Answer:
Remember that when a variable is times with a number, you will divide it by that number which is times with variable on both sides.
when a variable is divided by the number, you will multiply it by that number on the both sides.
I hope you understand my explanation. Thank you !!
HELP!! write an equation in point-slope form that has the same slope as y= 5/7x+4 and passes through the point (2,5).
Answer:
Option 2
Step-by-step explanation:
We are given points (2,5) and the slope form
So all we have to do is plug in what we know into the equation:
y-5=5/7(x-2)
Correct answer is 2nd option
If a right circular cone has a circular base with a diameter of length 16 cm and a volume of 320???? cm3, find its lateral area in square centimeters.
The lateral surface area of a right circular cone is 234.09 \(cm^2\)
Given that volume = \(320cm^3\)
Radius = 8cm
we know that
The volume of the right circular cone = \(V = \frac{\pi r^2h}{3}\)
\(320 = \frac{22 \times 8^2h}{3 \times 7}\)
after solving the equation we get
h = 4.77cm
now, the lateral surface area of the cone = \(A = \pi \times r \times \sqrt{h^2 + r^2}\)
now putting the values in the above equation
\(A = \pi \times 8 \times \sqrt{4.77^2 + 8^2}\)
A = 234.09 \(cm^2\)
What is lateral surface area?All sides of an object, excluding its base and top, are considered its lateral surface (when they exist). The size of the lateral surface is referred to as its area.This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area. In a broader sense, the total area of the sides of a prism makes up its lateral surface area.Calculating this lateral surface area requires multiplying the prism's height by the base's perimeter.To learn more about lateral surface area with the given link
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please help and simplify these expressions and show how u found them! i will mark brainliest !
Answer:
3) 3k+20
4) 4+2d
Step-by-step explanation:
You first have to distribute by multiplying the number next to the expression in the parenthesis. Then you combine like terms.
3) 5(k+4)-2k
Step 1: (5×k= 5k) (5×4=20) equation is now 5k+20-2k
Step 2: 5k-2k=3k since they both have the same variable you combine like terms. Equation is now 3k+20 (Final answer)
4) 2(3+d-1)
Step 1: (2×3=6) (2×d=2d) (2×[-1]=2) Equation is now 6+2d-1.
Step 2: (6-2=4) Since both 6 and 1 don't have any variable their like terms and you combine them. Equation is now 4+2d (Final answer)
SHOW YOUR WORK! Solve :
4(x + 7) + 3(2x − 5) = −7x + 64
2x+4y=10 and 3x+7=y by substitution method
Answer:
x=-9/7, y=22/7
Step-by-step explanation:
Since we're using substitution, and the second equation already has the y isolated on one side, we just substitute the 'y' in 4y from the first equation with the right side of the second equation, which gets us 2x+4(3x+7)=10. Then, we simplify to get that x=-9/7. Now, we use substitution again to replace the x value in the second equation to get y. So 3(-9/7)+7=y, y=22/7.
Final answer: x=-9/7, y=22/7
I hope this helped! :D
how many years after the 1972 ban did it take for ddt levels to move from a rapid to slower rate of decline
According to all Reports of U.S media and other,
approx. 97 years after in 1972 ban did it take for ddt levels to move from a rapid to slower rate of decline.
DDT (dichloro-diphenyl-trichloroethane) has been one of the most commonly used pesticide chemicals in the United States for many years and was first synthesized in 1874. However, its efficacy as an insecticide was not discovered until 1939. Shortly thereafter, especially during World War I, the United States began producing large amounts of DDT abroad to combat vector-borne diseases such as typhoid fever and malaria. It declined sharply, falling from a peak of about $80m that year to just under $12m in the early 1970s. Over 80% of the amount of pesticides used between 1970 and 1972 was on cotton, with the rest mainly on peanuts and soybeans. The decline in DDT use is due to
(1) increased resistance to insects
(2) development of more effective alternative pesticides
(3) Growing public concern about adverse environmental impacts.
(4) Strengthening government restrictions on the use of DDT.
Residues of the pesticide DDT in the food supply, human tissues, and the environment have declined in recent years, especially since the EPA banned the chemical from major uses in 1972.
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A store owner discounted some silver coat racks from $625 to $405. What percentage is the discount?
Answer: 64.80% not 100% positive if i did that math right but thats what i got
Step-by-step explanation:
38.8679
Step-by-step explanation:
Factor 3a2 − 6a − 4a + 8 by grouping.
