Answer:
\(x=-3.05\)
Step-by-step explanation:
\(\frac{-2}{5(x+3)} =8\)
1. The first step is to distribute the 5 to the (x+3) which changes \(\frac{-2}{5(x+3)} =8\\\) to \(\frac{-2}{5x+15} =8\).
2. The second step is to get x out of the denominator, so in order to do that, you have to multiply 5x+15 to both sides of the equation. Doing that cancels out the 5x+15 on the left side of the equation and changes the right side of the equation so it looks like this:
\(-2=8(5x+15)\)
3. The third step is to distribute the 8 to (5x+15) which changes the equation to look like:
\(-2=40x+120\)
4. The fourth step is to get x by itself so you want to get 120 on the left side of the equation so it looks like this:
\(-2=40x+120\)
-120 -120
\(-122=40x\)
5. Finally to solve for x we have to divide by 40 to each side because right now 40 is being multiplied to x, so the answer will look like this:
\(\frac{-122}{40}=\frac{40x}{40}\)
\(x=-3.05\)
How do you convert 313 yards to inches? Use the drop-down menus to explain your answer.
Since there are___ inches in 1 yard,313 by___ .
So, 313 yards = ____ inches.
Answer:
Since there are 36 inches in 1 yard,313 by 36 .
So, 313 yards = 11,268 inches.
Step-by-step explanation:
There are 36 inches in one yard
To get your answer, you'll multiply 313 yards by 36 inches
=313×36
=11,268
So 313 yards=11,268 inches
Since there are 36 inches in 1 yard,313 by 36 .
So, 313 yards = 11,268 inches.
Since they are 36 inches in 1 yard, multiply 313 by 36, So 313 yards equal 120 inches.
Its actually up the answer but 210 is correct tho
Step-by-step explanation:
I did this question and got it right so dont worry . (savvas Realize)
Which expression is equal to
Answer:
\(\cfrac{\left(x+8\right)\left(x-8\right)}{x^2+13}\)
Step-by-step explanation:
\(\cfrac{x+8}{x+2}\cdot \cfrac{\left(x+2\right)\left(x-8\right)}{x^2+13}\)
\(\cfrac{\left(x+8\right)\left(x+2\right)\left(x-8\right)}{\left(x+2\right)\left(x^2+13\right)}\)
\(\cfrac{\left(x+8\right)\left(x-8\right)}{x^2+13}\)
Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
brainliest Plsssss
Find the Celsius temperature that corresponds to 110°F.
Answer:
43 celcius
Step-by-step explanation:
You are preparing for a trip to Canada. At the time of your trip, each U.S. Dollar is worth 1.293 Canadian dollars and each Canadian dollar is worth 0.773 U.S. Dollar. a. You exchange 150 U.S. Dollars for Canadian dollars. How many Canadian dollars do you receive?
Answer:
193.95 Canadian dollars
Step-by-step explanation:
Given: Each U.S. Dollar is worth 1.293 Canadian dollars and each Canadian dollar is worth 0.773 U.S. Dollar.
To find: Value of 150 U.S. dollars in terms of Canadian dollars
Value of 1 U.S. dollar = 1.293 Canadian dollars
To find 150 U.S. dollars in terms of Canadian dollars, multiply 150 by 1.293
Value of 150 U.S. dollars in terms of Canadian dollars = 150 × 1.293 = 193.95 Canadian dollars
Solve x² + 5x - 14 = 0
By solving the equation x² + 5x - 14 = 0 get the value of x is 2 or -7.
Given,
In the question:
To solve the equation:
x² + 5x - 14 = 0
Now, According to the question:
x² + 5x - 14 = 0
Split the middle term into two terms :
x² - 2x + 7x - 14 = 0
Factor the first two terms and the last two terms separately
x(x - 2) + 7 (x -2) = 0
Factor out
(x - 2) (x + 7) = 0
Apply Zero Product Property
x - 2 = 0 or x + 7 = 0
x = 2 or x = -7
Hence, By solving the equation x² + 5x - 14 = 0 get the value of x is 2 or -7.
