I don't know what you mean by equation 1. I assume you mean x + y = 7 is equation 1.
If so, solve for y as step 1.
x + y = 7
y = - x + 7
The y-intercept is 7.
Your directions do not say to solve the system of equations.
If you need to solve by graphing, use DESMOS or your graphing calculator. The solution of the system of equations is the point on the graph where the two equations meet or touch each other.
Prove that a+b/2≥√ab
The answers please. Don’t know how to do #1
A cup of coffee at 95 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 2 degrees Celsius per minute when the temperature of the coffee is 70 degrees. The differential equation describing this has the form
Answer:
See Explanation
Step-by-step explanation:
For an object at temperature T and supposing that the ambient temperature is Ta then we can write the differential equation that typifies the Newton law of cooling as follows;
dT/dt=-k(T-Tₐ)
So
dT/dt = 2 degrees Celsius per minute
T = 70 degrees Celsius
Ta = 25 degrees Celsius
2 = -k(70 - 25)
-k = 2/(70 - 25)
k = - 0.044
Hence we can write;
dT/dt=-(- 0.044)(95-25)
dT/dt= 3 degrees Celsius per minute
Please help!!!!!!!!!!!
Answer:
Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm
Step-by-step explanation:
I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.
Answer:
1. I think 30ft 2. I think 4m 3.I think 10mm
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
24 miles per hour.
Step-by-step explanation:
you divide 144 by 6 to get 24.
Answer:
24 miles per hour
Step-by-step explanation:
To find the mph rate, you just have to take the number of miles traveled, divided by the time.
So:
144 ÷ 6 = 24
Which means they were traveling at 24 miles per hour
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = 3x + 5
Step-by-step explanation:
slope:
11 - (-1) / 2 - (-2) = 12/4 = 3
slope intercept form is y = mx + b, so right now you have m = 3:
y = 3x + b
now, since you know x = -2 and y =-1 is a solution, you can plug those values in:
-1 = 3 * -2 + b
-1 = -6 + b
5 = b
This means the equation is y = 3x + 5
g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)
Answer:
0.0062 = 0.62% probability that the sample mean is less than $650.
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.
Mean of $675 and a standard deviation of $80.
This means that [tex]\mu = 675, \sigma = 80[/tex]
A random sample of 64 families in this city paying for childcare is selected.
This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]
Find the probability that the sample mean is less than $650.
This is the pvalue of Z when X = 650.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{650 - 675}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
0.0062 = 0.62% probability that the sample mean is less than $650.
The probability that the sample mean is less than $650 is 0.62%.
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]
From the normal distribution table:
P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%
The probability that the sample mean is less than $650 is 0.62%.
Find out more at: https://brainly.com/question/15016913
Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?
A-5
B-6
C-7
D-8
E-9
Answer: E) 9
Step-by-step explanation:
1.12/4 = 0.28
2.52/0.28 = 9
Answer:
9
Step-by-step explanation:
To find how much each apple costs, you have to divide the price by how many apples he brought.
1.12/4 = 0.28
Each apple costs $0.28
Now, you have to divide 2.52 by 0.28.
2.52/0.28 = 9
He can buy 9 apples at the same price with $2.52.
A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.) mi/h
Answer:
442 miles
Step-by-step explanation:
Given
To properly solve this question, I illustrate some given parameters using attached image
From the image, apply Pythagoras theorem
[tex]x^2 + 1^2 = y^2[/tex]
Differentiate w.r.t time (t)
[tex]2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}[/tex]
[tex]2x\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]
Divide both sides by 2
[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]
From the question, we have that the plan travels are 510mi/h.
This implies that:
[tex]\frac{dx}{dt} = 510mi/h[/tex]
So, we then calculate the value of x when the distance (y) is 2mi i.e.:
[tex]y = 2mi[/tex]
Apply Pythagoras theorem
[tex]x^2 + 1^2 = y^2[/tex]
[tex]x^2 + 1^2 = 2^2[/tex]
[tex]x^2 + 1 = 4[/tex]
[tex]x^2 = 4-1[/tex]
[tex]x^2 = 3[/tex]
[tex]x = \sqrt 3[/tex]
So, the expression becomes:
[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]
[tex]\sqrt 3 * 510 = 2* \frac{dy}{dt}[/tex]
[tex]\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}[/tex]
[tex]\sqrt 3 * 255 = \frac{dy}{dt}[/tex]
[tex]\frac{dy}{dt} = 255\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 255 * 1.7321[/tex]
[tex]\frac{dy}{dt} = 441.655[/tex]
[tex]\frac{dy}{dt} = 442[/tex]
Hence, the distance is 442 miles
Solve the following system of equations: {−6x−y=2−7x−4y=−9
Answer:
x=-1, y=4. (-1, 4).
