Answer:
5 1 3
2 16 0
2 1 9
To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
Answer:
6x to find x on it's own you need to divide by the number infront,
Step-by-step explanation:
please help
Fully simplify.
(-9√-63)(-√-49)
Answer:
(-9√-63)(-√-49)= (9/3)
Step-by-step explanation:
X/2-5=25???????
HELP!!!!
Answer:
x = 60
Step-by-step explanation:
X/2-5=25
Add 5 to each side
X/2-5+5=25+5
x/2 = 30
Multiply each side by 2
x/2*2 = 30*2
x = 60
Answer:
60
Step-by-step explanation:
x/2 - 5 =25 /×2
x - 10 =50
x=50 +10
x=60
A $108,000 down payment would be? of the purchase price.
Answer: 45%
Step-by-step explanation:
You need to purchase price to answer this question and I believe that purchase price to be $240,000.
The question wants to know the percentage of the purchase price that the down payment is and to find that out, use the following formula:
= Down payment / Purchase price * 100%
= 108,000 / 240,000 * 100%
= 45%
Answer:
45%
Step-by-step explanation:
.......................
How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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yall whats better anime or real life
Answer:
anime you can do or be what you want to be so ya hope you have a nice day
Step-by-step explanation:
Solve using order of operations: 7 + 4 x2
Answer:
15
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:
You do 4 times 2 first
so
7+8 equals 15
Answer:
Step-by-step explanation:
=7+8
=15
Hope it helped you.
Plz mark me brainliest.
You conduct a survey that asks 346 students whether
they buy lunch at school. In Exercises 5-8, use the
results of the survey shown in the two-way table.
Answer:
5. 178
6. 168
7. 208
8. 138
Step-by-step explanation:
add yes and no for 5-6. add yes for both fresh and soph for 7. then add no for fresh and soph for 8
The number of students do not buy lunch at school is 138.
What is data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
Given that, you conduct a survey that asks 346 students whether they buy lunch at school.
5) Number of freshmen = 92+86
= 178
6) Number of sophomores =116+52
= 168
7) Number of students buy lunch at school = 92+116
= 208
8) Number of students do not buy lunch at school
= 86+52
= 138
Therefore, the number of students do not buy lunch at school is 138.
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Could someone please help me with this problem? Final assignment before quarter ends tommorow! Thanks!
Answer:
Since they're both equated to y...
7x² + 6x – 13 = 3x – 3
Bringing all the left
7x² + 3x – 10 = 0
Solving for x
you have
x = 1 or x = –10/3
Now substitute to get y
y = 0 or –13
On a piece of paper, graph f(x) = { 2 ifz > ²
x < 2
.
2
answer choice matches the graph you drew.
O A.
-5
52
y
-53
Click here for long description
Then determine which
A graph that matches the answer choice is shown in the image attached below.
What is a piecewise-defined function?In Mathematics, a piecewise-defined function can be defined as a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, we can reasonably infer and logically deduce that it is constant over the interval x ≥ 2 and increasing over the interval x < 2.
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if a rectangular painting is 3 feet long and 5/6 foot wide what is the area of the painting
Answer:
A = 2 1/2 ft^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 3 * 5/6
A = 5/2 ft^2
A = 2 1/2 ft^2
Answer:
A=2.5 ft^2
Step-by-step explanation:
A=3
A=3(5/6)
A=2.5 ft^2
Find the unit rate at which Jonas is paid.
Answer:
5 dollars per hour
Step-by-step explanation:
Answer:
5 per hour
Step-by-step explanation:
Divide 10 by 2 to get 5
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
(Proportion)
Help please 3.3-8
The slope and one point on the line are given. Find the equation of the line (in slope-intercept form).
The equation of the line for the given point (-2,-5) and slope m=1/2
as y = (1/2)x - 4.
Given, the point = (-2,-5)
m = 1/2
we know that the equation of a line passing through the point and slope is:
y - y₁ = m(x-x₁)
y - (-5) = 1/2 (x-(-2))
y + 5 = 1/2 (x+2)
2y + 10 = x + 2
arrange the constants and variables on one side.
2y - x = 2 - 10
2y - x = -8
2y = x - 8
hence slope intercept form:
y = mx + c
y = x/2 - 8/2
y = (1/2)x - 4
hence m = 1/2 and c = 4
Hence we get the equation of the line as y = (1/2)x - 4.
