Answer:
y=5x-3
Step-by-step explanation:
Which of the following is equivalent to x3−5x2−26x+120?
A x+4)(x2−6x+30)
B (x+3)(x2−8x+40)
C (x+6)(x2−4x+20)
D (x+5)(x2−10x+24)
Please help!
Answer:
D.
Step-by-step explanation:
please help me
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.14 for PI
Radius 2
Height 5
Answer:
The answer is 62.83
Step-by-step explanation: Just do 3.14 times 2 squared or 4 they are the same thing in this context then multiply 5 because that's your height.
It has been announced that 64% of all teenagers say they have a television in their bedroom. These findings came from a simple random sample of 1,000 teens. The standard error estimated from this sample was 1.5%
1. Which of the following is the best estimate of the 85% confidence interval for the proportion of teenagers who say that they have a TV set in their bedroom ?
A. 59.5% to 68.5%. C. 62.5% to 65.5%
B. 61% to 67% D. 64% to 100%
Answer:
D
Step-by-step explanation:
10. Mark built a fence around his clubhouse. The perimeter of the fence is 80 feet. The
width of the fence is 15 feet. What is the length of the fence?
Explain your answer.
P = 70 feet
15 feet
? feet
----------------------------------------------------
Answer:
if the clubhouse is 4 sided then the length would be 25 ft
Step-by-step explanation:
15x2=30
80-30=50
50/2=25
Estimate the size of a crowd at an airshow that occupies a rectangular space with dimensions of 500 feet by 750 feet (to the nearest whole number).
Assume that each person occupies 9 square feet.
A) 10,417 people
B) 20,833 people
C) 41,667 people
D) 83,333 people
Answer:
C. 41667 people
Step-by-step explanation:
750 * 500 = 375000 / 9 = 41666.666 = 41667
the answer is c.) 41,667 people
A bag contains 12 marbles: 5 red, 3 blue and 4 green. If two marbles are pulled from the bag consecutively and no replacement occurs, what is the probability of pulling a blue marble followed by another blue marble?
Answer:
3/12
Step-by-step explanation:
sorry if this is wrong I'm not an expert at math
Started at 0 degrees and rose 2 degrees each minute
What is the equivalent measure of 78 centiliters in milliliters?
Answer:
780 milliliters
Step-by-step explanation:
Recall,
1 centiliter = 10 milliliters
So, 78 centiliters = 78 * 10 milliliters
= 780 milliliters
A garden table and a bench cost $988 combined. The garden table costs $88 more than the bench. What is the cost of the bench?
Answer:
the total cost for the bench and the table minus the cost of the garden table which is $988 - 88 =900
Abraham just accepted a new job at consulting firm that pays $47,500 during the first year, with an annual increase of 7% per year beginning in the second year. What can Abraham expect to earn in his fifth anniversary with the consulting firm? Round your answer to the nearest dollar
Answer:
64,125 I think
Step-by-step explanation:
7%x 5 years =35%
35% of 47, 500 is 16625
16625 + 47,500=64,125
Answer:
about $66,621
Step-by-step explanation:
Since its an increase in salary, we want 0.07+1 = 1.07 (if he was losing his salary, it instead would be 0.07-1, but that's not the case here)
Then we plug it in as 47,500(1.07)^x
he's expecting what would he get in his fifth year at the firm. So let's set x = 5.
47,500(1.07)^5 = $66,621.20721 or ≈ $66,621 to the nearest dollar.
Note: This is how I'm doing it in High School. So if this is incorrect, I'm sorry.
James is interested in the relationship between weather conditions and whether the downtown train runs on time. For a year, James records the weather each day as well as whether this train arrives on time or is delayed. Here are his results:
Weather condition On-time Delayed Total
Sunny 167167167 333 170170170
Cloudy 115115115 555 120120120
Rainy 404040 151515 555555
Snowy 888 121212 202020
Total 330330330 353535 365365365
Find the marginal distribution of arrival status in percentages.
Round to the nearest whole percent.
On-time:
\%%percent
Delayed:
\%%percent
Stuck?Use a hint.
