Answer:
(x+3)(x–8)
Step-by-step explanation:
Normally you will always write factors in this form: (variable + smallest number)(variable – largest number)
Correct form: (x+2)(x–8)
Incorrect form: (x–2)(x+8)
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the tuition at a certain college was $29,694 last year and increased 5.6% from last year to the current year. how much is this year's tuition?
the tuition at a certain college was $29,694 last year
Intial Tution fees of college = $29,694
increased 5.6% from last year to the current year
i.e. Increased fees amonut = 5.6% of intial fees
So, tution of college at present year is : Intial Tution fees of college+ 5.6% of intial fees
[tex]\begin{gathered} \text{Tution f}ees\text{ of college at present year = 29694+5.6\% of 29694} \\ \text{Tution f}ees\text{ of college at present year }=29694+\frac{5.6\times29694}{100} \\ \text{Tution f}ees\text{ of college at present year }=29694+1662.864 \\ \text{Tution f}ees\text{ of college at present year }=31356.864 \end{gathered}[/tex]So, This year tution fees is $31356.864
In the nearest dollars it will be: $31357
Kelsey starts with $150 in her account and she adds $25 a month. Kyle starts with $200 in his account and adds $20 a month to his account. Write an equation/inequality to show when Kelsey will have more money than Kyle.
Let x represents the number of months it will take Kelsey to have more money than Kyle.
Given that Kelsey starts with $150 in her account and she adds $25 a month, it means that the amount that he would have saved after x months is
150 + 25 *x
= 150 + 25x
Given that Kyle starts with $200 in his account and adds $20 a month to his account, it means that the amount that he would have saved after x months is
200 + 20 *x
= 200 + 20x
For Kelsey to have more money than Kyle, the inequality would be
150 + 25x > 200 + 20x
25x - 20x > 200 - 150
5x > 50
How much simple interest does $2,560 earn in 17 months at a rate of 1*1/8 Round to the nearest cent.
The simple interest of the $2,560 earned in 17 months at a rate of 1*1/8 will be; $185.90
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of the principal amount, rate, and period.
The formula for simple interest is:
Simple Interest = (Principal × Rate × Time) / 100
Where I am interested
P ⇒ amount deposited.
R ⇒ interest rate
T ⇒ period for investing
Given that the time is 17 months = 17/12 years
1 and 1/8 = 1.125
I = 2,560 ×17/12 × 1.125/100
= 2560 × 17/12 × 0.01125
= $185.86667
The simple interest of the $2,560 earned in 17 months at a rate of 1*1/8 will be; $185.90
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The student council at Baker High School is planning a dance. The table shows their budget. What is the student council’s expected profit?
Item. Funds raised. Expenses
Dance tickets. $400
DJ fuze. -250
Decorations. -125
The student council’s expected profit as per given budget is equal to $25.
As given in the question,
Budget decided by the student council at Baker High School while planning a dance.
Total expenses on the items used for the dance
DJ fuze. : $250
Decorations. : $125
Total expenses done by student council for dance
= $( 250 +125)
=$375
Total funds raised by dance performance is equal to
Dance tickets. $400
Total revenue =$400
Revenue >Expenses
Student council’s expected profit= $(400 -375)
= $25
Therefore, the student council’s expected profit as per given budget is equal to $25.
The complete question is:
The student council at Baker High School is planning a dance. The table shows their budget. What is the student council’s expected profit?
Funds raised:
Dance tickets : $400
Expenses:
DJ fuze. : $250
Decoration : $125
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pick a game of chance using cards or dice and a certain outcome in that game, (such as a large straight in yahtzee, or a four of a kind in poker). explain how many ways the outcome could happen and the total number of different hands or rolls there are in that game, and show the probability of your chosen outcome.
Yahtzee is a game of chance like dice or poker. The numbers of ways the outcomes ( straight rolling ) is 240 .
Probability of hitting a large straight is 240 / 7776 = 1/32
Yahtzee is the one of dice game that uses five standard six-sided dice. After rolling each die, the player can decide which die to keep and which to reroll. Goals include many different types of combinations, many of which originate from poker.
The two types of combinations that players must roll are called roads: small roads and large roads. Similar to poker straights, these combinations consist of consecutive dice. A small straight uses 4 out of the 5 dice and a large straight uses all 5 dice. Since the dice rolls are random, we can use probability to analyze the likelihood of hitting large straight on a single roll. Assumes that the dice used are fair and independent of each other. Now, you need to know how many ways you can roll a big/ large straight. Here it is more difficult than calculating the sample size. Big straights are harder to roll than small straights, but it’s easier to count the number of times you’ve rolled a big straight than the number of times you’ve rolled a small straight.
