Answer:
B.
Step-by-step explanation:
Solve y = x³ for x if y = - 1000.
Answer: x = - 10
Step-by-step explanation:
We will use the equation given, substitute -1,000 in for y, and solve.
y = x³
(1,000) = x³
\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)
- 10 = x
x = - 10
Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 16 planters cost?
Answer:
Hope this helps
Step-by-step explanation:
If 6 planters= $18 then 16 planters= 16x 18 divided by 6 =$48
Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.
A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.
Answer:
D. Yes, because f(x) = g(x) when x = 2.Step-by-step explanation:
Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2
-7/5x +4/5= x- 4
If x = 2
f(2) = -7/5 (2)+ 4/5
f(2) = -14/5 + 4/5
f(2) = -10/5
f(2) = -2
g(x) = x - 4
g(2) = 2-4
g(2) = -2
Since f(2) = g(2), hence the lines intersects at x = 2
Answer: abidemiokin is ritgh
Step-by-step explanation:
6x = 52 − 2y 5x + 7y = 70 Question 1 What is the first step when solving the given system by the elimination method?
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equations are given below.
6x = 52 - 2y
6x + 2y = 52
3x + y = 26 ...1
5x + 7y = 70
(5/7)x + y = 10 ...2
Subtraction equation 2 from equation 1, then we have
3x - (5/7)x = 26 - 10
(16/7)x = 16
x = 7
Then the value of 'y' is given as,
3(7) + y = 26
21 + y = 26
y = 5
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
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2 triangles are connected a common side. The length of one side is 2 x + 3. Its corresponding side on the second triangle is 9. The length of another side is y minus 4. Its corresponding side on the second triangle is 7. Which of the following pairs of values for x and y would justify the claim that the two triangles are congruent? x = 3, y = 11 x = 5, y = 5 x = 7, y = 9 x = 9, y = 7
Answer:
x = 3, y = 11
Step-by-step explanation:
SSS for congruent
2x+3 = 9
x = 3
y-4 = 7
y = 11
Based on the fact that congruent triangles have corresponding side lengths that are equal, the pairs of values of x and y that would justify that the two triangles are congruent is: x = 3, y = 11
Recall:
If two triangles are congruent, the length of their corresponding side lengths will be equal.
Thus, given that:
side length of one triangle measuring 2x + 3 corresponds to the other side length of the other triangle measuring 9, thus, we will have:
2x + 3 = 9
Solve for x2x = 9 - 3
2x = 6
x = 3
Also:
y - 4 = 7
Solve for yy = 7 + 4
y = 11
Therefore, based on the fact that congruent triangles have corresponding side lengths that are equal, the pairs of values of x and y that would justify that the two triangles are congruent is: x = 3, y = 11
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Which of the following functions is graphed below?
O A. y - x - 61+3
O B. y - x + 61-3
O C. y = x +61+3
D. y - x - 61-3
Answer:
B
Step-by-step explanation:
Since the vertex of the function is (-6, -3), we know the equation must be y = |x + 6| - 3.
Answer:
B. |x+6|-3
Step-by-step explanation:
Well we can tell by looking at the graph that the line has a y-intercept of +3,
meaning we can cross out choices A and C.
Now we can graph B and D,
Look at the image below ↓
By looking at the graphed lines we can tell that y = |x+6|-3 is the correct answer.
Wel can also conclude that choice B is correct because of its vertex being at (-6,-3).
Thus,
answer choice B is the correct answer.
Hope this helps :)
Every day the Washington pet store uses 3/4 of a bag of dog food to feed the dogs his many days will 1 1/2 bags of dog food last
Answer:
2 days
Step-by-step explanation:
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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I need help with this please
all because all of the equianlangular triangles are equal
Make a rap about why a parallelogram is the best shape. Must be appropriate and at least a minute long. Giving brainless to whoever answers!!!
Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:
Yo, listen up, the parallelogram is where it's at,
A shape so brilliant, the angles are sat.
