Answer:
X = 8
Step-by-step explanation:
5(x + 8) = 9x + 8
multiply the left side to become:
5x + 40 = 9x + 8
move x's to one side and the other whole numbers to the other side:
40-8 = 9x - 5x
32 = 4x
Divide by 4 to both side so that x is by itself:
32/4 = x
8 = x
Answer:
x = 8
Step-by-step explanation:
1. Distribute the 5 among the x and 8 in the paraenthees
2. Subtract 8 from both sides (put together like terms to 40)
3. Subtract 5x from both sides (put together like terms)
4. Divide x (4x) by 32.
Hope this helps! :))))
Bonsoir, j’ai besoin d’aide pour l’exo 135 je suis bloqué, merci d’avance
Answer:
Je suis désolé, mais je ne sais pas à quoi fait référence l'exo 135. Pouvez-vous me donner plus de détails sur ce que vous cherchez à comprendre ou résoudre ? Je suis heureux de vous aider si je peux comprendre la question.
anyone please help on my 7th grade math
Answer:
okay i will gladly
PLS HELP! 7TH GRADE MATH
Answer:
volume=l*h which is going to be
8*7 which gives 49
Which choice is equivalent to the product below when x is less then or equal to 0?
SOLUTION
To solve this, let's first simplify, we have
\(\begin{gathered} \sqrt{4x^2}\times\sqrt{20x^2} \\ 2x\times\sqrt{20}\times x \\ 2x^2\times\sqrt{4\times5} \\ 2x^2\times2\times\sqrt{5} \\ 4x^2\times\sqrt{5} \\ =4x^2\sqrt{5} \end{gathered}\)Hence the answer is option C
Which equation could generate the curve in the graph below?
Answer:
There is no graph
Step-by-step explanation:
what ratio is commonly used as an alternative to 3.14?
Answer:
it is typically 22 to 7
Step-by-step explanation:
if you divide 22 by 7 you get 3.142857143...
Answer:
22/7
Step-by-step explanation:
You want to know a ratio commonly used as an alternative to 3.14 for an approximation to pi.
ApproximationsThe value 3.14 as an approximation of pi is obtained by simply truncating the value to 2 decimal places. That makes the approximation lower than the actual value by about 0.0507%.
Rational approximations can be found from the expression of pi as a continued fraction. Truncating that fraction at various points gives the approximations ...
22/7 . . . . high by about 0.0402%
333/106 . . . . low by about 0.0026%
355/113 . . . . . high by about 0.0000085%
22/7 is the most commonly used rational approximation of pi instead of 3.14.
__
Additional comment
The continued fraction is non-repeating. It starts ...
\(3+\cfrac{1}{7+\cfrac{1}{15+\cfrac{1}{1+\cfrac{1}{292+\cfrac{1}{1+\dots}}}}}\)
Hurry plzzzzzz !!!!!!!
Solve the following inequality:
- 4x + 14 = 54
the answer to this question is -10.
A student bikes to school by traveling first d
N
= 0.900 miles north, then d
W
=0.400 miles west. and finally d
S
=0.100 miles south. Similarly, let
d
W
be the displacement vector corresponding to the second leg of the student's trip. Express
d
W
in component form. Express your answer as two numbers separated by a comma. Be careful with your signs.
The displacement vector dW corresponding to the second leg of the student's trip can be expressed as (-0.400, 0) miles.
To find the displacement vector dW for the westward leg of the trip, we need to consider the overall displacement from the starting point.
The student first travels 0.900 miles north, so the displacement vector dN for this leg is (0, 0.900) miles.
Then, the student travels 0.400 miles west. Since this is a westward displacement, the x-component of the displacement vector dW will be negative, and the y-component will be zero. Therefore, the displacement vector dW can be expressed as (-0.400, 0) miles.
Finally, the student travels 0.100 miles south. Since this is a southward displacement, the y-component of the displacement vector dS will be negative, and the x-component will be zero. Therefore, the displacement vector dS can be expressed as (0, -0.100) miles.
To find the overall displacement vector d, we sum the individual displacement vectors:
d = dN + dW + dS
d = (0, 0.900) + (-0.400, 0) + (0, -0.100)
d = (-0.400, 0.900 - 0.100)
d = (-0.400, 0.800) miles
Hence, the displacement vector dW for the westward leg of the trip can be expressed as (-0.400, 0) miles. The x-component represents the westward displacement, which is -0.400 miles, and the y-component represents the northward displacement, which is 0 miles.
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Find the slope and the equation of the tangent line to the graph of the function at the given value of x. y=x 4
−10x 2
+9;x=1 The slope of the tangent line is (Simplify your answer.) The equation of the tangent line is
The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.
The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.
Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:
dy/dx = 4x^3 - 20x
To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:
dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16
Therefore, the slope of the tangent line is -16.
To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:
y - y(1) = -16(x - 1)
Expanding the equation and simplifying, we have:
y - y(1) = -16x + 16
Rearranging the equation, we obtain the equation of the tangent line:
y = -16x + (y(1) + 16)
To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.
In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.
The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.
To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.
Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).
The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.
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10. Julio is driving to the store. The average distance d, in miles, he travels over t minutes is given by the
function d(t) = 0.5t. What is the value of the function when t = 15?
Answer:
7.5 miles
Step-by-step explanation:
Given the equation d(t) = 0.5t, all you need to do is plug in the value of t.
They're asking what the Function equals, and they're giving you the value of the variable t.
To solve, write the equation d(15) = 0.5(15)
And if you simplify the right side of the equation, you'll find that
d(15) = 7.5
If t represents time, then you can conclude that Julio travels 7.5 miles in the time t, of 15 minutes.
ANSWER PLEASE! ASAP WILL AWARD BRAINLIEST (scam answers will be reported)
Answer:
70% probability that a senior or debater is selected
Step-by-step explanation:
50 students total
12 on the debate team
23 seniors
that leaves us with 15 students that are neither senior or debaters.
that means we have a probability of 35/50 students or 70% probability
(35/50=0.7 or 70%)
Brainliest if correct
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Electricty what is the voltage V of an electron circuit with a current C of 2-j and an impedence i of 3+2j? Use the formula v=ci
The value of the voltage of the electricity is 6 + j + 2j²
How to determine the voltage of the electricity?From the question, we have the following parameters that can be used in our computation:
C = 2 - j
I = 3 + 2j
The formula of voltage is given as
V = CI
Substitute the known values in the above equation, so, we have the following representation
V = (2 - j) * (3 + 2j)
Open the brackets
So, we have
V = 6 + 4j - 3j + 2j²
Evaluate the like terms
V = 6 + j + 2j²
Hence, the voltage is 6 + j + 2j²
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a penny is found to have a mass of grams. using unit analysis, show what the mass of this penny is in pounds.
mass of the penny in pounds is 0.00220462 pounds.
To explain this, we can use unit analysis to convert the mass from grams to pounds. We know that there are 453.592 grams in one pound, so we can set up a conversion factor:
1 pound / 453.592 grams
To convert the mass of the penny in grams to pounds, we can multiply the given value by this conversion factor:
( X grams ) * ( 1 pound / 453.592 grams )
Simplifying this expression, the grams unit cancels out, leaving us with the mass of the penny in pounds:
( X / 453.592 ) pounds
Plugging in the given mass of the penny in grams, we get:
( Y grams ) * ( 1 pound / 453.592 grams ) = ( Y / 453.592 ) pounds
the mass of the penny in pounds is ( Y / 453.592 ) pounds, which is approximately 0.00220462 pounds.
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Solve for x in the equation
Answer:
x = -1 + ⟌17
Step-by-step explanation:
You want to solve the equation for x by finding a, b, and c of the quadratic formula
ind a parametric equation for a line through the point (1, -3, 5) and parallel to the vector 5i 3j − k . write your answer as a comma separated list of equations in x, y, z.
the parametric equation for the line is:
x = 1 + 5t
y = -3 + 3t
z = 5 - t
We can write the parametric equation of the line as:
x = 1 + 5t
y = -3 + 3t
z = 5 - t
where t is a parameter.
Note that the direction vector of the line is (5, 3, -1), which is parallel to the given vector 5i + 3j - k. We can see that the x-coordinate changes by 5t, the y-coordinate changes by 3t, and the z-coordinate changes by -t.
Since the line passes through the point (1, -3, 5), we substitute t=0 into the above equations to get:
x = 1
y = -3
z = 5
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What is the volume of the triangular prism in the above
picture?
Volume = 1/2 (length*width * height)
8 in.
14 in.
- 7 in.
Answer:
we know volume of triangular prism is A×h. i.e area of the base of prism and height of prism.
So,area of the base(A) =(1÷2)b×h
Step-by-step explanation:
area of base triangle(A)=(1÷2)b×h
=(1÷2)8×7
=28
volume=A×h
= 28×14
=392
Find the surface area of the following shape. Round to the tenths place
Okay, here we have this:
Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:
Then we will use the following formula:
A= πrL + πr^2
Replacing:
A= π(4 m)(10 m) + π(4 m)^2
A= 40π m^2 + 16π m^2
A= 56π m^2
A≈175,9 m^2
Finally we obtain that the surface area of the cone is approximately 175,9 m^2.
the product of 40 and distance to thr finish line
The result of multiplying 40 by the distance to the finish line is equal to the total distance covered.
