The Equation representing the following inequality will be 2x + 8 < -18
In the given question, it is stated that a number is 8 more than twice a number that is less than -18.
Let the number be x.
The twice of a number = 2x
A number eight more than twice a number = 2x +8
With the following statements, we get the Number = (2x+8). Also, we have a condition that this new number is lesser than -18. So we get our equation,
=> 2x + 8 < -18
Hence, This 2x + 8 < -18 represents the inequality mentioned in the question stating that a two number is created in which it is lesser than -18.
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Determine the sum. Write your answer in scientific notation. 4.4 × 10^4 + 12.3 × 10^4 = ? options:
A. 16.7 × 10^8
B. 1.67 × 10^5
C. –7.9 × 10^4
D. 54.12 × 10^4
Answer:
D...................
Answer:
IT B Because 1.67x10^8 Is 167
And 4.4 × 10^4 + 12.3 × 10^4 = 167
Let's do This 4.4 × 10^4 is 440
And 12.3 × 10^4 is 123
and u put 1,67x10^4
1 go to 167
6 go to 167
7 go to 167
so your answer is B 1.67 × 10^5
Step-by-step explanation:
Is -4 – -8 positive or negative?
Answer:
positive
Step-by-step explanation:
because that's how math works
A firm is expected to pay a dividend of $2.55 next year and $2.70 the following year. Financial analysts believe the stock will be at their price target of $40 in two years. Compute the value of this stock with a required return of 12.5 percent. (Round your answer to 2 decimal places.)
The required return rate is 12.5%. The value of the stock is calculated by discounting the future dividends and the price target back to the present value that is $36.0153
To compute the value of the stock, we can use the formula for the dividend discount model:
Value of Stock = Dividend / \((1 + Required Return Rate)^n\) + Dividend / \((1 + Required Return Rate)^{(n+1)}\) + Price Target / \((1 + Required Return Rate)^{(n+2)}\)
In this case, the dividends are $2.55 and $2.70, the required return rate is 12.5%, and the price target is $40. The dividends are discounted back to the present value using the required return rate, and the price target is discounted back two years. By plugging in the values into the formula and calculating, we can find the value of the stock.
Using the given values, the value of the stock with a required return of 12.5% is calculated as follows:
Value of Stock = $2.55 /\((1 + 0.125)^1\) + $2.70 / \((1 + 0.125)^2\) + $40 /\((1 + 0.125)^2\)
Value of Stock ≈ $36.0153
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Solve each system
7) 8x-y=3
y=-8x - 3
Please help
Answer:
i cant answer this because of my school computer but its simple
Step-by-step explanation:
Answer: x & y
0 & -3
1 & 5
slope : 8
y intercept : -3
Consider the given integral
∫(S(t + 2) - 28 (4t)) dt
Find the numerical value of the integral.
Without the specific function form of S(t) and the values of C1 and C2, we cannot determine the numerical value of the integral.
To find the numerical value of the given integral:
∫(S(t + 2) - 28(4t)) dt
We need to know the function S(t) in order to evaluate the integral. The variable S(t) represents a function that is missing from the given expression. Without knowing the specific form of S(t), we cannot determine the numerical value of the integral.
However, if we assume S(t) to be a constant, let's say S, the integral simplifies to:
∫(S(t + 2) - 28(4t)) dt = S∫(t + 2) dt - 28∫(4t) dt
Applying the power rule for integration, we have:
∫(t + 2) dt = (1/2)t^2 + 2t + C1
∫(4t) dt = 2t^2 + C2
Substituting these results back into the integral:
S∫(t + 2) dt - 28∫(4t) dt = S((1/2)t^2 + 2t + C1) - 28(2t^2 + C2)
We can simplify further by multiplying S through the terms:
(S/2)t^2 + 2St + SC1 - 56t^2 - 28C2
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Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3, 6)
у:
The equation of the straight line would be -
y = 2x.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a straight line passes through the points (2, 4) and (3, 6).