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Can someone help me out my grads are bad
Answer:
shen's new area will be 1200 ft ^ 2
It will be 2 times the original
Donna should increase the length by 5 times
Step-by-step explanation:
Original length = 40
New length = 30 x 4 = 120
Original width = 20
New width = 20 x 5 = 100
120 x 100 = 12000 ft^2
12000/600 = 20
It will be 20 times larger
For Donna:
ex:
length = 1
width = 2
Area = 2
He wants it to be 15 times 2
Lisa says increase 4 times
2 x 3 = 6
30/6 = 5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
a) 120 ft x 100 ft = 12000 \(ft^{2}\)
b) 20 times
c) 5 times
Step-by-step explanation:
a) 30x4 = 120
20x5 = 100
120x100 = 12000
b) 12000/600 = 20
c) 15/3 = 5
You have attempts remaining Mr. Wutz owns hot dog business named 'Wutz upDogs.' The daily profit function, dollars; when hot = dogs= are sold given (65' 7)(s? by P(e) Evaluate P' (6). P'(5) dollars per hot Jop
The value of P'(5) = 65 and P'(6) = 65.
Mr. Wutz owns a hot dog business called 'Wutz upDogs.' The daily profit function is given by P(x) = 65x + 7, where x is the number of hot dogs sold.
To evaluate P'(6), the derivative of P(x) at x = 6, we need to use the power rule for derivatives. The power rule states that d/dx(xn) = nxn-1. Therefore, P'(6) = 65(6)1 = 65 dollars per hot dog.
To evaluate P'(5), the derivative of P(x) at x = 5, we use the same power rule. Therefore, P'(5) = 65(5)1 = 65 dollars per hot dog.
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The following graph predicts the time it takes to hike different distances. Which statements about the graph are true?
(Choice A)
A
The point (0, 0)(0,0)left parenthesis, 0, comma, 0, right parenthesis predicts that it takes 000 hours to hike 0 \text{ km}0 km0, start text, space, k, m, end text.
(Choice B)
B
The point (3, 7.5)(3,7.5)left parenthesis, 3, comma, 7, point, 5, right parenthesis predicts that it takes 7.57.57, point, 5 hours to hike 3 \text{ km}3 km3, start text, space, k, m, end text.
(Choice C)
C
None of the above
Answer:
The answer is \(A\\\)
Answer:
A
Step-by-step explanation:
I got it right on khan
3/5+(−1/4) DIVIDED BY 7/10
Answer:
0.5
Step-by-step explanation:
Well, first of all, I dislike dividing by fractions, so let's turn these fractions into decimals.
\(\frac{3}{5} + \frac{-1}{4} / \frac{7}{10}\)
0.6 + -0.25 ÷ 0.7
Now we an solve.
0.60 - 0.25 = 0.35
0.35 ÷ 0.7 = 0.5
inverse functions
Given that f(X)=2x-3 and g(X)=3x+1÷x+2
Answer:
765(7-()83)₹8_!_?84?8₹92092)8₹+!_()
Consider nonnegative integer solutions of the e
quation x₁ + x2 + x3 + x₁ + x5 + x6 = 30. Q2.1 3 Points How many different solutions are there?
There are 33 different nonnegative integer solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ + x₆ = 30.
To find the number of different solutions, we can use a combinatorial approach. The equation x₁ + x₂ + x₃ + x₄ + x₅ + x₆ = 30 represents a partition of 30 into 6 nonnegative integers. We can visualize this as distributing 30 identical objects (representing the sum) into 6 distinct boxes (representing the variables), with the constraint that each box can have any nonnegative number of objects.
Using stars and bars method, we can solve this problem. Imagine representing the sum of 30 as a sequence of 30 stars (**************...). We can then place 5 bars to divide these stars into 6 groups, corresponding to the variables. The bars act as separators between the stars, determining the values of the variables. For example, if we have the sequence ***|***|*****|***|**|**, it means x₁ = 3, x₂ = 3, x₃ = 5, x₄ = 3, x₅ = 2, and x₆ = 2.
The number of different solutions is then equal to the number of ways to arrange the 30 stars and 5 bars. This can be calculated using the formula for combinations with repetition, which is (n + k - 1) choose (k - 1), where n is the number of stars and k is the number of bars. In this case, we have (30 + 5 - 1) choose (5 - 1), which simplifies to 34 choose 4. Evaluating this expression gives us the answer of 33 different solutions to the equation.
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Lupe put $12,000 in a certificate of deposit that gained interest at a rate of 6.5%. How much interest did the account gain after 3 months?
Answer:
$195
Step-by-step explanation:
We use the simple interest formula.
