Answers
Answer:
64
Step-by-step explanation:
16/10=1.6 and 1.6x40=64
Answer: y = 64
Step-by-step explanation:
[tex]$$Given, \\$y$ is directly proportional to $x$ \\$\Rightarrow y \propto x$ (Note: ' $\alpha$ ' be proportion/various sign) \\$\Rightarrow y=k x$ ( $k$ be the constant) \\$\therefore y=k x-$ (1)[/tex]
[tex]$$Given $y=40$ when $x=10$.So, substitute $y=40 \ \& \ x=10$ in (1) we get,$$\begin{aligned}&\Rightarrow 40=k(10) \\&\Rightarrow 10 k=40 \\&\Rightarrow k=\frac{40}{10} \text { (divide '10' both sides) } \\&\Rightarrow k=4\end{aligned}$$[/tex]
[tex]$$Put $k=4$ in (1) we get,$$y=4 x$$We substitute $x=16$ in (2) we get$$\begin{aligned}y &=4(16) \\\Rightarrow y &=64 \\\end{aligned}$$[/tex]
Related Questions
8 = 3y - 12 - 8y What is the value of y?
Answers
Answer:
y = -4
Step-by-step explanation:
8 = 3y - 12 - 8y
Combine like terms
8 = -5y -12
Add 12 to each side
8+12 - 5y-12+12
20 = -5y
Divide each side by -5
20/-5 = -5y/-5
-4 =y
3y-8y = 12+8
=> -5y=20
=> -y = 20/5
=>[tex]\fbox{y=-4}[/tex]
Hope this helps you :)
What is the greater common factor of 24 and 32
Answers
Answer:
8
Step-by-step explanation:
To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.
Answer:
8
(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)
https://www.flocabulary.com/unit/gcf-lcm/
What is the sum?
3y/ y^2+7y+10 + 2/y+2
Answers
Answer:
5
___
y+5
Step-by-step explanation:
first
----> 3y 2(y+5)
---------------------- + ----------
(y+2)(y+5) (y+2)(y+5)
then
----> 3y+2(y+5)
------------
(y+2)(y+5)
then
----> 3y+2y+10
----------
(y+2)(y+5)
then
-----> 5(y+2)
---------
(y+2)(y+5)
then
-----> 5
-------
y+5
The edge of the square is 33 cm.
Calculate the square diagonally!
Take out the multiplier before the root sign!
Answers
Answer:
46.6
Step-by-step explanation:
[tex] {x}^{2} = {33}^{2} + {33}^{2} \\ x = \sqrt{2178} \\ x = 46.6 \: cm[/tex]
A small college with 1,200 total students has a student government of 40 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than 1 of these 4 positions.
The permutation formula n Pr can be used to find the number of unique ways the student government can arrange its members into these positions,
What are the appropriate values of n and r?
Answers
Answer:
20 New professors
Step-by-step explanation:The current ratio is 1200%2F80 = 15.
The new ratio/proportion should be %281500%29%2Fx = 15.
From here, find x = 1500%2F15 = 100 professors.
They must hire 100-80 = 20 new professors.
Answer: N=40
r=4
Step-by-step explanation:
We use the notation
�
P
�
nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select
�
rr objects without replacement from a set of
�
nn distinct objects.
In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?
Hint #22 / 3
The student government is electing
4
44 of its
40
4040 members to fill the positions of president, vice president, secretary, and treasurer. So
�
nn should be
40
4040 and
�
rr should be
4
44.
Hint #33 / 3
These are the appropriate values of
�
nn and
�
rr:
�
=
40
�
=
4
n
r
=40
=4
An initial population of 415 quail increases at an annual rate of 32%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?
Answers
Answer:
Below in bold.
Step-by-step explanation:
The population P will increase by a factor of 1.32 each year.
The function is
P = 415(1.32)^t where t is the time in years.
After 5 years:
P = 415(1.32)^5 = 1663.
13. A statistics student had excluded three outlier values when
constructing a histogram of a frequency distribution. His teacher
directed him to remake the histogram and include the outliers.
Which of the following must be true?
O The class boundaries would change.
O The interpretation of the histogram remains the same.
O The shape of the histogram changes.
O The shape of the histogram remains the same.
Answers
The statement first “the class boundaries would change" is the correct.
What is statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analysing it even further.
We have:
A statistics student had excluded three outlier values when constructing a histogram of a frequency distribution.
As we know, the statistics described as the procedure of collecting data, classifying.
And from the given data we can conclude the class boundaries would change.
Thus, the statement first "the class boundaries would change" is the correct.
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Answer:
O The shape of the histogram changes
Step-by-step explanation:
There is no guarantee that the outliers are larger or less than the pre-existing class boundaries. Therefore the only thing we can be sure will happen is that the shape of the histogram will change given that any addition or subtraction of variables contributes to the shape regardless.
