Expand and combine like terms.
(2x3 + 4x5)2 =
Answer:
52
Step-by-step explanation:
(2x3 = 6
4x5 = 20)
(6+20) = (26)
(26)2 = 52
=52
Please help, give Brainliest
Answer:
0.44, or 8/18
Step-by-step explanation:
The probability of it being blue is 8/18 or 0.444... (0.44)
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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\(v = s³\)if a cube has a volume of 64 cubic meters, what is the length of each edge
the length of each edge = 4m
Explanation:
Volume = 64m³
Volume of a cube = length³
if length = s
v = s³
64 = s³
Cube root both sides:
\(\begin{gathered} \sqrt[3]{64}\text{ = }\sqrt[3]{s^3} \\ 4\text{ = s} \end{gathered}\)Therefore, the length of each edge = 4m.
how many presents are between 40_45 years old
The length of each of the two congruent sides of an isosceles triangle
is 2n +7 and the length of the third side is 3n
Draw and label the isosceles triangle.
Answer:
To find the perimeter you add the length of all sides.
1). 2n + 7 + 2n + 7 + 3n = perimeter
2). 2(2n + 7) + 3n = perimeter
Step-by-step explanation:
Hope this helps!! :)
Which is the minimum or maximum value of the given function? A.The function has a maximum value of В. The function has a maximum value of -2. C. The function has a minimum value of -2. D. The function has a minimum value of 1
Answer:
D
Step-by-step explanation:
$500 at 4% for 3 years
:FIND THE INTEREST EARNED
Answer:60$
Step-by-step explanation:
Please help with number 4
Answer:
yes
Step-by-step explanation:
9(b_5)
multiply 9 with everything in the bracket:
9×b=9b
9×5=45
:9(b-5)
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed.
Part A: Find the constant of proportionality. Show every step of your work.
Part B: Write an equation that represents the relationship. Show every step of your work.
Part C: Describe how you would graph the relationship. Use complete sentences.
Part D: How many gallons of water are needed for 12 scoops of drink mix?
Answer:
A. 1/4 gal/scoop
B. w = 1/4s
C. line through the origin with slope 1/4; s-, w- axes labeled "scoops" and "gallons"
D. 3 gallons
Step-by-step explanation:
Given 2 scoops of powdered drink mix needs 1/2 gallon of water, you want (A) the constant of proportionality, (B) the equation for the relationship, (C) a description of the graph, (D) gallons for 12 scoops.
Proportional relationshipA proportional relationship between gallons of water (w) and scoops of drink mix (s) can be written as ...
w = ks
where k is the constant of proportionality.
A Proportionality constantSolving the equation for k, we get ...
k = w/s
Using the given values, we find k to be ...
k = (1/2 gal)/(2 scoops) = 1/4 gal/scoop
The constant of proportionality is 1/4 gallon per scoop.
B EquationWe show the equation in part A. Filling in the value of k gives ...
w = 1/4s . . . . . . . where s is number of scoops, and w is gallons of water
C GraphThe attached shows a graph. A line starts at the origin with slope 1/4; s-, w- axes are labeled "scoops" and "gallons". The practical domain is s ≥ 0, so no part of the graph is in the 3rd quadrant.
D 12 scoopsThe equation tells you that 12 scoops will require ...
w = 1/4·12 = 3 . . . . gallons
3 gallons of water are needed for 12 scoops of drink mix.
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Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds. The old fish tank holds 20 gallons of water. How many gallons of water should her new fish tank hold? O A. A. 15 gallons B. 35 gallons OC. 60 gallons D. 80 gallons E. 95 gallons
Answer:
b
Step-by-step explanation:
75 percent of 20 is 15 and 100 percent of 20 is 20
The number of gallons of water should her new fish tank hold is to be considered as the option b. 35 gallons.
Calculation of the number of gallons:Since
Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds.
The old fish tank holds 20 gallons of water.
So we can say that
= 75% of 20 + 100% of 20
= 15 + 20
= 35
Hence, the option b is correct.
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Ano ang sagot o product ng 5 at 5 ? A. 15 B. 20 c. 25 D. 25
Two hot air balloons are traveling along the same path from a town beginning from different locations at the same time. Henry balloon begins 15 miles from the town and is 31 miles from town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y equals 5x + 25. Which plan was farther from the town at the beginning in which travel more quickly
Answer:
Henry's balloon was farther from town at first, but Tasha's balloon traveled more quickly.
Step-by-step explanation:
Which ordered pair
describes a point
with location in the
second quadrant?
A. (-6, -5)
B. (-6, 5)
C. (6, 5)
D. (6, -5)
Answer:
B) (-6,5)
Step-by-step explanation:
Quadrant I: (+,+)
Quadrant II: (-,+)
Quadrant III: (-,-)
Quadrant IV: (+,-)
Convert the fraction below into a decimal 23/40?
Answer:
Step-by-step explanation:
23/40 = 0.575
30 students in a class took an algebra test.
