Going into the final exam which will count as two tests, Amelia has test scores of 77.82.72.61, and 96. What score does Amelia need on the final in order to have an average score of 80?
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Related Questions
Five more than twice a number is three. Write that in equation
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Step-by-step explanation:
Hi there!
According to the question;
Five more than twice a number is three.
Then let the number be "x".
Since X is the number according to the condition of question;
The number is twice : 2x
It's then more 5 : 2x+5
And the result is : 3,
Combining all; we get,
2x+5 = 3
Therefore, the required equation is 2x+5 = 3.
Hope it helps!
PLSSS HELP MEEE
Classify quadrilateral RSTV. Support your answer by showing calculations.
Answers
The given quadrilateral RSTV is a kite.
What are quadrilaterals?The following characteristics apply to quadrilaterals, which are polygons.
It has four sides and four vertices surrounding four angles.A quadrilateral's interior angles add up to 360 degrees.To classify the quadrilateral calculate the length of its sides using the distance formula given as follows:
\(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }\)
In the given quadrilateral RSTV,
RS = \(\sqrt{(2 - (-5))^{2} + (6 - 7)^{2} }\) = \(\sqrt{50 }\)
RV = \(\sqrt{(-4 - (-5))^{2} + (0- 7)^{2} }\) = \(\sqrt{50}\)
ST = \(\sqrt{(5 - 2)^{2} + (-3- 6)^{2} } = \sqrt{90}\)
VT = \(\sqrt{(-3 - 0)^{2} + (5- (-4))^{2} } = \sqrt{90}\)
The two adjacent sides of the quadrilateral are equal i.e. RS = RV and ST = VT.
A kite is a quadrilateral with two pairs of sides that are both the same length and are next to one another.
Therefore, the quadrilateral is a kite.
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The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?
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- g(7) - g(4) = 5/6
- g(x) is a linear function
- The slope of the tangent line to g(x) at x = 5.5 is 5/6
- The derivative of g(x) at x = 5.5 is 5/6
- The graph of g(x) is concave up on the interval [4, 7]
- The graph of g(x) has a local maximum at x = 5.5 and a local minimum at x = 6.5.
Based on the plot, approximately how many practice puzzles
per week do members solve if they finish the contest puzzle
in one hour?
a 6
b 10
c 4
d 2
Answers
Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle
in one hour is c 4
How to explain the scatterplotThe line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.
If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.
The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.
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A running club has 90 members.
42 of them take part in half marathons.
28 of them take part in full marathons.
35 of them do not take part in any races.
Fill in the Venn diagram.
€
Н
F
E = club of 90 members
H = half marathons runners
F = full marathon runners
o
35
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Answer:
27, 15, 13
Step-by-step explanation:
simplify the expression m^-6n^-3/m^-13n^-1
A)m^7n^2
B)n^-9/n^-14
C)m^3n^12
D)m^7/n^2
Answers
\(\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}\)
Question no 59
Need solution
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The area of the shaded region is 104 cm²
How to determine the areaFirst, we need to know that the area of a circle is calculated using the formula;
A = πr²
Such that the parameters of the formula are;
A is the area of the circler is the radiusFirst, let us find the area of the small circle
Area = 3.14 × 4²
Find the square value and multiply, we have;
Area = 50.24cm²
Area of the large circle = 3.14 × 7²
Find the square value and multiply
Area = 153. 86cm²
Area of the shaded region = Area of large circle - area of small circle
= 153.86 - 50.24
= 104 cm²
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Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answers
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
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Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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The equation T^2= A^3 shows the relationship between a planets orbital period, T, and the planets mean distance from the sun, A, in astronomical units, AU. if the orbital period of planet Y is twice the orbital period of planet x, by what factor is the mean distance increased?
Answers
The mean distance increased by a factor of 2^(²/₃)
How to find the factor of increase?
The given equation for the relationship between a planet's orbital period, T and the planet's mean distance from the sun, A is;
T² = A³.
Let the orbital period of planet X = T(X).
Let the orbital period of planet Y = T(Y).
Let the mean distance of planet X from the sun = A(X).
Let the mean distance of planet Y = A(Y).
