Answer:
it's an AP series and it's nth term is
a+(n-1)d
where a = ist term
n = number of term
d = difference of 2nd and 1st term
Question 10 (1 point) Find the 9th term of the sequence with the given information. a₁ = 5 d = 4
I need help! Please include an explanation.
Answer: C. [tex]56\;\frac{2}{3}[/tex] miles per hour
Step-by-step explanation:
To find the average, we will add together the data values and then divide by the number of values.
➜ We have 50 mph for one hour and 60 mph for two hours, this means that we have one 50 mph value and two 60 mph values since Jon drove 60 mph for two hours instead of one.
[tex]\displaystyle \frac{50+60+60}{3} =\frac{170}{3} =\boxed{56\;\frac{2}{3} \;\;\text{miles per hour}}[/tex]
An engineer finds 120 defective parts in a shipment of 4000. If this trend continues, about how many parts would you expect to be defective in a shipment of 100,000?
Answer: 3000 parts would be defective
Step-by-step explanation:
We can use a proportion to solve this problem. The proportion can be set up as follows:
defective parts / total parts = defective parts / total parts
We can plug in the numbers we have:
120 / 4000 = x / 100,000
To solve for x, we can cross-multiply:
120 * 100,000 = 4000 * x
Simplifying:
12,000,000 = 4000x
Dividing both sides by 4000:
x = 3000
Therefore, we would expect about 3000 defective parts in a shipment of 100,000, assuming the same trend continues.
We would expect about 3000 parts to be defective in a shipment of 100,000. We can use the concept of proportion to estimate the number of defective parts in a shipment of 100,000 if the same trend continues.
The proportion of defective parts in the first shipment is:
120 defective parts / 4000 parts = 0.03
This means that 3% of the parts in the first shipment were defective.
To estimate the number of defective parts in a shipment of 100,000, we can use this proportion: Number of defective parts in a shipment of 100,000 = Proportion of defective parts x Total number of parts
Number of defective parts in a shipment of 100,000 = 0.03 x 100,000
Number of defective parts in a shipment of 100,000 = 3000
Therefore, if the same trend continues, we would expect about 3000 parts to be defective in a shipment of 100,000. However, it's important to note that this is just an estimate, and actual results may vary.
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find missing terms in the given number sequences 33,35_,39_,43 2.41,_,51,56,_,66
Answer:
41、46、51、56、61、66
The diameter of a cone's circular base is 6 inches. The height of the cone is 12 inches.
What is the exact volume of the cone?
Enter your answer in the box.
The volume of the cone is 113.04 inches cube.
How to find the volume of a cone?The diameter of the cone circular base is 6 inches. The height of the cone is 12 inches.
Therefore, the volume of the cone can be found as follows:
volume of a cone = 1 / 3 πr²h
where
r = radius of the coneh = height of the coneTherefore,
r = 6 / 2 = 3 inches
h = 12 inches
volume of a cone = 1 / 3 × 3.14 × 3² × 12
volume of a cone = 1 / 3 × 3.14 × 9 × 12
volume of a cone = 339.12 / 3
volume of a cone = 113.04 inches³
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Tell whether each statement is TRUE or FALSE.
Answer: True, True, True, True, False, False, True, True, True
in recent year, 27.4% of all registered doctors were female. if there were 54,500 female registered doctors that year, what was the total number of registered doctors?
Answer:
324309
doctors were registered that year.
Explanation:
The questions says, "18.1% of all registered doctors are females"
(Consider, total number of registered doctors as
x
)
that's,
18.1
%
of
x
are female.
and
18.1
%
of
x
is
58
,
700
.
Mathematically,
18.1
100
⋅
x
=
58700
x
=
58700
⋅
100
18.1
x
=
324309
doctors were registered that year.
Step-by-step explanation:
Match the following expression to the correct problem
Column A
1. __ thirteen times a number squared
2. __ a number times eleven plus thirty-three
3. __ twelve less than a number
4. __ The quotient of a number and twenty
Column B
A. 11n + 33
B. p ÷ 20
C. y - 12
D. 13b^2
Example: 1. __ D. 13b^2
please help
Hence, in respοnse tο the prοvided questiοn, we can say that functiοn B. The quοtient οf a number and twenty cοrrespοnds tο p ÷ 20.
What is functiοn?Mathematicians research numbers and their variants, equatiοn and related structures, οbjects and their lοcatiοns, and prοspective lοcatiοns fοr these things. The term "mοdule" is used tο describe the cοnnectiοn that exists in between set οf inputs, each οf which has a cοrrespοnding οutput. A functiοn is an input-οutput cοnnectiοn in which each inputs results in sοmething like a single, distinct return.
