Answer:
35 :)
Step-by-step explanation:
Answer: 35
Step-by-step explanation:
D = Divide
M = Multiply
S = Subtract
B = Bring down
Find a coterminal angle between 0° and 360°.
21) 860°
help
A coterminal angle between 0° and 360° is 140°.
What is a coterminal angle?Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side.
Possible coterminal angles of 860° -
860 - 360 = 500°
500 - 360 = 140°
140 - 180 = -40°
Since, we are asked about a coterminal angle between 0° and 360°, the only angle is 140°.
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Ten times the sum of half a number x and 6 is 10
Answer:
2x+x2=10
Step-by-step explanation:
Answer:
x×6=10
Step-by-step explanation:
What’s the mean of 3 32 36 30 33 36
Answer:
Mean = 28.33
Step-by-step explanation:
Comment
You need two inputs. The first is the sum of the numbers and the second is the number of entries in the data.
Givens
Sum = 3 + 32 + 36 + 30 + 33 + 36
Number of entries = 6
Solution
Sum = 170
Mean = sum / number of enteries
Mean = 170 / 6
Mean = 28.33
The distance, y, in miles, that Taryn is from home after x hours of driving
is represented by y = 60 - 45x. Which two statements accurately
describe Taryn's distance from home?
(A) She started 45 miles from home
(B) Here, distance from home decreases by 60 miles per hour.
(C) Her distance from decreased by 45 miles per hour
(D) She started 60 miles from her home.
Answer:
(C) and (D) are correct.
You have $50 to buy T-shirts. You can buy 3 T-shirts for $24. Do you have enough money to buy 7 T-shirts? Justify your answer.
No , because 7 t shirts will cost 56 $ in linear equation.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
You have $50 to buy T-shirts.
You can buy 3 T-shirts for $24.
You can buy 1 T-shirts for = 24/3 = 8
then 3 + 3 = 6 = 24 + 24 = 48 + 8 = $56
so, you don't buy 7 t - shirts because you have only $56 .
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What exponential function can be used to determine the number of transistors in a car that doubles every TWO years? The number starts at 4100. For this function to work, we should be able to find the amount of transistors in a car after 5 years (or any odd number of years)
Answer:
\(f(t) = 4100( {2}^{ \frac{t}{2} }) \)
Question 5 (5 points)
What is the volume of the right prism?
35 in.
37 in.
12 in.
40 in.
The volume of the right prism include the following: 8,640 in³.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height or depth of a rectangular prism.Next, we would determine the area of the triangle at the base of the right prism as follows:
Base area = 1/2 × ( 36 × 12)
Base area = 1/2 × 432
Base area = 216 in².
Now, we can calculate the the volume of this right prism:
Volume = base area × height
Volume = 216 × 40
Volume = 8,640 in³.
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help with full calculations, please
Answer:
Step-by-step explanation:
8) B(x) = \(5^{x +1}\)
\(5^{x + 1} = 3125 \\\\5^{x +1} = 5^{5}\\\\\)
Compare the exponents,
x + 1 = 5
x = 5 - 1
x = 4
\(10)2^{x-4}=512\\\\2^{x -4} = 2^{9}\\\\\)
Compare exponents,
x - 4 = 9
x = 4 + 9
x = 13
Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) - 4/(2sqrt(6) -3)
Step-by-step explanation:
\( \tt \longrightarrow \dfrac{8}{2 \sqrt{6} + 3 } - \dfrac{4}{2 \sqrt{6} - 3 } \\ \\ \tt \longrightarrow \dfrac{8(2 \sqrt{6} - 3) - 4(2 \sqrt{6} + 3)}{(2 \sqrt{6} + 3)(2 \sqrt{6} - 3 ) } \\ \\ \tt \longrightarrow \dfrac{16\sqrt{6} - 24 - 8 \sqrt{6} - 12}{(2 \sqrt{6} ) {}^{2} - (3) {}^{2} } \\ \\ \tt \longrightarrow \dfrac{8\sqrt{6} - 36}{24 - 9 } \\ \\ \tt \green{\longrightarrow \dfrac{8\sqrt{6} - 36}{15 }} \)
please help:
given CDEF∼GHJK, find CF
Step-by-step explanation:
Set up a ratio
EF is to JK as CF is to GK
60/40 = CF/38
then 38 * 60/40 = CF = 57 units
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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In math, what does ab, a(b+c), and (a+b) (c+d) mean?
