The slope of the line that passes through (6, 1) and (10, 8) is 7 / 4.
How to find the slope of a line?The slope of a line is the change in dependent variable with respect to the change in the independent variable. The slope of a line is rise over run.
In other words, the slope of a line is a measure of its steepness.
Hence, let's find the slope of the line that passes through (6, 1) and (10, 8).
Therefore,
slope = Δy / Δx
slope = y₂ - y₁ / x₂ - x₁
x₁ = 6
x₂ = 10
y₁ = 1
y₂ = 8
Therefore,
slope = 8 - 1 / 10 - 6
slope = 7 / 4
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Answer: 7/4 is the slope
The weight of water is 0.036 pounds times the volume of water in cubic inches. How many pounds of water would fit into a fish tank shaped like a rectangular prism that is 14 inches deep, 25 inches wide, and 38 inches long? Round your answer to the nearest tenth when you enter it.
Answer:
Step-by-step explanation:
The weight of water is 0.036 pounds times the volume of water in cubic inches.
Volume of the tank = Length × Width × Height
= 14 × 25 × 38
= 13300 cubic inches
V
What is 72.081
Subtract 45.126
Answer:
I believe it is 26.955
Step-by-step explanation:
Answer:
The answer is 26.955
Step-by-step explanation:
The answer is 26.955 because 72.081 minus 45.126 is 26.955
Triangle DFE with coordinates D(0,0), F(3,0), and, E(3,1) is similar to triangle EHG. If vertex G has coordinates (9,3), what are the coordinates of vertex H?
Answer:
coordinates are (x,y)->(x+6,y+2)
F's coordinate is (3,0)
using the coordinates we get (9,2)
Therefore the coordinates are (9,2)
The required coordinates of vertex H are (6,2).
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
Given that triangles DFE and EHG are similar.
This means that the ratios of the lengths of their corresponding sides are equal.
As per the question, we have:
DF/FH = DE/EG
Since DF = 3 and DE = 1, we can set up the following equation to find the length of FH:
FH = EG × (DF/DE)
Substituting the known values, we get:
FH = EG × (3/1)
As we know that EG = 6, we can substitute this value to find that FH = 18.
The coordinates of F are (3,0) and the coordinates of H are (x,y), we can set up the following equations to find the values of x and y:
x - 3 = 18
y - 0 = 2
Solving these equations, we find that x = 21 and y = 2.
Thus, the coordinates of vertex H are (6,2).
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An item is regularly priced at $90. It is on sale for 30% off the regular price. What is the sale price
Answer:
63
Step-by-step explanation:
Because 30 percent of 90 equals 27
Thus
90 - 27 = 63.
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What is the equation of the line that passes through the point (-1, -5) and has a
slope of -12
Answer:
Thus, the equation of a line is: y = -12x-17
Step-by-step explanation:
point = (-1, -5) slope = -12Using the point-slope form
\(y-y_1=m\left(x-x_1\right)\)
where m is the slope, and (x₁, y₁) is the point
substituting the values m = -12 and the point (-1, -5)
\(y-y_1=m\left(x-x_1\right)\)
y-(-5) = -12(x-(-1))
y+5 = -12 (x+1)
y+5 = -12x-12
y = -12x-12-5
y = -12x-17
Thus, the equation of line is: y = -12x-17
2. a food snack manufacturer samples 41 bags of pretzels off the assembly line and weighs their contents. if the sample mean is 12.7 oz. and the sample standard deviation is 0.60 oz., find the 98% confidence interval of the true mean. (10 points)
we can be 98% confident that the true mean weight of pretzel bags produced by the manufacturer lies between 12.47 and 12.93 ounces.
To finder lies between produce by the 98% confidence interval of the true mean, we can use the formula:
CI = x ± z* (σ/√n)
where x is the sample mean, σ is the population standard deviation (which we don't know), n is the sample size, and z* is the z-score corresponding to the desired level of confidence (98% in this case).
Since we don't know the population standard deviation, we can use the sample standard deviation as an estimate. The z-score corresponding to 98% confidence level is 2.33 (from the standard normal distribution table). Thus, the 98% confidence interval for the true mean is:
CI = 12.7 ± 2.33 * (0.60/√41)
CI = 12.7 ± 0.23
CI = (12.47, 12.93)
Therefore, wewe can be 98% confident that the true mean weight of pretzel bags produced by the manufacturer lies between 12.47 and 12.93 ounces.
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pls help me with this ..
