Answer:
D. No solution
Step-by-step explanation:
Given
[tex]y = 3x + 7[/tex]
[tex]y = 3x + 2[/tex]
Required
The number of solutions
We have:
[tex]y = 3x + 7[/tex] and [tex]y = 3x + 2[/tex]
Equate both i.e.
[tex]y = y[/tex]
So, we have:
[tex]3x + 7 = 3x + 2[/tex]
Subtract 3x from both sides
[tex]3x -3x + 7 = 3x -3x + 2[/tex]
[tex]7 = 2[/tex]
The above is false
i.e. [tex]7 \ne 2[/tex]
Hence, the system has no solution
what's the slope for coordinates (-5,-5) (5,3)?
Answer:
4/5
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (-5 - 3)/(-5 - 5)
slope = -8/(-10)
slope = 4/5
in an inverse variation, x=2 when y=-4. what is the value of y when x=16
Answer:
y = -1/2
Step-by-step explanation:
Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]
Plug in 2 as x and -4 as y, then solve for k:
y = [tex]\frac{k}{x}[/tex]
-4 = [tex]\frac{k}{2}[/tex]
-8 = k
So, the equation is y = [tex]\frac{-8}{x}[/tex]
Plug in 16 as x and solve for y:
y = [tex]\frac{-8}{x}[/tex]
y = [tex]\frac{-8}{16}[/tex]
y = -1/2
So, when x = 16, y = -1/2
What is the speed if the distance is 234 MI and time is 3 hrs
Answer:
speed = 78 miles per hour
Step-by-step explanation:
Speed is distance divided by time
speed = 234 miles / 3 hours
speed = 78 miles per hour
- 113 x (-4) =
plz no links
Answer:
452
Step-by-step explanation:
Have a Wonderful day
Kate thought she could only run for 12 minutes, but she actually ran for 25 minutes. What is the percent error?
Answer:
[tex]108\frac{1}{3}[/tex] %
Step-by-step explanation:
[tex]\frac{25}{12} :\frac{y}{100}[/tex]
12 · y = 25 · 100
12y = 2500
12y ÷ 12 = 2500 ÷ 12
[tex]y=208\frac{1}{3}[/tex]
[tex]208\frac{1}{3} - 100 = 108\frac{1}{3}[/tex]
PLEASE HELP!! I know I need to factor but I’m confused…
Answer:
x = 16
Step-by-step explanation:
Given a tangent and a secant from an external point to a circle, then
The product of the external part and the whole of the secant is equal to the square of the tangent, that is
9(9 + x) = 15²
9(9 + x) = 225 ( divide both sides by 9 )
9 + x = 25 ( subtract 9 from both sides )
x = 16
Help just help please. !!!
Answer: The maximum value is -3.75
Note: -3.75 = -15/4
=============================================================
Explanation:
The given quadratic is in the form y = ax^2 + bx + c, where,
a = -1b = 1c = -4We'll plug the values of 'a' and b into the formula below
h = -b/(2a)
h = -1/(2(-1))
h = 1/2
h = 0.5
This represents the x coordinate of the vertex. Recall the vertex is (h,k).
Plug this x value into the function to find its corresponding y coordinate
y = -x^2 + x - 4
y = -(0.5)^2 + 0.5 - 4
y = -3.75
The vertex is located at (0.5, -3.75)
Since a < 0, this means the parabola opens downward and that the vertex is the highest point on the parabola. Therefore, the largest y can get is y = -3.75 which we consider the maximum.
The graph visually helps confirm this (see image attachment).
Side note: -3.75 = -15/4
-------------------
Here's another way we can find the vertex (h,k). We'll complete the square to get the function into vertex form
y = -x^2 + x - 4
y + 4 = -x^2 + x
y + 4 = -(x^2 - x)
y + 4 = -(x^2 - x + 0)
y + 4 = -(x^2 - x + 0.25 - 0.25) .... see note below
y + 4 = -(x^2 - x + 0.25) -(-0.25)
y + 4 = -(x^2 - x + 0.25) + 0.25
y + 4 = -(x - 0.5)^2 + 0.25
y = -(x - 0.5)^2 + 0.25 - 4
y = -(x - 0.5)^2 - 3.75
This is in the form y = a(x-h)^2 + k where (h,k) = (0.5, -3.75).
Note: The x coefficient is -1 which cuts in half to -0.5, then that squares to 0.25
Sarah pays $80 for 5
piano lessons. What is
the cost per lesson?
Practice
what is sin(-30*) ? Sketch a graph to help determine the answer.
a. 0.5
b. -0.5
c. 1
d. 0
Please select the best answer from the choices provided
Answer:
B. -0.5
Step-by-step explanation:
I calculated it logically
The Sine Function
The average number of customers per day at a home improvement store is given in the following table. The sine regression equation was found to be y = 33.690 sin(0.887 x + 1.337) + 81.684, where x represents the day where 1 = Sun of the week, 7 = Sat of the first week, 8 = Sun of the second week, and 14 = Sat of the second week.
Use this model to predict the average number of customers on Thursday. Round to the nearest customer.
a. 72
b. 65
c. 70
d. 64
Please select the best answer from the choices provided
Answer:
B. 65
Step-by-step explanation:
I calculated it logically
What is the volume of a regular cylinder whose base has a radius of 14cm and has a height of 6 cm
Answer:
3692.64 cm³
Step-by-step explanation:
A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.
How many packs of pens does the manufacturer make, and how many pens are left over?
Answer:
1,408 packs can be made, and 2 pens will be left out.
Step-by-step explanation:
Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:
5.634 / 4 = X
1,408.5 = X
5,634 - (1,408 x 4) = X
5.634 - 5.632 = X
2 = X
Therefore, 1,408 packs can be made, and 2 pens will be left out.
Answer: 1,408 packs can be made and 2 will be left out
Step-by-step explanation:
Bell Ringer
1. A rectangle has a length of 5 ft. and an area
of 45 ft? What is the width of the rectangle?
Draw and label the rectangle with the
information given to help you solve.
42
Answer:
9 ft
Step-by-step explanation:
Area of a a rectangle = length × width.
Plug in the information youhave.
45ft. = 5ft × ?
45 = 5x
9 = x
Fun question: Which Disney character is your favorite?
Make sure it’s detailed!! Will give out Brainlist!!
Answer:
Belle is my fav.
Step-by-step explanation:
She loves to read books like me and I hate people who always go out there and try to impress me with something.
I need help, please !
Answer: the answer is 8 because
Step-by-step explanation:
Write the standard equation of the circle with center (1,2) and radius of 2
Answer:
(x – h)2+ (y – k)2 = r2
Step-by-step explanation:
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1070 and a standard deviation of 204. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 5.2. It is assumed that the two tests measure the same aptitude, but use different scales.
(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score. Round answer to a whole number. SAT score =
(B) What would be the equivalent ACT score for this student? Round answer to 1 decimal place. ACT score =
(C) If a student gets an SAT score of 1417, find the equivalent ACT score. Round answer to 1 decimal place. ACT score =
Answer:
a) SAT score = 1075
b) ACT score = 19.2.
c) ACT score = 27.9.
Step-by-step explanation:
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.
(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score
SAT scores have mean 1070 and standard deviation 204, so [tex]\mu = 1070, \sigma = 204[/tex]
51th percentile means that Z has a p-value of 0.51, so Z = 0.025. The score is X. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.025 = \frac{X - 1070}{204}[/tex]
[tex]X - 1070 = 0.025*204[/tex]
[tex]X = 1075[/tex]
SAT score = 1075.
(B) What would be the equivalent ACT score for this student?
ACT scores have mean of 19.1 and standard deviation of 5.2, which means that [tex]\mu = 19.1, \sigma = 5.2[/tex]. The equivalent score is X when Z = 0.025. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.025 = \frac{X - 19.1}{5.2}[/tex]
[tex]X - 19.1 = 0.025*5.2[/tex]
[tex]X = 19.2[/tex]
ACT score = 19.2.
