Using the trend line equation:Y=25X+150Using the trend line equation what is the value of y when x is 15
Answers
Given:
\(y=25x+150\)Substitute x=15 in the above expression, then solve for the value of 'y'.
\(\begin{gathered} y=25\times15+150 \\ y=375+150 \\ y=525 \end{gathered}\)Thus, the value of y is 525 when x=15.
Related Questions
Minka pours cup of milk on her oatmeal each day
for 7 days. Complete the number line. Draw a point
and write the number of cups that Minka pours as a
mixed number.
Answers
The number of cups of milk that Minka pours as a mixed number is found in the attached image.
What is the total number of cups of milk that Minka pours into her oatmeal?The total number of cups of milk that Minka pours into her oatmeal is calculated as follows:
First day = 1/4
Second day = 1/4 + 1/4
Second day = 2/4
Third day = 1/4 + 2/4
Third day = 3/4
Fourth day = 1/4 + 3/4
Fourth day = 4/4 or 1
Fifth day = 5/4 or 1/4 + 1
Fifth day = 1 1/4
Sixth day = 1/4 + 5/4
Sixth day = 1 1/2
Seventh day = 1/4 + 6/4
Seventh day = 7/4 or 1 3/4
Eight day = 1/4 + 7/4
Eight day = 8/4 or 2
The completed number line is found in the attached image
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Please help answer my question
Answers
Answer:
x = 6
Step-by-step explanation:
This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:
(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²
From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.
3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²
3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²
Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:
8x - 20 = 5x - 2
Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.
8x - 20 = 5x - 2
8x - 20 - 5x = 5x - 2 - 5x
3x - 20 = -2
3x - 20 + 20 = -2 + 20
3x = 18
3x/3 = 18/3
x = 6
Hopefully that's helpful! Let me know if you need more help. :)
sharmila recived 81 texts in 9 minutes
Answers
Answer:
Step-by-step explanation:
81 texts in 9 hours
So you do 81 divided by 9
Which givrs you 9 text an hour
Solve the equation: x²-2x=8
Show all the Steps with explanation.
Answers
Answer:
x = 4, -2
Step-by-step explanation:
x^2-2x=8
Move the constant term to the right side of the equation.
x^2 - 2x = 8
Take half of the coefficient of x and square it.
(-2/2)^2 = 1
Add the square to both sides of the equation.
x^2 - 2x + 1 = 8 + 1
Factor the perfect square trinomial.
(x - 1)^2 = 9
Take the square root of both sides of the equation.
x-1=\(\sqrt{9}\)
x-1=±3
Isolate x to find the solutions.
Taking positive
x=3+1=4
x=4
Taking negative
x=-3+1
x=-2
The solutions are:
x = 4, -2
Answer:
\(x = -2,\;\;x=4\)
Step-by-step explanation:
To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:
\(x^2-2x-8=8-8\)
\(x^2-2x-8=0\)
Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.
The two numbers whose product is -8 and sum is -2 are -4 and 2.
Rewrite the coefficient of the middle term as the sum of these two numbers:
\(x^2-4x+2x-8=0\)
Factor the first two terms and the last two terms separately:
\(x(x-4)+2(x-4)=0\)
Factor out the common term (x - 4):
\((x+2)(x-4)=0\)
Apply the zero-product property:
\(x+2=0 \implies x=-2\)
\(x-4=0 \implies x=4\)
Therefore, the solutions to the given quadratic equation are:
\(\boxed{x = -2,\;\;x=4}\)
3.Graph the dilation image of ΔABC,using a scale factor of 1/2 and thecenter of dilation at the origin.