Using proportions, it is found that the marginal distribution is:
90% of the flights were on time.10% of the flights were delayed.---------------------------
In total, there were 170 + 120 + 55 + 20 = 365 flights.Of those, 167 + 115 + 40 + 8 = 330 on time. The percentage on time is:[tex]P = \frac{330}{365} \times 100\% = 90\%[/tex]
90% on time, and the rest, that is, 100% - 90% = 10% were delayed, and the marginal distribution is described by these percentages.A similar problem is given at https://brainly.com/question/24372153
The marginal distribution of train arrival status shows that approximately 90% of the time the train is on-time and 10% of the time it is delayed. This is calculated by taking the frequency of each arrival status and expressing it as a percentage of the total number of days recorded by James.
James has been keeping track of the relationship between weather conditions and whether the downtown train runs on time.
To find the marginal distribution of train arrival status in percentages, we need to see the frequency of on-time and delayed trains irrespective of the weather conditions and then express these frequencies as a percentage of the total number of days recorded.
To calculate the on-time percentage:
Total on-time occurrences: 330Total recordings: 365On-time percentage = (Total on-time occurrences / Total recordings) x 100On-time percentage = (330 / 365) x 100 ≈ 90%To calculate the delayed percentage:
Total delayed occurrences: 35Delayed percentage = (Total delayed occurrences / Total recordings) x 100Delayed percentage = (35 / 365) x 100 ≈ 10%Therefore, the marginal distribution of arrival status is approximately 90% on-time and 10% delayed.
The Smiths spend 6% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $2,580 on entertainment. What was their total budget last year?
Answer: Their total budget last year was $40,000.
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.
Please help.....………………
Answer:
50
Step-by-step explanation:
The sum of the angles of a triangle is 180
A +B +C = 180
90 +4x+ 7x-20 =180
Combine like terms
70+ 11x = 180
Subtract 70 from each side
70-70+11x = 180-70
11x=110
Divide each side by 11
11x/11= 110/11
x = 10
We want to find angle C
C = 7x-20
= 7*10-20
= 70-20
= 50
Answer:
50°
Step-by-step explanation:
7x - 20 + 4x + 90 = 180
11x = 180 - 70
11x = 110
x = 10
ACB: 7(10) - 20 = 50
Brian tied a 136-foot rope around the perimeter of his rectangular house. He knows that the length of the house is 10 feet less than twice the width. Find the dimensions of Brian’s house.
Answer:
length 42 cm and width 26 cm
Step-by-step explanation:
Given
Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.
Given that shape of house is rectangular.
formula to calculate perimeter of rectangle can be used which is 2*(L+B)
where L is length of rectangle and B width of rectangle
Let the L and B be length of rectangular side of house
According to question
length of house is 10 feet less than twice the width of house
mathematically it can be represented as
L = 2*B - 10 --->eq. 1
Perimeter of house = 136 feet
using formula of Perimeter of rectangle
136 = 2*(L+B)
substituting the value of length in terms of width from eq. 1 in formula of perimeter
=> 136/2 = 2*B - 10 + B (2*B+ B = 3B)
=> 68 = 3*B - 10
=> 78 = 3*B
B = 78/3 = 26
Therefore B which is width = 26 CM
length = 2*B - 10= 26*2 - 10 = 52-10=42
length of house = 42 cm
Hence dimension of Brian's house is length 42 cm and width 26 cm
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Calculator
The following dot plot summarizes the distance Roger ran in each of his tennis matches last month. Each dot
represents one game.
Number of kilometers
BI83
Based on this data, what is a reasonable estimate of the probability that Roger runs less than 5 km in his next
tennis match?
Choose the best answer.
Choose 1 answer:
©
22%
Answer: 33%
Step-by-step explanation:
Sally says, "If it's sunny, I will go to the park. When I go to the park, I go down the slide."
The next day is sunny.
What can you conclude? What law did you use to draw this conclusion?
Answer:
I can conclude that Sally went down the slide. I used deductive reasoning to get my answer. Sally said that if it was sunny, she would go to the park. She also said that if she does go to the park, she will go down the slide. Since Sally did go to the park, I know that she did go down the slide. Based on the information I have, I can use deductive reasoning to get to my answer.
Step-by-step explanation:
Based on Sally's conditions and the law of syllogism, since it's sunny, we can conclude Sally will go to the park and go down the slide.
Explanation:From Sally's statements, since the next day is sunny, we can conclude that Sally will go to the park and go down the slide. This conclusion is based on the law of syllogism in logic, which allows us to link two related conditional statements. In this scenario, the first conditional statement is 'If it's sunny, I will go to the park', and the second is 'When I go to the park, I go down the slide'. As it's sunny, the law of syllogism lets us link these conditions to infer that Sally will indeed go down the slide at the park.
Learn more about the Law of Syllogism here:https://brainly.com/question/33510890
#SPJ2
Write three equations whose solution is x=3.5
To write three equations whose solution is x=3.5, you can use different algebraic expressions. Three examples are x + 2 = 5.5, (2x - 5) / 3 = 1.8333, and x^2 - 12x + 42 = 0.
Explanation:To write three equations whose solution is x=3.5, we can use different algebraic expressions to represent the same value. Here are three examples:
x + 2 = 5.5 - In this equation, if we substitute x with 3.5, we get 3.5 + 2 = 5.5, which is true.(2x - 5) / 3 = 1.8333 - If we plug in x=3.5, we get (2(3.5) - 5) / 3 = 1.8333, which is true.x^2 - 12x + 42 = 0 - If we solve this quadratic equation, we find x=3.5 as one of the solutions.Learn more about Equations with a specified solution here:https://brainly.com/question/34695214
#SPJ3
Help please !! It’s geometry
Answer:
36
Step-by-step explanation:
Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!
A farmer sells 9.6 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market (i need it expressed in fraction and decimal form please!! im almost out of time to answer :<) please answer asap!!
Answer:
Decimal form = 2.4 / Fraction form = 1/4
Step-by-step explanation:
We know that the farmer sold 9.6 kilograms of apples and pears where 3/4 of that weight was apples. That means that 1/4 of the 9.6 kilograms were pears. Lets divide 9.6 by 1/4 to get our answer.
9.6 / 1/4 = 2.4
Decimal form = 2.4
Fraction form = 1/4
Heelpp By visual inspection, determine the best fitting repression model for the scatterplot
A. Quadratic
B. No pattern
C. Linear
D. Exponential
Tim mowed lawns for 2 hours and earned $4.50 per hour. Then he washed windows for 4 hours and earned $3.45 per hour. What was Tim's average earnings per hour for all 6 hours.
Answer:
$3.23 per hour
Step-by-step explanation:
4.5+4.5+3.45+3.45+3.45+3.45=19.35
19.35/6=$3.225 or $3.23 per hour
Restaurants often slip takeout menus under Maura's apartment door. So far, Maura has collected 15 menus, including 3 for Chinese food. Considering this data, how many of the next 20 menus slipped under Maura's door should you expect to be from Chinese restaurants? menus
Based on the proportion of Chinese food menus Maura has already received (3 out of 15),we would expect her to receive approximately 4 Chinese food menus in the next batch of 20 menus.
To solve this, we look at the probability of Maura receiving a Chinese food menu by using the proportion of Chinese menus she has already received.
This initial probability is 3 out of 15, which simplifies to 1 out of 5. Therefore, we'd expect to receive the same proportion from the next set of menus.
To predict the number of Chinese food menus in the next 20, we multiply the total number of new menus by the probability of each being Chinese:
20 menus * (1/5 probability of Chinese) = 4 Chinese menus
Newton’s Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since cooling began, in minutes. This relationship is given by y=ae where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constant related to the cooling object. -The initial temperature of a liquid is When it is removed from the heat, the temperature in the room is . For this object, Use Newton’s Law of Cooling to find the temperature of the liquid after 15 minutes.
Answer:
79 °F
Step-by-step explanation:
Newton’s Law of Cooling:
[tex]y = ae^{-kt} + c[/tex]
Data
The initial temperature of a liquid is 160 °F The temperature in the room (c) is 76 °FThen a = 160 - 76 = 84 °Fk = 0.23t = 15 minutesReplacing into the equation:
[tex]y = 84e^{-0.23 \times 15} + 76[/tex]
y = 79 °F
Answer:
The correct answer is 78.7°F
Step-by-step explanation:
Got it right on Edge 2020
-20-7x=-2x+2 solve the equation
Answer:
-4.4
Step-by-step explanation:
In order to do this, we need to move the variables to one side, and the numerical values to the other.
