Name two ways that saving and investing are different
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Related Questions
_+_=10.5_-3.25=_find that unknown to match each equation
Answers
We have:
\(\begin{gathered} x+y=10.5 \\ x-3.25=y \end{gathered}\)Then:
\(\begin{gathered} x+(x-3.25)=10.5 \\ 2x-3.25=10.5 \\ 2x=10.5+3.25 \\ 2x=13.75 \\ x=\frac{13.75}{2} \\ x=6.875 \end{gathered}\)\(y=x-3.25=6.875-3.25=3.625\)The numbers are 6.875 and 3.625.
50 Points! Multiple choice algebra question. One factor of x^3+4x^2-11x-30=0 is x+2. Find the remaining factors. Photo attached. Thank you!
Answers
The solution to the above algebra question is (b) x-3, x+5.
What is the explanation for the above response?To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.
We set up the synthetic division table as follows, using -2 as the divisor:
-2 | 1 4 -11 -30
|____-2__-4___30
| 1 2 -15 0
The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:
x^2 + 2x - 15 = (x - 3)(x + 5)
Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.
The correct answer is (b) x-3, x+5.
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PLEASE HELP URGENT I NEED THIS LIKE RIGHT NOW PLEASE HELP MEEEEEEEE
Answers
Answer:
45
Step-by-step explanation:
Answer:
The length of the body is 45.
Step-by-step explanation:
The violin and bass have an equal ratio, to find the ratio find the two given lengths and divide them, 72 ÷ 24 = 3. So the ratio is 3:1. To find the body of the bass you just have to do 15 × 3. Which is 45.
An experiment was used to test a new migraine medicine. Each participant took either the new medicine or a placebo
then waited for one hour to see if the headache went away or remained. The results are compiled in the contingency
table below. Use the table to answer the questions.
Went Away| Medicine| Placebo
Remained|. 120. |. 68
18. | 44
Your answers should be exact numerical values.
There were
participants whose headache remained.
The probability of randomly selecting an individual whose headache remained is
There were
participants whose headache remained and took a placebo.
The probability of randomly selecting an individual whose headache remained and took a placebo is
Answers
1) Number of participants whose headache remained is: 62
2) The probability of randomly selecting an individual whose headache remained is: 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933
How to find the probability of random selection?From the table, we have the parameters as:
Number of participants that took medicine and headache went away = 120
Number of participants that took placebo and headache went away = 68
Number of participants that took and headache remained = 18
Number of participants that took placebo and headache remained = 44
1) Number of participants whose headache remained = 18 + 44 = 62
2) The probability of randomly selecting an individual whose headache remained is:
62/(62 + 120 + 68)
= 62/150
= 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is:
44/150 = 0.2933
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A rectangle has a perimeter of 20 cm. What will the perimeter be if the rectangle tripled in size?
ITS A VOLUME QUESTION
Answers
Answer:
Step-by-step explanation:
Holding the perimeter fixed, the shape with greatest area is square ( all sides of the same) length) For your name example a square with a perimeter of 20 cm has sides of 5 cm and area of 5 times 4=20 cm) ^3 hope this helps
Given: AAEB and ADFC, ABCD, AE || DF, EB || FC, AC = DB
Prove: AEAB AFDC
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By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.
Proving that Triangles are EqualGiven:
- Triangle ΔAEB and ΔDFC
- Line ABCD is straight (implies AC and BD are collinear)
- AE is parallel to DF
- EB is parallel to FC
- AC = DB
To prove: ΔEAB ≅ ΔFDC
Recall that:
AE || DF
EB || FC
AC = DB
AE || DF, EB || FC (Parallel lines with transversal line AB)
Corresponding angles are congruent:
∠AEB = ∠DFC (Corresponding angles)
∠EAB = ∠FDC (Corresponding angles)
Corresponding sides are proportional:
AE/DF = EB/FC (Corresponding sides)
AC/DB = BC/DC (Corresponding sides)
AC = DB
BC = DC (Equal ratios)
ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)
∠EAB = ∠FDC
∠AEB = ∠DFC
AC = DB, BC = DC
Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.
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Help quick please. Order the numbers from least to greatest.
Answers
Answer:
\(-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|\)
Step-by-step explanation:
Mod of any number represents the absolute value of the number.
Therefore, \(|-2\frac{1}{4}|=2\frac{1}{4}\) = 2.25
\(-2\frac{1}{4}=-2.25\)
\(|1\frac{1}{4}|=1.25\)
\(\frac{3}{4}=0.75\)
\(|-1\frac{3}{4}|=1\frac{3}{4}=1.75\)
\(-1\frac{1}{4}=-1.25\)
Now we can arrange these numbers in ascending order.
-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25
Therefore, \(-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|\)
(7+3/2) power of 3 in math
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(7+3/2)^3
Answer: 614.125
To round to the nearest whole number it would be 614
hope this helped =)
23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.
HELP!
Answers
Answer:
the IQR is 71
Step-by-step explanation:
the Xl is 99 and the Xu is 170. Xu-Xl=71
Solve the proportion using cross products.