Answer:
ab means a multiplied by b, a(b+c) means add b and c together, then multiply by a, and (a+b)(c+d) means first add a and b
Step-by-step explanation:
ab means product, a(b+c) means product of a and sum of b & c and (a+b)(c+d) product of sum of a & b and c & d.
The result of multiplying two or more numbers together is the sum. The product of two or more numbers is what results from multiplication.
In mathematics, "ab" typically represents the product of two numbers, a and b.
"a(b+c)" represents the product of a and the sum of b and c, where a, b, and c are numbers.
"(a+b) (c+d)" represents the product of the sums of a and b and the sums of c and d.
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what is 2/10 wrote in a decimal.
Answer:
0.2
Step-by-step explanation:
beacuse the 2/10 thats the 2 in the tenth place on the place value chart
Answer:
0.2
Step-by-step explanation:
0.2 is 210 in decimal form. Convert decimal numbers into percentages by multiplying the decimal by 100. Remember to add the % symbol at the end of decimals converted to percentages
customers experiencing technical difficulty with their internet cable service may call an 800 number for technical support. it takes the technician between 30 seconds and 13 minutes to resolve the problem. the distribution of this support time follows the uniform distribution. a. what are the values for a and b in minutes? (do not round your intermediate calculations. round your answers to 1 decimal place.)
To find the values for a and b in minutes, we need to use the information given about the uniform distribution. We know that the technician takes between 30 seconds and 13 minutes to resolve the problem.
Given that the support time follows a uniform distribution and takes between 30 seconds and 13 minutes to resolve the problem, we can find the values of a and b as follows:
Step 1: Convert the time range to minutes
30 seconds = 0.5 minutes
13 minutes = 13 minutes
Step 2: Identify the values for a and b
In a uniform distribution, 'a' is the minimum value and 'b' is the maximum value.
So, a = 0.5 minutes and b = 13 minutes
The values for a and b in minutes are:
a = 0.5 minutes
b = 13.0 minutes
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a) Write 600 as the product of prime factors.
Give your answer in index form.
b) Work out the Highest Common Factor of 600 and 1050.
Answer:
a) 5² × 2³ × 3
b) 150
Step-by-step explanation:
HCF of 600 and 1050 = 150
5×5×2×3
Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.
Additional requirements in figure :-
Mark point :-
ABCDEDraw a straight line from E to AB .
And the point line joins mark it as "F" .
It will generate quadrilateral FBCD.
we get to know In quadrilateral left angle is 90°
How ?
{
proof :
As three angles are given 90° So third angle will also be 90°
Reason:
→ Sum of interior angles = 2 (no. of angles - 2 × 180°
→Sum of interior angles = (4-2 × 180°)
→Sum of interior angles = (2 × 180°)
→Sum of interior angles = 360°
}
✿Now let the left angle be x
90° +90° + 90° + x = 360° 180° + 90° + x = 360°270° + x = 360x = 360° - 270°x = 90°we know :
Area of rectangle = Length × Breadth
STEPS :
Area of rectangle = Length × BreadthArea of rectangle = 7 × 8Area of rectangle = 56 in²Now let's find EF :
EF = BD - ECEF = 7 - 4 EF = 3 inTo find A
F :
A•F = AB - CDA•F = 12 - 8A•F = 4 inIn triangle AFE:
EF is base of triangle A•F is height of triangleWe know :
Area of triangle =( Height × Base)/2
Steps :
Area of triangle = (Height × Base)/2Area of triangle = (4 × 3)/2Area of triangle = 12/2Area of triangle = 6 in²To find area of figure :
Area of figure = Area of rectangle + Area of triangleArea of figure = 56 + 6Area of figure = 62 in²______________________
~WindyMint
Answer:
\(\displaystyle 62\:in.^2\)
Step-by-step explanation:
▽ \(\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A\)
▯ \(\displaystyle hb = A\)
All edges meet at right angles, therefore resulting in this:
\(\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}\)
I am joyous to assist you at any time.
