Answer:
(x+8)(x-9)
Step-by-step explanation:
1. Use the sum-product pattern
x²-x-72
x²+8x-9x-72
2. Find the common factor from the 2 pairs
x²+8x-9x-72
x(x+8)-9(x+8)
3. Rewrite in factored form
x(x+8)-9(x+8)
(x-9)(x+8)
Solution to problem: (x-9)(x+8)
What is the equation of the line in slope-intercept form?
Answer:
4x+3y=12
Step-by-step explanation:
y=mx+b
m=-4/3,b=4
y=mx+b
y=-4/3x+4
3(y=-4/3x+4)
3y=-4x+12
4x+3y=12
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If x=-3 and y =2 , then x^y +xy^=?
Answer:
[tex]\frac{73}{8}[/tex]
If u mean that x^y+y^x then the above answer is correct. You can more simplify it in decimals if you want.
Find the Length of X , please show how you found your answer
The length of the x is 4.8 units
In the given figure
There is one circle and 2 chords
The chord of the circle is defined as the line segment joining any two points one the circumference of the circle
There are two chords in the figure, those are BD and AC
We know that
DE × EB = AE × EC
This is the rule of chords in the circle
The length of DE = 10 units
The length of EB = x units
The length of AE = 6 units
The length of EC = 8 units
Substitute the values in the equation
10 × x = 6 × 8
10x = 48
x = 48/10
x = 4.8 units
Hence, the length of the x is 4.8 units
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A cell phone provider offers a plan that costs 40$ per month plus 0.10$ per text message sent or received. A comparable plan costs 50$ per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same,
enter your response here text messages would have to be sent or received.
(Simplify your answer. Type an integer or a decimal.)
answer:
100 text messages.
$50-$40 = $10
$10/$0.1 = 100
100 text messages
you are taking out candies one by one from a jar that has 10 red candies, 20 blue candies, and 30 green candies in it. what is the probability that there are at least 1 blue candy and 1 green candy left in the jar when you have taken out all the red candies?
The required probability that there are at least 1 blue candy and 1 green candy left in the jar when you have taken out all the red candies is 7/12 .
Probability is defined as the ratio of total numbers of outcomes of an event to the favouable outcomes of an event.
We have , Red candies in the jar = 10
green canides in the jar = 30
blue candies in the jar = 20
total number of candies in jar = 60 i.e total number of outcomes = 60
The Probability that the last of sixty candies drawn is one of thirty green candies = 30/60 = 1/2
Ignoring green canides, probability that the last of the thirty other candies drawn is one of twenty blue = 20/30 = 2/3
The Probability that the last of sixty candies drawn is one of twenty blue candies = 20/60 = 1/3
The Probability that the last of sixty candies drawn is not one of twenty blue candies = 1 - 1/3
= 2/3
Probability that last draw would be blue and the last not blue would be green = 20/60 × 30/40
= 1/4 ----(1)
Probability that last draw would be green and the last not green would be blue = 30/60× 20/30
= 1/3 ------(2)
Now , Required probability that last draw would be either blue or green canidy = sum of above probabilty from equation (1)and (2)
= 1/4 + 1/3 = 7/12
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Find x if AC= 17, BD = 2x - 6, AD= x + 16, and BC = 6
Answer:
Hey, hope it helps my friend
Step-by-step explanation:
In the image
The average mass of a man is 84 kg and of a woman is 70 kg
a lift can safely carry 620 kg
work out the maximum number of people the lift can safely carry
The maximum number of people the lift can safely carry is 8 people.
Given that, the average mass of a man is 84 kg and of a woman is 70 kg.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Now, average = (84+72)/2
= 156/2
= 78
Let the number of people in the left be n.
So, 78n≤620
Divide 78 to both the sides of the inequality
78n/78≤620/78
⇒ n≤7.9
⇒ n≤8
Therefore, the maximum number of people the lift can safely carry is 8 people.
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A shelf and bracket are shown below. The shelf is
perpendicular to the wall.
Note: The figure is not drawn to scale.
What angle (x), in degrees, does the bracket make
with the wall?
Using the concept of the sine function, the bracket made an angle of 51.37° with the wall.
