9514 1404 393
Answer:
square with side length √17 units, so area 17 square units.
Step-by-step explanation:
Each side has a slope with a rise of 1 and a run of 4, or a rise of -4 and a run of 1. The ratios of these numbers are opposite reciprocals, so we know the sides are perpendicular. The sum of squares of these numbers is 17, so we know the sides are √17 and all are the same length. (The Pythagorean theorem tells us this.)
A quadrilateral with equal-length perpendicular sides is a square. This square has side length √17 units and area (√17)² = 17 square units.
Need help Arc angles
If y= 12x + 7 were changed to y = 12x + 2, how would the graph of the new
function compare with the original?
A. It would be less steep.
B. It would be steeper.
C. It would be shifted down.
D. It would be shifted up.
Answer:
C. It would be shifted down.
General Formulas and Concepts:
Algebra I
Reading a Cartesian Plane
Functions
Graphing
Coordinates (x, y)
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Original Function] y = 12x + 7
[Transformed Function] y = 12x + 2
Step 2: Identify
Compare functions to general form.
[Original Function] Slope m = 12, y-intercept b = 7
[Transformed Function] Slope m = 12, y-intercept b = 2
Step 3: Compare
We see that they both have the same slope m of 12, so A and B can be eliminated as the slopes don't change and therefore would not be steeper or less steep.
Now comparing the y-intercept b's, we see that the original function has a bigger b than the transformed function. This tells us that the original function will start higher than the transformed function.
We can also graph both equations and see what happens to the original equation.
∴ the answer would be C. It would be shifted down.
20. Find the mean, median, and mode for the following
data set:
83 98 22 89 99 98
Answer:
GOT U
Step-by-step explanation:
Mean = 81.5
Median =93.5
Mode = 98
HELP A S A P 20 POINTS
Select all the expressions that correctly calculate the perimeter of the shape.
40 + 20pi
80 + 20pi
120 + 20pi
300 + 100pi
10 + 10 + 10pi + 10+ 10 + 10pi
Answer:
40+20pi
10+10+10pi+10+10+10pi
Step-by-step explanation:
40+20pi
10+10+10pi+10+10+10pi
If FX) = 3x+6, which of the following is the inverse of Fx)?
A. F1(x) = 6 - 3x
B. F1(x) = 3x - 6
C. F'(x) = x - 6 / 3
D. F'(x) = x - 3 / 6
Answer:
C. F'(x) = x - 6 / 3
Step-by-step explanation:
[tex]y = 3x + 6[/tex]
[tex]x = 3y + 6 \\ x - 6 = 3y + 6 - 6[/tex]
[tex] \frac{x - 6}{3} = \frac{3y}{3} [/tex]
[tex]y = \frac{x - 6}{3} [/tex]
[tex]f1 = \frac{x - 6}{3} [/tex]
-4x - 4(6x-14) +8(6x-10) - (20x -18)
Answer:
I believe it is -6
Step-by-step explanation:
Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip?
A, 465
B, 232
C, 535
D, 267
Answer:
The correct answer is B. 232.
Step-by-step explanation:
Since Jameson Middle School gives bottles of water to teachers and students who are going on a field trip, and the school orders 500 bottles of water and they plan to give 35 bottles of water to teachers, and they ordered at least 2 bottles of water for each student, to determine how many students could be going on the field trip, the following calculation must be performed:
(500 - 35) / 2 = X
465/2 = X
232.5 = X
Thus, the number of students that can go to the field trip is 232.
Which equations can be best solved with the square root method?
Select each correct answer.
x2−100=0
(x−6)2=25
x2−11x=−28
x2−10x+24=0
Answer:
The first two equations.
Step-by-step explanation:
The first equation:
x² - 100 = 0
x² = 100
√x² = √100
x = ±10
x = 10 or -10
Second equation:
(x - 6)² = 25
√(x - 6)² = √25
x - 6 = ±5
x - 6 = 5 or x - 6 = -5
x = 11 or 1
It seems that for the other two equations, you have to complete the square and factor them out.
Windsor the dog ate 4 3/4 snack bones each day for a week . How many bones did Windsor eat that week ?
Answer:
4*3/4* 7=21 bones per week
Answer:
= 4 ¾ × 7
= 33.25 snack bones
Can a triangle have the following side lengths? Explain.
5 feet, 2 feet, 10 feet
Answer:
No, this can not be a triangle because if you use the Pythagorean theorem 5 squared plus 2 squared doesn't equal 10 squared.
Step-by-step explanation:
You take 5 squared and 2 squared and add them, you then find the square root and that should equal 10, if not its not a triangle.
See the picture down below for the question!
18 degrees
19 degrees
66 degrees
77 degrees
C: 66 degrees. Hope this helped!