Find the critical points of the function f(x)=45x^4/5+x^9/5
Answers
Answer:
Step-by-step explanation:
[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]
Critical Point Definition:
Critical points are points where the function is defined and its derivative is zero or undefined.Find where [tex]f'(x)[/tex] is equal to zero or undefined
[tex]x=-\sqrt[5]{20},\:x=0[/tex]
Identify critical points not in [tex]f(x)[/tex] domain
Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]
All critical points are in domain
[tex]x=-\sqrt[5]{20},\:x=0[/tex]
what fraction of one day is 36 mins
Answers
Answer:
1 day = 1440min
so 36min of a day = 36/1440 = 1/40
Y= x^2-4x+2 what is the vertex
Answers
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -4}{2(1)}~~~~ ,~~~~ 2-\cfrac{ (-4)^2}{4(1)}\right)\implies (2~~,~~2-4)\implies (2~~,~~-2)[/tex]
How many solutions over the complex number system does this
polynomial have?
3x6x³4x² + 3x+52=0
Answers
Answer:
For this case we have the following polynomial.
We note that the polynomial graph cuts only the vertical axis at one point.
The graph has no other cut points on the x axis
Therefore, the polynomial has:
6 complex solutions
0 real solution
Step-by-step explanation:
Mr. Benito just purchased 24 paint sets and a few sketch books for his art class. The total bill wūs $241. The paint sets cost a total of $105 and the sketch books $8 each. How many sketch books did he buy?
Answers
Answer:
He bought 32 sketchbooks
Step-by-step explanation:
E equals 32
Answer:
17
Step-by-step explanation:
We know:
The total bill was $241
The paint sets cost $105
Each sketchbook is $8
First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.
241-105=136
Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.
136/8=17
Therefore, Mr. Benito bought 17 sketchbooks.
Find the slope.
y= X/3 + 4
M= ?/?
Answers
Answer:
m=1/7
Step-by-step explanation:
The slope of y=x/3 + 4 is 1/7.
x/3+4 = x/7 so m = 1/7.
Answer:
m = 1/3
Step-by-step explanation:
The equation given is in slope-intercept form, which has the basic structure:
y = mx + b
In this equation, "m" is the slope and "b" is the y-intercept.
The value of "b" is 4.
The value of "m" is 1/3. This is because (x/3) is the same as (1/3 times x).
What’s the length of QR?
Answers
Answer:
QR = 5.9
Step-by-step explanation:
QR = √(RP^2 - QP^2)
QR = √((7.6)^2 - (4.8)^2) = √(57.76 - 23.04) = √34.72 ≈ 5.9
In one particular suburb, there are 13 families that own a terrier. If there are a total of 20 families that own a dog in general, then what percentage of dog owners have a terrier?
153% have terriers
65% have terriers
7% have terriers
None of these answers are correct.
33% have terriers
Answers
Answer:
from what i got it is 65% have terriers
Step-by-step explanation:
13 / 20 = 0.65 meaning there is 65%
Hope This Helped
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 5859 MB. How many downloads of the standard version were there?
Answers
The number of the standard versions downloaded will be 2790 standard versions.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
A Web music store offers two versions of a popular song.
The size of the standard version is 2.1 megabytes (MB).
The size of the high-quality version is 4.9 MB.
Yesterday, the high-quality version was downloaded four times as often as the standard version.
The total size downloaded for the two versions was 5859 MB.
Then the number of the standard versions were downloaded will be
→ 5859 / 2.1
→ 2790 standard versions
More about the division link is given below.
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In a triangle, an exterior angle formed by producing a side is half of a right angle. One of the two opposite interior angles is twice the Other; find the sizes of each interior angle of triangle.
Answers
Step-by-step explanation:
let's explain this a bit.
when the exterior angle is a certain size, then the interior angle is 180 - that exterior angle.
in our case the exterior angle is half of a right angle, so it is 90/2 = 45°.
the corresponding interior angle is 180-45 = 135°.
the sum of all angles inside a triangle is always 180°.
so,
x + 2x + 135 = 180
3x = 45
x = 15°
2x = 30°
so, the 3 interior angles are
135°, 15°, 30°
Question 1 of 10
Which of the following statements regarding the expansion of (x + y)" are
correct?
A. The coefficients of X" and y both equal 1.
B. For any term xyl in the expansion, a + b = n
c. For any term xay in the expansion, a - b = n.
D. The coefficients of yn - 1 and yn – 1 both equal 1.
SUBMIT
Answers
The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.
How to expand?It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.
Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.
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can someone help me with this q?
Answers
Answer:
rounded = 170 in^3 and 2nd question =2.772 in^3
Step-by-step explanation:
h: 12 1/8 = 12.125
w: 1 3/4 = 1.75
l: 8
----------------------------------
h*w*l = 169.75 in^3
rounded = 170 in^3
oh there's another.. wait
same with this question
.----------------------------------
h*w*l
10.5 * 12 * 22 = 2.772 in^3
Solve for x: 12x= 36
Please show all the steps that were given above that you must take to solve for x.
Answers
Step-by-step explanation:
x=36/12
x=2
I hope it's helpful for you12x = 36
x = 36÷12
x = 3
Hope it helps......
A quadratic function has 2 distinct roots. Always never sometimes
Answers
Answer:
Always
Step-by-step explanation:
[tex]ax^{2} + bx + c = 0[/tex]
(d) develop a questionnaire for the based on the research under the study (5 marks) QUESTION TWO (10 MARKS) A marketing company which specializes in the sale of mobile phones has engaged you to investigate into what influences customers in the purchase of its wide range of phones. In your analysis of your administered questionnaires, you performed a regression analysis of certain features and benefits of the phones on customer purchase. Use the summary of the regression output in table 1 to answer the following questions Table I Models Unstandardized Coefficients Standardized Coefficients Sig (Significant) B Standard error Beta (Constant) 1.06 727 0.000 Shape 0.124 0.091 495 Colour 0.217 319 0.003 Sine 0.323 0.069 018 0.020 Name -0.429 0.012 4.023 0.102 Dependent Variable: Customer Purchase Required a. At 95% confidence level, interpret your data with respect to the objectives of the study (3 marks) b. From the analyzed data, what recommendation(s) will you make to the marketing company? (3 marks) c. What would be your answer if the analysis was performed at 99% confidence level (3 marks) dWhich variable makes the greatest impact or influence on customer purchase
Answers
Answer:
wait who you again have we met before wait what
Step-by-step explanation:
I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys
whats the distance between the points (2, 7) and (2, 15)
Answers
Answer:
The distance between the points (2, 7) and (2, 15) is 8.
Step-by-step explanation:
What is the Distance between Two Points?
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
How to Solve:
Formula:[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]Putting Values:
[tex]=\sqrt{(2-2)^2+(15-7)^2}[/tex]
[tex]=\sqrt{(0)^2+(8)^2}[/tex]
[tex]=\sqrt{0+64}[/tex]
[tex]=\sqrt{64}[/tex]
[tex]=8[/tex]
x + 14 = 28
Solve for ‘x’.
Answers
Step-by-Step Explanation:
=> x + 14 = 28
=> x = 28 - 14 = 14
Therefore, x = 14
[tex] \Large{\boxed{\sf x = 14}} [/tex]
[tex] \\ [/tex]
Explanation :Given equation:
[tex] \sf x + 14 = 28 [/tex]
[tex] \\ [/tex]
Subtract 14 from both sides :
[tex] \sf x + 14 - 14 = 28 - 14 \\ \\ \\ \boxed{\boxed{\sf x = 14}} [/tex]
[tex] \\ \\ [/tex]
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Solve for x, please show work!
Answers
Answer:
x = 3°
Step-by-step explanation:
The external angle where secants/tangents meet is half the difference of the intercepted arcs.
__
Here, that means ...
18x = (1/2)(194° -86°)
18x = 1/2(108°) = 54° . . . . . simplify
x = 3° . . . . . . divide by 18
What is the approximate area of the following circle?
Answers
Answer:
[tex]38.47 {m}^{2} [/tex]
Step-by-step explanation:
The formula to find the area of a circle is
[tex] a= \pi {r}^{2} [/tex]
We know that
[tex]\pi = 3.14 \: \: \: \: \: \: r = 3.5[/tex]
Therefore the area is
[tex] a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}[/tex]
work is shown in picture :)
Find AC.
brainly is forcing me to make this longer but its just that
Answers
Answer:
24.49 units
Step-by-step explanation:
It si NOT a right triangle, so you'll have to use law of sines
angle C = 180 - 45-75 = 60 degrees
30 / sin60 = AC / sin 45
AC = 30 * sin 45 / sin 60 = 24.49 units
In circle K with m/JKL = 30 and JK = 15 units, find the length of arc JL.
Round to the nearest hundredth.
Answers
Answer:
7.85
Step-by-step explanation:
Arc Length Formula
[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})[/tex],
where r is radius.
Given information:
m<JKL = 30°
JK = r = 15 units
Substitute in equation and solve.
[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})\\\text{arc length} = 2 \pi (15) (\frac{30^\circ}{360^\circ})\\\text{arc length} = \frac{5}{2} \pi \approx 7.85398\\\text{arc length} = 7.85 \text{ units}[/tex]
P is the point (2, 7) and Q is the point (6, -3).
What is the gradient of PQ?
Answers
The Gradient of the line PQ is -5/2.
What is Gradient?Gradient the basically the ratio between the change in vertical coordinate to change in horizontal coordinates.
Here, P (2, 7) and Q (6, -3)
Now, Gradient = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
m = [tex]\frac{-3 -7}{6 - 2}[/tex]
m = -10/4
m = -5/2
Thus, the Gradient of the line PQ is -5/2.
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Find the solution(s) to the system of equations represented in the graph. (2,0) (0,-2)
Answers
the solution to a system of equation is the point where they intersect. This occurs at (0, -2) and (2, 0).