Step-by-step explanation:
-6x-y=2
-7x-4y=-9
----------------
y=-6x-2
-7x-4(-6x-2)=-9
-7x+24x+8=-9
17x=-9-8
17x=-17
x=-17/17
x=-1
-6(-1)-y=2
6-y=2
y=6-2=4
If you can drive 340 miles in 5 hours, what is the unit rate? *
(2 Points)
Enter your answer
Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
Show all your work and explain why the triangles are similar or why they are not
Please help and give a good explanation
Answer:
RM / RP = 10/18 = 5/9
RN/RQ = 7/21 = 1/3
Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.
Step-by-step explanation:
The triangles PRQ and MRN are not similar.
Similar triangles:Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:
∠R = ∠R
∠Q = ∠N
∠P = ∠M
The following proportion rule must apply below:
PR / MR = RQ / RN = PQ / MN
18 / 10 = 21 / 7
9 : 5 ≠ 3 : 1
Therefore, the triangles are not similar
learn more on similar triangles here: https://brainly.com/question/10810713
You move right 3 units. You end at (5, 2). Where did you start?
Answer:
8,2
Step-by-step explanation:
Can y’all help me on question 34?!
Answer:
c) step 3
Step-by-step explanation:
7 (y - 10) + 8 - 6 (3 + 1)
y = 13
substitute 13 for y
7 (13 - 10) + 8 - 6 (3 + 1)
solve inside the brackets:
7 (3) + 8 - 6 (4)
multiply:
21 + 8 - 24
solve:
5
how do i solve this?
Answer:
m∠R = 60°
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 EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = ∠R
Opposite Leg of ∠R = 10√3
Hypotenuse = 20
Step 2: Solve
Substitute in variables [sine]: [tex]\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}[/tex][Equality Property] Trig inverse: [tex]\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})[/tex]Evaluate trig: [tex]\displaystyle R = 60^\circ[/tex]Help plz need the answer asap
Answer:
The video is blocked but you can type your question on here1
Step-by-step explanation:
15 Points, please give full equation on how you answer.
PLS HELP ME OUT WITH THIS
Student A: 78, 99, 80, 85, 95, 79, 85, 96
Student B: 100, 80, 79, 75, 92, 93, 75, 78, 84
Student A Mean:
Student A Mean Absolute Deviation:
Student B Mean:
Student B Mean Absolute Deviation:
Student A Mean:
(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125
Student A Mean Absolute Deviation: 7.15625
Student B Mean:
(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84
Student B Mean Absolute Deviation: 7.33
What is the surface area of a cube with an edge length of 8 inches?
384 in.
288 in.
192 in.
512 in.
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week. A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level. What would be the appropriate alternative hypothesis if he wanted to substantiate his suspicion
Answer:
The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be [tex]H_{a}: \mu > 238[/tex]
Step-by-step explanation:
At the null hypothesis, we test that the mean is equal to a certain value.
At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 238[/tex]
A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu > 238[/tex]
Part 2: Identify key features and graph a circle from general form.
Answer the following questions to determine the key features of the circle whose equation is shown
and then graph it.
x2 + y2 + 12x-2y - 12 = 0
a) Write the equation of the circle in standard form. (3 points)
b) What is the center of the circle? (1 point)
c) What is the radius of the circle? (1 points)
d) Sketch a graph of the circle and label the center and the endpoints of the horizontal and
vertical diameter. (4 points)
Answer:
Subtract
12
from both sides of the equation.
x
2
+
y
2
−
12
x
+
2
y
=
−
12
Complete the square for
x
2
−
12
x
.
Tap for more steps...
(
x
−
6
)
2
−
36
Substitute
(
x
−
6
)
2
−
36
for
x
2
−
12
x
in the equation
x
2
+
y
2
−
12
x
+
2
y
=
−
12
.
(
x
−
6
)
2
−
36+y2+2y=−12
Move
−36
to the right side of the equation by adding
36
to both sides.
(x−6)2+y2+2y=−12+36
Complete the square for
y2+2y.
Tap for more steps...
(y+1)2−1
Substitute
(y+1)2−1
for
y2+2y
in the equation
x2+y2−12x+2y=−12.