Answers
First, identify the coordinates of the points A, B and C:
\(\begin{gathered} A=(-2,4) \\ B=(4,2) \\ C=(-2,0) \end{gathered}\)The rule for the transformation of a dilation by a scale factor k is:
\((x,y)\rightarrow(kx,ky)\)Apply the dilation by a factor of 1/2 to the points A, B and C to find their images A', B', C':
\(\begin{gathered} A(-2,4)\rightarrow A^{\prime}(\frac{1}{2}\times-2,\frac{1}{2}\times4)=A^{\prime}(-1,2) \\ \\ B(4,2)\rightarrow B^{\prime}(\frac{1}{2}\times4,\frac{1}{2}\times2)=B^{\prime}(2,1) \\ \\ C(-2,0)\rightarrow C^{\prime}(\frac{1}{2}\times-2,\frac{1}{2}\times0)=C^{\prime}(-1,0) \end{gathered}\)Plot the images A'(-1,2), B'(2,1) and C'(-1,0) to graph the dilation image of the triangle ABC with a scale factor of 1/2:
please help me am I. troubles
Answers
Answer:
\( \frac{ {x}^{2} }{y(x - y)} + \frac{ {y}^{2} }{ - x(x - y)} \)
\( \frac{ {x}^{2} }{y(x - y)} - \frac{ {y}^{2} }{x(x - y)} \)
\( \frac{ {x}^{2} \times x - {y}^{2} \times y}{xy(x -y)} \)
\( \frac{(x - y)( {x}^{2} + xy + {y}^{2}) }{xy(x - y)} \)
\( \frac{ {x}^{2} + xy + {y}^{2} }{xy} \)
All pies at the baked goods booth were cut into eighths. When Justina Hartley’s sift in the boot began, there were eight and one forth pies waiting to be sold. At the end of her shift there were only five pieces of apple pie left. How many pieces of apple pie were sold during Justina’s shift?
Answers
Answer: 3 1/4
Step-by-step explanation: you started with 8 1/4 subtract the 1/4 now ur left with 8-3 which equals 5
244-33456/3456*345+13.55-2=
Answers
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.
Choose ALL that apply to classify the decimal.
0.186
Question 3 options:
Rational
Repeating
Irrational
Nonterminating
Terminating
Answers
Answer:
Rational TerminatingStep-by-step explanation:
A Rational number is one that can be expressed as a fraction where the denominator is not zero. The above decimal can be expressed as a fraction in the form : ¹⁸⁶/₁₀₀₀
The decimal is also a terminating decimal which describes a decimal number that has a certain number of digits after the decimal point. In other words, the digits after the decimal point do not go on forever. 0.186 has three digits after the decimal meaning it does not go on forever.
Evaluate the expression for d = 26.
d + 53
Submit
Answers
Answer:
79
Step-by-step explanation:
Provided d = 26
d+53=26+53=79
Hey there!
d + 53
= 26 + 53
= 79
Therefore, your answer is: 79
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Use the formula kilowatt-hour (kWh) = watts x hours used per day / wattage.
To estimate the maximum kilowatt-hour that each appliance uses per day, per month, and per year. write your answers in scientific notation with a single-digit multipler. Assume 30 days per month and 365 days per year.
2. which appliance uses the least amount of energy per day?
3. which appliance uses the most amount of energy per year? Show your work.
Television - Wattage: 300 Hours per day: 6
Clothes dryer - Wattage: 2,790 Hours per day 4
Refrigerator - Wattage: 225 Hours per day: 24
Find the kWh per day, kWh per month, and kWh per year.
Write all of them in scientific notation.
Answers
The clothes dryer uses the maximum energy at 1.018 × 10⁶ kilowatt-hour
Kilowatt-hours are primarily used to sell electrical energy to customers. A device's power consumption in kilowatts, operating time in hours, and price per kilowatt-hour are multiplied to get the cost of running it. Utility companies' charges for power may vary based on the customer's consumption patterns over time. Prices vary widely depending on the location. Prices in the US can differ by a factor of three between states.
A composite energy unit called a kilowatt-hour is defined as one kW sustained for (and multiplied by) one hour. It is equivalent to 3600 kilojoules, or 3.6 MJ, when expressed in the joule (symbol J), the SI's base unit of energy.
So from the given conditions the television uses the least amount of energy per day at 300 kilowatt-hour.
The amount of energy per year:
Television = 300 × 365 = 1.095 × 10⁵ kilowatt-hour
Dryer = 2790 × 365 = 1.018 × 10⁶ kilowatt-hour
Refrigerator = 225 × 365 = 8.213 × 10⁴ kilowatt-hour
Hence the maximum energy is used by the Dryer.
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y = -2(x + 1)²-3
x-ints:
y-int:
Domain:
Range:
Vertex:
Axis of symmetry:
Min or Max:
Transformation:
Mapping Notation:
y-3=-3(x+5)²-1
x-ints:
y-int:
Domain:
Range:
Vertex:
Axis of symmetry:
Min or Max:
Transformation:
Mapping Notation:
Answers
For the first equation, Y = -2(x + 1)²-3:
x-ints: None
y-int: (-3)
Domain: All real numbers
Range: (-∞, -3]
Vertex: (-1, -3)
Axis of symmetry: x = -1
Min or Max: Maximum
Transformation: Reflects the graph of y = 2x² over the y-axis, moves the vertex left by 1 unit and down by 3 units.
