Answer:
x=2
Step-by-step explanation:
Please help.
Find the volume of the rectangular prism. Pls no links!
Answer:
120 in ³
Step-by-step explanation:
Volume is
Length x width x height
4x10x3=120
Ken’s seventh grade class plans to collect empty aluminum pop cans as a fund raiser to buy two new books for the school library. The books will cost a total of $50.
a. If $0. 25 per pound is the current price for aluminum at the recycling center, how many pounds of empty cans will the class have to collect? (3 points) Work: Answer __________________
b. Six empty cans weigh about 3. 5 ounces. How many empty cans will the class have to collect to meet their quota of pounds? Round your answer to the nearest whole number. (3 points) Work: Answer __________________
a.) The number of pounds of empty cans needed by the class is 200 pounds.
b.) The number of empty cans needed by the class to collect are 5486 cans.
The books will cost a total amount of $ 50.
If $ 0.25 per pound is the current price for aluminium at the recycling centre, the number of pounds the class will have to collect is found by dividing the total amount needed by cost per pound is,
⇒ 50/0.25 = 200
b.) Six empty cans weigh 3.5 ounces.
1 pound = 16 ounces
200 pounds = 200 × 16 = 3200 number of ounces
3200/3.5 = 914.29
914.29 × 6 = 5485.7 cans ≈ 5486 cans
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Use the following statements to write a compound
statement for the disjunction -p or -q. Then find its truth
value.
p: There are 14 inches in 1 foot.
q: There are 3 feet in 1 yard.
The disjunction of -p or -q can be written as (-p) v (-q). So, we have to find the truth value of (-p) v (-q). So, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.
using the following statements: p: There are 14 inches in 1 foot.
q: There are 3 feet in 1 yard.
Solution: We know that 1 foot = 12 inches, which means that there are 14 inches in 1 foot can be written as 14 < 12. But this statement is false because 14 is not less than 12. Therefore, the negation of this statement is true, which gives us (-p) as true.
Now, we know that 1 yard = 3 feet, which means that there are 3 feet in 1 yard can be written as 3 > 1. This statement is true because 3 is greater than 1. Therefore, the negation of this statement is false, which gives us (-q) as false.
Now, we can use the values of (-p) and (-q) to find the truth value of (-p) v (-q) using the disjunction rule. The truth value of (-p) v (-q) is true if either (-p) or (-q) is true or both (-p) and (-q) are true. Since (-p) is true and (-q) is false, the disjunction of (-p) v (-q) is true. Hence, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.
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show algebraically the sum of two consecutive numbers is always odd
the sum of two odd integers will always be resulted in an odd digit.
What are odd numbers?Odd numbers are entire numbers that can't be isolated precisely into matches. Odd numbers, when separated by 2, leave a rest of 1. , 3, 5, , 9, 11, , 15 are consecutive odd numbers.
These are added together to get n + n+1, or 2n+1. Since +1 make it odd, 2n is even. Any two successive integer sums are hence odd. According to the solution is "2n + (2n + 1) = 4n +1."
Even numbers result from the addition of two fractions, but still only digits result from the addition of one odd number with one even number. In order to only receive an odd number, add one odd as well as one even.
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what is the x-coordinate of the first car location at 8:30 pm? give your answer to three decimal places.
Not enough information is provided to determine the x-coordinate.
To determine the x-coordinate of the first car location at 8:30 PM, we need more information about the specific context or scenario. The x-coordinate is typically used to represent the horizontal position of an object on a coordinate plane. Without knowing the initial position or any information about the movement or velocity of the car, it is not possible to determine the exact x-coordinate at a specific time.
If additional details are provided, such as the initial position of the car or any information related to its movement, we can use that information to calculate the x-coordinate at 8:30 PM. However, without any specific context or given data, it is not possible to provide a meaningful answer to this question.
Therefore, without further information, it is not possible to determine the x-coordinate of the first car location at 8:30 PM.
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q11 ANSWER FOR 20 POINTS
Answer: 15+0.65x=80
Step-by-step explanation:
The urface area of a cylinder i 24π m². The ditance around the bae of the cylinder i 3π meter and the diameter of a bae of the cylinder i 4 meter. What i the height of the cylinder? Enter your anwer, a a implified fraction, in the box
After solving, the height of the cylinder is 6 meters.