Answer:
1. Volume = 1,323
2. Area = 866.64
Step-by-step explanation:
Volume of Prism = Area of base×height
First find the volume of the rectangular prism:
Volume of Rectangular Prism= w*h*l = (9)(14)(8) = 1,008
w = width = 14
h = height = 8
l = length = 9
Second find the volume of the triangular prism:
Volume of Triangular Prism= 1/2(b*h*l) = 1/2(5*14*9) = 1/2(630) = 315
b = base = 14
h = height = 5
l = length = 9
Now we just add the two volumes together
1,008 + 315 = 1323
Volume = 1,323
Now for the second figure, it is a capsule, to find the total surface area, we use the formula: A = 4πr² + 2πrh
a = 4 × 3.14 × 6² + 2 × 3.14 × 6 × 11
Multiply 4 and 3.14 to get 12.56
a = 12.56 × 6² + 2 × 3.14 × 6 × 11
Calculate 6 to the power of 2 and get 36
a = 12.56 × 36 + 2 × 3.14 × 6 × 11
Multiply 12.56 and 36 to get 452.16
a = 452.16 + 2 × 3.14 × 6 × 11
Multiply 2 and 3.14 to get 6.28
a = 452.16 + 6.28 × 6 × 11
Multiply 6.28 and 6 to get 37.68
a = 452.16 + 37.68 × 11
Multiply 37.68 and 11 to get 414.48
a = 452.16 + 414.48
Add 452.16 and 414.48 to get 866.64
Area = 866.64
Write least to greastest plssssssssssssssssssss
Answer:
-3.5/-3/-2.5/-21/2/ -2
What is the value of 3/8 divided by 9/10
Answer:
0.41666666666
Step-by-step explanation:
Answer:
The value is 5/12
Find two pairs of conjugates with a product of 3.
Answer:
Step-by-step explanation:
21:
3,7
8. Solve 3x = -27.
F 30
G-9
J 81
Answer: G. -9
Step-by-step explanation: -27/3 = -9
Does y=10 true or false??
Answer:
i think no it doesnt so false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
The cake machine also uses the equation m = 6c,
where c is the number of cakes and m is ounces of milk.
How many ounces of milk are needed to bake 12
cakes?
2
ounces
The equation that machine uses is m= 6c.
WHAT IS AN EQUATION?The word equation and its cognates in other languages may have slightly different meanings;example,in French an équation is defined as containing one or more variables, while in English any well-formed formula consisting of two expressions related with an equals sign is an equation.An equation is a formula that expresses the equality of two expressions by connecting them with the equals sign =.Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.ACC TO OUR QUESTION--
For measuring liquids, an ounce-designated measuring cup must be used. Although different dry materials weigh differently for a comparable measure of material, there exist dry ounces that are 1/16th of a pound. You would need a scale to conduct dry measurements. A cup contains 8 ounces of liquid. As a result, your measuring cup would contain 8 ounces of liquid milk. Unless it was specified that the quantity was a dry measurement, you would use the same liquid measure of 8 ounces if the recipe called for a cup of DRY powdered milk.KNOW MORE ABOUT MEASURING QUANTITIES HERE:
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11.628+10+1+blank+0.02+blank
Answer:
10+1+0.6+0.02+0.008
Step-by-step explanation:
number placment thosuandths and those stuff hunderths
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Which of the following numbers is irrational
A. -9/5
B. √5
C. 7/3
D. √9
Question 1 (1 point)
Given parallelogram WXYZ, where WX = 2x + 15, XY = x + 27 and YZ = 4x - 21,
determine the length of ZW, in inches.
The length of ZW=
The length of ZW is 45 inches.
What is a parallelogram?A parallelogram is a member of quadrilateral which has a pair of opposite sides to be equal, and a pair of slant opposite sides.
In the given information, we have;
WX = YZ (a pair of opposite side of a parallelogram are equal)
2x + 15 = 4x - 21
collect like terms,
21 + 15 = 4x - 2x
36 = 2x
x = 36/2
x = 18
So that;
WX = 2x + 15
= 2(18) + 15
WX = 36 + 15
= 51
XY = x + 27
= 18 + 27
= 45
Therefore,
ZW = XY (a pair of opposite sides are equal)
ZW = 45
The length of ZW is 45 inches.
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Can somebody plz help give the correct equations for both of the word problems (only if u done this before) thx :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answer:
A. 12 cm
B. brent scored 9
HOPE THIS HELPS YOU
1. h = b + 5
when b = 7,
h = 7 + 5
=> h = 12
2. o = 4b
when o = 36,
36 = 4b
=> 36/4 = b
=> 9 = b
If p and q vary inversely and p is 29 when q is 25, determine q when p is equal to 5.
Answer:If p and q vary inversely, it means that their product remains constant. So we can set up the equation:
p * q = k
where k is the constant of variation.
Given that p is 29 when q is 25, we can substitute these values into the equation:
29 * 25 = k
725 = k
Now, let's determine the value of q when p is equal to 5:
p * q = k
5 * q = 725
Dividing both sides of the equation by 5:
q = 725 / 5
q = 145
Therefore, when p is equal to 5, q is equal to 145.
Step-by-step explanation:
Answer:p1q1=p2q2
q1=25,p1=29;
p2=5,q2=?;
q2=p1q1/p2;
q2=25*29/5;
q2=29*5;
q2=145.
Step-by-step explanation:
7) Usain Bolt is almost 7 foot tall. What is this height (approximately) in meters?
Answer:
since 7 feet is 2.1336
aproximatly would be 2.08 rounded 2 meters
Step-by-step explanation:
simplify a5/a2. i don’t even know what this is
Answer:
a3 is your simplified answer.
Step-by-step explanation:
a5 divided by a2 is a3/1 which is a3.
