Answer:
0.4Step-by-step explanation:
To convert a fraction into a decimal, first convert the fraction into a percentage by multiplying it by 100. Then, divide it by 100 to get your decimal.
=> 4/10 x 100=> 40Now, divide it by 100 to get your decimal.
=> 40 ÷ 100=> 0.4Hence, 0.4 is equivalent to 4/10
A 9-inch candle burns down in 12 hours. At what rate does the candle burn, in inches per hour?
(Pls help)
Answer: 0.75 inches per hour
Step-by-step explanation:
9/12=0.75
0.75 x 12 = 9
0.75 inches per hour
Answer: 4.5 hours.
Step-by-step explanation:
Use a proportion.
3 3/8 = 3.375
9 inch is to 12 hours as 3.75 inches is to x hours.
9/12 = 3.375/x
3/4 = 3.375/x
3x = 4 * 3.375
x = 4 * 1.125
x = 4.5
Answer: 4.5 hours
For number 9 and 10 what do I put for the distance between the points?
Answer:
I have wrote just answers
When using a number line, in which direction should you move when subtracting a negative value?
Answer:
LEFT
Step-by-step explanation:
Answer:
Move to the right when you're subtracting a negative number.
assuming no employees are subject to ceilings for their earnings, calculate salaries payable and employer payroll tax expense.
Assuming no employees are subject to ceilings for their earnings IS $7,450
The computation of Salaries Payable is shown below:-
Gross Payroll $10,000
Less:
Federal income tax withheld $1,800
Social security rate at 6% -$600
Medicare rate at 1.5% -$150
Total deduction -$2,550
Salary Payable $7,450
We simply deduct three above taxes from the gross payroll so that we get to know for the salary payable amount
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Find the area of the triangle.
Answer: 6
Step-by-step explanation:
\(\frac{b*h}{2}\)
b=4
h=3
12/2
6
3/8 + 1/8 - 1/3 + 1/4=
Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Increase £50 by 60% anyone can help me?
HELP ME QUICK!!! ILL MARK U BRAINLIEST!!
what is the area of this figure?
Answer:
227
Step-by-step explanation:
1. m = -2; b=5
Write an equation in slope-intercept form
Answer:
y=-2x+5
Step-by-step explanation:
Slope-intercept form is y=mx+b
Find the volume of a triangular prisim with the following dimensions.
Base= 5
Height= 3
Length= 8
Answer:
60³
Step-by-step explanation:
Hi again.
This time we are working with a triangular prism which is a bit trickier than a rectangular prism but it is still pretty easy once you know the formula.
The formula for a triangular prism is :
V = 1/2 x b x h x l
Or in full terms :
Volume = 1/2 x Base x Height x Length
So basically we are going to plug in the base , height, and width like we did before but this time at the end we are going to divide it in half.
So like last time, lets look at what we are given :
Base = 5
Height = 3
Length = 8
And now we put these numbers into the formula :
Volume = 1/2 x Base x Height x Length
Volume = 1/2 x 5 x 3 x 8
Lets save the 1/2 for last and do the others first.
So we can do 5 x 3 and get 15.
Then 15 x 8 and we get 120.
Now the equation is literally :
Volume = 1/2 x 120
(This is the same as 120 / 2 just in multiplication terms)
So lets do this :
120 / 2
=
60
So now we have your answer :
Volume = 60³
(Don't forget the little 3)
Again, I hope this helps!
Any questions or concerns please comment or message me ofc :)
Dylan is conducting an experiment and wants to choose the ball with the lowest density.
Ball A = diameter 7cm, mass 1.742kg
Ball B = diameter 6cm, mass 1.040kg
4
Volume of sphere =
3 773
Density
= mass = volume
TT = 3.142
Which ball should he choose?
Dylan should choose Ball B which having lowest density.
What is volume of spere?
The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.