Parallel sides that never converge,
Internal angles that never diverge.
Each side an equal length,
A geometry prodigy's dream length.
The diagonals intersect, another line through the middle they meet,
Creating symmetry so neat.
A rectangle it could be,
But it's oblong, not square, can't you see?
With depth and width in perfect balance we see,
A two-dimensional form of complexity.
While the square is simple, the parallelogram is hip,
A mathematical masterpiece, skip, skip, skip!
four right angles keep the shape so tight,
Parallel lines dominate left and right.
Rotated or reflected without a care,
Its structural integrity beyond compare.
triangles form at each corner you'll note,
Acute or obtuse, depends on the protractor's groove.
A versatile shape with reason and purpose galore,
The parallelogram, simply, carries the floor.
From geometry to art, its angles they intrigue,
As a basis for patterns, its potential we can truly plug.
A forgotten form that deserves more acclaim,
Put the parallelogram on geometry's game!
This shape so underrated, rarely appreciated it seems,
But with logic and virtue, strong foundations it gleams.
The parallelogram, the parallelogram, Hooray!
This is why the parallelogram is the best shape, I say!
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
Why is it important for a company to create an income statement?
Find the first three terms of the sequence, Classify the sequence as arithmetic ( give d value ), geometric ( give r value ), both, or neither..... Sn = 10n
The first three terms of the sequence are 10, 20, and 30.
How to depict the sequence?The function given is 10n. In this case, the terms will be:
First term = 10n = 10 × 1 = 10
Second term = 10 × 2 = 40
Third term = 10 × 3 = 30
In this case, the first three terms of the sequence are 10, 20, and 30.
It an arithmetic sequence as there is a common difference of 10.
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Which of the following could be its measure?
A. 92
B.180
C.240
D.360
Answer:
180 is a straight angle so B
Prove the following this?
Our initial assumption that S is non-empty must be false. Therefore, for every x ε W, f(x) < x.
To prove the given statement, let's assume that (W, <) is a well-ordered set and f: WW is an increasing function. We need to show that f(x) < x for each x ε W.
Since (W, <) is a well-ordered set, every non-empty subset of W has a minimum element. Let's consider the set S = {x ∈ W | f(x) ≥ x}. Suppose S is non-empty.
By the well-ordered property of (W, <), S has a minimum element, let's call it a. Since a is the minimum element of S, it implies that for all x < a, f(x) < x, because if f(x) ≥ x for any x < a, then x would be an element of S smaller than a, contradicting the assumption that a is the minimum element of S.
Now, let's consider f(a). Since f is an increasing function, f(a) ≥ f(x) for all x < a. But we also know that f(x) < x for all x < a. Combining these two inequalities, we get f(a) < x for all x < a, which means f(a) is an element of S smaller than a, contradicting the assumption that a is the minimum element of S.
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Which statements are true about dilations? Select all that apply.
Dilations produce images that have a center that is the same as the pre-image.
What is dilations?Dilations are a type of transformation that change the size, shape, and orientation of an object. Dilation is a math operation that enlarges or reduces the size of an object or figure. It is a linear transformation that stretches or contracts shapes, which preserve the shape's angles and proportions. Dilation can be used to increase or decrease the area of a shape, or to change the distance between two points.
True statements about dilations are:
• Dilations produce images that are similar to the pre-image.
• Dilations produce images that have angles that are congruent to the pre-image.
• Dilations produce images that have sides that are proportional to the pre-image.
• Dilations produce images that have a center that is the same as the pre-image.
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Complete questions as follows-
Which statements are true about dilations? Select all that apply.
Dilations produce images that are similar to the pre-image.
Dilations produce images that are always congruent to the pre-image.
Dilations produce images that have angles that are congruent to the pre-image.
Dilations produce images that have sides that are congruent to the pre-image.
Dilations produce images that have sides that are proportional to the pre-image.
ACTIVITY 2 Continued
> Solve each problem.
