Answer:
Step-by-step explanation:
Jerome has already read 50 pages of a novel and read p pages each day from Monday to Friday.
If Jerome read at least 85 pages by the end of Friday, inequality will be,
50 + 5p ≥ 85
If Jerome reads 6 pages each day,
For p = 6,
Inequality will be,
50 + 5(6) ≥ 85
80 ≥ 85
It's not true.
Therefore, he will not meet his goal.
If p = 7,
Inequality will be,
50 + 5(7) ≥ 85
85 ≥ 85
It's true.
Therefore, he will meet his goal.
If p = 8,
Inequality will be,
50 + 5(8) ≥ 85
90 ≥ 85
It's true.
Therefore, he will meet his goal.
1. Will not
2. Will
3. Will
Elizabeth has a loyalty card good for a 10% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $37.60? Round to the nearest cent.
Answer:
$33.84
Step-by-step explanation:
Sale price = price - 10% = 90%
90% = 0.9
37.6(0.9) = $33.84
what is called intersection of two sets
Answer:
In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).
Step-by-step explanation:
shelly has 10 different pairs of shoes. she picks eight out of the twenty shoes at random. what is the probability that she picked exactly3 matching pairs of shoes. please leave your answer as a fraction with combinations and powers as necessary
The probability that Shelly picked exactly 3 matching pairs of shoes out of the 8 randomly chosen shoes is 7,920/12,870.
To determine the probability, we need to consider the number of favorable outcomes and divide it by the total number of possible outcomes.
The number of ways to choose 3 matching pairs out of the 10 available is given by the combination formula, which is denoted as C(n, r) = n! / (r!(n - r)!). In this case, we have C(10, 3) = 10! / (3!(10 - 3)!) = 120.
The remaining 2 shoes from the chosen pairs can be selected from the remaining 12 unmatched shoes, which gives us C(12, 2) = 12! / (2!(12 - 2)!) = 66.
Therefore, the number of favorable outcomes is 120 × 66 = 7,920.
The total number of possible outcomes is the number of ways to choose 8 shoes out of the 20 available, given by C(20, 8) = 20! / (8!(20 - 8)!) = 12,870.
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pls help me !!! asap
Answer:
Point Q
Step-by-step explanation:
Answer:
It’s point P
Step-by-step explanation:
The square root of 92 is in a point between the square root of 81 which is 9 and the square root of 100 which is 10 you it is best to estimate that the square root of 92 is aprox 9.6 which is point P
12 for every 2 male birds in a bird cage there are 5 females. What is the ratio of the males to females
what is affected by acceleration
Answer:
Pretty much everything, my dude
Step-by-step explanation:
May I have brainliest please? :)
Let f(x)=2x^2−8x+4 a. Find the values of x for which the slope of the curve y=f(x) is 0 . b. Find the values of x for which the slope of the curve y=f(x) is −24.
a. To find the values of x for which the slope of the curve y = f(x) is 0, we will use the derivative of the function f(x).We have, f(x) = 2x² - 8x + 4∴ f'(x) = 4x - 8Slope of the curve y = f(x) is 0 at the point where the derivative of the function is 0.
Therefore, 4x - 8 = 0⇒ 4x = 8⇒ x = 2Hence, the value of x for which the slope of the curve y = f(x) is 0 is 2.b. To find the values of x for which the slope of the curve y = f(x) is -24, we will again use the derivative of the function f(x). We have, f(x) = 2x² - 8x + 4∴ f'(x) = 4x - 8Slope of the curve y = f(x) is -24 at the point where the derivative of the function is equal to -24.Therefore, 4x - 8 = -24⇒ 4x = -16⇒ x = -4.
Hence, the value of x for which the slope of the curve y = f(x) is -24 is -4.
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multiply q+5/2 × 4q/q+4
Answer:
q + 14
Step-by-step explanation
I don't know if the slash was supposed to make it fraction or to divide but I made it into a fraction
I hope this helps!
PLEASE HELP WITH THIS ASAP!
1. Given the data listed above, the line of best fit would be y = 1.64x + 51.9.
How to determine the line of best fit?In this exercise, we would plot the shoe size on the x-axis of a scatter plot while height would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot.
Based on the scatter plot shown below, which models the relationship between x and y, an equation for the line of best fit is modeled as follows:
y = 1.64x + 51.9
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A plant inspector takes a random sample of six month old seedlings from a nursery and measures their heights to the nearest mm .
