Help me please! If f(x) varies directly with x2 and f(x)=10 when x=−4, what is the value of f(x) when x = 3?
A. -14.4
B. -5.625
C. 5.625
D. 14.4
Answers
Answer:
the answer is d becaus of it's creation
Related Questions
Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions, and whole numbers.
i) 3/7 ii) 5/8 iii) 9/7 iv) 6/5 v) 12/7 vi) 1/8 vii) 1/11
Answers
The reciprocal of each of the following fractions:
i) 7/3 - improper fraction
ii) 8/5 - improper fraction
iii) 7/9 - proper fraction
iv) 5/6 - proper fraction
v) 7/12 - proper fraction
vi) 8 - whole number
vii) 11 - whole number
To find the reciprocal of a fraction, we simply invert the fraction by swapping the numerator and the denominator.
i) Reciprocal of 3/7: 7/3
- Classification: Improper fraction
ii) Reciprocal of 5/8: 8/5
- Classification: Improper fraction
iii) Reciprocal of 9/7: 7/9
- Classification: Proper fraction
iv) Reciprocal of 6/5: 5/6
- Classification: Proper fraction
v) Reciprocal of 12/7: 7/12
- Classification: Proper fraction
vi) Reciprocal of 1/8: 8/1 or simply 8
- Classification: Whole number
vii) Reciprocal of 1/11: 11/1 or simply 11
- Classification: Whole number
So, to summarize the classifications:
- Proper fractions: 7/9, 5/6, 7/12
- Improper fractions: 7/3, 8/5
- Whole numbers: 8, 11.
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Which expression is equivalent to
-32 3/5?
O -8
O -3√32^5
O 1/3√32^5
O 1/8
Answers
Answer:
-8 is the final answer
Step-by-step explanation:
-(2⁵)^3/5
-2³
-8
amazon is selling 24 pack of 3x3 sticky notes for 28.99 Each pack has 100 sticky notes. What is the price for each pack? How much is each single sticky note?
Answers
Given data:
Total packs 3x3 sticky notes: 24 packs
Cost of 24 packs: 28.99
Number of sticky notes in a pack: 100
With the information above, we can proceed to find the answers to the questions
Part A: What is the price for each pack?
Since 24 packs cost 28.99
Then 1 pack will cost =
\(\begin{gathered} \frac{28.99}{24}=1.208 \\ \text{which is appro}\xi mately\text{ 1.21} \end{gathered}\)Hence, a pack will cost $1.21
Part B: How much is every single sticky note?
Since each pack cost 1.21, and each pack has 100 sticky notes, then
each sticky note will cost
\(\frac{1.21}{100}=0.0121\)=> every single sticky note will cost $0.012
Razionalisacion de denominadores 3 v3 tres sobre raiz cuadrada de 3
Answers
Answer:
√3
Step-by-step explanation:
Spanish
Racionalización de denominadores 3 / v3 tres sobre raíz cuadrada de 3
da
Usando el método de índices
3 / √3 = 3¹ / 3¹ / ²
= 3¹ / 3⁰.⁵
= 3¹⁻¹ / ²
= 3 ¹ / ²
= √3
Esto también se puede resolver multiplicando tanto el numerador como el denominador por √3
3 / √3 * √3 / √3
= 3√3 / √3 * 3
= 3√3 / √9
= 3√3 / 3
Los tres se cancelan y nos queda √3
English
Rationalization of denominators 3 /v3 three over square root of 3
gives
Using the method of indices
3 / √3 = 3¹/ 3¹/²
= 3¹/ 3⁰.⁵
= 3¹⁻¹/²
=3 ¹/²
=√3
This can also be solved multiplying both the numerator and the denominator by √3
3 / √3 * √3/√3
= 3√3/ √3*3
= 3√3/ √9
= 3√3/ 3
The three are cancelled and we are left with √3
Juliana invested $3,300 at a rate of 6.25% p.a. simple interest.
How many days will it take for her investment to grow to $3,450? 1
days Round up to the next day
Answers
To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest
I = P * r * t.
I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,
Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.
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Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
three
vertices
triangle
triangle
three
vertices
Figure A
Figure B
A. Figure A
B. Figure B
SUBMIT
HELP PLZ
Answers
Answer:
I think it's A, because all triangles have 3 vertices.
Step-by-step explanation:
What is the distance between the points?
