9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
please answer this!!
PLEASE HELP ASAP
Solve the triangle. Round your answers to the nearest tenth.
Answer Options:
A. m∠A=41, b=11, c=29
B. m∠A=41, b=13, c=29
C. m∠A=41, b=10, c=29
D. m∠A=41, b=13, c=25.9
Answer:
Optiom B
Step-by-step explanation:
If you use sine rule here, you'll find the other two sides
for the angle, do 180-24-115 = 41
Answered by GAUTHMATH
An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?
Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 30%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. What assumptions are necessary for this test to be satisfied
Solution :
Given data :
x = 65, n = 300
[tex]$\hat p = \frac{x}{n}[/tex]
[tex]$=\frac{65}{300}$[/tex]
= 0.2167
The hypothesis are :
[tex]$H_0: p \leq 0.3$[/tex]
[tex]$H_0: p> 0.3$[/tex]
The [tex]\text{level of significance}[/tex], α = 0.05
The test is right tailed.
The standard deviation is :
[tex]$\sigma = \sqrt{\frac{0.3(1-0.3)}{300}}$[/tex]
σ = 0.0265
The test statistics is :
[tex]$z=\frac{\hat p - p}{\sigma}$[/tex]
[tex]$z=\frac{0.2167 - 0.3}{0.0265}$[/tex]
= -3.14
The critical value is 1.645
The rejection region is : If z > 1.645, then we reject [tex]H_0[/tex]
Decision :
Since the test statistics does not lie in the rejection, so we fail to . [tex]\text{reject the null hypothesis}[/tex].
P-value : [tex]$P(z > - 3.14)$[/tex] = 0.9992
Therefore, the p-value is not less than the level of significance so we fail to [tex]\text{reject the null hypothesis}[/tex].
Help
Find the volume of this cone.
Use 3 for T.
6ft
V =
3
Tr2h
1
10ft
V
V-
[?]ft3
A
Answer:
[tex]V=90[/tex]
Step-by-step explanation:
Step 1: Find the volume of the cone
[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]
Plug in the values
[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]
Simplify and Solve
[tex]V = \frac{\pi *9*10}{3}[/tex]
[tex]V = \frac{90\pi }{3}[/tex]
[tex]V = \frac{90*3 }{3}[/tex]
[tex]V=90[/tex]
Answer: [tex]V=90[/tex]
In Exercises 1-4, determine whether the dilated figure or the original figure is closer to the center of dilation. Use the given location of the center of dilation and scale factor k.
1. Center of dilation inside the figure; k = 3
Center of ditation inside the figure, k = 1/2
3. Center of dilation outside the figure: = 120%
4. Center of dilation outside the figure; k = 0.1
When the Center of dilation is inside the figure
The original figure is closer to the center of dilationThe dilated figure is closer to the the center of dilationWhen the Center of dilation is outside the figure
3. The original figure is closer to the the center of dilation
4. The dilated figure is closer to the center of dilation
The center of dilation is the fixed point from which the distances in a dilation are measured
The scale factor is ratio of the side lengths of an original figure or preimage to the side lengths of the newly formed image
Center of dilation is inside the figure
Where the center of dilation is inside the figure, and the scale factor is larger than 1, k = 3 > 1, we have;The distance of a point on the dilated figure, including the distances from the center of dilation is 3 times the distances of points on the original image from the center of dilation
Therefore, the original figure has a shorter distance to and is therefore closer to the the center of dilation than the dilated figure
2. Where the center of dilation is inside the figure, and the scale factor is a fraction between 0 and 1 k = 1/2, we have;
The distance of a point on the dilated figure, including the distances from the center of dilation is 1/2 times the distances of points on the original image from the center of dilation
Therefore, the dilated figure has a shorter distance to and is therefore closer to the the center of dilation than the original figure
Center of dilation outside the figure
3. Given that the center of dilation is outside the figure and the scale factor is larger than 1, k = 120% = 120/100 = 1.2 > 1, we have;
The distance of the dilated figure from the center of dilation is 120% of the distance of the original figure from the center of dilation, therefore, the original figure is closer to the the center of dilation than the dilated figure
4. Where the center of dilation is outside the figure and the scale factor is a fraction between 0 and 1, k = 0.1 < 1
The distance of the dilated figure from the center of dilation is only 0.1 times the distance of the original figure from the center of dilation, and therefore, the dilated figure is closer to the center of dilation
Learn more about scale factors and center of dilation here;
https://brainly.com/question/12162455
2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h
Answer:
Corresponding AnglesStep-by-step explanation:
Angles a and e are corresponding angles and they are also congruent.tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?
Select the correct prices in the table.
$12 $13 $14 $15
Answer:
The answer is actually 12 and 13.
Step-by-step explanation:
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.
We have given that the table,
What is the prices?Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
To learn more about the price visit:
https://brainly.com/question/1153322
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The domain for f(x) and g(x) is all real numbers.
Let f(x) = x2 + 1 and g(x) = x4 − 1.
Find f · g.
A.
x6 + x4 − x2 − 1
B.
x4 + x2 − 1
C.
x8 + x4 − x2 + 1
D.
x6 − x2 − 1The domain for f(x) and g(x) is all real numbers.
Answer:
A
Step-by-step explanation:
(f*g)(x) = f(x) * g(x)
=(x2+1)(x4-1)=x6-x2+x4-1
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent
The question given is incomplete as the information about the headphones isn't given.
However, we can solve the problem by using hypothetical values.
Answer:
Kindly check explanation
Step-by-step explanation:
Given
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.
Let :
The number of defective headphones = 10
The total number of headphones on the sample = 50
To express as a ratio :
Defective headphones : total headphones
10 : 50 = 1 : 5
To express as a percentage ;
1 / 5 * 100% = 20%
The function c(n) below relates the number of bushels of apples picked at a pic-your-own orchard to find cost for the apples it takes as input the number bushels of apples picked after paying an entry fee to an orchard and it returns as output the cost of the apples (in dollars) c(n)=15n+30
Answer:
C(n) = 20n + 15
y = 20n + 15
20n = y - 15
n = (y - 15)/20
N(c) = (c-15)/20
Step-by-step explanation:
Answer:
N(c)= c-30/ 15
A rectangle with a perimeter of 113 units is dilated by a scale factor of 3. Find the
perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if
necessary.
Answer:
339 units
Step-by-step explanation:
You simply multiply the perimeter of the original rectangle by three to get the perimeter of the new rectangle.
3. Express the mixed recurring decimal 15.732 in p/q form.
Answer
15717/999
Step-by-step explanation
n=15.732732
10n=157.32732
100n=1573.27327
1000n=15732.732732
n= 15.732732
999n=15717
999 999
Answer:
3933/250
Step-by-step explanation:
PLS HELP I'M SOO CONFUSED
Consider the arithmetic senes 336+ 332+328+....+4 Numeric Response 1 The number of terms in the series above is (Record your answer in the numerical-response section below) Your answer DCC Numeric Response 2. The sum of the series above is (Record your answer in the numerical-response section below)
The first term in the series is 336. The second term is obtained by subtracting 4 from the first term; subtract 4 from that to get the third term; and so on. Then the n-th term in the series is
336 - 4 (n - 1)
or
340 - 4n
The last term in this series is 4, so we solve for n :
340 - 4n = 4
336 = 4n
n = 336/4 = 84
The sum of the series is then
[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\sum_{n=1}^{84}1 - 4 \sum_{n=1}^{84}n[/tex]
Recall that
[tex]\displaystyle \sum_{n=1}^{N} 1 = N[/tex]
[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]
Then the sum we want is
[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\times84 - 4\times\frac{84\times85}2 = \boxed{14,280}[/tex]
I need help I don't understand this at all.
please mark this answer as brainlist
Select the correct answer from each drop-down menu.
A student begins a proof of the law of cosines. His work is shown.
(png/image displayed in download)
The next step in the proof is to write an expression for the length of side AZ in terms of ____
Then the student should write an expression for the length of side AY in terms of____
Next he can use the ____
to relate x, y, z, and ____
(____) = blank, not known
1. blank choices
y,z and x
y,z and y
x,z and z
2. blank choices
z and Y
x and Z
z and X
3. blank choices
Pythagorean Theorem
Law of sines
tangent function
4. blank choices
X
Z
Y
Thanks for your time, have a nice day!
Answer:
1. y, z, and X
2. x and Z
3. Pythagorean theorem
4. X
Step-by-step explanation:
hope this helps
Is the answer option b?
Answer:
yes, it is B
Step-by-step explanation:
every input value of x has an unique result value y.
there are no 2 values for x that produce the same result value y.
and there are no multiple result values possible for a subject x value.
bottom line, yes, it is a function, and a 1:1 function at that.
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is arn interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.)
[infinity]
Σ (-1)n+1(x-8)/n8n
n=1
I'm guessing the power series given is
[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1}\frac{(x-8)^n}{8^n}[/tex]
which you can condense somewhat into
[tex]\displaystyle -\sum_{n=1}^\infty \left(\frac{8-x}8\right)^n[/tex]
You should recognize this as a geometric series, which converges for
[tex]\left|\dfrac{8-x}8\right|<1 \implies |8-x|<8 \implies \boxed{0 < x < 16}[/tex]
27x + 24y= 4.5
1.5x + y =0.225
Answer:
x = 0.1, y = 0.075
Step-by-step explanation:
Given the 2 equations
27x + 24y = 4.5 → (1)
1.5x + y = 0.225 → (2)
Multiplying (2) by - 24 and adding to (1) will eliminate the y- term
- 36x - 24y = - 5.4 → (3)
Add (1) and (3) term by term to eliminate y
- 9x = - 0.9 ( divide both sides by - 9 )
x = 0.1
Substitute x = 0.1 into either of the 2 equations and solve for y
Substituting into (2)
1.5(0.1) + y = 0.225
0.15 + y = 0.225 ( subtract 0.15 from both sides )
y = 0.075
Answer:
the values for x AND y are 0.1 and 0.075 respectively
Given the functions below, find f(x) + g(x)
f(x) = 3x - 1
g(x) = x2 + 4
Answer:
x^2+3x+3
Step-by-step explanation:
f(x) = 3x - 1
g(x) = x^2 + 4
f(x) + g(x) = 3x-1+ x^2 +4
Combine like terms
= x^2+3x+3
solve. x/2 + 1/3 greater than 0
Answer:
x > -2/3
Step-by-step explanation:
[tex]\frac{x}{2} +\frac{1}{3} > 0[/tex] , subtract 1/3 from both sides
[tex]\frac{x}{2} > \frac{-1}{3}[/tex] , multiply both sides by 2
[tex]x > \frac{-2}{3}[/tex]
find x
2 ^30 divided by 8^9= 2x
Answer:
see below
Step-by-step explanation:
2^30
-------
8^9
Rewriting
8^9
2^3 ^ 9
We know a^b^c = a^(b*c)
2^(3*9) = 2^27
2^30
-------
2^27
We know a^b / a^c = a^(b-c)
2^(30-27) = 2^3
Assuming you mean 2^x
2^3 = 2^x
x=3
If you mean 2x
2^3 = 8
8 = 2x
Divide by 2
4 =x
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]
[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]
[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]
[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve for n. 1/ n-4 - 2/n = 3/ 4 - n
Answer:
The answer is n = - 4.. I hope it will help :)
When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m
Answer:
B .62.5 m
Step-by-step explanation:
convert Kmh-1 in to ms-1
30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1
60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1
acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2
V^2 = U^2 +2aS
(16.6)^2 = (8.3)^2 + 2×1.66 ×S
S = 62.5 m
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.)
Answer:
x=61.71428 or 61 5/7
Step-by-step explanation:
We can use a ratio to solve
7 pieces 12 pieces
----------------- = ---------------
36 seconds x seconds
Using cross products
7x = 36*12
7x = 432
Divide by 7
7x/7 = 432/7
61 5/7
x=61.71428
Answer:
66
Step-by-step explanation:
Find the lateral area of this square
based pyramid.
10 in
Sin
[ ? Jin?
Perimeter:-4a
[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]
Height=10in[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]
[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]
[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]
Center (-1,5); passes through (-4,-6)
Answer:
what is the question
Step-by-step explanation:
solve for x with step by step explanation
0.85x - 100 < 80
;-; i don't understand how to solve this help
0.85x-100<80
collect like terms
0.85x<80+100
0.85x<180
divide by 0.85
x<211.8
-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answer:
0.5013415404
Step-by-step explanation:
Is 392 a perfect cube? If not, find the smallest natural number by which
392 must be multiplied so that the product will be a perfect cube.
Answer:
no its not a perfect cube, we need to multiply a seven to make it perfect cube
Step-by-step explanation:
answer from GAUTHMATH
