Answer:
if I can't explain in one line, then I will include the steps in the explanation.
2x - 7 2x - 7 = x + 97Step-by-step explanation(Q3):
[tex]3^2-\left(5-3\right)^3+6\\5-3=2\\3^2-2^3+6\\3^2=9\\9-2^3+6\\2^3=8\\9-8+6\\9-8=1\\1+6\\1+6=7\\=7[/tex]
Hope it helps!
connie is ordering new carpet for a room 2.6m 3.8m 8.3m what is the area of the floor
The area of the floor on which Connie is laying the carpet is 9.88 m²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Area is the amount of space occupied by a two dimensional shape or object.
Connie is ordering new carpet for a room 2.6m*3.8m*8.3m. Hence:
Area of the floor = 2.6 m * 3.8 m = 9.88 m²
The area of the floor on which Connie is laying the carpet is 9.88 m²
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Solve for x.
3x - 8 ≤ 23 AND
- 4x + 26 ≥ 6
Answer:
1) x≤10.33
2) x≤5
Step-by-step explanation:
Question: 3x−8≤23
1) 3x≤31
2) x≤10.33
Question: -4x + 26≥6
1) -4x ≥-20
2) x ≤5
1) 3x < 23 + 8
3x < 31
x < 31/3
x < 10.33
x value will be more than equal to 10.33
2) -4x > 6 - 26
x > -20/-4
x < 5
x value will be less than and equal to 5
During a clearance sale at a sporting goods store,skateboards were marked down 30%.on saturday,additiobal 25% was taken off already reduced prices of skateborads originally cost 119.50,what was the final price ater all dicounts had been taken?round to the nearest cent
The final price after all discounts is $62.74.
What is the final price?A discount is when the price of an item is decreased. An item becomes cheaper when a discount is applied.
Percentage is the fraction of an amount expressed as an amount out of 100. Percentage is a measure of frequency. The sign used to represent percentage is %.
Price of the skateboard after the first discount = (1 - discount) x initial price
(1 - 0.30) x 119.50
0.70 x 119.50 = $83.65
Price of the skateboard after the second discount = (1 - discount) x discounted price
(1 - 0.25) x $83.65
0.75 x $83.65 = $62.74.
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What is an equation of the parabola with vertex (1,4) and focus (1,6) ?
The equation of the parabola that has vertex at (1,4) and focus (1,6) is
(y - 4)² = 8(x - 1)y² - 8y + 16 - 8x + 8 = 0What is known as a parabola?A parabola is a quadratic function that can move on any axis, it is composed of:
vertexfocal axisdirectrixThe equation that defines a parabola can be given by:
(x - h)² = 4p(y - k)
(y - k)² = 4p(x - h)
This will depend on its aperture
Since the vertex and the focal axis are on the same axis, we analyze that:
v (1, 4)f (1, 6) the focus is on the right so the parabola is of the form y = x².(x - 1)² = 4p(y - 4)
f = (1, 4 + p)
4 + p = 6
p = 6 - 4
p= 2
(x - 1)² = 4*2(y - 4)
(x - 1)² = 8(y - 4)
x² - 2x + 1 - 8y + 32 = 0
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Which store has the best deal on t-shirts?
T-shirt Land: 6 pack of t-shirts for $15
Discount Tees: 10 pack of t-shirts for $27
The Shirt Shop: 4 pack of t-shirts for $12
Answer:
6 pack of t shirts for 15 :3
Step-by-step explanation:
Susan travels at a rate of 60 miles per hour for 3 hours. her car uses on average one gallon of gas per 30 miles. how many gallons of gas does she use on her trip?
The average is calculated by adding up all the data sets, then dividing that total by the total number of data points. She used 6 gallons of gas on her trip.
What is meant by 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.
The two unit rates of (30 miles per gallon) and can be used to convert three hours to gallons of gas (60 miles per hour).
30 miles = 1 gallon of gas used
For (30 × 2) 60 miles = 2 gallons of gas used
2 gallons of gas she used per hour.
Susan goes 180 miles in 3 hours (60 miles per hour).
Therefore,
For 3 hrs = 3 × 2 = 6 gallons of gas used.
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If z varies directly with the product of x and y(z=k x y) , then z is said to vary jointly with x and y .
a. The area of a triangle varies jointly with its base and height. What is the constant of variation?
For the area of triangle, the constant of variation is 1/2.
What is variational constant?
The link between the independent (x) and dependent (y) variables is shown by a constant of variation. A continuous relationship between the variables indicates to the user that there is one; it does not alter regardless of how the scenario changes.
It can be employed to ascertain how the dependent variable will alter in response to changes in the independent variable. For instance, if a person drives continuously at the same pace, they may calculate their distance by multiplying the number of hours they spent driving by the speed they were moving at. In this instance, the speed is the constant since it remained constant regardless of how long or how far they travelled during the journey.
A triangle's area is equal to (1/2) * (base) * (height).
It fluctuates in tandem with both the base length and the height.
The (1/2) represents the variational constant.
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Period
- Date
4. Open Response The ratio of Braydon's
number of laps he ran to the time he ran is
6:2. The ratio of Monique's number of laps
she ran to the time she ran is 10: 4. Explain
why these ratios are not in a proportional
relationship. (Lesson 2)
Answer:
(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
10:4 = 5:2
6:2 = 3:1
Not equal.
Point A is (2,-1) and Point B is (4,3)
(2,-1),(4.3) find the distance
The distance of AB is 2√5.
Given that the point A is (2,-1) and point B is (4,3).
The distance formula gives us the shortest distance between the given two points in a plane of two dimensional.
The given points is point A(x₁,y₁)=(2,-1) and point B (x₂,y₂)=(4,3).
Now, we will use the distance formula to calculate the distance that is D=√(x₂-x₁)²+(y₂-y₁)².
Further, we will substitute the given values in the above formula, we get
D=√(4-2)²+(3-(-1))²
D=√2²+(3+1)²
D=√2²+4²
D=√4+16
D=√20
D=2√5
Hence, the distance of AB from the given points point A is (2,-1) and point B is (4,3) is 2√5.
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What is our decision for a goodness-of-fit test with a computed value of chi-square of 1.273 and a critical value of 13.388?
The expected value of chi-square statistics is not significantly different from the observed value.
What is chi-square statistics?
Chi-square statistics is defined as a measure that is used to denote the difference between the expected frequencies and the observed frequencies of an event. It is illustrated using the symbol, 'χ2'.
Deciding for the goodness of a fit
The assigned value of chi-square is 1.273 while the critical value is 13.388
The hypotheses for the goodness of fit test are given below:
Null Hypothesis: the expected value is not significantly different from the observed values
Alternate Hypothesis: the expected value is significantly different from the observed values
We know that the chi-square test is right-tailed.
Further, the value of test statistics is 1.273, which is less than the critical value, 13.388
Thus we fail to reject the null hypothesis and we accept it.
Hence, we can conclude that the expected value is not significantly different from the observed value.
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Refer to ®R .
Name the center of the circle.
The center of a circle is the point at which the tip of our compass is placed when drawing a circle. It is the center of the circle's diameter.
What is the Center of the Circle?A circle is a two-dimensional closed figure in which the set of all points in the plane is equidistant from a given point known as the "centre."
The center of a circle is the point at which the tip of our compass is placed when drawing a circle. It is the center of the circle's diameter. The radius of a circle is the distance from the center to any point on its circumference that is always the same.
The center of the circle that is internally tangent to all three triangle sides; the orthocenter, the intersection of the triangle's three altitudes; and the nine-point center, the center of the circle that passes through nine key triangle points.
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Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days, she had nine more than five times as many fruit flies as when she began the study. If she observes 20 fruit flies on the first day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days. Write an expression for the population of fruit flies Lavania observed after 6 days.
The expression to find the population of fruit flies Lavania observed after 6 days is 9 + 5 * 20 and the value is 109
How to write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days?The given parameters are
Day 1 = 20 fruit flies
Day 6 = 9 more than 5 times as many fruit flies on day 1
The above expression can be rewritten as
Day 6 = 9 + 5 * Day 1
This gives
Day 6 = 9 + 5 * 20
Evaluate the product
Day 6 = 9 + 100
Evaluate the sum
Day 6 = 109
Hence, the expression to find the population of fruit flies Lavania observed after 6 days is 9 + 5 * 20 and the value is 109
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The base of a right pyramid is a regular hexagon with sides of length m. the altitude is m. find the total surface area of the pyramid.
The total surface area of the pyramid 806.12 [tex]m^{2}[/tex].
What is surface area?
The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
Side (s) = 12
Altitude (h) = 6
Area = 3√3/2*s² + 3*s*√(h²+3s²/4)
Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]
Area = 806.12 [tex]m^{2}[/tex]
A 3D object's surface area is the entire area that all of its faces cover. For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it.
Area of a square is equal to the sum of the lengths of its sides, where an is a square side.
The surface area of a three-dimensional shape refers to the amount of open space that it occupies. A solid shape's volume is the amount of space it takes up.