Enter your answer as a number, without units.
Round your answer to one decimal place, if necessary, like this: 42.5
Answers
The distance between the points is equal to 11.7 units.
How to calculate the distance between the two corners?Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represents the data points (coordinates) on a cartesian coordinate.
Substituting the given parameters into the distance formula, we have the following;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(8 - (-3))² + (1 - (-3))²]
Distance = √[(11)² + (1 + 3)²]
Distance = √[(11)² + (4)²]
Distance = √(121 + 16)
Distance = √137
Distance = 11.7047 ≈ 11.7 units.
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What is the volume of the triangular prism below?
Answers
Answer:
210 \(cm^3\)
Step-by-step explanation:
The formula of solving the volume of a triangular prism is:
volume = (height x base x length)^3 / 2
First, put in the numbers:
V = \(\frac{(2cm*7cm*30cm)^3}{2}\)
V = \(\frac{(14cm*30cm)^3}{2}\)
V = \(\frac{420^3}{2}\)
V = \(210\) \(cm^3\)
Brian is solving the equation x squared minus three-fourths x = 5. What value must be added to both sides of the equation to make the left side a perfect-square trinomial?
Answers
Answer:
Term to add is (3/8)^2 = 9/64
Step-by-step explanation:
Here, we want to know the value that must be added to make the equation a perfect square.
x^2 - 3/4x = 5
x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5
x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2
= (x-3/8)^2 = 5 + (3/8)^2
So the term to add is (3/8)^2 = 9/64
Answer:
\(\dfrac{9}{64}\)
Step-by-step explanation:
Given the equation: \(x^2-\frac{3}{4}x=5\)
To make the left hand side of the equation a perfect trinomial, we follow these steps.
Step 1: Divide the coefficient of x by 2.
Coefficient of x \(=-\frac{3}{4}\)
\(-\frac{3}{4} \div 2 =-\frac{3}{8}\)
Step 2: Square your result from step 1
\(\implies (-\frac{3}{8})^2 \\=\dfrac{9}{64}\)
Therefore, to make the Left-Hand side a perfect-square trinomial, we add 9/64.
a triangle ∆p qr has vertices p(2, −1, 0), q(1, −2, −3), r(3, 0, −3). use the distance formula to decide which one of the following properties the triangle has.
Answers
In this case, since the lengths of sides PQ and RP are both √11, while the length of side QR is 2√2, we can conclude that the triangle ∆PQR is a scalene triangle.
To determine which property the triangle ∆PQR has, we can use the distance formula to calculate the lengths of its sides and examine certain properties based on the obtained values.
Let's calculate the lengths of the sides:
Side PQ:
∆x = 1 - 2 = -1
∆y = -2 - (-1) = -1
∆z = -3 - 0 = -3
Length PQ = √((-1)^2 + (-1)^2 + (-3)^2) = √(1 + 1 + 9) = √11
Side QR:
∆x = 3 - 1 = 2
∆y = 0 - (-2) = 2
∆z = -3 - (-3) = 0
Length QR = √(2^2 + 2^2 + 0^2) = √8 = 2√2
Side RP:
∆x = 2 - 3 = -1
∆y = -1 - 0 = -1
∆z = 0 - (-3) = 3
Length RP = √((-1)^2 + (-1)^2 + 3^2) = √(1 + 1 + 9) = √11
Based on the lengths of the sides, we can determine the property of the triangle:
If all three side lengths are equal, the triangle is an equilateral triangle.
If two side lengths are equal, the triangle is an isosceles triangle.
If all three side lengths are different, the triangle is a scalene triangle.
In this case, since the lengths of sides PQ and RP are both √11, while the length of side QR is 2√2, we can conclude that the triangle ∆PQR is a scalene triangle.
'
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Use the theorem given below to show that if two rows of a square matrix are equal, then det A=0. The same is true for two columns. Why?
Let A be a square matrix.
a. If a multiple of one row of A is added to another row to produce a matrix B, then det B = det A.
b. If two rows of A are interchanged to produce B, then det B = - det A.
c. If one row of A is multiplied by k to produce B, then det B = k det A.
Answers
if p = 2-5 and q = 8x3 find 3p-q
Answers
Answer:
3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.
A study is performed involving two remedies for midwest farm crops who experienced the worst drought in years. In the midwest, 450 crop fields were given randomly one of two remedies. Specifically, 220 were given Remedy A and 230 were given Remedy B. A total of 74 of the 450 crop fields were salvageable, 35 from Remedy A group and 39 from Remedy B group. A significance test was performed for the following hypotheses and resulted in a p-value of 0.3822: H0: Salvage rates are the same for Remedy A and B Ha: Remedy B has a greater salvage rate Part A: Interpret the p-value in terms of the context. (3 points) Part B: Using a significance level of α = 0.05, what can you conclude from the context of this study? (4 points) Part C: Based on your conclusion in part B, which type of error—Type I or Type II—could have been made? What is one potential consequence of this error? (3 points)
Answers
Answer:
Explained below.
Step-by-step explanation:
(A)
The p-value is well defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.
The p-value of the test was, p = 0.3822.
That is the probability that Remedy B has a greater salvage rate than A is 0.3822, given that rates are the same for Remedy A and B.
(B)
The significance level of the test is: α = 0.05.
A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀. A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
The p-value of the test is very large. The null hypothesis will not be rejected.
Concluding that salvage rates are the same for Remedy A and B.
(C)
A type II error is a statistical word used within the circumstance of hypothesis testing that defines the error that take place when one is unsuccessful to discard a null hypothesis that is truly false.
In this case a type II error could have been made as the null hypothesis was not rejected.
The type II error could have been made because of the following reasons:
The sample size selected is too small. Significance level of the test must be small.As the sample selected is quite large, the only potential consequence of this error is that the significance level of the test must be small.
if one card is randomly selected from a well-shuffled standard deck of 52 cards, what is the probability that the card selected is a queen? leave your answer as a reduced fraction.
Answers
If one card is randomly selected from a well-shuffled standard deck of 52 cards, the probability that the card selected is a queen is 1/13. This is because there are 4 queens in a deck of 52 cards, therefore, the probability of getting one queen out of the 52 cards is 4/52, which can be simplified to 1/13.
The probability that the card selected is a queen is calculated using the formula:
P(E) = n(E) / n(S)
where:
P(E) = probability of an event
n(E) = number of ways an event can happen
n(S) = total number of possible outcomes
In this case, n(E) is 4 (since there are 4 queens in a deck of 52 cards), and n(S) is 52 (since there are 52 cards in a deck), so:
P(E) = 4 / 52
P(E) = 1/13
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4.25 -2.5x = 14.75
I need help
Answers
\(\text {Hey! Let's Solve this Equation!}\)
\(\text {\underline {The First Step is to do Keep Change Change (KCC)}}\)
\(\text {Keep: 4.25}\\\text {Change: - into +}\\\text {Change: 2.5x into -2.5x}\)
\(\text {\underline {The Next Step is to Flip the Equation}}\)
\(\text {Before: 4.25+-2.5x=14.75}\\\text {After: -2.5x+4.25=14.75}\)
\(\text {\underline {The Next Step is to Subtract 4.25}}\)
\(\text {-2.5x+4.25-4.25=14.75-4.25=10.5}\\\text {-2.5x=10.5}\)
\(\text {\underline {The Final Step is to Divide -2.5}}\)
\(\text {-2.5x/-2.5=10.5/-2.5}\)
\(\text {Remember that Dividing a Positive to a Negative will Equal a Negative.}\)
\(\text {Your Answer Would Be:}\)
\(\fbox {x=-4.2}\)
\(\text {Best of Luck!}\)
Hey there!☺
\(Answer:\boxed{x=-4.2}\)
\(Explanation:\)
\(4.25-2.5x=14.75\)
Let's start by simplifying both sides in the equation.
\(4.25+-2.5x=14.75\\-2.5x+4.25=14.75\)
Now we subtract 4.25 from both sides in the equation.
\(-2.5x+4.25-4.25=14.75-4.25\\-2.5x=10.5\)
Now in our third/final step, we will divide both sides by -2.5.
\(\frac{-2.5x}{-2.5}= \frac{10.5}{-2.5}\)
Now we simplify 10.5/-2.5.
\(\frac{10.5}{-2.5}=-4.2\)
\(x=-4.2\)
Hope this helps!
The product of 5 and y is equal to 45.
need help
Answers
Answer:
y is -4.55
Step-by-step explanation:
Answer:
9 would be the correct solution to this question?
