Which of the following are prime numbers? 37, 23, 17, 51, 69
Answers
Do a prime factorization for each of the numbers to determine if they prime or not
\(\begin{gathered} 37\rightarrow37 \\ 23\rightarrow23 \\ 17\rightarrow17 \\ 51\rightarrow3\times17 \\ 69\rightarrow3\times23 \end{gathered}\)Therefore, the following prime numbers are 37, 23, and 17.
Related Questions
As an agricultural research assistant, you often need to calculate the amount of pesticide needed for test fields. For each acre, b pounds of pesticide are required. Which of the following equations gives the amount of pesticide, P, in pounds, required for a field of area a square feet? O A. P = (a + b) ÷ 43,560 P = (a + b) = 43, 560 P = (a + b) × 43, 560 D. P = (a x b) ÷ 43, 560 P = (a x b) x 43,560 B. C. E.
Answers
The correct equation is P = (a x b) ÷ 43, 560
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, an agricultural research assistant, you often need to calculate the amount of pesticide needed for test fields.
For each acre, b pounds of pesticide are required.
1 acre = 43,560 ft²
Pesticide needed for each acre = b / 43,560
Pesticide needed for the given area = 43,560 (a x b)
Therefore,
P = 43,560 (a x b)
Hence, the correct equation is P = (a x b) ÷ 43, 560
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I WILL GIVE BRAINLIEST ANSWER TO THE PERSON WHO GETS THIS QUESTION CORRECT
Answers
Answer: y = -2x + 1
Step-by-step explanation:
The formula for slope-intercept form is y = mx + b. Keep y and x as the variables. Replace m with the slope, which can be found by doing rise/run, and replace b with the y-intercept. The y-intercept is the spot where the line intersects the y-axis.
Hope this helps! Have a great day! :)
from vertex to standard form
Answers
The solution is -2x^2 - 20x - 53 is the standard form of the given vertex form.
Here, we have,
Vertex and standard form of an equation
Given the vertex form of a quadratic equation expressed as:
y = -2(x+5)^2 - 3
The standard form is in the form y = ax^2 + bx + c
Expand the given vertex form
y = -2(x+5)^2 - 3
y = -2(x^2+ 10x + 25) - 3
y = (-2x^2 - 20x - 50) - 3
y = -2x^2 - 20x - 53
Hence the standard form of the given expression is -2x^2 - 20x - 53
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complete question:
Convert the following from vertex to standard form
Quinn and Alexander are painting their bedroom. Quinn has painted 2/5 of his room. Alexander has painted 2/3 of his room. Who has the more left to paint? Explain in a sentence and solve?
Answers
Answer:
Alexander
Step-by-step explanation:
Alexander has painted 2/3 of his room. Quinn has painted 2/5 of his. To find who has painted more, convert both fractions to have the same denominators. An easy way to do this is to multiply the numerator and denominator of one fraction by the denominator of the other, then do the same for the other fraction. So, \(\frac{2}{3}\) · 5 = \(\frac{10}{15}\) and \(\frac{2}{5}\) · 3 = \(\frac{6}{15}\).
\(\frac{10}{15}\) > \(\frac{6}{15}\). So, Alexander has painted more of his room than Quinn has.
How much do you need to invest every month in an annuity to
reach a goal of $25,000 at the end of 5 years, if compounding is
done every month and the annual interest rate is 4%. Round up
to the next penny.
Answers
Answer:
A=25000 is the future value. P the value that we need to invest. r= 0.04 represent the interest rate in fraction. n = 12 represent the number of times that the rate is compounded in a year. t = 5 years.
If we solve for the value of P we got:
\( P= \frac{A}{(1+ \frac{r}{n})^{nt}}\)
And replacing we got:
\( P= \frac{25000}{(1+ \frac{0.04}{12})^{12*5}} =20475.078\)
And rounded to the nesrest penny we need to invest $20475.08 in order to have after 5 years $25000
Step-by-step explanation:
For this case we can use the future value with compound interest given by:
\( A = P (1+ \frac{r}{n})^{nt}\)
Where:
A=25000 is the future value. P the value that we need to invest. r= 0.04 represent the interest rate in fraction. n = 12 represent the number of times that the rate is compounded in a year. t = 5 years.
If we solve for the value of P we got:
\( P= \frac{A}{(1+ \frac{r}{n})^{nt}}\)
And replacing we got:
\( P= \frac{25000}{(1+ \frac{0.04}{12})^{12*5}} =20475.078\)
And rounded to the nesrest penny we need to invest $20475.08 in order to have after 5 years $25000
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
Answers
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average?
Answers
Answer: To find the batting average of a player, we need to find the ratio of hits to total attempts.
Jana's ratio is 12/15, and Tasha's ratio is 9/10.
To compare these ratios, we can simplify both of them to a common denominator. In this case, the common denominator is 15.
Jana's ratio can be simplified to 12/15, which is equal to 0.8
Tasha's ratio can be simplified to (9/15), which is equal to 0.6
So, Jana has a ratio that means she has a better batting average (0.8) compared to Tasha (0.6)
Alternatively, we can convert these ratio to percentage by multiplying them by 100.
Jana's batting average is 12/15 * 100 = 80%
Tasha's batting average is 9/10 * 100 = 90%
By this way also we can see that Tasha's batting average is higher than Jana's batting average.
Step-by-step explanation:
If 4x + 12 = 76, then x =
Answers
Answer:
x = 16
Step-by-step explanation:
subtract 12 from both sides to isolate the variable and its coefficient
4x = 64
divide both sides by 4 to get x
x = 16
Answer:
x = 16
Step-by-step explanation:
4x+12=76
Step 1: Subtract 12 from both sides.
4x + 12 - 12 = 76 - 12
4x = 64
Step 2: Divide both sides by 4.
\(\frac{4x}{4} = \frac{64}{4}\)
x = 16
What is the value of r
Answers
Step-by-step explanation:
Vertical angles are equal r = 70 degrees
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot.
In 2019, 147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was Xbar=282. We want to estimate the mean score in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation =40.
If we take many samples, the sample mean Xbar varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score in the population. What is the standard deviation of this sampling distribution?
Give your answer to four decimal places.
Answers
The standard deviation of the sampling distribution is approximately 0.3292.
What is central limit theorem?The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.
Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.
The standard deviation is given by the formula:
SD = σ/√(n)
Now, substituting the value of σ = 40, n = 147,400 we have:
SD = σ/√(n) = 40/√(147400) ≈ 0.3292
Hence, the standard deviation of the sampling distribution is approximately 0.3292.
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I think of a number.
I multiply this number by 8, then subtract 66
The result is twice the number that I was thinking of.
What is the number I was thinking of?
Answers
6x=66(put the x’s on one side)
x=11 (simplify)
Answer:
11
Step-by-step explanation:
Set up:
8x - 66 = 2x -> Subtract 2x from either side
8x - 2x = 66 -> Simplify
6x = 66 -> Divide either side by 6
x = 66/6 = 11
The number is 11
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answers
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
What is 85% of 1,700
Answers
Answer:
1445
Step-by-step explanation:
Answer:
1,445
Step-by-step explanation:
1700 · .85 = 1445
good luck, i hope this helps :)
A 13-inch candle is lit and steadily burns until it is burned out.
a. As the burned length of the candle increases from 3 to 7.5 inches, the remaining length of the candle varies from _____inches to _____ inches
b. Suppose b represents the burned length of the candle in inches (or the number of inches that have burned from the candle since it was lit).
Write an expression in terms of b that represents the remaining length of the candle (in inches). ________
Answers
Answer:
a. The remaining length of the candle varies from 10 inches to 5.5 inches
b. Remaining Length = 13 - b
Step-by-step explanation:
b.
The remaining (unburnt) length of the candle must be equal to the difference between total length of the candle and the burnt length of the candle. So, the expression for the remaining length can be written as:
Remaining Length = Total Length - Burnt Length
where,
Total length = 13 inch
Burnt Length = b
Therefore,
Remaining Length = 13 - b
b.
Now, we use the same expression for:
burned length = 3 inches
Therefore,
Remaining Length = 13 inches - 3 inches
Remaining Length = 10 inches
Now, for
burned length = 7.5 inches
Therefore,
Remaining Length = 13 inches - 7.5 inches
Remaining Length = 5.5 inches
Hence,
The remaining length of the candle varies from 10 inches to 5.5 inches
A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year.
About how many times faster does the sparrow's heart beat compared to the human heart?
Estimate using a single digit times a power of 10.
A. 2×1082×106=1×102or about 100 times faster
B. 2×1092×106=1×103or about 1,000 times faster
C. 2×1082×105=1×103or about 1,000 times faster
D. 2×1092×105=1×104or about 10,000 times faster
Answers
Answer: A
Step-by-step explanation: you go 10 to the 8th^, and 10 to the 6th^
How many 1/3 cup servings are in 3/4 cup of milk
Answers
Convert the fractions to decimals:
1/3 is now 0.33 and 3/4 is now 0.75
Divide:
3/4 / 1/3 or 0.75 / 0.33
Gives 2.27
I need help with questions 1,2, and 3. This class is microeconomics
Answers
Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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URGENT 100 POINTS AND BRAINIEST
Question 9 (Essay Worth 10 points)
(04.01, 04.02 HC)
Ted practices two types of swimming styles for a total of 50 minutes every day. He practices the breaststroke for 20 minutes longer than he practices the butterfly stroke.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Ted practices the butterfly stroke every day (x) and the number of minutes he practices the breaststroke every day (y). (5 points)
Part B: How much time does Ted spend practicing the breaststroke every day? Show your work. (3 points)
Part C: Is it possible for Ted to have spent 45 minutes practicing the butterfly stroke if he practices for a total of exactly 50 minutes and practices the breaststroke for 20 minutes longer than he practices the butterfly stroke? Explain your reasoning. (2 points)
Answers
Answer:
Part A:
x + y = 50
y = x + 20
Part B:
Ted spends 35 minutes practicing the breaststroke every day.
Part C: It is not possible, as 45 + 65 isn't 50.
Step-by-step explanation:
The area of a square porch is 81 square feet. Find the dimensions of the porch.
Answers
Answer:
9 feet
Step-by-step explanation:
Square root 81 as all the sides of the porch are the same length
I really need help
If AD = 12 and AC = 4y-36, find the value of y
Answers
Answer:
y=12
Step-by-step explanation:
in that case, then 12 = 4y -36
12 =4y -36
12+36=4y
48=4y
48/4=y
12=y
answer :y=12
Answer:
y = 15
Step-by-step explanation:
Consider that the attached screenshot is the figure given in the problem. Also consider that DC = 12, due to the fact that AD = 12, and there is a midpoint at point D.
AD + DC = AC
12 + 12 = 4y - 36
24 = 4y - 36
+ 36 + 36
60 = 4y
60/4 = 4y/4
y = 15
Help help help help help math please
Answers
Answer:
It's dilate
Step-by-step explanation:
Because it changed in size and if it would to be translation the same size would be the same just different amount of spaces between the shapes.
Is this one correct?
Answers
Answer:
do you expect me to flip sideways just to help you cheat on ur homework
Step-by-step explanation:
x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answers
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
What is this surface area?!!??
Answers
Answer:
132 in^2Step-by-step explanation:
4×3×1/2×2+10×4×3=132
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Answers
Answer:
7/8X-8=216
x=256
7/8x-8=216
+8 +8
7/8x=224
7/8 7/8
x=256
Step-by-step explanation:
A common aspect ratio for computer screens today is width : height = 16 : 9. The advertised size of a screen is given by the measure of its diagonal. Measure the width, height, and diagonal of at least three screens (computers, tablets, phones) in your home. Are they similar? How do you know? Are any of your screens congruent? If so, what postulates prove it? List your measurements and describe your findings carefully.
Please follow these guidelines for your discussion posts:
Write at least 150–300 words.
Answers
A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.
How to explain the ratio?If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.
Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.
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which table shows a proportional relationship between x and y?
Answers
Answer:
Table C
Step-by-step explanation:
For x and y to be proportional , then the values of
\(\frac{y}{x}\) = constant k
Table B
\(\frac{y}{x}\) = \(\frac{6}{3}\) = 2
\(\frac{y}{x}\) = \(\frac{24}{6}\) = 4
\(\frac{y}{x}\) = \(\frac{36}{9}\) = 4
The values are not constant
Table C
\(\frac{y}{x}\) = \(\frac{2}{3}\)
\(\frac{y}{x}\) = \(\frac{4}{6}\) = \(\frac{2}{3}\)
\(\frac{y}{x}\) = \(\frac{6}{9}\) = \(\frac{2}{3}\)
These values are constant
Then Table C shows a proportional relationship between x and y
amy waters her garden every 4 days and weeds it every saturday amy waters her garden this saturday.How many days will it be until the next time amy both waters and weeds her garden on the same day
Answers
Find the solution of the system for which
Answers
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.