Given that:
Ball A = diameter 7cm, mass 1.742kg
Ball B = diameter 6cm, mass 1.040kg
As we know that,
volume of a sphere =4/3πr³
1) For Ball A,
volume of a Ball A = 4/3π(3.5)³
volume of a Ball A = 179.6 cm³
given mass for Ball A is 1.742 kg = 1742 g.
So, Density = \(\frac{mass}{volume}\)
Density of Ball A will be 9.7 g/cm³.
2) For Ball B,
volume of a Ball B = 4/3π(3)³
volume of a Ball B = 113.11 cm³
given mass for Ball B is 1.040 kg = 1O40 g.
So, Density = \(\frac{mass}{volume}\)
Density of Ball B will be 9.19 g/cm³.
By comparing density of both balls,
Density of Ball A > Density of Ball B
Hence, Dylan should choose Ball B which having lowest density.
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lender requires a minimum down payment of 18% of the value of the home. You have $29,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
The maximum home value that can be financed is approximately $35,365.85.
Let's represent the maximum home value that can be financed by H.
If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.
Therefore, we have:
H × 82% = $29,000
Multiplying both sides by (1/82%), we get:
H = $29,000 / 82%
= $35,365.85
Hence, the maximum home value that can be financed is approximately $35,365.85.
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List the first 9 terms of the sequence defined recursively by Sn = Sn-2. (Sn-1 - 1), with S1 = 2 and
S2 = 3
Looking for help wit question 2.
Answer:
• (1)2, 3, 4, 9, 32, 279, 8896, 241,705, and 22,077,238,784
,• (2)2,490,930
• (3)Neither
Explanation:
Given a sequence defined recursively as follows:
\(\begin{gathered} s_n=s_{n-2}\cdot\left(s_{n-1}-1\right) \\ \begin{equation*} s_1=2 \end{equation*} \\ s_2=3 \end{gathered}\)Part 1
First, we find the first 9 terms of the sequence.
\(\begin{gathered} s_3=s_{3-2}(s_{3-1}-1)=s_1(s_2-1)=2(3-1)=2\times2=4 \\ s_4=s_{4-2}(s_{4-1}-1)=s_2(s_3-1)=3(4-1)=3\times3=9 \\ s_5=s_{5-2}(s_{5-1}-1)=s_3(s_4-1)=4(9-1)=4\times8=32 \\ s_6=s_{6-2}(s_{6-1}-1)=s_4(s_5-1)=9(32-1)=9\times31=279 \end{gathered}\)\(\begin{gathered} s_7=s_{7-2}(s_{7-1}-1)=s_5(s_6-1)=32(279-1)=32\times278=8896 \\ s_8=s_{8-2}(s_{8-1}-1)=s_6(s_7-1)=279(8896-1)=2,481,705 \\ s_9=s_{9-2}(s_{9-1}-1)=s_7(s_8-1)=8896(2,481,705-1)=22,077,238,784 \end{gathered}\)The first 9 terms of the sequence are:
\(2,3,4,9,32,279,8896,241,705,\text{ and }22,077,238,784\)Part 2
Next, find the sum of the first 8 terms:
\(\begin{gathered} \sum_{k=1}^8S_k=s_1+s_2+\cdots+s_8 \\ =2+3+4+9+32+279+8896+2481705 \\ =2,490,930 \end{gathered}\)The sum of the first 8 terms of the sequence is 2,490,930.
Part 3
The sequence is neither arithmetic nor geometric.
Find theValue of x
40°
70°
(5x+10)°
Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.
therefore,\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)
Value of x = 20°
Hey! there . Thanks for your question :)
Answer:
20° is the correct answer.Step-by-step explanation:
In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.
Solution :-
For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :
Step 1: Making equation :
\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)
Solving :
\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)
Step 2: Subtracting 10 on both sides :
\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)
We get ,
\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)
Step 3: Dividing both sides by 5 :
\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)
On cancelling , we get :
\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)
Therefore , value of x is '20°'Verification :-
For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :
40° + 70° = 5(20°) + 10°110° = 100° + 10°110° = 110°L.H.S = R.H.STherefore , our answer is correct .