18/20=k/110
A. 99
B. 122
C. 3.3
D. 2.9
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Divide the numbers
1
8
2
0
=
1
1
0
18
20
=
k
110
2018=110k
9
1
0
=
1
1
0
9
10
=
k
110
109=110k
2
Multiply all terms by the same value to eliminate fraction denominators
3
Simplify
Solution
9
9
=
99
=
k
99=k
A woman had 88 goats.20 of them died.how many did he remains with.
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Answer:
68 i think..........
Step-by-step explanation:
(⌒_⌒;)
Maya is considering three possible shapes for the container that will hold the stones. The shapes are shown below in the diagram. Part A: Find the volume of each shape. Show your work. (use π = 3.14, and write your answer to nearest whole number) Part B: Based on part A, which of these three shapes would be Maya’s best choice for a container for the stones? Enter your answer and explain your answer in the space provided.
Answers
Answer:
wow that's a lot lol
Step-by-step explanation:
i needthe points i'm ssrry
Is the following relation a function? (1 point) x y −1 −2 2 3 3 1 6 −2 No Yes
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Answer:
Yes because no same x-value resulted in different y-values.
Answer:
Yes
Step-by-step explanation:
2y-4=3y-5 How Many solutions have?
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Solve the above equation by combining like terms and isolating the variable and it should give you y = 1
Answer:
one solution
Step-by-step explanation:
solve it.
2y-4=3y-5
-y=-1
y=1
paula used these steps to solve an equation
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We can conclude that the division property of equality was done between step 4 and step 5.
What is linear equation ?
Linear equation can be defined as the equation in which the highest degree is one.
The Division Property of Equality states that when both sides of an equation are divided by the same nonzero number, both sides remain equal.
That is, if a, b, and c are real numbers such that a = b and c ≠0, then
a/c = b/c
At step 4: The equation was -6x = 57
To move to step 5, Paula had to divide both sides by the co-efficient of x (-6) in order to get the value of x. See below
-6x = 57
---- Divide both sides by -6 (Step 4)
-6x / -6 = 57 / -6
---- (Intermediary between step 4 and 5)
x = -9.5
----- Step 5
Hence, we can conclude that the division property of equality was done between step 4 and step 5
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A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?
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The formula for the volume of a rectangular prism is:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
We know that the height of the rectangular prism is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same. Let's call the length of the base x.
Then, we can write:
V = lwh
24.768 = x * x * 17.2
24.768 = 17.2x²
x² = 1.44
x = 1.2
Therefore, the length of the base of the rectangular prism is 1.2 cm.
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
In this problem, we know that the height is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same.
Therefore, we can write the equation:
24.768 = x² * 17.2
To solve for x, we can divide both sides by 17.2, and then take the square root of both sides:
x² = 24.768 / 17.2
x² = 1.44
x = sqrt(1.44)
x = 1.2
Therefore, the length of the base of the rectangular prism is 1.2 cm.
Find the value of k for which y = 3x + k is a tangent to the curve y = 2x^2 - 3x + 8
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The value of k is 3.5 for which y = 3x + k is a tangent to the curve y = 2x^2 - 3x + 8.
How to find the slope of tangent?The derivative helps determine the slope of the tangent at any point on the curve.
The slope of the tangent line y = 3x + k is 3.
dy/dx = 4x - 3
3 = 4x - 3
6 = 4x
x = 1.5
Plug this into the curve's original equation.
\(y = 2x^2 - 3x + 8\\y = 2(1.5)^2 - 3(1.5) + 8\\y = 8\)
Therefore, the tangent line y = 3x + k and the curve y = 2x^2 - 3x + 8 intersect at the point (1.5, 8). This is the point of tangency.
\(y = 3x + k\\\\8 = 3(1.5) + k\\\\k = 8- 4.5\\\\k = 3.5\)
Thus, the value of k is 3.5 for which y = 3x + k is a tangent to the curve y = 2x^2 - 3x + 8.
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2) A 25 foot ladder leans against a house. The base of the ladder is 7 feet
away from the house. What is h, the height of the house? #2 pleasee
Answers
Step by step
Using Pythagorean theorem, we can find the height of the right triangle
We know a= 7, we know c= 25, we need to find b
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
Subtract 49 from both sides to solve b
49 - 49 + b^2 = 625 - 49
b^2 = 576
Take square root of both sides
√ b^2 = √ 576
b = 24 ft
Now according to the drawing, the ladder did not go to the top of the house, we need to add 11 ft to 24 ft = 35 ft total height
Find the two numbers whose sum is54 and whose difference is 4
Answers
Answer: I can not see the picture
Step-by-step explanation:
can you show it?
Difference is 4: X - Y = 4
Solve for one variable first.
X = 4 + y (rewritten from second equation)
Now plug into the first equation for x
4 + y + y = 54
4 + 2y = 54 (subtract 4)
2y = 50 (divide by 2)
Y = 25
Now use Y to solve for X
X - 25 = 4 (add 25 on each side)
X = 29
A man is climbing up a ladder set against the wall of a house. As he climbs
to the top, the covers the distance of 4 feet horizontally and 10 feet
vertically. What is the ladder's angle of elevation? Determine the answer to
the thousandth degree . *
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Suppose that a local TV station conducts a survey of a random sample of 120 registered voters in order to predict the winner of a local election. The Democrat candidate was favored by 62 of the respondents.