Every week William collects a few pounds of plastic bags to recycle. The graph below shows the total number of pounds of plastic bags (y) that William collected in a certain amount of time (x), in weeks:
What would most likely be the total amount of plastic, in pounds, William would collect in 10 weeks?
340 pounds
400 pounds
440 pounds
540 pounds
Answer:
A. 340 lbs
hope this helps
Answer:
440
Step-by-step explanation:
Y=Mx+b
y=40x+40
y=40(10)+40
y=400 + 40
y=440
there are 4 red balls in a bag and 8 yellow balls a ball is drawn random from the bag find the probability of not red ball
Answer:
2/3
Step-by-step explanation:
There are 4 red balls and 8 yellow balls.
Therefore, there are total 12 balls in the bag.
n(S) = 12
Let A be the event when the ball drawn is not a red ball.
The balls which are not red will be yellow balls and there are 8 yellow balls so,
n(A) = 8
Probability that the ball drawn randomly from the bag is not a red ball,
p(A) = n(A) / n(S)
= 8/12
= 2/3
Therefore, the probability of the ball drawn randomly is not a red ball is 2/3.
A basketball player makes 85% of her foul shots. If 10 of her foul shots are randomly selected, what is the probability that 8 of them are successful shots?
0.06
0.28
0.85
0.98
Answer: 0.28
Step-by-step explanation: Reviewed my quiz, got you covered
20. Give an example of a function from N to N that is a) one-to-one but not onto. b) onto but not one-to-one. c) both onto and one-to-one (but different from the identity function). d) neither one-to-one nor onto.
Answer:
Step-by-step explanation:
a) To provide an example of a function N → N that is one-to-one but not onto.
Suppose [tex]f:N\to N[/tex] to be [tex]f(n)=n^2[/tex]
Then; [tex]\text{a function } \ f: A \to B\ \text{is one-to-one if and only if } f(a) = f(b) \implies a = b \ for \ a, b \ \epsilon \ A.[/tex]
[tex]\text{a function } \ f: A \to B\ \text{is onto if and only if for every element } b \ \epsilon \ B \\ \text{there exist an element a} \ \epsilon\ A \ such \ that f(a) = b}[/tex]
Now, assuming [tex]a \ \Big {\varepsilon} \ N \& \ b \ \epsilon \ N;[/tex]
Then [tex]f(a) = f(b)[/tex]
[tex]a^2 = b^2 \\ \\ a = b[/tex]
The above function is said to be one-to-one
[tex]\text{it is equally understandable that not every natural number is the square of a natural number}[/tex]e.g
2 is not a perfect square, hence, it is not regarded as the image of any natural no.
As such, f is not onto.
We can thereby conclude that the function [tex]f(n) = n^2[/tex] is one-to-one but not onto
b)
[tex]Suppose f: N \to N[/tex] be
[tex]f(n) = [n/2] \\ \\ For \ n =1, f(1) = [1/2] = [0.5] = 1 \\ \\ For \ n=2 , f(2) = [2/2] = [1] = 1[/tex]
It implies that the function is not one-to-one since there exist different natural no. having the same image.
So, for [tex]n \epsilon N[/tex] , there exists an image of 2n in N
i.e.
[tex]f(2n) = [2n/2] = [n] = n[/tex]
Hence, the function is onto
We thereby conclude that the function [tex]f(n) = [n/2] \text{ is onto but not one-to-one}[/tex]
c)
[tex]let f: N\to N[/tex] be [tex]f(n) = \left \{ {{n+1, \ if \ n \ is \ even } \atop n-1 , \ if \ n \ is \ odd} \right.[/tex]
So, if n, m is odd:
Then:
[tex]f(n) = f(m) \\ \\ n-1 = m-1 \\ \\ n = m[/tex]
Likewise, if n, m is even:
Then;
[tex]f(n) = f(m) \\ \\ n+1 = m+ 1 \\ \\ n = m[/tex]
The function is then said to be one-to-one.
However, For [tex]n \epsilon N[/tex] and is odd, there exists an image of [tex]n - 1[/tex]that is even;
[tex]f(n - 1) = n -1 + 1 =n[/tex]
For [tex]n \epsilon N[/tex] and is even, there exists an image of [tex]n + 1[/tex]that is odd;
[tex]f(n - 1) = n +1 - 1 = n[/tex]
where(; implies such that)
Hence, this function is said to be onto.
We can therefore conclude that the function [tex]f(n) = \left \{ {{n+1, \ if \ n \ is \ even } \atop n-1 , \ if \ n \ is \ odd} \right.[/tex] is both onto and one-to-one.
d)
Here, to provide an example where the [tex]f:N \to N[/tex] is neither one-to-one nor onto.
