Hello,
I hope you and your family are doing well!
The answer is y = 5 (See below for the explanation).
To find a linear equation representing a line passing through two points, you can use the slope-intercept form of the equation, which is written as y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).
To find the slope of the line, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two given points, we get:
m = (5 - 5) / (-8 - 3) = 0 / -11 = 0
Since the slope of the line is 0, the line is horizontal and passes through both points at the same y-value (5). The x-intercept (the point at which the line crosses the x-axis) is not relevant in this case.
Therefore, the linear equation representing this line is y = 5.
Happy Holiday & New Year!
Please give this answer 5 stars and brainliest if you find it helpful.
Best,
Answer:
y=5
Step-by-step explanation:
y=mx+b
if you put your two point on a graft, they are on same line for the y-intersept. So if that is true then your answer has to y=5
At the beginning of each quarter, rupees 2000 is deposited in the savings account which pays an interest of 10% p.a compounded quarterly. Find the balance in the account after 5 years.
In the fall of 1996, tuition and registration fees for undergraduates at the University of California, Davis was $1411. In the fall of 2018, tuition and fees
were $14,402. Find the percent increase. Round your answer to the nearest tenth percent
% increase
To find the percent increase, we need to calculate the difference between the new tuition and fees and the old tuition and fees, and then divide this difference by the old tuition and fees and multiply by 100%.
The difference between the new tuition and fees of $14,402 and the old tuition and fees of $1411 is $14,402 - $1411 = $12,991.
The percent increase is: ($12,991/$1411) * 100% = 9.2 * 100% = 920%
Therefore, the percent increase in tuition and fees between the fall of 1996 and the fall of 2018 was 920%, rounded to the nearest tenth percent.
This is the question in the picture
The inequality for the value of y can be given as -1/8 < -2/3y, where y < 3/16.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Let the required number is y.
To find the inequality that represents the -1/8 is less than the product of -2/3 and number y.
The product of -2/3 and y = -2/3y
The inequality for the y can be written as,
-1/8 < -2/3y
Solve for the value of y,
1/8 > 2/3 y
3/16 > y
Or y < 3 / 16
The required inequality is -1/8 < -2/3y, where y < 3/16.
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What is the area of triangle UVW?
Answer:
30 units²
Step-by-step explanation:
Triangle Area = 1/2bxh
Base (b) = 12 units
Height (h) = 5 units
let's apply the formula1/2 × 12 × 5 =
6 × 5 =
30 units²
For each of the following equations, solve for the variable. If there are multiple solutions, separate them by a comma.
Answers should be integers, fractions, radicals, or in exponential form. No decimals!
1/7㏒ (x-1) + 3㏒ (2)
x=______
3㏑(ω+6) = 5㏑ (6)
ω=____
The solutions to the x and w variables are x = 2097153 and w = (6)⁻²/⁵
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
1/7log(x - 1) = 3log(2)
3 ln(w + 6) = 5 ln(6)
Solving the equation (1), we have the following equation
1/7log(x - 1) = 3log(2)
Multiply both sides of the equation by 7
So, we have the following representation
log(x - 1) = 21log(2)
Apply the power rule of logarithm
log(x - 1) = log(2)²¹
By comparison, we have
x - 1 = (2)²¹
Evaluate the exponent
x - 1 = 2097152
So, we have
x = 2097153
Solving the equation (2), we have the following equation
3 ln(w + 6) = 5 ln(6)
Multiply both sides of the equation by 1/3
So, we have the following representation
ln(w + 6) = 5/3 ln(6)
Apply the power rule of logarithm
ln(w + 6) = ln(6)³/⁵
By comparison, we have
w + 6 = (6)³/⁵
So, we have
w = (6)⁻²/⁵
Hence, the solutions are x = 2097153 and w = (6)⁻²/⁵
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At the end of a snowstorm, Gabriella had 11 inches of snow on her lawn. The
temperature then increased and the snow began to melt at a constant rate of 0.5
inches per hour. Assuming no more snow was falling, how much snow would
Gabriella have on her lawn 3 hours after the snow began to melt? How much snow
would Gabriella have on her lawn after t hours of snow melting?
The snow melted in 3 hours would be 1.5 inches, and the expression which represents the amount of snow left after 't' hours of snow melting S(t) = 12.5 - 0.5t
What is a constant rate of change?
A rate of change is a rate that describes how one quantity changes in relation to another quantity.
Constant rate is also called uniform rate which involves something traveling at a fixed and steady pace or else moving at some average speed.
The snow started melting at a rate of 0.5 inches per hour and it is known that 3 hours after the storm ended, the depth of snow was down to 11 inches.
Snow melted in 3 hours = 0.5 * 3 = 1.5 inches
Thus;
The Initial depth of snow = 11 + 1.5 inches = 12.5 inches.