We can write the slope as -
m = (6 - 4)/(3 - 2)
m = 2/1
m = 2
For the point (2, 4), we can write -
y = 2x + c
c = 4 - 4
c = 0
Therefore, the equation of the straight line would be -
y = 2x.
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Hayley eats oatmeal for
breakfast every day. She
checked her pantry this
morning, and realized that she
had only 1/5 of a cup of instant
oatmeal and 4/5 of a cup of
old-fashioned oatmeal. How
much oatmeal did Hayley have
in her pantry?
Answer:
1 cup
Step-by-step explanation:
1/5 + 4/5 = 5/5 = 1 cup
Math Do Now: Maria has a coupon for 30% at Kohl's. If she purchases $200 worth
of clothes, what is her total before taxes? *
- Christina finished 5-8 of her dinner. Did she finish more than 1-2 of her dinner? Explain.
Christina finished 5/8 of her dinner.
Did she finish more than 1/2 of her dinner?
Explain.
Solution
Yes, she finished more than 1/2 of her dinner, because
5/ 8 = 0.625 is greater than 1/ 2 = 0. 5
More Explanation
5/ 8 in decimal = 0 . 625
1/ 2 in decimal = 0 . 5
Comparing the two: 0.625 ( 5/ 8 ) is greater than 0. 5 ( 1/ 2 )
Help with slope pleaseee
^^
Explain how you would solve this problem, then solve it. (-4)³
Explanation:
We have to multiply -4 by itself 3 times: (-4)³ = (-4)x(-4)x(-4)
The first time we'll have a positive number, because the product of two negative numbers is a positive number:
\((-4)\times(-4)=4\times4=16\)Now we just have to solve 16x(-4). The result will be a negative number, because the product between a positive and a negative number is negative:
\(16\times(-4)=-(16\times4)=-64\)Answer:
(-4)³ = -64
WILL GIVE BRAINLESS
A four-digit number is to be made using the digits 1, 3, 5, and 8.
How many numbers can be made if repeated digits are allowed?
Answer:
Since each digit can be repeated, there are 4 options for each digit.
Therefore, the total number of possible four-digit numbers that can be made using the digits 1, 3, 5, and 8 with repeated digits is:
4 x 4 x 4 x 4 = 256
An airplane flies 370 miles from point A to point B with a bearing of 24" . It then flies 240 miles from point B to point € with a bearing 0f 37" Draw diagram of the information. Then find the distance from point A to point C and the bearing from point A to point C
The distance from point A to point C and the bearing from point A to point C is 229.5 miles.
Given that:
AB = 370 miles
angle A = 24 degrees
BC = 240 miles
angle B = 37 degrees
To determine the distance from point A to C, we can use the cosine law since we are given two angles and two sides of a regular triangle.
The angle opposite side AC is angle B which is equal to 37 degrees.
(AC)^2 =(AB)^2 + (BC)^2 - 2(AB)(BC)cos(B)
Now we have to solve for AC:
(AC)^2 =(370)^2 + (240)^2 - 2(370)(240)cos(37)
AC = 229.48 miles.
Hence the answer is, the distance from point A to point C and the bearing from point A to point C is 229.5 miles.
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F(n)=−11+22(n−1), left parenthesis, n, right parenthesis, equals, minus, 11, plus, 22, left parenthesis, n, minus, 1, right parenthesis Complete the recursive formula of f(n), left parenthesis, n, right parenthesis.
Answer:
\(a_1 = -11\\\\a_n = a_{(n - 1)} + 22\)
Step-by-step explanation:
An arithmetic sequence is generally given as:
f(n) = a + (n - 1)d
where a = first term and f(n) = nth term, d = common difference
The explicit formula given is:
f(n) = 11 + 22(n - 1)
The recursive formula is made of two statements, the first term and the formula showing how successive terms are related.
Mathematically, it is given as:
\(a_1 = a\\\\a_n = a_{(n - 1)} + d\)
Therefore, the recursive formula is:
\(a_1 = -11\\\\a_n = a_{(n - 1)} + 22\)
Answer:
The actual answer is g(1)=1
g(n)=g(n−1)+5
Step-by-step explanation:
Simplify to create an equivalent expression.
3
�
+
2
(
−
2
�
−
1
)
3n+2(−2n−1)
Answer:
C. \(-n - 2\)
Step-by-step explanation:
Given expression is \(3n+2(-2n-1)\)
Now we need to simplify \(3n+2(-2n-1)\) to create an equivalent expression then match with correct choice from the given choices:
A. \(-n + 2\)
B. \(n + 2\)
C. \(-n - 2\)
D. \(n - 2\)
\(3n+2(-2n-1)\)
\(=3n+2(-2n-1)\)
\(=3n+-4n-2\)
\(=-n-2\)
Hence correct choice is C. \(\bold{-n - 2}\)
Charlie has a box that is In the shape of a rectangular prism its height is twice the length its length is three times the width in the word measures 4 inches what is the volume of the box the volume of the box is
Answer:
1152 in ^ 3
Step-by-step explanation:
We know that the width is:
w = 4 in
They also tell us that the length is three times the width, therefore:
l = 3 * w
l = 3 * 4 = 12
l = 12 in
and as for the height, they tell us that it is twice the length, so:
h = 2 * l
h = 2 * 12 = 24
h = 24 in
now the volume is w * l * h, replacing:
v = 4 * 12 * 24
v = 1152
volume equals 1152 in ^ 3
Which of the following is true with respect to use of the linear regression model to accommodate non-linear relationships? Select all correct answers.
-The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s).
-Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s).
-Polynomial regression is one method for incorporating non-linear associations in a linear model.
The linear regression model can be extended to accommodate certain forms of non-linear relationships between the response and predictor(s). Polynomial regression is one specific method for incorporating non-linear associations within the linear regression framework.
It involves understanding the flexibility of the linear regression model and the techniques available to address non-linear relationships. While the linear regression model assumes a linear relationship between the response variable and predictors, it can still be useful in accommodating certain types of non-linear relationships.
By applying appropriate transformations to the predictor variables, such as taking their squares, logarithms, or other non-linear functions, we can introduce non-linear associations into the linear regression model. This allows the model to capture curvature or other non-linear patterns in the data.
Polynomial regression is a specific approach to incorporating non-linear relationships within the linear regression framework. It involves adding polynomial terms of the predictor variables to the model, such as squared or cubed terms. By including these polynomial terms, the model can account for non-linear relationships and capture more complex patterns.
It's important to note that while linear regression can be extended to accommodate some non-linear relationships, there may be cases where more advanced non-linear regression techniques or alternative models are necessary to adequately capture complex non-linear associations. Nonetheless, the inclusion of transformed predictor variables and the use of polynomial regression are valuable approaches to address non-linear relationships within the linear regression framework.
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14. 2 Adding Equations
What did Diego do to solve the system?
Diego is solving this system of equations:
4x + 3y = 10
4x + 5y = 6
Here is his work
4x + 3y = 10
-4x + 5y = 6 +
0+ 8y = 16
4x + 3(2) = 10
4x + 6 = 10
4x = 4
x=1
y = 2
Diego is applying the elimination method to solve the system and it is proved that his work is correct, that x = 1 and y = 2.
The elimination method is a technique used to solve linear equations. When using this method, we either add or subtract the equations to result in one variable equation.
In Diego's work, he added the two equations to eliminate the variable x and get the value of the variable y. As he knew the value of y, he applied this value to the equation to get the value of variable x.
To decide whether his work is correct, we can test it by applying the value of x and y to the equation:
4x + 3y = 10
4.1 + 3.2 = 10
4 + 6 = 10 ⇒ correct
-4x + 5y = 6
-4.1 + 5.2 = 6
-4 + 10 = 6 ⇒ correct
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Read the excerpt from The Monsters Are Due on Maple Street.
56. TRACK SHOT – STEVE 56.
From several yards down as he walks down the steps of his porch, walks down the street over to Les Goodman's house and then stops at the foot of the steps.
