The common difference will be equal to 3.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression. A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
Given that the data for the arithmetic sequence is a₁= -10, an = 26, Sn = 80, and the total number is n = 13.
The common difference will be calculated as,
an = a₁ + d ( n - 1 )
26 = -10 + d ( 13 - 1 )
d = 36 / 12
d = 3
Hence, for the arithmetic progression, the common difference is 3.
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Problem Set Calculate the area of each shape below. Figures are not drawn to scale.
5.5 in. 14.4 in. 1 3.3 in. 6.1 in.
Area, A, is x times y. Rectangle: 5.5 in x 14.4 in = 77.2 [tex]in^{2}[/tex]
Triangle: (1/2) x 3.3 in x 6.1 in = 9.945 [tex]in^{2}[/tex]
How do you determine the real area?The area of a form is the measurement of its surface. To calculate the area of a rectangle or square, multiply the length and breadth of the rectangle or square. A is equal to x times y. To summarize, scale drawings share a proportionality constant, ‘k,’ which explains the connection between similar lengths in the scaled picture and the original. The scaled area may be calculated by multiplying the original area by the square of ‘k’.
Actual cash value (ACV) is a method of determining the worth of your commercial property that is being repaired or replaced due to covered damage. ACV is calculated by deducting depreciation from the replacement cost value of an item.
The shape is a rectangular prism, which has three dimensions - length, width, and height. The length is 5.5 inches, the width is 14.4 inches, and the height is 3.3 inches. To calculate the area of this shape, we need to calculate the area of all six faces.
The area of the two side faces (length x height): 5.5 in x 3.3 in = 18.15 [tex]in^{2}[/tex]
The area of the top face (length x width): 5.5 in x 14.4 in = 78.8 [tex]in^{2}[/tex]
The area of the bottom face (length x width): 5.5 in x 14.4 in = 78.8 [tex]in^{2}[/tex].
The area of the front and back faces (width x height): 14.4 in x 3.3 in = 47.52 [tex]in^{2}[/tex]
The total area of the rectangular prism is 18.15 [tex]in^{2}[/tex] + 78.8 [tex]in^{2}[/tex] + 78.8 [tex]in^{2}[/tex] + 47.52 [tex]in^{2}[/tex] = 223.35 [tex]in^{2}[/tex]
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The weekly investment report shows each company stock with its high bid low bid closing bid prices and the net change from last week’s closing bid what is the average net change for all five companies listed 
To find the average net change for all five companies listed in the weekly investment report, you would add up the net change for each company:
What is math average?
In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
(+0.38 + +0.14 + -0.09 + +0.09 + +0.08) = +0.60
Then divide that number by the total number of companies, in this case 5:
+0.60 / 5 = +0.12
The average net change for all five companies listed is +0.12.
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Solve for w.
2w−5(w+1)=3w+1
Answer: w=-1
Step-by-step explanation:
This year, a company produced 32 percent more items than last year. If the company produced 396 items this year, how many items did the company produce last year?
Answer:
Last year they earned 269.28
i dont understand, i need help
The given information to prove that EG = FH is explained below.
Parts of a line segment.A line segment is a given line which has two end points. The line can be divided into a number of fractions so that by simple addition and subtraction operations, the value of series of length can be determined.
Thus in the given question, line EH is a line segment which consists of other fractions of line segments.
To use the given information to prove that EG = FH, we have;
STATEMENT REASON
1. EF = GH Given
2. FG = FG Equality property of a line segment
3. EH = EF + FG + GH Addition property of a line segment
4. EG = EF + FG Addition property of a line segment
5. FH = FG + GH Addition property of a line segment
6. EG = FH Congruent property of similar segment
Therefore, EG = FH
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Which could be the function graphed below?
On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.
A function which could be the function graphed above "On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right" is: D. f(x) = √(x + 4).
What is a quadrant?In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.
This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:
Quadrant IQuadrant IIQuadrant IIIQuadrant IVNext, we would use an online graphing calculator to plot the given functions in order to determine the function that was graphed, which we can logically deduce is f(x) = √(x + 4).
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Complete Question:
Which could be the function graphed below?
On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.
f(x) = √(x - 5) + 1
f(x) = √(x - 2)
f(x) = √x
f(x) = √(x + 4)
A shipping container will be used to transport several 100-kilogram crates
across the country by rail. The greatest weight that can be loaded into the
container is 27500 kilograms. Other shipments weighing 7200 kilograms
have already been loaded into the container. Which inequality can be used to
determine c, the greatest number of 100-kilogram crates that can be loaded onto the shipping container?
O 27500 < 7200 + 100c
O 100(c+7200) ≤ 27500
100(c + 7200) ≥ 27500
7200 + 100c< 27500
Answer: 7200 + 100c < 27500
Step-by-step explanation:
27500 kilograms is the maximum weight that the container can hold; the limit
7200 kilograms are said to have been loaded already
We want to find how many 100 kilogram crates (c) can still be loaded with the already loaded 7200 kilograms
The amount of 100 kilogram crates is c plus the previous added amount of 7200 kilograms has to be less than 27500 kilograms because that is the maximum amount of weight the shipping container can hold.
I need help with this
Answer:
1.
a) A score that is 6 points above the mean corresponds to a z-score of (6 / 12) = 0.5.
b) A score that is 18 points below the mean corresponds to a z-score of (-18 / 12) = -1.5.
2.
a) To find the score that represents the 75th percentile for the raw scores, we can use the standard normal table or the Z-table. Since the raw scores form a normal distribution with a mean of 50 and a standard deviation of 4, we can standardize the scores to find the corresponding z-score.
The 75th percentile corresponds to a z-score of 0.67 (by using the standard normal table or the Z-table).
So the raw score that represents the 75th percentile is (0.67 * 4) + 50 = 52.68
Note: Percentile rank is a way to describe the relative standing of a value within a distribution, it's the percentage of values that are equal to or below the value in question.
Find the value of b in each parallelogram. Then find each side length or
angle measure.
Please :)
The lengths of sides are 20 and 12.3.
The measure of angles are 128 and 55.
What are Properties of Parallelogram?The opposite sides are parallel and equal.The opposite angles are equal.The consecutive or adjacent angles are supplementary.Given:
5. As, the opposite sides of the parallelogram are equal.
b+ 14.5 = 20.5
b = 20.5 - 14.5
b = 6
and, the lengths are: b+ 14.5 = 6 + 14.5 = 20 and 3b-6.3 = 18- 6.3 = 12.3
6. Now, the adjacent angle in parallelogram are supplementary
8s + 5 + 3s + 10 = 180
11s + 15 = 180
11s = 165
s = 15
So, the angles are:
8s + 5= 8(15)+ 8= 128 and 3s+10 = 3(15)+10 = 55
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On a standardized exam, the scores are normally distributed with a mean of 140 and a standard deviation of 40. Find the z-score of a person who scored 48 on the exam
Answer: The z-score, also known as the standard score, is a measure of how many standard deviations an individual's score is from the mean. To calculate the z-score, we can use the following formula:
z-score = (x - μ) / σ
Where x is the individual's score, μ is the mean, and σ is the standard deviation.
In this case, the mean is 140, the standard deviation is 40, and the individual's score is 48. So, we can plug these values into the formula:
z-score = (48 - 140) / 40
z-score = -3
So, the person who scored 48 on the exam has a z-score of -3 which means the score is 3 standard deviation below the mean.
Step-by-step explanation:
Answer:-2
Step-by-step explanation: i put in -3 DM said it was wrong. its -2
Select all the expressions with a value of less than one. I WILL GIVE YOU BRAINLIEST FOR ANSWERING QUICKLY & CORRECTLY!
a. x^0
b. (-15)^0
c. -(15)^0
d. -(15^0)
e. -(0.23)^0
Answer:
all answers are equal to 1.
any number to the zero power is one because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
In the line plot above,How many of the students made eight free throw?
A-9
B-4
C-10
D-2
2. What made Kim gasp? Why? “They don’t mean it”
since they are unfamiliar with American society. She believes Mary's father was impolite because he failed to extend a greeting to the visitors.
what is range ?The variable's range is calculated by determining its maximum observed value and deducting its minimum observed value (minimum). Possible range or variational bounds: different pricing for steel; different designs; The breadth or scope of a process or action: insight a weapon's projectile's maximum or anticipated range. A list or set's range is the number between its lowest and maximum. Aligning all the numbers will help you find the region. The lowest number should then be subtracted from the greatest number. The solution includes the list's possible values. The list's range is provided in the solution.
given
since they are unfamiliar with American society.
She believes Mary's father was impolite because he failed to extend a greeting to the visitors.
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The complete question is " Why does Kim gasp and stare at Mary's father and mother?"
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of acts on a certain object, the acceleration of the object is 4/ms2 . If the force is changed to 15n , what will be the acceleration of the object?