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Estimate the deference of 323 and 384 by rounding off to the nearest hundreds
Option 1) 300
Option 2)200
Option 3)400
Answer:
200
Step-by-step explanation:
I I can easily set the access option 2
Answer:
100
Step-by-step explanation:
One way of doing this is to substitute 300 for 323 and 400 for 384 (rounding off to the nearest hundreds), We then have 400 - 300, or 100. The actual difference is 384 - 323 = 61, which is closer to 100 than it is close to 0.
Note: There's no way that any of the three options you've shared could be the right one. Was there perhaps another option (100)?
4. Brian is buying some tickets for his family
to go to a concert. The normal ticket
price for one person is £120. There are
discounts for booking early.
Adult tickets have 30% off the normal
price.
A child's ticket has 60% off the normal
price.
Brian buys two adult tickets
and three child's tickets with
the discount.
Work out how much he pays.
Answer:
312
Step-by-step explanation:
120x0.4=48
48x3=144
120x0.7=84
84x2=168
168+144=312
A marathon runner travels 2/3 in 10 minutes. What is the runners rate in miles per hour ?
The runner's rate in miles per hour is D * 4/3 miles per hour.
Describe Distance?Distance is a measure of the physical space between two objects or points. It is the length of the shortest path between two points in space. Distance can be measured in different units, such as meters, kilometers, miles, feet, or inches, depending on the scale of the objects or the purpose of the measurement.
In geometry, the distance between two points in a Euclidean space can be calculated using the Pythagorean theorem or the distance formula. The distance formula is expressed as:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where d is the distance between two points (x1, y1) and (x2, y2) in a two-dimensional plane. This formula can be extended to three dimensions by adding a third term to the equation.
Distance can also be calculated using other methods, such as GPS (Global Positioning System) or by measuring the time it takes for an object to travel from one point to another, using the speed of light or sound.
In everyday life, distance is a fundamental concept used in various contexts, such as navigation, transportation, sports, and communication. It plays a significant role in determining the time and effort required to travel between two points and is often used as a basis for making decisions.
We can use the formula:
rate = distance / time
where distance is the distance traveled by the runner and time is the time taken to travel that distance.
Given that the runner travels 2/3 of the marathon distance in 10 minutes, we can find the total distance of the marathon by dividing the distance traveled by 2/3:
total distance = distance traveled / (2/3) = distance traveled * 3/2
Let's denote the total distance of the marathon as D. Then:
D = distance traveled * 3/2
distance traveled = D * 2/3
We know that the time taken to travel 2/3 of the distance is 10 minutes. Let's convert this to hours:
10 minutes = 10/60 hours = 1/6 hours
Now we can calculate the runner's rate:
rate = distance / time = (D * 2/3) / (1/6) = (D * 4/3) / 1 = D * 4/3
So the runner's rate in miles per hour is D * 4/3 miles per hour.
Note that we don't have a specific value for the total distance D of the marathon, so we cannot give a numerical answer. We can only express the runner's rate in terms of D as:
runner's rate = D * 4/3 miles per hour
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Rearrange x = 3g + 2 to make g the subject.
Answer:
g = \(\frac{x-2}{3}\)
Step-by-step explanation:
x = 3g + 2 ( subtract 2 from both sides )
x - 2 = 3g ( divide both sides by 3 )
\(\frac{x-2}{3}\) = g
Answer:
g = 1/3x - 2/3Step-by-step explanation:
x =3g + 2
3g + 2 = x
3g = x - 2
g = 1/3 x - 2/3
Answer: g = 1/3x - 2/3
Find the exact value of (1 7/9)^1/2
I assume you mean the mixed number 1 + 7/9.
As an improper fraction, we have
1 7/9 = 1 + 7/9 = 9/9 + 7/9 = (9 + 7)/9 = 16/9
Then the square root of this is
√(1 7/9) = √(16/9) = √(4²/3²) = √((4/3)²) = 4/3
Which statement describes when the plans are based on the same number of aerobic exercise sessions?
Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.
The statement that describes when the plans are based on the same number of aerobic exercise sessions is:
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week; option BWhat is the number of strength-training exercises and aerobic exercises per week?The number of strength-training exercises and aerobic exercises per week is calculated as follows:
Let a be the number of strength-training exercises and b be the number of aerobic exercises per week respectively.
For the beginner plan:
15a + 20b = 90 eqn. (1)
For the advanced plan:
20a + 30b = 130 eqn. (2)
Solving the simultaneous equation by elimination method:
Multiply eqn. (1) by 3 and eqn. (2) by 2
45a + 60b = 270 eqn. (3)
40a + 60b = 260 eqn. (4)
Subtract eqn. (4) from eqn. (3)
5a = 10
a = 2
Substitute a = 2 in eqn (2)
b = 3
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Complete question:
A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.