-20-7x=-2x+2
We can do this by adding 7x to both sides first
-20=5x+2
Now we can subtract 2 from both sides.
-22=5x
Next, we can divide each side by 5.
x=-22/5
Then we simplify the fraction
x=-4.4
Answer:
x = -4.4
or
x = 22/-5
Step-by-step explanation:
-20-7x = -2x+2
-7x = -2x+20+2
2x-7x = 22
-5x = 22
x/-5 = 22/-5
x = -4.4
or
x = 22/-5
What is 1/3 divided by 9
esther picks 100 balls at random the table shows some of the results if she picks 250 balls at random how many red balls should she expect
Answer:
Step-by-step explanation:
A circular flower bed is 22 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.
The area of the sidewalk is "blank" m to the power of 2
Plz answer will give brainiest
Answer:
Area of blank is 326.56m²
Step-by-step explanation:
For a better and pictorial understanding of this problem please see attached for your reference.
Given data
Let the flower bed be the small circle with diameter d= 22m
Radius of small circle = 22/2=11m
Let the side walk be the big circle with diameter D= 4+4+22=30m
Radius of big circle =30/2 = 15m
We know that the area of circle
A1=πr²
Hence area of flower bed
A1=3.14*11²
A1= 379.94m²
Also area of side Walk
A2= πr²
A2= 3.14*15²
A2= 706.5m²
Area of blank
A3= area of side walk - area of flower bed
A3= A2-A1
A3= 706.5-379.94
A3= 326.56m²
Answer:151
Step-by-step explanation:
Why a mixed number is called "mixed" number what is mixed up here?
Because a whole number such as 1 or two is "mixed" with a fraction such as 1/2 , 1/4 , or 3/8ths.
Because numbers are all mixed up.
Because a fraction is added to a whole number.
Answer:
Because a fraction is added to a whole number
Step-by-step explanation:
In AABC, a = 3-4 cm, b = 7.9 cm and c=5.3 cm. Find the measure of ZA to the
nearest degree.
I need help ASAP
Answer:
10
Step-by-step explanation:
Answer:
The value of angle A is 19.415 degrees.
Explanation:
Let's recalculate using the Law of Cosines to find the measure of angle[tex]\(A\)[/tex] in triangle [tex]\(ABC\)[/tex].
Given:
- [tex]\(a = 3.4\)[/tex] cm
- [tex]\(b = 7.9\)[/tex] cm
- [tex]\(c = 5.3\)[/tex] cm
We want to find angle [tex]\(A\)[/tex]. To use the Law of Cosines, we first need to find angle [tex]\(C\)[/tex]. We can use the Law of Cosines again:
[tex]\[ a^2 = b^2 + c^2 - 2bc \cos(A) \][/tex]
[tex]\[ (3.4)^2 = (7.9)^2 + (5.3)^2 - 2(7.9)(5.3) \cos(A) \][/tex]
[tex]\[ 11.56 = 62.41 + 28.09 - 83.54 \cos(A) \][/tex]
[tex]\[ 11.56 = 90.5 - 83.54 \cos(A) \][/tex]
[tex]\[ 83.54 \cos(A) = 90.5 - 11.56 \][/tex]
[tex]\[ 83.54 \cos(A) = 78.94 \][/tex]
[tex]\[ \cos(A) = \frac{78.94}{83.54} \][/tex]
[tex]\[ \cos(A) \approx 0.944 \][/tex]
Now, to find the measure of angle \(A\), we take the inverse cosine (cos⁻¹) of 0.944:
[tex]\[ A \approx \cos^{-1}(0.944) \][/tex]
[tex]\[ A \approx 19.415° \][/tex]
What x value solves the equation?
3x – 5 = 1
Answer:
x=2
Step-by-step explanation:
Add 5 to each side.
3x-5+5=1+5
3x=6
Divide each side by 3.
Your answer would be x=2.
Answer:
X=2
Step-by-step explanation: