Answer:
A
Step-by-step explanation:
Answer:
it is C
Step-by-step explanation:
Find the measure of combina
7. angle.
53°
85°
ΔABC with vertices A(-3,-3), B(6,3), and C(6,-9) is dilated by a scale factor of 1/3 from the origin. What are the coordinates of A'? *
Answer:
(-1,-1)
Step-by-step explanation:
Find the missing length.
C =
✓ [?]
C
7
9
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer:
c = √130
Step-by-step explanation:
Using Pythagorean theorem, c² = a² + b².
Where,
a = 9
b = 7
c = hypotenuse = ??
Thus:
c² = 9² + 7²
c² = 130
c = √130
Max has 42 baseball cards. Jordan has b baseball cards. Max has 6 times as many baseball cards as Jordan Decide if each statement is correct. Choose Yes or No for each statement
Answer:
where are the statement?
Step-by-step explanation:
8.
The easily accessible part of an emergency fund is _____.
savings
CDs
cash
credit cards
Answer:
Savings
Step-by-step explanation:
If you don't have a lot of money in general and an emergency occurs savings is the easiest way to go because you money money saved up for issues like these. But if u don't even have a savings account credit cards might be the way to go but it will damage your credit score pretty badly. So Savings is my final answer.
I need help on question b
Answer:
B=25
Step-by-step explanation:
Simply plug in 10 where x is
2(10)2(10-5)/10(10) = 25
Write a recursive formula for
Answer:
\(a(1) = 144\)
\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)
\(a(n) = - \frac{1}{6} a(n - 1)\)
Suppose that a category of world-class runners are known to run a marathon in an average of 147 minutes with a standard deviation of 12 minutes. Consider 49 of the races. Find the probability that the runner will average between 146 and 150 minutes in these 49 marathons. (Round your answer to two decimal places.)
Answer:
0.6524 = 65.24% probability that the runner will average between 146 and 150 minutes in these 49 marathons.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Average of 147 minutes with a standard deviation of 12 minutes.
This means that \(\mu = 147, \sigma = 12\)
Consider 49 of the races.
This means that \(n = 49, s = \frac{12}{\sqrt{49}} = \frac{12}{7} = 1.7143\)
Find the probability that the runner will average between 146 and 150 minutes in these 49 marathons.
This is the p-value of Z when X = 150 subtracted by the p-value of Z when X = 146. So
X = 150
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{150 - 147}{1.7143}\)
\(Z = 1.75\)
\(Z = 1.75\) has a p-value of 0.9599
X = 146
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{146 - 147}{1.7143}\)
\(Z = -0.583\)
\(Z = -0.583\) has a p-value of 0.3075.
0.9599 - 0.3075 = 0.6524.
0.6524 = 65.24% probability that the runner will average between 146 and 150 minutes in these 49 marathons.
find lim x approaches 3
f(x) = x^2 - 2
f(x) = -3x + 15. x> 3
The value of the limit of the function f(x) = x² - 2 is 7.
The value of the limit of the function f(x) = -3x + 15 is -6.
We have,
To evaluate the limit as x approaches 3, we need to find the limit of function f(x) as x approaches 3 from both sides of 3.
First, let's evaluate the limit from the left side of 3:
lim x → 3⁻ f(x) = lim x → 3⁻ (x^2 - 2)
Substituting x = 3 - h (where h approaches zero) gives:
lim h → 0⁺ [(3 - h)^2 - 2]
= lim h → 0⁺ [9 - 6h + h^2 - 2]
= lim h → 0⁺ [h^2 - 6h + 7]
= 7
(since the limit of a quadratic function as h approaches zero is the constant term)
Next, let's evaluate the limit from the right side of 3:
lim x → 3⁺ f(x)
= lim x → 3⁺ (-3x + 15)
= -6
Since the limit from the left side is not equal to the limit from the right side, the limit of f(x) as x approaches 3 does not exist.
Thus,
The value of the limit of the function f(x) = x² - 2 is 7.
The value of the limit of the function f(x) = -3x + 15 is -6.
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Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Answer:
120 ft
Step-by-step explanation:
A=B*H
A=12*10
A=120
Which equation represents a line which is parallel to the line y=-2/3x+1
Answer:
3x+2y=16
Step-by-step explanation:
3x+2y=16 is a rearranged version of the equation given but instead of 1 it is 16. This does not make it non-parallel, it just changes where the line intercepts the y-axis
f f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g
The value of the function operation f - g(x) is 3x² + x
What is Function OperationsFunction operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.
Addition and subtraction of functions:
A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.
Multiplication of functions:
Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.
Composition of functions:
Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.
In this problem, we have two functions which are;
f(x) = 3x² + 1g(x) = 1 - xThe value of (f - g)(x) = 3x² + x
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PLEASE HELP answer 6 and 7 best explanation gets brainliest
Answer:
Imma write it in the explanation
Step-by-step explanation:
6. interior angles, alternate angles
for c to be parallel with d, we need 2 and 7 to be interior angles (a+b=180°, u/c shaped), and 3 and 5 to be alternate angles (a=b, z shaped).
7. 1+3=180°, 2+4=180°
there were 2 parallel lines in a trapezium, so for the c shape on 1 and 3 they add up to 180°, and same thing to 2 and 4.
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$432.9
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
\(z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\)
Given that μ = $400, σ = $20
P(z > z*) = 0.05
P(z < z*) = 1 - 0.05 = 0.95
z* = 1.645
\(z=\frac{x-\mu}{\sigma} \\\\1.645=\frac{x-400}{20}\\\\x-400=32.9\\\\x=432.9\)
Therefore $432.9 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05.
L1 : y = 2x , (2) find the equation of the line L2 perpendicular to L1 passing through the point P = (1, 2).
Answer:
2y+x = 5Step-by-step explanation:
Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line
(x₀, y₀) is the given point.
First is to get the slope of the known line:
comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 i.e
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (1,2) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence the equation of the line L2 is 2y+x = 5
Find the 45th term of the arithmetic sequence an = 2 + 4(n − 1).
Group of answer choices
182
178
145
264
Step-by-Step Explanation:
n = 45
Therefore, 2 + 4(n - 1)
Putting n = 45, we have
2 + 4(45 - 1)
= 2 + 4 × 44
= 2 + 176
= 178
Answer:
B) 178
Hope it helps.
If you have any query, feel free to ask.
Mary Lou Mason purchased baby bottles for $4.56, baby formula for $12.45, and a pacifier for $2.13. For all purchases she must pay the state sales tax of 6.5 percent and the county tax of 1.5 percent. What is the tax on her purchases? Show all of your work.
Mary Lou Mason's total taxes on her purchase would be $1.37.
What are taxes?Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.
Mary Lou Mason's total purchase was $19.14.
To calculate the total taxes for her purchase, we can use the following formula:
Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)
Therefore, the total taxes for Mary Lou Mason's purchase would be:
Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)
Tax = (0.065 x 19.14) + (0.015 x 19.14)
Tax = 1.24 + 0.13
Tax = $1.37
Mary Lou Mason's total taxes on her purchase would be $1.37.
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A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?
Answer:Answer:
2155.1 m^3
Step-by-step explanation:
area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3
Adaim has a goal to reach 70 miles. If he hikes 8 miles per day, how long will it take him to hike all 70 miles?
HELP QUICKLY!!!
A net of a rectangular prism is shown. A net of a rectangular prism with dimensions 5 and three-fourths centimeters by 4 centimeters by 11 and three-fourths centimeters. What is the surface area of the prism? five hundred fifty and one-fourth cm2 four hundred twelve and three-fourths cm2 two hundred seventy-five and one-eighth cm2 one hundred thirty-seven and nine-sixteenths cm2
PLEASE show a explanation
The surface area of the prism include the following: C. two hundred seventy-five and one-eighth cm².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
Surface area of a rectangular prism = 2(LH + LW + WH)
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;
Surface area of rectangular prism = 2[(23/4 × 4) + (23/4 × 47/4) + (4× 47/4)]
Surface area of rectangular prism = 2[23 + 1081/16 + 47]
Surface area of rectangular prism = 275 1/8 cm².
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answer yoyoyo plz yo
Answer:
(5x)(3x)
Step-by-step explanation:
you would multiply (5x)(3x) first
and your final answer would be 15x ^ 2 - 13x - 6
8 4/7 written as an improper fraction
Answer:
\( \frac{60}{7} \)
Based on the concept of fraction, the 8 4/7 as an improper fraction is written as 60/7
What is an Improper Fraction?Improper fraction is a mathematical term that is used to describe the type of fraction where the numerator is greater than or equal to the denominator.
For example, 6/2 and 9/5, are improper fractions.
In this case, to convert 8 4/7 into an improper fraction we need to multiply the whole number (8) by the denominator of the fraction (7) and then add the numerator (4).
8 * 7 = 56
56 + 4 = 60
Therefore, in this case, it is concluded that 8 4/7 as an improper fraction is 60/7.
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the point representing 0 on the real number line is the
The point representing 0 on the real number line is the origin.
A number line is a visual representation of a set of real numbers. It is a straight line that is usually represented horizontally and it has a starting point, usually labeled as 0, which is called the origin.
Numbers to the right of the origin are positive, and numbers to the left of the origin are negative. The numbers on a number line are evenly spaced, and each point on the line represents a specific real number.
Number lines are useful in mathematics to represent numerical relationships, such as order, magnitude, and distance between numbers. They are also useful in teaching mathematical concepts, such as addition, subtraction, and fractions.
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A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
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write an equation of the line that passes through the given point with the given slope (4,2); slope -2
The equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.
What is equation of line?A straight line's general equation is y = mx plus c, where m denotes the line's slope and c its y-intercept. It is the geometry-related straight line solution that is used the most frequently. A straight line's equation can be expressed in various ways, including point-slope form, slope-intercept form, intercept form, standard form, etc. A straight line is a two-dimensional geometric object that can reach infinity on both sides.
The equation of a line can be represented in the slope-intercept form, which is given by:
y = mx + b
where:
m = slope of the line
b = y-intercept of the line
Given:
Point (x1, y1) = (4, 2)
Slope (m) = -2
Plugging in the given values into the slope-intercept form, we have:
y = -2x + b
Now, we can use the given point (4, 2) to solve for the y-intercept (b). We substitute the coordinates of the point (x1, y1) into the equation and solve for b:
2 = -2(4) + b
2 = -8 + b
b = 2 + 8
b = 10
So, the value of b is 10.
Putting the values of m and b back into the slope-intercept form, we get the equation of the line:
y = -2x + 10
So, the equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.
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Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
What is the input?
Answer:
$577
Step-by-step explanation:
Let y = amount of money in the account.
Let x = number of months.
The withdrawals are always the same amount and occur every month, so this is a linear relation.
We are given two points of the relation: (5, 442) and (13, 226).
y = mx + b
m = (442 - 226)/(5 - 13) = 216/(-8) = -27
The slope, -27, represents the amount she withdraws each month.
y = -27x + b
442 = -27(5) + b
442 = -135 + b
b = 577
y = -27x + 577
b = y-intercept = initial amount
Answer: The input was $577.
Answer: B, B, and C
Step-by-step explanation: yo mama
I dont get this question could someone help me out i will mark brainliest include steps!
Answer:
12.5
Step-by-step explanation:
In a rectangle, the two diagonals are equal length, so MK = JL = 2x + 9
Note MK = 2 * MN, so
2x + 9 = 2 * (3x + 1)
expand:
2x + 9 = 6x + 2
Solve:
9 - 2 = 6x - 2x
4x = 7
x = 7/4
MK = JL = 2x + 9 = 2 * 7/4 + 9 = 7/2 + 9 = 3.5 + 9 = 12.5
Help with this plz plz ASAP
Amount of water in a pool
Assume a 10-year period at 8% compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at t = 10.
f(t)= 400e^0.03t
Answer:
Step-by-step explanation:
Consider the function of the rate of flow of money in dollar per year is
\(f(t)= 400e^{0.03t}\)
The objective is to find the present value of this income over 10 years period an assume an annual interest rate of 8% compounded continuously.
Given that,
\(f(t)= 400e^{0.03t}\)
r = 0.08, t = 10
if f(t) is the rate of continuously money flow at an interest rate r to T year,
the present value is,
\(P= \int\limits^T_0 {f}(t)e^{-rt} \, dt\)
Now input the values to get
\(p=\int\limits^{10}_0 400e^{0.03t}*e^{-0.08t} dt\)
\(=400\int\limits^{10}_0 e^{0.03t}*^{-0.08t} dt\)
\(= 400\int\limits^{10}_0 e^{-0.05t} dt\)
\(=400(-\frac{e^{-0.05t}}{0.05} )|_0^1^0\)
\(=-\frac{400}{0.05} (e^{-0.05*10}-e^{-0.05*0})\\\\=-\frac{400}{0.05} (e^{-0.5}-e^{*0})\\\\=3147.75\)
Therefore, the present value is $3147.75