A dοmain, cοdοmain, οr scοpe is assigned tο each functiοn. Functiοns are usually denοted by the letter f. (x). An x is used fοr entry. On capabilities, οne-tο-οne capabilities, multiple prοwess, in capabilities, and οn capabilities are the fοur majοr types οf accessible functiοns.
D. thirteen times a number squared cοrrespοnds tο 13b².
A. a number times eleven plus thirty-three cοrrespοnds tο 11n + 33.
C. twelve less than a number cοrrespοnds tο y - 12.
B. The quοtient οf a number and twenty cοrrespοnds tο p ÷ 20.
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The data below lists the number of pages Tamara read and the time it took her to read them. Tamara read 25 pages in 36 minutes. Tamara read 48 pages in 63 minutes. Tamara read 52 pages in 74.5 minutes. Determine which table below represents a two-column table for the given data. Pages Time 25 36 48 63 74.5 52 Pages Time 25 36 63 48 52 74.5 Pages Time 36 25 63 48 74.5 52 Pages Time 25 36 48 63 52 74.5
The table that represents the two-column table for the data in this problem is given below.
How to build the two-column table?As the own name of the table states, the two-column table is composed of two-columns.
The table's columns are described as follows:
Left column: input variable.Right column: output variable.The following are the input and output variables for this issue:
Minutes of time are the input variable.
The read-pages variable is an output variable.
The table then has four rows, as seen below:
Time (minutes) Number of pages
25 - 36
63 - 48
74.5 - 52
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This is a table that depicts the two-column table used for the data in this challenge:
Time (minutes) Number of pages
25 - 36
63 - 48
74.5 - 52
How is a two-column table constructed?The two-column table is made up of two columns, as indicated by the table's own name.
The columns of the table have been described as follows:
Input variable is in the left column.
Output variable is in the right column.
The issue's input and output variables are as follows:
The input variable can be described as the number of minutes.
An output variable is the read-pages variable.
The table has four rows after that, as seen below:
Time (minutes) Number of pages
25 - 36
63 - 48
74.5 - 52
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Find the area of the polygon
Answer: 120[tex]m^{2}[/tex]
Step-by-step explanation:
The top part of this polygon is a triangle and the bottom is a rectangle. In this way, we can use the are of a triangle formula and the area of a rectangle formula to find the total area of the polygon.
Area of a triangle:
A = (base * height) / 2
= (6m*8m)/2
= (48m)/2
= 24[tex]m^{2}[/tex]
Area of a rectangle:
A = base * height
= 12m * 8m
= 96[tex]m^{2}[/tex]
Area of the polygon:
A = area of triangle + area of rectangle
= 24m + 96m
= 120[tex]m^{2}[/tex]
Solve $n\div6>2$ . Graph the solution.
The solution to the problem n/6 > 2 is that n must be greater than 12. To graph the solution, you can draw a number line from 0 to 20 and mark 12 with a solid dot.
You can then draw an open dot at 2, indicating that all numbers greater than 12 are included in the solution. This graph shows that all numbers greater than 12, including 12, meet the criteria of the solution.To calculate the solution, you must divide both sides of the equation by 6. This results in the equation n/6 > 2 becoming n > 12. This equation states that n must be greater than 12 in order to satisfy the solution. To check the solution, you can choose any value greater than 12, such as 15, and substitute it into the original equation. When you do this, you get 15/6 > 2. When you simplify this equation, you get 2.5 > 2, which is true, so the solution is verified.
The graph of the solution is a vertical line at x = 12.
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Did i answer this correctlly?
Answer:
Yes-
Step-by-step explanation:
What is the measurement of D? Enter number only for your answer. (hint: two secants)
The answer of the given question based on the measurement of angle ∠D the answer is the measurement of angle ∠D is 40°degrees.
What is Circumference?In mathematics, circumference is distance around edge of a circle. It is the total length of boundary of a circle, and is also referred to as perimeter of a circle. The circumference of circle is proportional to its diameter, which is distance across the circle passing through its center.
The formula for calculating circumference of circle are:
C =πd or C =2πr
where C is circumference, d is diameter of circle, r is radius of circle, and π (pi) is mathematical constant approximately equal to the 3.14159.
The circumference is important measurement in geometry and is used to solve various problems related to circles, like finding area, volume, and surface area of circles, as well as calculating length of arcs and measure of angles formed by intersecting chords, secants, and tangents.
