calculus. Before we start, let's mark the distance between ship A and ship B as C, the distance that A traveled as X (X=35 km/hr*4 hr = 140 km), and the distance B traveled as Y (Y=20 km/hr*4 hr = 80 km). Note that X, Y, and C form a right triangle. By using the Pythagorean theorem, we get C²=X²+Y², which we can differentiate with respect to time (t) to obtain, 2C * dC/dt = 2X * dX/dt + 2Y * dY/dt. As we're solving for dC/dt (rate of change of the distance between the two ships), we get dC/dt = (X * dX/dt + Y * dY/dt) / C. Plugging in the known values (X=140 km, Y=80 km, dX/dt=35 km/hr, dY/dt=20 km/hr, and C=170 km, as it hasn't changed since they started), we get dC/dt = (140*35 + 80*20) / 170 = 39 km/hr. So, the distance between the ships is changing at a rate of 39 km/hr at 4:00 PM.
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Which equation represents a line that passes through (–9, –3) and has a slope of –6?
Answer:
The required equation of line is y=-6x-57.
Step-by-step explanation:
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where m is slope of the line.
It is given that a line that passes through (–9, –3) and has a slope of –6.
Substitute m=-6, x₁=-9 and y₁=-3 in the above equation.
[tex]y-(-3)=-6(x-(-9))[/tex]
[tex]y+3=-6x-54[/tex]
Subtract 3 from both the sides.
[tex]y=-6x-54-3[/tex]
[tex]y=-6x-57[/tex]
Therefore the required equation of line is y=-6x-57.
Answer:
D).y+3=-6(x+9)
Step-by-step explanation:
took it on edge
Beth sold half of her comic books and then bought nine more. She now has 28. How many did she begin with?
Tia cut a 4 meter 8 centimeter wire into 10 equal pieces. Marta cut a 540 centimeter wire into 9 equal pieces. how much longer is one of Marta's wires than one of Tia's?
Marta's wire is 19.2 cm longer than Tia's wire.
Further explanation
Given:
Tia 's wire is 4m 8 cm ⇒ cut into 10 equal pieces
Marta's wire 540 cm ⇒ cut into 9 equal pieces
Question:
How much longer is one of Marta's wires then one of Tia's?
1. Tia's wire is in m and cm unit, so we can not divide it straightly into its equal pieces. First step, we are going to convert meter (m) to millimeter (mm):
Tia's wire = 4 m 8 cm
[tex]\boxed {1 m = 100 cm }[/tex]
[tex]\boxed {= (4 m \times \frac{100 cm}{ 1 m}) + 8 cm ) } \\\boxed {= 400 cm + 8 cm }\\\boxed {= 408 }[/tex]
2. Second step, calculate each pieces Tia's wire:
She cut this wire into 10 equal pieces:
[tex]\boxed {= \frac{408}{10} } \\\boxed {= 40.8 cm }[/tex]
Each piece of Tia's s ribbon is is 40.8 cm long
3. Third step, we are going to calculate Marta's wire:
She has 540 cm and cut it into 9 equal pieces
[tex]\boxed {= \frac{540 cm}{9} }[/tex]
[tex]\boxed {=60 cm }[/tex]
Each pieces Marta's wire is 60 cm long
4. Last step, find the difference between Tia's wire and Marta's:
[tex]\boxed {=60 cm -40.8 cm }\\\boxed {=19.2 cm }[/tex]
So, Marta's wire is 19.2 cm longer than Tia's wire
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Keywords: converting, conversion, dividing, subtraction, find the difference, converting meter to centimeter, converting unit of length
Which number is both a factor of 80 and a multiple of 4? Select three that apply.
A. 40
B. 1
C. 2
D. 8
E. 32
F. 16
A family has a monthly income of $3300 and plans to spend 11% of this amount on entertainment. How much will be spent on entertainment?
The value of the 8 in 8.4 is 100 times greater than the 8 in?
Final answer:
The 8 in the number 8.4 has a value that is 100 times greater than the 8 in the number 0.084. The first 8 represents 8 ones, while the second represents 8 hundredths.
Explanation:
The value of the 8 in 8.4 is 100 times greater than the 8 in 0.084. To understand why, let's remember that each position in a decimal number has a place value that is 10 times less than the place value to its left. For instance, in the number 8.4, the 8 is in the ones place, meaning its value is 8 ones or '8'. However, in the number 0.084, the 8 is in the hundredths place, so its value is 8 hundredths or '0.08'.
Therefore, when comparing the two eights, we see that:
The 8 in 8.4 equals 8 ones (8 × 1 = 8).
The 8 in 0.084 equals 8 hundredths (8 × 0.01 = 0.08).
To find a number whose 8 is worth 100 times less than the 8 in 8.4, we need the 8 to be two places to the right of the decimal point, which is the hundredths place. The number 0.084 satisfies this because 8 ones (the value of the 8 in 8.4) are 100 times greater than 8 hundredths (the value of the 8 in 0.084).
2/3×5/12=reduce lowest form
What is the 80th percentile for the average height of 10 men?
The length of each side of a square increases by 2.5 inches to form a new square with a perimeter of 70 inches. The length of each side of the original square was inches. NextReset
Answer:
The length of each side of the original square was [tex]15[/tex] inches
Step-by-step explanation:
Let
x------> the length side of the original square
we know that
The perimeter of a square is equal to
[tex]P=4b[/tex]
where
b is the length side of the square
In this problem
[tex]b=(x+2.5)\ in[/tex]
[tex]P=70\ in[/tex]
substitute
[tex]70=4(x+2.5)[/tex]
solve for x
[tex]70=4x+10[/tex]
[tex]4x=70-10[/tex]
[tex]x=60/4=15\ in[/tex]
It is claimed that in a bushel of peaches, less than 10% are defective. a sample of 400 peaches is examined and 50 are found to be defective. what is the critical value for α = 0.025?
Final answer:
To find the critical value for α = 0.025 in a one-tailed test, we look at the standard normal distribution tables; the critical value is approximately -1.96.
Explanation:
The question pertains to hypothesis testing in the context of proportion analysis. To determine the critical value for a significance level α = 0.025 in a one-tailed test about a proportion, we use the standard normal distribution (Z-distribution). Given that the sample size is large (n=400), it is appropriate to use a Z-test for this calculation. The critical value corresponds to the Z-score that has 0.025 of the distribution's area to its right (since we are checking for 'less than 10% defective').
Referring to standard normal (Z) distribution tables or using statistical software, we can find that the critical value for α = 0.025 for a one-tailed test is approximately -1.96. This is the Z-score such that the area under the normal curve to the right of this value is 0.025. If the calculated Z-score obtained from the sample proportion is less than -1.96, we would reject the null hypothesis that the proportion of defective peaches is less than 10%.
Find the inverse of each of the given functions.
f(x) = 4x − 12
f−1(x) = _x + _
f(x) = 4x − 12
f−1(x) =1/4 x + 3
The inverse of the function f(x) = 4x - 12 is f^-1(x) = (x + 12)/4.
Explanation:To find the inverse of the function f(x) = 4x - 12, we need to switch the roles of x and y and solve for y.
Step 1: Replace f(x) with y: y = 4x - 12.
Step 2: Swap x and y: x = 4y - 12.
Step 3: Solve for y: x + 12 = 4y.
Step 4: Divide both sides by 4: (x + 12)/4 = y.
Therefore, the inverse function is f-1(x) = (x + 12)/4.
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What is the slope of the line that passes through th epoints (26, 7) and (-39, 12)?
Answer:
m = (12 - 7) / (-39 - 26) = 5/(-65) = -1/13
Solve for n: a= p(1+nr)
the poster you are giving your friend is in a cardboard tube with a 2 in diameter and 26 in length. will a rectangular piece of wrapping paper that is 8 in by 28in completely cover the tube
Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither
(A) 6x+4x-6=24+9x
(B)25-4x=15 -3x+10-x
(C) 4x+8=2x+7 +2x-20
A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the directrix pass through?
What is the value of x in the solution to the following system of equations?
x − 2y = 2
3x + y = 6
To find the value of x in a system of equations, you can use the substitution or elimination method. In this case, x = 2 is the solution.
To find the value of x in the system of equations x − 2y = 2 and 3x + y = 6, we can use the method of substitution or elimination.
Substitution method:
From the second equation, y = 6 - 3x.Substitute y = 6 - 3x into the first equation: x - 2(6 - 3x) = 2.Solve for x: x - 12 + 6x = 2, 7x = 14, x = 2.Therefore, the value of x in the solution to the system of equations is x = 2.
A pitcher's arm rotates at a speed of 7 degrees per millisecond (degrees/ms)
At what speed does the pitcher's arm rotate in degrees/s?
To solve this problem, all we have to do is to use a conversion factor to convert millisecond into seconds. We know that there are 1000 milliseconds in a second, therefore:
pitcher’s arm rotation = 7 degrees / millisecond * (1000 milliseconds / second)
pitcher’s arm rotation = 7,000 degrees / second
Answer:
7000 Hope this helps and if it does remember to give me a like , please and thank you!