(C) If a student gets an SAT score of 1417, find the equivalent ACT score.
Z-score for the SAT:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1417 - 1070}{204}[/tex]
[tex]Z = 1.7[/tex]
Equivalent score on the ACT:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.7 = \frac{X - 19.1}{5.2}[/tex]
[tex]X - 19.1 = 1.7*5.2[/tex]
[tex]X = 27.9[/tex]
ACT score = 27.9.
What is 777778978734*79980324768762378945569723
brainliest for answer , nessa reeeeeeeeee
Answer:
2/45+1/9=
7/45
Have a great day
What would x be for this to be true -4x=5
Answer:
x = -5/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-4x = 5
Step 2: Solve for x
[Division Property of Equality] Divide -4 on both sides: -4x/-4 = 5/-4Simplify: x = -5/4Answer:
x = -5/4
Step-by-step explanation:
-4x = 5
Divide both sides by -4
x = -5/4
You select a card from a standard deck of cards.
Find P(spade or 5)
0.462
0.308
0.327
0.25
Answer:
0.3269
Step-by-step explanation:
Number of spades = 13
Number of 5's = 4
17/52 =
whats 7 times 8 divided by 2 i think the answer s 6 am i right or ring please tell me
Answer:
28Step-by-step explanation:
First,
7 times 8 = 7 × 8 = 56
Then,
The product divided by 2 = 56 ÷ 2 = 28
Hence,
The required answer is 28
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
the last one
Step-by-step explanation:
Answer:
The 2nd one (the one you chose) is right thats the answer
Step-by-step explanation:
Julio purchased 1,700 shares of a certain stock for $23,750 (including commissions). He sold the shares 3 year(s) later and received $32,500 after deducting commissions. Find the effective annual rate of return on his investment over the 3-year period.
Group of answer choices
10.50%
10.59%
10.73%
11.02%
Answer:
The annual interest rate of return during his investment was 12.28%.
Step-by-step explanation:
Since Julio purchased 1,700 shares of a certain stock for $ 23,750 including commissions, and I have sold the shares 3 years later and received $ 32,500 after deducting commissions, to find the effective annual rate of return on his investment over the 3-year period the following calculation must be performed:
23,750 = 100
32,500 = X
32,500 x 100 / 23,750 = X
3,250,000 / 23,750 = X
136.84 = X
(136.84 - 100) / 3 = X
36.84 / 3 = X
12.28 = X
Therefore, the annual interest rate of return during his investment was 12.28%.
please help the will get a brilliantaal
Two friends decided to open up bank accounts. Israel deposited $1000 into an account with a growth rate of 15%, and Dameon deposited $3,000 into an account with a growth rate of 2%. After 10 years, who will have more money in their account?
Answer:
Isreal
Step-by-step explanation:
15% of 1000 is 150x10=1500
2% of 3000 is 60x10=600
Use the quadratic formula to solve x2 – 3x - 2 = 0.
Answer:
x = 2 , 1
Step-by-step explanation:
Answer:
2.5 or 3.5
Step-by-step explanation:
The quadratic formula is [tex]x = -b +/- \frac{\sqrt{b^2 + 4ac}}{2a}[/tex] .
a, b, and c are determined by the terms in the formula ax^2 + bx + c
They gave you the equation x^2 - 3x - 2, which fits that formula. a is 1, b is -3, and c is -2. So plug those values into the equation:
[tex]x = -(-3) +/- \frac{\sqrt{(-3)^2 + 4(1)(-2)}}{2(1)}[/tex]
[tex]x = 3 +/- \frac{\sqrt{9 -8}}{2}[/tex]
[tex]x = 3 +/- \frac{\sqrt{1}}{2}[/tex]
[tex]x = 3 +/- \frac{1}{2}[/tex]
So x is 3 plus or minus -1/2. 3 plus -1/2 is 2.5
3 minus -1/2 is 3.5
So the 2 possible x values are 2.5 and 3.5.
What system of equations has no solution
Answer:
The answer is LINEAR EQUATIONS
Step-by-step explanation:
Hope you have a great day :)
ANSWER IT HOW THE QUESTIONS ARE ASKED!! Thank you so much!!
Answer:
[tex](a)\ Pr = \frac{2}{5}[/tex]
[tex](b)\ Pr = \frac{9}{20}[/tex]
[tex](c)\ E(Orange) = 100[/tex]
[tex](d)\ E(Orange) = 62.5[/tex]
Step-by-step explanation:
Solving (a): Theoretical probability of green or yellow
Here, we consider the spinner itself
From the attached image, we have:
[tex]n= 5[/tex] --- i.e. 5 sections
[tex]Yellow = 1[/tex]
[tex]Green = 1[/tex]
So, the probability is:
[tex]Pr = P(Yellow)\ or\ P(Green)[/tex]
[tex]Pr = \frac{Yellow}{n} + \frac{Green}{n}[/tex]
[tex]Pr = \frac{1}{5} + \frac{1}{5}[/tex]
Take LCM
[tex]Pr = \frac{1+1}{5}[/tex]
[tex]Pr = \frac{2}{5}[/tex]
Solving (b): Experimental probability of green or yellow
Here, we consider the result of the experiment
From the attached image, we have:
[tex]n= 40[/tex] --- i.e. 40 spins
[tex]Yellow = 12[/tex]
[tex]Green = 6[/tex]
So, the probability is:
[tex]Pr = P(Yellow)\ or\ P(Green)[/tex]
[tex]Pr = \frac{Yellow}{n} + \frac{Green}{n}[/tex]
[tex]Pr = \frac{12}{40} + \frac{6}{40}[/tex]
Take LCM
[tex]Pr = \frac{12+6}{40}[/tex]
[tex]Pr = \frac{18}{40}[/tex]
Simplify
[tex]Pr = \frac{9}{20}[/tex]
Solving (c): Expectation of orange outcomes in a spin of 500 times, theoretically.
Here, we consider the spinner itself
From the attached image, we have:
[tex]n= 5[/tex] --- i.e. 5 sections
[tex]Orange = 1[/tex]
So, the probability of having an outcome of orange in 1 spin is:
[tex]Pr = P(Orange)[/tex]
[tex]Pr = \frac{Orange}{n}[/tex]
[tex]Pr = \frac{1}{5}[/tex]
In 500 spins, the expectation is:
[tex]E(Orange) = Pr * 500[/tex]
[tex]E(Orange) = \frac{1}{5} * 500[/tex]
[tex]E(Orange) = 100[/tex]
Solving (c): Expectation of orange outcomes in a spin of 500 times, base on experiments.
Here, we consider the spinner itself
From the attached image, we have:
[tex]n= 40[/tex] --- i.e. 40 spins
[tex]Orange = 5[/tex]
So, the probability of having an outcome of orange is:
[tex]Pr = P(Orange)[/tex]
[tex]Pr = \frac{Orange}{n}[/tex]
[tex]Pr = \frac{5}{40}[/tex]
[tex]Pr = \frac{1}{8}[/tex]
In 500 spins, the expectation is:
[tex]E(Orange) = Pr * 500[/tex]
[tex]E(Orange) = \frac{1}{8} * 500[/tex]
[tex]E(Orange) = 62.5[/tex]
Ms. Lin’s son likes to lift weights. He was lifting 125 pounds last year. This year he can lift 35 more pounds. How much weight can he lift this year?
Answer:
He can lift 160 pounds
Step-by-step explanation:
125 (from last year) + 35 (more pounds) = 160 (total pounds)
125 + 35 = 160
What is the answer? Thank you for those that answer!
9514 1404 393
Answer:
2. Given
4. SAS postulate
Step-by-step explanation:
Reason 2: Statement 2 is one of the Given statements.
Reason 4: You have shown that two sides and the angle between them are congruent. The Side-Angle-Side (SAS) congruence postulate applies.