Answer:
48
Step-by-step explanation:
Driving under the influence of alcohol (DUI) is a serious offense. The following data give the ages of a random sample of 50 drivers arrested while driving under the influence of alcohol. This distribution is based on the age distribution of DUI arrests given in the Statistical Abstract of the United States (112th Edition). 46 16 41 26 22 33 30 22 36 34 63 21 26 18 27 24 31 38 26 55 31 47 27 43 35 22 64 40 58 20 49 37 53 25 29 32 23 49 39 40 24 56 30 51 21 45 27 34 47 35 (a) Make a stem-and-leaf display of the age distribution. (Use the tens digit as the stem and the ones digit as the leaf. Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values. )
To make a stem-and-leaf display, we will separate the ages into stems based on the tens digit and leaves based on the ones digit.
Therefore, the stem-and-leaf display of the age distribution is:
1 | 6
2 | 6 8 9
3 | 3 7 8
4 | 1 3 6 7 8 9
5 | 3 5
6 | 3 4 5 8
A stem-and-leaf display is a graphical representation of a set of data. It is a way to organize and display data in a way that allows for easy interpretation and comparison of the data.
In a stem-and-leaf display, the data is separated into two parts: the stem and the leaf. The stem represents the tens digit of each data point, and the leaf represents the ones digit. For example, the number 47 would be represented as a stem of 4 and a leaf of 7.
The stems are listed vertically, and the leaves are listed horizontally next to their respective stems. The leaves are usually listed in increasing order.
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Marsha's family traveled
3/10
of the distance to her aunt's house on Saturday. They traveled
3/7 of
the remaining distance on Sunday. What fraction of the total distance to her aunt's house was
traveled on Sunday?
Answer:
3/10Step-by-step explanation:
Marsha's family traveled 3/10 of the distance to her aunt's house on Saturday.
Remaining distance is:
1 - 3/10 = 7/10They traveled 3/7 of the remaining distance on Sunday, which is:
7/10*3/7 = 3/10 of the total distanceProving statements about rational numbers with direct proofs. A About Prove each of the following statements using a direct proof. (a) The product of two rational numbers is a rational number. (b) The quotient of a rational number and a non-zero rational number is a rational number. (C) If x and y are rational numbers then 3x + 2y is also a rational number. (d) If x and y are rational numbers then 3x2 + 2y is also a rational number.
(a) The product of two rational numbers, the quotient of a rational number and a non-zero rational number, 3x + 2y and 3x² + 2y are all rational numbers.
b) The quotient of a rational number and a non-zero rational number is a rational number.
c) If x and y are rational numbers, then 3x + 2y is also a rational number.
d) If x and y are rational numbers, then 3x² + 2y is also a rational number.
How to prove the statement?(a) Statement: The product of two rational numbers is a rational number.
Proof:
Let x and y be rational numbers, where x = a/b and y = c/d, where a, b, c, and d are integers and b, d are non-zero.
The product of x and y is given by xy = (a/b) * (c/d) = (ac)/(bd).
Since ac and bd are both integers (as the product of integers is an integer) and bd is non-zero (as the product of non-zero numbers is non-zero), xy = (ac)/(bd) is a rational number.
Therefore, the product of two rational numbers is a rational number.
(b) Statement: The quotient of a rational number and a non-zero rational number is a rational number.
Proof:
Let x be a rational number and y be a non-zero rational number, where x = a/b and y = c/d, where a, b, c, and d are integers and b, d are non-zero.
The quotient of x and y is given by x/y = (a/b) / (c/d) = (a/b) * (d/c) = (ad)/(bc).
Since ad and bc are both integers (as the product of integers is an integer) and bc is non-zero (as the product of non-zero numbers is non-zero), x/y = (ad)/(bc) is a rational number.
Therefore, the quotient of a rational number and a non-zero rational number is a rational number.
(c) Statement: If x and y are rational numbers, then 3x + 2y is also a rational number.
Proof:
Let x and y be rational numbers, where x = a/b and y = c/d, where a, b, c, and d are integers and b, d are non-zero.
The expression 3x + 2y can be written as 3(a/b) + 2(c/d) = (3a/b) + (2c/d) = (3ad + 2bc)/(b*d).
Since 3ad + 2bc and bd are both integers (as the sum and product of integers is an integer) and bd is non-zero (as the product of non-zero numbers is non-zero), (3ad + 2bc)/(b*d) is a rational number.
Therefore, if x and y are rational numbers, then 3x + 2y is also a rational number.
(d) Statement: If x and y are rational numbers, then 3x² + 2y is also a rational number.
Proof:
Let x and y be rational numbers, where x = a/b and y = c/d, where a, b, c, and d are integers and b, d are non-zero.
The expression 3x² + 2y can be written as 3(a/b)² + 2(c/d) = (3a²/b²) + (2c/d) = (3a²d + 2b²c)/(b²d).
Since 3a²d + 2b²c and b²d are both integers (as the sum and product of integers is an integer) and b²d is non-zero (as the product of non-zero numbers is non-zero), (3a²d + 2b²c)/(b²d) is a rational number.
Therefore, if x and y are rational numbers, then 3x² + 2y is also a rational number.
Therefore, the product of two rational numbers, the quotient of a rational number and a non-zero rational number, 3x + 2y (where x and y are rational numbers), and 3x² + 2y (where x and y are rational numbers) are all rational numbers.
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PLEASE HELP BEFORE MIDNIGHT ON 2/14/22
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it. -8x-10=y -4x+y=2
Here are the answer choices:
One solution and it is (-1,-2)
==========================================
Explanation:
I used GeoGebra to graph the two equations. See below. The two lines cross at (-1,-2) which is the solution to the system.
We can check this point by plugging the coordinates into x and y of each equation. You should get the same number on both sides after simplifying.
Side note: Desmos is another free graphing tool you could use.
Delaney pays her internet provider a monthly fee of $14.95 plus $5.75 for each gigabyte of data she stores in the cloud. If Delaney paid $60.95 for the month of January, how many gigabytes of data did she use that month?
Answer: 11.3 or 11 if you are to round to nearest whole number.
Step-by-step explanation:
Take the problem step by step.
You know she has the monthly fee and a fee for each gigabyte of data she stores in her house.
Take how much she paid and Subtract the monthly fee from it since it has been a month.
$60.95 - $14.95 = $36
Now take that answer and divide it by the cost of each gigabyte to see how many she used that month.
$65 / $5.75 = 11.30434743, which rounds to 11.3 or 11 if you are to round to nearest whole number.
If T is the circumcenter of MNP, find the indicated measure:
Find MN
Answer:
MN = 55
Step-by-step explanation:
Since T is the circumcenter of ∆MNP, it follows that the perpendicular bisector of side MN divides MN into two equal parts.
Therefore:
MR = RN
MR = 10x -13
RN = 17x - 41
Thus:
10x - 13 = 17x - 41
Collect like terms
10x - 17x = 13 - 41
-7x = -28
Divide both sides by -7
x = 4
MR + RN = MN
(10x - 13) + (17x - 41) = MN
Plug in the value of x
(10(4) - 13) + (17(4) - 41) = MN
(40 - 13) + (68 - 41) = MN
27 + 27 = MN
54 = MN
What is the prime factorization of 20 in exponential form?
Answer:
•The prime factorization of 20 using exponents is 22*5 2 2 ∗ 5 .
Explanation:#Let's Study
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Victoria is preheating her oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 8 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answer:
answer is on my head
Step-by-step explanation:
I need points
On a coordinate plane, a dashed straight line with positive slope goes through (0, 0.75) and (2, 4.75). Everything to the left of the line is shaded.
Which inequality is represented by the graph?
A. y > 2x + (3/4)
B. y < 2x + (3/4)
C. y > (1/2)x + (3/4)
D. y < (1/2)x + (3/4)
Which point is a solution to the inequality?
A. (-2, -4)
B. (-1, -2)
C. (1, 2)
D. (2, 5)
The inequality is represented by the equation
A. y > 2x + (3/4)D. (2, 5) is the solution of the inequality
How t find the inequality representedThe given points are (0, 0.75) and (2, 4.75) these is used to calculated the slope
m = (y - y') / (x - x')
m = (4.75 - 0.75) / (2 - 0)
m = 4 / 2 = 2
using the point slope formula which is
(y - 4.75) = 2 (x - 2)
y - 4.75= 2x - 4
y = 2x + 0.75
y = 2x + 3/4
dashed straight line with positive slope goes and Everything to the left of the line is shaded means greater than >
y < 2x + (3/4)
Watching the graph the solution is D(2, 5) this point is in the shaded area
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Statistics indicate that 45% of all small businesses ______... · 1) B) fail after three · 2) C) with losses to creditors · 3) B) risk tolerance · 4) D) financing ·
Statistics indicate that 45% of all small businesses fail after three years. This is a concerning statistic for entrepreneurs who are considering starting their own business.
It is important for potential business owners to understand the reasons why small businesses fail and take steps to mitigate these risks. Some common reasons for failure include poor management, insufficient funding, lack of market demand, and competition.
One way to mitigate these risks is by having a solid business plan in place that includes a realistic assessment of the market, a clear understanding of the competition, and a plan for securing financing. Additionally, having a strong risk tolerance and the ability to adapt to changing market conditions can also increase the chances of success for small businesses.
Ultimately, the key to success for small businesses is a combination of careful planning, strong management, and a willingness to take calculated risks.
One of the contributing factors to this failure rate is the business owner's risk tolerance (3) B), which may lead them to take on more financial obligations than they can handle. Additionally, securing proper financing (4) D) is crucial for the success and growth of a small business, and a lack of adequate funding may contribute to the high failure rate.
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Find the perimeter and area of a rectangle with a width of 2 feet and a length 3 times as long.
Answer:
Length = Width * 3
Width = 2 ft
Length = 2 ft * 3 = 6 ft
Perimeter = (L * 2) + (W * 2)
P = 16 ft
Area = L * W = 12 square feet
CBSE CLASS 10th
Check whether the following no: are terminating or not, if terminating find the no: of decimals and also write the decimal expansion
Answer:
this part is deleted
Step-by-step explanation:
this is a deleted portion
help asap grade 5 math help fast help quick !!!
Answer:
B and D
Step-by-step explanation:
A
\(\frac{5}{6}\) × 13 = \(\frac{5(13)}{6}\) = \(\frac{65}{6}\) = 10 \(\frac{5}{6}\) < 13
B
4 × 13 = 52 > 13
C
\(\frac{3}{4}\) × 13 = \(\frac{3(13)}{4}\) = \(\frac{39}{4}\) = 4 \(\frac{3}{4}\) < 13
D
\(\frac{10}{10}\) × 13 = 1 × 13 = 13
Band D are equal to or greater than 13
find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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The length of the base of an isosceles triangle is x. The length of a leg is 3x-3. The perimeter of the triangle is 92. Find x.
Answer:perimeter of isoceles rectangle
=2 ×length × base
Step-by-step explanation:
2(3x-3)+x=92 , 6x-6+x=92 ,7x-6=92 ,x =14 then the base x=14 cm
If the length of a leg is 3x-3. The perimeter of the triangle is 92. The length of the base of an isosceles triangle is 14 units.
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°. The perimeter of an isosceles triangle is calculated using the formula P = 2a + b units, where an is the length of the triangle's base and b is the length of its two equal sides.
It is given that, the length of the base of an isosceles triangle is x. The length of a leg is 3x-3. The perimeter of the triangle is 92.
The perimeter of an isosceles triangle is,
P =2 ×length + base
P =2(3x-3)+x
92=2(3x-3)+x
6x-6+x=92
7x-6=92
x =14
Thus, if the length of a leg is 3x-3. The perimeter of the triangle is 92. The length of the base of an isosceles triangle is 14 units.
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In AVWX, mZV =
Find mZW.
(6x – 4),
m_W = (x + 12)°, and mZX = (3x + 2)°
Answer:
cant see the question pls help me
Step-by-step explanation:
31
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. write a function to model the cost of services there and then determine how many services you had if you were charged $25.
The function is f(x) = 15x + 25 and you would have 6 services if you were charged $25
We know that the hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services, therefore:
Let x = number of services, then we can obtain the function as:
f(x) = 15x + 25 (function)
when we further solve the function, we get the answer for how many services one would have if we were charged $25,
f(x) = 15x + 25
115 = 15x + 25
90 = 15x
6 = x
Now, we know that the function is f(x) = 15x + 25 and you would have 6 services if you were charged $25
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Wyatt mows lawns to earn money. He charges by the area
of the yard. A new customer has a yard in the shape of a
triangle with a base of 200 feet and a height of 70 feet.
What is the area of the yard?
4,667 ft?
540 ft?
7,000 ft
270 ft?
The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
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what is an inequality?
Answer:
it is when something is not being equal
Step-by-step explanation:
it is
In the fraction 11/12 the_is 11
Answer:
numerator
Step-by-step explanation:
.,.............