Answer:
Option c is correct option
it will be about 5.6 weeks until 50 percent of the campus is watching the show
Step-by-step explanation:
we are given
w(x)=[tex]x+125^{\frac{1}{3} }[/tex]
w(50)=[tex]50+125^{\frac{1}{3} }[/tex]
w(50)=[tex]175^{\frac{1}{3} }[/tex]
w(50)=[tex]\sqrt[3]{175}[/tex]
w(50)=5.59
we have to convert it into one decimal form
5.59=5.6
hence option c is correct option.
Computing w(50) using the provided function yields a value of approximately 5.6, which means it will take about 5.6 weeks for 50 percent of the campus to start watching the student-produced reality show. Thus, the correct answer to the student's question is option (C).
To compute w(50) based on the given function [tex]w(x)=(x+125)^{(1/3)}[/tex], we substitute x with 50:
[tex]w(50) = (50+125)^{(1/3)}[/tex]
Calculate the value inside the parenthesis:
[tex]175^{(1/3)}[/tex]
Taking the cube root of 175 gives us approximately:
5.6
Thus, w(50) ≈ 5.6, and we can interpret this in context by stating:
It will be about 5.6 weeks until 50 percent of the campus is watching the show.
This means the correct answer from the provided options is C. It takes approximately 5.6 weeks for the reality television show produced by the students to reach a viewership of 50 percent of the campus.
The probability that Gavyn wins a raffle is given by the expression o/p
.
Is there another part to this question? What should we answer?
Answer:
i've literally got this same question and i have no idea what to putt
Step-by-step explanation:
One number is equal to two times a second number. Two times the first number plus two times the second number is 24. If you let x stand for the first number and y for the second, what are the two numbers? A. x = –24, y = –12 B. x = 12, y = 6 C. x = 8, y = 4 D. x = 24, y = 12
Answer:
C, x = 8 and y = 4
Step-by-step explanation:
Let's isolate y.
x = 2y
Divide both sides by 2.
x/2 = y
Now plug it in to the other equation.
2x + 2(x/2) = 24
Simplify.
2x + x = 24
Simplify.
3x = 24
Divide both sides by 3.
x = 8
Now plug x back into the original equation.
8/2 = y
Simplify.
4 = y
Therefore, the answer is C, x = 8, y = 4.
Rob spent 25\%25% more time on his research project than he had planned. He spent an extra hh hours on the project.
Which of the following expressions could represent the number of hours Rob actually spent on the project?
Answer: 5h represents the number of hours Rob actually spent on the project.
Step-by-step explanation:
Let Rob planned that he will spend x hours in his project.
According to the question,
He spent 25% more time on his project than he planned.
That is, his actual time = x + 25% of x = 125% of x
Again according to the question,
He spent an extra h hours on his project.
That is, 25% of x = h
[tex]\frac{25\times x}{100} = h[/tex]
[tex]x=\frac{100h}{25}[/tex]
x = 4h
Thus, his actual time = 125% of x = 125% of 4h = [tex]\frac{125\times 4h}{100}[/tex] = 5h
Which is the required expression.
Answer:
5h and (h/0.25)1.25
Step-by-step explanation:
This means he planned to spend \dfrac{\maroonD{h}}{\greenD{25\%}}\cdot100\%
25%
h
⋅100%start fraction, start color maroonD, h, end color maroonD, divided by, start color greenD, 25, percent, end color greenD, end fraction, dot, 100, percent hours on the research project.
Hint #33 / 6
Because 25\%25%25, percent means 252525 per hundred, we can write it in equivalent forms.
\begin{aligned} 25\%&=\dfrac{25}{100}\\\\ &=0.25 \end{aligned}
25%
=
100
25
=0.25
Calvin goes shopping over the weekend and buys a new pair of shoes,a T-Shirt, a pair of sunglasses, and a hat that costs $9. The shoes are twice as much as the shirt, and the sunglasses are half as much as the shirt. The total cost of his purchase is $65. How much does each cost?
Answer:
I got you :)
Step-by-step explanation:
okay so if the hat is 9$ there is only 56$ left . it says the shoes are twice as much as the shirt , so i just went in and seen how much ill have left if i split it all. So i said 32$ for the shoes , because half of 32$ for shoes would mean 16$ for the shirt which would be 48. Then it says the sunglasses are half as much as the shirt and half of 16 is 8. When we add 32+16+8+9 we get 65$.
Solve for v.
.
Simplify your answer as much as possible.
