Equation of the line is y = -(1/3)x+5
The figure shows a straight line of which two points and thereby the slope can be found out.
Equation of a line is in the slope-intercept form is,
y = mx +c,
where m is the slope of the line and c is the y-intercept of the line.
From the figure, two points on the line are, (0,5) and (3,4).
Then slope = (4-5)/(3-0)
= -1/3
Now y-intercept, c is the y-co-ordinate when x = 0.
From the figure, when x = 0, y = 5
So y-intercept, c = 5.
Thus the equation of the line is, y = -(1/3)x+5
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The temperature of a day at the end of winter starts in the morning at -2 degrees Fahrenheit. The weather report notes that the temperature increases 10 degrees
by midday. At 5:00 pm, the temperature has doubled since midday. What was the temperature at 5:00 pm?
A 24 degrees
B16 degrees
C-16 degrees
D10 degrees
Answer:
B. 16 degrees
Step-by-step explanation:
First, we find temperature at miday:
- 2 (Temperature at morning) + 10 (Increase in temperature by midday) = 8 degrees (Temperature at midday)
Now, for temperature at 5:00 pm:
8 x 2 (At 5 pm temperature is double since midday) = 16 degrees (Temperature at 5:00 pm)
Answer:
B 16 degrees
Step-by-step explanation:
Find the temperature
We start at -2
We increase 10 degrees by noon
-2 + 10 = 8
at 5pm the temperature doubles
8*2 = 16
Pentagon A’B’C’D’E’ is the image of pentagon ABCDE under a dilation with a scale factor of 3/4.
What is the length of segment AE?
The length of segment A'E' under a dilation with a scale factor of 3/4 is; 3/2 units.
How to Interpret Scale of Dilation?
From the included graph the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;
A: (0, 0)
E: (0, 2)
The length of the segment AE = √((2 - 0)² + (0 - 0)²) = √(2²) = 2
When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 3/4, we have;
Length of segment A'E' = 3/4 × Length of segment AE
Therefore;
Length of segment A'E' = 3/4 × 2 = 3/2 units.
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PLEASE HELP ME I DON'T UNDERSTAND
Answer:
(0, 3)
Step-by-step explanation:
-x+2y=6
-x=6+2y
x=-6+2y
-6+2y+2y=6
-6+4y=6
4y=12
y=3
-x+2(3) = 6
-x+6=6
-x=0
x=0
Answer: 0, 3
Mary Beth collected 8 pounds of aluminum cans to recycle to start. She plans on collecting 3 more pounds each week.
How many total pounds of aluminum cans will she have collected after 3 weeks?
Answer:
She will have a total of 17 pounds.
Step-by-step explanation:
You could simply put the question is slop intercept form to figure it out from there.
y = m(x) + b
y = 3(x) + 8
y = 3(3) + 8
y = 9 + 8
y = 17
Pls mark Brainliest with the crown
wo horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain or show your reasoning.
Answer:
Step-by-step explanation:
Multiply 32 by 5 = 160
Multiply 28 by 5 =140
subtract 140 from 160
Answer Horse A would have traveled 20 feet farther the Horse B
Shawn borrows $600 to be paid back in one year with 8% simple interest. How much interest will Shawn pay?
Answer:
48
Step-by-step explanation:
0.08 × 600 =48
for the percent you move the decimal forward twice.
Write an equation for the line parallel to the given line that contains C.
C(4,6); y=x+7
The equation of the parallel line is….
The equation of the parallel line is y = x + 2.
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
The point = C(4, 6)
And, equation of line is y = x + 7
Since, Slope of Parallel lines are always same.
So, The slope of the given line is calculated as;
y = x + 7
m = dy/dx = 1
Thus, Slope of parallel lines is 1.
Since, The equation of line is passes through point C (4, 6).
So, The equation of line with slope(m) 1 and point C(4, 6) is;
y - 6 = 1 (x - 4)
y - 6 = x - 4
y = x - 4 + 6
y = x + 2
Thus, The equation of the parallel line is y = x + 2.
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A rancher is filling a trough for her horses. The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. How long will it take for the trough to have 80 gallons of water?
The time for the trough to have 80 gallons of water is 5 minutes.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the number of minutes be represented as m.
