Answer:
\(9 - ( - 4) \\ = 9 - - 4 \\ 9 + 4( - \times - = + ) \\ = 13 \\ thank \: you\)
Write a simplified expression, in terms of y, for both area and perimeter of the triangle below
Answer:
Area: \(27y^{3} -24y^{2}\)
Perimeter: \(6y^{2} +7y+5\)
Step-by-step explanation:
Area:
\(\frac{1}{2}\) x base x height
\(6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}\)
Perimeter:
\(6y^{2} +4y+(3y+5)\\6y^{2} +7y+5\)
What do patterns do you notice about finding the area of a triangle?
Step-by-step explanation:
heres the formula A=12b(base)h(hight)
Answer:
Step-by-step explanation:
It has (1/2) included in the formula to find area
What’s the slope I need help
Answer:
-8/3
Step-by-step explanation:
You want the slope of the line shown in the graph.
Slope from point coordinatesWhether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.
It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -4)/(4 -1) = -8/3
The slope of the line is -8/3.
Counting grid squaresThe slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.
rise/run = -8/3 = slope of the line
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
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Please anyone help me on this
Answer:
You see where the line is at its highest you can read that point and the the points in the middle and the one at the bottom for the end and you can have your equation by seeing the points located and doing it.
Step-by-step explanation:
Thanks and your welcome! Have a great week! Hope i helped! Plz tell me if i helped! Hope you get 100%!
PQRS is a rectangle. PR = 26. What is the value of x? *
not all multiple choice is show
The value of X from the given rectangular figure above would be = 6.5. That is option A.
What is a rectangle?A rectangle can be defined as a quadrilateral that has four sides, four vertices, and four angles.
In a rectangle, when two diagonal line divides it, the two diagonals are of the same length.
That is;
Line PR = Line SQ
Half of PR = ER
Half of SQ = QE
But QE = 2x
PR = 26
QE = 1/2 × 26 = 2x
13= 2x
X = 13/2
X= 6.5
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What is the actual area of the window?
Scale: 1 in. = 2 ft.
4 in X 3 in
The actual area of the window is 48 feet squared
What is area?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. It is measured in squared units
Area of a rectangle is given as l×b
The scale is 1 inches = 2 feet
therefore 4 inches = 4× 2 feet = 8 feet
3 inches = 3 × 2 inches = 6 feet
Therefore the actual area of the window =
= 8 × 6 = 48feet²
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Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Students on the Student Government Board
On-Campus Housing Off-Campus Housing
Freshman 2 2
Sophomore 2 4
Junior 0 3
Senior 4 2
Graduate Student 2 0
The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).
1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:
Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19
2. Calculate the total number of graduate students on the Student Government Board:
Total Graduate Students = 2 + 0 = 2
3. Calculate the total number of students living in on-campus housing:
Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10
4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:
Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19
5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:
Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19
6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:
Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19
7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.
8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).
9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.
Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE BRAINLIEST TO RIGHT ANSWER FIND X
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
Corresponding sides are proportional.
full length/right segment = 36/20 = (x+5+30)/30
Multiplying by 30 gives ...
54 = x +35
19 = x . . . . . . . subtract 35
Marjorie purchased a county government bond with a par value of $3,000 and coupon rate of 3.42% which pays interest quarterly. What will be Marjorie’s quarterly interest payments?
Step-by-step explanation:
To calculate Marjorie's quarterly interest payments, we need to use the formula:
Quarterly interest payment = (par value x coupon rate) / number of payments per year
Since the bond pays interest quarterly, there are four payments per year. Substituting the given values into the formula, we get:
Quarterly interest payment = ($3,000 x 3.42%) / 4
Quarterly interest payment = ($3,000 x 0.0342) / 4
Quarterly interest payment = $85.50 / 4
Quarterly interest payment = $21.375
Therefore, Marjorie's quarterly interest payments will be $21.375.
Find x. Please and thank you!
-21. A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has a standard deviation of 20 mm. The company wishes to test mm versus mm, using the results of n 10 samples. (a) Find the P-value
Answer:
0.057
Step-by-step explanation:
To obtain the p value, we need to obtain the test statistic :
For a one sample test :
Test statistic is given by :
(xbar - μ) ÷ (σ/√(n))
(185 - 175) ÷ (20/√(10))
10 ÷ 6.3245553
Test statistic = 1.581
Qe used the Z distribution because we are working with the population standard deviation.
