Answer:
y = x + -5
Step-by-step explanation:
Solution
To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):
(1, -4):
-4 = 1 + b-4 - 1 = 1 + b - 1b = -5(2, -3):
-3 = 2 + b-3 - 2 = 2 + b - 2b = -5Thus, the equation is y = x + (-5).
Grace bought a new sweater on sale for 20% off the original price and an additional 15% off the discounted price. If the sweater originally cost $60, what was the final cost that Grace paid for the discounted sweater?
Answer:
$40.80.
Step-by-step explanation:
60 - 0.20*60
= 60 - 12
= $48
48 - 48*0.15
= 48 - 7.20
= $40.80.
Pls help
In the diagram below, △KLM≅△NOP.
What is the length of line segment KL¯¯¯¯¯?
A - 12 units
B - 14 units
C - 17 units
D - 19 units
The value of x will be equal to 14 units.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
Since the two triangles are congruent so the value of x will be calculated as:-
2x - 9 = x + 5
2x - x = 9 + 5
x = 14
Therefore the value of x will be equal to 14 units.
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A television game show has 12 doors, of which the contestant must pick 2. Behind 3 of the doors are expensive cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins at least one car.
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
[tex]\blue{———hope it helps———}[/tex]
[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
Simplify the following...
[tex]1 \cfrac{1}{5} + 2 \cfrac{1}{7} [/tex]
HELP!!
Find the lateral area of the pyramid to the nearest whole number
85 m2
77 m2
47 m2
51 m2
literally ur the best human if u answer this :)
Answer:
The area of the pyramid is 51 m²
Answer:
The answer is 51m
Step-by-step explanation:
Write the system of equations and construct the corresponding matrix model for the following exercise.Suppose that one of three different alleles is present in each individual in a population. In each generation the following happens: 8% of individuals carrying allele X mutate to carry allele Y, 6% mutate to allele Z; and the rest remain unchanged; 0.1% of individuals carrying allele Y mutate to carry allele Z and the rest remain unchanged; 90% of individuals carrying allele Z mutate to carry allele X and the rest remain unchanged.
The system of equations and the corresponding matrix model for the following above is given and explained below.
What is a system of equations?A system of Equations refers to a set of equations that one must solve or interact with all at once.
What is the system of equation for the exercise above?Let's call the person who carries alleles X, Y, and Z - Xt, Yt, and Zt, respectively.
Also, lets assume that 5 percent of X alleles mutate from X to Y and 3 percent mutate from X to Z in each generation, thus the percent of X alleles remains constant at:
100 - (5 percent + 3 percent) = 92 percent.
Also, because only 0.1 percent of Y alleles evolve from Y to Z, the percentage of Y alleles remains constant at 99.9%.
We must also consider that 90 percent of Z alleles do not change from Z to X, implying that 10% of Z alleles are indifferent.
Hence, the various equations describing the system will be given as:
Xt+1 = 0.92Xt + 0.92Zt
Yt+1 = 0.05Xt + 0.999Yt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt
or
Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt
Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt.
The Matrix Model is given as follows:
[tex]\begin{bmatrix}X_{t+1} \\Y_{t+1} \\Z_{t+1} \end{bmatrix}[/tex] = [tex]\left[\begin{array}{ccc}0.92&0&0.9\\0.05&0.999&0\\0.03&0.001&0.1\end{array}\right][/tex] = [tex]\begin{bmatrix}X_{t} \\Y_{t} \\Z_{t} \end{bmatrix}[/tex]
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somebody please help me with this
Answer:
1/21
Step-by-step explanation:
there are 7 songs total
3 rock sounds, 2 reggae songs and 2 country songs
probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time
probability of choosing a country song first time = # of country songs / # of total songs
# of country songs = 2
total # of songs= 7
so probability of picking a country song = 2/7
if she doesn't return the disc there are 7 - 1 = 6 more songs left and 2 - 1 = 1 is country
probability of choosing country song second time
again probability = # of country songs / total # of songs
here there are only 6 songs total and 1 of them are country
so probability = 1/6
we have probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time
first probability = 2/7
second probability = 1/6
total probability = 2/7 × 1/6 = 1/21
Simplify the expression. Write your answer as a power.
Answer:
π^8
Step-by-step explanation:
π^30/π^22= π^8
Nick's science class is learning about animal classification, and they listed as many animals as they could in a minute. They came up with 32 mammals, 16 birds, 8 amphibians, 8 reptiles, 12 fish, and 4 invertebrates.
Select all of the statements that describe the data.
They listened to an equal of amphibians and reptiles.
There are more mammals on the list than birds and fish combined.
The modes of the data are amphibians and reptiles.
A quarter of the animals they listened are either amphibians or fish.
Answer:
The second one is the correct answer
Step-by-step explanation:
There are more mammals on the list than birds and fish combined.
