Answer: x=5
Step-by-step explanation:
4x-3=17 Add three to both sides
4x=20 Divide both side by 4 to isolate x
x=5
Tanya had solar panels installed on her house. The graph
below shows the change in temperature of the solar panels
over time.
Temperature (°F)
160
140
120
100
80
60
40
20
0
Solar Panel
Temperature
10 20 30 40 50 60
Time (seconds)
What is the rate of change in the temperature, in degrees
Fahrenheit per second, during the first 45 seconds?
POSSIBLE POINTS: 2
✪
M
10
ED
C
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The rate of change in the temperature during the first 45 seconds is
3.67 degrees Fahrenheit per second
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The following coordinates from the graph as,
(15, 80) and (45, 130)
15 and 45 are the seconds.
80 and 130 are the temperatures.
Now,
The rate of change in the temperature during the first 45 seconds.
= (130 - 80) / (45 - 15)
= 50/30
= 5/3
= 3.67 degrees Fahrenheit per second
Thus,
The rate of change in the temperature during the first 45 seconds is
3.67 degrees Fahrenheit per second
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ1
Write the domain as an inequality. Write the range as an inequality
The Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.
What are the Domain and Range?
Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph represents the possible output values or range.
Domain:
The x-value at the farthest left point is at x = −2. Now continue tracing the graph until you get to the point that is the farthest to the right. The x-value at this point is at ∞. There are no breaks in the graph going from left to right which means it’s continuous from -2 to ∞.
Domain: [-2, ∞][−2, ∞] also written as −2 ≤ x ≤ ∞
Range:
Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y=0. Now, look at how far up the graph goes or the top of the graph. This is when x = ∞, but now we’re finding the range so we need to look at the yy-value of this point which is at y = 0. There are no breaks in the graph going from down to up which means it’s continuous.
Range: [0, ∞][0, ∞] also written as 0 ≤ y ≤ ∞.
Hence, the Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.
To learn more about the Domain and Range visit,
https://brainly.com/question/1942755
#SPJ4
When subtracting two numbers, you add the (_______) of the number being subtracted
Answer:
When subtracting two numbers you add the (additive inverse) of the number being subtracted.
Step-by-step explanation:
That's one of the rules of subtracting integers.
Which of the following sets of numbers could represent the three sides of a triangle? \{13,20,35\}{13,20,35} \{11,24,35\}{11,24,35} \{11,24,32\}{11,24,32} \{10,20,31\}{10,20,31}
The correct sets of numbers which represent the three sides of a triangle will be;
⇒ { 11, 24, 32 }
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The sides of a triangle are shown.
Now,
We know that;
The sum of two sides of triangle is greater than the third side.
Hence, We get;
First option;
⇒ [ 13, 20, 35 ]
Cleary, 13 + 20 = 33 < 35
Thus, It is not possible.
Second option;
⇒ [ 11, 24, 35 ]
Cleary, 11 + 24 = 35 = 35
Thus, It is not possible.
Third option;
⇒ [ 11, 24, 32 ]
Cleary, 11 + 24 = 35 > 32
Thus, It is possible.
Therefore, The correct sets of numbers which represent the three sides of a triangle will be;
⇒ { 11, 24, 32 }
Learn more about the triangle visit:
https://brainly.com/question/13569154
#SPJ1
HELP PLEASE
Krystal bought 9 pounds of ground beef. She saved $8.37 by using a coupon. How much did she save per pound of ground beef?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
9 pounds = $8.37
1 pound = $0.98
The amount saved per pound is $0.98
What is a unit rate?Unit rate is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Krystal bought 9 pounds of ground beef. She saved $8.37 by using a coupon.
This means,
9 pounds = $8.37
Divide both sides by 9.
1 pounds = 8.37/9
1 pounds = $0.93
Thus,
The amount saved per pound is $0.98
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ1
Find the equation for the line that passes through the point (−1,4), and that is parallel to the line with the equation y−5=34(x−2)
In point-slope form, the equation of the parallel line to y − 5 = 3/4(x − 2) is: y - 4 = 3/4(x + 1).
What is the Equation of Parallel Lines?If two lines are parallel their equation, written in point-slope form y - b = m(x - a), will have the same value of m, which is the same slope.
The slope of the line with the equation y - 5 = 3/4(x - 2), is 3/4. This means that the line that passes through the point (−1, 4), and that is parallel to the line with the equation y − 5 = 3/4(x − 2), will have the same slope, m = 3/4.