The surface area of a cylinder is 24π m².
The distance around the base of the cylinder is 3π meter.
The diameter of a base of the cylinder is 4 meter.
Now the radius of the cylinder = diameter/2
The radius of the cylinder = 4/2
The radius of the cylinder = 2 meter.
The formula of surface area of cylinder:
S = 2πrh
From the question:
2πrh = 24π
Now putting the value of r
2π × 2 × h = 24π
4πh = 24π
Divide by 4π on both side, we get
h = 6
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The complete question is:
The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.
PLEASEEEE HELP ME THIS IS LITERALLY SEVENTH GRADE ALGEBRA PLEASE
Question 5: Camila is going to
buy a digital camera that is at least $249. She has $24 and is
saving $15 each week. In how many weeks might she have enough money to purchase the
camera. Write and solve an inequality to represent the situation.
Answer:
Step-by-step explanation: w = weeks
15w + 24 = 249
15w = 249 - 24
15w = 225
w = 225 / 15
w = 15
with that information she can save fifteen dollars a week for 15 weeks and be able to buy the camera.
. A doughnut mix requires 3 cups of sugar for every 15 doughnuts. How much sugar is used per doughnut?
Answer:
45
Step-by-step explanation:
15x3=45
The table and equation below show the proportional relationship between time, in seconds, $x$ , and distance traveled, in feet, $y$ , for two remote-control cars. Car 1 $x$ $y$ $15$ $75$ $17$ $85$ $21$ $105$ Car 2y\ =\ 10x$ Which statement is true about the speeds of the two cars? A Car 1 is traveling faster than Car 2. B Car 2 is traveling faster than Car 1. C The two cars are traveling at the same speed.
Answer:$12$
Step-by-step explanation:
The table shows the total number of text messages that Ashley sent over 4 days. Write an equation to find the total number of messages sent in any number of days. Use the equation to find how many text messages Ashley would send in 30 days.
Answer:
1d=25m
30d=?
cross mutiply
30×25=750messages
Answer:
The equation is m = 25d
Ashley would send 750 text messages after 30 days.
Step-by-step explanation:
The equation is y = mx + b
We see that each day the number of text increase by 25, so our equation is
m = 25d
Now we ask how many text messages Ashley would send in 30 days. We need to put 30 in for d and solve it.
m = 25(30)
m = 750 text messages
So, Ashley would send 750 text messages in 30 days.
a glass jar contain 1 red 3 green 2 blue and 4 yellow marbles.if single marble is chosen at random from the jar what is the probability that it is yellow or green?
The probability that a single marble chosen at random from the jar is yellow or green is 7/10, or 0.7.
The probability that a single marble chosen at random from the jar is yellow or green can be found by adding the probability of choosing a yellow marble to the probability of choosing a green marble.
There are a total of 1 + 3 + 2 + 4 = 10 marbles in the jar. The probability of choosing a yellow marble is 4/10 = 2/5, and the probability of choosing a green marble is 3/10. Therefore, the probability of choosing a yellow or green marble is:
P(yellow or green) = P(yellow) + P(green) = 4/10 + 3/10 = 7/10
So the probability that a single marble chosen at random from the jar is yellow or green is 7/10, or 0.7.
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Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be
used to find the number of tickets sold in advance?
800-8 100
O 35--8" 4.375
O
100-8 12.5
800-8100
35x8 280
800X8 6400
O
35x8 280
100x8800
Answer:
35% of 800
35% = 0.35
0.35 × 800 = 280
Your answer is 280 tickets ; 0.35 × 800
PLS HELP I WILL MARK BRAINLIST AND GIVE THANKS!!
Answer:
25(7)=175
Step-by-step explanation:
hope this help :3
it took mr. walsh 10 minutes to drive from his house to the store. he shopped for 28 minutes. then it took him 10 minutes to drive home. he arrived home at 4:30. which clock shows the time mr. walsh left his house to go to the store?
The clock that shows the time Mr. Walsh left his house to go to the store would be 3:42 pm.