I = Prt
I = Interest
P = Principal (initial value)
r = Interest rate
t = Time (years)
P = $12,000
r = 6.5% which we convert to a decimal by dividing by 100 6.5/100 = .065
t = 3 months which we convert to years by dividing by 12 3/12 = 1/4 = .25
Plug in the values
I = 12000 * .065 * .25
I = $195 interest gained
Answer:
195
Step-by-step explanation:
3 month is .25 years
6.5/100 = .065
12000 x .065 x .25 = 195
Which pair of angles is an example of supplementary angles?
A. Angle 1 and Angle 7
B. Angle 3 and Angle 6
C. Angle 2 and Angle 7
D. Angle 1 and Angle 4
Answer:
I would give you a straight answer if I could see the angles, but all I can say with this is that supplementary angles are angles that add up to 180 degrees.
Hope that helps!
Answer:
A. Angle 1 and Angle 7
Step-by-step explanation:
Angle 1 and Angle 7 are not equal but add up to 180° So your answer is A
is 2.125 a rational number
Answer: Yas
Step-by-step explanation:
(04.01)
On a coordinate grid, both point (3, 5) and point (−2, −4) are reflected across the y-axis. What are the coordinates of the reflected points?
(−3, 5) and (2, 4)
(−3, 5) and (2, −4)
(−3, −5) and (−2, −4)
(3, −5) and (−2, −4)
Answer:
The coordinates of the reflected points are (-3,5) and (2,-4)!
Step-by-step explanation:
Hope this helps you!
What percentage would the wand need to have exactly a 50% chance of winning
the wizard standoff?
Answer:
What percentage would the wand need to have exactly a 50% chance of winning the wizard standoff?
a;50
CAN SOMEONE HELP ME I ONLY HAVE 3 MINUTES LEFT
Answer:
every thing is timed by 4
Step-by-step explanation:
Identify the property that justifies each step asked about in the answer area below.
\text{Line 1: }\phantom{=}
Line 1: =
\,\,(4x)(7y)
(4x)(7y)
\text{Line 2: }\phantom{=}
Line 2: =
\,\,4\cdot (x\cdot 7)\cdot y
4⋅(x⋅7)⋅y
\text{Line 3: }\phantom{=}
Line 3: =
\,\,4\cdot (7\cdot x)\cdot y
4⋅(7⋅x)⋅y
\text{Line 4: }\phantom{=}
Line 4: =
\,\,(4\cdot 7)(x\cdot y)
(4⋅7)(x⋅y)
\text{Line 5: }\phantom{=}
Line 5: =
\,\,28xy
28xy
Line 1 to Line 2:
Line 2 to Line 3:
Line 3 to Line 4:
The multiplication properties that justify each step are given as follows:
Line 1 to Line 2: Associative property.Line 2 to Line 3: Commutative property.Line 3 to Line 4: Associative property.What are the multiplication properties?The multiplication properties used in this problem are the associative property and the commutative property, defined as follows:
Associative property: When more than two terms are multiplied, the order in which they are multiplied does not change the product.Distributive property: When more than two terms multiplied, the order in which they are multiplied does not change the product.Hence the associative property was used from line 1 to line 2 and from line 3 to line 4, as the parenthesis defines which operation was made first.
Then the distributive property was used from line 2 to line 3, as the order of the terms x and 10 was exchanged.
Missing InformationThe problem is given by the image shown at the end of the answer.
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help me in this one Please Please Please Please Please Please Please Please
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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Find the exact length of the curve. y = In(sec(x)), 0≤x≤ Need Help? Read It π 4 Watch It
The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:
To solve for the length of the curve of y = In(sec(x)), we use the formula,
`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.
We know that:`f′(x) = d/dx[In(sec(x))]`
Using the formula of logarithm differentiation, we can write the above equation as:
`f′(x) = d/dx[In(1/cos(x))]`
So,`f′(x) = -d/dx[In(cos(x))]`
Therefore,`f′(x) = -sin(x)/cos(x)`
Substituting the values, we get:
`L = ∫[a,b] √[1+(f′(x))^2] dx`
`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`
`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`
`L = ∫[0,π/4] sec(x) dx`
Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.
We calculate the constant by substituting the values of `a = 0` and `b = π/4`:
`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`
`L = ln(√2 + 1) - ln(1 + 0)`
`L = ln(√2 + 1)`
Thus, the exact length of the curve is `ln(√2 + 1)` units.
Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.