A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years. To the nearest whole number
Answer:
17000+3400 =
Step-by-step explanation:
Answer:
25,160
Step-by-step explanation:
ok if it grows 4% every year, 12 years later it will have grown 48%. so 48% of 17,000 is 8,160, so 17,000+8,160=25,160, so that is the population after 12 years.
true or false ? why and why not ?
8a - (8a - 8) is equivalent to 8
Answer:
True
Step-by-step explanation:
Apply the distributive property
8a-(8a)- -8
Multiply 8 by -1
8a-8a- -8
Multiply -1 by -8
8a-8a+8
Simplify by adding terms
Subtract 8a from 8a
0+8
Add 0 and 8
8
Hope this helps :)
Cos W =0.53
Does anybody know this
Answer:
58°
Step-by-step explanation:
Apply trig inverse properties
W = arccos(0.53)
W = 2\(\pi\) - arccos(0.53)
Please help ! I don’t understand:((
Answer:
4^6 / 5^6
Step-by-step explanation:
We know that (a/b) ^c = a^c / b^c
(4/5) ^6 = 4^6 / 5^6
=======================================================
Explanation:
The rule is
\(\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}\)
Basically we raise each part of the fraction to the outer exponent. In this case, a = 4, b = 5 and c = 6.
---------------------------------
The outer exponent c = 6 tells us how many copies of (a/b) we are multiplying together. So we are multiplying 6 copies of (4/5) together like so
\(\left(\frac{4}{5}\right)^6 = \left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)*\left(\frac{4}{5}\right)\\\\\left(\frac{4}{5}\right)^6 = \frac{4*4*4*4*4*4}{5*5*5*5*5}\\\\\left(\frac{4}{5}\right)^6 = \frac{4^6}{5^6}\\\)
For larger values of c, it's easiest to use the formula directly instead of expand things out like what is shown above. I recommend trying out small values of c such as c = 2 or c = 3.
Please Help!!! Geometry!
The correct missing statement and the reason is NP = NO + OP by Segment Addition Property
Given: MONP
Prove: MN = OP
The Segment Addition Property states that,
When three locations A, B, and C are on the same line and point B is located between points A and C, the length of the line segment AC is equal to the sum of the lengths of the three line segments AB and BC.
In mathematical notation, this property can be represented as:
AB + BC = AC
Statements Reasons
1. MO = NP 1. Given
2. MO = MN+ NO 2. Segment Addition Property
3. NP = NO + OP 3. Segment Addition Property
4. MN+NO = NO+ OP 4. Substitution Property
5. MN = OP 5. Subtraction Property of Equality
Hence the correct option is 2nd.
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Step 1: Add 7 to
x
.
Step 2: Multiply by 6
The final term after following the steps is ( 42 + 6x ).
We are provided with some steps that we have to follow to reach the final answer or expression. The steps we have to follow to reach the final answer or expression are mentioned below;
Step 1: Add 7 to x
In the first steps we need to add 7 to the x. Mathematically this can be written as,
7 + x
Step 2: Multiply by 6
In the second step we need to multiply the entire term obtained in step 1 by 6 . Mathematically this can be written as,
( 7 + x ) × 6
= 42 + 6x
Thus, the final term is ( 42 + 6x ).
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Chelsea shows her work in finding the solution to 4x−5=2 3(x−3). after checking her answer in the original equation, she found that it did not work. where did she make a mistake?
Chelsea made a mistake in simplifying the equation 3(x-3). To find the solution to 4x-5=2(3(x-3)), we first simplify the expression inside the parentheses.
Now, to isolate the variable x, we need to move the terms with x to one side of the equation. Let's subtract 4x from both sides, which gives us -5-4x=6x-18-4x. Simplifying this, we get -5-4x=2x-18.