The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. This will be:
25 + 11m =80
Collect like terms
11m = 80 - 25
11m = 55
Divide
m = 55 / 11
m = 5
Therefore, there will be 5 minutes.
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What is the y-intercept?
DONT IGNORE HELP PLEASE
Answer:
y = - [tex]\frac{3}{2}[/tex] x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0-3}{2-0}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - [tex]\frac{3}{2}[/tex] x + 3 ← equation of line
Estimation Solve the equation. First estimate using the perfect square closest to 85. Then use a calculator.
72 = 85
Estimate.
Z~ 9, -9"
(Use a comma to separate answers as needed.)
Use a calculator.
zan
(Round to the nearest tenth as needed. Use a comma to separate answers as needed.)
Answer: z aprox = 9.2
Step-by-step explanation:
1) Square root 85 to get the answer
sqrt(z^2)=sqrt(85)
z = sqrt(85)
z = 9.2195
z aprox = 9.2
There are 4 consecutive integers with a sum of –278. What is the greatest of the 4 integers?
The greatest of the 4 consecutive integers with a sum of -278 is -68
Let n, n + 1, n + 2 and n + 3 be four consecutive integers.
The sum of four consecutive integers is -278.
⇒ n + (n + 1) + (n + 2) + (n + 3) = -278
⇒ n + n + n + n + 1 + 2 + 3 = -278
⇒ 4n + 6 = -278
⇒ 4n = -278 - 6
⇒ 4n = -284
⇒ n = -284/4
⇒ n = -71
So, the consecutive integers would would be:
n = -71
n + 1 = -70
n + 2 = -69
n + 3 = -68
here, the greatest of the 4 integers is -68
Therefore, the greatest of the 4 consecutive integers with a sum of -278 is -68
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Anya plays one round of her favorite online game every day. One week, she played 7 rounds and scored between 120 and 300 points each round. She calculated the mean and median of those scores.
Then, Anya found out that the day she scored 300 points was a special "double points" day, so she actually earned 600 points, not 300.
How will this amount increasing affect the mean and median?
Answer:
D: The mean will increase, and the median will stay the same.
Step-by-step explanation:
Strategy
The mean and median are two ways to describe the center of a data set.
When a data set is almost symmetrical, the mean and median are close together.
When a data set is not symmetrical, the mean is usually closer to the outliers or tail than the median.
Let's reason conceptually about the measures of the center since we do not know the exact values.
Reasoning about the median
There are 7 scores. When the scores are in order from least to greatest, the median is the 4th score.
The day when Anya scored 300 points was the largest score both before and after that score was increased. So that is the 7th score when we order them from least to greatest.
Changing the 7th score does not change the 4th score, so the median stays the same.
Reasoning about the mean
Let's remember how to calculate the mean:
mean = total points/number of rounds
The largest score increasing from 300 to 600 points increases the total number of points. However, it does not change the number of rounds. So the mean increases.
Conclusion
D: The mean will increase, and the median will stay the same.
Write the plural form of the noun. 1. menu 2. speech 3. theory 4. era Math Write the given number in word form. 9. standard form: 290.1 word form: 10. standard form: 7,035.486 word form: 5. lady 6. mailbox 7. patio 8. apostrophe
Menus, speeches, theories, eras, ladies, mailboxes, patios, apostrophes are the plural forms of all the specified nouns as provided in the question.
What is Word form?The written format or the word format of any number provided is called as its word form.
In this question, we are asked to find out the word form of 290.1 and 7,035.486.
290.1 in word form can be written as Two Hundred and ninety point one.
7,035.486 in word form can be written as Seven thousand and thirty-five point four eight six.
What is Plural form?Any word or noun that has to be described such that it is present more than one in number is represented by its plural form. Almost all of the noun words have their plural forms.
The plural forms of the asked nouns have been specified as above already.
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pete's pizza sells 12 inch pizzas. if pizza diameter has a mean of 12 inches and a standard deviation of .25 inches, what percent of pizzas are less than 12.04 inches? (z value of .16 is equal to a cumulative standardized normal distribution of .5636). 56.36% 43.64% 6.36% cannot be determined with the information given
The percent of pizzas that are less than 12.04 inches is 56.36%
Given the following:
Mean, μ=12
Standard deviation, σ=0.25
Percent of pizzas less than 12.04:
Let P(X<12.04) be percent of pizzas less than 12.04
P(X<12.04)=P(Z<(x-μ)/σ)
=P(Z<(12.04-12)/0.25)
=P(Z<0.16)
Z-value of 0.16 from cumulative standardized normal distribution is 0.5636
Given that P(X<12.04)=P(Z<0.16), and P(Z<0.16) from normal distribution table is 0.5636,
P(X<12.04)=P(Z<0.16)=0.5636
P(X<12.04)=0.5636
=56.36%
Hence, the correct choice is 56.36%
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PLEASE HELP THIS MAKES NO SENSE AND WOULD BE VERY MUCH HELPFUL IF YOU CAN JUST ANSWER THEM GRADES ARE DUE TOMORROW, please help.
Distance between M(6,-7) and a line that contains the points C(-6,-2) and H(-1,10) is 7.846
First we will find the equation of the line containing the points C(-6,-2) and H(-1,10).
Take (x₁, y₁) = (-6,-2) and (x₂, y₂) = (-1,10).
Then the slope of the line, m = y₂-y₁/x₂-x₁
= 10- -2/-1- -6
= -12/7
So the equation of the line is
y-y₁ = m(x-x₁)
⇒ y- -2 = -12/7(x- -6)
⇒ y+2 = -12/7(x+6)
⇒7(y+2) = -12(x+6)
⇒ 7y +14 = -12x -72
⇒ 12x+7y +14+72 = 0
⇒ 12x+7y+86 = 0
This is in the form ax+ by+ c = 0
Also given the point (x, y) = (6, -7).
Distance between a point (x, y) and a line ax+ by+ c = 0 is,
[tex]\frac{|ax+by+c|}{\sqrt{a^2+b^2} }[/tex].
So Distance between M(6,-7) and the line 12x+7y+86 = 0 is
[tex]\frac{|12.6+7.-7+86|}{\sqrt{12^2+7^2} }[/tex] = |72-49+86|/√(144+49)
= 109/√193
= 7.846
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Question 14 (5 points) Find the distance between (6, -2) and (1, -2). 7 units 5 units 6 units 4 units
Answer:
5 units
Step-by-step explanation:
Which 3 measurements could be the dimensions of a right triangle?
(a² + b² = c²)
Answer:
5, 12, 13
Step-by-step explanation:
let a = 5 , b = 12 , c = 13 , then
5² + 12² = 25 + 144 = 169
13² = 169
so a² + b² = c²
Answer:
3, 4, 5
Step-by-step explanation:
In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.
Lets say a = 3, b = 4, and c = 5
The formula is a² + b² = c²
3² + 4² = 5²
9 + 16 = 25
25 = 25
Therefore, 3, 4, and 5 can be dimensions of a right triangle.
Rewrite the power as a product of powers (2ax)^3
The power can be re written as a product of (2ax)^3 as (2ax *2ax* 2ax ).
What is product and power?Product can be described as the multiplication operation of two or more terms so that another term can be gotten just like the one that is been given in the question that we were asked to rewrite.
Power serves as the degree that is been found on the terms , the degree that can be on the term is 3, then this can be expressed in three terms which will be done below.
Therefore, the given expression (2ax)^3 can be rewritten as (2ax *2ax* 2ax )
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-(1.67+ 1.67 +26.6) x 10-24
-29.94 x 10-24
-2.994 x 10-23
The mass of a water molecule is about 2.994 x 10-23 g.
Look at the Example. A hydrogen peroxide molecule has two oxygen atoms and
two hydrogen atoms. What is the mass of one molecule of hydrogen peroxide?
Write your answer using scientific notation.
2 a. Use the information from the Example. Complete the steps to find how
many grams as great the mass of one oxygen atom is than the mass of one
hydrogen atom.
