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Questions posted in Mathematics

Which value of x is in the solution set of 2(3x-1)≥4x-6

The value of x is -2

ANSWERED AT 02/06/2020 - 01:40 AM

QUESTION POSTED AT 02/06/2020 - 01:40 AM

Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same? The two populations will be the same after ______ years

Population 1 :784 - 25 t  ( where t stays for the years )Population 2 :817 - 36 t784 - 25 t = 817 - 36 t- 25 t + 36 t = 817 - 78411 t = 33t = 33 : 11t = 3 yearsWe can prove it:784 - 25 * 3 = 784 - 75 = 709817 - 36 * 3 = 817 - 108 = 709709 = 709Answer:The two populations will be the same after 3 years.

ANSWERED AT 02/06/2020 - 01:40 AM

QUESTION POSTED AT 02/06/2020 - 01:40 AM

The middle school is 2.72 km from Marsha's House and 1.54 km from Ryan's house. How much farther does Marshall live from the middle school then Ryan?

The answer is 1.18 km

ANSWERED AT 02/06/2020 - 01:38 AM

QUESTION POSTED AT 02/06/2020 - 01:38 AM

The middle school is 2.72 km from Marsha's house and 1.54 km from Ryan's house. How much farther does Marsha live from the middle school then Ryan

Ryan lives 1.54 km from middle school
Marsha lives 2.72 km from middle school

2.72 - 1.54 = 1.18....Marsha lives 1.18 km further

ANSWERED AT 02/06/2020 - 01:38 AM

QUESTION POSTED AT 02/06/2020 - 01:38 AM

A painting is purchased for \$500. If the value of the painting doubles every 5 years, then its value is given by the function V(t) = 500 ⋅ 2t/5, where t is the number of years since it was purchased and V(t) is its value (in dollars) at that time. What is the value of the painting ten years after its purchase

V(t) = 500 * (2t)/5
after 10 years....t = 10
V(10) = 500 * (2(10))/5 =
500 * 20/5 =
10,000/5=
\$ 2000...its worth 2000 bucks

ANSWERED AT 02/06/2020 - 01:37 AM

QUESTION POSTED AT 02/06/2020 - 01:37 AM

Ivan finished 4/5 of his math homework problems and all 3 questions for his science homework before dinner. If he finished atotal of 43 problems before dinner, what is the total number of math homework problems he was assigned?

M =  # of math problems

4/5m + 3 = 43
4/5m = 43 - 3
4/5m = 40
m = 40 * 5/4
m = 200/4
m = 50 <===there were 50 math problems

ANSWERED AT 02/06/2020 - 01:37 AM

QUESTION POSTED AT 02/06/2020 - 01:37 AM

What is the 7th term in the addition pattern that begins 17, 32, 47, 62

The answer is 107 because for every term the sequence is being added by 15. Therefore 62+15= 77. 77+15=92. 92+15=107, the seventh term is going to be 107

ANSWERED AT 02/06/2020 - 01:37 AM

QUESTION POSTED AT 02/06/2020 - 01:37 AM

Brad sold candy bars and cookies for a fundraiser at school. Candy bars sold for \$3, and cookies sold for \$5. He sold a total of 20 items and made \$76. How many candy bars did Brad sell? (1 point)

He sold 12 candy bars.
3x + 5y = 76
X + y = 20
2y= 16
Y= 8
X= 20 - 8= 12
Hope this helps.

ANSWERED AT 02/06/2020 - 01:36 AM

QUESTION POSTED AT 02/06/2020 - 01:36 AM

How do I solve this problem involving simplifying exponents, squaring, and fractions

Let's solve 1st what is under the radical and the denominator

[√(x⁶.y⁴)] /xy² = x³.y²/xy² = x²

but we still have x⁻¹ that is 1/x so x₂.1/x = x (final answer)

ANSWERED AT 02/06/2020 - 01:36 AM

QUESTION POSTED AT 02/06/2020 - 01:36 AM

Find the six arithmetic means between 1 and 29.

1, ___, ____, _____, _____, _____, ____, 29

29-1 = 28
28/7 = 4
1, 5, 9, 13, 17, 21, 25, 29

ANSWERED AT 02/06/2020 - 01:36 AM

QUESTION POSTED AT 02/06/2020 - 01:36 AM

Tyrone opens a savings account by depositing \$75 in August. He increases each of the next monthly deposits by \$10. Which of the following shows the amounts in Tyrone’s account from August through December? A) \$75, \$85, \$95, \$105, \$115 B) \$75, \$160, \$255, \$360, \$475 C) \$85, \$95, \$105, \$115 D) \$160, \$255, \$360, \$475

Answer:

Answer is C

Step-by-step explanation:

ANSWERED AT 02/06/2020 - 01:36 AM

QUESTION POSTED AT 02/06/2020 - 01:36 AM

What is the measure of rst in the diagram below?

You doing summer school too?

I believe it is 23 degrees

ANSWERED AT 02/06/2020 - 01:36 AM

QUESTION POSTED AT 02/06/2020 - 01:36 AM

A botanist measures a plant, in feet, at the beginning of each month and notices that the measurements form a geometric sequence, as shown below. 2, 2.2, 2.42, 2.662, ... If the first measurement was taken on September 1, about how tall was the plant three months before, on June 1, assuming the same growth pattern? A) 0.9 ft B) 1.5 ft C) 1.7 ft D) 2.0 ft

Answer: Choice B) 1.5 ft

-------------------------------------------------------------------------

Work Shown:

r = common ratio
r = (second term)/(first term)
r = 2.2/2
r = 1.1
Each term is multiplied by 1.1 to get the next term
Eg:
term 2 = 1.1*(term 1)
term 2 = 1.1*2
term 2 = 2.2

Let x be the value three slots before the value 2
So we have x, x*r, x*r^2, x*r^3 where
x = value in June
x*r = value in July
x*r^2 = value in August
x*r^3 = value in September

We just found that r = 1.1. We also know that the value in September is 2. So this means

x*r^3 = 2
x*(1.1^3) = 2
x*1.331 = 2
x*1.331/1.331 = 2/1.331
x = 1.5026 approximately

This rounds to 1.5

ANSWERED AT 02/06/2020 - 01:35 AM

QUESTION POSTED AT 02/06/2020 - 01:35 AM

Which value represents the horizontal translation from the graph of the parent function f(x) = x^2 to the graph of the function g(x) = (x-4)^2+2?

Translation by h (right) and k (up)
g(x)=f(x-h)+k
=f(x-4)^2+2
so h=4, k=2
horizontal translation (to the right) is h=+4, but is shown as -4 for the translation value.

ANSWERED AT 02/06/2020 - 01:35 AM

QUESTION POSTED AT 02/06/2020 - 01:35 AM

What transformation has changed the parent function f(x) = log5x to its new appearance shown in the graph below logarithmic graph passing through point 5, negative 2.

f(x)=log(5x)

We want the curve to pass through (5,-2)

We can move the curve along the plot adding something in the formula. Let’s call that z.

You can put z in different parts of the formula and still find a z value that makes it pass through the point (5,-2). I will choose to put it inside the log:

f(x)=log(5x+z)

f(5)=-2

log(5*5+z)=-2

log(25+z)=-2

10^-2 = 25+z

10^-2 – 25 = z

z=1/100-25 = 1/100-2500/100=-2499/100 = -24.99

Let’s verify:

f(5)= log(5*5-24.99)=-2

So the formula: f(x)=log(5x-24.99) passes through the point (5,-2)

ANSWERED AT 02/06/2020 - 01:34 AM

QUESTION POSTED AT 02/06/2020 - 01:34 AM

Brenda already has \$200 toward the purchase of a new laptop that sells for \$450. She will save \$50 each month, starting next month, until she can buy the laptop. Which of the following represents the amounts she will have each month, starting next month, until she can afford to buy the laptop (assuming there is no sales tax)? A) \$200, \$250, \$300, \$350, \$400, \$450 B) \$250, \$300, \$350, \$400, \$450 C) \$0, \$200, \$250, \$300, \$350, \$400, \$450 D) \$50, \$200, \$450

B) \$250, \$300,\$350,\$400,\$450

ANSWERED AT 02/06/2020 - 01:34 AM

QUESTION POSTED AT 02/06/2020 - 01:34 AM

Based on the data in this two-way table, which statement is true? A. a flower being pink and a flower being a rose are independent of each other. B. a flower being pink is dependent on a flower being a rose. C. a flower being a rose is dependent on a flower being pink. D. a flower being pink and a flower being a rose are the same.

The question is asking to choose among the following choices that state the fact about the said data in the tables, and according to the given data, I would say that the answer would be letter A. a flower being pink and a flower being a rose are independent of each other. I hope this would help

ANSWERED AT 02/06/2020 - 01:33 AM

QUESTION POSTED AT 02/06/2020 - 01:33 AM

Use a graphing calculator to solve the equation -3 cost= 1 in the interval from . Round to the nearest hundredth.

In place of t, or theta, I'm going to utilize x instead. So the equation is -3*cos(x) = 1. Get everything to one side and we have -3*cos(x)-1 = 0

Let f(x) = -3*cos(x)-1. The goal is to find the root of f(x) in the interval [0, 2pi]

I'm using the program GeoGebra to get the task done of finding the roots. In this case, there are 2 roots and they are marked by the points A and B in the attachment shown

A = (1.91, 0)
B = (4.37, 0)

So the two solutions for theta are
theta = 1.91 radians
theta = 4.37 radians

ANSWERED AT 02/06/2020 - 01:33 AM

QUESTION POSTED AT 02/06/2020 - 01:33 AM

Please help me asap !!

The answer is choice A

The line is RS because R and S are on the line.

The plane is RSU because we need at least 3 non-collinear points to form a plane. In this case, point U is not on line RS.

ANSWERED AT 02/06/2020 - 01:33 AM

QUESTION POSTED AT 02/06/2020 - 01:33 AM

The surface area of a rectangular prism is 396 ft2. What is the surface area of this prism measured in yd2?

The answer should be 44 square yards. Hope this helps.

ANSWERED AT 02/06/2020 - 01:33 AM

QUESTION POSTED AT 02/06/2020 - 01:33 AM

What is the common ratio of the sequence? -2, 6, -18, 54,...

The common ratio is -3.

-2 x -3, 6 x -3

ANSWERED AT 02/06/2020 - 01:33 AM

QUESTION POSTED AT 02/06/2020 - 01:33 AM

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ?

Assuming that f(n+1) = f(n) is the full recursive definition, and that there are no typos, then this means that the nth term is equal to the (n+1)th term for any n where n is a positive whole number.

So
f(1) = f(2)
f(2) = f(3)
f(3) = 9

By the transitive property, f(1) = f(3) = 9. Therefore the answer is 9.

ANSWERED AT 02/06/2020 - 01:33 AM

QUESTION POSTED AT 02/06/2020 - 01:33 AM

C2/d at c = 6, d =3 Really confused on this one Can you evaluate the algebraic expressions for the given values of each variable? please

If the C2 is referring to C^2 (c squared), then

C^2 = 6^2 = 6*6 = 36
Note how I replaced the "C" with 6, because C = 6
Squaring a number is the same as multiplying it by itself.

Once you know the value of C^2, you divide it over the value for d, which is 3

So,
(C^2)/d = (36)/3 = 12

The final answer is 12

ANSWERED AT 02/06/2020 - 01:32 AM

QUESTION POSTED AT 02/06/2020 - 01:32 AM

How many bicycle license tags can you make with four numeral spaces? Use 10 digits and no blank spaces.

In this case since repetition is allowed as well as starting with zero, the number of 4 digits chosen among the 10 (from 0 to 9):
the 1st digit can be selected in 10 ways
the 2ndt digit can be selected in 10 ways
the 3rd digit can be selected in 10 ways
the 4th digit can be selected in 10 ways
Or 10 x 10 10 x10 = 10⁴ = 10,000 Arrangements

ANSWERED AT 02/06/2020 - 01:32 AM

QUESTION POSTED AT 02/06/2020 - 01:32 AM

The gray area is the sidewalk. The area of the sidewalk is ___________ square units.

72 square units.
10 x 12= 120
6 x 8 = 48
120 - 48 = 72.
Hope this helps. :)

ANSWERED AT 02/06/2020 - 01:32 AM

QUESTION POSTED AT 02/06/2020 - 01:32 AM

Barb, Shelley, and Darcy are college roommates. Barb goes to the library every 6 days, Shelley goes the library every 7 days, and Darcy goes to the library every 4 days. If all three of them went to the library today, when is the next time that they will all be at the library on the same day?

Ans;  After 83 days i.e. on 84th days

Barb, Shelley, and Darcy are college roommates.

Barb goes to the library every 6 days,

Shelley goes the library every 7 days, and

Darcy goes to the library every 4 days.

If all three of them went to the library today, then the next time that they will all be at the library on the same day will be the LCM of 6,7, and 4 i.e.on 84th day.

ANSWERED AT 02/06/2020 - 01:32 AM

QUESTION POSTED AT 02/06/2020 - 01:32 AM

Evaluate the algebraic expressions for the given values of each variable.r + S2 at r = 4, s = 1I think it's 6 ,am I correct?

Yes u are correct 4 plus 2 equal 6 so u are absolutely correct

ANSWERED AT 02/06/2020 - 01:31 AM

QUESTION POSTED AT 02/06/2020 - 01:31 AM

How do you factor the second equation?

The answer is (2x+1)(x-5)

ANSWERED AT 02/06/2020 - 01:31 AM

QUESTION POSTED AT 02/06/2020 - 01:31 AM

What does this mean ??

Conjecture:a₁ = 1.2
a₂ = 2.3
a₃ = 3.4
a₄ = 4.5
---------
a(n) = n.(n+1)
a₁₅ =15(15+1)
a₁₅ = 15.16 (answer)

ANSWERED AT 02/06/2020 - 01:31 AM

QUESTION POSTED AT 02/06/2020 - 01:31 AM

Write the slope-intercept inequality for the graph below. Also please explain this one if you can!

Answer:  y <= -3x + 3

-----------------------------------------

Explanation: The slope of the boundary line is -3 because we go down 3 over 1 each time we go from point to point. We can use the slope formula to get

m = (y2-y1)/(x2-x1)
m = (-3-3)/(2-0)
m = -6/2
m = -3

The y intercept is 3 because this is the location on the y axis where the graph crosses, so b = 3

Therefore the boundary line equation is y = -3x+3. Note how it's in the form y = mx+b where m = -3 and b = 3

The boundary line is solid. The shading is below the boundary line. So we change the equal sign to a "less than or equal to" sign to get the final answer of y <= -3x+3

ANSWERED AT 02/06/2020 - 01:31 AM

QUESTION POSTED AT 02/06/2020 - 01:31 AM