SO;
Let [tex]f : N \to N[/tex] is defined to be [tex]f(n)=0[/tex]
Then, since every integer has the same image as zero(0), the function is not one-to-one.
Similarly, the function is not onto since every positive integer is not an image of any natural number.
We, therefore conclude that, the function [tex]f(n)=0[/tex] is neither one-to-one nor onto.
If 4x - 3y = -18 and 6x + 7y = -4, then what is the value of y?
Answer:
y = 2
Step-by-step explanation:
4x - 3y = -18, then 4x = 3y - 18, x = (3y - 18)/4
6x + 7y = -4
substitute for x:
6((3y - 18)/4) + 7y = -4
(18y - 108)/4 + 7y = -4
4.5y - 27 + 7y = -4
combine like terms:
11.5y = 23
y = 2
check:
x = (3(2) - 18)/4 = -12/4 = -3
6(-3) + 7(2) = -4
-18 - 14 - -4
-4 = -4
so y = 2 is correct
Tanisha scored 31 out of 35 points on a recent math quiz. The percent that Tanisha answered
correctly is closest to
1) 86%
2) 89%
3)91%
4)93%
Answer:
2) 89%
Step-by-step explanation:
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
area of triangle= 1/2*h*b
= 1/2*6*16
=3*16
= 48 yd²
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
f+1/7=5? What is does the f stand for . Also explain.
Answer:
dcijkchb dhcdnhujkcmnjic jni
Step-by-step explanation:
uducjkv
Answer:
4 6/7
Step-by-step explanation:
There is a sale on sneakers. The price tag says $150. There is a 25% off sale. What is the final price with the discount? USE AN EXPRESSION.
Expression: ___________________
Answer:_______________________
Answer:
Step-by-step explanation:
Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample of 225 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.26 and 0.38
Answer:
0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38
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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
37% of the company's orders come from first-time customers.
This means that [tex]p = 0.37[/tex]
A random sample of 225 orders will be used to estimate the proportion of first-time-customers.
This means that [tex]n = 225[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.37[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322[/tex]
What is the probability that the sample proportion is between 0.26 and 0.38?
This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.
X = 0.38
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.38 - 0.37}{0.0322}[/tex]
[tex]Z = 0.31[/tex]
[tex]Z = 0.31[/tex] has a pvalue of 0.6217
X = 0.26
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.26 - 0.37}{0.0322}[/tex]
[tex]Z = -3.42[/tex]
[tex]Z = -3.42[/tex] has a pvalue of 0.0003
0.6217 - 0.0003 = 0.6214
0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38
If 40% of the voters who responded are over 40 years old, how many voters responded in all?
A. 120
B. 88
C. 80
D. 68
What is the answer to this
if a football team played 160 matches and won 65 percent of them,how many matches did it win
Answer:
65 x 160 / 100 = 104
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answer:
do you have a picture for people to see
3. A deli sells small, medium, and large box lunches. Each can of soda costs $1 and each bag of chips costs $1. Each sandwich costs s dollars. Some customers buy box lunches, and some customers buy items separately. Use this and the information below to solve Parts A, B, and C.
• Michelle buys 6 sandwiches and 2 sodas. Her total cost is 6s+ 2.
• Beyunka buys 6 small box lunches. These box lunches include 1 sandwich, 1 soda, and 1 bag of chips. Her total cost is 6(s + 2).
Duff buys 3 medium box lunches. These box lunches do not include soda. His total cost is 3(2s + 3).
3. PART A: Each medium box lunch purchased by Duff contains two sandwiches and three bags of chips. If sandwiches cost $7.75, what is Duff's total cost?
Answer:
55.50
Step-by-step explanation:
2(7.75) = 15.5
15.5+3 = 18.5
3(18.5) =55.5
$55.50
can someone please help me i cant fail this
y = 700(1.05)^x,
plug in x=2
700(1.05)^2
= 700(1.05 times 1.05)
= 700(1.1025)
= 771.75
charlie's puppy max weighs 10 pounds. How many ounces does Max weigh?
Answer:
160 ounces
Step-by-step explanation:
16 ounces=1 pound
10x16=160
Can someone please solve this for me?
107 + 12
Show your work and I'll give brianliest (I know the answer i just need someone to show their work on how to get it)
In a small group, the ratio of club members to non-members is 6 to 5. What is the ratio of non-members to the total group size?
A. 6 to 5
OB. 5 to 6
C. 11 to 5
D. 6 to 11
O E. 5 to 11
The ratio of non-members to the total group size is to be considered as the option C. 11 to 5
Calculation of the ratio:Since
In a small group, the ratio of club members to non-members is 6 to 5.
So, the total members should be
= 6 + 5
= 11
Now the ratio be like 11 to 5
Hence, the option c is correct.
Learn more about ratio here: https://brainly.com/question/13021566