Mario set a goal to run 130 miles this month to prepare for a marathon. So far this month, he has run 65 miles. Write and solve an equation to show how many miles Mario has left to run this month to reach his goal.
m + 65 = 130; m = 65 miles
m − 65 = 130; m = 195 miles
65m = 130; m = 2 miles
m over 65 equals 130; m = 8,450 miles
Mario left 65 miles to reach his goal and m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the Mario set a goal to run 130 miles this month to prepare for a marathon.
He has run 65 miles in this month.
We need to find the equation to show how many miles Mario has left to run this month to reach his goal.
m+65=130
We can find the left out distance in miles.
Subtract 65 from both sides.
m=130-65
m=65
Hence, m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal and Mario left 65 miles to reach his goal.
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Answer:
it's b
Step-by-step explanation:
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
True or False: The domin of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of fand the domain of g. Justify your answer.
The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.
What is a function?A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.
What is a domain?The range refers to all potential values of y, and the domain refers to all conceivable values of x.
The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.
Thus, the given statement is false.
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How do you determine if something is a factor of a function?.
if the function is divided and we get the remainder of zero then it is said to be a factor of a function
According to the Remainder Theorem, by a factor x − an of that polynomial, then you will get a zero remainder. The point of the Factor Theorem is the turnaround of the Remainder Theorem: On the off chance that you synthetic-divide a polynomial by x = a and get a zero remainder, at that point not as it were is x = a, a zero of the polynomial(for the remainder theorem ) but x − a is additionally a factor of the polynomial according to of the Factor Theorem.
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NEED HELP ASAP
Find the equation of the line that has a slope of -3 and a y-intercept at 5.
y = -3x + 5
y = -5x + 3
y = 5x - 3
y = 3x - 5
2.
Find the equation of the line that has a y-intercept of -1 and a slope of 1/2.
y = -x + 1/2
y = 1/2 x - 1
y = -1/2 x + 1
y = 1x - 1/2
3.
Find the equation of the line where m = 1 and b = 8.
y = x + 8
y = 8 - x
y = 8x + 1
y = 8
4.
Find the equation of the line that goes through the point (1, -1) and has a slope of 5.
y = 5x - 6
y = 5x + 1
y = 5x - 1
y = x + 5
5.
Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2
6.
Find the equation of the line that goes through the point (5,1) and has a slope of 0.
y = 5
y = 1
y = 5x + 1
x = 5
7.
Find the equation of the line that goes through the point (-2, -2) and has a slope of -4.
y = -2x - 2
y = -4x - 10
y = -4x - 2
y = -2x - 4
8.
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 2
y = -5x + 4
y = -1/5 x + 4
y = 1/5 x - 4
9.
Find the equation of the line that goes through the points (2, 2) and (6, 6).
y = 2x + 6
y = 6x + 2
y = x
y = -x
10.
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -3x + 6
y = -1/3 x + 6
y = -1/3 x + 2
11.
Find the equation of the line that goes through the points (4, 4) and (8, 6).
y = 4x + 6
y = 1/2 x + 2
y = 2x - 4
y = 1/2 x + 4
Answer:
#1. A
#2. B
#3. A
#4. A
#5. A
#6. B
#7. B
#8. C
#9. C
#10. C
#11. C
You can find 0.5% of a number by multiplying the number by 5/100: true or false explain your answer
it is true that 0.5% of 200 is 10.
How can we determine if this is true?True.
To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.
Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.
For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:
\(0.5% of 200 = 200 \times 5/100 = 10\)
Therefore, it is true that 0.5% of 200 is 10.
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Solve the problem.
Use the standard normal distribution to find P(-2.50 < z <
1.50).
To find the probability of a range of values within the standard normal distribution, we need to calculate the area under the curve between two z-scores. In this case, we need to find P(-2.50 < z < 1.50).
The standard normal distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1. It is often used in statistical calculations and hypothesis testing. To find the probability between two z-scores, we calculate the area under the curve within that range.
In this problem, we want to find the probability between z = -2.50 and z = 1.50. We can use a standard normal distribution table or statistical software to find the corresponding probabilities. The table or software provides the area under the curve for different z-scores.
First, we find the probability associated with z = -2.50, which is the area to the left of -2.50 on the standard normal distribution curve. Similarly, we find the probability associated with z = 1.50, which is the area to the left of 1.50 on the curve. Subtracting the two probabilities gives us the desired probability between -2.50 and 1.50.
By using the standard normal distribution table or software, we can find the probabilities associated with z = -2.50 and z = 1.50. Then, subtracting these probabilities will give us the probability between -2.50 and 1.50. The resulting probability represents the area under the curve within that range, indicating the likelihood of a random variable falling within that interval.