Answer:
v = 9
Step-by-step explanation:
Use the method of cross- multiplying
[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc
8v = 12 × 6
8v = 72 ( divide both sides by 8 )
v = 9
Answer:
[tex]v=9[/tex]
Step-by-step explanation:
The given equation is
[tex]\frac{v}{12}=\frac{6}{8}[/tex].
We multiply both sides of the equation by 12 to obtain,
[tex]12\times \frac{v}{12}=\frac{6}{8}\times 12[/tex].
This implies that;
[tex]v=\frac{3}{4} \times 12[/tex]
This gives
[tex]v=\frac{3}{1} \times 3[/tex]
[tex]v=3\times 3[/tex]
[tex]v=9[/tex]
if line XZ is 2ft, line YZ=18in. what is the length of line XY
Answer:
XY = 6 in
Step-by-step explanation:
XZ = 2ft = 24 in.
XY + YZ = 24 in.
XY + 18 in. = 24 in.
XY = 24 - 18 = 6 in
Give an example of an opposite integers
Answer:
-2, 2
Step-by-step explanation:
they are both the same distance from zero but one is positive and one is negative
Answer:
3- and 3+
Step-by-step explanation:
Basically just have your positive number and have the same number but just it being negative.
In addition to an $80 bonus Joan earned eight dollars per hour working last week Joans total earnings last week or $240 how many total hours did she work last week
Answer:
20 hours
hope it helps
Step-by-step explanation:
total earnings was $240 but to find how much he made working you first have to deduct the $80 bonus
240 - 80 = 160
so he made $160 working now to find out how many hours worked you have to divide by 8 because he got paid $8.00 an hour
160 ÷ 8 = 20
Answer:
20hrs
Step-by-step explanation:
We need to find out how many hours she worked last week.
The bonus added $80 to the money she got from her hours worked so lets take that away:
240-80=160
Since she gets $8/hr we should divide 160 by 8
160÷8=20
what is the measure of A, in degrees?
Answer:
B
Step-by-step explanation:
Since AB = AC = 8 then the triangle is isosceles and
∠C = ∠B = 30° ( base angles of an isosceles triangle )
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the base angles from 180, hence
∠A = 180° - (30 + 30)° = 180° - 60° = 120° → B
The opposite angles of a parallelogram have measures of (3x-20) and (x+15). Find x
Which value of w makes 14=11+w/8 times 6 a true statement?
Answer: For the value of w=4, [tex]14=11+\frac{w}{8}\times 6[/tex] is a true statement.
Step-by-step explanation:
Since, the given expression,
[tex]14=11+\frac{w}{8}\times 6[/tex]
= [tex]14=11+\frac{6w}{8}[/tex]
= [tex]14=11+\frac{3w}{4}[/tex]
= [tex]3=\frac{3w}{4}[/tex] ( by subtraction property of equality)
⇒ [tex]=\frac{w}{4}[/tex] ( By division property of equality)
⇒ w=4 ( By multiplication property of equality)
Answer:
w=4
Step-by-step explanation:
vector is flying his helicopter at 200 miles per hour. how long has he been flying if he has traveled 1,200 miles?
Answer:
6 hours
Step-by-step explanation:
200mph
1200 miles
200X=1200
X=6
Drag and drop the correct answer into each box to complete the proof. parallelogram K L M N where K N is parallel to L M and K L is parallel to M N Given: Parallelogram KLMN Prove: ∠N≅∠L and ∠M≅∠K
Answer:
Opposite angles of a parallelogram are congruent.
Step-by-step explanation:
Given:
KLMN is a parallelogram.
KN ║ LM and KL ║MN.
To prove:
∠N ≅ ∠L
∠M ≅ ∠K
Proof:
∠N ≅ ∠L since the opposite angles of a parallelogram are congruent.
∠M ≅ ∠K since the opposite angles of a parallelogram are congruent.
Answer: Parallelogram KLMN Given
KL¯¯¯¯¯∥NM¯¯¯¯¯¯¯ and Kn---------llLM Definition of parallelogram
m∠K+m∠N=180°
m∠L+m∠M=180°
m∠K+m∠L=180° Same-Side Interior Angles Theorem
m∠K+m∠N=m∠K+m∠L
m∠L+m∠M=m∠K+m∠L Substitution Property of Equality
m∠N=m∠L
m∠M=m∠K Subtraction Property of Equality
∠N≅∠L
and ∠M≅∠K
Angle Congruence Postulate
Step-by-step explanation:
I took the test and got a 100
Marc wants to buy a set of 6 antique chairs for his dining room. He has decided to spend no more than $360. How much can he spend per chair?
Answer:
He can spend a maximum of $60 per chair.