Thus;
A(Y) = 2A(X)
Therefore;
[T(Y)]² = [A(Y)]³ = [2A(X)]^3
However, [T(X)]² = [A(X)]³
Thus;
[T(Y)]² = 2³[T(X)]² * [T(Y)]²/[T(X)]² = 2³T(Y)/T(X) = 2^(³/₂)
That's for orbital period but the mean distance will increase by 2^(²/₃)
Thus we conclude that, the mean distance increased by a factor of 2^(²/₃)
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Answer:
2 Superscript three-halves
Step-by-step explanation:
Edge
1. Determine the net monthly pay given the following information:
Yearly Salary: $45,000
Deductions and other expenses: 25%
A. $2,500.00
B. $3,270.25
C. $4,500.00
D. $2,812.50
Answers
The value of net monthly pay is,
⇒ $2,812.5
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Yearly Salary: $45,000
Deductions and other expenses: 25%
Hence, The yearly salary after Deductions and other expenses is,
⇒ 45,000 - 25% of 45,000
⇒ 45,000 - 25/100 × 45,000
⇒ 45,000 - 11,250
⇒ 33,750
Thus, The value of net monthly pay is,
⇒ 33,750 / 12
⇒ $2,812.5
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X+4 is prime. X2-9can be factored using the __formula
Answers
\( \purple \bold{a^2 - b^2} \)
Step-by-step explanation:
X+4 is prime. X2-9can be factored using the \( \purple \bold{a^2 - b^2} \) formula
\( x^2 - 9\\
=x^2 - 3^2 \\
= (x+3)(x-3)\)
Answer: difference-of-squares
next one is (x+3)(x-3)(x+4)
Step-by-step explanation:
just took it on ed genuity :)
Please help me with this question
Answers
Answer:
The sum of 1/6 and 1/7 would be 13/42, or, if you wanted the answer in decimal form rounded to the nearest hundredth, it would be about 0.31.
To find the sum of 1/6 and 1/7, we cannot simply add the numerators together and maintain the same denominator. This is because 1/6 and 1/7 have different denominators, so we don't know which denominator to maintain!
To fix this we need to find a number that is divisible by both 6 and 7. One easy way to do this is to multiply the two numbers together:
6 x 7 = 42
If we were to change the denominator to 42 for each fraction, we could add the numerators together and maintain a denominator of 42. However, this means we must change the numerator of each fraction along with its denominator.
Let's start with 1/6. We can multiply 6 by 7 to obtain 42, but this means we also have to multiply 1 by 7 to keep the fraction proportionate. If the fraction does not maintain the same proportion, it will be a completely different fraction!
We know that 1 x 7 = 7, so it is safe to say that 1/6 is equal to 7/42.
We can apply the same logic to 1/7. Since 7 x 6 is 42 we need to multiply 1 by 6 along with 7. Note: you cannot multiply each number by 7 this time, because 7 x 7 would be 49, not 42. In multiplying the numerator and denominator by 6 we know that 1/7 = 6/42.
Now we have an equation of:
6/42 + 7/42
Now we can add it as we would normally by adding the numerators and keeping the denominator to get:
6/42 + 7/42 = 13/42
If you needed the answer in decimal form it would be about 0.3095238095, or 0.31 rounded to the nearest hundredth.
I hope this helped.
Suppose a small cannonball weighing 16 lb is shot vertically upward with an initial velocity
v_0 = 300v 0 =300 ft/s.(a) Suppose air resistance is ignored. If the positive direction is upward, then a model for the state of the cannonball is given by d^2s/dt^2 = -gd 2 s/dt 2 =−g.Since ds/dt = v(t)ds/dt=v(t) the last differential equation is the same as dv/dt = -gdv/dt=−g, where we take g = 32g=32 ft/s^2 2 . Find the velocity v(t)v(t) of the cannonball at time tt.(b) Use the result obtained in part (a) to determine the height s(t)s(t) of the cannonball measured from ground level. Find the maximum height attained by the cannonball.