Hope , it'll help you! :)#\( \underline{ \sf{ \bold{ Keep \: Learning }}}\)17. The table shows the record high and
record low temperatures for certain U.S.
states. Which state in the list had the
greatest variation in temperature? the
least?
Utah, nevada
State
Alaska
Idaho
Nevada
Utah
Record High
Temperature (°F)
100
118
125
117
Record Low
Temperature (
-80
-60
-50
-69
The highest variation in the temperature if found for Utah.
What is defined as the temperature variation?Temperature is the degree to which an object is hot or cold.In weather forecasting, daily temperature variation refers to the difference between a high and a low air temperature on the same day.There are many factors that contribute to temperature variations in the atmosphere. Temperature fluctuations are caused by four natural factors: latitude, altitude, location from the sea, as well as ocean currents.For the given question;
The maximum and minimum temperatures of the U.S states are given;
The variation in temperature is found by;
Temperature variation = Maximum temperature - Minimum temperature
Alaska = 100 - (-80) = 180
Idaho = 118 - (- 60) = 160
Nevada = 125 - (-50) = 175
Utah = 117 - (-69) = 186
Thus, the highest variation in the temperature if found for Utah.
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Sadie brought $28.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Sadie had $3.00 leftover after buying these items. What was the cost of each item?
Answer:
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Step-by-step explanation:
Let the cost of paint set is s.
cost of sketch book = s/2
cost of brush = s/3
Money spent = $ 28 - $ 3 = $ 25
So,
s + s/2 + s/3 = 25
6 s + 3 s + 2 s = 150
11 s = 150
s = $ 13.64
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
-1/4 ÷ -3/8
Please Hurry
Answer:
2 /3 (decimal form ≅ 0.6666667 )
Step-by-step explanation:
Unary minus: -1 /4
= -1 /4
Unary minus: -3 /8
= -3 /8
Divide: the result of step No. 1 : the result of step No. 2 = -1 /4 : (-3 /8 ) =
-1 /4 x -8 /3 = -1 (-8) divided by 4(3) = 8 /12 = 4(2 ) divided by 4(3) = 2 /3
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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Dividing fractions word problems, please help I need it........
Answer:
25
Step-by-step explanation:
l x w = h
25 x 7.2 = 180
a circle has a radius of 3m. find the length s of the arc intercepted by a central angle of 2pi/3 radians
Answer:?
Step-by-step explanation:
I need help with my math
In the equation
\(y=mx+b\)m is the slope.
The cost C, in dollars, of renting a minivan for a day is given by the linear equation C = 0.3x + 42, where x is number of miles driven.
Find the cost renting the minivan for a day and driving it 150 miles. (2 pt)
Find and interpret the slope of this equation. (2 pt)
Find and interpret the y intercept of this equation(2 pt)
Answer:
$87
The slope is .3
The y-intercept is 42
Step-by-step explanation:
150(.3)=45
45+42=87
Which choice is a solution to this system of equations? -x=y-4 y=4x+9
The solution to the system of equations is x = 5.4 and y = -1.4
How to determine the solution to the system of equations?From the question, we have the following parameters that can be used in our computation:
-x=y-4 y=4x+9
So, we have
-x = y - 4
y = 4x + 9
Rewrite the equation as
x = -y + 4
y = 4x + 9
So, we have
y = 4(-y + 4) + 9
Open the bracket and evaluate
5y = 9 - 16
So, we have
y = -1.4
Recall that
x = -y + 4
So, we have
x = 1.4 + 4
Evaluate
x = 5.4
Hence, the solution is x = 5.4 and y = -1.4
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Name the coefficents, like terms, and constant.