Which is the length of the hypotenuse of the triangle? Triangle A B C. Side A C is 12 feet and side C B is 35 feet. StartRoot 94 EndRoot ft
Answer:37
Step-by-step explanation:
just took the test
C. A store window has a perimeter of 18 feet. The width
is 6 feet. Find the length and the area.
211 +18).
i have a slight feeling the answer ain’t 21
Answer:
I think it is
Step-by-step explanation:
4,8,5,15,6,12,7,6
8,5,15,6,12,7
5,15,6,12
15,6
15+6=21
HELP!!
Which of the statements below are true for linear functions? Select all that apply.
1. The general equation is y = mx + b.
2. The general equation is y = ax^2 + bx + c
3. The general equation is y = ab^x
4. The graph contains a vertex
5. The slope of the graph is constant and can be defined as rise over run.
[tex]\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]
Which of the statements below are true for linear functions?
Select all that apply.
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
The general equation for linear functions is [tex]\bold{y=mx+b}[/tex].
The equation [tex]\bold{y=ax^2+bx+c}[/tex] is the general equation for quadratic functions.
The equation [tex]\bold{y=ab^x}[/tex] is the general equation for exponential functions.
Linear functions don't have a vertex, they have slope (m) and y-intercept (b).
One way we can define the slope of a linear function is
[tex]\bold{Slope=\dfrac{Rise}{Run}}[/tex]
So we conclude that the right options are
[tex]\square\!\!\!\!\checkmark[/tex] The general equation is y=mx+b.
[tex]\square\!\!\!\!\checkmark[/tex] The slope of the graph is constant and can be defined as rise over run.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
How would logx (49) = x look like in exponential form
I'm assuming the given log equation is [tex]\log_{\text{x}}(49) = \text{x}[/tex]
If so, then the exponential form is [tex]\text{x}^{\text{x}} = 49[/tex]
This is because the general form [tex]\log_{\text{b}}(\text{x}) = \text{y}[/tex] transforms into [tex]\text{y} = \text{b}^{\text{x}}[/tex]
For both equations, the 'b' is the base.
Select the correct answer. what is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11? a. 0.257 b. 0.284 c. 0.312 d. 0.356 e. 0.548
Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.
What is the probability of having the required hemoglobin level?This question does not have the relevant data attached so I will use a similar question.
The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:
= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years
= (162 - 40 - 76) / 162
= 0.531
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A listing for a home for sale is shown as follows: "4/3/2 house for sale. Price
$140,000." What does "4/3/2" mean?
what’s the circumference, to this problem ?
Answer:
= 20.7345115137
or
≈ 21
Step-by-step explanation:
Circumference = 2 x π x radius
Circumference = 2 x π x 3.3
hope this helps
have a good day
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*3.3[/tex] and as we solve it more the final answer that we get is [tex]C=20.735[/tex].
Hope this helps! Let me know if you have any questions
In a field, water flows down through the soil and then through a layer of loose rocks before the flow stops.
What type of material did the water most likely encounter when it stopped?
a layer of granite
another soil layer
a layer of rocks with cracks
another layer of loose rocks
Answer:
A layer of granite
Step-by-step explanation:
This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.
The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We get;
An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.
After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.
Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.
In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.
Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
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Solve the system using linear combination. Show all work.
{9x + 4y = 28
{2x + 4y = 0
Answer:
(4,-2)
Step-by-step explanation:
What is linear combination?
Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.
Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.
Adding the two equations. (subtracting the second equation from the first) we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.
9x + 4y = 28
- (2x + 4y = 0)
==> remove parenthesis and apply negative sign
9x + 4y = 28
-2x - 4y = -0
----------------------
7x = 28
==> divide both sides by 7
x = 4
Finding the y value:
The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.
2x + 4y = 0
==> plug in x = 4
2(4) + 4y =0
==> multiply 2 and 4
8 + 4y = 0
==> subtract 8 from both sides
4y = -8
==> divide both sides by 4
y = -2
so we have x = 4 and y = -2
the solution of the equation would be (4,-2)
Checking our work
If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )
Equation 1 : 9x + 4y = 28
==> plug in x = 4 and y = -2
9(4) + 4(-2) = 28
==> multiply 9 and 4
36 + 4(-2) = 28
==> multiply 4 and -2
36 - 8 = 28
==> subtract 8 from 36
28 = 28
Equation 2 : 2x + 4y = 0
==> plug in x = 4 and y = -2
2(4) + 4(-2) = 0
==> multiply 2 and 4
8 + 4(-2) = 0
==> multiply 4 and -2
8 - 8 = 0
==. Subtract 8 from 8
0 = 0
Both are correct so our solution is correct!
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Question 3 :
Find the value of 3x3 - 4x2 + x - 5 when x = -3
(A) -54 (B) -71 (C) -32
The length of a race is 26 miles and 385 yards. what is the length of the marathon in yards
Answer:
46,145 yards
Step-by-step explanation:
convert miles to yards then add
pls help and thank you
Answer:
cost price of the bat: $3130.43
Step-by-step explanation:
3600/1.15 = 3130.43
Hope this helps
Given 184% what is the equivalent fraction and decimal in simplest form?