57. REVERSE ANGLE – LOOKING TOWARD SCREEN DOOR 57.
Goodman stands there, his wife behind him very frightened.
GOODMAN
Just stay right where you are, Steve. We don't want any trouble but this time if anybody sets foot on my porch that's what they're going to get—trouble!
Based on Goodman’s reaction to Steve, what will most likely happen next?
Les and Steve will have a heated argument.
Everyone in the neighborhood will go home.
The anger and fear among the neighbors will increase.
Les will turn out to be an alien invader in disguise.
Answer:
C. the anger among the neighbors will increase
Step-by-step explanation:
i got 100 on my quiz
Answer:
C) The anger and fear among the neighbors will increase
Step-by-step explanation:
Based on the evidence in the excerpt, what will most likely happen next. A) The crowd will turn against Steve, believing he is an alien in disguise.Which of the excerpts from The Monsters Are Due on Maple Street is an example of foreshadowing? A)“Where is Pete Van Horn anyway? Didn't he get back yet?”Which of the excerpts from The Monsters Are Due on Maple Street best foreshadows that the residents of Maple Street will turn against Les Goodman? B)“He always was an odd ball. Him and his whole family. Real odd ball.”Based on Goodman’s reaction to Steve, what will most likely happen next? C) The anger and fear among the neighbors will increase.Based on Steve’s actions in the first part of The Monsters Are Due on Maple Street, readers may have predicted that Steve would continue being the town’s leader during the power outage. How should readers revise this prediction after Don asks Steve about his radio? C)Readers should now predict that Steve will no longer be in charge.Which excerpt from The Monsters Are Due on Maple Street best foreshadows the idea that the residents of Maple Street are becoming a dangerous mob? A) The crowd picks this up again and with it their suspicions come back with a rush. The murmur becomes a loud chant filling the air with accusations and demands for action. Two of the men pass Don right up the steps. Goodman flattens himself against the screen door.The writer of this excerpt uses D)indirect characterization to show that Les Goodman is nervous.What do Don’s words suggest about him? C)Don is suspicious of Les Goodman.What do Steve’s reactions to Mrs. Goodman and Charlie show the reader about Steve? D) Steve is sensible and unafraid.How does Woman One’s claim about Les Goodman affect other elements in the story? B)The neighbors become even more suspicious of Les Goodman.If the end of a week is 7 days but after the 7th day its the weekend so wouldnt 7.99 days would be a week?
Answer:
The end of the 7th day of a week would be Sunday.
Monday-1st FULL day
Tuesdau-2nd FULL day
on so on
Therefore, it would not be 7.99 days and instead a full ONE day
hopefully this makes some sense
A mobile virtual reality (vr) headset is being sold at a local department store for $33.75. this is the cost function associated with the headsets, where x represents the number of headsets manufactured and sold: c(x) = 28.15x 355. how many vr headsets does the store need to sell to break even?
a. 83
b. 64
c. 35
d. 11
VR headsets does the store need to sell to break even is 64 (option B).
To find the number of VR headsets the store needs to sell to break even, we need to find the value of x that makes the cost function equal to the revenue function.
The cost function is given by c(x) = 28.15x + 355, and the revenue function is given by r(x) = 33.75x.
To find the value of x that makes the cost function equal to the revenue function, we can set the cost function equal to the revenue function and solve for x: 28.15x + 355 = 33.75x
5.6x = -355
x = -63
Since the number of VR headsets cannot be negative, the store needs to sell at least 64 VR headsets to break even.
Therefore, the number of VR headsets does the store need to sell to break even is 64 (option B).
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can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs
The following statements are true:
Segment DEF is parallel to ABC
The line segment AB is parallel to DE
Line FC is parallel to AD
the line that is skewed to DE is BC
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)
Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;
DEF is parallel to ABC
CADF is parallel to CBEF
For the lines, the lines that are parallel to each other are:
AD is parallel to BE
AB is parallel to DE
FC is parallel to AD
Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC
The missing image is attached with the answer below.