Next, determine the number of ways to get a straight by rolling the given dice. To get a nice straight with dice {1, 2, 3, 4, 5}, you can arrange the dice in any order. It turns out that you just swap the five dice. There are 5! = 120 ways to do this. There are two dice combinations that form the large Straight, each with 120 ways to roll, so there are 2 x 120 = 240 ways to roll the large Straight.
Now the probability of hitting a big/ large straight can be calculated with simple division. Since there are 240 ways to get the big straight in one roll, and 7776 rolls 5 dice, the odds of getting the big straight are 240/7776, close to 1/32, and lie 3.1%.
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(
5
h
3
−
8
h
)
+
(
−
2
h
3
−
h
2
−
2
h
)
Answer: -3h
Step-by-step explanation:
( 5h + 3 - 8h ) + ( -2h x 3 - h x 3 - 2h )
( 15h - 8h ) + ( -6h - 2h - 2h )
15h - 8h - 6h - 2h - 2h
-3h
nouOR
36, 27,
81
4'
Find the 10th term.
Submit Answer
Answer:
177
Step-by-step explanation:
Answer: a_10 = 177147/65536. Write the general term through the pattern:: a_n = 36 3/4 n - 1 Substitute and calculate:: a_10 = 177.
Pls help asap I’ll give brainliest
Firstly multiplication operation will be performed and the value on simplification will be -7.
The expression will be solved based on the sequence in order of operations. In the mentioned expression, parenthesis and exponents are not there. Thus, firstly we will multiply the values followed by division. Then we will perform addition and subtraction (PEMDAS).
Performing multiplication first -
Value = 27 ÷ 27 - 8
Performing division at second step -
Value = 1 - 8
We are left with subtraction, so performing it -
Value = -7
Therefore, firstly multiplication will be performed and the value is -7.
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give an example of a rational function that has a horizontal asymptote at y=3
An example of a rational function is y = (3x²+7x+4)/(x²+3x+2) which has a horizontal asymptote at y = 3.
To give it a horizontal asymptote of y = 3, we require the degrees in the numerator and denominator to be and the lead coefficient ratio to be 1.
Yet, in producing the hole, we need to have the rest of the function, disregarding the (x + 1)'s, = 1 when x = -1 to ensure the y-value of the hole is at + 1. When we add all of this together, we get.
y = (3(x+1)(x+k))/((x+1)(x+2)) and the last condition requires k = + 4/3, so
By distributing the 3 in the numerator to the 2nd linear component, we get.
y = (3(x+1)(x+4/3))/((x+1)(x+2))
y = ((x+1)(3x+4))/((x+1)(x+2))
y = (3x²+7x+4)/(x²+3x+2)
Thus, the example of a rational function is y = (3x²+7x+4)/(x²+3x+2) which has a horizontal asymptote at y = 3.
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Determine the range of the following graph: Please help!!!!! I need an answer asap
The range of the function shown on the graph above is: -10 ≤ y ≤ 3.
What is a range?A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values (real numbers), which are shown on the y-axis of a graph.
How to identify the range of this graph?The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown, the range of this graph in interval notation can be rewritten as follows:
Range = [-10, 3]
Range = -10 ≤ y ≤ 3.
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PLEASE HELP!! THANK YOU
is (3,1) a solution of the equation y= -x + 3
Answer:
Yes
Step-by-step explanation:
This is the correct answer good job!
1. Few months ago, Frank purchase stock for
$6, 150. Last week he sold the stock for. $8,250.
what was his gross capital gain?
Frank's gross capital gain was $2,100.
What is gross capital gain?
the discrepancy between the overall cost base of your asset and your capital gains. Your share of the capital gain - If more than one person owns this asset, your share of the gain is equal to the percentage of the asset that you personally hold.
You want the gross capital gain resulting from selling a stock purchased for $6,150 and sold for $8,250.
Capital Gain
The capital gain resulting from the sale is the difference between the selling price and the purchase price:
gain = selling price - purchase price
gain = $8,250 -6,150
gain = $2,100
Frank's gross capital gain was $2,100.
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Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
= 6; = 2
P(5 ≤ x ≤ 9) =
The probability P(5 ≤ x ≤ 9) is 0.6847
Assume that x has a normal distribution
We have been the mean and standard deviation μ = 6; σ = 2.
To calculate this probability we use the standardized normal distribution and the z-value for 5 and 9.
z = (5 - 6)/2
= -0.5
and z = (9 - 6)/2
= 1.5
Then the probability is calculated as:
P(x ≤ 5) = 0.3085
P(x ≤ 9) = 0.9932
P(5 ≤ x ≤ 9) = 0.9932 - 0.3085
P(5 ≤ x ≤ 9) = 0.6847
Therefore, the probability P(5 ≤ x ≤ 9) is 0.6847
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(30 points) need answer asap
Answer:
x=38
Step-by-step explanation:
The are supplementary. This is because the 2 lines are parallel and the corresponding angle to 2x-15 is supplementary. And because corresponding angles are congruent 2x-15 and 3x+5 are supplementary.