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What sort of monkeys makes the best wine
The 22 students in Mrs. Aire's class, each purchased balloons to decorate for a party in the gym. Each student paid $3.80. About how much money did the students spend?
Answer:
$83.60
Step-by-step explanation:
22 x $3.80 = $83.60
rodger picked 56 berries in 8 minutes. At that rate, how many berrie did he pick in 1 minute?
Answer: 7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
This year, a small business had a total revenue of $16,500. If this is 34% less than their total revenue the previous year, what was their total revenue the previous year?
Answer:
$25000
Step-by-step explanation:
100% - 34% = 66%
We know that
66% = $16,500
We have to find 1%
16500 divided by 66 = $250
Then we have to find the 34%
250 times 34 = $8500
Then we add both numbers to find their previous year's revenue
$16500 + $8500 = $25000
So, their previous year's revenue is $25000
Find angles x and y in each figure
Answer and Step-by-step explanation:
In the first figure, Angle y is equal to 90 by the vertical angles theorem.
Then, you would do 180 0 90, divided by 2 to find x.
180 - 90 = 90, divided by 2 = 45.
Angle x is equal to 45 in the first figure.
In the second figure, Angle y is equal to 80, since the sides are congruent, meaning the triangle is an isosceles triangle.
So, to find the unknown angle, we add 80 and y together, and subtract it from 180.
180 - (80 + 80) = 180 - 160 = 20
Angle of measurement of 20 is supplementary to angle x.
These add up to 180 when combined.
180 - 20 = x
160 = x.
Angle x is equal to 160 in the second figure.
#teamtrees #PAW (Plant And Water)
for the first triangle:
y=90, vertically opposite angles
x=45, steps: 180-90= 90
90/2=45
second triangle:
y=50, isosceles triangle: 2 equal sides.
x=100, 180-50-50=80
180-80=100, both angles on the same straight line.
what is the equation of the horizontal line through (-7,-3)
Answer:
y = –3 is the answer since the y-coordinate is –3 and y = lines are horizontal.
pls give brainliest
The equation of the horizontal line through (-7,-3) is \(y = x - 3\).and this can be determined by using the two-point form of a line.
Given :
The line is horizontal and passes through (-7,-3).
The following steps can be used in order to determine the equation of a line that passes through (-7,-3):
Step 1 - According to the given data, the line is horizontal which means it is parallel to the x-axis.
Step 2 - So, the horizontal line also passes through (0,-3).
Step 3 - So, the equation of a line that passes through the points (-7,-3) and (0,-3) is:
\(\dfrac{y+3}{x-0}=\dfrac{-3+3}{-7-0}\)
Step 4 - Simplify the above expression.
\(y = x - 3\)
So, the equation of the horizontal line through (-7,-3) is \(y = x - 3\).
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I just need an explanation for this.
The point of maximum growth rate for the function is (1.4, 15)
How to determine the point of maximum growth rate for the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 30/(1 + 2e⁻⁰.⁵ˣ)
A logistic function is represented as
f(x) = M/(1 + ceⁿᵇ)
And the point of maximum growth rate for the function is calculated as
x = ln(c)/n
y = M/2
In this case,
M = 30, c = 2 and n = -0.5
Substitute the known values in the above equation, so, we have the following representation
x = ln(2)/(0.5) = 1.4
y = 30/2 = 15
Hence, the point of maximum growth rate for the function is (1.4, 15)
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The observation deck of the Willis Tower in Chicago is 412 meters above the ground. On a scale drawing, this distance is 82.4 centimeters. The actual height of the building itself is 442 meters.
What is the height of Willis Tower in the scale drawing?
5.4 centimeters
76.8 centimeters
88.4 centimeters
112.4 centimeters
Answer:
88.4 centimeters
Step-by-step explanation:
I just finched the quiz 2.03
that was the right answer :)
For a biology experiment, students labeled the plants in a greenhouse in order to track their heights over the next few weeks. The greenhouse contained ROSES labeled 1, 2, 3, 4, 5, 6, LILIES labeled 1, 2, 3, 4, 5, and VIOLETS labeled 1, 2, 3, 4. If a single flower is picked at random, what is the probability that the flower is NOT A ROSE?
Using it's concept, it is found that there is a 0.6 = 60% probability that the flower is NOT A ROSE.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 4 = 15 flowers, out of which 5 + 4 = 9 are not roses, hence the probability is given by:
p = 9/15 = 0.6 = 60%.
0.6 = 60% probability that the flower is NOT A ROSE.
