Answer: 5x - 3
Step-by-step explanation:
This is asking us to add the functions together in terms of x, and simplify.
Given:
(f + g)
Substitue:
(2x - 4) + (3x + 1)
Distribute the positive:
2x + 3x - 4 + 1
Combine like terms:
5x - 3
You are interested in the average reading achievement test score of the currently enrolled students in Edison Elementary School. The average score of just Ms. Grady's class would be referred to as a:
The average score of just Ms. Grady's class would be referred to as a "class average" or "average score of Ms. Grady's class."
What is the term used to refer to the average score of just Ms. Grady's class?
The given paragraph discusses the concept of average reading achievement test scores at Edison Elementary School. In this context, the average score specifically pertaining to Ms. Grady's class would be referred to as a "class average" or "average score of Ms. Grady's class."
To calculate the average score of Ms. Grady's class, the individual reading achievement test scores of all the students in her class would be added together and divided by the total number of students in the class.
This provides a measure of central tendency that represents the typical performance of students in her class on the reading achievement test.
The class average is a useful metric for assessing the overall performance and progress of students in a specific class, as it provides a consolidated representation of the collective achievement levels within that particular group.
By comparing the class average to school-wide or district-wide averages, educators can gain insights into the relative performance of Ms. Grady's class and make informed decisions regarding instructional strategies and interventions to support students' reading abilities.
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7. Find: (i) x + y +z (ii) a+b+c+d
Answer:
Q.1 360° Q.2 360°
Step-by-step explanation:
Q.1 let the third angle of the triangle be a
70°+40°+a=180(by angle sum property)
110°+a=180
a=180°-110°
a=70°
angle x=70°+x=180°(linear angle)
x=180°-70°
x=110°
angle z= 40°+z=180
z= 180°-40°
z=140°
angle y=a+y=180°
70°+y=+80°
y=180°-70°
y=110°
y+z+x=110° +110° +140°=360
Q.2 let the fourth angle of the quadrilateral be x
120°+70°+60°+ x=360° (by angle sum property)
250°+x=360°
x=360°-250°
x=110°
angle a=120°+a=180°(by linear angle)
a=180°-120°
a=60°
angle b=70°+b=180°
b=180°-70°
b=110°
angle c=x+c=180°
110° + c=180°
c=180°-110°
c=70°
angle d=60°+d=180°
d= 180° -60°
d=120°
a+b+ c+d=120°+110°+60°+70°=360°
66/80 Marks
U 1
2 3
4
5
Sam has drawn a time series graph to show the
numbers, in thousands, of visitors to a theme park.
Jayne, Sam's friend, tells him it is
the worst graph she has ever seen
and she can see quite a few things
about the graph that are wrong
or misleading.
Write down two of the problems
Jayne has found. If anything is
missing, be very clear where it is
missing from
10
9
Number
8.5
of visitors
(thousands)
8
+
7.5
7-
6.5-
6-
2.
4
2
4
3
2017
3 4
2018
Year
2 3
2019
You might find a fault that Jayne
hasn't spotted. She's found the
main ones, though. Keep trying
until you find two faults that Jayne
has identified.
Total marks: 2
Answer:
-the lines should be straight
-there is no 9.5 thousand number of visitors given on the y axis
Step-by-step explanation:
The two faults are the x axis has 2, 3 and 4 and the year is 2017, 2018 etc. However we do not know the relationship between 2 and 2017. and the line is not smooth.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that Sam has drawn a time series graph to show the numbers, in thousands, of visitors to a theme park.
Jayne, Sam's friend, tells him it is the worst graph she has ever seen
and she can see quite a few things about the graph that are wrong
or misleading.
The x axis has 2, 3 and 4 and the year is 2017, 2018 etc. However we do not know the relationship between 2 and 2017.
The line is not correct when drawing the graph the line used to connect the point should be smooth but the given graph is not smooth.
Hence, the two faults are the x axis has 2, 3 and 4 and the year is 2017, 2018 etc. However we do not know the relationship between 2 and 2017. and the line is not smooth.
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Rebecca obtained a loan of $580 for 75 days. At maturity, she paid $16.68 interest for this loan. Determine the interest rate that was charged for this loan.
Answer:
14%
Step-by-step explanation:
Using the formula for calculating Simple interest.
Simple interest = Principal × Rate × Time/100
Given Simple interest = $16.68
Principal = loan obtained = $580
Time (in years) = (75/365) year {we will convert days to year}
Rate (in %) = ?