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An electric toothbrush costs $72, including a 20% price markup. What was the cost for the store to purchase the electric toothbrush? $14.40 $52.00 $60.00 $64.80
The cost of the toothbrush will be equal to $14.40. The correct option is A.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that an electric toothbrush costs $72, including a 20% price markup.
The price of the toothbrush will be calculated as,
P = ( 72 x 20 ) / 100
P = 1440 / 100
P = $14.40
Therefore, the cost of the toothbrush will be equal to $14.40. The correct option is A.
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Answer: 60.00
i did the test.
Write an equation in slope-intercept form for the line.
(-3,12) and (15,0)
The equation in slope-intercept form for the line given (-3,12) and (15,0) is
[tex]y=-\frac{2}{3}x+ 10[/tex]
Given,
The points = (-3,12) and (15,0)
We know,
Slope of the equation m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Substitute the values and find the value of m
m= [tex]\frac{0-12}{15--3}[/tex]
m=[tex]-\frac{12}{18}=-\frac{2}{3}[/tex]
Slope intercept form of the equation is y= mx + b
where b is y intercept form.
Consider one point and substitute the values.
[tex]0=-\frac{2}{3}(15)+b \\0=-10+b\\b=10[/tex]
Then the slope intercept form is
[tex]y=-\frac{2}{3}x+ 10[/tex]
Hence, The equation in slope-intercept form for the line given (-3,12) and (15,0) is [tex]y=-\frac{2}{3}x+ 10[/tex]
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Evaluate the expression for s = 5 and
t = 2. Simplify your answer.
10/st
Answer: 1
Step-by-step explanation:
s = 5, t = 2
10/5*2
= 10/10
=1
i dont get this need help asap THANK YOUU
Answer:
95
Step-by-step explanation:
Because they are opposite angle. Since TRV and SRV is opposite that means they are equal each other
Anna works at an electronics store as a
salesperson. Anna earns a 5% commission
on the total dollar amount of all phone
sales she makes, and earns a 7%
commission on all computer sales. Anna
made a total of $2100 in sales and earned
$119 in commission. Write a system of
equations that could be used to determine
the dollar amount of phone sales Anna
made and the dollar amount of computer
sales she made. Define the variables that
you use to write the system.
The variables that
x + y = 2100
5 x + 7 y = 11700
Let x = total dollar amount of sales of phone;
y = total dollar amount of sales of computer
for total sales of phones anna earns 5% commission
So anna 's commission = 5% of x
= 0.05x
for total sales of computer anna earns 7% commission
So anna 's commission = 7% of y
= 0.07y
Given the total sales; x + y = 2100
And commission; 0.05x + 0.07y = 117; or 5x + 7y = 11700
Therefore the system of equations are
x + y = 2100 …….equation (1)
5 x + 7 y = 11700 ……equation (2)
In mathematics, a variable is a symbol and placeholder for any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.
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Please Help me with number 13 IF LM=3,MH=k/9 and LH=5,find K
According to the question, the given parameters with different numbers for the line LH is as follows:
LM =3, MH = k/9 and LH =5
To calculate the distance of the line LH, the expression can be written as:
LH = LM+MH
Substitute the given parameters in the above expression:
5 = 3 + (k/9)
Now, solving above expression, we get the calculated value for the variable 'k':
k = 18 units
Hence, the calculated value for the variable k = 18 units.
How to define distance for the line?
Distance defines the length segment of the line in the coordinate geometry. It is respective length between the two points. In this, the line segment is divided into two parts.
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The table shows the amount of money raised by each region. The four regions raised a total of $ ( 5 . 38 × 10 4 ) . Region Amount Raised ($) East 1 . 46 × 10 4 North 2 . 38 × 10 4 South 6 . 75 × 10 3 West ? How much did the West raise? Express the result in scientific notation. $__
The amount raised in the west in scientific notation is 8.650 × 10³.
How to find the amount the west will raise in scientific notation?The four region raised 5.38 × 10⁴ dollars(53800)
According to the table,
Amount east raised = 1.46 × 10⁴ = 14600
Amount North raised = 2.38 × 10⁴ = 23800
Amount South raised = 6.75 × 10³ = 6750
Therefore, the amount raised in the west can be calculated as follows;
amount raised in the west = 53800 - 14600 - 23800 - 6750
amount raised in the west = 8650
amount raised in the west = 8.650 × 10³
Therefore, the amount raised in the west in scientific notation is 8.650 × 10³.
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Mr. White drove 15 miles in July. He drove 8 times as many miles in September as he did in July. He drove 3 times as many miles in August as he did in September. How many miles did Mr. White drive in August?
The answer is 360 miles
so you do
15 times 8 and that equals 120
so then you also o 120 times 3 and the answer is 360 :>
you are so welcome
WILL GIVE BRAINLIEST X THANKS !
REALLY URGENT
Write each subtraction equation as an addition equation.
a - 9 = 6
p - 20 = -30
z - (-12) = 15
x - (-7 = -10
The subtraction equations written as addition equations are
a + (-9) = 6
p + (-20) = -30
z + 12 = 15
x + 7 = -10
Writing an EquationFrom the question, we are to write each of the given subtraction equation as an addition equation
a - 9 = 6This equation written as an addition equation is
a + (-9) = 6
p - 20 = -30This equation written as an addition equation is
p + (-20) = -30
z - (-12) = 15This equation written as an addition equation is
z + 12 = 15
x - (-7) = - 10This equation written as an addition equation is
x + 7 = -10
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Function f, graphed below, is NOT an invertible function.
To which intervals could we restrict the domain of f to make it an invertible function?
Choose all answers that apply:
A. 1 ≤ x ≤ 6
B. 0 ≤ x ≤ 8
C. -8< x < -4
POOL Eight-ball pool is a popular game played on a pool table that has six pockets. In eight-ball pool, there are 7 striped balls, 7 solid-colored balls, and a black eight ball. At the beginning of each game, players position the 15 balls in a rack in preparation for the first shot
Answer:
a: 57.3
b: 3.8
Step-by-step explanation:
a: The formula to solve a triangle is a=height*base/2
that makes a= 9.96*11.5/2
a=57.27~=57.3
b: because there is 15 balls take 57.27 and divide it by 15
57.27/15=3.8
Of young workers aged 18 to 25,71 % all paid by the hour. If two people are randomly chosen out of a group of 100 young workers, what is the probability that exactly one is paid by the hour?
42% is the probability that exactly one is paid by the hour.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and AxiomaticP( exactly one paid by hour ) =
[tex]\frac{71}{100} . \frac{29}{100} + \frac{29}{100} . \frac{71}{100} = \frac{2059 + 2059}{10000}[/tex]
[tex]\frac{4118}{10000} = 42%[/tex]%
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Is the following relation a function? Justify your answer. Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 1, and 4. The y circle contains the numbers 2, negative 1, and 3. Arrows map numbers from x to numbers from y. There are arrows going from 6 to 3, from negative 1 to 2, from negative 1 to negative 1, and from 4 to 3. No, because there is an input value with more than one output value No, because there is an output value with more than one input value Yes, because each input value has only one output value Yes, because each output value has only one input value
each input is mapped into only one output, then this relation is a function.
The correct option is "Yes, because each input value has only one output value"
Is the relation a function?
A relation maps elements from a set (called the domain, which is the set of the inputs) into elements from another set (called the range, which is the set of the outputs). Such that these mappings generate coordinate pairs (x, y) or (input, output)
A relation is a function only if all the elements in the domain are mapped into only one value in the range.
On the given relation, we have the coordinate pairs:
(6, 3)
(1, 2)
(-1, -1)
(4, 3)
So we can see that each input is mapped into only one output, then this relation is a function.
The correct option is "Yes, because each input value has only one output value"
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Answer:
C. Yes, because each input value has only one output value
Step-by-step explanation:
What is the probability of 8
2 of out 3 people enjoyed the dance . if there are 171 students at the school dance how many people didn’t enjoy
Answer:
57
Step-by-step explanation:
2 out of 3 can be expressed as 2/3. Since we are looking at the 1 out of 3 people, we can use the expression 1/3 x 171 or 171/3, which equals 57
For a fundraiser, a school club is selling raffle tickets for $2 each and healthy snacks for $1.50 each. What is the cost of 10 tickets and 8 snacks?
Find the indicated term of each arithmetic sequence. a₁ =k, d=k+4 ; a₉
The value of term a9 is 9k+32.
How to find the value of term a9?The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same value.
The formula of Arithmetic progression is
a(n) = a1 + (n - 1)d
given that the term of arithmetic sequence and common difference,
a1 = 4 and d = K+4.
now find the value of term a9.
a(n) = a1 + (n - 1)d
now, substitute a(n) = a9, a1 = k, d = k+4.
a9 = k + (9 - 1)(k+4)
a9 = k + 8(k+4)
a9 = k + 8k + 32
a9 = 9k +32
Hence,The value of term a9 is 9k+32.
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