Which statement describes when the plans are based on the same number of aerobic exercise sessions?
Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.
Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6] is revolved about the x-axis. Set up the integral that should be used to find the volume of the solid. Use increasing limits of integration. (Type exact answers.) Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. A. The volume is cubic units. (Type an exact answer.) B. The volume does not exist.
The correct option is A. The volume is 6.77 cubic units
The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].
We want to find the volume of the solid of revolution when the region is rotated about the x-axis.
Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}
To set up the integral to find the volume of the solid of revolution, we can use the disk method.
We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.
The area of a disk is given by the formula: A = πr²
where r is the radius of the disk and is equal to f(x) in this case.
Therefore, the area of a disk is: A = πf(x)²
Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.
We have The integral that should be used to find the volume of the solid is given as:
V = ∫₁⁶ πf(x)² dx
We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.
We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx
Let u = x - 1, so that du/dx = 1 and dx = du.
When x = 1, u = 0, and when x = 6, u = 5.
Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.
The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.
Thus, the correct option is A. The volume is 6.77 cubic units.
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Michael rode his scooter 150 miles using 9 gallons of gasoline what is the average number of miles per gallon her scooter travels?
I missed a week of school so pls help
Answer:
She drove about 16.67 miles per gallon.
Answer: 16.6 or 17 if we’re rounding
Step-by-step explanation:
A $560 investment is compounded annually at a rate of 9% each year. How long will it take for the investment to double? Add an attachment to show your work. Round values to 2 decimal places. Your Answer: Answer
A $560 investment compounded annually at a rate of 9% per year will take approximately 7.97 years to double, resulting in a final amount of $1,120.
To determine how long it will take for the investment to double, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial investment)
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years
In this case, the initial investment (P) is $560, the annual interest rate (r) is 9% (0.09 as a decimal), and the final amount (A) is $1,120 (double the initial investment).
Plugging in these values, we have:
1,120 = 560(1 + 0.09/n)^(n*t)
To solve for t, we need to choose a value for n. Since compounding is done annually, we can set n = 1:
1,120 = 560(1 + 0.09/1)^(1*t)
1,120 = 560(1 + 0.09)^t
Dividing both sides by 560:
2 = (1 + 0.09)^t
Taking the logarithm of both sides:
log(2) = t * log(1 + 0.09)
Solving for t:
t = log(2) / log(1.09)
Using a calculator, we find:
t ≈ 7.97 years
Therefore, it will take approximately 7.97 years (rounded to 2 decimal places) for the investment to double.
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Consider the function y x2-3x + 2. At what value of x is the slope of the tangent line equal to 5 Select one: 0 a,-4 O b. 4 O c. 2
The value of x at which the slope of the tangent line to the given function is equal to 5 is 4. Thus, the correct answer is option (b).
The incline of the digression line to the capability y=x²-3x+2 at some random point (x₀, y₀) on the bend is given by the subordinate of the capability by then. To find the worth of x for which the slant of the digression line is equivalent to 5, we want to separate the given capability and set it equivalent to 5 and afterward tackle for x.
Therefore, let's distinguish the function from x: dy/dx = 2x - 3 Now, we need to set this derivative to 5: 2x - 3 = 5. If we solve for x, we get: 2x = 8x = 4. This means that the value of x at which the tangent line to the given function is equal to 5 is 4. Accordingly, the right response is choice (b).
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A region is prone to flooding once every 20 years. If the probability of flooding in that region any one year is >o. What is the probabilit, of not flooding the next year
The probability of the region not flooding the next year is 19/20.
Given that a region is prone to flooding once every 20 years, we can calculate the probability of flooding in any one year as:
Probability of flooding in any one year = 1/20 = 0.05
Since the probability of flooding in any one year is greater than 0, the probability of not flooding in any one year would be:
Probability of not flooding in any one year = 1 - 0.05 = 0.95
Therefore, the probability of not flooding the next year in this region would be 0.95 or 95%.
Hi, I'd be happy to help you with your probability question.
The probability of flooding in the region any one year is 1/20 (once every 20 years). To find the probability of not flooding the next year, we need to find the complement of the probability of flooding.
Step 1: Determine the probability of flooding.
P(Flooding) = 1/20
Step 2: Find the complement probability.
P(Not Flooding) = 1 - P(Flooding)
Step 3: Calculate the probability of not flooding.
P(Not Flooding) = 1 - (1/20) = 19/20
The probability of the region not flooding the next year is 19/20.
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We can approach this problem using the concept of probability and complement rule.
Given that a region is prone to flooding once every 20 years, we can assume that the probability of flooding in any given year is 1/20 or 0.05 (since once in 20 years means once in 20 trials, and the probability of success in any one trial is 1/20).
Now, the probability of not flooding in the next year can be calculated using the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.
Therefore, the probability of not flooding in the next year can be calculated as follows:
P(not flooding) = 1 - P(flooding)
P(not flooding) = 1 - 0.05
P(not flooding) = 0.95
So, the probability of not flooding in the next year is 0.95 or 95%. This means that there is a high likelihood that the region will not experience flooding in the next year.
However, it's important to note that the probability of flooding in any given year is still greater than 0, which means that there is always a possibility of flooding occurring, regardless of whether it occurred in the previous year or not.
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Which sequence of transformations would result in a figure that is similar but not congruent to the original figure?
B) Dilation and rotation is the sequence of transformations would result in a figure that is similar but not congruent to the original figure
What is Dilation and Rotation transformation?
Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.
Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.
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Pa help po Pythagorean Theorem Grade-9 Topic letter B po sana
B.) A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the house, how tall is the ladder? Draw a diagram and show all work
The height of the ladder leaning against the side of a 10m house, with its base 3m away, is approximately 9.54m.
To find the height of the ladder leaning against the side of a 10m house with its base 3m away, we can use the Pythagorean theorem.
Let's denote the height of the ladder as "h" and the distance from the base of the ladder to the house as "b".
According to the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the ladder, the distance from the base to the house, and the height of the ladder form a right-angled triangle.
Using the Pythagorean theorem, we have:
h^2 = 10^2 - 3^2
h^2 = 100 - 9
h^2 = 91
Taking the square root of both sides to find "h", we get:
h ≈ √91
h ≈ 9.54 (rounded to two decimal places)
Therefore, the height of the ladder is approximately 9.54m.
To draw a diagram, imagine a right-angled triangle where the vertical side represents the height of the ladder, the horizontal side represents the distance from the base to the house, and the hypotenuse represents the ladder itself.
The vertical side should be labeled as "h," the horizontal side as "b" (3m), and the hypotenuse as "10m."
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write an equation for the line for each graph
The equation of each of the lines are:
1. y = 1/3x - 1
2. y = 3x + 1
3. y = 2/3x - 1
4. y = 3x
5. y = -2/3x - 1
6. y = 1/3x - 1
7. y = -3x + 2
How to Write the Equation of a Line?To write the equation of a line, find the following:
Slope (m) = rise/runy-intercept (b) = the point where the line intersects the y-axis.1. Slope (m) = rise/run = 1/3
y-intercept (b) = -1.
To write the equation, substitute m = 1/3 and b = -1 into y = mx + b:
y = 1/3x - 1
2. Slope (m) = rise/run = 3/1 = 3
y-intercept (b) = 1.
To write the equation, substitute m = 3 and b = 1 into y = mx + b:
y = 3x + 1
3. Slope (m) = rise/run = 2/3
y-intercept (b) = -1.
To write the equation, substitute m = 2/3 and b = -1 into y = mx + b:
y = 2/3x - 1
4. Slope (m) = rise/run = 3/1 = 3
y-intercept (b) = 0.
To write the equation, substitute m = 3 and b = 0 into y = mx + b:
y = 3x
5. Slope (m) = rise/run = -2/3
y-intercept (b) = -1.
To write the equation, substitute m = -2/3 and b = -1 into y = mx + b:
y = -2/3x - 1
6. Slope (m) = rise/run = 1/3
y-intercept (b) = -1.
To write the equation, substitute m = 1/3 and b = -1 into y = mx + b:
y = 1/3x - 1
7. Slope (m) = rise/run = -3/1 = -3.
y-intercept (b) = 2.
To write the equation, substitute m = -3 and b = 2 into y = mx + b:
y = -3x + 2
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Gavin divided his notebook into 8 equal parts. He plans to use 3 parts to take notes for math and 2 parts for reading. He has school from 8:30 A.M to 3:30 P.M. what fraction of his notebook does he have left?
Pls help I well mark you a brainliest...
Answer:
Gavin has 3 parts left.
Step-by-step explanation:
8-3-2=3. The time was not important.
dont mind the dots already on the graph I was just trying to guess
Step-by-step explanation:
i wanna know too tho......