Step-by-step explanation:
Given that for a moving object force acting on the object varies directly with the object's acceleration. If F be the force and a be the acceleration, then ;
[tex]\implies \rm F \propto a\\ [/tex]
[tex]\implies \rm F = ka \dots (1)\\ [/tex]
Initially, let force be F and the acceleration is 4m/s² .So
[tex]\implies \rm F = k (4) \\ [/tex]
If the force is increased 15 times then ,
[tex]\implies \rm 15F = k a \dots (2) \\ [/tex]
Divide (1) and (2) ,
[tex]\implies \rm \dfrac{F}{15F}=\dfrac{k(4)}{k(a)}\\ [/tex]
simplify,
[tex]\implies \rm \frac{1}{15}=\frac{4}{a}\\[/tex]
[tex]\implies \rm a = \dfrac{4}{15} m/s^2[/tex]
And we are done!
-Rishabh
Estimate the cost of marble tiles which would be requried for your room
Depends on where you stay. Here it costs something around ₹400 - ₹500 per square foot.
PLEASE HELP AHH TYY 1. Manzanita berries look like little apples. Manzanita juice is sold in cylindrical cans. A typical can of manzanita juice has a height of 4.9 inches and diameter of 2.6 inches. Find the surface area of the can. Use 3.14 for π. Use the formula for surface area of a cylinder, А 2πг² + 2лrh.
r= radius h=height.
50.62 square inches is the surface area of a cylinder
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that Manzanita berries look like little apples. Manzanita juice is sold in cylindrical cans.
A typical can of manzanita juice has a height of 4.9 inches and diameter of 2.6 inches.
We need to find the surface area of the can.
Height of can = 4.9 inches
Diameter =2.6 inches
Radius=2.6/2=1.3
Surface area=2πг² + 2лrh.
=2πг(r+h)
=2×3.14×1.3×(1.3+4.9)
=8.164(6.2)
=50.62 square inches
Hence, 50.62 square inches is the surface area of a cylinder
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1
_=_=_
4. Pls fill in the blank space plssssssssssss I need helpppoo sos!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
step by step explanation
A family buys 4 airline tickets online. The family buys travel insurance that costs $18 per ticket. The total cost is $752. Let x represent the price of one ticket.
\What equation represents this problem?
What is the price of one ticket?
Anil’s age is a factor of 48. Seven years ago, his age was a multiple of 5. What is Anil’s age now?
On solving the provided question, we can say that Anil’s age is a factor of 48; prime factors of 48 = 1,2,3,4,6,12,24, => anil's age = 48 +7 = 55
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
Anil’s age is a factor of 48.
prime factors of 48 = 1,2,3,4,6,12,24,
anil's age = 48 +7 = 55
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Which inequality matches the graph?
y ≥ 5
•y≤ 5
0y>5
°y<5
The inequality that matches the graph is y ≥ 5.
What is inequality?Inequality is a term used to describe the unequal distribution of resources or opportunities among members of a society. It is a state of being where people are not treated with equal rights and access to resources and services. Inequality can manifest itself in various forms, such as income inequality, gender inequality, racial inequality, or educational inequality. Inequality is a social issue that has been present throughout history and continues to exist in many countries today. It can lead to a variety of negative consequences, ranging from poverty, social unrest, and violence to discrimination and exclusion. The issue of inequality is a complex one and requires a multi-faceted solution that incorporates economic, social, and political initiatives.
This is because the graph shows a line that is greater than or equal to 5 on the y-axis. The line does not fall below 5, indicating that the inequality is y ≥ 5.
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The figure above shows a right triangle with dimensions in centimeters. If θ=42∘, what is the length of x to the nearest centimeter? Do not include the units in your answer.
The value of x in the right triangle is 41 cm.
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the sides of a right triangle can be found using trigonometric ratios as follows:
let's find the side length x of the right triangle.
cos 42° = adjacent / hypotenuse
where
adjacent side = x
hypotenuse side = 55 cm
Therefore,
cos 42° = x / 55
cross multiply
x = 55 cos 42°
x = 55 × 0.74314482547
x = 40.8729654013
Therefore,
x ≈ 41 cm
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please help ill give brainliest
Answer: I think that it is 125.
Is 4.2x-12=0.7y-12 a direct proportionality
The given expression is a directly proportional expression.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
Given expression,
4.2x-12=0.7y-12
Adding 12 on both sides
4.2x = 0.7y
Divide by 0.7 on both sides
y = 6x
Thus, the given expression is a directly proportional expression.
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Need help solving this equation
The length of the line segment GI is 31 units.
How to find the length of a line segment?The length of GI is 5x + 1. The actual length of the line segment GI can be found as follows:
Therefore,
GH + HI = GI
GH = x + 10
HI = 3x - 3
GI = 5x + 1
Therefore,
GI = x + 10 + 3x - 3
5x + 1 = x + 10 + 3x - 3
5x + 1 = 4x + 10 - 3
5x + 1 = 4x + 7
5x - 4x = 7 - 1
x = 6
Therefore,
GI = 5x + 1 = 5(6) + 1 = 30 + 1 = 31 units
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PLEASE HELP
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Use the rubric linked above for help if needed.