Step-by-step explanation:
184% = 46/25 = 1 21/25 as a fraction
5) For the geometric sequence with the following terms, a8= 32 and a11= 256, find the ratio and then find a13
Using geometric sequence concepts, it is found that:
The common ratio is of 2.The 13th term is of 1024.What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
As a function of the mth term, the nth term is given by:
[tex]a_n = a_mq^{n - m}[/tex]
Hence, considering the 8th and the 11th term, the common ratio is found as follows:
[tex]a_{11} = a_8q^3[/tex]
[tex]32q^3 = 256[/tex]
[tex]q^3 = 8[/tex]
q = 2.
Then, considering the 11th term and the common ratio, the 13th term is given as follows:
[tex]a_{13} = a_{11}q^2 = 256 \times 2^2 = 1024[/tex]
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A cylindrical pipe is 28m long.its internal radius is 3.5 and external radius is 5 cm calculate:
The volume in cm,of the metal used in making the pipe
The volume of water in litres that the pipe can hold when full,correct to one decimal place
The volume in cm 112098 cm³.
The volume of water in liters 112 liter.
What is volume of cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder.
Given: height= 28m= 2800cm, internal radius= 3.5 cm, external radius = 5 cm.
Volume of cylinder
= πr²h
= 3.14(5²-3.5²)2800
=3.14*12.75*2800
=112098 cm³
Volume of water in liter is 112.098 or 112 liter.
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use your formula to convert 20 minutes to seconds please help me
Step-by-step explanation:
Converting 20 minutes into second....
20 × 1 minute
20 × 60 seconds
1200 seconds...
RIGHT ANSWER GETS BRAINLIST WORTH 30+ POINTS
Two number cubes are rolled.
What is the probability that the first lands on 6 and the second lands on an even number?
Select your answer, as a fraction in simplified form.
Question 5 options:
1/6
2/6
1/12
1/3
Answer:
Hi. Here is your answer:
1/6
Step-by-step explanation:
this is because 1/6 is equal to 5/30 of your answer.
here is proof.
which school do you go to?
Hope this helps
Brainliest please
Have a great day
Please fully rate!
The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
Calculation of the probabilities:Since The probability of rolling a [tex]6[/tex] should be [tex]\frac{1}{6}[/tex] because there are [tex]6[/tex] total numbers.
Now The probability of rolling an odd number is [tex]\frac{1}{2}[/tex], since there are an equal number of odd and even numbers on a die.
Now the final probability should be
[tex]=\frac{1}{6}*\frac{1}{2}[/tex]
[tex]=\frac{1}{12}[/tex]
Therefore, The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
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Find the Volume of a triangular pyramid! ~
Answer:
20
Step-by-step explanation:
using the given formula:
V = 1/3(Base Area)(height)
V = 1/3 (5)(12)
V = 1/3 (60)
V = 20
Answer:
20
Step-by-step explanation:
V = 1/3Bh
V = 1/3 x 5 x 12
V = 4 x 5
V = 20 cubic feet
Mick recently had new carpet installed. the cost of the carpet including installation was $8.14 per square foot before any discounts. the rectangular room he had carpeted measured 24 feet long and 18 feet wide. if mick actually paid $3,235.16, what discount percentage did he receive? assume there are no taxes.
Answer:
8%
Step-by-step explanation:
Let’s first determine the cost before any discount.
To do so, we first need to determine the area to be carpeted:
Area of Rectangle = Length × Width = 24 ft × 18 ft = 432 square feet.
To find the cost before discount we need to multiply the area by the cost per square foot:
Cost Before Discount = Area × Cost per square foot
Cost Before Discount = 432 square feet × $8.14 per square foot
Cost Before Discount = $3,516.48
We can now determine the discount percentage he received:
Cost After Discount = Cost Before Discount − (Discount % × Cost Before Disc.)
$3,235.16 = $3,516.48 – (Discount % × $3,516.48)
To solve, it is easiest to plug in each answer to see which discount percentage is the correct solution (i.e. “work backwards” from the given answers) or use the equation solver on our calculator.
We find that a discount of 8% is the correct solution.
If you instead prefer to use algebra to solve for the discount percentage, here are the steps.
We will rewrite the equation, using x to represent “Discount %”.
$3,235.16 = $3,516.48 − (x × $3,516.48)
$3,235.16 = $3,516.48 − $3,516.48x
Factoring out $3,516.48 we have:
$3,235.16 = $3,516.48(1 − x)
Note: Once you get comfortable with this type of problem you should skip straight to the step above.
Dividing both sides by $3,516.48 we have:
$3,235.16$3,516.48=1−x
0.92 = 1 − x
x = 0.08 = 8%
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