Answer:
Step-by-step explanation:
f(x) = x^2
reflect along the x-axis
g(x) = -x^2
expand vertilcally by a factor of 1/3
g(x) = (-1/3) x^2
move horizontally 4 units to the left
g(x) = (-1/3) (x+4)^2
hope this helps
Answer:
B. The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 4 units to the left.
Step-by-step explanation:
The \(\frac{-1}{3}\) is less than one, making it stretch wider, and the (-) made it flip over the x-axis. The +4 in \((x+4)^2\) made the function on the graph shift 4 units to the left.
This makes the correct answer be "B."
Someone, please help with this Calculus problem!!! ASAP
Answer:
(C) 13/6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeFunction Notation
Exponential Properties: \(\sqrt[n]{x} = x^\frac{1}{n}\)
Calculus
The definition of a derivative is the slope of the tangent line.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = ∛x
Tangent Line Point (8, 2)
Find approximation of f(10)
Step 2: Differentiate
Rewrite Function: \(f(x) = x^\frac{1}{3}\)Differentiate [Basic Power]: \(f'(x) = \frac{1}{3} x^{\frac{1}{3} -1}\)Simplify Derivative: \(f'(x) = \frac{1}{3} x^{\frac{-2}{3}}\)Rewrite Derivative: \(f'(x) = \frac{1}{3x^{\frac{2}{3} }}\)Step 3: Find Equation of Tangent Line
Tangent Point (8, 2)
Find instantaneous slope
Substitute in x: \(f'(8) = \frac{1}{3(8)^{\frac{2}{3} }}\)Exponents: \(f'(8) = \frac{1}{3(4)}\)Multiply: \(f'(8) = \frac{1}{12}\)This is our slope of the tangent line at (8, 2)
Find instantaneous equation
Substitute [PSF]: \(y - 2 = \frac{1}{12} (x-8)\)Step 4: Find Approximation
Evaluation f(10)
Substitute in x: \(y - 2 = \frac{1}{12} (10-8)\)Subtract: \(y - 2 = \frac{1}{12} (2)\)Multiply: \(y - 2 = \frac{1}{6}\)Isolate y: \(y = \frac{1}{6} + 2\)Add: \(y = \frac{13}{6}\)Here we see that the approximation would be 13/6 using the tangent line approximation (calculus). Therefore, C is the correct answer.
Jen has a bag of marbles. There are 5 blue, 6 red and 7 white marbles in the bag. Jen pulls out a blue marble and does not replace it. What is the probability that Jen will get another blue marble?
Answer:
75%
Step-by-step explanation:
Answer:
4/18
Step-by-step explanation:
It would be a 4/18 chance she would get another blue marble, because first you add all of the marbles together which is 5+6= 11 + 7 = 18, so there are 5 blue marbles, and we have a chance of pulling another blue one 5/18 but since we already took one out, there are only 4 blue marbles left, so it's a 4/18.
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
Forty percent of seeds from maize (modern-day corn) ears carry single spikelets, and the other 60% carry paired spikelets. A seed with single spikelets will produce an ear with single spikelets 29% of the time, whereas a seed with paired spikelets will produce an ear with single spikelets 26% of the time. Consider randomly selecting ten seeds.
a. What is the probability that exactly five of these seeds carry a single spikelet and produce an ear with a single spikelet?
b. What is the probability that exactly five of the ears produced by these seeds have single spikelets? What is the probability that at most five ears have single spikelets?
Answer:
a)P ( A∩S) = 0.116
b) P (x= 5) =0.272
c) P (at most 5) = 0.950647
Step-by-step explanation:
Let A be an event that the maize (modern-day corn) ears carry single spikelets and B be an event that the maize carry paired spikelets.
Then P (B) = 60% = 0.6
P (A) = 1-P (b) = 0.4
Let S be the event that seed with single spikelets will produce an ear with single spikelets and Q be the event that seed with paired spikelets will produce an ear with single spikelets .
Then
P (S) = 29% = 0.29
P (Q ) = 26% = 0.26
n= 10
We want to find out that exactly 5 single spikelets seeds produce single spikelets .
P ( A∩S) = P(A) *P(S) = 0.4 * 0.29= 0.116
Now we have to find that exactly five of the ears produced by these seeds have single spikelets.
b) P (x= 5) = P(A) *P(S)+ P(B) *P(R)
= 0.4 * 0.29 + 0.6 * 0.26
= 0.116+ 0.156= 0.272
At most five ears have single spikelets.This follows a binomial distribution where n is fixed and also p and q are same.
P ( x= at most 5) = 10C5 ( 0.116)^ 5(0.884)^5 +10C4 ( 0.116)^ 4(0.884)^6+10C3 ( 0.116)^ 3(0.884)^7+10C2 ( 0.116)^ 2(0.884)^8 +10C9 ( 0.116)^ 1(0.884)^9+10C10 ( 0.116)^ 0(0.884)^10
=0.002857+0.018145+ 0.0000234+0.2558+ 0.3824+ 0.29144
= 0.950647
Here are the ages (in years) of 10 professors at a college. 44, 38, 45, 34, 28, 56, 54, 28, 61, 48 What is the percentage of these professors who are younger than 47?
Explain your steps to solve 3x +4/+2 = 29.
Answer:
X=18
Step-by-step explanation:
3x+4/2 = 29
Multiply both sides by 2 :
2(3x+4)/2 = 29*2
Simplify :
3x+4= 58
Subtract 4 from both sides :
3x + 4 - 4 = 58 - 4
Simplify :
3x = 54
Divide both sides by 3:
3x / 3 = 54 /3
Simplify :
X = 18
Hope it Helps :) !!!!
Please help!!!!
Let p: A shape is a triangle. Let q: A shape has four sides. Which is true if the shape is a rectangle? p ∨ q p ∧ q p → q q → p.
Answer:
p ∨ q
Step-by-step explanation:
I took the test and got a 100
The correct statement for the shape being a rectangle is p ∨ q
What is a triangle?Any figure bounded by 3 sides and sum of all the internal angles is 180° is called a triangle.
What is a rectangle?Any figure bounded by four sides, where the opposite sides are equal and all the internal angles are 90° is called a rectangle
How to know which is true if the shape is a rectangle?As we know a triangle cannot have four sides, so p cannot imply q and vice versa.
According to the problem,
A shape is a triangleA shape has four sidesThis is a contradiction.
So for the shape being a rectangle the correct option will be p v q(p intersection q)
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Given m ∥ n, find the value of x.
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
what is −2(x+6)=4x
x=
Answer:
x=-2
Step-by-step explanation:
Distribute, add 12 to both side, then simplify
Answer: -2
Let's solve your equation step-by-step.
−2(x+6)=4x:
Step 1: Simplify both sides of the equation.
−2(x + 6) = 4x
(−2)(x) + (−2)(6) = 4x (Distribute)
−2x + (−12) = 4x
−2x − 12 = 4x
Step 2: Subtract 4x from both sides.
−2x − 12 − 4x = 4x − 4x
−6x − 12 = 0
Step 3: Add 12 to both sides.
−6x − 12 + 12 = 0 + 12
−6x = 12
Step 4: Divide both sides by -6.
−6x/−6 = 12/−6
x = −2
3(2x+1)=7x-2 find the value of x
Answer:
5
Step-by-step explanation:
3(2x+1)=7x-2
6x + 3 = 7x - 2
6x - 7x = -2 - 3
-x = -5 /(-1)
x = 5
Answer:
5
Step-by-step explanation:
3 ( 2x + 1 ) = 7x - 2
Step 1 : Remove the parentheses
6x + 3 = 7x - 2
Step 2 : Move the variable to the left-hand side and move extra number the right-hand side
6x + 3 = 7x - 2
-7x -3 -7x -3
6x - 7x = -2 - 3
Step 3 : Combine like terms
-x = -5
Step 4 : Change the sign to make x positive
x = 5
SOLUTION : x = 5
Hope this helps :)
What should be the third row in the following series of shapes
Answer:
The answer is number 2
Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these properties
The two properties newton used to rewrite the expression are;
- Associative Property; Because it involves change of grouping of numbers in the expression.
- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.
This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;- Associative Property
- Commutative Property
- Distributive Property
Let us define each of them;
1) Associative Property; This property in algebra is one that means that no
matter how we group the numbers, we will still get the same result. e.g.
x + (y + z) = (x + y) + z.
2) Commutative Property; This property means that we can change the
order of operation and still get the same answer. For example;
p × q × r = p × r × q
3) Distributive Property; This property means that multiplying the sum of
two or more which are in a bracket by a number outside the will be equal to
the answer gotten when we multiply each number in the bracket
individually by the number outside and then adding their respective
products together. For example; p(q + r) = (p * q) + (p * r)
Newton has the expression; (4 × 23) × 25
Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.
For the associative property as shown above, he will arrive at;(4 × 23) × 25 = 4 × (23 × 25)
For the distributive property as shown above, he will arrive at;(4 × 23) × 25 = (25 × 4) + (25 × 23)
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Twenty four blood samples were selected by taking every seventh blood sample from racks holding 199 blood samples from the morning draw at a medical center ANSWER BOTH A AND B
a. FPCF for this sample is FPCF = √(199/24) = 2.89.
b. The population cannot be considered effectively infinite, so the answer is no.
What is FPCF?When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.
The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.
a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:
FPCF = √(N/n)
where N is the population size, and n is the sample size.
In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).
FPCF = √(199/24) = 2.89 (rounded to two decimal places)
b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.
In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.
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solve using substitution
x^2 -4x+20=0
Answer:
Step-by-step explanation:
x^2 - 4x + 20 = 0
x^2 - 4x = -20
x^2 = 4x - 20
x = 2x - 4.47
-3x = -4.47
x = roughly 1.5
A 25 lb. bag Balkfoods Small Red Beans cost $52.92. What is the unit price
per Ib?
Answer:
$2.1 per pound
Step-by-step explanation:
price/pounds
52.92 / 25 = 2.1
Prove the Identity Cosec A Sec²A = Cosec A + tan A Sec A
Step-by-step explanation:
LHS= cscA sec²A
= ( 1/sinA) (1/cos²A)
= 1/ sinAcos²A
= (cos²A+sin²A)/sinAcos²A
= 1/sinA + sinA/cos²A
= cscA + sinA/cos²A
= cscA + tanA secA
=RHS
Question 11 Batches of a chemical contain random amounts of lead with a mean value of 6.0 mg and a standard deviation of 2.0 mg. If 50 batches are prepared, the probability that their average amount of lead is greater than 6.5 mg is:
Answer:
0.0384
Step-by-step explanation:
Given that:
Mean (m) = 6.0
Standard deviation (s) = 2.0
Sample size (n) = 50
Probability that average amount is greater than 6.5
P(x > 6.5)
Obtain the Zscore using the relation :
Zscore = (x - m) / (s / sqrt(n))
Zscore = (6.5 - 6.0) / (2 / sqrt(50))
Zscore = 0.5 / 0.2828427
Zscore = 1.7677
Zscore = 1.77
P(Z > 1.77) = 1 - P(Z < 1.77)
P(Z > 1.77) = 1 - 0.9616
P(Z > 1.77) = 0.0384
Answer:
4.2%
Step-by-step explanation:
n=50, X=6.0, δ=2.0
Z=\(\frac{6.5-6.0}{2.0}\) = 0.25
F(Z)= 4.2% based on the chart in the FE Handbook
What is greater than 786.2 and less than 786.3 as a decimal
Answer:
My guess would be 786.25 since its true :)
Answer:
786.25
Step-by-step explanation:
Really anything between 786.21 to 786.29
(b) A number increased by -8 is greater than 12
Answer:
x+-8 > 12 Hope this helps.
A sandwich shop sell sandwiches for $5 each and bottles of water for $1 each. The owner of this shop needs to earn a total of $100 by the end if the day
Answer:
66 day.
Step-by-step explanation:
have a great day
What is Jaime’s speed if he ran 12 miles in h hours? (He was running with the same speed all that time, believe it or not.) PLS HELP ASAP
Jaime’s speed is 12/h miles per hour .
What is speed ?Speed is the pace at which an object moves along a path in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar value.Speed can be defined as the pace at which an object travels a given distance. A fast-moving object has a high speed and covers a great distance in a short amount of time, whereas a slow-moving object covers a little distance in the same amount of time.The distance traveled per unit of time is referred to as speed. It is the rate at which an object moves. The magnitude of the velocity vector is represented by the scalar quantity speed. It lacks a sense of direction.Jaime’s ran 12 miles in h hour.
His speed = Distance / time = 12 miles / h hour = 12/h miles per hour
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Each of the 9 reindeer have 8 jingle bells on their collar. There are 12 more bells on the reins. How many bells in all?
Answer: 84 bells
Step-by-step explanation:
12 + 9x8
84
Which of the following statements are true?
A) If two angles form a linear pair, then the angles are supplementary.
B) If two angles are right angles, then the angles are complementary.
C) If two angles have the same measure, then the angles are congruent.
D) If two angles are supplementary, then the angles are acute.
Answer:
There are two statements that are correct, A and C.
A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.5 mm and a standard deviation of 2.5 mm. What percent of the butterflies had the following wingspans? A. Less than 48.9 mm B. Between 49 and 55
Answer:
A. 7.5%
B. 68.26%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 52.5 mm and a standard deviation of 2.5 mm.
This means that \(\mu = 52.5, \sigma = 2.5\)
A. Less than 48.9 mm
The proportion is the pvalue of Z when X = 48.9. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{48.9 - 52.5}{2.5}\)
\(Z = -1.44\)
\(Z = -1.44\) has a pvalue of 0.075
0.075*100% = 7.5%, which is the answer.
B. Between 49 and 55
The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So
X = 55
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{55 - 52.5}{2.5}\)
\(Z = 1\)
\(Z = 1\) has a pvalue of 0.8413
X = 49
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{49 - 52.5}{2.5}\)
\(Z = -1\)
\(Z = -1\) has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826*100% = 68.26%, which is the answer.
The percent of the butterflies had the given wingspans are;
A) 7.5%
B) 76.64%
We are given;
Population mean; μ = 52.5 mm
Population standard deviation; σ = 2.5 mm
Formula for z-score is;
z = (x' - μ)/σ
A) For less than 48.9 mm,P(X' < 48.9);
z = (48.9 - 52.5)/2.5
z = -1.44
From online p-value from z-score calculator, we have;
P(X' < 48.9) = 0.075 or 7.5%
B) For x' between 49 and 55, P(49 < X < 55)
At x' = 49;
z = (49 - 52.5)/2.5
z = -1.4
Z-score at x' = 55;
z = (55 - 52.5)/2.5
z = 1
From online p-value from z-score calculator, the p-value between the two z-scores is;
p = 0.7664 or 76.64%
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What equation is generated if f(x) = x is moved to the right 5 units and then down 8 units?
A.) f(x) = (x – 5) – 8
B.) f(x) = (x – 8) + 5
C.) f(x) = (x – 8) – 5
D.) f(x) = (x + 5) – 8
Answer: A) f(x) = (x-5)-8
Explanation:
To shift 5 units to the right, we replace x with x-5. This moves the xy axis 5 units to the left to give the illusion the function curve moves 5 units to the right. The -8 at the end shifts the curve down 8 units.
Math
Practice solving.
1. What is the sum of -5/7 and 3/7?
2. Find the different of 5/12 - 3/4
3. Find the difference of 1/8 - 13/2
4. Find the sim of 2/3 and 1/3
5. Find the difference of 3/4 and 1/3
6. What is 3/5 x 4/6
7. What is -8/9 x 3/4
8. What is 2 2/3 x 4/5
9. What is 3/4 of 120
10. What is 2/3 of 360
11. What is 1/3 of 180
12. Multiply 16/24 by 8/20
13. Multiply 1/7 by 4/1
14. What is 1/5 x 8/1
15. Multiply 4/7 x 6/1
16. Divide 3/8 and 2/5
17. Divide 16/21 and 24/14
18. What is 4/5 divided by 7/10
19. What is -4/15 divided by 8/12
20. What is 4/6 divided by -8
Answer:
1. -2/7
2. 7/6
3. 53/8
4. do u mean sum? if yes then the answer is 1
5. 5/12
6. 2/5
7. -2/3
8.
9.90
10.240
11.60
12. 4/15
13.4/7
14.8/5
15.24/7
16.15/16
17.4/9
18.8/7
19.-2/5
20.-1/12
What’s the numerator for the following rational expression?s/t +7/t =?/t
The numerator of the indicated expression is s+7.
What are the common factors that make up 7?The numbers 7, 14, 21, 28, 35, and 42 are the multiples of 7. 3 and 7 only share 21 as their smallest common number. 21 is the least common denominator as a result. The denominators can be multiplied by one another to find the common denominator for two or more fractions.
We were given the following rational expression:
where p is the numerator and q is the denominator, is the general representation of the rational expression.
So, the expression we provide is:
Assuming the LCM, the following expression can be rewritten as
Comparing (1) with the above-mentioned general rational expression
The numerator of the given expression is p=s+7.
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HELPPPPPPPP ASAP!!!!! Which equation represents a parabola that has a focus of (0, 0)and a directrix of y=−6?
Answer:
D.
\(x^{2} =12( y + 3 )\)
Step-by-step explanation:
En un examen muy difícil de universidad, se obliga al profesor a aprobar al menos al 10%.
Calcular la nota a partir de la cual está obligado a aprobar siendo las notas (notas de 0 a 20): 0,
4, 1, 0, 0, 7, 2, 1, 4, 0, 3, 9, 2, 0, 0, 4, 8, 1, 0,9,4
9 es la nota minima (para aprobar) máxima tal que almenos el 10% de la clase apruebe el examen.
¿A partir de cual nota está obligado a aprobar?Hay 20 estudiantes, y un 10% debe aprobar el examen, es decir, almenos 2 estudiantes deben aprobar el examen.
Las notas de los 20 estudantes son:
{0, 4, 1, 0, 0, 7, 2, 1, 4, 0, 3, 9, 2, 0, 0, 4, 8, 1, 0, 9, 4}
Vemos que hay 2 estudiantes con la nota 9.
Esto significa que si el profesor define que la nota minima para aprobar el examen es 9, entonces dos estudiantes (el 10% de la clase) aprobaría el examen.
Entonces definimos 9 como la nota máxima tal que almenos el 10% de la clase apruebe el examen. (A medida que el valor de la nota decrese, el porcentaje de estudiantes aprobados incrementara).
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Find the volume of a rectangular prism with a length of 5cm and a height of 20cm, round to the nearest tenth of a cubic centimeter