Step-by-step explanation:
3a² -6a -4a +8
By Grouping method,
= 3a(a-2)-4(a-2)
= (3a-4)(a-2)
Answer:
(3a − 4)(a − 2)
Step-by-step explanation:
i got it on my quiz
Group and factor out the greatest common factor (GCF), then combine.(3a−4)(a−2)
two paintings both have a current value of $15,000. The estimated value of each painting over the next five years is shown in the table below. Which of the following statements describes the value of painting a relative to the value of painting me over the next five years?
Answer:
B.
Step-by-step explanation:
painting a increases expoonentially
1.05(A value)= N
same for painting b by 1.02x
but a increases .3 %more
The statement that shows the painting's value correctly would be:
B). The value of Painting A increases at a larger constant rate per year than Painting B.
What is relative value?Relative value is characterized as the value of anything that is viewed in comparison to the other object, whether it is an increase or decrease.
In the given situation, the price of Painting A increases dramatically from 15,000 to 19,144 while the price of Painting B increases at a comparatively slower pace and reaches 16,561 only.
This shows that the price in the first case increases by 1.05 times while the latter remains .3% behind and stays at 1.02 times only.
Thus, option B is the correct answer.
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find the proabilty of rolling factors of 5 on both sides.
We would like to test the hypotheses H0: μ = 130, HA: μ > 130. We found t = 2.73 with 5 degrees of freedom. What is the appropriate p-value.?
The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.
What is p-value?Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.
Given:
Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)
Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)
T-statistic: t = 2.73
Degrees οf freedοm: df = 5
Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.
Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.
Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.
Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).
Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:
p-value = 0.0257 / 2 = 0.01285
Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.
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need help fast!!!!!!
The equation for the horizontal asymptote of the function f is y=Lim x→∞ f(x).
Horizontal asymptoteIn algebra and calculus, a horizontal asymptote is a horizontal line that the graph of a function approaches as the x-values or input values increase or decrease without bound.
The equation for the horizontal asymptote of a function f is:
Lim f(x) → ∞ = c
Where c is the horizontal asymptote.
Example:
f(x) = x2 + 3x + 2
Horizontal Asymptote:
Lim f(x) → ∞ = ∞
numeric value in equation
For example, if x = 5:
f(5) = 5^2 + 3*5 + 2 = 32
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- Select the equivalent expressions. 71-9y and (7x - y) (9) 5 (3t - 6) and 15 - 30 4 (6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)
Answer:
D. 16 + 72n and (2 + 9n) (8)
Step-by-step explanation:
Select the equivalent expressions.
71 - 9y and (7x - y) (9) 5(3t - 6) and 15 - 30 4(6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)Distribute to find the equivalent expressions:
A.
71 - 9y and (7x - y) (9)
71 - 9y = 9(7x) + 9(-y)
71 - 9y = 63x - 9y
Not equivalent
B.
5(3t - 6) and 15 - 30
5(3t) + 5(-6) = 15 - 30
15t - 30
Not equivalent (it's missing the variable - t)
C.
4(6a + 86) and 10a + 126
4(6a) + 4(86) = 10a + 126
24a + 344 = 10a + 126
Not equivalent
D.
16 + 72n and (2 + 9n) (8)
16 + 72n = 8(2) + 8(9n)
16 + 32n = 16 + 72n
Equivalent
Therefore the correct answer is D
Hope this helps!
Reptile stickers come in sheets of 10 and fish stickers come in sheets of 25. Antonio buys the same
number of both types of stickers and he buys at least 100 of each type.
What is the least number of sheets of each type he might buy?
Antonio might buy
sheets of reptile stickers and
sheets of fish stickers.
100 is the least number of sheets of each type he might buy given that reptile stickers come in sheets of 10 and fish stickers come in sheets of 25 and Antonio buys the same number of both types of stickers and he buys at least 100 of each type. This can be obtained by finding LCM(Least Common Multiple) of 10 and 25 and identifying the multiple nearest to 100.
What is the least number of sheets of each type he might buy?Here in the question it is given that,
Reptile stickers come in sheets of 10Fish stickers come in sheets of 25Antonio buys the same number of both types of stickersHe buys at least 100 of each typeWe have to find the least number of sheets of each type he might buy.
First we have to find the LCM(Least Common Multiple) of 10 and 25
10 = 2 × 5
25 = 5 × 5
LCM(10,25) = 2 × 5 = 50
But he buys at least 100 of each type, then we recall the multiples of 18 to find the least number which is nearest to 100.