(2.66 x 10-23) - (1.67 x 10-24) =(
The mass of an oxygen atom is
=
x 10-24) (1.67 x 10-24)
-) X 10-24
X 10-24
X 10-23
Answer:
is it not 10 minus 23 I think that would be the answer
Answer:
Step-by-step explanation:
1.9×10−221.99×10−231.99×10−231.9×10−221.91.99×10−2210−231.991.9×10−2310−22Divide numbers and 10's separately0.954774...×1010.954774...×101Subtract exponents9.54774...9.54774...Convert to standard notation9.59.5
wander 9.5
I need the blank angles answers with the reason of justification please
Answer:
We had this question last week let me check my book real quick.
PLEASE HELP
FAST ;)
Pleaseeeee
The left side of the two-column proof should be filled as follows:
Statements Reasons_______________
k||i Given
m∠4 = m∠5 Alternate Interior Angles Theorem
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent. Also, these angles are generally referred to as alternate interior angles.
Additionally, there are four (4) special angle relationships that are typically formed when two parallel lines are intersected by a transversal and these include the following:
Corresponding angles.Same-side interior angles.Alternate interior angles.Alternate exterior angles.Read more on alternate interior angle here: https://brainly.com/question/16638047
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which measurements are equivalent to 3 yards
The equivalent measures to 3 yards are;
108 inches and ; 6 ft 36 inches
Here, we want to get the values of the measurements that are equivalent to 3 yards
To do this, we need to know how to convert between the various measure types
We proceed as follows;
Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet
So, 3 yards is (3*36) = 108 inches
Also, 3 yards is (3*3) = 9 feet
Also, 1 ft is 12 inches;
So, 6 ft 12 inches is 7 feet
108 inches is as seen above, so 3 yards equal this
3 yards is not 108 feet as calculated above
6 ft 36 inches
36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft
So, the correct answers here are 108 inches and 6 ft 36 inches
Starting from the origin, what movements do you need to plot the ordered pair (2, -3)?
Here, x coordinate is 2 and y coordinate is -3, so we have to first move two units on right thereafter we will move three units downward.(for better understanding please see the attached graph).
A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants.
An ordered pair is used to locate a point in a coordinate plane.
ordered pair(P) = (2,-3).
Hence, x coordinate is 2 and y coordinate is -3. we have to first move two units on right thereafter we will move three units downward.
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At a store, shirts are regularly priced $9.95 each. The store is having a sale in which if a customer buys two shirts, he or she will get the third shirt at half-price. Sales tax is 7%. About how much will a customer spend on three shirts? *
.
.
A. $16
B. $25
C. $27
D. $32
Answer:
C. $27
Step-by-step explanation:
9.95÷2=4.975
9.95+9.95+4.975=24.875 or 24.88
24.88×7%+24.88=26.62
Just the bottom part that’s all :)
To transform is to alter. So, changing any given geometric shape would be considered a geometric transformation.
What does one transformation mean?
A 180° rotation about the origin characterizes the sole transformation. Translation, rotation, reflection, and dilation are the four primary categories of transformation.
The term "Geometric" transformation refers to a group of picture transformations where the geometry of the image is modified without changing the actual pixel values. In general, various actions can be performed on it, but the actual pixel values will not change.
Students get the opportunity to consider fundamental mathematical concepts in novel ways thanks to geometric transformations (e.g., functions whose domain and range are R2). Students can view mathematics as a connected field by using geometric transformations as a framework.
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What is the least common denominator of 1/2x+1=1/4x-6
Answer:
The least common denominator for 1/2 and 1/4 is 4.
1/2 --> 2/4
Step-by-step explanation:
Hope this helps!
Pls brainliest, tysm!
1.
Find the perimeter of the figure below.
7 cm
2 cm
4 cm
2 cm
4 cm
4 cm
Answer:
42 cm
Step-by-step explanation:
7+4+2+4+2+4+7+12
PLEASE HELP ME I NEED HELP
The ordered pairs are (0,-7).
How Can an Ordered Pair Be Found?Any equation's ordered pair can be calculated by substituting any integer or the rational number for one of the variables, then solving for the remaining variable.
Consequently, we obtain values for both variables that meet the stated equation.
Solution:
5x - y = 7
Lets take, x = 0
Then,
5(0) - y = 7
y = -7
Then,
The ordered pair is (0,-7).
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Jacob has 7 marbles. Darren has 17 marbles.
How many more marbles does Darren have
than Jacob?