(x−6)2+(y+1)2−1=−12+36
Move
−1
to the right side of the equation by adding
1
to both sides.
(x−6)2+(y+1)2=−12+36+1
Simplify
−12+36+1.
Tap for more steps...
(x−6)2+(y+1)2=25
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r=5 h=6 k=−1
The center of the circle is found at
(h,k).
Center:
(6,−1)
These values represent the important values for graphing and analyzing a circle.
Center: (6,−1)
Radius:
5
image of graph
Step-by-step explanation:
Answer:
A) (x+6)^2 + (y-1)^2 =49
B) (-6, 1)
C) Radius of 7
D) I’ll try to add picture
Step-by-step explanation:
hotomath
A large hotel has five elevators. On any given day, there is an 8% chance that one elevator is broken The operate independently of one another. The Robertsons are staying in this hotel for five days. Let X represe number of days one elevator is broken during their stay What are the mean and standard deviation of X? W,-0.4.5, -0.074 W, 0.4.0, 0.61 , -2.5, 0, -1.92 O w.-4.0, 0.89
Answer:
0.4, 0.61
Step-by-step explanation:
The mean and standard deviation of X is 0.4.0, 0.61. The correct option is B.
What is standard deviation and mean?A standard deviation (or ) is a measurement of the degree of dispersion of the data from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.
The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Mean = sum of terms/number of terms
Therefore, the correct option is B, 0.4.0, 0.61.
To learn more about standard deviation, refer to the link:
https://brainly.com/question/23907081
#SPJ2
Question 8(Multiple Choice Worth 1 points)
(07.04 LC)
What are the factors of x2 - 81?
O (X + 9)(x -9)
O (X - 9)(x - 9)
(x + 3)(x - 27)
O Prime
Answer:
(X + 9)(x -9)
Step-by-step explanation:
Subtraction of perfect squares:
The factors of a subtraction of perfect squares is given by:
[tex]a^2 - b^2 = (a-b)(a+b)[/tex]
What are the factors of x² - 81?
This can be written as:
[tex]x^2 - 81 = (x)^2 - (9)^2[/tex]
So
[tex](x)^2 - (9)^2 = (x - 9)(x+9)[/tex]
Answer:
(X + 9)(x -9)
Step-by-step explanation:
please like it up and 5 stars
6/15=3/x
HELPP PLEASE
Answer:
15/2 or 7.5 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{6}{15} = \frac{3}{x}[/tex]
simply cross multiply
[tex]6x = 45[/tex]
divide both sides by 6
[tex]\frac{6x}{6} = \frac{45}{6}[/tex]
hence x will be equal to [tex]7.5[/tex]
Is it required to for it to be in decimals?
find the area simplify your answer
Answer:
6x^2-8x-64
Step-by-step explanation:
the answer for solving a quadrilateral
is base times height
so the base is 2x-8 and the height is 3x+8
(2x-8)(3x+8)
expand
6x^2-8x-64
Hope that helps :)
Please give brainliest
12x+6n-36 in standard form
i need helpon this
please
2. Which of these is a combination problem?
How many different ways can a manager review 3 out of 5 employees if he reviews them in a specific order?
In how many different ways can Maria choose 5 roses from a bunch of 10 roses.
How many license plates can be formed with the digits 3, 2, 7, 0?
How many different ways can the letters in the word 'seven' be arranged?
THAT SHOULD BE THE ANSWER
Ambitious
268 answers
76.4K people helped
This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.
For the first digit you can choose from the numbers 0,1,2...,9 or 10 choices.
Now the next 5 digits will all be letters all being different.. recall there are 26 letters in the alphabet.. for our second digit we have 26 choices, for our third digit we have 25 choices(because we already used one of the 26 letters and we can't repeat), for our fourth digit we have 24 choices.... and well I'm sure you are catching on by now...
Here is what the whole calculation looks like:
10(26)(25)(24)(23)(22) = 78,936,000
Step-by-step explanation:
Answer:
The answer should be the one with roses
Step-by-step explanation:
For each of the following coordinate
pairs, write the Quadrant where they would
be located. You do not have to use Roman
numerals.
(-3, 2) Quadrant ?
(-6, -8) Quadrant ?
(4, 10) Quadrant ?
(9,-5) Quadrant ?
What is the equation of this trend line?
Enter your answers by filling in the boxes.
K= J+
Answer:
K = -2 J = 28
Step-by-step explanation:
I took the k12 test
Answer:
The answer is K=-2 J+24.
Step-by-step explanation: