Answer:
m<8=150
m<3=150÷3=50
I have a negative balance of $153 in my saving account. Every week, I save $17 and deposit it into my saving account. How many weeks will it take for me to save at least $0. a) Write an inequality to represent the situation. b) Solve the inequality
Answer: 17x=153
It would take 9 weeks to reach a balance of 0.
Step-by-step explanation:
So what you would do, you would do as follows; you have a situation where is says "every week'' so you would put 17x=153. So to solve that, you would divide 153 by 17, and that's how you would get your answer of 9.
evaluate the definite integral. use a graphing utility to verify your result. 6 1 49 − x2 0 dx
To evaluate the definite integral ∫[0,6] (49 - x^2) dx, we can apply the rules of integration. The antiderivative of 49 - x^2 with respect to x is (49x - (x^3)/3).
Using the Fundamental Theorem of Calculus, we can evaluate the definite integral by substituting the upper and lower limits of integration into the antiderivative:
∫[0,6] (49 - x^2) dx = [49x - (x^3)/3] evaluated from x = 0 to x = 6
Substituting the limits of integration:
[49(6) - (6^3)/3] - [49(0) - (0^3)/3]
= [294 - 72] - [0 - 0]
= 222
Therefore, the value of the definite integral ∫[0,6] (49 - x^2) dx is 222.
To verify this result using a graphing utility, one can graph the function f(x) = 49 - x^2 and use the integral feature to calculate the definite integral from 0 to 6. The result should match the evaluated value of 222.
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Help pls I'm gonna be screwed if you don't get this pls pls pls anyone who knows math well pls help me I'm gonna cry it's over due please:( :(
Just last two please
Answer:
WRONG ALL
Step-by-step explanation:
3. Should be:
\( - 4 \frac{7}{8} \times \frac{2}{3} \\ \\ - \frac{39}{8} \times \frac{2}{3} \\ \\ \frac{ -13}{4} \)
4. Should be:
\( - 3 \frac{1}{5} + - \frac{2}{3} \\ \\ - 3 \frac{3}{15} - \frac{10}{15} \\ \\ - 3 \frac{7}{15} \)
I hope this helps you :)
Name various type of transpiration in tobacco, rose , edible pea and rice
Different plants, such as tobacco, rose, edible pea, and rice, exhibit various types of transpiration, including stomatal transpiration, cuticular transpiration, and lenticular transpiration.
Transpiration is the process through which plants lose water vapor from their surfaces, primarily through specialized structures called stomata. However, the specific types of transpiration can vary among different plant species.
In tobacco plants, transpiration occurs through stomatal transpiration. Stomata are small openings on the surface of leaves that regulate gas exchange and water loss. The majority of water vapor is released through these stomata in tobacco plants.
Similarly, in rose plants, transpiration primarily takes place through stomatal transpiration. The stomata on rose leaves open and close to control the rate of water loss, allowing the plant to conserve water during periods of high evaporation.
In edible pea plants, transpiration occurs through both stomatal transpiration and cuticular transpiration. Stomatal transpiration happens through the stomata on pea leaves, while cuticular transpiration occurs through the cuticle, a waxy layer covering the epidermis of leaves and stems.
In rice plants, which are typically grown in wet or submerged conditions, transpiration happens through lenticular transpiration. Lenticels are small openings on the stems and roots of plants that facilitate gas exchange and water vapor release.
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Can someone please explain how to do this ?
Answer:
1) 26
2) 5
3) 20
Step-by-step explanation:
1. 7 x 3 + 5 Do Multiplication before addition
21 + 5
26
2. 8÷4 + 3 Do division before addition
2 + 3
5
3. 2(12-4) + 4 Do what is in the parentheses first
2(8) + 4 Multiply before you add
16 + 4
20
How many solutions does the equation 3(x + 2) - 10 = 4x - 6+ xhave? A infinitely many solutions B two solutions one solution D no solution
Answer:
Step-by-step explanation:
3(x+2) -10 = 4x + 6 +x
3x +6 -10 = 5x+6
-10 = 2x
x = -5
One solution
What does the word Expressions mean in mathematics in your own words?
Answer:
Expression in mathematics means word problem.
What is the sum of the fractions below? 1/2+2/3
Answer:
1.1666... recurring
Step-by-step explanation:
Answer:
1/2 + 2/3 = 7/6
Step-by-step explanation:
We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator. So we multiply 1 by 3 and get 3, then we multiply 2 by 3 and get 6. Do the same for the second term. We multiply 2 by 2, and get 4, then multiply 2 by 3 and get 6.Since our denominators match, we can add the numerators. 3 + 4 = 7Last, of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?To find out, we try dividing it by 2...No good. So next you try the next prime number, which is 3...No good. So next you try the next prime number, which is 5...No good. So next you try the next prime number, which is 7{No} good. 7 is larger than 6. So we're done reducing.The final answer to 1/2 + 2/3 is 7/6jayden measured a pen to be 20 cm long the actual length of the pen is 20.8
The percent error in a measure is given by the formula:
P = 100%*|real value - measure|/real value
Here we know that:
real value = 20.8 cm
measure = 20cm
Replacing that in the formula we will get:
P = 100%*|20.8 cm - 20cm|/20.8cm = 3.8%
That is the percent error.
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Complete question:
Jayden measured a pen to be 20 cm long the actual length of the pen is 20.8 cm, then what is the percentage error?.
She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends.
Answer:
Instructions are below.
Step-by-step explanation:
Giving the following information:
She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50.
We weren't provided with questions to answer. But, I will assume that we need to determine the number of units to be sold to break-even.
To calculate the break-even point in units and dollars, we need to use the following formulas:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 200 / (13.5 - 7.8)
Break-even point in units= 35 units
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 200 / (5.7/13.5)
Break-even point (dollars)= $473.68
If you want to reach a certain profit:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Suppose a family has saved enough for a 10 day vacation (the only one they will be able to take for 10 years) and has a utility function U = V1/2 (where V is the number of healthy vacation days they experience). Suppose they are not a particularly healthy family and the probability that someone will have a vacation-ruining illness (V = 0) is 20%. What is the expected value of V?
Select one:
a. 10
b. 8
c. 2
d. 0
Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:
V = 0 (with probability 0.2, as given in the problem)
V > 0 but V < 10 (with probability 0.8 * (9/10), because if nobody gets sick, they will have at least 1 healthy vacation day, and if they have 1 healthy day, they can still have 9 more days of vacation)
V = 10 (with probability 0.8 * (1/10), because if nobody gets sick, they can have all 10 days of vacation)
Using the utility function, we can see that the expected value of V is:
E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)
E[V] = 0 + 0.36 + 0.8
E[V] = 1.16
Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.
What is the frequency of the function f(x)?
f(x)=1/4cos(2x)+5
Answer:
The frequency is -1/pi
Step-by-step explanation:
I am currently taking the test and this is the answer that I got. Please give me brainliest
The probability that i will throw a six with a dice is
\( \frac{1}{6} \)
what is the probability that I will not throw a six?
There are 6 numbers on a die. 5 numbers are not 6, so you have a 5/6 probability of not rolling a 6.
The answer is 5/6
Find x:
(Round the answer to the nearest tenth if there is a decimal)
Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)
Use tangent:
tan x = 8/15
x = arctan (8/15)
x = 28.1° (rounded)
Step-by-step explanation:
Equations that are functions can be written in a form called what?
Answer:
function notation.
Step-by-step explanation:
I was there with you i just happen to remember this one thing from my middle school
Ami has a mass of 72 kg.
Raphael has a mass of 108 kg.
Write Ami’s mass as a fraction of Raphael's mass.
Give your answer in its simplest form.
\({\huge{\underline{\sf{Answer}}}}\)
» Ami's mass is \( \sf \frac{2}{3} \) the mass of Raphael.Solution:
Given that
Ami's mass is 72 kg andRaphael's mass is 108 kg.To write Ami’s mass as a fraction of Raphael's mass, we divide Ami's mass by Raphael's mass. So it is now \( \sf \frac{72}{108} \).
However, there the fraction is not yet in its simplest form, so we have to extract common factors from both the numerator and the denominator:
\( \sf \frac{36 \times 2}{36 \times 3} \)= \( {\boxed{\sf \frac{2}{ 3}}} \)Therefore, Ami's mass is \( \sf \frac{2}{3} \) the mass of Raphael.
\({\: \:}\)
\({\huge{\underline{\sf{Hope\:It\:Helps}}}}\)
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Which expression represents the phrase 5+ the quotient of 12. 8 and 3. 2
Expression 5 + (12.8 ÷ 3.2) represents the phrase 5 + the quotient of 12. 8 and 3. 2 and option (a) is the correct answer.
Expressions refer to a phrase with at least two numbers or variables with any mathematical operations such as addition, exponents, etc. x - 6, 9 + 4y, and 6a are all examples of mathematical expressions.
Equations refer to a sentence when two expressions are equated with the help of '='. x - 6 = 6a is an example of an equation.
In phrase 5+ the quotient of 12. 8 and 3. 2
We divide the phrase into different mathematical operations.
The first operation is of addition with 5, we can write the beginning as 5 + ...
The next operation is division in the phrase the quotient of 12. 8 and 3. 2 which is added to the expression and we get 5 + (12.8 ÷ 3.2)
And we get our answer.
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The complete question might be :
Which expression represents the phrase 5+ the quotient of 12. 8 and 3. 2?
a. 5 + (12.8 ÷ 3.2)
b. 5 - (12.8 + 3.2)
c. 5 + (12.8 * 3.2)
d. none of the above
8x^4+7x^3+2x^4+6+4x^3
You have the following algebraic expression:
\(\begin{gathered} 8x^4+7x^3+2x^4+6+4x^3 \\ \end{gathered}\)The previous expression can be simplified by taking into account, that for the simplification you sum or subtract (depending of signs) similar terms. Remind that similar terms are those one which has the same variable with the same exponent. In this case you have similar terms with variable x and exponent 4, furthermore you have similar terms with variable x and exponent 3. Then you sum this terms and you obtain:
\(\begin{gathered} 8x^4+7x^3+2x^4+6+4x^3 \\ =8x^4+2x^4+7x^3+4x^3+6 \\ =10x^4+11x^3+6 \end{gathered}\)where you have summed 8x^4 + 2x^4 = 10x^4, and 7x^3 + 4x^3 = 11x^3.
Hence, the simplied expression is 10x^4 + 11x^3 + 6
Explain why the measure of angle a is equal to 45∘ and the measure of angle c is equal to 70∘ . Enter your explanation in the box provided.
Answer:
Angle B is 245 degrees
Step-by-step explanation:
70 + 45 = 115
There are 360 degrees in one full circle
360 - 115 = 245
A - 45 degrees
B - 245 degrees
C - 70 degrees
In the given case, In a triangle, the sum of the angles is 180∘. Angle a is 45∘ and angle c is 70∘.
The measure of angle a is equal to 45∘ because the sum of the angles in a triangle is 180∘.
Similarly, the measure of angle c is equal to 70∘ because it is also a part of the triangle and the sum of all angles is 180∘.
Therefore, based on the properties of triangles and the sum of angles, we can conclude that angle a is equal to 45∘ and angle c is equal to 70∘.
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in a random sample of 565 college students, 150 had part-time jobs. find the margin of error for the 92.5 percent confidence interval used to estimate the population proportion.
The margin of error is 0.033.
What does the term "margin of error" mean simply?
A margin of error is a statistical term that takes into account the discrepancy between the outcomes of a random survey sample and the expected results.
Simply said, you can determine how unpredictable data and research results are by looking at the margin of error.
Sample size: 565
Number of success: 150
The sample proportion is calculated as follows.
P = X/n
= 150/565
= 0.2654
The sample proportion is 0.2654
The margin of error is calculated as follows.
M.O.E. = \(Z_{\alpha /2} * \sqrt{\frac{P( 1 - P)}{n} }\)
= \(1.780 * \sqrt{\frac{0.2654( 1 - 0.2654}{565} }\)
= 0.033
The margin of error is 0.033.
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. A new employee at an auto detailing shop is offered one of three options for earning pay: Option 1: Receive an hourly rate of $15.25 for 8 hours plus $0.50 per bottle of wax sold to customers. Option 2: Receive $38.75 per automobile detailed in a day. Option 3: Receive $100 per day plus 2% of sales in a day. A typical day consists of 12 bottles of wax sold per detailer, 4 automobiles detailed per employee, and average daily sales are $1,500. Which option should the new employee choose in order to make the most money on an typical day, and how much will he earn in a 20-day month at this rate?
The new employee should choose the second option to make the most money on a typical day. The amount that the new employee will earn 20-day at this rate is $3,100.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
For Option 1,
Receive an hourly rate of $15.25 for 8 hours plus $0.50 per bottle of wax sold to customers. Also, A typical day consists of 12 bottles of wax sold per detailer.
Earning = ($15.25 × 8) + ($0.50×12)
= $122 + $6
= $128
For Option 2,
Receive $38.75 per automobile detailed in a day. Also, 4 automobiles are detailed per employee. Therefore, the earnings are,
Earning = $38.75 × 4
= $155
For Option 3,
Receive $100 per day plus 2% of sales in a day. Also, the average daily sales are $1,500. Therefore, the earnings are,
Earning = $100 + 0.02($1500)
= $130
Hence, The new employee should choose the second option to make the most money on a typical day.
2.)
The amount that the new employee will earn 20-day at this rate is,
Amount earned = $155 × 20 days
= $3,100
Hence, The amount that the new employee will earn 20-day at this rate is $3,100.
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A tanker truck fills the gas station’s reservoir at the rate of 12 1/2 gallons per minute.
If the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir?
Answer: 2.8 minutes
Step-by-step explanation:
If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.
35 ÷ 12.5 = 2.8 minutes
Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.
hope this helps!
Answer:
A submarine descends at a rate of 2.6 kilometers per hour.
If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?
Round your answer to the nearest tenth. Enter your answer in the box.
answer:
2.4
hours
Step-by-step explanation:
what is the expression 8³
sorry to bother anyone again all my questions are these an tbh or to be real I don't understand how u do it so ya mind to explain how u do these an give answer plz an ty hope I'm not asking for toooo much (。・ω・。)
2 Points
Multiply the polynomials.
(x + 3)(3x2 + 8x + 9)
A. 3x3 + x2 + 33x+ 213
B. 3x3 + 17x2 - 15x+27
C. 3x3 + 17x2 + 33x-27
D. 3x3 + 17x2 + 33x + 27
Answer:
3x³ + 17x² + 33x + 27
Explanation:
(x + 3)(3x² + 8x + 9)
= (x + 3)(3x² + 8x + 9)
= (x)(3x²) + (x)(8x) + (x)(9) + (3)(3x²) + (3)(8x) + (3)(9)
= 3x³ + 8x² + 9x + 9x² + 24x + 27
= 3x³ + 17x² + 33x + 27
can someone please help me find x.
Answer:
We have similar triangles Hence 6x+2=x+35x=1 x=1/5how do I know what side lengths equal a right triangle?
Answer:
if both the shorter ends are as long as or longer than the longer end when combined.
Step-by-step explanation:
Stop giving me links and HELP ME. I will mark BRAINLIEST
x=3y-4
2x-y=7
Use substitution and elimination method
Answer:
y = 3
Step-by-step explanation:
substitute the x in 2x - y = 7 by x = 3y - 4 and then solve
2(3y - 4) - y = 7
Distribute the 2 into the parenthesis
6y - 8 -y = 7
combine like terms
5y - 8 = 7
add 8 on both sides
5y = 15
divide by 5 on both sides to isolate the y-value
y = 3
Given the graph below, what points would partition XY into segments with lengths having a ratio of 3:4?Select two correct answers.
A: ( 3, -3)
B: ( 1, 0)
C: ( -3, 6)
D: ( -1, 3)
Please show how you got the answers.
The point that divides a line segment into two equal halves is known as the midway.
How do you identify the point dividing the segment?We can use a formula that incorporates some of the slope of the line segment to get the point P that partitions the line segment suitably given a line segment AB and a partitioning ratio a/b. P is thus defined as (x1 + c(x2 - x1), y1 + c(y2 - y1)).
P(x1, y1) and Q are two things to consider (x2, y2). Finding the coordinates of the point R that divides PQ in the ratio m: n is necessary because PR/RQ = m/n. Given the ratio, the point R can either be outside of the segment PQ or between P and Q.
Two points on a line, for instance, equal one line segment; three points, three segments; five points, ten segments.
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The perimeter of a rectangular picture frame is 120 inches. The length of the picture frame is 10 inches more than the width. Find the length and width of the picture frame.
Answer:
Length is 35 width is 25
Step-by-step explanation:
what is the probability of randomly drawing a student from the whole population of fourth-graders that would meet the selection criterion for the gifted program? explain how you determined the answer.
The probability of randomly drawing a student from the whole population of fourth-graders that would meet the selection criterion for the gifted program is, 0.03.
What is probability?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
We have to find the probability of randomly drawing a student from the whole population of fourth-graders that would meet the selection criterion for the gifted program.
Think about the right-tailed region. Simply put, consider whether 97% of the pupils can be chosen for the talented programme.
Since we are interested in students who scored at or above 97%, the likelihood that a student will be chosen at random and match the selection criteria is 97/100 or 0.97.
Therefore, The probability of randomly drawing a student from the whole population of fourth-graders that would meet the selection criterion for the gifted program is, 0.03.
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