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3x - 4y = 11 ; y = -x+6 with substitution
Answer:
(5, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x - 4y = 11
y = -x + 6
Step 2: Solve for x
Substitution
Substitute in y [1st Equation]: 3x - 4(-x + 6) = 11[Distributive Property] Distribute -4: 3x + 4x - 24 = 11Combine like terms: 7x - 24 = 11[Addition Property of Equality] Isolate x term: 7x = 35[Division Property of Equality] Isolate x: x = 5Step 3: Solve for y
Substitute in x [2nd Equation]: y = -5 + 6Add: y = 1help
Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no viterval is specified, use the real numbers (-00)
Evaluate the function at critical points and endpoints. The highest value is the absolute maximum, and the lowest is the absolute minimum.
To find the absolute extrema of a function, we need to evaluate the function at critical points and endpoints of the given interval.
If no interval is specified, we consider the entire domain of the function, which is the set of real numbers (-∞, +∞).
The absolute extrema occur at the highest and lowest points on the graph.
To determine the extrema, follow these steps:
Find the critical points by taking the derivative of the function and setting it equal to zero.
Evaluate the function at the critical points and endpoints.
The highest value is the absolute maximum, and the lowest value is the absolute minimum.
Note the x-values at which these extrema occur.
By applying these steps, we can determine the absolute extrema of the function over the specified interval or the entire real number line.
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The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently measures 120 ft by 80 ft, and the expansion will increase its area by 4,400 ft2. By how many feet should the length of the parking lot be increased?
A = lw
As per given length and width measures 120 ft by 80 ft, after expansion increase in area by 4400 ft² then increase in length by 20 feet.
As given in the question,
Length of the parking lot is 120 ft
Width of the parking lot is 80 ft
Expansion in the given dimensions are with same amount
Increase in area after expansion is 4400 ft²
let x be the required increase in the dimensions
New area after expansion = (120 × 80) +4400
= 14000 ft²
= (140 × 100 )ft²
= ( l × b )
New length after expansion is 140 ft
New width after expansion is 100 ft
Increase in length = 140 - 120
= 20 ft
Increase in width = 100 - 80
= 20 ft
Therefore, As per given length and width measures 120 ft by 80 ft, after expansion increase in area by 4400 ft² then increase in length by 20 feet.
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if you help me I will make you branliest
This exercise is about creating two-dimensional shapes. The resulting shape is a quadrilateral - Square. See the attached for the lines drawn.
What was noticed about the two lines drawn?
The two lines are drawn each had parallel pairs; andThey were perpendicular to one another.What is the meaning of perpendicularity?
When two lines intersect with one another such that they create a right angle, perpendicularity has occurred and both lines are said to be perpendicular to one another.
Hence:
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vector a= 2i+ 3j - 5k.what is the value of 3a?
Answer:
The answer is 6î + 9j – 15k
Step-by-step explanation:
Given;A = 2î + 3j – 5kTo Find;Value of 3ASo,
A = 2î + 3j – 5k
Multiply The value of A with 3 we get,
3A = 3(2î + 3j – 5k)
3A = 6î + 9j – 15k
Thus, The value of 3A is 6î + 9j – 15k
-TheUnknownScientist 72
working together, it takes two different sized hoses 40 minutes to fill a small swimming pool. if it takes 60 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.
Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40
Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60
Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60
The amount of swimming pool filled in 1 minute = (60 - 40)/2400
The amount of swimming pool filled in 1 minute = 20/2400
The amount of swimming pool filled in 1 minute = 1/120
Total time taken to fill swimming pool = 1 ÷ (1/120)
Total time taken to fill swimming pool = 120 minutes
Thus, 120 minutes are required.
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13.At the Finch School bake sale, donuts sell
for $2 each muffins sell for $3 each. A
combined total of 104 donuts and muffins
are sold, resulting in $243 in sales. Which
of the following statements must be true?
a. 69 more muffins were sold than donuts.
b. 34 more muffins were sold than donuts.
c. 34 more donuts were sold than muffins.
d. 69 more donuts were sold than muffins.
Answer:
c)
Step-by-step explanation:
create a system of equations:
d + m = 104
2d + 3m = 243
now use substitution method based on 'd = 104 - m'
2(104 - m) + 3m = 243
208 - 2m + 3m = 243
208 + m = 243
m = 35
So, 35 muffins and 69 donuts were sold.
This is 34 more donuts than muffins.
likert-type scale response choices must be balanced at the ends of the response continuum.
that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.
An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.
balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.
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