Kathy works after school to finish assembling the 82 favors needed for the school
dance. When she starts at 3:15 PM, she counts the 67 favors already assembled.
She works until 4:30 PM to finish the job.
How many favors can Kathy assemble each minute?
Answer:
.2
Step-by-step explanation:
3:15 to 4:30 is 75 minutes
she had to assemble 15 since there were already 67 made
divide 15/75
.2 per minute
33 Calculaţi, dând factor comun:
a 26*(-12) +26 (-18) + 26.40;
c (-18) (-22) + (-18) (-36) + (-18) - 8;
b 15*(-34) - 15*21 +15*35;
d -26* (-12) - 26*(-18) - 26*40.
Cu rezolvare nu doar rezultatul
Răspuns:
260; 1188; -300; - 260
Explicație pas cu pas:
A.)
26 * (- 12) +26 (-18) + 26,40;
26 (- 12 - 18 + 40)
26 (10)
= 260
C.)
(-18) (-22) + (-18) (-36) + (-18) - 8;
-18 (- 22 - 36 - 8)
-18 (-66)
= 1188
b.)
15 * (- 34) - 15 * 21 + 15 * 35;
15 (-34 - 21 + 35)
15 (- 20)
= - 300
d.)
-26 * (-12) - 26 * (- 18) - 26 * 40.
-26 (- 12 - 18 + 40)
-26 (10)
-260
Mikoto graphed (shown below) the relationship between the temperature (in °C) and her cat's change in
weight (in g) over the last 10 days.
What is the meaning of point A?
Answer:
Point a tells us at 9 degrees Celsius mikoto cat lost 2 g
Step-by-step explanation:
Thank you hope this helps❤
Answer: A
Step-by-step explanation: I got it right on khan Academy
Please help me, answer all
Ena Ena’s recipe for dinner roles requires 1000 grams of flour to make 24 rolls.
Answer: 3'000 for 72 rolls
250 grams for 6 rolls
42 grams for 1 roll
r=42f
2380 grams makes 57 rolls
Step-by-step explanation:
-Since it takes 1000 for 24 rolls, and you want to make 72, you will need to divide 72 by 24, resulting in a quotient of 3, next you will have to multiply 1000 by 3, to keep the ratio even, meaning you need 3000 grams of flour for 72 rolls.
-Next, since Ena wants to make 6 rolls, you will need to divide 6 by 24, because it is less than the standard unit amount (24) and will result in decimals coming in to play, after dividing you should be left with 0.25, which then u can throw into an equation with 1000, resulting in needing 250 grams for 6 rolls
-To make 1 roll, you'll need to divide 1000 by 24, because since it takes a 1000 grams to make 24 rolls, that means if you divide it by 24 you can see how much it takes per roll, since we aren't given that information at the start. After dividing, you'll end up with 41.66 grams, or 42 if your teacher wants you to round up to a whole number.
- The proper equation for sourcing the amount of flour required per roll, you want to isolate r, then since f represents 1 gram of flour, all you have to do is multiply it by 42, meaning your equation will look like r=42f
-Lastly since Ena has 2380 grams in her pantry, and it takes 41.66 grams per roll before rounding, you will need to divide 2380 by 41.66, resulting in 57.1, then you can just round it down to 57 because we aren't taking into account parts of the roll, only wholes.
which line has a slope of -1/2?
A.) line d
B.) line c
C.) line b
D.) line a
Answer:
C) line d
Step-by-step explanation:
Line D’s slope is -1/2, so C is the correct answer.
1: The number of hours, h, spent studying and the score s, on a test (find the independent variable and the dependent variable.
Answer:
independent - number of hours (h)
dependent - the score (s)
Step-by-step explanation:
There are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, putting it back in the bag and then picking a black marble?
Answer:
well for me I think
Step-by-step explanation:
2/3×2/3
4/9
since they are replacing the black marbles back
What is the equation of the line that passes through (-3, -1) and has a slope of 3/5?