1. 5m +6m2n - 23 +9m2n
2 Simplify the above expression
3 5(x + 9)
4 -3 (2x + 3 ) -7x
5 -6 (3p - 4)
PLEASE HELP I NEED TO TURN THIS IN 10 MINUTES SOMEONE PLEASE HELP PLEASE put 1. 2. 3. ON THE ANSWERS PLEASE I BEG YOU ILL VENMO YOU AFTER YOU HELP!
Find the slope of the line that contains (5, -4) and (-9, 8)
I'll give Brainliest to the right answer!
Answer: m = \(- \frac{6}{7}\)
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show math pls!!!)
I would rlly appreciate it if y’all help me! :)
Answer:
10√5 - 5√2
or
5(2√5 - √2)
Step-by-step explanation:
Given:
2√5(5 - 5√5)
Required:
Multiply and simplify
Solution:
2√5(5 - 5√5)
Apply distributive property by multiplying each term in the bracket by 2√5
2√5*5 - 2√5*5√5
2*5√5 - 2*5√5*√5
10√5 - 10√25
10√5 - 10*5
10√5 - 50
10√5 - (25*2)
10√5 - 5√2
Or
5(2√5 - √2)
according to a recent pew research center report, many american adults have made money by selling something online. in a random sample of 4579 american adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met. construct a 98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year.
As per the 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year is (0.1859,0.2133).
Confidence interval:
In statistics, confidence interval is an estimate of an interval in statistics that may contain a population parameter.
Given,
According to a recent pew research center report, many American adults have made money by selling something online. in a random sample of 4579 American adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met.
Here we need to construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year.
As per the given question, the value of
Confidence interval = 98%
Number of samples = 4579
Reported numbers = 914
Therefore, the number of failure is calculated as,
=> 4579 - 914
=> 3665
Here the sample proportion is the number of successes divided by the sample size:
=> 941/4579
=> 0.1996
Here for confidence level 1 − α = 0.98,
We have to determine zα / 2 = z0.01 using the normal probability table in the appendix, we get
zα/2 = 2.33
Then the margin of error is calculated as,
E = 2.33 x √[0.1996 x (1 - 0.1996)]/4579
E = 0.0137
Then the boundaries of the confidence interval are then:
p⁻ˣ = 0.1996−0.0137 = 0.1859
p⁺ˣ = 0.1996+0.0137 = 0.2133
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Which event is least likely to occur?
Rolling a number greater than or equal to 4 on a twelve-sided die, numbered from 1 to 12.
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
Winning a raffle that sold a total of 100 tickets, if you buy 37 tickets.
Reaching into a bag full of 6 strawberry chews and 74 cherry chews without looking and pulling out a strawberry chew
The event of "Reaching into a bag full of 6 strawberry chews and 74 cherry chews without looking and pulling out a strawberry chew" is least likely to happen.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes
Given events,
A) On a twelve-sided die, numbered from 1 to 12.
Total numbers = 12
Numbers greater or equal to 4 are
4, 5, 6, 7, 8, 9, 10, 11, 12
Total numbers greater or equal to 4 = 9
Probability of rolling a number greater than or equal to 4.
= 9/12 = 3/4
B) A spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
Probability = 1/4 + 1/4 + 1/4 + 1/4 = 1
C) Winning a raffle that sold a total of 100 tickets, if you buy 37 tickets.
Probability = 37/100
D) Reaching into a bag full of 6 strawberry chews and 74 cherry chews without looking and pulling out a strawberry chew.
Total chews = 74+6 = 80
Probability = 6/80
Among all probability lowest probability is 6/80.
Hence, least likely to occur event is
Reaching into a bag full of 6 strawberry chews and 74 cherry chews without looking and pulling out a strawberry chew.
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A taxi company uses the function f(x) = 0.45x + 3.50 to determine the cost to take a taxi x miles. What is the meaning of the coefficient of x?
A taxi company uses the function f(x) = 0.45x + 3.50 to determine the cost to take a taxi x miles. What is the meaning of the coefficient of x?