If 21 students passed the test, what percent passed?
Answer:
70%
Step-by-step explanation:
21/30 p/100
30/30=2,100/30=70
Which complex number lies in the shaded triangle in this graph?
Answer: 1-i
Step-by-step explanation: If your in algebra 2 then this is the answer
Write an expression for the area of the figure shown above
Answer:
\(\red{ \bold{ 7 {x}^{2} + 180x + 324 = 0}}\)
Step-by-step explanation:
Given is an isosceles right triangle.
Therefore, by Pythagoras theorem:
\( {(5x + 18)}^{2} = {( - 3x)}^{2} + {( - 3x)}^{2} \\ \\ \implies \: {(5x)}^{2} + 2(5x)(18) + {(18)}^{2} = 9 {x}^{2} + 9 {x}^{2} \\ \\ \implies \: 25 {x}^{2} + 180x + 324 = 18 {x}^{2} \\ \\ \implies \: 25 {x}^{2} - 18 {x}^{2} + 180x + 324 = 0 \\ \\ \implies \: \ \red{ \bold{ 7 {x}^{2} + 180x + 324 = 0}}\\ \\ \)
Humanity would achieve in life expectancy of 110 years in approximately
Humanity would achieve a life expectancy of 110 years in approximately 60 years.
To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.
In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.
110 years - 80 years = 30 years
Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:
30 years / 5.3 years per decade ≈ 5.66 decades
Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.
To calculate the number of years, we multiply the number of decades by 10:
6 decades * 10 years per decade = 60 years
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Solve the following methods:
a) y''-2y'-3y= e^4x
b) y''+y'-2y=3x*e^x
c) y"-9y'+20y=(x^2)*(e^4x)
Answer:
a) To solve the differential equation y''-2y'-3y= e^4x, we first find the characteristic equation:
r^2 - 2r - 3 = 0
Factoring, we get:
(r - 3)(r + 1) = 0
So the roots are r = 3 and r = -1.
The general solution to the homogeneous equation y'' - 2y' - 3y = 0 is:
y_h = c1e^3x + c2e^(-x)
To find the particular solution, we use the method of undetermined coefficients. Since e^4x is a solution to the homogeneous equation, we try a particular solution of the form:
y_p = Ae^4x
Taking the first and second derivatives of y_p, we get:
y_p' = 4Ae^4x
y_p'' = 16Ae^4x
Substituting these into the original differential equation, we get:
16Ae^4x - 8Ae^4x - 3Ae^4x = e^4x
Simplifying, we get:
5Ae^4x = e^4x
So:
A = 1/5
Therefore, the particular solution is:
y_p = (1/5)*e^4x
The general solution to the non-homogeneous equation is:
y = y_h + y_p
y = c1e^3x + c2e^(-x) + (1/5)*e^4x
b) To solve the differential equation y'' + y' - 2y = 3xe^x, we first find the characteristic equation:
r^2 + r - 2 = 0
Factoring, we get:
(r + 2)(r - 1) = 0
So the roots are r = -2 and r = 1.
The general solution to the homogeneous equation y'' + y' - 2y = 0 is:
y_h = c1e^(-2x) + c2e^x
To find the particular solution, we use the method of undetermined coefficients. Since 3xe^x is a solution to the homogeneous equation, we try a particular solution of the form:
y_p = (Ax + B)e^x
Taking the first and second derivatives of y_p, we get:
y_p' = Ae^x + (Ax + B)e^x
y_p'' = 2Ae^x + (Ax + B)e^x
Substituting these into the original differential equation, we get:
2Ae^x + (Ax + B)e^x + Ae^x + (Ax + B)e^x - 2(Ax + B)e^x = 3xe^x
Simplifying, we get:
3Ae^x = 3xe^x
So:
A = 1
Therefore, the particular solution is:
y_p = (x + B)e^x
Taking the derivative of y_p, we get:
y_p' = (x + 2 + B)e^x
Substituting back into the original differential equation, we get:
(x + 2 + B)e^x + (x + B)e^x - 2(x + B)e^x = 3xe^x
Simplifying, we get:
-xe^x - Be^x = 0
So:
B = -x
Therefore, the particular solution is:
y_p = xe^x
The general solution to the non-homogeneous equation is:
y = y_h + y_p
y = c1e^(-2x) + c2e^x + xe^x
c) To solve the differential equation y" - 9y' + 20y = x^2*e^4x, we first find the characteristic equation:
r^2 - 9r + 20 = 0
Factoring, we get:
(r - 5)(r - 4) = 0
So the roots are r = 5 and r = 4.
The general solution to the homogeneous equation y" - 9y' + 20y = 0 is:
y_h = c1e^4x + c2e^5x
To find the particular solution, we use the method of undetermined coefficients. Since x^2*e^4x is a solution to the homogeneous equation, we try a particular solution of the form:
y_p = (Ax^2 + Bx + C)e^4x
Taking the first and second derivatives of y_p, we get:
y_p' = (2Ax + B)e^4x + 4Axe^4x
y_p'' = 2Ae^4x +
Samir bought 3 pounds of cement to repair the cracks in his sidewalk.
Each crack needs to be filled with 2 ounces of cement.
Answer:
The answer is 24 cracks will be filled
Step-by-step explanation:
hope it helps :3
16 ounces in a pound. convert pounds to ounces
calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.
The amount of cracks to be filled : 48 /2 = 24 cracks
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
With a mean of $32,500 and a standard deviation of $2,500. The z-score for a sales associate who earns $37,500 is 2.
The z-score, also known as a standard score, is a measure of how many standard deviations a given value is from the mean. It is used to standardize the data and make it easier to compare and interpret. The formula for the z-score is:
z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
In this case, the mean annual salary for sales associates from a particular store is $32,500 and the standard deviation is $2,500. We want to find the z-score for a sales associate who earns $37,500. Plugging in the values, we get:
z = ($37,500 - $32,500) / $2,500 = 2
This means that the sales associate's salary is 2 standard deviations above the mean.
Interpreting the z-score can help us understand how unusual or typical a given value is in comparison to the mean. In this case, a z-score of 2 indicates that the sales associate's salary is relatively high compared to the mean, but it is not an extremely high salary.
We can use a standard normal table to find the proportion of the data that falls below a given z-score, or to find the corresponding value for a given proportion of the data.
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Use the translation (x,y) → (x - 5,y + 1) to find
what point (-2,-10) translates to:
Answer:
xy - x + 5y - 1
Step-by-step explanation:
hope this helps
An examination consists of multiple-choice questions, each having five possible answers. Linda estimates that she has probability 0.4 of knowing the answer to any question that may be asked. If she does not know the answer, she will guess, with conditional probability 1/5 of being correct.A. What is the probability that Linda gives the correct answer to a question? B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?
Answer:
a. 0.52 = 52% probability that Linda gives the correct answer to a question.
b. 0.7692 = 76.92% probability that Linda knows the answer
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Supplies the correct answer:
Event B: Knows the answer
A. What is the probability that Linda gives the correct answer to a question?
0.4(knows the answer)
1/5 = 0.2 of 1 - 0.4 = 0.6(guesses the answer). So
\(P(A) = 0.4 + 0.2*0.6 = 0.52\)
0.52 = 52% probability that Linda gives the correct answer to a question.
B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?
Intersection of events A and B is knowing the answer and giving the correct answer, which means that \(P(A \cap B) = 0.4\)
The desired probability is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.52} = 0.7692\)
0.7692 = 76.92% probability that Linda knows the answer
Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
y=x4 and y=125x
The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).
Let,
f(x) = 125x
g(x) = x⁴
Intersection points will be,
x⁴ = 125x
x = 0 , 3.3437
Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)
=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)
=\(\pi\)[15625x³/3 - x⁹/9]₀³
=\(\pi\)[140625 - 2187]
= 138438\(\pi\)
The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.
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help me please (I have to write something to send this question)
Answer: -7
Step-by-step explanation: so ann would be at 0. beth lives five AWAY. so -5. and carl lives two blocks from beth
The blocks run west-east, do it goes from right-left. In the number right-left is from negative-zero-positive.
Ann's house is located at 0.
Beth's house is located 5 blocks from Ann, 0 + 5 = 5
Carl's house is located 2 blocks from Beth = 2 + 5 = 7.
Check the attached picture.
Please help me with this properties of circles maze. If you can’t see the lower left box is 56 degrees.
All boxes should be used. S Find the measure of DAE Find x (3x+25)*.
How do you find the properties of a circle?Circle Properties
The circles are said to be congruent if they have equal radii.
The diameter of a circle is the longest chord of a circle.
Equal chords of a circle subtend equal angles at the center.
The radius drawn perpendicular to the chord bisects the chord.
Circles having different radii are similar.
What are the properties of angles in a circle?The following four properties and their proofs were introduced: Property 1: The angles at the center and at the circumference of a circle subtended by the same arc. Property 2: Angles at the circumference are subtended by a diameter. Property 3: Angles at the circumference of a circle subtended by the same arc.
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Jay works at a sandwich shop. He needs to make 7 turkey sandwiches. Each sandwich will have 1/3 of a pound of turkey. How many pounds of turkey will Jay need to make the sandwiches? Remember what of means! And remember to press submit after you answer the question
Answer:
Jay will need 2 and 1/3 pounds of turkey.
Step-by-step explanation:
Since Jay uses 1/3 per sandwich and is making 7, multiply 7 by 1/3.
That gets you 7/3s
Convert it into a mixed number.
3 goes into 7 twice, with one third left over.
So, Jay needs 2 1/3.
hope this helped!
Answer:
approximately 2.3 pounds of turkey. Trust the BlueDragon
Step-by-step explanation:
7 times 1/3= 2.33333
c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
Please help me... find the area of this shape
Answer:
16x^2
Step-by-step explanation:
what is the value of "x"?