2x-15+3x+5=180
5x-10=180
5x=190
x=38
- Nathaniel Barnes obtained a single-
payment loan of $1,200 to purchase a
computer. He agreed to repay the loan in
120 days at an ordinary interest rate of 7%.
What is the maturity value of his loan?
Answer: 1.25
Step-by-step explanation: Divide 1,200 in 7 days and the aswer is 1.25
Which is a formula that can be used to find the area of one triangular section of the door? How do you know the formula work?
A formula that can be used to find the area of one triangular section of the door is; (1/2) * Area 0f rectangle
How to find the Area of the triangle?
From the attachment, we can say let us;
Denote the Length as L
The width as w.
Area of a triangle is given by the formula;
A = 1/2 * base * height
The area of the rectangle is:
A = Length * Width
From the attachment, we can see that the rectangle is divided into two equal triangular sections.
This implies that, the area of one of the triangular sections is half the area of the rectangle. Thus;
Area of Triangle = (1/2) * Area 0f rectangle
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What is the
domain?
Ahh someone give me the answer plsss
Answer:
0≤x≤|R
Step-by-step explanation:
I'm not really sure but I think the domain is all positive real numbers including zero
1. PET CARE You buy a 6.3-pound bag of dry cat food
for your cat. The function c = 6.3-0.25p represents
the amount of cat food c remaining in the bag when
the cat is fed the same amount each day for p days.
Find the zero of this function. Describe what this
value means in this context.
The zero of the function is 25.6 and it means that the total number of days is 25.6
How to find and interpret the zero of the function?From the question, the equation of the function is given as
c = 6.4 - 0.25p
The zero of this function is when the function equals 0
This is represented as
c = 0
Substitute c = 0 in c = 6.4 - 0.25p
So, we have
6.4 - 0.25p = 0
The above equation becomes
0.25p = 6.4
Divide both sides by 0.25
p = 25.6
So, the zero is 25.6 and it represents that the total number of days
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Solve the system of linear equations using the substitution method.
5x - 2y = 3 and y = 2x
A. (3, 6)
B. (1, 4)
C. (1, 6)
D. (1, 9)
Answer:
the answer is A. (3,6)
Step-by-step explanation:
5x - 2y = 3
5x - 2(2x) = 3
5x - 4x = 3
x = 3
y = 2x
y = 2(3)
y = 6
a pyramid has an isosceles , triangle base with sides 25,25 and 48 units . the height of the pyramid is 30 units . calculate The volume of the pyramid
A pyramid has an isosceles triangle base with sides of 25,25 and 48 units.
The height of the pyramid is 30 units. The volume of the pyramid is 13What is the volume?We have a pyramid with four sides and a square base. Two-thirds of the pyramid's sides make up its height. The volume of a pyramid is 1, and we need to determine which of them matches our volume. Third, multiplying the length by the width gives us our base's area, which is s times s, or s square.This tells us that our base's height is equal to two-thirds of its side because it is a square base.
That makes it 2 to times s, or 2 s over 3. So we incorporate that into our equations next. We have a volume that is equal to 1/s squared / 2 / s spanning 3 points.Therefore, a pyramid has an isosceles triangle base with sides of 25,25, and 48 units.
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flagpole of height 5 meters is tied to the ground by a 7 meter cable. How far from the base of the flagpole is the cable tied
We know that
• The height is 5 meters.
,• The cable is 7 meters long.
Using the given information, we can represent the situation with a diagram.
In the diagram above you can observe that the x is a leg of the right triangle. So, we have to use Pythagorean's Theorem to find x.
[tex]7^2=5^2+x^2[/tex]Then, we solve for x.
[tex]\begin{gathered} 49=25+x^2 \\ x^2=49-25 \\ x^2=24 \\ x=\sqrt[]{24} \\ x\approx4.9 \end{gathered}[/tex]Hence, the base of the flagpole is 4.9 meters from the cable, approximately.find the sum of the measure of the angle of a three sided polygon
The sum of the interior angles of a polygon is given by the formula:
Sum = (n - 2)180
where n is the number of sides of the polygon
Since the polygon is a three-sided polygon, n = 3
Sum = (3 - 2)180
Sum = 1 x 180
Sum = 180
One person paints 1/4, one 1/3 and one 1/5. When they’re done 15m is unpainted, what is the total length?
Show your calculation
The total length of the wall that the individuals have to paint is 69 3/13 m.