Step-by-step explanation:
360 / 6 = $60 per chair
25 points to 50 points. is that increase or decrease
Answer:
increasegoing from smaller to larger or less to greater
On a coordinate graph the point in which the x-axis and the y-axis cross is called the
the first term of a sequence is 13 the term-to-term rule is take away 5 workout the 4th term
Answer:
[tex]a_{4}[/tex] = - 2
Step-by-step explanation:
given the term to term rule is subtract 5, then
[tex]a_{2}[/tex] = 13 - 5 = 8
[tex]a_{3}[/tex] = 8 - 5 = 3
[tex]a_{4}[/tex] = 3 - 5 = - 2
The fourth term is -2.
Given that,
the first term of a sequence is 13.The term-to-term rule is take away 5Based on the above information, the calculation is as follows:
Second term is
= 13 - 5
= 8
Third term is
= 8 -5
= 3
And, the fourth term is
= 3-5
= -2
Therefore we can conclude that The fourth term is -2.
Learn more: brainly.com/question/6201432
The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction?
A. 7
B.14
C.42
D.126
Answer:
B. 14
Step-by-step explanation:
The sum of infinite geometric series is given by
[tex]\frac{a}{1-r}[/tex]
0.126126126... = [tex]\frac{126}{1000}+\frac{126}{1000000}+\frac{126}{1000000000}[/tex]
Here a =126/1000, r= 1/1000
0.126126126... = [tex]\frac{126/1000}{1-1/1000}[/tex] =126/999 = 14/111
∴ 0.126126126... = 14/111
So, the numerator of the reduced fraction is 14.
Answer:
B. 14
Step-by-step explanation:
Paws at Play made a total of $1,234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog.
Answer: No of Small Dogs = 13 and,
No of Large Dogs = 9
Step-by-step explanation:
Let us assume,
Small dogs = x and Large dogs = y
The total number of dogs is 22
So the first equation is x + y = 22
Total grooming sales = $1234
Cost to groom small dogs ( x ) = $43
Cost to groom large dogs ( y ) = $75
So the second equation is will be,
(43 × small dogs) + (75 × Large dogs) = $1234
i.e., 43x + 75y = 1234
To find the value of y, multiply the equation 1 with 43
i.e., 43x + 43y = 946
Now compare and subtract the above equation from equation 2
43x + 75y = 1234
43x + 43y = 946
32y = 288
y = 288 ÷ 32
y = 9
Put the value of y in any equation to find the value of x
Putting the value of y = 9 in equation 1
x + y = 22
x + 9 = 22
x = 22 - 9
x = 13
Therefore, Small dogs = 13
Large dogs = 9
The problem is about setting up and solving a system of linear equations representing the number and cost of grooming small and large dogs. You should end up with two equations: x + y = 22 and 43x + 75y = 1234. They can be solved using methods like substitution, elimination, or matrix method.
Explanation:This question involves setting up and solving a system of linear equations. Let's denote the number of small dogs as x and the number of large dogs as y. The total number of dogs is 22, so we can write the first equation as x + y = 22. The total amount charged is $1,234, so the second equation, considering the cost of grooming each small and large dog, is 43x + 75y = 1234.
Now you need to solve this system of equations to determine the number of each type of dog. This can be done using various methods such as substitution, elimination, or matrix methods.
Learn more about System of Linear Equations here:
https://brainly.com/question/33609849
#SPJ3
The area of a rectangular dog pen is 8/1/2 square feet. If the width is 3/2/5 feet what is the length in feet
Answer:
l = 2 1/2 ft
Step-by-step explanation:
The formula for A is l*w for a rectangular length
A= lw
Putting in what we know
8 1/2 = l * 3 2/5
I will change mixed numbers to improper fractions
8 1/2 = (2*8+1)/2 = 17/2
3 2/5 = (5*3+2)/5 = 17/5
17/2 = l*17/5
Multiply both sides by 5/17 to isolate l
5/17* 17/2 = l* 17/5 * 5/17
5/2 = l
Changing this back to a mixed number
2 1/2 = l
the equation cos-1 3.4/10 =x can be used to determine the measure of angle BAC. What is the degree of measure angle BAC? Round to the nearest whole degree.
Answer:
70°
Step-by-step explanation:
x = [tex]cos^{-1}[/tex]([tex]\frac{3.4}{10}[/tex]) ≈ 70°
Answer:
<BAC= 70 degrees.