Using the Pvalue from test statistic calculator :
Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;
Pvalue = 0.0569
Lime Scooter Rentals in San Diego charges $2 to start and
$0.10 per minute after. The price to rent a scooter for m
minutes from Spin Scooter Rentals is shown in the graph to
the right. For which time(s) are the prices the same at both
rental companies?
The time for which the cost is the same for both companies is given as follows:
10 minutes.
How to define the cost functions?As the cost per unit of time is constant for each company, the cost functions are linear functions.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
The coefficients and their meaning are given as follows:
m is the slope, representing the cost per minute.b is the intercept, representing the initial cost.Then the cost functions are given as follows:
Lime Scooter Rentals: y = 2 + 0.1x.Spin Scooter Rentals: y = 1 + 0.2x. (from the graph, in 10 minutes, the cost increased by $2, then the slope is of 0.2).Then the costs will be the same when:
1 + 0.2x = 2 + 0.1x
0.1x = 1
x = 1/0.1
x = 10 minutes.
Missing InformationThe graph for the cost for Spin Scooter Rentals is given by the image shown at the end of the answer.
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g(n)=-2n^2-4n
h(n)=n-1
find g(h(-1-b))
Answer:
(1^2-b)^2
Step-by-step explanation:
becuase i said so
In a survey of 259 professional athletes, it was found that 110 of them owned a convertible, 91 of
them owned a giant screen TV, and 120 owned a sporting goods store. 15 owned a convertible and a
store, 43 owned a TV and a store, and 44 owned a covertible and a TV. 9 owned all three items.
1. How many athletes did not own any of the three items?
2. How many owned a covertible and a TV, but not a store?
3. How many athletes owned a convertible or a TV?
4. How many athletes owned exactly one type of item in the survey?
5. How many athletes owned at least one type of item in the survey?
6. How many owned a TV or a store, but not a convertible?
1. Number of athletes did not own any of the three items = 259 - 228
= 31.
2. Number of athletes own a convertible and a TV but not a store = 44 - 9
= 35.
3. Number of athletes own a convertible or a TV = 110 + 91 - 44
= 157.
4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
5. Number of athletes owned at least one type of item = 259 - 31
= 228
6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71
= 118.
The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.
Total number of athletes surveyed = 259
Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228
Number of athletes who did not own any of the three items = 259 - 228 = 31.
The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.
Number of athletes who own a convertible and a TV = 44
Number of athletes who own all three items = 9
Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35
The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.
Number of athletes who own a convertible or a TV = 110 + 91 - 44
= 157.
The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.
Number of athletes own a convertible only = 110 - 15 - 9 = 86
Number of athletes own a TV only = 91 - 44 - 9 = 38
Number of athletes own a store only = 120 - 15 - 43 - 9 = 53
Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
The number of athletes who owned at least one type of item can use the result from part (1).
Number of athletes who owned at least one type of item = 259 - 31
= 228
The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.
Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159
Number of athletes own a TV or a store not a convertible = 13 + 34 +71
= 118.
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Which is the first step?Evaluate the first equation for x = -5.O Evaluate the second equation for x = -1.O Evaluate the second equation for x = 5.O Evaluate the first equation for x = -1.
A piecewise function formed by two equations with domains a≤x
In this case the two equations are:
\(\begin{gathered} f(x)=2x+3n \\ h(x)=2x^2-3x-9 \end{gathered}\)They are both polynomials so we know they are continuous in their respective domains. Then we just need to compare the values of f and h at x=-1 which is the value where their domains meet. Then the first step would be evaluating the first equation at x=-1:
\(f(-1)=2\cdot(-1)+3n=-2+3n\)Then we evaluate the second equation at x=-1:
\(\begin{gathered} h(-1)=2\cdot(-1)^2-3\cdot(-1)-9 \\ h(-1)=-4 \end{gathered}\)Then we have to look for the value of n that makes h(-1)=f(-1). Then we equalize these two results:
\(-2+3n=-4\)And we solve this equation for n. We can start by adding 2 to both sides:
\(\begin{gathered} -2+3n+2=-4+2 \\ 3n=-2 \end{gathered}\)And we divide both sides by 3:
\(\begin{gathered} \frac{3n}{3}=-\frac{2}{3} \\ n=-\frac{2}{3} \end{gathered}\)AnswerThe first step to find n is evaluating the first equation for x=-1. Then the answer is the fourth option.
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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Please help ASAP!!
What is the sum of the square root of 676 and square of 24
Step-by-step explanation:
square root of 676 is equal to 26
square of 24 is equal to 576
576+26 = 602
Step-by-step explanation:
\( \sqrt{676 } = 26\)
\( {24}^{2} = 576\)
576+26=602
I WILL MARK BRAINLIEST !!!Choose the slope and y-intercept that correspond with the graph.
Answer:
the last one
Step-by-step explanation:
Answer:
slope -1/3 and y-intercept is -1
Step-by-step explanation:
pls help me with questions 2-7 i will give brainiest and i also just need the equations
Answer:
2) y=-2x+3
3) y=\(\frac{1}{2}\)x+2
4) y=2x-5
5) y=\(\frac{2}{3}\)x+2
6) y=-3x+5
7) y= \(\frac{2}{3}\)x-1
When given two points and asked to find the equation of the line in slope-intercept form, what are the correct steps? Place a number next to the step to put them in order.
When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
Given that,
given two points and asked to find the equation of the line in slope-intercept form.
Find that,
what are the correct steps? Place a number next to the step to put them in order.
Explanation:
to find the equation of the line in slope intercept form form given two points.
step 1 :
find the slope.
step 2
write equation in point slope form
step 3.
pick a point form the given points , substitue it into the point slope form
step 4.
write the equation in slope intercept form by simplifying
Final Answer.
Hence , the correct order is 2 , 1 , 4 , 3.
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What is the measure of arc MN
A.70
B.140
C.30
D.120
Answer:
70 I guess is the correct answer
HELP FASTT !
This week Alison bought 108 bunches of carnations and 96 bunches of
roses from the supplier. Let c represent the number of carnations in each
bunch, and let r represent the number of roses in each bunch. Write an
expression to show the total number of carnations and roses that Alison
bought.
The expression to show the total number of carnations and roses that Alison bought is 108c + 96r.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
This week,
Alison bought 108 bunches of carnations and 96 bunches of roses from the supplier.
Let c represent the number of carnations in each bunch, and let r represent the number of roses in each bunch.
Then the expression to show the total number of carnations and roses that Alison bought is,
108c + 96r
Therefore, the expression is 108c + 96r.
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Find the range of the data in the box plot below.
cookies
Number of cookies eaten
by each contestant
HHHHHHHHHHHHHHHHHHHHHHHHH
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
16
Step-by-step explanation:
22-6=16 ;0
There are 12 triangles and 4 squares. What is the simplest ratio of squares to triangles
Answer:
1:3
Step-by-step explanation:
4:12 = 1:3
Answer:
1 : 3
Step-by-step explanation:
4 squares : 12 triangles
4 : 12
1 : 3
I need help!! Please help me
Y=24-4x fill in the table using this function rule
X Y
1 ?
4 ?
5 ?
6 ?
X = 1 4 5 6
Y = 20 8 4 0
Mathematical FunctionsFrom the function: Y = 24 - 4X
If X = 1, then Y = 24 - 4(1) = 20
If X = 4, then Y = 24 - 4(4) = 8
If X = 5, then Y = 24 - 4(5) = 4
If X = 6, then Y = 24 - 4(6) = 0
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Question 3 Write a method that solves for x in the quadratic equation. The parameters are a, b, c, and boolean flag that indicates whether it will solve the equation with addition or subtraction in the numerator. 2-4ac ㄨㄧ- 2a Source: Wikipedia The method will return the value of x
On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )
What is quadratic equation?A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.
public static double solve(double a, double b, double c, boolean flag)
{ double d = Math.sqrt(b*b - 4*a*c); if(flag)
{ return (-b + d) / (2*a); }
else { return (-b - d) / (2*a); } }
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The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10.7% of his customers buy a magazine is correct, what is the probability that exactly 4 out of the first 13 customers buy a magazine
Answer:
0.0329 ≅ 0.03 to two decimal places
Step-by-step explanation:
The owner of a small deli is trying to decide whether to continue or discontinue selling magazines.
His suspicion that only 10.7% of his customers by a magazine (daily) is correct.
What is the probability that exactly 4 out of the first 13 customers (on this day) buy a magazine?
The probability is:
10.7% × 4/13 = 10.7/100 × 4/13 = 0.107 × 0.308 = 0.0329 ≅ 0.03 to two decimal places
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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