What is the total length?The first step is to add the fractions of the wall painted by the three people together. Addition is the mathematical operation that is used to determine the sum of two or more numbers.
Sum of the fractions:
[tex]\frac{1}{4} + \frac{1}{3} + \frac{1}{5}[/tex]
[tex]\frac{15 + 20 + 12}{60}[/tex] = [tex]\frac{47}{60}[/tex]
The fraction of the wall that has not been painted = 1 - [tex]\frac{47}{60}[/tex] = [tex]\frac{13}{60}[/tex]
13/60 of the wall = 15m
13/60 x w = 15
w = 15 ÷ 13/60
w = 15 x 60 /13 = 69 3/13 m
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Please Help Please ASAP
The graph of the inequality y < 1 - 3x is in the attachment below.
How to Graph an Inequality?Given the inequality, y < 1 - 3x, we need to determine if the line of the inequality graph will be dashed or solid, the slope (m) of the line, and the y-intercept (b).
The slope (m) of the inequality y < 1 - 3x is -3. This means the line would be a declining line where the rise/run = -3.
The y-intercept (b) of the inequality y < 1 - 3x is 1. This means the line would intercept the y-axis at y = 1.
The boundary line of the inequality graph for y < 1 - 3x would be a dashed line because of the inequality sign "<". It also means the shaded part would be below the boundary line, because, the inequality sign, "<" means the the values are not included.
The graph that will represent the inequality given is the image attached below.
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Please help ASAP, will mark brainliest!
Type SSS, SAS, ASA, AAS, or HL to justify why triangle ABC is congruent to triangle FBD.
Answer:
ASA
Step-by-step explanation:
Answer:
ASA
Step-by-step explanation:
Use the following image to complete the sentences describing the ratio of spots to eyes.
A ladybug with 2 eyes and 6 spots.
A ladybug with 2 eyes and 6 spots.
There are 6 spots for every
eyes.
There are
spots for every 1 eye.
Using ratios, the sentences are completes as follows:
There are 6 spots for every 2 eyes.There are 3 spots for every 1 eye.What is the ratio between two amounts?The ratio between two amounts a and b is given by the division of a by b, as follows:
r = a/b.
Between two amounts b and a, the ratio is given by the division of b by a, as follows:
r = b/a.
This means that the ratio between two amounts is not commutative, meaning that the order of the amounts matters.
A ladybug with 2 eyes and 6 spots, hence the first sentence is given as follows:
There are 6 spots for every 2 eyes. (ratio is the number of eyes for 6 spots).
The number of spots per eye is the ratio of the number of spots and the number of eyes, as follows:
Spots per eye = 6 spots/2 eyes = 3 spots per 1 eye.
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What is 2 5/8 as a equivalent percent
2 5/8 as an equivalent percent is 262.50%.
What is the percent?Percentage is the rate of a number expressed as fraction out of 100. Percentage is a measure of frequency. The sign that represents percentage is %. In order to change a number to a percentage, multiply the number by 100.
A mixed number is a non-integer that is made up of a whole number and a proper fraction. A proper fraction is a fraction where the numerator is less than the denominator. An example of a mixed number is 2 5/8
In order to convert the mixed number to percentage, multiply it by 100:
2 5/8 x 100
21/8 x 100 = 262.50%
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the volumes of soda in quart soda bottles can be described by a normal distribution with a mean of 32.3 ounces and a standard deviation of 8.8 ounces. (a) what proportion of bottles will have a volume more than 32 ounces? 0.5136 correct: your answer is correct. (4 decimal places) (b) what is the 85th percentile for this distribution? 23.18 incorrect: your answer is incorrect. (2 decimal places)
a)The percentage of bottles expected to have a volume more than 32 oz is 33.60%
b) 85% of 0.3360 is 0.2856
a) The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz
b=8.8 oz
Let S be the volume of randomly selected soda bottles
Y-score: S-a/b
For S=32 oz
Substitute the values of S,a and b into the equation
Y=32-32.3/8.8
Y= - 0.0341
Probability of bottles that have a volume more than 32 oz is
P(S>32)=P(Y>-0.0341)= 0.3360
Percentage of bottles that have volume more than 32 oz will be
0.3360×100%=33.60%
b) 85% of 0.3360 is 0.2856
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Complete the equation
-67-?=0
Is it 67
yes or no and why?
no it is not 67 becuase if you subtract -67-67 it will equal -134
it is -67 bc -67- -67=0
ind the intersection of the three sets: A = {–4, 3, 10}, B = {3, 6, 10, 15}, C = {–4, 10, 20}.
{–4, 10}
{–4, 3, 6, 10, 15, 20}
{10}
{–4, 3, 10}
The intersection of the A, B and C sets is { 10}