Answer:
80
Step-by-step explanation:
Because 400 times 20% is 80 so 80 would be the missing value.
Answer: 2000
Step-by-step explanation:
20% of x = 400
20% = 0.2
\(0.2x=400\)
x=2000
If f(x) = 2x and g(x) = 5x + 2, what is (f – g)(x) when x = 3
Answer:
\(f - g = \\ 2x - (5x + 2) = \\ 2x - 5x - 2 = \\ - 3x - 2 = \\ - 3 \times 3 - 2 = \\ - 9 - 2 = - 11\)
5c + 16.5 = 13.5 + 10c
Answer:
Hello!
________________________
5c + 16.5 = 13.5 + 10c
Exact Form: c = 3/5
Decimal Form: c = 0.6
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!
Answer:
3000+3d=noods
Step-by-step explanation:
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Li Wei and Colleen have the same reading assignment. After one week Li Wei has read 90 pages and Colleen has read 126 pages. If Li Wei can you read 30 pages in an hour and Colleen henry 24 pages an hour, when will they be on the same page 
Equating the expressions, if Li Wei can read 30 pages in an hour and Colleen Henry 24 pages an hour, they will be on the same page in 6 hours.
What are equivalent expressions?Equivalent expressions are two or more algebraic expressions that have the same value when the variables are substituted with real numbers.
In this situation, we can determine the time that Li Wei and Colleen Henry can be on the same page by equating the expressions representing their reading rates.
The number of pages Li Wei can read in a week = 90
The number of pages Collen can read in a week = 126
Li Wei's reading rate per hour = 30 pages
Collen's reading rate per hour = 24 pages
Let the hours that Li Wei and Colleen can be on the same page= x
Expressions:The total number of pages Li Wei can read = 90 + 30x
The total number of pages Colleen can read = 126 + 24x
For Li Wei and Colleen to be on the same, the two expressions are equated.
90 + 30x = 126 + 24x
6x = 36
x = 6
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Identify a, b, and c of the quadratic equation and solve using the Quadratic Formula x^2 - 8x + 15=0
Given the quadratic equation:
\(\text{ x}^2\text{ - 8x + 15 = 0}\)Recall that the standard form of a quadratic equation is:
\(\text{ ax}^2\text{ + bx + c = 0}\)The given equation is already in standard form, therefore, we can now proceed identifying what is a, b and c.
We get,
\(\text{ ax}^2\text{ + bx + c = 0}\)\(\text{ (1)x}^2\text{ + (-8)x + (15) = 0}\)Therefore,
a = 1
b = -8
c = 15
I really need help and my paper is due at the end of the day today at 1:49pm can someone help me ???
Answer:
The pencils at store A cost more.
Step-by-step explanation:
First find the price of one pencil at store A
y=0.55(1)=
y=0.55
One pencil at store A costs 0.55
Now find the price of one pencil at store B
3.06/6=
0.51
One pencil at store B costs 0.51
0.55>0.51 so The pencils at store A cost more.
Hope this helps!
Which relationships would most likely be causal? Select two options.
a positive correlation between the number of homework assignments completed and the grade on the exam
a positive correlation between the temperature in a canyon in the early spring and the number of snakes seen by
hikers
a positive correlation between a child's shoe size and reading speed
a negative correlation between the time a glass of ice water sits on the counter and its temperature
a positive correlation between the number of students attending football games and the number of games that are
won
Answer:
A and B
Step-by-step explanation:
The relationships that are most likely to be causal are:
A positive correlation between the number of homework assignments completed and the grade on the examA positive correlation between the temperature in a canyon in the early spring and the number of snakes seen by hikers.When are relationships causal?A relationship is causal when one variable has a direct effect on another variable. For example, the number of assignments completed would have an effect on the grade on an exam because as a students compeletes his assingment he becomes more familiar with the course.
Positive correlation means that the two variables have a positive relationship with each other. If one of the variable increases, the other vairable increases.
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A man buys an article for $600 and sells it for $710. what is his profit or loss
Answer:
Profit of $110
Step-by-step explanation:
$710-$600=$110
In ΔQRS, q = 4.9 cm, r = 7.1 cm and ∠S=70°. Find the area of ΔQRS, to the nearest 10th of a square centimeter.
Answer:16.3
Step-by-step explanation:
Delta math
PLEASE HELP EASY!!!!!!
Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.
What salary will workers have in each salary?Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.
On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.
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Why is it important to have high
quality audio files
Answer:
TO HEAR BETTER
Because as quality increases the tone increases
You roll a die 2 times. What is the probability or rolling a 6 and then a 2?
Answer:
1 out of 6
Step-by-step explanation:
Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
Which is the minimum or maximum value of the given function?
The minimum value of the function is -3
Calculating the minimum or maximum value of the function?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a minimum value
This minimum value represents the vertex of the graph
And it is located at (-4, -3)
So, we have
Minimum = -3
Hence, the minimum value of the function is -3
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Example 1: Every Number Has an Opposite
Locate the number 8 and its opposite on the number line. Explain how they are related to zero.
-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Exercises 2-3
2. Locate and label the opposites of the numbers on the number line.
9
-2
4
a.
b.
C.
8
Answer:
To locate the number 8 and its opposite on the number line, we can use the given number line:
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑ ↑
So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.
Now, let's address exercises 2-3:
a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
So, the opposites of the given numbers are:
9 → -9
-2 → 2
4 → -4
They are related to zero as equal distances on opposite sides of zero on the number line.
Step-by-step explanation:
I NEED AN ANSWER NOW ASAP
Answer:
Apparently i cant see the photo im am so sorry but do need pints.
Step-by-step explanation:
Answer:
option b & option c & option d
Step-by-step explanation:
option a: The left side − 0.475 is not less than the right side − 0.5 , which means that the given statement is false.
option b: The left side − 0.3 is less than the right side 0.1 , which means that the given statement is always true.
option c: The left side 9.05 is greater than the right side − 9.72 , which means that the given statement is always true.
option d: The left side 1.5 is equal to the right side 1.5 , which means that the given statement is always true.
-18 - 1/2(50z + 60) - 35z and 6(-12 - 10z + 4) both equivalent 12(-5z -4)?
Answer:
Yes! :)
Step-by-step explanation:
-18 - 25z - 30 - 35z = -48 - 60z = 12(-4 - 5z)
-72 - 60z + 24 = -48 - 60z = 12(-4 - 5z)
Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true
concerning these two values.
O a
The value of g(2) is larger than the value of g(-4).
Oь
Ос
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Od
Answer:
The value of g(2) is larger than the value of g(-4)
Step-by-step explanation:
2 is a larger number than -4, so automatically, the value of g(2) would be larger.
A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4blue marbles. A marble is chosen from the bag at random. What is the probability that it is red? Write your answer as a fraction in simplest form.
Answer:
5/12 is already in simplest form
Step-by-step explanation:
12m = 5r + 3y + 4b
red is chosen = 5r / 12 = 5/12
Step-by-step explanation:
the answer is 5/12. It's quite simple
Work out the length of x. Give your answer rounded to 3 significant figures. 13.3 mm 5.5 mm The diagram is not drawn accurately. X = 0 mm x
Step-by-step explanation:
Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.
To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.
Perimeter = 13.3 mm + 5.5 mm + X mm
The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.
To find X, we can subtract the sum of the known sides from the perimeter:
X mm = Perimeter - (13.3 mm + 5.5 mm)
Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.
PLEASE help it’s a multiple choice question i’ll mark u brainliest
The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these 45 "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with drop-in guests?
Answer:
667
Step-by-step explanation:
Answer:
It will be
1. 3
2.2
3.5
Step-by-step explanation:
HOpe this helps!
The overall regression F-statistic tests the null hypothesis that:____.
a. all slope coefficients are zero.
b. all slope coefficients and the intercept are zero.
c. the intercept in the regression and at least one, but not all, of the slope coefficients is zero.
d. the slope coefficient of the variable of interest is zero, but that the other slope coefficients are not.
Answer:
A
Step-by-step explanation:
F test is a statistical method used to determine which models best fits the population from which the sample is derived. It is a ratio of two variances. Variance measure the rate of dispersion
The formula for calculating f-test = explained variance / unexplained variance
There are two hypothesis in an f test :
1. the null hypothesis - all slope coefficient are equal to zero
the alternative hypothesis : at least one of the slope coefficient is not equal to zero
Given: RE = 2AR and RT = 2GR
Prove : ∆GAR ~ ∆TER
Answer:
Statement:- Reason:-
RE=2AR GivenRT=2GR---------
∠DRA≅∠TRE Vertical angles---------
RE/AR=RT/GR proportionality of sides---------
ΔGAR≈ΔTER SAS similarity theorem -------------------------Hope it helps...Have a great day!!Can anyone help, I am having difficulty with answering this question. Can someone please help me???! I WILL GIVE ALL OF MY POINTS PLUS BRANLIEST
Answer:
-3/1
Step-by-step explanation:
Hope that helps :)
Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π.
Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.
( , )
Answer:
(10, 5π/3)
Step-by-step explanation:
To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y/x)
Substituting the given values, we get:
r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10
θ = arctan((-5√3)/5) = arctan(-√3) = -π/3
Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:
θ = -π/3 + 2π = (5π/3)
Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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please help quickkkk
The expression that represents the area of the right-angled triangle with a base of 10 and height of 24 is 1/2 * 10 * 24.
To find the expression that represents the area of the right-angled triangle, we can use the formula for the area of a triangle, which is given by:
Area = (1/2) * base * height
In this case, the given measurements are:
Base = 10
Height = 24
Substituting these values into the formula, we get:
Area = (1/2) * 10 * 24
Simplifying the expression, we have:
Area = 5 * 24
Area = 120
Therefore, the expression that represents the area of the triangle is:
1/2 * 10 * 24
In the provided options, 1/2 * 10 * 24 is the correct expression for calculating the area of the triangle. The base and height are multiplied together, and then divided by 2 to account for the triangle's shape.
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