To write the equation of the line that is parallel to y - 5 = 3/4(x - 2), in point-slope form, substitute m = 3/4 and (a, b) = (-1, 4) into y - b = m(x - a):
y - 4 = 3/4(x - (-1))
y - 4 = 3/4(x + 1)
The equation of the line that is parallel to y − 5 = 3/4(x − 2) is therefore expressed in point-slope form as: y - 4 = 3/4(x + 1).
Learn more about the equation of parallel lines on:
https://brainly.com/question/11345748
#SPJ1
5. Principal: $850
Compound Interest Rate: 5%
Time: 8 years
Answer:
34000
Step-by-step explanation:
you would do 8x5 witch is 40 o now 40x850 is 34000
question A Sailor is making a ship in a bottle. The last thing he needs to do is seal the bottle with a cork stopper. He tries a 3/4 inch cork stopper, but it is too small. Should he try a 1/2 cork stopper or a 4/5 inch cork stopper next? Explain
Proportionately, since a 3/4 inch cork stopper is too small for sealing the bottle, the Sailor should next try a 4/5 inch cork stopper, and not a 1/2 inch cork stopper.
What is the proportion?Proportion refers to the ratio or relative value between two values.
Proportions are fractional values.
And like ratios, proportions can be expressed as fractions, decimals, or percentages.
What are the relative sizes of these cork stoppers?To determine the relative sizes of these cork stoppers, we can express them in percentages or decimals and other fractions.
3/4 equals 75%, 7.5/10, 75/100, or 0.75.
1/2 equals 50%, 5/10, 50/100, or 0.50.
4/5 equals 80%, 8/10, or 80/100, or 0.80
Thus, with the proportionate sizes of these cork stoppers, the Sailor should try using the biggest plug, which ultimately has size 4/5.
Learn more about proportions at https://brainly.com/question/1496357
#SPJ1
Type the integer that makes the following subtraction sentence true:
- -188 = -559
Submit
Answer: -787
188 is positive, negative and negative equals positive
559 is negative
the answer needs to be negative as 559 is negative so you add 559 and 188 and get 787 and add a negative sign so it's more "negative" than 188. (hard to explain in writing)
-787--188=-559
-787+188=-559
-559=-559
Sample Response: The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions. The following are reasons why 3 and −3 are additive inverses. Check all of the conditions you included in your response.
When two numbers added together result in 0, this is known as additive inverse. Using this notion, points on a number line are used to depict additive inverse.
Explain the term additive inverse?To get a result equal to 0, add the original number and the additive inverse by simply switching the sign of the integer. On the basis of negation of a original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.The dotted points with the numbers 3 and -3 are the places on the number line.
To determine whether the points show an additive inverse:
Points 1 and 2 add up to 0.
3 + (-3) = (3 - 3) = 0
When two numbers added together result in 0, this is known as additive inverse.
Using this notion, points on a number line are used to depict additive inverse.
Thus, the points therefore display additive inverse.
To know more about the additive inverse, here
https://brainly.com/question/1548537
#SPJ4
Write a variable expression for a number w decreased by 7
Answer:
Let the number be x. "Seven less than a number" means that we need to subtract 7 from unknown number and result would be 34. . Then, x−7=34Add 7 on both sides of the equationx−7+7=34+7x=41.
Step-by-step explanation:
Find the inverse of this question
Given: Line segment AC and line segment BD intersect at O.
Prove: ZAOB ZCOD
Since line segment AC and line segment BD intersect at O, ZAOB is supplementary to ZBOC and ZBOC is supplementary to
ZCOD by the linear pair theorem.
Which statement and reason best completes the proof?
ZCOD.
ZCOD.
By the congruent supplements theorem, ZAOB
By the substitution property of equality, ZAOB
By the congruent complements theorem, ZAOBZCOD.
By the subtraction property of equality, ZAOB ZCOD.
By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Given: Line segment AC and line segment BD intersect at O.
Prove: ∠AOB ≅ ∠COD
By the supplementary angles property, the equations are given as,
∠AOB + ∠BOC = 180° .....1
∠BOC + ∠COD = 180° ....2
By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
Answer: By the congruent complements theorem
Step-by-step explanation: I took the test
Mary takes out a loan for $6,000 at a simple interest rate of 12% to be paid back in 36 monthly installments. What is the amount of her monthly payments?
The monthly payment would be an amount of $226.67.
What exactly is a monthly payment?A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.
Mary takes out a loan for $6,000 at a simple interest rate of 12% to be paid back in 36 monthly installments.
The total payback = P× r/100 × T + P
Here P = $6,000 , r = 12, and T = 3 years
The total payback = 6,000 × 12/100 × 3 + 6,000
The total payback = 6,000 × 0.12 × 3 + 6,000
The total payback = $8,160
The total payback of the borrowings will be $8,160 over a three-year period. The monthly payment for this will be,
The monthly payment = Total payback / No. of payment
The monthly payment = 8,160/36
The monthly payment = $226.67
Therefore, the monthly payment would be an amount of $226.67.
Learn more about the monthly payments here:
https://brainly.com/question/20761642
#SPJ1
Consider the following expression: 3y+4+7x
Answer:3,4
Step-by-step explanation:
A radioactive compound with mass 430 grams decays at a rate of 28% per hour. Which equation represents how many grams of the compound will remain after 5 hours?
The equation that will represent how many grams of the compound that will remain is C = 430(1-0.28)^5
What is exponential decay?A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.The following formula can be used to calculate exponential decay:
C=a(1-r)^twhena = 430 grams
r = 28% = 0.28t = 5 hours
By substituting the values into the formula
C = 430(1-0.28)^5C = 83.20grams
Thus, after 5 hours the radioactive compound with mass 430 grams becomes 83.20 grams and the equation will be
C = 430(1-0.28)^5
Learn more about exponential decay in: https://brainly.com/question/27822382
#SPJ1
Prompt
Please number your responses to the questions as they are shown (1, 2a, and 2b).
A student in your class says the following.
"I'm having a hard time with this lesson, because the rules for rational exponents are so different than the rules for integer exponents."
1. Write a response to your classmate's comment. State whether you agree or disagree with the comment and why.
2. a. Choose one of the rules for rational exponents. Explain it to your classmate using complete sentences.
b. Create a problem and use it to show your classmate how your strategy works. Use complete sentences in your explanation.
A great place to start would be to look at one of the rules (maybe product or quotient) for rational exponents and for integer exponents and compare them. Explain the differences between the rules.
Answer:
Step-by-step explanation:
i ag
Which pair of sides is perpendicular
Answer:
Step-by-step explanation:
d is the answer
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
In a town where 1/4 of the days are sunny and 3/4 are cloudy, the next six days are all sunny.
The probability of the combined event that the next six days are all sunny is 1/4096
How to determine the probability all days being sunny?From the question, we have the following parameters that can be used in our computation:
Probability that it is sunny = 1/4
Probability that it is cloudy = 3/4
Number of days = 6
The probability for all six days, it is sunny is represented as
Probability = Probability that it is sunny^Number of days
Substitute the known values in the above equation, so, we have the following representation
Probability = (1/4)⁶
Express as decimal
Probability = (0.25)⁶
Evaluate the exponent
Probability = 1/4096
Hence, the probability is 1/4096
Read more about probability at
https://brainly.com/question/251701
#SPJ1
What is the mean absolute deviation of these numbers 76, 70, 66, 80, 72, 67, 78, 69
The mean absolute deviation of the given values would be = 4.3125
What is mean absolute deviation?The mean absolute deviation in statistics is defined as the average distance between each data point and the mean and this gives us an idea about the variability in the dataset.
To calculate the mean absolute deviation the following is carried out:
Calculate the mean of the given data:76, 70, 66, 80, 72, 67, 78, 69 = 578/ 8 = 72.25
Calculate the distance between each data point and the mean.76-72.25 = 3.75
70-72.25 = 2.25
66-72.25 = 6.25
80-72.25 = 7.75
72-72.25 = 0.25
67-72.25 = 5.25
78-72.25 = 5.75
69-72.25 = 3.25
The distance should be added together;3.75+2.25+6.25+7.75+0.25+5.25+5.75+3.25 = 34.5
The divide the sum with the number of dataset ;= 34.5/8
= 4.3125
Learn more about mean here:
https://brainly.com/question/26941429
#SPJ1
SOLVE FOR U
7 = –3(u − 9) + 1
Answer:
u = 7
Step-by-step explanation:
Solve
13=d÷6 plsssssssssssssssssssssssssssssssssssssss
As of 2011, the following are the ages at which a country's presidents were inaugurated.