Mapping Notation: {(x, y) | y ≤ -3}
For the second equation, y-3=-3(x+5)²-1:
x-ints: None
y-int: 2
Domain: All real numbers
Range: (-∞, 2]
Vertex: (-5, 3)
Axis of symmetry: x = -5
Min or Max: Minimum
Transformation: Reflects the graph of y = 3x² over the y-axis, moves the vertex left by 5 units and up by 3 units.
Mapping Notation: {(x, y) | y ≤ 2}
I really need some heeeeeeeeeeeeeeeeeeeeeeelp 50 points
based on the smallest dragonboy
Answers
are we suppose to make a story or something
Answer:
This question makes 0 sense! how do i even answer?
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
Answers
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
y=9/4×2
sketch the graph of f and f on the same set of axes
Answers
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Help i dont understand pls help :(
Answers
Answer:
B. -2
Step-by-step explanation:
All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.
Pls help with this math problem
Answers
Answer:
y=1/4x+6
Step-by-step explanation:
The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.
49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. Identify which type of sampling is used and why?
A) Convenience
B) Cluster
C) Random
D) Systematic
E) Stratified
Answers
Answer:
Stratified sampling
Step-by-step explanation:
In the question, students are selected from subgroups of Sophomore, Junior, and Senior classes.
We are told that 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.
This means that the sample numbers of 49, 34 and 48 students were selected in proportion to the subgroup sizes of 496, 348, and 481 students respectively.
Thus, due to the fact that subgroups were selected & that sample number of students were also selected in proportion to their respective subgroup sizes, this is therefore a stratified sampling.
what is the value of x?!?
please help!
Answers
Answer:
x = 25
Step-by-step explanation:
The given angles, x° and (6x+5)° form a linear pair. You want the value of x.
Linear pairTwo angles that together form a straight line are called a linear pair. A linear pair of angles has a total measure of 180°.
x° +(6x +5)° = 180°
7x +5 = 180 . . . . . . . . . divide by °, collect terms
7x = 175 . . . . . . . . . . subtract 5
x = 25 . . . . . . . . . . divide by 7
The value of x is 25.
The two triangles shown are similar. Which of the following is an acceptable similarity statement for the triangles?
Question 8 options:
A)
ΔQSR ∼ ΔVUT
B)
ΔSRQ ∼ ΔVUT
C)
ΔRQS ∼ ΔVUT
D)
ΔSQR ∼ ΔVUT
Answers
Answer:
B
Step-by-step explanation:
they are two 90° .so B is correct I think
Answer:
B)
ΔSRQ ∼ ΔVUT
Step-by-step explanation:
The angles in the order SQR match VUT
Please mark me brainliest if this helped. :)
A photo 5 inches wide and 8 inches long is enlarged.
How long is the new photo if it is (1)10 inches; (2)15 inches; (3)8 inches wide?
The new photo is_long if it is 10 in wide.
The new photo is_long if it is 15 in wide.
The new photo is_long if it is 8 in wide.
Answers
Answer:
1.16 in
2.24 in
3.12.8 in
Step-by-step explanation:
We are given that
Width of photo=5 in
Length of photo=8 in
We have to find the length of new photo in each case.
1. Let x represent the width and y represents the length of photo.
When width increase then length of photo is also increases then it is direct proportion.
Substitute the values then we get
Hence, the length of photo=16 in
2.Width=x=15 in
Again using the formula
Hence, the length of new photo=24 in
3. Width =x=8 in
Substitute the values in the given formula
Hence, the length of new photo=12.8 in
Answer:
1.16 in
2.24 in
3.12.8 in
Step-by-step explanation:
We are given that
Width of photo=5 in
Length of photo=8 in
We have to find the length of new photo in each case.
1. Let x represent the width and y represents the length of photo.
When width increase then length of photo is also increases then it is direct proportion.
Substitute the values then we get
Hence, the length of photo=16 in
2. Width= x=15 in
Again using the formula
Hence, the length of new photo=24 in
3. Width = x=8 in
Substitute the values in the given formula
Hence, the length of new photo= 12.8 in
Marsha wants to determine the vertex of the quadratic function f(x) = x^2 – x + 2. What is the function’s vertex?