What is a sine function?The sine of an angle is represented by the trigonometric function sin x, where x is the angle under consideration. The ratio between a right-angled triangle's perpendicular and the hypotenuse is known as the sine function. In other words, the hypotenuse is the ratio of the side opposite to the angle being discussed, and its value changes as the angle do. The sine function is used in physics to depict sound and light waves.
Use the trigonometric function sinθ = perpendicular/ hypotenuse
From the given figure, in accordance with ∠x
Perpendicular = 2.5 ft
Hypotenuse = 3.2 ft
So, sinx = 2.5/ 3.2
sinx = 0.78125
x = sin⁻¹(0.78125)
x = 51.37°
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By the triangle sum theorem, the sum of the angles in a triangle is equal to Response area. Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=64°.
The required measure of the angle is m∠A=64°.
orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
,
Here,
Angles are represented by an algebraic expression, and the sum of the angle is 180°.
According to the question,
m∠A+m∠B+m∠C=180°
Substitute the value in the equation,
4x+90°+x+10=180°
5x = 180 - 100
5x = 80
x = 16°
Thus, the required measure of the angle is m∠A=64°.
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The tape diagram shows that there are 90 teeth on a comb.
Teeth
90
Complete the table to show different percentages of the teeth on the comb.
90
100%
Percentage
% of 90 teeth
% of 90 teeth
The asked percentages are given as
1. 90 is 100% of 90.
2. 9 is 10% of 90.
3. 27 is 30% of 90.
Explain percentage.A percentage is a particular number or fraction in every hundred. The denominator of the fraction is 100, and it is represented by the symbol "%."
The purpose of percentage calculations is to determine the percentage of a whole in terms of 100. A percentage can be determined using one of two methods:
Through the unitary approach.By making 100 the new denominator of the fraction.It should be noted that when the denominator is not a power of 100, the second technique of percentage computation is not used.
Given, a comb has 90 teeth.
1. Find out what percentage of 90 is 90 now.
Let the percentage be x,
(x/100) × 90 = 90
x = (90 × 100)/90
x = 100 %
2. Now, find what percent of 90 is 9.
Let the percentage be x,
(x/100) × 90 = 9
x= (9 × 100)/ 90
x = 10%
3. Now, find what percent of 90 is 27.
Let the percentage be x,
(x/100) × 90 = 27
x= (27 × 100)/ 90
x = 30%
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Find the diagonal of a rectangle with sides 7 in and 24 in
You can use the hypotenuse formula, e.g., from the Pythagorean theorem calculator, to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w², and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √ (l² + w²).
Can someone help Solve for x.
If Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years, how much does Tristan pay interest
The amount of Interest Tristan pays is $955.2
Given:
Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.
we are asked to determine the interest Tristan pays for it:
we know:
P = $4000
r = 7.4%
t = 3 years.
Evaluate :
I = 4000(1+7.4%)³ - 4000
I = 4000(1+0.074)³ - 4000
I = 4000(1.074)³ - 4000
I = 4000(1.2388) - 4000
I = 4955.2 - 4000
I = 955.2
Hence we get the required interest as $955.2
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(jk−1)÷j when j=−4 and k=−0.9
The numerical value of the expression ( jk−1 )÷j when j=−4 and k=−0.9 is -0.65.
What is the numerical value of the given expression?Given the expression in the question;
( jk − 1 ) ÷ jj = -4k = -0.9To determine the numerical value of the expression, plug in the values of j and k and then simplify.
( jk − 1 ) ÷ j
Plug in j = -4 and k = -0.9
( jk − 1 ) ÷ j
( (-4 × -0.9) − 1 ) ÷ (-4)
Simplify
( 3.6 − 1 ) ÷ (-4)
( 2.6 ) ÷ (-4)
-0.65
Therefore, the value of the expression is -0.65.
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4) Simplify the expression and identify any restrictions on x.
Answer:
6X/X^2-2X+1
Step-by-step explanation:
x
2
−3x+2
9x
2
+18x
÷
2x−4
3x
2
+3x−6
Divide
x
2
−3x+2
9x
2
+18x
by
2x−4
3x
2
+3x−6
by multiplying
x
2
−3x+2
9x
2
+18x
by the reciprocal of
2x−4
3x
2
+3x−6
.
(x
2
−3x+2)(3x
2
+3x−6)
(9x
2
+18x)(2x−4)
Factor the expressions that are not already factored.
3(x−2)(x+2)(x−1)
2
2×9x(x−2)(x+2)
Cancel out 3(x−2)(x+2) in both numerator and denominator.
(x−1)
2
2×3x
Expand the expression.
x
2
−2x+1
6x
a data analyst is using statistical measures to get a better understanding of their data. what function can they use to determine how strongly related are two of the variables?
The correlation coefficient can be used to get a better understanding and to determine the extent of a strong relation between two variables.
In a statistical setting, two or more variables are said to be connected if their values fluctuate in such a way that as the value of one variable rise or falls, the value of the other variable does the same (although it may be in the opposite direction).
For instance, there is a relationship between the two variables "hours worked" and "revenue earned" if a rise in hours worked is correlated with an increase in income earned. When considering the two factors "price" and "purchasing power," the ability of a person to purchase items reduces as the price of those goods rises (assuming a constant income).
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1. Which is an example of an experiment? (1 point)
OA company asks its website users to rate its new features to navigate the site.
O Researchers working for a company test their new sneaker design to see if it helps athletes run faster.
OA scientist watches a group of local birds to see what type of tree they prefer to make their nests in.
An ice cream company asks people to identify their top three ice cream flavors.
An example of experiment is B. Researchers working for a company test their new sneaker design to see if it helps athletes run faster.
What is an experiment?An experiment simply means a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. It should be noted that experiments provide insight into cause-and-effect as they demonstrate what outcome occurs when a particular factor is manipulated
Experiments have a vital place in the development of science because experiments are used to test the reality of a thought, an axiom, or a phenomenon with a theoretical basis and to turn it into a law or a theorem.
In this case, testing the new sneakers is an experiment.
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Scott will purchase a new computer on an installment plan. The computer costs $2,300 and requires a 15% down payment.
a.) How much is the down payment?
The value of the down payment for the car is $345.
How to calculate the.dow payment?From the information, Scott will purchase a new computer on an installment plan and the computer costs $2,300 and requires a 15% down payment.
The value of the down payment will be:
= Down payment percentage × Total cost
= 15% × $2300
= 0.15 × $2300
= $345
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What is the value of x, given that the two pyramids are similar?
OA. 8
OB. 18
O C. 6
D. 24
8
8
6
24
24
The value of x is 18 which is option B.
Given:
Two pyramids are similar.
if two figures are similar then the ratio of their sides are equal.
So, 24/8 = x/6
24*6 = 8*x
144 = 8x
divide by 8 on both sides
8x/8 = 144/8
x = 144/8
x = 18.
Therefore the value of x is 18 which is option B.
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which are the solutions of x2= -5x +8
what is the perimeter of a square if it's area is 81mm ²
Answer:
36 mm
Step-by-step explanation:
from the area we find the side by taking the square root, having found the side we multiply it by 4 and we have the perimeter, we can solve it with a simple expression that summarizes what I wrote
4√81 =
4 × 9 =
36 mm
An athlete ran a total of 1,500 kilometer in race before retiring. The athlete finihed thirty-two 15-kilometer race. The ret were 10-kilometer race. How many of the race were 10-kilometer race?
The number of races that were 10-kilometer long is 102.
An athlete ran a total of 1,500 kilometers in a race before retiring. The athlete completed 32 races that were at least 15 kilometers in length. The rest were 10-kilometer races. We need to find out the number of races that were 10-kilometer long.
Let the number of races that were 10-kilometers long be denoted by the variable "x". An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign. We can write the equation as given below.
32×15 + 10x = 1,500
480 + 10x = 1,500
10x = 1,500 - 480
10x = 1,020
x = 1,020/10
x = 102
Hence, the number of races that were 10-kilometer long is 102.
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the p-value is 0.026, so we reject the null hypothesis and accept the alternative hypothesis. we conclude that this year the proportion of americans who support federal spending cuts to medicaid is less than 0.12 what type of error is possible here?
The proportion of Americans who support federal spending cuts to Medicaid is less than 0.12 leads to Type 1 error.
What is Type 1 error and Type 2 error?When we reject a true H₀ it is known as type 1 error. The probability of type 1 errors is inversely proportional to the amount of confidence you choose. There is a 5% possibility of receiving a type 1 error on a test with a 95% confidence level.
When we feel to reject a false H₀ it is known as type 2 error.
H₀:P= 0.12
Hₐ:P= 0.12
The question implies that we actually rejected the null hypothesis, while there is a chance that it is true and we are rejecting a true null hypothesis.
Therefore, it only suggests that there is a possibility that we will make a type 1 error.
Consequently, Type 1 error is the response to our query.
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Help Please!
Solve the inequality and graph it’s solution.
The solution of given inequality is x≤-2.
What is inequality?
Inequality (mathematics), a relation between two numbers or quantities indicating which of them is greater or smaller. An inequality is denoted by the symbol <, which is drawn pointed toward the smaller number.
The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.
p ≠ q means that p is not equal to q
p < q means that p is less than q
p > q means that p is greater than q
p ≤ q means that p is less than or equal to q
p ≥ q means that p is greater than or equal to q.
Given, inequality
8x - 5x ≤ -6
3x ≤ -6
x≤ -6/3
x≤ -2.
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the option a is the correct option.
45 point reward if you help !! Find the volume of each shape and then compare do not reduce your fractions.
Answer:
150/512 < 64/125
Step-by-step explanation:
5/8 * 6/8 * 5/8 = 150/512 = 0.295
4/5 *4/5 * 4/5 = 64/125 = 0.512
Therefore: 0.295 < 0.512 or 150/512 < 64/125
1. If f(2)= -5, what does 2 represent?
2. If f(2)=-5, what does -5 represent?
3. What does f(2)= -5 mean?
In the function f(2)= -5, 2 is the preimage of the function and 5 is an image of the function.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
Suppose that f(a) = b
In that case, element "b" is the image of element "under the function," while element "a" is the preimage of element "under the function."
In the given function f(2)= -5
2 is the preimage of the function and 5 is an image of the function.
Hence, the 2 is the preimage of the function and 5 is an image of the function.
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the fast-food smoothie contains only a small amount of fruit. it has 76 g of sugar. if there are 4 g of sugar in a teaspoon of sugar, how many teaspoons of sugar are in this fast-food smoothie?
The total amount of sugar which contains in 4 grams of sugar = 304 grams.
Amount of sugar fast food smoothie has = 76 gram
amount of sugar a teaspoon of sugar contains = 4 gram
Thus the total amount of sugar which contains in 4 grams of sugar = 4 × 76
this implies the total amount of sugar which contains in 4 grams of sugar = 304 grams
In this question we used the unitary method where we multiplied a quantity with a known quantity to find the value of an unknown quantity.
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3. The mean of five positive numbers is 4. When another number is added, the mean becomes 8. Find the number added.
the answer
Answer:
28
Step-by-step explanation:
mean is when you add all the numbers divide it by the amount of terms
So to find the sum of the terms we just multiply 5 by 4
20 is the sum and since the mean is 8 with 6 terms we multiply those also
8x6
48 and to find the number we subtract 48 by 20
48-20
28
Hopes this helps please mark brainliest
List the independent and dependent variables
H(x)=3+0.5x
x is the independent variable and H(x) is the dependent variable
How to determine independent and dependent variables?
A dependent variable is a variable whose value depends upon independent variables.
An independent variable is a variable that does not depend on any other variable for its value.
For example, in an expression, y = 3x + 2, x is an independent and y is a dependent variable because y depends on x for its value
Given: H(x) = 3+0.5x
Therefore, x is the independent variable and H(x) is the dependent variable because it is a function of x
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SKIING Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB, and one of the chairs on the lift, represented by point C
Answer:
The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).
What are co-ordinates?
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).Step-by-step explanation:
Given:
20 = 1/2x + 5/2
20 * 2 = x + 5
40 = x + 5
x = 35
Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)
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