On substituting to get the rate
16.68 = {580×R×(75/365})/100
16.68 = 580×R×75/365×100
16.68×36,500 = 580×R×75
608,820 = 43,500R
R = 608,820/43,500
R = 13.99℅
Rate ≈ 14%
The interest rate that was charged for the loan is approximately 14%
if cos 0=0 then sec 0=0. Please select the best answer from the choices provided
Answer:
The statement "if cos 0=0 then sec 0 is undefined" is true.
When the value of cos 0 is 0, it means the angle 0 is equal to 90 degrees or π/2 radians. At this angle, the value of the secant function, sec 0, is undefined as it is equal to 1/cos 0, and the denominator is equal to 0. Therefore, sec 0 cannot be equal to 0 when cos 0 is 0.
In general, it is not true that if a trigonometric function of an angle is equal to 0, then another trigonometric function of the same angle is also equal to 0. Each trigonometric function has its own unique properties and values that depend on the angle being used.
among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease. can this result be explained by chance alone? (use r to perform the test).
We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.
Define null hypothesis.With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.
Given,
Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.
Let X be the random variable to determine the proportion of people who have clinical illness.
n: The overall number of people who were exposed to a specific infectious pathogen.
p: The percentage of sample members who have a clinical illness.
Selected subjects who experience clinical disease are the experiment's success.
As a result, the variables are n = 100 and p = 0.30.
It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.
A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.
Using the default level of significance = 0.05, the level of significance is not defined.
One percentage z-test is the best suitable test for the aforementioned assertion.
The alternate and null hypothesis is
H0: p = 0.3
H1:: p ≠ 0.3
Where p is the percentage of the population that develops a clinical illness.
R may be used to calculate the p-value and test statistic.
The instruction is as follows:
x = 20; n = 100; p = 0.3; prop.test
The result looks like this: - The p-value obtained from the output above is 0.03817.
Decision principle:
When significance is 5%,
If the p-value is below 0.05, reject the null hypothesis.
Accept the contrary.
Because the p-value was 0.03817 0.05
The null hypothesis is disproven.
In conclusion:
We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.
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A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 13 inches. The side to the right of the base is 7 and one-half inches. The small side parallel to the base is 5.18 inches. There are two sides that form a point at a right angle. The smaller is 5 inches, and the larger is 6 inches.
What is the area of the shape for the quilt block?
sixty-three and three fourths in2
one hundred twelve and one half in2
one hundred twenty-seven and one half in2
225 in2
The total area of the quilt is 112.5 square inches
How to determine the total area of the quilt?The six-sided figure is given, and we can deduce the following parameters from the question:
The shape is made of a triangle and a rectangle
The side lengths derived from the question are:
The triangle on top:
base: 5 inches and height: 5.18 inches
The rectangle at the bottom:
Base: 16 inches with a height of 7.5 inches
So, we have the total area of the figure to be
Area of figure = 1/2 * 5 * 6 + 13 * 7.5
Area of figure = 112.5
Based on the parameters, the total area is 112.5 square inches
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The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi
The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.
The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.
Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:
28.6 = πd
d = 28.6/π
Using 3.14 as an approximation for π, we get:
d ≈ 28.6/3.14 ≈ 9.11
Therefore, the diameter of the circle is approximately 9.11 cm.
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Solve 54=y−14. i need help anything helps.
Answer:
y=68
Step-by-step explanation:
isolate the variable by adding 14 to both sides
54+14=y+14-14
68=y
A big ship drops its anchor. E represents the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds).
E=−2.4t+75
How far does the anchor drop every 5 seconds?
Answer:12
Distance for the anchor drop every 5 seconds is,
⇒ E = 63 meters
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A big ship drops its anchor.
Here, E represents the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds).
E = - 2.4t + 75
Now, Distance for the anchor drop every 5 seconds is,
Put t = 5;
E = - 2.4t + 75
E = - 2.4 × 5 + 75
E = - 12 + 75
E = 63 meters
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Use to isolate the variable
Answer:
reciprocals
Step-by-step explanation:
HAVE A GOOD DAY AND BE SAFE WIT THIS RONA
Question 19 Part 1: What's the maximum distance (in feet) that the receptacle intended for the refrigerator can be from that appliance? Part 2: Name two common kitchen appliances that may require rece
Part 1: The maximum distance between the receptacle intended for the refrigerator and the appliance is determined in feet. Part 2: Two common kitchen appliances that may require receptacles are named.
Part 1: The maximum distance between the receptacle and the refrigerator depends on electrical code regulations and safety standards. These regulations vary depending on the jurisdiction, but a common requirement is that the receptacle should be within 6 feet of the intended appliance. However, it's essential to consult local electrical codes to ensure compliance.
Part 2: Two common kitchen appliances that may require receptacles are refrigerators and electric stoves/ovens. Refrigerators require a dedicated receptacle to provide power for their operation and maintain proper food storage conditions. Electric stoves or ovens also require dedicated receptacles to supply the necessary electrical power for cooking purposes. These receptacles are typically designed to handle higher electrical loads associated with these appliances and ensure safe operation in the kitchen.
It's crucial to note that specific electrical codes and regulations may vary based on the location and building requirements. Therefore, it's always recommended to consult local electrical codes and regulations for accurate and up-to-date information regarding receptacle placement and requirements for kitchen appliances.
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The linear function below represents Brenda's monthly cell phone bill based on the number of hours she uses. what is her hourly rate?
Answer:
for every hour used, it costs $12
Step-by-step explanation:
you can find slope by using rise over run, which would be 12/1
Order these numbers from least to greatest.
3/4, -1/5, -5/16, 0.90, -0.52
0.90, 3/4, -5/16 , -0.52, -1/5
-1/5 , -5/16 , -0.52, 3/4, 0.90
0.90, 3/4, -0.52, -5/16 , -1/5
-0.52, -5/16 , -1/5 , 3/4, 0.90
Answer:
0.90, 3/4, -5/16 , -0.52, -1/5Step-by-step explanation:
If in fact the median combined Math and Verbal SAT score (SAT) of a college that 85% (Top_HS) of it's students are from their top 10% of their high school graduating class is 1280 from Cornell University, using the result in Question 5(b), the residual is which in this case we have
According to the given information, the residual in this case is 25.
The median combined Math and Verbal SAT score (SAT) of a college that 85% (Top_HS) of its students are from their top 10% of their high school graduating class is 1280 from Cornell University.
We will calculate the residual for this data.
Here, Median score, X = 1280.
The equation of the line is, Y = aX + b
Here, a is the slope of the line and b is the intercept of the line.
a = slope of the line = (Y2 - Y1)/(X2 - X1)
When the percentage of students from the top 10% of their high school graduating class (Top_HS) increases by 10%, the median SAT score increases by 12 points.
This means,
When Top_HS = 75%, SAT = 1268, and
When Top_HS = 85%, SAT = 1280.
So, Y1 = 1268, Y2 = 1280, X1 = 75, and X2 = 85.
Plugging these values in the equation,
a = (1280 - 1268)/(85 - 75) = 1.2
b = intercept
= Y - aX
Taking X = 75, Y = 1268,
and a = 1.2, we get,
\(b = 1268 - 1.2 \times 75 = 1153\)
The equation of the line is,
\(Y = 1.2X + 1153\)
Using this line, we can calculate the residual.
Residual = Observed value - Predicted value
We know that X = 85 and the observed value is 1280.
Substituting these values, the predicted value is,
\(Y = 1.2 \times 85 + 1153 \\= 1153 + 102 = 1255\)
Therefore, the residual is the observed value minus the predicted value.
Residual = 1280 - 1255 = 25.
Therefore, the residual is 25.
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using the properties of equality, fill the with the correct value to show the solution for y
3(y-2)=18
3y- =18
3y=
The missing value in the equation 3(y - 2) = 18 using the properties of equality is 6.
Given that 3(y - 2) = 18. To solve for y, use the properties of equality and fill the missing value as follows: 3(y - 2) = 18. The first step is to simplify the left side of the equation by multiplying 3 to the brackets.
3 * y - 3 * 2 = 183y - 6 = 18
Add 6 to both sides of the equation to isolate the term 3y on one side.
3y - 6 + 6 = 18 + 63y = 24
Finally, divide both sides of the equation by 3 to obtain the value of y.
3y/3 = 24/3y = 8
Therefore, the solution for y is 8.
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Help me find the “?”
Can you guys help me with my home work? It’s okay if you only do one question, but I’m struggling really hard and I’m getting frustrated
? - 4 - 2p + 5 = 6p + 1
7d - 4 + 3 - 2d = ? - 1
12c - 8 - 2c + 10 - 4 = 10c -?