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In this multistep activity, you will review the skills needed to find the slopes of linear functions in general form and to find perpendicular slopes. Then you will use these skills to find equations of lines perpendicular to given lines and passing through particular points. - Step 1 (equation entry question): Given a line in the general form ax+by=c, find the slope. - Step 2 (sorting question): Match slope values with their perpendicular slope values. - Step 3 (video): Find an equation of the line that is perpendicular to the given line, passing througha given point. - Step 4 (equation entry question): Given a line and a point, find a line perpendicular to the given line, through the given point. Find an equation of the line that is perpendicular to 2x−3y=6 and passes through the point (12,24). Express the answer in slope-intercept form.
The equation of the line that is perpendicular to 2x-3y=6 and passes through the point (12,24) in slope-intercept form is y = -1.49x + 41.88.
Given a line and a point, find a line perpendicular to the given line, through the given point:2x - 3y = 6Divide both sides by -3 to make y the subject:2x/-3 - 6/-3 = y0.67 x - 2 = y
Therefore, the slope is 0.67. Find the slope of a line perpendicular to the line using the negative reciprocal of the slope of the given line.
Therefore, the slope of a line perpendicular to this line will be -1.49.Using the point-slope formula, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope that was determined above.(y - 24) = -1.49(x - 12)
Substitute the slope-intercept formula y = mx + b and solve for the y-intercept. y - 24 = -1.49x + 17.88y = -1.49x + 41.88
Therefore, the equation of the line that is perpendicular to 2x-3y=6 and passes through the point (12,24) in slope-intercept form is y = -1.49x + 41.88.
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1/4 divided by 7/10 is...??
A. 7/40
B.5/14
C.10/28
Answer:
b. 5/14
Step-by-step explanation:
hope this helps. plz give brainliest
Answer:
Do keep change flip. Keep 1/4 and change division to multiplication. Also flip 7/10 to 10/7. That gives you 10/28. So C
Step-by-step explanation:
What alternative best describe the language represented by the following regular expression? Group of answer choices Strings do not have 2 consecutive 0s. Strings that only start with 1. Strings do not have 2 consecutive 1s. Strings that consist of alternating 0s and 1s.
An alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.
What is a regular expression?A regular expression (abbreviated regex or regexp; sometimes known as a rational expression) is a string of letters that indicates a search pattern in the text. String-searching algorithms typically use such patterns for "find" or "find and replace" operations on strings, as well as input validation. In theoretical computer science and formal language theory, regular expression techniques are developed.As an example: Strings do not have two consecutive 0s, which is an alternative that best describes the language represented by the following regular expression (0∪ε)(1∪10).Therefore, an alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.
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The complete question is given below:
What alternative best describes the language represented by the following regular expression?
(0∪ε)(1∪10)
Group of answer choices
(A) Strings do not have 2 consecutive 0s.
(B) Strings that only start with 1.
(C) Strings do not have 2 consecutive 1s.
(D) Strings that consist of alternating 0s and 1s.
PLEASE HELP WILL GIVE BRAINLIST
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.
The true statement about the function are;
⇒ The function is positive for all real values of x, where x < –1.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The graph of the function;
f(x) = –(x + 3)(x – 1)
Now,
Graph of the function is shown in attached image.
Which is a parabola, It goes through (- 3, 0), has a vertex at (- 1, 4), and goes through (1, 0).
Clearly, When x < -1
Take x = 0 < -1
The value of function;
f(x) = –(x + 3)(x – 1)
= - (0 + 3) (0 -1)
= -3 x -1
= 3
The function is positive.
Thus, The true statement about the function are;
⇒ The function is positive for all real values of x, where x < –1.
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Evaluate the surface integral. S is the surface z = 2/3 (x^3⁄2 + y^3⁄2), 0 ≤ x ≤ 4, 0 ≤ y ≤ 3
0 ≤ x ≤ 4 and 0 ≤ y ≤ 3, we have:
∬S z dS = ∫0^3 ∫0^4 (2/3 (x^(3/2) + y^(3/2))) √(2/3 x + 2/3 y + 1) dx dy
This integral can be evaluated using numerical methods.
To evaluate the surface integral, we first need to parameterize the surface S. We can use the parameterization:
r(x,y) = <x, y, 2/3 (x^(3/2) + y^(3/2))>, where 0 ≤ x ≤ 4 and 0 ≤ y ≤ 3.
Then, the surface integral of a scalar function f(x,y,z) over S can be calculated using the formula:
∬S f(x,y,z) dS = ∬D f(r(x,y)) ||r_x x r_y|| dA
where D is the region in the xy-plane that is mapped onto the surface S by the parameterization r(x,y), and ||r_x x r_y|| is the magnitude of the cross product of the partial derivatives of r with respect to x and y.
In this case, f(x,y,z) = z = 2/3 (x^(3/2) + y^(3/2)), and r(x,y) = <x, y, 2/3 (x^(3/2) + y^(3/2))>. We can calculate the partial derivatives of r with respect to x and y:
r_x = <1, 0, 2/3 (3/2 x^(1/2))>
r_y = <0, 1, 2/3 (3/2 y^(1/2))>
Taking the cross product of these vectors, we get:
r_x x r_y = <-2/3 (3/2 x^(1/2)), -2/3 (3/2 y^(1/2)), 1>
The magnitude of this vector is:
||r_x x r_y|| = √(4/9 (3/2 x^(1/2))^2 + 4/9 (3/2 y^(1/2))^2 + 1) = √(2/3 x + 2/3 y + 1)
So the surface integral becomes:
∬S z dS = ∬D (2/3 (x^(3/2) + y^(3/2))) √(2/3 x + 2/3 y + 1) dA
To evaluate this integral, we can use a double integral over the region D in the xy-plane. Since 0 ≤ x ≤ 4 and 0 ≤ y ≤ 3, we have:
∬S z dS = ∫0^3 ∫0^4 (2/3 (x^(3/2) + y^(3/2))) √(2/3 x + 2/3 y + 1) dx dy
This integral can be evaluated using numerical methods.
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Help please asap
What is the surface area
Answer:
27
Step-by-step explanation:
maybe?
Answer:
486
Step-by-step explanation:
start by finding the area of 1 side
then you multiply it by 6 since a cube has 6 sides
Solve the following inequality.
Step-by-step explanation:
8p+2>2p-15
6p>-17
p>-17/6
Answer:p>-17/5
Step-by-step explanation:
8p+2>3p-15
(8-3)p+2>-15
5p+2>-15
5p>-15-2
5p>-17
5p/5>-17/5
p>-17/5
It is what it is there is no clear explanation you just follow the rules
Hope it helped you
a telephone company wants to estimate the proportion of customers who are satisfied with their service. they use a computer to generate a list of random phone numbers and call those people to ask whether they are satisfied.
The selection of phone numbers is a simple random sample
How to determine if the selection a simple random sample?From the question, we have the following parameters that can be used in our computation:
Estimating the customer satisfaction
Also, we understand that the estimate was done my a list of random phone numbers
This selection is a random sample
This is so because each phone number in the phone directory has an equal chance of being selected
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Question
A telephone company wants to estimate the proportion of customers who are satisfied with their service. they use a computer to generate a list of random phone numbers and call those people to ask whether they are satisfied.
Is this a simple random sample? Explain.
A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards. What is their net gain or loss?
Answer:
I believe it's 6 yards net gain
500 g of yogurt for $3.49 or 125 g for $0.79
which is the better deal
Answer:
125g for $0.79
Step-by-step explanation:
500g of yogurt for $3.49 equals 0.00698 per gram.
3.49/500 = 0.00698
125g of yogurt for $0.79 equals 0.00632 per gram.
0.79/125 = 0.00632
hope this helps
What is the area and d. is 10.07
The area of triangle JHK is 4.18 units²
What is area of a triangle?A triangle is a polygon with three sides having three vertices. There are different types of triangle, we have;
The right triangle, the isosceles , equilateral triangle e.t.c.
The area of a figure is the number of unit squares that cover the surface of a closed figure.
The area of a triangle is expressed as;
A = 1/2bh
where b is the base and h is the height.
The base = 2.2
height = 3.8
A = 1/2 × 3.8 × 2.2
A = 8.36/2
A = 4.18 units²
Therefore the area of triangle JHK is 4.18 units²
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Which of the following radical expressions is equivalent to √27 - 5√3?
Answer:hate math brother
Step-by-step explanation:
Triangle ABC is drawn with AB = 3.6 units. BC = 4.2 units, and BCA = 28°. The measure of
LABC is
As per the law of sine, the value of ∠ABC is 13°
Law of sine:
In math, the law of sine refers the relationship between the sides and angles of non-right (oblique) triangles.
Given,
Triangle ABC is drawn with AB = 3.6 units. BC = 4.2 units, and BCA = 28°. Here we need to find the measure of ∠ABC.
According to the law of sine, the given measures of the given triangle are written as,
=> sin 28°/4.2 = sin x°/3.6
Apply the value of sin 28° = 0.27, then we get,
=> 0.27/4.2 = sin x/3.6
=> 0.972/4.2 = sin x
=> sin x = 0.2314
=> x = sin⁻¹(0.2314)
=> x = 13°
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