Now, depth of snow on Gabriella's lawn = Initial depth - 0.5(Number of hours)
Let S(t) be the depth of snow on Gabriella's lawn, in inches, t hours after the snow stopped falling.
Hence, the snow melted in 3 hours would be 1.5 inches, and the expression which represents the amount of snow left after 't' hours of snow melting S(t) = 12.5 - 0.5t
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the equation of the normal to the 2x² + 2y² -4x +4y =12 at the point (-1,1) is
To find the equation of the normal to the given curve at the point (-1,1), you can use the following steps:
Rewrite the given equation in the form "y = mx + b," where m is the slope of the curve and b is the y-intercept.
Find the slope of the curve at the point (-1,1). This can be done by taking the derivative of the equation and evaluating it at x = -1.
The slope of the normal line at the point (-1,1) is the negative reciprocal of the slope of the curve at that point. Calculate this value.
Use the point-slope formula to write the equation of the normal line in the form "y - y1 = m(x - x1)," where (x1, y1) is the point (-1,1) and m is the slope of the normal line.
Substitute the values for x1, y1, and m into the point-slope formula to obtain the final equation of the normal line.
For example, if the given equation is 2x^2 + 2y^2 - 4x + 4y = 12, you can follow these steps:
Rewriting the equation in slope-intercept form, we get: y = -x + 2
Taking the derivative of the equation, we get: y' = -1
The slope of the normal line is the negative reciprocal of the slope of the curve, which is 1/-1 = -1
Using the point-slope formula, we get: y - 1 = -1(x + 1)
Substituting the values into the point-slope formula, we get: y - 1 = -1x - 1
Thus, the equation of the normal line at the point (-1,1) is y - 1 = -1x - 1.
Fill in the blanks below in order to justify whether or not the mapping shown represents a function.
The mapping diagram above a function since
in where there
The mapping diagram above is a function since there are no two values in set B where there is only one mapping from Set A.
What is a function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
In the example provided, each element in Set A is mapped to one specific element in Set B.
Set A stands for the domain, whereas Set B stands for the range. There would be exactly one value in the range for each value in the domain as a result.
Hence, the mapping diagram above is a function since there are no two values in set B where there is only one mapping from Set A.
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What is the value of x in the equation 2/3 (1/2×+ 12) = 1/2(1/3x +14) - 32
Answer:
Step-by-step explanation:
x = 174
For the figure below, suppose
∠3 = 30°
and
∠7 = 97°.
Find the measures (in degrees) of the other angles.
∠1 =
°
∠2 =
°
∠4 =
°
∠5 =
°
∠6 =
°
∠8 =
°
[tex]\angle 1=150^{\circ}[/tex] (linear pair)
[tex]\angle 2=30^{\circ}[/tex] (vertical angles)
[tex]\angle 4=150^{\circ}[/tex] (linear pair)
[tex]\angle 5=83^{\circ}[/tex] (linear pair)
[tex]\angle 6=97^{\circ}[/tex] (vertical angles)
[tex]\angle 8=83^{\circ}[/tex] (linear pair)
In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1
Answer:
Yes it is
Step-by-step explanation:
Complete the inequality for this graph.
y < [?]
Answer: y < 2
Step-by-step explanation:
During a sale, a store offered a 25% discount on a bed that originally sold for $890. After the sale, the discounted price of the bed was marked up by 25%. To the nearest whole number, what percent of the original price was the price after markup?
The percent of the original price was the price after markup will be 6.29%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
During a deal, a store offered a 25% rebate on a bed that initially sold for $890. After the deal, the limited cost of the bed was increased by 25%.
The marked-up price is given as,
⇒ $890 x (1 - 0.25) x (1 + 1.25)
⇒ $890 x 0.75 x 1.25
⇒ $834
The percentage is given as,
P = [(890 - 834) / 890] x 100
P = (56 / 890) x 100
P = 0.0629 x 100
P = 6.29%
The percent of the original price was the price after markup will be 6.29%.
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Answer: 94%
Step-by-step explanation:
Find what percent of the original price this represents:
$834.375 / $890 = 0.9375
0.9375 × 100 = 93.75%
93.75% ≈ 94%
Round to the nearest whole number
The price after markup was 94% of the original price.
please help proportional relationship easy needed now !!
The equations representing the proportional relationships between two variables:
k = 5 · hk = (5 / 4) · hk = (1 / 5) · hWhat are the equations of proportional relationship for each table of values?
In this problem we find three cases of tables showing proportional relationships between two variables. Proportional relationships are represented by equations of the form:
y = k · x
Where:
x - Independent variable.y - Dependent variable.k - Proportionality factor.Each table represents a proportional relationship if and only if each pair of variables has one and same proportionality factor. After a quick inspection, we find the following features:
The first table has a proportionality factor of 5. The equation is k = 5 · h.The second table has a proportionality factor of 5 / 4. The equation of k = (5 / 4) · h.The third table has a proportionality factor of 1 / 5. The equation of k = (1 / 5) · h.To learn more on proportional relationships: https://brainly.com/question/12917806
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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
Answer:
False
A sphere is 3 dimensional.
[tex]\sqrt{2x-6 =x-3\\[/tex]
The value of x in the quadratic equation using mathematical operations is 4±√19
What are Quadratic EquationsTo solve this problem, we have to use some mathematical operations to find the value of x.
In this process, we have to remove the square root and solve for x. This will eventually result to a quadratic equation
In the equation given;
√(2x - 6) = x - 3
Square both sides
(√(2x - 6)² = (x - 3)²
This will eliminate the square root
2x - 6 = (x - 3)²
Open the bracket on the right hand side
2x - 6 = x² - 6x - 9
Collect like terms
x² - 6x - 9 - 2x + 6 = 0
x² - 8x - 3 = 0
Solving for x
x = 4±√19
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helppp me please. i did my points but I need help on the rest
By using linear equation, it can be calculated that
New Solution #1 : (-6, 1) is a solution because when you plug it into the original equation x + 3y = -3, the equation simplifies to -3 = -3
New Solution #2: (-9, 2) is a solution because when you plug it into the original equation x + 3y = -3, the equation simplifies to -3 = -3
What is linear equation?
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Equation of line : x + 3y = -3
Putting y = 1
x + 3 [tex]\times[/tex] 1 = -3
x = -3 - 3
x = -6
Putting y = 2
x + 3 [tex]\times[/tex] 2 = -3
x + 6 = -3
x = -3 - 6
x = -9
New solutions (-6, 1) and (-9, 2)
New Solution #1 : (-6, 1) is a solution because when you plug it into the original equation x + 3y = -3, the equation simplifies to -3 = -3
New Solution #2: (-9, 2) is a solution because when you plug it into the original equation x + 3y = -3, the equation simplifies to -3 = -3
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A local company offers you an opportunity to sell discount cards. You will have to pay the company a one-time setup fee of $320. Each card will cost you $6. How many cards would you have to sell before your average total cost per card falls to $10?
Answer:
80 cards would have to sold before your average total cost per card falls to $10
Step-by-step explanation:
To find the number of cards you would have to sell to bring the average total cost per card down to $10, you can use the following formula:
number of cards = setup fee / (average total cost per card - cost per card)
Plugging in the values given in the problem, we get:
number of cards = $320 / ($10 - $6)
Solving this equation gives us:
number of cards = $320 / $4
Dividing 320 by 4 gives us a result of 80, so you would have to sell 80 cards before your average total cost per card falls to $10
Another approach is setting it up as y = mx+b
$10 = (320 + 6x) / x
Where x is the number of cards that you need to sell.
Solving for x, we get:
$10x = 320 + 6x
4x = 320
x = 80
Find the root of the polynomial by factoring
(if you can give steps that’d be great)
Step-by-step explanation:
[tex]x + \frac{75}{4} (x) = 0[/tex]
[tex] \frac{79x}{4} = 0[/tex]
[tex]x = 0[/tex]
1. What is the decay factor?
From 2000 to 2013, the value of the U.S. dollar was shrinking. The value of the U.S. dollar
over time v(t) can be modeled by the following formula:
1.36(0.9758)', where t is the number of years since 2000.
0.9758 is the decay factor of the model
How to determine the decay factor?Given that:
The value of the U.S. dollar over time v(t) can be modeled by the following formula:
v(t) = 1.36(0.9758)^t , where t is the number of years since 2000
The form of the exponential decay models is f(t) = ab^t
where,
a is the initial value, b is the decay factor and t is the time
Comparing f(t) = ab^t with v(t) = 1.36(0.9758)^t :
a = 1.36
b = 0.9758
Therefore, the decay factor is 0.9758
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50 POINTS
Question 5
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.
Determine P(2 tails).
12.5%
37.5%
50%
75%
Question 6
Which table shows the sample space for spinning the spinner twice?
spinner with 3 equal sections colored yellow, blue, and red
Blue Yellow Red
Red Red Red Red
Blue Blue Blue Blue
Yellow Yellow Yellow Yellow
Blue Yellow Red
Blue Blue, Blue Blue, Yellow Blue, Red
Blue Blue, Blue Blue, Yellow Blue, Red
Red Blue Yellow
Red Red, Red Blue, Red Yellow, Red
Blue Red, Blue Red, Yellow Blue, Yellow
Yellow Yellow, Red Yellow, Blue Yellow, Blue
Red Blue Yellow
Red Red, Red Blue, Red Yellow, Red
Blue Red, Blue Blue, Blue Yellow, Blue
Yellow Red, Yellow Blue, Yellow Yellow, Yellow
Question 7
A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(D, D) if two cards are randomly selected with replacement.
one third
two thirds
two sixths
four ninths
3.
The angles of a triangle are 120°, (x + 16)°, and x°.
What is the value of x?
Pls explain how you get the answer
The triangle has a value of x=22°.
What is a triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles.
Having three sides, a triangle is a form. Each kind of triangle has a unique name. The size of the angles and side lengths determine what kind of triangle it is (corners). Triangles can be classified as equilateral, isosceles, or scalene depending on how long their sides are.
The sum of all the angles in a triangle must be °
120° + (x+16)° + x° = 180°
2x + 136° = 180°
2x = 180° - 136°
2x° = 44°
x = 22°
The triangle has a value of x=22°.
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48.49 ÷ 0.4
Round your answer to the nearest hundredth.
Answer:
121.23
Step-by-step explanation:
48.49/0.4 = 121.225
121.225 rounding into nearest hundredth = 121.23
✓
The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rater.
P = $6000.00, A = $6180.00, t = 1 year
% (Round to the nearest tenth of a percent as needed.)
1/3 + 2/3
Please help! This is due tomorrow and I need it now
Answer: 1
Step-by-step explanation:
Answer:
1 or 3/3
Step-by-step explanation:
There is a common denominator (bottom number) so you add straight across.
1+2=3 so it is 3/3, which is a whole, making it 1.
Rewrite 1 1/5 using fifths
1 1/5 - 1/3
= __ /__ - 1/3
The value of mixed fraction 1(1/5) using fifths is 6/5.
How may a number be written as a mixed number?
Divide the numerator by the denominator in step 1.The quotient should be expressed as a whole number in step 2. Input the numerator and denominator as the remainder and the divisor, respectively in step 3.As an illustration, we convert 7/3 into a mixed fraction form by using the instructions provided.
[tex]1\frac{1}{5}[/tex] = [(5 * 1) + 1]/5
= (5 + 1) / 5
= 6/5
Hence, The value of mixed fraction 1(1/5) using fifths is 6/5.
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a bag contains 56 marbles, some green and some red. The ratio of green marbles to red ones is 3:4. How many green marbles are there?
15 green marbles are there among 56 marbles.
A bag contains 56 marbles, so Total marbles =56.
In That, There are Green and red marbles contained in a ratio of 3:4.
Now we have to assume that
Let 3x = the number of green marbles and 4x = the number of red marbles
By using the ratios and the total we can know how many green and red marbles are there in a bag. so the formula is:
ax+bx=t-------(1)
a and b are ratios of given marbles
t is the total number of marbles
x is to find the value
substituting the values in the above equation we get
3x + 4x =35
7x = 35
x = 5
substitute the x value in 3x we get:
Green: 3x = 15
Therefore,15 green marbles are present among 56 marbles
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If a polynomial f(x) has a remainder of 4 when divided by x-5, what is f(5)?
The remainder of 4 when f(x) is divided by x - 5 means that f(5) = 4
How to determine the remainder of the quotientFrom the question, we have the following parameters that can be used in our computation:
The function is given as
Polynomial = f(x)
Remainder = 4
The function is represented as
z(x)
This means that
x = 5 in f(x)
So, we add -5 to both sides of the equation
This gives
x - 5 = 0
Also, we have
A remainder of 4 when divided by x-5
So, when the equation in interpreted, it means
The remainder when f(x) is divided by x - 5 is 4
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Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 95% confidence. Assume that s = 13 based on earlier studies.
The sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 95% confidence. Assume that s = 13 based on earlier studies is 40.58.
How to find the sample size?Making use of the given data to determine the sample size.
Sample size (n) =?
The confidence level = 95% or 0.95
Z-score for 95% confidence interval =1.960
Using this formula
Margin of error = Zα/2 × α/√n
Solving for n
4 = 1.960 × 13/√n
√n = 6.37
n = 40.58
Therefore the sample size is 40.58.
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4
If figure ABCD is congruent to MNOP, what
is the length of PM?
6
A
F
H
D 7 C
6789
10
10
8
8
P
N
M
The length of the PM is 6 if ABCD is congruent to MNOP.
What do you mean by congruent?When it comes to geometry, two figures or objects are said to be congruent if they are the same size and shape, or if one is the mirror image of the other.
More specifically, two sets of points are said to be congruent if—and only if—they can be changed into one another by an isometry, which is a combination of rigid motions including translation, rotation, and reflection. This indicates that either object may be exactly aligned with the other object by moving and reflecting it, but not by resizing it. If we can cut out and then perfectly match up two separate plane figures on a piece of paper, they are then congruent. I'm allowed to turn the paper over.
Here both the given figures are congruent figures. So, their shape and size must be equal.
Therefore from the two figures, PM=DA
So, PM=6
Therefore, the length of the PM is 6 if ABCD is congruent to MNOP.
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