Given the the following equations, find the unknown value, ?, that makes the equations true
.\(? - 4 - 2p + 5 = 6p + 17d - 4 + 3 - 2d = ? - 112c - 8 - 2c + 10 - 4 = 10c -?\)
Starting with the equation, \(? - 4 - 2p + 5 = 6p + 1\)
Start with the side that is more complex, \(?-4-2p+5\). Simplify it as best you can by combining all like terms.
\(?-4-2p+5\)
=>\((?)+(-2p)+(-4+5)\)
=> \(?-2p+1\)
Now look at the R.H.S (\(6p+1\)), notice how we have the +1 in the simplified expression above. So what value would we put in for "?" to get 6p? That value would be 8p.
Now we have, \((8p)-2p+1=6p+1\)
=> \(6p+1=6p+1\)
The equation matches making it true. I will now do the rest without a long explanation. If you need an explanation or have any questions, please leave a comment.
Now for, \(7d - 4 + 3 - 2d = ? - 1\)
Simplifying L.H.S, we get...
=> \(5d-1\)
To match it with the R.H.S, "?" would have to be 5d.
Lastly, \(12c - 8 - 2c + 10 - 4 = 10c -?\)
Simplifying L.H.S, we get...
=> \(10c-2\)
To match it with the R.H.S, "?" would have to be 2.
Answers:
8p, 5d, & 2
what conditions are required for the inference, part b, to be valid? are these conditions reasonably satisfied?
For the inference in part b to be valid, the conditions required are reasonable satisfaction.
To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.
However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.
These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.
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Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
type sum random i will mark brainlist
Answer: Ummm Thanks :D
Step-by-step explanation:
Find the distance between the points
Answer:
5
Step-by-step explanation:
Solve for x
5x−4≥12 OR 12x+5≤−4
Please help, I'm stuck and I'm not really getting the hang of this yet.
Answer:
No solution
Step-by-step explanation:
5x−4≥12 AND 12x+5≤−4
solve it separately
5x - 4>=12
add 4 on both sides
5x >= 16
Divide both sides by 5
x > = 16/5
12x+5≤−4
subtract 5 from both sides
12x <= -9
divide both sides by 12
x<= -9/12
x<=-9/12 and x>= 16/5
There is no intersection between the inequalities
so there is no solution
Knowing that ΔQPT ≅ ΔARZ, a congruent angle pair is:
Answer:
C. ∠T ≅ ∠Z
Step-by-step explanation:
The order of listed vertices determines which angles correspond to each other, given that the triangles are congruent. Since T and Z correspond, and the triangles are congruent, the angles must be congruent.
if we have 10 slices of sandwiches and each 2 person take one how many slices do we still have..its easy
x^2 +4x+4=0 resolver en forma cuadratica
Answer:
Solve the equation for x by finding a , b , and c
of the quadratic then applying the quadratic formula.
x = − 2 Double roots
how many atheletes in total were acccused of using performance-enhancing drugs? of these, how many were using and how many were not? what percentage of those accused of using were falsely accused?
There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.
Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.
Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.
If you have a specific case or sport in mind, I can try to provide you with more information on that topic.
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Kay left her computer running for 2~ days. How many hours did she leave her computer running for?
she left her computer open for 48 hours
Susie's mom is keeping track of how many pieces of candy Susie and her four brothers are eating. The information is graphed below. At what rate is the amount of candy changing? A. -75 pieces of candy per day B. 90 pieces of candy per day C. -90 pieces of candy per day D. 75 pieces of candy per day
The rate of change for a graph passing through (0, 0) and (2, -180) is -90 pieces of candy per day
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The slope intercept form of a linear equation is:
y = mx + b
where m is the rate of change and b is the y intercept
Let y represent the total pieces of candy remaining after x days. Let us assume that the graph passes through (0, 0) and (2, -180). Hence:
\(Slope(rate\ of\ change) = \frac{y_2-y_1}{x_2-x_1}\\ \\substituting:\\\\slope=\frac{-180-0}{2-0} =-90\)
The rate of change is -90 pieces of candy per day
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Find the probability a teenager has exactly 3 pairs of shoes in their closet.
Answer:
P(3) = 57/150 = 19/50 = .38 = 38%
an ostrich is 255 cm.Suppose that you want to make a scale drawing of an ostrich. The scale is 30:1. What height will you make the ostrich in your drawing
Answer:
The height of the drawing should be: 8.5 cm
Step-by-step explanation:
Use the proportion given by the scale in order to find the height "h" that you need to draw:
\(\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm\)