To calculate the product of 40 and the distance to the finish line,
1. Determine the distance to the finish line. This could be measured in any unit of length, such as meters or feet.
2. Take the value of the distance to the finish line and multiply it by 40. This can be done by simply multiplying the two numbers together.
Result = Distance to finish line * 40
3. Perform the multiplication to find the product. The result will be the total distance covered from the starting point to the finish line.
For example, if the distance to the finish line is 100 meters:
Result = 100 * 40
= 4000 meters
Therefore, the product of 40 and the distance to the finish line is 4000 meters.
Remember to adjust the units of the result based on the units used for the distance to the finish line.
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Which is the best estimate for the length this tube
Answer:
Step-by-step explanation:
A store sells 12 cans of soup for 7.50 how much will it cost for 6 cans of soup
Answer:
answer is 3.75 step-by-step explanation:
750÷2= 375 ..3.75
Find x when y=2 for y=6x+8
2. Elizabeth was at the grocery store. She bought 3 pounds of apples at $0.89 per pound, 2 pounds of oranges at $0.53 per pound, and a loaf of bread that cost $1.39. How much, in all, did Elizabeth spend at the grocery store? L - Line Up a Plan: addition Step 1 -Choose an operation(s): Step 2 - Write your plan out using only words (remember to use no numbers in this step):
Answer:
$5.12
Step-by-step explanation:
First, we need to identify what she bought for how much:
Elizabeth bought 3 pounds of apples for 89c a pound (.89*3)
She bought 2 pounds of oranges for 53c a pound (.53*2)
And she bought a loaf of bread for $1.39 (1.39)
apples = .89*3 = $2.67
oranges = .53*2 = $1.06
bread = 1.39*1 = $1.39
Now that we know the values of the individual items she bought, we can add them up:
$2.67
+$1.06
+$1.39
= $5.12
(All in all, in the end this is just some simple addition and multiplication)
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answer:
The equation of Nolan's line is \(y=2x+3\)
Step-by-step explanation:
The slope-intercept form of a line is given by:
\(y=mx+b\)
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
\(y = 2x+3\)
Hence,
The equation of Nolan's line is \(y=2x+3\)
Answer:
The answer is y 2x + 3.
Step by step:
Because i know
what step cadence is used during the ymca 3-minute step test?
This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm.
The step cadence used during the YMCA 3-minute step test is a set of three stepping cycles per each 20-second period. This means that the participant takes a total of nine steps within each 20-second period. In other words, the participant steps up and down on the platform at a rate of approximately 24 steps per minute. It is important to maintain this consistent step cadence throughout the entire test in order to get an accurate measure of cardiovascular fitness. Overall, the YMCA 3-minute step test is a simple and effective way to assess an individual's aerobic fitness level.
The YMCA 3-minute step test utilizes a specific step cadence to measure an individual's cardiovascular fitness. The answer is that during the test, a cadence of 96 beats per minute (BPM) is used. This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm. Upon completion of the test, the participant's heart rate is measured for a minute to determine their fitness level. The test results can be compared to established norms to gauge overall cardiovascular health and endurance.
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Konnor earns $10 an hour mowing lawns. He spends $17 a day on fuel. Konnor's earnings can be represented by the linear relation $10h - $17 = E, where h represents hours worked and E is Konnor's total earnings. If he works 9 hours a day, what are his earnings?
What is the distance between Point P and Point Q on the number line? Enter the answer in the box.
Answers R
Step-by-step explanation:
pls help Find the area of the shape shown below.
\text{ units}^2 units
2
Answer:
8 sq units
Step-by-step explanation:
area of square in middle is 2 x 2 = 4 sq units
area of one triangle is 1/2(2)(2) = 2 sq units
however, there are two triangles, so you have to double 2 to get 4
4 + 4 = 8
Answer:
8cm^2
Step-by-step explanation:
Method 1: It's a trapezium, so take the top length, (6cm), add it to the bottom length (2cm) = 8cm which is then divided by 2 (4cm) then multiplied by the height (2cm) giving an area of 8cm squared.
Method 2: area of the square = 2 x 2 = 4cm^2
Triangle 1: 2 x 2 = 4, divided by 2 = 2cm^2
Triangle 2: same as triangle 1.
Total: 4 + 2 + 2 = 8cm^2
Frances can complete 91 oil changes in 7 days.
How many oil changes can Frances complete in 11 days?
Answer:
143. Divide 91/7 = 13, then take the number of oil changes per day and times it by 11. 13 x 11 = 143.
Step-by-step explanation:
Answer:
113.75
Step-by-step explanation:
Since 11 days is only 4 days away from 11, divide 91 / 4 = 22.75. Add this number to 91 to get the answer.