(slope-intercept form)
A: y = 3/5x + 4/5
B: y = 3/5x - 4/5
C: y = -3/5x - 4/5
The equation of the line passing through (-3, -1) with slope 3/5 is y = (3/5)x + 4/5.
What is point slope form?
The equation of a line is expressed in the point-slope form as follows: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. When we know the slope of a line and a point on the line but not the intercepts, this version of the equation is helpful. It eliminates the need to independently compute the intercepts by allowing us to state the equation of the line in terms of the given point and slope.
Given that, line passes through (-3, -1) and has a slope of 3/5.
The points slope form is given as:
y - y1 = m(x - x1)
Substituting the values we have:
y - (-1) = (3/5)(x - (-3))
y + 1 = (3/5)x + 9/5
y = (3/5)x + 4/5
Therefore, the equation of the line passing through (-3, -1) with slope 3/5 is y = (3/5)x + 4/5.
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Jane bought 6 boxes of beads. She used 14 of it to make face mask holders and also gave 12 of the boxes to her sister. How many boxes of beads were left?
Jane has 6 - 14 - 12 = -20 boxes of beads left.
Jane initially had 6 boxes of beads.
She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.
To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.
First, let's calculate the total number of boxes used and given away:
Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister
Total boxes used and given away = 14 + 12
Total boxes used and given away = 26
Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:
Boxes left = Initial number of boxes - Total boxes used and given away
Boxes left = 6 - 26
Boxes left = -20
The result is -20, which implies that Jane has a deficit of 20 boxes of beads.
This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.
It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.
If the result were positive, it would represent the number of boxes remaining.
However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.
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For one month diera calculated her home towns average high temperature
The answer for this question is Celsius for Fahrenheit.
The Formula for Converting TemperatureTo convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.
(50°F - 32) x.5556 = 10°C, for instance.
When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.
For instance, (30°C x 1.8) + 32 = 86°F'
Here are two useful charts that translate between F and C as well as between C and F.
How to calculate her home towns average high temperature?The temperature of f degrees Fahrenheit converted to degree Celsius.
(( f)=5/9 (f-32)
represent the temperature of f degrees Fahrenheit converted to degree Celsius.
The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.
So that means if the temperature is in Fahrenheit it will be converted to Celsius.
So that means the C(F) represents the Celsius temperature.
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Complete Question -
For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?
Convert the expression (√5)(∛5) to exponential form. Show your work
Answer:
\( {5}^{ \frac{5}{6}}\)
Step-by-step explanation:
\(( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}\)
this is really hard help me please
the see turtle population is modeled by equation p=400 x 5/4 power y
The value of p is 781.25.
What is a population growth?
Population Growth is defined as the increase in the number of individuals in a population is called population growth.
What is a common growth factor?
The growth factor is the ratio between the old price and the new price, once sales tax is included.
We want to know the population when y = 0, or when the number of years is zero.
Substitute the same in the equation
p = (400).\((\frac{5}{4} )^{y}\)
When y = 1 or at the 1st year, the population will be p = (400)(\(\frac{5}{4}\) ) = 500
This means that the population is increasing by a common growth factor of \((\frac{5}{4})\) .
When y = 3, or at year 3 we get the population as p = 400 \((\frac{5}{4} )^{3}\)
= 781.25
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5. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?
The number of points gained overall by Julia playing the game is 30 point
How to determine the number of points gained overall?From the question, we have the following parameters that can be used in our computation:
Tax paid for a new quest = 2.5 points
Total points gained playing the game = 75 points
The above parameters can be represented as
The number of points gained overall = Total points gained playing the game/Tax paid for a new quest
Substitute the known values in the above equation, so, we have the following representation
The number of points gained overall = 75/2.5
Express as a correct fraction
So, we have the following representation
The number of points gained overall = 750/25
Evaluate the quotients
So, we have the following representation
The number of points gained overall = 30
Hence, the number of points gained overall =is30
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