Required:
a. Construct and interpret a 99% CI for the true proportion of voters who prefer the Republican candidate.
b. If a candidate needs a simple majority of the votes to win the election, can the Republican candidate be confident of victory? Justify your response with an appropriate statistical argument.
Answers
Answer:
a) The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).
b) The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
Sample of 120 registered voters in order to predict the winner of a local election. The Democrat candidate was favored by 62 of the respondents.
So 120 - 62 = 58 favored the Republican candidate, so:
\(n = 120, \pi = \frac{58}{120} = 0.4833\)
99% confidence level
So \(\alpha = 0.01\), z is the value of Z that has a p-value of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 - 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.3658\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 + 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.6001\)
The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).
b. If a candidate needs a simple majority of the votes to win the election, can the Republican candidate be confident of victory? Justify your response with an appropriate statistical argument.
The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.
Find the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of pi
9 pi cm
24pi cm
12pi cm
бpi cm
Answers
Step-by-step explanation:
diameter = 6cm
radius = diameter ÷ 2
= 6 ÷ 2
= 3cm
circumference = 2π × radius
= 2 π × 3cm
= 3π cm
-----------------------------FOLLOW MEWhat is the average rate of change for this quadratic
function for the interval from x=2 to x = 4?
A. 12
B. -6
C. -12
D. 6
-10-
Click here for long description
SUBMIT
Answers
The average rate of change of the function over the interval is -6
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From x = 2 to x = 4
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(2) = -3
f(4) = -15
Next, we have
Rate = (-15 + 3)/(4 - 2)
Evaluate
Rate = -6
Hence, the rate is -6
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calculate the Area of parallelogram GDEF if the base is 5m and the altitude is 3,2m
Answers
Step-by-step explanation:
the area of a parallelogram is
baseline × height = 5 × 3.2 = 16 m²
Someone please help me with this ASAP
Answers
Answer:
lol no thanks for the points
Step-by-step explanation:
dwadawdwadawdssadws
Date:
1
1. Nathan has nickels, dimes, and quarters in the ratio of 3:2:5. If 33 of Nathan's coins are nickels, how many dimes
and quarters does Nathan have?
Answers
If there are 33 nickels then there are 22 dimes and 55 quarters, Nathan has.
Given : the nickels, dimes and quarters are in the ratio 3:2:5.
Out of which 33 of Nathan's coins are nickels.
Which means we have 3x nickels , 2x dimes and 5x quarters for some positive whole number x.
Therefore, we have 33 nickels.
Set 3x equal to 33 and solve for x.
3x = 33
x = 11
now substitute the value of x in the other number to get the values of dimes and quarters.
dimes = 2x
= 2(11)
= 22
Quarters = 5x
= 5(11)
= 55
Therefore we have 22 dimes and 55 quarters.
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Melanie is reading a book that has 577 pages. She has already read 187 pages of the book and will read an additional 26 pages per night. Solve 187 + 26n = 577 to find how many more nights it will take Melanie to finish the book.
Answers
Answer:
15 nights
Step-by-step explanation:
187+26n=577
-187 -187
26n=390
divide 26 on both sides
n=15
an integer smaller than -5 but greater than -8
Answers
Answer:
so what is the question?
q=you+have+50+blueberries+and+75+scone.+You+want+to+make+as+many+identtical+bags+as+possible.+Each+bag+should+have+an+equal+number+of+blueberry+scones+and+an+equal+number+of+cranberry+scones.+What+is+the+greatest+number+of+bags+you+can+fill&cvid=1ea9df65fe52425e9572dfee62446327&pglt=43&FORM=ANNTA1&PC=DCTS
Answers
Answer:
uhmmmmm... i no understand...
Step-by-step explanation:
Answer:
25 baggies; each bag has 2 blueberry scones, and three cranberry scones.
Step-by-step explanation:
The question format is a bit bugged, but I assume the question is asking "You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. What is he greatest number of bags you can fill?"
The first thing to realize when solving this question is that whatever the answer is equal to, it must be able to be equally divided from both 50 and 75, otherwise it will have a remainder, and at least one bag will have too many or not enough scones.
This means that the answer must be a factor of both 50 and 75.
The factors of 50 includes {1, 2, 5, 10, 25, 50}
The factors of 75 includes {1, 3, 5, 15, 25, 75}
In the two sets, only 1, 5, and 25 are common factors. Of the three factors, 25 is the greatest number, and thus the greatest number of bags that can you can fill.
Can somebody please help?? i’ll give Brainliest to whoever answers first.
There are 625 students in Leon's school. He takes a random sample of 75 students from the entire school population. In the sample, 33
students are planning to attend the end of year picnic.
Based on his data, how many students from the entire school are planning to attend the end of year picnic? Show ALL your work!
Answers
Answer:
The answer is 275 students.
Step-by-step explanation:
In 75 students, 33 students attend.
So the ratio is 33/75.
so multiply with 625.
625 x 33/75 = 275