Multiples of 50 = 50, 100, 150,...
The number nearest to 100 is 100 itself.
Hence 100 is the least number of sheets of each type he might buy given that reptile stickers come in sheets of 10 and fish stickers come in sheets of 25 and Antonio buys the same number of both types of stickers and he buys at least 100 of each type.
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5. Max wants to start his own lemonade stand. It cost him $3 to make each cup of lemonade plus he has
to pay a $35 renters fee for his stand. He sells the lemonade for $5 per cup.
a. Write a system of linear equations for his cost and his revenue.
The linear equations for cost price and selling price are c = 3x + 35 and y = 5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let Max make x cups of lemonade cup.
According to given conditions,
Cost of 1 cup of lemonade = $3.
Also, Max pay for renters fee = $35.
The cost of x cups of lemonade = 3x
The total cost c = 3x + 35
Since, Max sells lemonade for $5 per cup.
Let the selling price is represented by y,
Then selling price y = 5x
Hence, linear equations for cost price and selling price are c = 3x + 35 and y = 5x.
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Simplify 6(3a - 8b + 2)
If you take a random sample of 64 BYU-Idaho students, what is the mean and standard deviation of the distribution of sample means of these GPA scores?mean = 3.7 standard deviation = 0.9mean = 0.463 standard deviation = 0.9mean = 3.7 standard deviation = 0.113mean = 0.463 standard deviation = 0.113
The Mean of the sample is = 3.7
The Standard deviation of the sample is = 0.1125
If we assume that the population mean and standard deviation of GPAs are 3.7 and 0.9, respectively, then the mean of the distribution of sample means of size 64 would also be 3.7, and the standard deviation would be:
standard deviation = population standard deviation / sqrt(sample size)
= 0.9 / sqrt(64)
= 0.1125
So the mean and standard deviation of the distribution of sample means would be approximately:
mean = 3.7
standard deviation = 0.1125
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When you place the sample to be examined at a distance of 1.30 cmcm from the objective, at what length lll will you need to adjust the tube of the microscope in order to view the sample in focus with a completely relaxed eye?
You need to adjust the tube of the microscope to 6.83cm in order to view the sample in focus with a completely relaxed eye
Given, Focal length of the eyepiece, = 2.50 cm
The focal length of the converging lens, f = 1.00 cm
The distance of the object, p = 1.30 cm
Lens equation, \(\frac{1}{f} = \frac{1}{p} + \frac{1}{q}\)
Substitute the values in the above equation
\(\frac{1}{1.00} = \frac{1}{1.30} + \frac{1}{q}\)
q = 4.33 cm
now, the image is formed at the focal point of the eyepiece,
therefore, the distance between the objective and the eyepiece, d = + q = 2.50 cm + 4.33 cm
d = 6.83 cm
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Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
help me please , for 20 points
Answer:
A
Step-by-step explanation:
First off we can see that there are 46 pencils - and 7 students - so we can divide the two
46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.
If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.
Now that we know that each student gets 6 pencils, we need to find out how many are left.
We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.
BRAINLIEST AND 20 POINTS!! PLEASE PLEASE PLEASe HELP ASAP!!!
Answer:
Option 2 and 4
Step-by-step explanation:
Area of the big rectangle to fit small ones:
15*11= 165Area of small rectangles:
A= 11*7=77B=2*11=22C=6*6=36D=6*5=30E=13*4=52Now, the answer options:
3E+2B= 3*52+2*22= 200 > 165 ⇒ noA+B+C+D= 77+22+36+30= 165 ⇒ yes2C+2D+2B= 2(36+30+22)=176 > 165 ⇒ noA+4B= 77+4*22= 165 ⇒ yesE+C+D+3B= 52+36+30+22= 140 < 165 ⇒ noLucia opened a savings account and deposited $600.00 as principal. The account earns 13% interest, compounded annually. What is the balance after 5 years?
Use the formula A=P1+
r
n
nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
The amount of money in Lucia's account after 5 years will be $1,105.5.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Lucia opened a savings account and deposited $600.00 as principal. The account earns 13% interest, compounded annually. Then the amount of money after 5 years will be given as,
A = $600 × (1 + 0.13)⁵
A = $600 × (1.13)⁵
A = $600 × 1.84
A = $1,105.5
The amount of money in Lucia's account after 5 years will be $1,105.5.
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Which ordered pair could replace the missing value and create a function?
Given that the ordered pair makes the function and these pairs are
[ (2,5), (7,1), (5,9), (8,0), ( , ) ]
Since the function is the one that has the input having only one output.
Hence, the given options (3,4) is correct.
Therefore the ( 3, 4 ) is the pair.
Find the distance between the lines with the given equations.
3x+y = 1
y+6=-3x
Answer:
2.21 units--------------------------------
Given lines:
3x + y = 1 and y + 6 = - 3xConvert both equations to slope-intercept form of y = mx + b:
3x + y = 1 ⇒ y = - 3x + 1y + 6 = - 3x ⇒ y = - 3x - 6Slopes are same, so these are parallel lines, and the distance between parallel lines is:
\(d=\cfrac{|b_1-b_2|}{\sqrt{1+m^2} }\), where b₁, b₂ - y-intercepts, m- slopeSubstitute and calculate:
\(d=\cfrac{|1+6|}{\sqrt{1+(-3)^2} }=\cfrac{7}{\sqrt{10} } =2.21\)A principal surveyed 75 seventh-grade and eighth-
grade students. She asked them if they prefer to
obtain the news from the Internet or to obtain the
news from television. She created a table to display
the data, as shown below.
News Preference
Internet
Television
16
34
Students
Seventh Grade
A
Eighth Grade
10
15
How many seventh-grade students responded to the
survey? Show or explain how you got your answer.
Answer:
50
Step-by-step explanation:
16+34=50
50 seventh-grade students responded to the survey.
What is Data?In mathematics, data refers to a collection of facts, numbers, observations, or measurements that have been gathered or recorded. Data is used to represent and analyze information in various mathematical contexts, such as statistics, probability, and data analysis.
First, Eighth Grade
= 10 + 15
= 25
Second, Seventh Grade
= 16 +34
= 50
Thus, 50 seventh-grade students responded to the survey.
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How do I solve this?
Answer:
3
Step-by-step explanation:
2•3=6 +2=8 8 squared is 8•8 which is 64. This problem is quite simple.
Answer:
X=3
Step-by-step explanation:
Step 1: Find the square root of 64
since there is an exponent of 2 around your paranthesis, you must get rid of that first, by finding the square root of the first part of the equation and 64. then you will have (2x+2)=8
Step 2: Subtract 2
next subtract 2 from both sides of the equation, and you will have 2x=6
Step 3: divide by 2
lastly, divide each side by 2. you will get x=3
444. IU
5. Which number is most significant? 456.2, 459. 456.222 )
(2 Points)
459
456.2
456.222
Answer:
That is the third one :
456.222
because it has the most numbers 4,5,6 and point . 2,2,2
Three construction companies have bid for a job. Max knows that the two companies with which he is competing have probabilities 1/5 and 1/2, respectively, of getting the job. What is the probability that Max will get the job
The probability that Max will get the job is 3/10 or 0.3.
To see why, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Let A, B, and C represent the events that the first, second, and third companies respectively get the job.
Then the probability that Max gets the job is equal to the probability of event AB~C (i.e., none of the other companies gets the job).
The probability of A is 1/5, the probability of B is 1/2, and the probability of C is 3/10 (since the sum of the probabilities of all three events is 1). Using the formula for the probability of the intersection of independent events, we have:
P(AB~C) = P(~A) * P(~B) * P(~C) = (4/5) * (1/2) * (7/10) = 14/50 = 0.28
So the probability that Max gets the job is 0.3, or 3/10.
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Pleaseeeeeee. Helpppppppppppp meeeeeeeeeeee
Answer:
first tower needs 4
second needs 3
third needs 2
and the fourth needs 1
Total needed triangles for all is 10
Step-by-step explanation:
7
Ms. Garcia asked her students to write the following expression in standard form.
5
6
Hiromi wrote the following expression.
3g
a. Hiromi's expression
equivalent to the given expression.
b. The given expression in standard form is
(If Hiromi's expression is correct, please retype it. )
I
a) No, the expression 3g - 5 19/24 is not equivalent to Hiromi's expression that is 3g
b) The standard form of the expression is 3g - 5 19/24
Here we have given that Ms. Garcia asked her students to write the following expression in standard form and Hiromi wrote the following expression as 3g
Here we have given the expression as,
=> 5/6 + 4 (3/4g - 6)
When we simplify this one then we get,
=> 5/6 + 12/4g - 24
=> 3g + (5 - 144)/24
=> 3g - 139/24
When we convert the fraction, then we get,
=> 3g - 5 19/24
Then the given expression is not equivalent to the Hiromi's expression
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