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Pls solve with all steps
The results of the expressions involving logarithms are listed below:
Case 1: 1 / 2
Case 2:
Subcase a: 0
Subcase b: 11 / 2
Subcase c: - 11 / 2
How to simplify and evaluate expressions involving logarithmsIn this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:
㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c
㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c
㏒ₐ cᵇ = b · ㏒ₐ c
Now we proceed to determine the result of each case:
Case 1
㏒ ∛8 / ㏒ 4
(1 / 3) · ㏒ 8 / ㏒ 2²
(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)
㏒ 2 / (2 · ㏒ 2)
1 / 2
Case 2:
Subcase a
㏒ [b / (100 · a · c)]
㏒ b - ㏒ (100 · a · c)
㏒ b - ㏒ 100 - ㏒ a - ㏒ c
3 - 2 - 2 + 1
0
Subcase b
㏒√[(a³ · b) / c²]
(1 / 2) · ㏒ [(a³ · b) / c²]
(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²
(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c
(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c
(3 / 2) · 2 + (1 / 2) · 3 + 1
3 + 3 / 2 + 1
11 / 2
Subcase c
㏒ [(2 · a · √b) / (5 · c)]⁻¹
- ㏒ [(2 · a · √b) / (5 · c)]
- ㏒ (2 · a · √b) + ㏒ (5 · c)
- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c
- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c
- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c
- 1 - 2 - (1 / 2) · 3 - 1
- 4 - 3 / 2
- 11 / 2
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find X=
I have 15 minutes please help.
Answer:
x=5
Step-by-step explanation:
Exterior angles are always equal to the sum of the remote interior angles! All you have to do is set up an equation :) Hope this helps!
19x-18=7x+1+10x-9
simplify
19x-18=17x+-8
solve!
2x=10
x=5
Step-by-step explanation:
Refer to attachment.
Hope it helps :)
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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Write an inequality that
represents the graph below.
50 51 52 53 54 55 56 57 58 59
The required inequality represented by the number line is 54≤x<58
What is number line?A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
here, we have,
Number line and graph
From the given number line, you can see that the circle is on the 53 value and closed. The closed circle shows that the inequality sign will contain the equal sign.
For the direction of arrow, the direction is towards the positive side of the number line showing that the required inequality is:
54≤x<58.
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a convention manager finds that she has $1320, made up of twenties and fifties. she has a total of 48 bills. how many fifty-dollar bills does the manager have?
The required manager has 12 fifty-dollar bills as of the given condition.
Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".
We know that the convention manager has a total of 48 bills, so:
x + y = 48
We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320
To solve for "y", we can rearrange the first equation to get:
y = 48 - x
Then substitute this expression for "y" in the second equation:
20x + 50(48 - x) = 1320
Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36
So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:
x + y = 48
36 + y = 48
y = 12
Therefore, the manager has 12 fifty-dollar bills.
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I bought a pack of 100 rectangular index cards. Each card measured 15 cm by 10 cm. The pack said: paper density=200gsm (grams per square metre). This means that a square metre of these cards weighs 200 g.
All the cards in the pack are placed flat on a table without overlap. In square metres, what is the total area of the table covered by the cards?
Answer:
15,000cm^2
Step-by-step explanation:
Given data
Dimension of a card
Length= 15cm
Widht= 10cm
Area= 15*10= 150cm^2
Now if 1 card covers area of 150cm^2
the 100 cards will cover x
cross multiply
x= 150*100
x= 15,000cm^2
Hence the total area covered is 15,000cm^2
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
If BE is a perpendicular bisector of AD, which statement is true?
A) AC=CD
B) BD=ED
C) CE=BC
Answer: A
Step-by-step explanation: The distance from A to C and C to D is equal
Causes of variation that can be identified and eliminated are called what?
The causes of variation that can be identified and eliminated are called; Assignable Causes.
What are the causes of Variation?There are two primary causes of variation in the quality of a product or process. These two primary causes are called;
Common causes.Assignable causes.Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.
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