Answers
Answer:
a) v(t)=-32t+300
b) s(t)=-16t^{2}+300t
\(s_{max} =\frac{5625}{4}ft=1406.25 ft\)
Step-by-step explanation:
A good way to start solving this problem out is to draw a diagram of the situation (see attached picture).
a)
For part a, we need to find an equation for the velocity of the cannon ball. We have an equation of its acceleration:
\(a=\frac{dv}{dt}=\frac{d^{2}s}{dt^{2}}=-g\)
we know that:
\(g=32 ft/s^{2}\)
so we got the following differential equation:
\(\frac{dv}{dt} =-32\)
we can find the function for velocity by integrating, so we get:
\(v =\int\limits {-32} \, dt\)
which yields:
v(t)=-32t+C
we need to find the value of C. The problem tells us that v(0)=300 ft/s so we can use this to find c:
300=-32(0)+C
so
C=300
therefore the equation for velocity is:
v(t)=-32t+300
b)
For part b) we need to find an equation for the height of the cannonball. We know that:
\(v=\frac{ds}{dt}\)
so:
\(\frac{ds}{dt}=-32t+300\)
so we can integrate this equation to find the function for height of the ball, so we get:
\(s=\int\limits {-32t+300} \, dt\)
which yields:
\(s(t)=-\frac{32t^{2}}{2}+300t+C\)
which can be simplified to:
\(s(t) =-16t^{2}+300t+C\)
We know the height is measured from the ground level, this means that s(0)=0 so we can find C with this information:
\(0=-16(0)^{2}+300(0)+C\)
so C=0, therefore our equation is:
\(s(t)=-16t^{2}+300t\)
in order to find the maximum height attained by the cannonball, we can set the velocity function equal to zero and solve for t, so we get:
0=-32t+300
-32t=-300
\(t=\frac{300}{32}\)
\(t=\frac{75}{8} s\)
and substitute it into our position function so we get:
\(s(\frac{75}{8})=-16(\frac{75}{8})^{2}+300(\frac{75}{8})\)
which yields:
\(s_{max} =\frac{5625}{4}ft=1406.25 ft\)
I need help with this
Answers
Step-by-step explanation:
If M is the midpoint of AB then,
AM = BB so we can write the following equation:
4x + 13 = 3x + 17
transfer like terms to the same side of the equation4x - 3x = 17 - 13
add/subtractx = 4
Now on to the length of BM, we can replace x with 4 to find it.
3*4 + 17 = 29
4x + 3c = -2 ... solve for X
Answers
Answer:
Step-by-step explanation:
4x + 3c = -2
4x = -2 - 3c
x = (-2 - 3c)/4
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
Answers
The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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Mean a wrote messages to her friends on a sidewalk she used 1/3 of piece of truck that was originally 2 5/6 inches long how many inches of child did she use?
Answers
Mean uses \(\frac{17}{18}\) inches of chalk
What is algebra ?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.
Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.
She used \(\frac{1}{3}\) of a piece of chalk that was originally \(2\frac{5}{6}\) inches long.
Now, we have to find how many inches of chalk did she use
= 1/3 × 2 5/6
= 1/3 × 17/6
= 17/18 inches.
Hence, Mean uses 17/18 inches of chalk.
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Evaluate a2 + b2 + c2 for a = -5, b = -2, and c = 3.
Answers
Step-by-step explanation:
(-5)² + (-2)² + 3²
= 25 + 4 + 9
= 38
2) In a design of a casing for gears housing we have 4 different types of fasters, 3 different bolt length and 3 different bolt locations. How many possible designs are there? 3) A driver from city A can be directly reach city B using 4 different roads, Moreover, he can also reach city B by passing by city C, he has 3 different roads from A to C, then 5 different roads from C to B. How many different choices are available?
Answers
Answer:
Q2) There are 36 possible designs for the casing for gears housing.
Q3) There are 22 different choices available to the driver.
Step-by-step explanation:
Q2) There are 4 different types of fasteners, 3 different bolt lengths, and 3 different bolt locations, for a total of 4 x 3 x 3 = 36 different combinations of fastener, bolt length, and bolt location. This means that there are 36 possible designs for the casing for gears housing.
Q3) There are 4 different roads that the driver can take directly from city A to city B, and 3 different roads that the driver can take from city A to city C, for a total of 4 + 3 = 7 different choices from city A to city B that involve either taking a direct route or going through city C. Additionally, for each of the 3 different roads from city A to city C, there are 5 different roads from city C to city B that the driver can take, for a total of 3 x 5 = 15 different choices that involve going through city C. Therefore, in total, there are 7 + 15 = 22 different choices available to the driver.
There are 36 possible designs for the gear casing. There are a total of 19 possible routes for the driver to reach City B from City A.
Explanation:This question is about the mathematical concept of combinations. In the casing for gears housing scenario, you are choosing different combinations of fasters, bolt lengths, and bolt locations which means you multiply the options together. So the number of designs is 4 fasters * 3 bolt lengths * 3 bolt locations = 36 different designs possible.
For the road from city A to city B, you can either go directly or pass by city C. For direct paths, there are 4 choices. In the case of passing by city C, you multiply the options together which means 3 different roads from A to C * 5 roads from C to B = 15 choices. Therefore, by adding both possibilities, you get a total of 4 choices (direct) + 15 choices (via city C) = 19 different choices are available.
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An electrical shop reduces display goods by 5% .A display TV is sold for £380. what is the usual price of the tv
Answers
Answer:
380-5%
Step-by-step explanation:
Answer:
£399
Step-by-step explanation:
personally its easier to find 1% first then multiply it by how many percent are needed to be found.
380/100=1%
380/100=3.8
3.8x5=5%
3.8x5=19
380+19=usual price
380+19=199
IM IN DESPERATE NEEED!!!
What is the solution to this system of equations?
Answers
Answer:
\(x + y - x = 6 - y - 4 \\ y = 2 - y \\ 2y = y \\ y = 1 \\ x + y = 6 \\ x + 1 = 6 \\ x = 5\)
4.1 Determine the number that makes the following statement true. 53 - (a certain number) = 65 The certain number =
Answers
Answer: To find the certain number, we need to subtract 53 - 65:
53 - 65 = -12
Therefore, the certain number that makes the statement true is -12.
Step-by-step explanation:
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
A. The area of the triangle is 108 mm².
B. The area of parallelogram is 286√2 in²
How to find the area of each parallelogram of triangle?A. Area of a triangle (A) = 1/2 * Base (b) * Height (h)
We have:
b = 18 mm
h = 12 mm
Thus:
A = 1/2 * 18 * 12
A = 108 mm²
B. The area of parallelogram is given by:
A = b * h
where b is the base and h is the height
We have:
b = 26 in
Using trig.:
sin 45 = h/22
h = 22 * sin 45
h = 11√2 in
Thus,
A = 26 * 11√2
A = 286√2 in²
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Which input value produces the same output value for the two functions on the graph?
Answers
Answer:
x = 1
Step-by-step explanation:
Answer: 2y by 4x
Step-by-step explanation:
Jeff added 4/5 cup of water to 2/3 cup of lemonade concentrate. Is there more water or concentrate?
Answers
Answer:
There's more water
Step-by-step explanation:
4/5 OR 80% is larger than 2/3 OR 66%
find the values of x and y..
Answers
Question 15 of 25What is the approximate value of tan C?
Answers
Solution:
Question :
Find the approximate value of Tan C
To figure out the value of tan C , we will use the image below
To find the value of tan C , we will use the trigonometric ratio below
\(\begin{gathered} tanC=\frac{opposite}{adjacent} \\ opposite=7 \\ adjacent=16 \\ \tan C=\frac{7}{16} \\ \tan C=0.4375 \\ tanC\approx0.44 \end{gathered}\)Hence,
The final answer is
\(\Rightarrow0.44\)OPTION B is the correct answer
Which statements are true about the graph of y < 2x+1? Check all that apply 3 The slope of the line is 1 The line is solid The area below the line is shaded. A solution to the inequality is (2, 3) The x-intercept of the boundary line is (-2, 0) Graph y
Answers
The statements that are true about the graph of y < 2x+1 include the following:
C. The area below the line is shaded.
D. A solution to the inequality is (2, 3).
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided, we have the following equation (inequality);
y < 2x + 1
The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).
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cos s=-2/5 and sin t=4/5, s and t are in quadrant II
find cos(s+t) and cos(s-t)
No spam!
Answers
Your answer is attached.
Hope it helps you!