Using the Two Secants Theorem, we can say that:
m∠D = 1/2 (mAB - mAC)
From the given diagram, we can see that mAB = 130° degrees and mAC = 50° degrees.
Therefore,
m∠D = 1/2 (130 - 50) = 1/2 (80) = 40° degrees.
So the measurement of angle D is 40° degrees.
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Boris has two coupons for a jacket.
Coupon A: $14 rebate on a $36 jacket
Coupon B: 30% off of a $36 jacket
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.
O Coupon A gives the lower price.
The price with coupon A is $less than the price with coupon B.
O Coupon B gives the lower price.
The price with coupon B is less than the price with coupon A.
Answer:
coupon A : price : 36-14=22$
coupon B : price : 36*0,7=25,5$
O Coupon A gives the lower price.
The price with coupon A is $less than the price with coupon B.
Step-by-step explanation:
The hua company's radio division currently is purchasing transistors from the xiang co. For p3. 50 each. The total number of transistors needed is 8,000 per month. Hua company's electronics division can produce the transistors for a cost of p4. 00 each. The p4 is made up of p3 in variable costs, and p1 in allocated fixed costs. What should be the range of a possible transfer price?.
The range of a possible transfer price should be p4.00. As it is minimum price required for producing the transistor.
Possible transfer price range:
The possible transfer price range is the range that can be set so that both the companies, the purchasing division (Hua Company's Radio Division) and the producing division (Hua Company's Electronics Division) can gain profit.
Here, the Hua Company's Electronics Division can produce the transistors for a cost of p4.00 each which is made up of p3 in variable costs and p1 in allocated fixed costs.
Hence, the minimum transfer price should be p4.00 which is the minimum cost required for producing the transistor.
Transfer price: A transfer price is the cost that one subsidiary or department of a company charges another subsidiary or department of the same company for goods or services.
It is the amount paid by one unit of an organization for a product or service that is provided by another unit of the same organization.
Variable cost: A variable cost is a cost that changes in relation to the activity of the company.
It is a cost that is dependent on the production of goods or services.
The cost of raw materials, cost of labor and other expenses such as transportation, electricity, etc., are examples of variable costs,
Fixed cost: Allocated fixed cost is the cost that is assigned or allocated to a particular product or service, although it is not directly associated with the production of the product or service.
It is a fixed cost that is not directly related to the production process of the company.
For example, the cost of rent, salary of executives, etc. are examples of allocated fixed costs.
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Calculate the area of the figure below using the following information:
Area of triangle ABC = 31.8 square units
Area of triangle ACD = 39.2 square units
Area of triangle AED = 35.5 square units
Image of irregular pentagon with vertices points A, B, C, D, and E starting at upper left moving clockwise. Two dotted diagonal lines, one connecting vertices A and C, and the second connecting vertices A and D.
The area οf the entire irregular pentagοn is 106.5 square units.
What is a pentagοn shape?A 2D pοlygοn with five sides and five angles is called a pentagοn. “Penta” means “five”, and “gοn” translates tο “angles” in Greek, and hence when we cοmbine bοth wοrds “penta + gοn”, we get the wοrd “pentagοn”.
We can divide the irregular pentagοn intο three triangles by drawing a line frοm pοint A tο pοints C and D, as shοwn in the diagram belοw:
We are given the areas οf these triangles:
Area οf triangle ABC = 31.8 square units
Area οf triangle ACD = 39.2 square units
Area οf triangle AED = 35.5 square units
Tο find the area οf the entire irregular pentagοn, we need tο add up the areas οf these three triangles:
Area οf pentagοn = Area οf triangle ABC + Area οf triangle ACD + Area οf triangle AED
Area οf pentagοn = 31.8 + 39.2 + 35.5
Area οf pentagοn = 106.5 square units
Therefοre, the area οf the entire irregular pentagοn is 106.5 square units.
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Use a half-angle identity to simplify csc² (x/2)
Answer:
Below
Step-by-step explanation:
csc^2 = 1/sin^2
sin ( x/2) = +- sqrt (( 1-cos x)/2) <====half angle identity
so csc^2 (x/2) becomes : 1/ ((1-cos x)/2) = 2/ ( 1-cos x)
3x-y=4
x+y=9
Solve the following linear equation.
Answer:
([tex]\frac{13}{4}[/tex], [tex]\frac{22}{4}[/tex]) or ([tex]3\frac{1}{4}[/tex], [tex]5\frac{1}{2}[/tex]) Same answers just in different forms.
Step-by-step explanation:
Helping in the name of Jesus.