4. Which expression is a simplified form of -5(8x)?
a. 40x
b. -40%
C. 3x
d. -40x?
Answers
Answer:
Option d
Step-by-step explanation:
-5(8x)
= -5×8×x
= -40x
Answered by GAUTHMATH
help please!! picture included!
Answers
Answer:
270
2 adults: 42+42=84
3 children: 34+34+34=102
rent 2 skis: 32+32=64
16 oz hot chocolate to each person (5 people): 4+4+4+4+4=20
Total: 84+102+64+20=270$
Plssssss help me quickly
Answers
The given system of equations have infinitely many solutions and lines of both will overlap. (graph is attached)
What is a system of equations?A "system" of equations is a set or collection of equations that you deal with all together at once.
Given is a system of equations
y = 6+x
y = x+6
Here, the slope and y-intercept is same for both the lines,
We know that, If the two lines have the same y-intercept and the slope, they are actually overlapping lines.
Hence, the given system of equations have infinitely many solutions and lines of both will overlap.
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If the domain is 1,2,3,4 what is the range
Answers
Explanation:
You use a line of best fit set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.793. How confident can you be that your predicted value will be reasonable close to the actual value?
Answers
Answer:
Moderately confident
Step-by-step explanation:
Given that :
Correlation Coefficient = 0.793
The correlation Coefficient gives the strength of relationship between linear variables ranging from - 1 to 1.with values close to either - 1 or 1 depicting strong negative or positive correlation respectively, while values close to 0 signifies a weak correlation. Since the correlation Coefficient Given by the model is close to 1(0.793) one can be moderately confident that the value obtained from the model will be reasonably close to the actual value.
Average Tim correctly answers 12 out of 18 questions in a trivia game assuming the situation is proportional how many more questions is he likely to get correct if there are 30 questions and all
Answers
Answer:
Step-by-step explanation:
12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions
So if there are 30 questions total, he will get 20 right (30 x 2/3)
If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct
Suppose you wish to measure the impact of smoking on the weight of newborns. You are planning to use the following model, log(bw i
)=β0+β1 male i
+β2 order i
+β3y i
+β4cig i
+ϵ i
where bw is the birth weight, male is a dummy variable assuming the value 1 if the baby is a boy or 0 otherwise, order is the birth order of the child, y is the log income of the family, cig is the amount of cigarettes per day smoked during pregnancy, i indexes the observation and the β 's are the unknown parameters. (a) What could be the problem in using OLS to estimate the above model? (b) Suppose you have data on the average price of cigarettes in the state of residence. Would this information help to identify the true parameters of the model? (c) Use data on BirthWeight.dta to estimate the model above. Use OLS and 2SLS. Discuss the results. (d) Estimate the reduced form for cig. Discuss
Answers
a) Using OLS to estimate the model may lead to biased and inconsistent results due to potential endogeneity.
b) Data on the average price of cigarettes in the state of residence, potentially help identify the true parameters of the model.
c) The 2SLS estimates would be more reliable and provide a better understanding of the true relationship between smoking and birth weight.
d) Estimating the reduced form for cig, we can assess the validity of the instrumental variable
(a) The problem with using Ordinary Least Squares (OLS) to estimate the above model is that the error term, εi, may be correlated with one or more of the explanatory variables. In this case, there might be endogeneity issues, where the variable cig (amount of cigarettes per day smoked during pregnancy) is likely to be correlated with the error term.
This violates one of the key assumptions of OLS, which is the absence of correlation between the error term and the explanatory variables.
(b) Having data on the average price of cigarettes in the state of residence could potentially help identify the true parameters of the model. This information can be used as an instrumental variable (IV) for the variable cig.
An instrumental variable is a variable that is correlated with the endogenous variable (cig) but is not correlated with the error term. By using an IV approach, such as 2SLS (Two-Stage Least Squares), we can obtain consistent estimates of the true parameters of the model, even in the presence of endogeneity.
(c) To estimate the model using OLS and 2SLS, you would need access to the data on birth weight (bw), male (dummy variable), order (birth order of the child), y (log income of the family), cig (amount of cigarettes per day smoked during pregnancy), and other relevant variables. OLS would provide estimates of the parameters under the assumption of no endogeneity
. However, 2SLS would be preferred in this case, as it addresses the potential endogeneity issue by using instrumental variables.
After estimating the model using both OLS and 2SLS, you should compare the results. If the OLS estimates are significantly different from the 2SLS estimates, it suggests the presence of endogeneity.
In this case, the 2SLS estimates would be more reliable and provide a better understanding of the true relationship between smoking and birth weight.
(d) To estimate the reduced form for cig, you would need to regress the variable cig on other exogenous variables that are not included in the main model. The reduced form would provide the relationship between the instrumental variable (average price of cigarettes) and cig. By estimating the reduced form, you can assess the validity of the instrumental variable and its relevance in addressing the endogeneity issue.
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find the value of a from the following 1. sin3a=cos3a
Answers
✏Answer:
Sin3A=Cos3A
Cos(90-3A)=Cos3A
90-3A=3A
90=3A+3A
90=6A
90/6=A
A=15^•^
The answer is A=15
1. Write an inequality that models the situation: Water freezes at O degreesCelsius or less.
Answers
let x be the temperature. we get that:
\(x\le0\)Mia needs to order some new supplies for the restaurant where she works. The
restaurant needs at least 690 knives. There are currently 208 knives. If each set on
sale contains 10 knives, write and solve an inequality which can be used to determine
x, the number of sets of knives Mia could buy for the restaurant to have enough
knives.
Answers
Using inequality, we know that Mia needs to buy 41 sets of knives.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Relationships between two expressions that aren't equal to one another are known as inequalities. Inequalities are represented by the symbols, >, <, ≤, ≥, and ≠ has the meaning "7 is greater than" (or "is less than 7," when read left to right).So, the number of sets of knives Mia could buy:
There are currently 248 knives in the restaurant.There are 10 knives in each set that is for sale, so there are 10s knives added to each set.If s sets are purchased, there will be a total of, T = 248 + 10s.At least 657 knives are required by the restaurant, so:
T ≥ 657The difference is:
10s + 248 ≥ 657Now, solve as follows:
10s ≥ 409s ≥ 409/10s ≥ 40.9Rounding off: 41
Therefore, using inequality, we know that Mia needs to buy 41 sets of knives.
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a client shows you the greek vanilla yogurt he eats for breakfast most mornings. determine the calories from protein if the client eats 3/4 cup. 54 calories 72 calories 122 calories 162 calories
Answers
The number of calories from protein if the client eats 3/4 cup is 54 calories. So, the correct option is 54 calories.
Calories are a unit of energy. The energy needed to raise the temperature of 1 gram of water through 1 °C is equal to one calorie. Calories are the energy that food supplies to the body.
Calories from protein: Protein supplies 4 calories per gram. To calculate the total number of calories from protein, you must first know the amount of protein that the food item contains.
To calculate the calories from protein in Greek vanilla yogurt: Greek vanilla yogurt contains about 10 grams of protein per cup.
Therefore, Calories from protein = Protein x 4 = 10 x 4 = 40 Calories per 1 cup Greek vanilla yogurt
If the client eats 3/4 of a cup of Greek vanilla yogurt, the number of calories from protein would be:
Calories from protein = 40 Calories x 3/4 cup = 30 Calories
Hence, the correct answer is 54 calories.
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what is the unit rate for each size of peanut butter? family size 40 oz price 7.60
Answers
what is the unit rate for each size of peanut butter? family size 40 oz price 7.60
we know that
To find out the unit rate, divide the total price by the total weight
so
$7.60/40 oz=$0.19 per oz
therefore
the unit rate is $0.19 per ozSolve each equation.
10. 5n - 16 - 8n = -10
What the answer to this please
Answers
Answer:
n = -2
Step-by-step explanation:
5n - 16 - 8n = -10
Combine like terms
-3n -16 = -10
Add 16 to each side
-3n-16+16 = -10+16
-3n = 6
Divide by -3
-3n/-3 = 6/-3
n = -2
Solution :-
=> 5n - 16 - 8n = -10 .
=> 5n - 8n - 16 = -10.
=> -3 n = 16 - 10.
=> - 3n = 6 .
=> n = 6 / -3 .
=> n = -2 .
‘I-Moons’ charges $12 per album downloaded and an initial joining fee of $3. ‘I-Toons’ Charges $10 per album downloaded and a joining fee of $9. Write a system of linear equations that models this situation.
Answers
I-moom equation is 12x+3
I-toons equation is 10x+9