Answer:
Step-by-step explanation:
a^3
consider carrying out m tests of hypotheses based on independent samples, each at significance level (exactly) 0.01. (a) what is the probability of committing at least one type i error when m
The probability of committing when at least one type I error at a significance level (exactly) 0.01 at m = 11 is equivalent to 0.1047.
Given that:
The hypotheses are based on independent samples with each at a 0.01 level of significance.
We know that:
P (at least one type I error is committed) = 1 - [P (No error - type I error is committed)]^m
P (at least one type I error is committed) = 1 - [(1 - 0.01)]^11
P (at least one type I error is committed) = 1 - [0.99]^11
P (at least one type I error is committed) = 1 - 0.8953
P (at least one type I error is committed) = 0.1047
So, the probability of committing when at least one type I error is equivalent to 0.1047.
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The change in the value of a linear function f(x) as x increases is shown in the table below.
f(x) -3 -2 -1 0
x -2 0 2 4
What is the rate of change? Decimal form.
m=
Answer:
m = 1/2
Step-by-step explanation:
\(m = \frac{ - 2 - ( - 3)}{0 - ( -2)} = \frac{1}{2} \)
there are 12 socks in flora drawer 9 are red and 2 are blue and 1 is green she take out one sock without looking at the color. What is the numerical probability of flora picking out a blue sock?
The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.
To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.
Given:
Total number of socks = 12
Number of red socks = 9
Number of blue socks = 2
Number of green socks = 1
The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:
Probability of picking a blue sock = Number of blue socks / Total number of socks
Probability of picking a blue sock = 2 / 12
Simplifying the fraction, we get:
Probability of picking a blue sock = 1 / 6
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What is the meaning of infinitives example?
Meaning of infinitive generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.
Explanation:
Meaning of infinitive :
Infinitive generally represents the some action or the purpose of the given word.Example of infinitive representing action is:
They will lock the front gate to prevent the house from theft.
To prevent represent the action.
As subject of the sentence.Example: To swim in the deep lake may be dangerous for a person.
As direct object :Example : i like to read in Sanskrit.
As an adverb infinitiveExample : I can't wait to eat.
Therefore, infinitive meaning generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.
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PLS HELP.
7) Find RQ
Answer:
are we doing ur homework
Step-by-step explanation:
Write the equation of the line that passes through the given points.
(9,0) and (0,3)
The equation of the line is.
(Simplify your answer. Type your answer in slope-intercept form.
y=-1/3x+3 is equation of the line that passes through the given points (9,0) and (0,3)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+c, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
x₁=9, y₁=0,x₂=0,y₂=3
Apply in slope formula
m=3-0/0-9
m=-1/3
So slope of line passing through (9,0) and (0,3) is -1/3.
y=-1/3x+c
Put (9,0) in x and y place
0=-1/3(9)+c
0=-3+c
c=3
y=-1/3x+3
Hence y=-1/3x+3 is equation of the line that passes through the given points (9,0) and (0,3)
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Please help with this I am so confused
Find the indicated side of the right triangle
Answer:
x=9
y=9sqrt2
Step-by-step explanation:
Since it is a 45 45 90 triangle, the two side lengths are the same
But the hypoteneuse is always the side length time sqrt 2
Answer:
9
Step-by-step explanation:
so to find x you have to use the tan ratio because x is the opposite of the angle at the top and you are given which is 9
tan45=opposite/adjacent
tan45=x/9
x=tan45×9
=9
I hope this helps
Consider the following 8 numbers, where one labelled
x
is unknown.
34
,
42
,
38
,
x
,
4
,
25
,
3
,
13
Given that the range of the numbers is 55, work out 2 values of
x
.
The values of x that will give a range of 55 include 42 and -13.
What is range?A range simply means the difference between the highest number that is given and the lowest number that is given.
In this case, the chose numbers include:.
Larger number = 42
Smaller number = -13
Range = Larger number - Small number
= 42 - (-13)
= 42 + 13
= 55
The range of 55 is gotten.
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The two possible values of x given the range are -13 and 58.
What are the possible values of x?Range is used to measure the variation of a dataset. Range is the difference between the highest number in the dataset and the lowest number in the dataset.
Range = highest number - lowest number
x can either be the largest number in the dataset or the smallest number in the dataset.
Value of x if it is the smallest value in the dataset.
42 - x = 55
x = 42 - 55
x = -13
Value of x if it is the largest value in the dataset.
x - 3 = 55
x = 55 + 3
x = 58
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PLEASE ANSWER QUICK!!!!! 25 POINTS
find the probability of exactly one successes in five trials of a binomial experiment in which the probability of success is 5%
The probability of one success in five trials in the binomial experiment with a success probability of 5 % is 20. 4 %.
How to find the probability of success ?The formula for calculating the likelihood of one success in a binomial probability with a 5% chance of success is:
P ( X = 1) = (5 choose 1) x ( 0.05 ) x (0.95 ) ⁴
Solving for this success would give :
= ( 0.05 ) x ( 0. 95 ) ⁴
= 0.05 x 0.8145
= 0.040725
Then we multiply both sides to get :
P(X = 1) = 5 x 0.040725
= 0.203625
= 20. 4 %
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