Use the equation -10 + 6(h - 8) = -4(2h + 3)
to answer Parts A, B, and C below.
Part A: What property can be used to eliminate the parentheses in the equation?
Part B: Solve the equation. Show all work.
Part C: Verify the solution. Show all work.
The distributive property can be used to eliminate the parentheses in the equation.
The value of h in the equation -10 + 6(h - 8) = -4(2h + 3) is 3.29.
How to calculate the value?To use the distributive property, we would first multiply the -4 and 2h inside the first set of parentheses, and -4 and 3 inside the second set of parentheses.
-10 + 6(h - 8) = -4(2h + 3)
-10 + 6h - 48 = -8h - 12
Collect the like terms
6h + 8h = -12 + 10 + 48
14h = 46
h = 46 / 14
h = 3.29
The value of h is 9.
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Answer:
-10 + 6(h - 8) = -4(2h + 3)
-10 + 6h - 48 = -8h - 12
Collect the like terms
6h + 8h = -12 + 10 + 48
14h = 46
h = 46 / 14
h = 3.29
Step-by-step explanation:
the velocity of an object projected vertically upward with an initial velocity of 64 ft per second is given by v=64-32t, where t is time in seconds. When does the object reach its maximum height ?
When the vertical component of velocity is equal to zero, an object's maximum height in a projectile trajectory occurs.
How do you know when an object reaches its maximum height?h = v 0 y 2 2 g . The maximum height a projectile can reach above its launch site is defined by this equation, which only depends on the vertical component of the starting velocity.
The object's highest vertical separation from the horizontal plane along its journey is its maximum height.
The vertex form of a parabola is y = f(x) = a(x-h)2 + k, where h, k are the coordinates of the parabola's vertex, or the general equation y = f(x) = ax2 + bx + c.
The vertex formula is h = - b/2a k = f, and it can be used to get the vertex of a parabola (h)
The parabola is concave up (down) if a 0 (a 0), reaching its minimum (highest) value at the vertex.
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y = -x^4 + 25x³ - 150x²
graph
Answer:
Step-by-step explanation:
i thing its 125
Write a function rule that models the amount I spend on my car per month. Use the variables c (for cost) and m (for months). Do not use spaces in your answer.
The function rule that models the amount I spend on my car per month is 299m.
The total cost after the full term of the lease will be c = 2500 + 299m
How to calculate the function?From the information given, it should be noted that it was stated that in order to lease the car, the person put $2500 down and then paid $299 per month
The function rule that models the amount I spend on my car per month is:
= 299 × m
= 299m.
The total cost after the full term of the lease will be:
= 2500 + (299 × m)
= 2500 + 299m
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AVERY WANTS TO ADD THESE NUMBERS. SHOW AN EFFICIENT STRATEGY TO HELP HER GET THE CORRECT ANSWER. 22+ 35+ 38 + 25
2nd grade math
Answer:
Step-by-step explanation:
Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and
d are integers.
1. x² + 2x 15 = (ax + b)(cx + d)
2. 2x³ + 6x² 20x = 2x(ax + b)(cx + d)
3.9x² +21x + 6 = (ax + b)(cx + d)
Fill in the table with the missing values of a, b, c, and d.
Therefore , the solution of the given problem of polynomials comes out to be (a, b, c, d) = (1, -5, 1, 3) , (2, -12, 1, 3) and (4, 2, 1, 2).
Polynomials are what?A polynomial is a mathematical expression that solely uses additions, erasures, multiplications, and powers of positive integer variables. It is composed of coefficients and uncertainty. A single uncertain x polynomial is indicated by the expression x2 4x + 7. In mathematics, a polynomial is a mathematical equation made up of variables and factors that can be added, subtracted, duplicated, and raised to negatives integer powers.
Here,
Given :
Factors can obviously be stated in any sequence.
There are thus various responses to this question.
1. x² -2x -15
=> (x -5)(x +3)
(a, b, c, d) = (1, -5, 1, 3)
2. 2x² -6x -36
= > 2(x² -3x -18)
=> 2(x -6)(x +3)
(a, b, c, d) = (2, -12, 1, 3)
3. 4x² +10x +4
=> 2(2x² +5x +2)
=> 2(2x +1)(x +2)
(a, b, c, d) = (4, 2, 1, 2)
Therefore , the solution of the given problem of polynomials comes out to be (a, b, c, d) = (1, -5, 1, 3) , (2, -12, 1, 3) and (4, 2, 1, 2).
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