Answer:
x = 3.25
y = 5.75
Step-by-step explanation:
3x - y = 4
x + y = 9
Time the second equation by -3
3x - y = 4
-3x - 3y = -27
-4y = -23
y = 5.75
Now put 5.75 for y and solve for x
3x - 5.75 = 4
3x = 9.75
x = 3.25
Let's check
3(3.25) - 5.75 = 4
9.75 - 5.75 = 4
4 = 4
So, x = 3.25 and y = 5.75 is the correct answer.
A baseball player hits a foul ball vertically off his bat. The ball goes straight up and then falls back down. Just before it hits the ground, the catcher catches the ball.
The height of the ball t seconds after it is struck can be described by the function
s(t)=-16t^2+80 t + 2
Here, the height of the ball above the ground, s, is measured in feet.
Find the function, v(t), that describes the velocity of the ball at time t.
Therefore , the solution of the given problem of function comes out to be the ball's velocity at time t: v(t) = -32t + 80.
What does function actually mean?The topics covered on the midterm exam include architecture, geometry, integers, each divisions, and both real and fictitious geographic places. The relationships between different expression that cooperate to create the same outcome are explained in a work. A utility is composed of numerous unique elements that work together to produce unique outcomes for each input.
Here,
The height function's derivative with regard to time, t, is the ball's speed. So, by taking the derivative of s(t), we can discover the velocity function v(t):
=> v(t) = s'(t) = -32t + 80
As a result, the following function characterises the ball's velocity at time t:
=> v(t) = -32t + 80.
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Please help me answer the question from the photo
Answer:
A
Step-by-step explanation:
as it is a reflection (as in a mirror or in a lake, or ...), the distances from either side of the mirror must be equal.
2) The Louisiana Department of Wildlife and Fisheries cannot provide an exact number of black
bears in the state but estimates the number to be between 700 and 1000. If the exact number of
bears is 850, what is the percent error for the estimated number of black bears in Louisiana?
A)30%
B)3%
C)35%
D)300%
The percent error for the estimated number of black bears in Louisiana is 0%. Answer: 0% (no option is matching with this answer)
what is an algebraic expression?
In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations (such as addition, subtraction, multiplication, and division) that represent a quantity.
To find the percent error, we need to calculate the difference between the estimated value and the actual value, divide that difference by the actual value, and then multiply by 100 to express the result as a percentage.
The estimated value of the number of black bears in Louisiana is the average of the lower and upper estimates, which is:
(700 + 1000) / 2 = 850
The difference between the estimated value and the actual value is:
|850 - 850| = 0
(Note that the absolute value is used to ensure that the difference is positive.)
Dividing this difference by the actual value and multiplying by 100, we get:
(0 / 850) x 100 = 0%
Therefore, the percent error for the estimated number of black bears in Louisiana is 0%.
Answer: 0% (no option is matching with this answer)
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Which of the numbers below are divisible by 5? 70, 125, 261, 1110,38, 260, 590, 2450, 47, 135, 612, 30,765, 60, 420, 6621, 930, 95, 340, 7640, 1600, 88, 632, 1245, 23, 541
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
x + 64 ≤ 120; x ≤ 56
x + 120 ≤ 64; x ≤ –56
x + 64 ≥ 120; x ≥ 56
x + 120 ≥ 64; x ≥ –56
Answer:
Step-by-step explanation:
Let x be the number of cans Xander still needs to collect. Then
x + 64 ≥ 120 (his 64 already collected + the amount still needed
must be at least 120)
So x ≥ 56 (He must collect at least 56 more cans)
1. Given: f(x) = x² - 2x + 4 and g(x) = 2x³-4, find: (f×g)(x)
Answer:To find (f × g)(x), we need to find the product of the two functions f(x) and g(x), which is written as:
(f × g)(x) = f(x) × g(x)
First, let's find g(x):
g(x) = 2x³ - 4
Next, we'll substitute this into the expression for (f × g)(x):
(f × g)(x) = f(x) × g(x)
= (x² - 2x + 4) × (2x³ - 4)
We can simplify this by distributing the terms:
= 2x³ (x² - 2x + 4) - 4 (x² - 2x + 4)
= 2x⁵ - 4x³ + 8x³ - 4x² + 8x - 16
Simplifying further:
(f × g)(x) = 2x⁵ - 4x³ - 4x² + 8x - 16
Therefore, (f × g)(x) = 2x⁵ - 4x³ - 4x² + 8x - 16.
Step-by-step explanation:
Disregard this question please, I forgot to change the amount of points. Will be adding new question with correct amount of points. 63 Points!!! Looking for answers to questions 12-14, all multiple choice. No need to show work. Photo attached. Thank you!
Step-by-step explanation:
12. C.
as we easily see the curve goes through the x-axis (y = 0, that's what is called a "zero") between x = -2 and x = -1.
13. B
a relative minimum is where the curve changes it general tendency coming from above and turns around going back up. no other point in the near neighborhood has a smaller y-value.
14. A
the y-value at x = 1 is about 4.5.
the graph is not symmetric about a line like x = 1, as it did not long look the same left and right of that line.
but if you rotate the graph around (1, 4.5) by 180°, you get the same graph again.
so, it is symmetric about the point (1, 4.5).
the limits are "consisting". if x goes to -infinity (all the way to the left), then y goes to -infinity too. and the same for +infinity.
Need answer to this asap
Answer: y = 5x + 50 if 2≤x≤6
Answer:
y = 5x + 50 if 2≤x≤6
Consider the set of whole numbers from 1 to 10, inclusive. List the numbers that meet the condition: less than seven or odd
The numbers that meet the cοndition: less than seven or odd = 1, 3, 5.
What are numbers?Every aspect οf οur daily lives is related tο numbers, frοm the number οf laps we have dοne οn the track tο the number οf hοurs we slept at night.
In mathematics, a number can be even οr οdd, prime οr cοmpοsite, decimal, fractiοn, ratiοnal οr irratiοnal, natural οr integer, real οr integer, ratiοnal οr irratiοnal, οr any cοmbinatiοn thereοf.
Given :
the set οf whοle numbers frοm 1 tο 10, inclusive.
Lets write all the numbers frοm 1 tο 10 inclusive
The numbers are 1,2,3,4,5,6,7,8,9,10
Nοw we write all the οdd numbers between 1 and 10
1,3,5,7,9
Nοw we lοοk at the numbers less than seven
The numbers greater than 4 and οdd are 1,3,5
List the numbers that meet the cοnditiοn: less than seven οr οdd = 1, 3, 5.
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-10
-8
-6
4
2-
-2-
-4
-6
-8-
b
2
4
-6
8
+X
10
Replace the values of h and k to create the equation of the transformed function.
To transform the function [tex]f(x) = (x+h)^(1/3) - k[/tex] , we can apply different algebraic operations that will modify the function's shape without changing its behavior or meaning. Here are three possible transformations:
What is the use of transform as a function?Horizontal shift: To shift the function horizontally by a distance a, we replace x with [tex](x - a)[/tex] in the equation. This gives us:
[tex]f(x-a) = ((x-a)+h)^(1/3) - k[/tex]
Vertical shift: To shift the function vertically by a distance b, we add b to the equation. This gives us:
[tex]f(x) + b = (x+h)^(1/3) - k + b[/tex]
Horizontal stretch or compression: To stretch or compress the function horizontally by a factor of c, we replace x with (x/c) in the equation. This gives us:
[tex]f(x/c) = ((x/c)+h)^(1/3) - k[/tex]
Therefore, horizontally by a factor of 2, and shift it up by 1 unit, we can apply the following sequence of transformations:
[tex]f((x-2)/2) + 1 = ((x-2)/2 + h)^(1/3) - k + 1[/tex]
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Prof. Salaam has a bad habit of buying Starbucks. Although he is addicted to caffeine, he loves money more. He drinks one Frappuccino every weekday and an 3 on the weekends ($6.50 for a grande). Help Prof. Salaam quit by calculating how much money he spends on coffee every year.
Answer:
585
Step-by-step explanation:
guplyhfpjfyodyfuco
The spray from a spinning lawn sprinkler makes a circle with a 40 foot radius. If Ben and his friends what to play and get wet, how much space do they have? (ENTER NUMBER ONLY)
Therefore, Ben and his friends have approximately 5026.55 square feet of space to play and get wet in. Answer: 5026.55
What is circle?A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a constant distance from a single fixed point called the center. The distance between the center and any point on the circle is called the radius, which is a fixed length for all points on the circle.
A circle is a closed curve and is often represented by the symbol "O". It has several important properties, such as its circumference (the distance around the circle) which is given by the formula C=2πr, where r is the radius, and π (pi) is a mathematical constant approximately equal to 3.14159.
So, the area of the circle covered by the sprinkler is:
A = π *[tex](40)^{2}[/tex] ≈ 5026.55 square feet
Therefore, Ben and his friends have approximately 5026.55 square feet of space to play and get wet in.
Answer: 5026.55
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