Mr. Walsh's journey consisted of driving from his house to the store, shopping for 28 minutes, and then driving back home. The total time for his journey would be:
10 minutes (driving to the store) + 28 minutes (shopping) + 10 minutes (driving back home) = 48 minutes
If Mr. Walsh arrived home at 4:30 pm, and we subtract the 48 minutes it took for his entire journey, we can determine the time he left his house to go to the store:
4:30 pm - 48 minutes = 3:42 pm
Therefore, the clock that shows the time Mr. Walsh left his house to go to the store would be 3:42 pm.
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by observing a set of data values, thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ
A person weighing 173 pounds can burn 10.7 calories per minute.
The given equation is ŷ=2.2+0.05x.
To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.
y = 2.2 + 0.05x
y = 2.2 + 0.05 × 173
y = 10.7
Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.
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"Your question is incomplete, probably the complete question/missing part is:"
By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x
Based on the information gathered by Thomas, select the statement that is true.
a) A person weighing 149 pounds can burn 9.8 calories per minute.
b) A person weighing 134 pounds can burn 8.9 calories per minute.
c) A person weighing 125 pounds can burn 8.3 calories per minute.
d) A person weighing 173 pounds can burn 10.7 calories per minute.
Answer:
A person weighing 134 pounds can burn 8.9 calories a minute.
Step-by-step explanation:
If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50.
true or false
Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.
ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.
ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.
We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ=32.4ft and σ=89.8ft. You intend to measure a random sample of n=191 trees. What is the mean of the distribution of sample means?
A probability distribution is a mathematical function that describes the likelihood of different outcomes occurring in an uncertain or random event.
The mean of the distribution of sample means is 32.4 ft.
When we take multiple random samples from a population, each sample will have its own mean. The distribution of these sample means is called the sampling distribution. The mean of the sampling distribution of sample means is equal to the population mean. This property is known as the Central Limit Theorem.
In this case, we are assuming that the height of the trees follows a normal distribution with a population mean (μ) of 32.4 ft and a population standard deviation (σ) of 89.8 ft.
When we measure a random sample of 191 trees, we calculate the mean of that sample. We repeat this process multiple times, each time taking a different random sample of 191 trees. The distribution of these sample means will follow a normal distribution, with the mean equal to the population mean.
The mean of the distribution of sample means, also known as the sample mean, is equal to the population mean.
In this case, the population mean is μ = 32.4 ft.
Since the sample mean is equal to the population mean, the mean of the distribution of sample means is also 32.4 ft. This implies that, on average, the heights of the random samples of 191 trees will be centered around 32.4 ft.
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Find the missing number,
5/6 + _ = 1
3/6
5/6
1/6
2/6
Answer:
The answer is 1/6.
Step-by-step explanation:
5/6+1/6= 6/6 or 1
Jerry started doing sit-ups every day. The first day he did 19 sit-ups. Every day after that he did 4 more sit-
ups than he had done the previous day. Today Jerry did 81 sit-ups. Write an equation that could be solved
to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the
number of days.
An equation that can help Jerry to find the number of days he has been dolng sit-ups is given by
Answer:
81 - 19 = 62 ÷ 4 = 15.5 days (?)
-1\dfrac{60}{100} + 0.1 + \dfrac{1}{4} =−1 100 60 +0.1+ 4 1
Answer: Your question doesn't make any sense
Step-by-step explanation:
PLS HELP WILL GIVE 5 STAR AND THE CROWN THING
Factor the expression completely. 54 – 24x
Answer:
6(9-4x)
Step-by-step explanation:
Factor 6 out of 54-24x, or group and factor out the GCF. Hope this helps!
Graph the line with slope of -2 and y-intercept of -3.
Answer:
I need a picture in order to do this haha
10 less than a number is more than 30 in a inequity
Answer:
we'll call "a number" x
10 less than that is: x-10
10 less than that is: x-1010 less than a number is more than 30: x-10 > 30
10 less than that is: x-1010 less than a number is more than 30: x-10 > 30we can solve for x as well: x > 40
Step-by-step explanation:
hope it will help you have a great day bye and Mark brainlist if the answer is correct
\(kai6417\)
#carry on learning
Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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Help!