Next, let's move the constant terms to the other side. Adding 18 to both sides, we get -5-4x+18=2x-18+18. Simplifying this, we get -4x+13=2x.
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Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.
Chelsea made a mistake in her work when finding the solution to the equation 4x - 5 = 2 3(x - 3). To determine where she went wrong, let's analyze her steps.
Step 1: Distribute 3 to (x - 3): 4x - 5 = 2 3x - 6.
Step 2: Combine like terms: 4x - 5 = 6x - 12.
Step 3: Move the variables to one side and the constants to the other side. Chelsea may have mistakenly subtracted 4x from both sides instead of 6x. This would result in: -5 = 2x - 12.
Step 4: Solve for x. Chelsea may have then incorrectly added 12 to both sides instead of adding 5, leading to: 7 = 2x.
Step 5: Divide both sides by 2: x = 7/2.
Upon reviewing her work, Chelsea should have subtracted 6x from both sides in Step 3, not 4x. This would have resulted in the equation 2x - 5 = -12. Correctly following the steps would lead to the correct solution: x = -7.
Therefore, Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.
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let k(x) be piecewise function such that k(x) = sinx/x if x ≠ 0, 0 if x=0. let h(x) = 1+x from domain (-infinity, 2), and also let h(x) = -1+x from domain [1, infinity)
what would be limit as x approaches 0 of k(x)-h(x)/k(x) ?
a 0
b 1
c 2
Answer:
a. 0
Step-by-step explanation:
You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.
LimitSince we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.
The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...
lim[x→0] (k(x) -1)/k(x)
The limit of k(x) as x → 0 is 1, so this becomes ...
lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0
Sin(x)/xAt x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...
lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1
The fact that k(0) = 0 is irrelevant with respect to this limit.
__
Additional comment
We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.
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Jerry has a bag of 4 black marbles, 8 white marbles, 5 blue marbles, and 6 red marbles.
What is the probability that Jerry will randomly choose a blue or red marble?
Answer:
11/23
Step-by-step explanation:
PLEASE HELP! I'm struggling on questions like this one. If you can please help on other questions but that's up to you! I will give brainliest I'm trying to get caught up on work. Here's a graph of a linear function. Write the equations that describes that function.
Answer:
y=3/2x+3
Step-by-step explanation:
the line hits the y-axis at 3 so b=3 and the change in y is up 3 and the change in x is to the right 2 so the change in y over the change in x is 3/2
A farmer decides to sell 25% of his 500 cows. How many cows does he
sells?
Shipping Company A charges $14 plus $2.25 a pound to ship overnight packages. Shipping Company B charges $20 plus $1.50 a pound to
ship an overnight package. For what weight is the charge the same for the two companies?
Let p represent the number of pounds. Select the correct values to write an equation to represent the situation
Answer:
8 pounds
Step-by-step explanation:
Shipping Company A = 14 + 2.25p
Shipping Company B = 20 + 1.50p
Where,
p = the number of pounds.
For what weight is the charge the same for the two companies
Equate the charges of the two companies
14 + 2.25p = 20 + 1.50p
14 - 20 = 1.50p - 2.25p
-6 = -0.75p
Divide both sides by -0.75
p = -6 / -0.75
= 8
p = 8 pounds
Find the length of the darkened arc. leave your answer in terms of
Answer:
a
Step-by-step explanation:
you can split nine into three
Answer:
The answer is A.
Step-by-step explanation:
You gotta split 9 into 3
Jacquelyn earns $60,000 each year at her job. She saves 25% of her income each year. She wants to purchase a house that needs a down-payment of $50,000. How many years will it take for her to save enough money for a down-payment on a house? (Enter your answer below, represented in years. Round any decimals to the nearest tenth.)
Answer: x = 3.3
Step-by-step explanation:
Based on the given conditions, formulate: 60,000 * 25% * x = 50,000
Multiply the monomials: 15000x = 50,000
Divide both sides of the equation by the coefficient of variable: x = 50,000
______
15,000
Cross out the common factor: x 10
3
Round the number: x = 3.3
Answer x = 3.3