(one-half, seven-quarters)
(one-half, three-halves)
(1, 1)
(1, 3)
Answers
Hi there!
\(\large\boxed{\text{ Vertex at (\frac{1}{2}, \frac{7}{4})}}\)\(\large\boxed{\text{ Vertex at }(\frac{1}{2}, \frac{7}{4})}}\)
We can use "Completing the Square" to solve:
f(x) = x² - x + 2
Group the variables. The "x" term's coefficient will be divided by two and squared for the third part of the trinomial. Remember to subtract by the third term:
f(x) = x² - x + (1/2)² + 2 - (1/2)²
Group:
f(x) = (x - 1/2)² + 2 - 1/4
Rewrite:
f(x) = (x - 1/2)² - 7/4
Thus, the first answer is correct.
Answer: The correct answer is the first option
Hope this helped ;)
HELPPPPPPPPPPPPPPPP!!!!!!!!!!
Answers
Answer:
. 143
Step-by-step explanation:
Because 8 is greater than 5 so we can say that when we round .1428 to nearest thousandth it will be closer to .143
Suppose the local Barons team wins every game they play with a probability of 0.75. What is the probability that the Barons would win a best-of-seven-game series (i.e., they play games until one team has won four game)?
Answers
Answer:
The probability is 0.173
Step-by-step explanation:
The probability is of winning is 0.75 = 75/100 = 3/4
This means that the probability of losing is 0.25 = 25/100 = 1/4
So if they are two win 4 games, they will lose three
We can get this probability using the Bernoulli approximation of the binomial theorem
So here, we have
P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3
= 0.173034667969
which is approximately 0.1730
Pls show work thank you!!!
Answers
\(|-16-x|=0\\\\\implies -16-x = 0\\\\\implies x = -16\)
Write down the integer values that satisfy the inequality -5<_x<3
Answers
Answer:
(-4,-3,-2,-1,0,1,2)
Step-by-step explanation:
..........i hope it is............
If 20 ounces of ointment costs $7, how much would 17 ounces cost?
use a proportion to solve
Answers
.35/ ounce
17 ounces= $5.95
Tell whether the ratios are equivalent: 3 miles to 4 minutes and 9 miles to 12 miles. Show your work.
Answers
Answer:
they are
Step-by-step explanation:
divide 12*4=3
9*3=3
same ratio
Solve for x: 3-a/x-a=1/a
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answers
Answer:
x= -a2(the 2 means squared)/1-3a+a2
Step-by-step explanation:
I rll hope this helps
Answer:
x= a^2
----------------
1 - 3a + a^2
Step-by-step explanation:
It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data. 8.6, 8.3, 7.6, 6, 7.1, 5.6, 5.1, 6 Compute a 98% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 98 % confidence that the true mean time a student sleeps per night is between and hours. (round to 3 decimal places)
Answers
We have 98 % confidence that the true mean time a student sleeps per night is between 6.2928 hours and 7.1832 hours.
Mean = (8.6 + 8.3 + 7.6 + 6 + 7.1 + 5.6 + 5.1 + 6)/ 8 = 6.7875
Standard deviation = √Σ(x - mean)²/n
Σ(x - mean)² = (8.6 - 6.7875)^2 + (8.3 - 6.7875)^2 + (7.6 - 6.7875)^2 + (6 - 6.7875)^2 + (7.1 - 6.7875)^2 + (5.6 - 6.7875)^2 + (5.1 - 6.7875)^2 + (6 - 6.7875)^2
Standard deviation : \(\sqrt{11.82875}/8\)
s = 0.42991
Confidence interval is written in the form,
(Sample mean - margin of error, sample mean + margin of error)
The sample mean, x is the point estimate for the population mean.
Margin of error = z × s/√n
Where
sample standard deviation
number of samples
From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score
In order to use the t distribution, we would determine the degree of freedom, df for the sample.
df = n - 1 = 8 - 1 = 7
Since confidence level = 98% = 0.98, α = 1 - CL = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01
the area to the right of z0.01 is 0.01 and the area to the left of z0.01 is 1 - 0.01 = 0.99
Looking at the t distribution table,
z = 2.998
Margin of error = 2.998 × 0.42/√8
= 0.4452
The lower limit of this confidence interval is
6.738 - 0.4452 = 6.2928
The upper limit of this confidence interval is
6.738 + 0.4452 = 7.1832
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