I need help, I don’t understand
Answer:
Well if the total equals 180-degrees you have to make an assumption or let someone smarter just do it for you. also that box means it's a 90-degree angle so the rest is cut in half; what times three and seven would equal to 90-degrees? I can't do much anymore my brain hurts lol
Step-by-step explanation:
Hope this helps :)
Question 16
SALARY Sondra just started a job with an annual salary of $45,000. Each year, her salary will increase by 7%. If Sondra continues to work at
this job, what will be her total earnings in the first 4 years, rounded to the nearest dollar?
OA) $48,359
OB) $58,986
OC) $199,797
OD) $213,783
The solution is Option C.
The total amount of earnings of Sondra after 5 years is $ 169,113
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the annual salary of Sandra be A = $ 30,000
Now , the percentage increase in salary = 6 %
So , the equation will be
First year :
The increase in first year = annual salary of Sandra + percentage increase in salary x annual salary of Sandra
The increase in first year = 30000 + ( 6/100 ) x 30000
= 30000 + 1800
= $ 31,800
Second year :
The increase in second year = increase in first year + percentage increase in salary x increase in first year
The increase in second year = 31800 + ( 6/100 ) x 31800
= 31800 + 1908
= $ 33,708
Third year :
The increase in third year = increase in second year + percentage increase in salary x increase in second year
The increase in third year = 33708 + ( 6/100 ) x 33708
= 33708 + 2022.48
= $ 35,730.48
Fourth year :
The increase in fourth year = increase in third year + percentage increase in salary x increase in third year
The increase in fourth year = 35730.48 + ( 6/100 ) x 35730.48
= 35730.48 + 2143.8288
= $ 37,874.3088
Now , the equation is
The total earnings of Sondra is = First year salary + second year salary + third year salary + fourth year salary
The total earnings of Sondra is = 30000 + 31,800 + 33,708 + 35,730.48 + 37,874.3088
The total amount earnings of Sondra is = $ 169,112.7888
Therefore , the total amount earnings = $ 169,113
Hence , The total amount of earnings of Sondra after 5 years is $ 169,113
Answer:
C) $199,797
Step-by-step explanation:
Adding 7% of a number to the number is the same as multiplying the number by 1.07
First year: $45,000
Second year: $45,000 × 1.07 = $48,150
Third year: $48,150 × 1.07 = $51,520.50
Fourth year: $51,520.50 × 1.07 = $55,126.94
Total = $199,797.43
Answer: C) $199,797
A farmer harvests 850kg of parsnips.30% go to the local market and 50% go to a local supermarket.What mass of parsnips are left?
Answer:
170 kg. of parsnips are left
Step-by-step explanation:
Given:
850 kg. of parsnips
30 % to the local market
50 % to a local supermarket
Solution:
First, add the two percentages.
30 + 50 = 80%
That means 80 % of parsnips mass go to the markets.
Now let's find the mass of delivered parsnips.
Change 80% to decimal form.
80% = 0.8
Now multiply it by 850 kg.
850 x 0.8 = 680
The delivered parsnips mass is 680 kg.
Now to find the mass of parsnips left, subtract 680 to 850
850 - 680 = 170 kg.
170kg. of parsnips are left.
browser choices of 85 students in a class are being studied. 45 students use chrome, 40 students use safari, and 35 students use internet explorer. 20 students use only chrome, 15 students use only safari, and 15 students use only internet explorer. if none use all three browsers, how many use none of these 3 browsers?
the number of students who use none of the three browsers is the difference between the total number of students in the class (85) and the number of students who use at least one of the three browsers: 85 - 100 = 10.
From the given information, we know that 20 students use only Chrome, 15 students use only Safari, and 15 students use only Internet Explorer. Since none of the students use all three browsers, the number of students using only one browser is 20 + 15 + 15 = 50.
Now, let's calculate the number of students who use multiple browsers. The total number of students using Chrome is 45, and 20 of them use only Chrome. Therefore, the number of students using Chrome along with other browsers is 45 - 20 = 25. Similarly, the number of students using Safari or Internet Explorer along with other browsers is also 25.
To find the number of students who use at least one of the three browsers we will use principle of inclusion-exclusion formula, we add the number of students using only one browser and the number of students using multiple browsers: 50 + 25 + 25 = 100.
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