Step-by-step explanation:
The given equation to find angle BAC that is x is :
x=[tex]cos^{-1} \frac{3.4}{10}[/tex]
Or ,[tex]x=cos^{-1} 0.34[/tex]
Using calculator to find the arc of cosine0.34 we have :
x=70.1231
This when rounded to nearest whole degree is 70 degrees.
<BAC= 70 degrees.
what numbers do I use for 45678910 please help
Answer:
4) 80 5) 96 6) 50 7) 28 8) 17 9) 14 10) 58
Step-by-step explanation:
4) 41+39 5) 28+32+46 6) 13+37 7) 45-17 8) 39-22 9) 31-17 10) 18+40
30 POINTS ANSWER RIGHT NOW PLEASE
Which of the diagrams represent the following equation?
xy = 20
A graph with two curved sections, one confined to quadrant 2 approaching both axes and one confined to quadrant 3 approaching both axes.
A line going through the points (0, 0) and (20, 1).
A graph with two curved sections, one confined to quadrant 1 approaching both axes and one confined to quadrant 4 approaching both axes.
A graph with two curved sections, one confined to quadrant 1 approaching both axes and one confined to quadrant 3 approaching both axes.
Answer:
Step-by-step explanation:
x=20 or y=20/x
4. FLOWERS Bethany placed a bouquet of roses in a vase full of water. Each day she recorded how much water had evaporated from the vase before refilling it. The results are shown in the table below. Over the course of five days how much water had evaporated? Use mental math to find your answer.[Day-1=0.8][Day-2=0.2][Day-3=1.1][Day-4=0.9][Day-5=1]
Answer:
4 is the answer
Step-by-step explanation:
PLEASE ANSWER CORRECTLY ASAP!!THE OTHER OPTION IS 4 7/12 !
what is the greatest possible integer solution of the inequality 8.904x < 18.037
Answer:
2
Step-by-step explanation:
8.904x < 18.037 Divide each side by 8.904
x < 2.026
The largest integer that satisfies the inequality is 2.
Evaluate the numerical expression.
9.6 - 10.8 ÷ 0.6
A) -0.2
B) -2
C) -8.4
D) 7.8
Answer:
C) -8.4
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Divide <
10.8 / 0.6
= 18
Subtract <
9.6 - 18
= -8.4
- I.A -
Answer:
its C) -8.4
Hope this helps! :)
Which table represents a nonlinear function?
Answer:
The table that represents the nonlinear function is the one where the x-values are -7, -5 and 0 and the y-values are -3, 0 and 3.
Step-by-step explanation:
In order for a table to represent a linear function, there needs to be a consistent change in y-values divided by the change in x-values. For example, for any two points on the table when we subtract two y-values and divide by the number we get when we subtract two x-values, this change should be represented throughout the table. So, in the case of the other three tables, when we choose two points from the table, such as (-5, 7) and (-2,6) and put them into an equation (y2-y1/x2-x1) or (6-7)/(-2-(-5)) we would get a change of -1/3. However, when we apply this concept to the table where x-values are -7,-5, and 0, we see that the change is not consistent between points, so the function must be nonlinear.
help plz i dont understand this I'm going crazy
Answer:
<
Step-by-step explanation:
2*18-18=18
2*[28-3*(2+4)] = 20
18<20
Answer:
symbol is <
Step-by-step explanation:
evaluate the left and right sides for comparison
left = (2 × 18 ) - 18 = 36 - 18 = 18
right = 2[28 - (3 × 6) ] = 2[28 - 18] = 2 × 10 = 20
18 < 20
hence replace ? with <
f(x) = 4x4 − 8x3 − 3x2 + 7x − 2 = (x + 1)(4x3 − 12x2 + 9x − 2) Based on the sythetic division shown, 1 2 is of the polynomial.
Answer:
-1, 2, 0.5, 0.5
Step-by-step explanation:
[tex]4x^4 - 8x^3 - 3x^2 + 7x - 2[/tex]
Using synthetic division for x=-1 we find that
-1 4 -8 -3 7 -2
-4 12 -9 2
-----------------------------------------------
4 -12 9 -2 0
----------------------------------------------
Thus quotient is [tex]4x^3 - 12x2 + 9x - 2[/tex]
Again try synthetic division by x-2
2 4 -12 9 -2
8 -8 2
-----------------------------------
4 -4 1 0
--------------------------------------
Thus quotient is [tex]4x^2-4x+1\\=(2x-1)^2[/tex]
Hence zeroes of the polynomial f(x) are
-1, 2, 0.5, 0.5
Answer:
Second half of the question: Based on the synthetic division shown, 1/2 is DEFINITELY A ROOT of the polynomial.
Step-by-step explanation: