[tex]\Large\maltese\underline{\textsf{A. \space What is Asked}}[/tex]
Find the slope of the line that contains the points (-8,-2) and (-17,4)
[tex]\Large\maltese\underline{\textsf{B.\space This problem has been solved!}}[/tex]
If we are given two points, we can easily find the slope of the line that passes through the points. With points (y₂, y₁) and (x₂, x₁), the slope is [tex]\bf{\dfrac{y2-y1}{x2-x1}[/tex].
Similarly, with points (-8,-2) and (-17,4) the slope is.
[tex]\bf{\dfrac{4-(-2)}{-17-(-8)}}[/tex] | as we can see, it is possible to simplify this further
[tex]\bf{\dfrac{4+2}{-17+8}}[/tex] | simplify
[tex]\bf{\dfrac{6}{-9}[/tex] | reduce
[tex]\bf{-\dfrac{2}{3}}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=-\dfrac{2}{3}}[/tex]
[tex]\boxed{\bf{aesthetic\not101}}[/tex]
Using the equation of slope of a line, the slope of the line that have the given coordinates is -2/3
What is the slope of the line?The slope of a line represents the measure of how steep the line is, or the rate at which the line rises or falls as you move along it. It is calculated as the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between any two points on the line.
If you have two points on a line, (x₁, y₁) and (x₂, y₂), the slope (m) can be calculated using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the values into the formula above;
m = 4 - (-2) / -17 - (-8)
m = 4 + 2 / -17 + 8
m = 6 / -9
m = -2/3
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1O less than the quotient of a number c and 13
Answer:
c/13 - 10
Step-by-step explanation:
HELP!! EASY 50 POINTS!!
Select the correct answer. With which set of information can you construct a unique triangle? A. the measurements of all the angles B. the lengths of two sides C. the measurements of two angles D. the lengths of all the sides E. the measurement of one angle
Which list shows all the factors of 24?
A. 1, 2, 3, 4, 6, 8, 12, 24
B. 1, 2, 3, 4, 6, 12, 24
C. 1, 2, 4, 5, 6, 12, 24
D. 1, 2, 4, 6, 12, 24
Answer!!
it would be a
Step-by-step explanation:
f(x) = 7x + 1 - 8
g(x) = -2
Find (f - g)(x).
A. (f-g)(x) = |7x - 5|
B. (f-g)(x) = 7x - 7+2
C. (f-g)(x) = |7x| - 5
D. (f-g)(x) = |7x+1-6
Answer: 7x-5
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)=(7x+1-8)-(-2)=\boxed{7x-5}[/tex]
Answer:
D. (f-g)(x) = |7x+1|-6
Step-by-step explanation:
f(x) = |7x + 1| - 8
g(x) = -2
(f - g)(x) = f(x) - g(x) = |7x + 1| - 8 - (-2)
(f-g)(x) = |7x + 1| - 6
The graph provided show the volume (in cubic inches) of air in a balloon as it chang
over time.
What is the volume of the balloon in cubic inches after 20 seconds?
The volume of the balloon is 500 cubic inches after 20 seconds
How to determine the volume?From the given graph, we have:
Time on the x-axisVolume on the y-axisAlso from the graph, we have:
V(20) = 500
This means that:
The volume of the balloon is 500 cubic inches after 20 seconds
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provide two more examples of relationship patterns found in mathematics and describe the pattern in each case
The examples of relationship patterns found in mathematics are arithmetic sequence and geometric sequence.
How to depict the sequence?It should be noted that an arithmetic sequence has a common difference. An example is given as: 2, 4, 6, 8. There's a common difference of 2.
For the geometric progression, there's a common ratio. A example is 2, 4, 8, 16, 32. Here, there's a cookie ratio of 2 when the numbers are divided.
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Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
Answer:
$4.5
Step-by-step explanation:
We apply sales tax to the total cost, which in this case is $40 + $50 = $90.
Thus, we have 5% * $90 = $4.5
It even works individually if you apply the tax to both orders separately and add them together:
(50 * 5%) + (40 * 5%) = 4.5
2.5 + 2 = 4.5
Find the natural antilogarithm of the given logarithm. 0.0058887
The natural antilogarithm of the given logarithm can be evaluated as; 1.014.
What is the natural antilogarithm of the number?The natural logarithm of the number given in the task content can be evaluated by multiplying by 2.303 as follows;
Natural logarithm value is; 2.303 × 0.0058887
= 0.01356.
On this note, it follows that the natural antilogarithm of the result can be evaluated as;
= 1.014.
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A website reports that 14% of the world's population is Hindi and 33% are Christian. If there are approximately 6,840,507,000 people in the world, how many are Hindi and how many are Christian according to the website?
draw a basic market graph. Title it the market for the product in your news article. Label axes, curves, eqilibruim price and equilibrium quantity
The basic market graph is attached below.
What do you mean by market equilibrium?A market is said to have reached equilibrium price when the supply of goods matches demand.
The equilibrium price is the only price where the plans of consumers and the plans of producers agree, where the amount consumers want to buy of the product, quantity demanded, is equal to the amount producers want to sell, quantity supplied. This common quantity is called the equilibrium quantity.
Quantity of gasoline:
Explanation of graph: The demand curve, D, and the supply curve, S, intersect at the equilibrium point E, with an equilibrium price of 1.4 dollars and an equilibrium quantity of 600.
The equilibrium is the only price where quantity demanded is equal to quantity supplied. At a price above equilibrium, like 1.8 dollars, quantity supplied exceeds the quantity demanded, so there is excess supply.
At a price below equilibrium, such as 1.2 dollars, quantity demanded exceeds quantity supplied, so there is excess demand.
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I NEED ANSWERS QUICK PLS
The total surface area of the cuboid is 143.52 cubic cm
Surface area of a cuboidThe formula for calculating the surface area of a cuboid is expressed as:
SA = 2(lw + wh + lh)
where
l is the length = 7.2cm
w is the width = 3.1cm
h is the height = 4.8cm
Substitute
SA = 2(7.2*3.1 + 7.2*4.8 + 3.1*4.8)
SA = 2(22.32 + 34.56 + 14.88)
SA= 143.52 square cm
Hence the total surface area of the cuboid is 143.52 cubic cm
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In the equation 4x-2=3x+1, what is the value of x with which the expressions 4x-2=3x+1 represent the same number? with everything and multiplications please give crown
[tex]\sf{\qquad\qquad\huge\underline{{\sf Answer}}}[/tex]
An equation is called any equality that contains one or more unknown quantities, which are called unknowns, and that are only generally verified for certain values of the unknowns.
Thus, for example: 4x - 2 = 3x + 1~4x−2=3x+1 is an equation because it is an equality in which there is one unknown, xx .
⇝Equation resolution:
[tex] \qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1
[tex] \qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1[/tex]
We transpose the term 3x to the first member.
3x to the first member.We will have:
[tex] \qquad \sf \dashrightarrow4x - 2 - 3x = 14x−2−3x=1[/tex]
Next we transpose the term -2 to the second member.
We will have:
[tex] \qquad \sf \dashrightarrow4x - 3x = 1 + 24x−3x=1+2[/tex]
[tex] \qquad \sf \dashrightarrow \: x = 3x = 3[/tex]
Let's check that x = 3x=3 satisfies the given equation:
[tex] \qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1[/tex]
[tex] \qquad \sf \dashrightarrow4(3) - 2 = 3(3) + 14(3)−2=3(3)+1[/tex]
[tex] \qquad \sf \dashrightarrow12 - 2 =9+ 112−2=9+1[/tex]
[tex] \qquad \sf \dashrightarrow10 = 10 \: \: \: \: \:10=10[/tex]
That is, 10 = 10, as we wanted to verify.
I hope I've helped : )
Answer:
The value of x is 3
When x = 3 then both the LHS and RHS of the equation equal to the same number; 10.
Step-by-step explanation:
[tex]4x - 2 = 3x + 1 \\ 4x - 3x = 1 + 2 \\ x = 3 \\ [/tex]
When we substitute the value for x in the expression, we see that the expression represents the same number. i.e
[tex]4x - 2 = 3x + 1 \\ 4(3) - 2 = 3(3) + 1 \\ 12 - 2 = 9 + 1 \\10 = 10 \\ [/tex]
simplify (7^5)^3
A. 7^15
B. 35^3
C. 7^8
D. (1/7)^3
Answer:
7^15
Step-by-step explanation:
7^5^3 = 7^(5*3) = 7^15
WORTH 100 POINTS!!!
The indirect proof is unlike the proofs taught during the beginning chapters of geometry. Before you can begin an indirect proof it is important to determine the steps that you will follow. Please put the steps of the indirect proof in the correct order from beginning to end.
1.
2.
3.
4.
5.
1) Identify the statement you want to prove is true
2) Assume temporarily that the statement is false; assume the opposite is true
3) Obtain statements that logically follow from your assumption.
4) Reason logically until you reach a contradiction of a known fact.
5) Point out that your assumption must be false, and the statement must then be true.
Geometry
Exact volume
Answer:
Exact volume: [tex]\frac{30184\pi}{3}[/tex]Approximate volume: 31608.6Step-by-step explanation:
The volume of the cylinder is [tex](\pi)(14^{2})(42)=8232\pi[/tex].
The volume of the hemisphere is [tex]\frac{2}{3}(\pi)(14^{3})=\frac{5488}{3}\pi[/tex].
Adding these together gives the exact volume to be [tex]\frac{30184\pi}{3}[/tex].
To the nearest tenth, this is 31608.6 square feet.
The square of the product of 6 and a number.
The statement, square of the product of 6 and a number can be written as 6x²
Mathematical expressionProduct = multiplication (×)let
x = unknown number
product of 6 and a number= 6 × x
= 6x
square of the product of 6 and a number= 6x²
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If 2 sticks of butter make 36 cookies, how many sticks are you going to need to buy to make 3,000?
Four students in an art class mixed red and blue paint to make purple. The amounts they used are shown in the table. Which student made a different shade of purple than the other students.
Based on the mixtures of the four students in the art class, the student with a different shade of purple would be Aiden.
Why would Aiden's mixture be different?In order to solve this question, look at the ratio of red paint to blue paint for all the students:
Alec:
1¹/₃ : ²/₃
2 : 1
Rosa:
2¹/₂ : 1 ¹/ ₄
2 : 1
Aidan:
4¹/₂ : 2
2.25 : 2
Zoe:
5 : 2¹/₂
2 : 1
Notice that Aidan's mixture is the only one that is different and so will have a different shade of purple as a result.
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Answer:
its aidan
Step-by-step explanation:
edward nolan has room for 28 bedding 1.99
The minimum that Nolan would have to spend is $33.84 while the maximum he has to spend is $35.94
How to solve for the minimum amount10 * 0.84 = 8.4
8 * 1.29 = 10.32
8 * 1.89 = 15.12
The minimum is = 8.4 + 10.32 + 15.12
= 33.84 dollars.
How to solve for the maximum10 * 1.89 = 18.9
8 * 1.29 = 10.32
8 * 0.84 = 6.72
The sum of the maximum is given as 18.9 + 10.32 + 6.72
= $35.94
Complete questionEdward Nolan has room for 26 bedding plants in his garden. He can get pansies for $1.89 each, marigolds for $1.29 each, and zinnias for $0.84 each. He plans to buy 10 of one type and 8 each of the other two types of plants. (a) What is the minimum (in $) Edward will have to spend? $ Incorrect: Your answer is incorrect. (b) What is the maximum (in $) Edward could spend? $ Incorrect: Your answer is incorrect.
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In a plane, if line ℓ is perpendicular to line m and _____, then ℓ ⊥ n.
Answer:
n
Step-by-step explanation:
A student takes a multiple-choice test that has 12 questions. Each question has five choices. The student guesses randomly at each answer. Let X be the number of questions answered correctly.
The probability that the student will answer 5 correct questions is; P(5) = 0.053
How to solve binomial probability problems?The formula for binomial probability is;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
Where;
p = probability of success.
n = number of trials, or the sample size.
x = the number of successes in the probability we are trying to calculate.
Now, we want to find P(5). We are given;
n = 12
x = 5
p = 1/5 = 0.2
Thus;
P(5) = 12C5 * (0.2)⁵ * (1 - 0.2)⁽¹² ⁻ ⁵⁾
P(5) = 0.053
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Find the magnitude of −3i
.
Answer:What is the magnitude of 3i?
3i invested c.
Step-by-step explanation: $182m in Magnitude Software in 2019 to accelerate its global growth ambitions through new product development and investments in sales & marketing, and to build a more integrated enterprise software business.
complete the flow chart to prove
someone pls help me pls pls asap
Vertical angles theorem (top one): [tex]\angle 1 \cong \angle 3[/tex]
Given: [tex]\angle 1 \cong \angle 2[/tex]
Transitive property of congruence: [tex]\angle 3 \cong \angle 4[/tex]
Vertical angles theorem (bottom one): [tex]\angle 2 \cong \angle 4[/tex]
solve for the value of Y.
90=7y+8+8y+7
Answer:
y = 5
Step-by-step explanation:
1) Simplify 7y+8+8y+7 to 15y + 15.
90 = 15y + 15
2) Subtract 15 from both sides.
90 - 15 = 15y
3) Simplify 90 - 15 to 75.
75 = 15y
4) Divide both sides by 15.
75/15 = y
5) Simplify 75/15 to 5.
5 = y
6) Switch sides.
y = 5
According to statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 22. Over the lifetime, how many years will the person spend on each of these activities?
Considering the definition of an equation and the way to solve it, a person will devote 28 years watching TV and 6 years sleeping.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.
To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseBeing "x" the number of years watching TV, and knowing that:
The number of years sleeping will exceed the number of years watching TV by 22.A person will devote 34 years to sleeping and watching TV.the equation in this case is:
x + (x+22) =34
Solving:
x + x =34 -22
2x= 12
x= 12 ÷ 2
x=6
As the number of years sleeping will exceed the number of years watching TV by 22, then x +22= 6 +22= 28 years.
Finally, a person will devote 28 years watching TV and 6 years sleeping.
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A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded monthly for the first five years, and APR of 8 percent compounded monthly thereafter, what is the value of the annuity today?
Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.
What is the present value of the annuity?First, find the present value of the annuity at 5 years:
= 1,850 x present value interest factor of annuity, 60 months, 8/12%
= 1,850 x 49.32
= $91,242
Then find the present value of the annuity from 5 years till date:
= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)
= (1,850 x 44.955) + ( 91,242) / (1 + 1%)⁶⁰)
= $133,349.85
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El alto de una caja "y" mientras que su ancho es "g" pies.
¿Cuál es el perímetro de la caja en pulgadas?
O [(g+y)x 2]
O10[(g+y)x 6]
12[(g+y)x 4]
O 12[(g+y)x 2]
Por definición de perímetro y considerando el cambio de unidades, el perímetro de la caja en pulgadas es 12[(g+y)×2].
Definición de perímetroEl perímetro de un figura geométrica plana se denomina a la longitud de su contorno. El perímetro es, por tanto, una medida de longitud.
En otras palabras, el perímetro de una figura de dos dimensiones es la distancia alrededor de la figura y es el resultado de la suma de los lados de una figura geométrica plana. Por lo que para el cálculo del perímetro es necesario conocer el número de lados de la figura y la longitud de cada uno de esos lados.
Perímetro de una cajaUna caja se puede considerar como una figura que tiene cuatro lados con dos medidas diferentes (alto y ancho).
El alto de la caja es "y" mientras que su ancho es "g" pies, por lo que su perímetro P es calculado como:
P= 2g + 2y= 2×(g+y) pies
Luego, se puede aplicar la siguiente regla de tres para realizar el cambio de unidades a pulgadas: si 1 pies equivale a 12 pulgadas, 2×(g+y) pies equivales a cuantas pulgadas?
[tex]P=\frac{2x(g+y) piesx12 pulgadas }{1 pie}[/tex]
Resolviendo
P= 12[(g+y)×2] pulgadas
Finalmente, el perímetro de la caja en pulgadas es 12[(g+y)×2].
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Solve the inequality.
8(x/4-6)>4
[10 points]
Simplify both sides of the inequality.
2x - 48 ≥ 4Add 48 to both sides.
2x - 48 + 48 ≥ 4 + 482x ≥ 52Divide both sides by 2.
[tex]\bf{\dfrac{2x }{2}\geq \dfrac{52}{2} }[/tex][tex]\bf{x\geq 26 \ \ \to \ \ \ Answer}[/tex]Therefore, the correct option is "D".
{ Pisces04 }Solve the inequality. 8(x/4-6)>4
O A. × ≥ 11
O B. × ≥ 5
O C. × ≥ - 22
∅ D. × ≥ 26
Given 8(×/4-6)>4
then simplify both sides of the inequality
[ 2 × - 48 ≥ 4 ]
Add 48 to both sides
[ 2 × ≥ 52 ]
Devide both sides by 2
[ 2×/2 ≥ 52/2 ] = [ × ≥ 26 ]
CarryOnLearning <(￣︶￣)>
the function f(x)= x1/3 is transformed to get function h. h(x)= (2x)1/3+5 which statements are true about function h
The transformation of a function may involve any change. The function f(x) is vertically stretched and shifted 5 units upwards to form h(x).
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f(\dfrac{x}{k})The function f(x)=x^(1/3) is transformed to form the function of h(x)=(2x)^(1/3)+5. Therefore, the transformation made to the function is,
Vertically stretched by a factor of 2^(1/3) ⇒ 2^(1/3) × x^(1/3) = (2x)^(1/3)
Up by 5 units ⇒ (2x)^(1/3) + 5
Hence, the function f(x) is vertically stretched and shifted 5 units upwards to form h(x).
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Simplify.
(2 + 8i) + (3 + 8i)
Answer:
Step-by-step explanation:
5+16i
Answer:
5 + 16i
Step-by-step explanation:
(2 + 8i) + (3 + 8i)
• Collect the like terms:
2 + 3 + 8i + 8i
⇒ 5 + 16i