52, 62, 64, 51, 46, 64, 69, 60, 59, 51, 49, 50, 59, 61, 61, 48, 51, 42,
57, 46, 44, 47, 53, 63, 48, 53, 67, 52, 67, 63, 69, 53, 47, 45, 59, 48,
59, 56, 50, 60, 68, 45, 63, 62
Construct a grouped frequency distribution for the data. Use 41-45 for the first class and use the same width for each
subsequent class.
The grouped frequency distribution for the data is given as follows:
41 - 45: 0.0909.46 - 50: 0.25.51 - 55: 0.1818.56 - 60: 0.1818.61 - 65: 0.2045.66 - 70: 0.125.How to obtain the grouped frequency distribution?The relative frequency of an outcome in the context of an experiment is given by the number of outcomes assuming this value divided by the number of total outcomes.
Hence the grouped frequency distribution for the data in this problem is obtained considering the relative frequency of each outcome.
For example, we have that:
There are 44 presidents.4 of them were between 41 and 45.Hence the frequency for the age 41-45 is given as follows:
4/44 = 0.0909.
More can be learned about grouped frequency distributions at https://brainly.com/question/11502599
#SPJ1
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the definition to the term it is describing.
One of the major differences between line segment, line and ray is the number of the endpoints, or no endpoint in either. Thus the definition of the terms are:
line segment - part of a line that is bounded on both ends by an endpointline - a set of points that extends infinitely in two opposite directionsray - part of a line that has an endpoint and extends infinitely only in one direction.A given set of lines can be differentiated by the major differences among them which could either be in length or a line segment, line or ray. All these are parts of a line but have their individual differences as a means of identification.
Thus, the required definition of terms that would complete the pairs given in the question are:
line segment - part of a line that is bounded on both ends by an endpoint line - a set of points that extends infinitely in two opposite directions ray - part of a line that has an endpoint and extends infinitely only in one directionLearn more about the differences among line, line segment and ray at https://brainly.com/question/14447004
#SPJ1
Its in the attachment
Domain: (−∞,∞),{x|x∈R} and Range: (−∞,∞),{y|y∈R} for f(x)=0.5x
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
Helene is selling cupcakes for $0.50 each.
The function f(x)=0.5x gives the total amount of money Helene makes after selling x cup cakes.
We need to find the domain and range of the function
solve the equation f(x)=0.5x to determine the values of the independent variable x and obtain the domain.
To calculate the range of the function, we simply express x as x=g(y) and then find the domain of g(y).
Domain: (−∞,∞),{x|x∈R}
Range: (−∞,∞),{y|y∈R}
Hence, Domain: (−∞,∞),{x|x∈R} and Range: (−∞,∞),{y|y∈R} for f(x)=0.5x
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
What are the zero(s) of the function f(x) = 5x² - 25x
————-
X
x = 5
O x = 0 and x = 5
O x = 0
O x = -5
Answer:
x=5
Step-by-step explanation:
5^55x55^22x55^-95=
Anyone?
Answer:
2.4938705426067307E - 8
Step-by-step explanation:
How to solve y= 2x-1 y= 3x+2 by substitution
(-3, -7).
Step-by-step explanation:1. Write the expressions.[tex](1)y= 2x-1\\ \\ (2)y= 3x+2[/tex]
2. Write equation 1 and substitute its y value by the argument of expression 2.[tex](3x+2)= 2x-1\\ \\3x+2= 2x-1[/tex]3. Subtract 2 in both sides of the equation.[tex]3x+2-2= 2x-1-2\\ \\3x=2x-3[/tex]
4. Subtract 2x from both sides of the equation.[tex]3x-2x=2x-3-2x\\ \\x=-3[/tex]
5. Verify the answer.To see of the answer is correct, both of the equation should give the same y value for the x value of -3.
[tex](1)y= 2(-3)-1\\ \\ y=-6-1\\ \\y=-7[/tex]
[tex](2)y= 3(-3)+2\\ \\y=-9+2\\ \\y=-7[/tex]
6. Express the final result.(x, y)
(-3, -7).
Juan runs out of gas in a city. He walks 12 yards west and then 5 yards south looking for a gas station. How far is he from his starting point?
Answer:17
Step-by-step explanation:when we add the 12+5 together and will be the answer
Find the length of LK.Explain work
Since the three triangles are similar the length of LK will be 8 units.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that,
XW=LK=BC
∠WXY = ∠MLK=∠ABC
WY=10
XY=6
AB=6
ΔWXY ≅ MLK
XW=LK
XW=8
LK= 8 units
Thus, if the three triangles are similar the length of LK will be 8 units.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ1