Answer: 101.6
Step-by-step explanation:
y∝(1/x)
this implies that
y=k/x eq(*)
when y=12.7 and x=8
12.7=k/8
(12.7)(8)=k
101.6 =k
HELP PLS ACELLUS IM ALMOST DONE W SUMMER SCHOOOL
Answer:
y = 95
Step-by-step explanation:
x + 120 = 180
25 + x + y = 180
flipping the first equation 180 - 120 = 60 so x is 60.
so plug in 60 into the second equation
25 + 60 + y =180 --> 85 + y =180 flip equation 180 - 85 = 95
so y is 95
9. Find the value of the
underlined digit in the
following number.
739,485 the three is underlined
Answer:
30,000
Step-by-step explanation:
place value of 3 is tens of thousands (10,000)
therefore its total value is : 3×10,000=30,000
Please solve this question
Hello,
[tex]\boxed{P(X = k) =( {}^{n} _{k}) \times p {}^{k} \times (1 - p) {}^{n - k} }[/tex]
[tex]P(X= k) = ( {}^{12} _{6}) \times 0.51 {}^{6} \times (1 - 0.51) {}^{12 - 6} [/tex]
We have :
[tex]( {}^{n} _{k}) = \frac{n!}{k!(n - k)!} [/tex]
[tex]( {}^{12} _{6}) = \frac{12!}{6!(12 - 6)!} = \frac{12!}{6!6!} = \frac{12 \times 11 \times 10 \times ... \times 1}{2(6 \times 5 \times 4 \times... \times 1) } = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 }{6 \times 5 \times 4 \times 3 \times 2 \times 1} = 924[/tex]
[tex]P(X = k) = 924 \times 0.51 {}^{6} \times 0.49 {}^{6} = 0.2250[/tex]
1/6z= -10
A. -60
B. -4
C. -5/3
D. -16
Answer:
z = -60
Step-by-step explanation:
1/6z= -10
To find the value for z, multiply each side by 6
6*1/6z= -10*6
z = -60
Which represents the solution set of the inequality 5x-921?
O 0 xs 1/2/2
O x21/12/2
O x26
O x≤6
The solution of the given Inequality is; D: x ≤ 6
How to find the solution of an Inequality?We want to find the solution to the Inequality;
5x - 9 ≤ 21
Using Addition property of equality, add 9 to both sides to get;
5x ≤ 30
Using division property of equality, divide both sides by 5 to get;
x ≤ 6
All real numbers less than or equal to 6
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Desperately need answer to this question
Answer:
20x^2 + 47x + 24
Step-by-step explanation:
The area of a rectangle is LENGTH * WIDTH. From the diagram, we see that LENGTH = 4x + 3 and WIDTH = 8 + 5x. Therefore the area is:
A = LENGTH*WIDTH
= (4x+3)(5x+8)
= 20x^2 + 32x + 15x + 24
= 20x^2 + 47x + 24
Answer: C. 20x²+47x+24
Step-by-step explanation: Use the FOIL Method (First, Outer, Inner, Last). Equation: (5x+8) (4x+3). Hope this helps!
Which of the following numbers is shown plotted on the number line?
Answer:
-2 3/8
Step-by-step explanation:
since point A is left of 0, it means it is a negative value.
so, the positive answer options are automatically out.
then we see that point A is 2 full units and a little bit left of 0.
that means it has to be lower than -2 but higher than -3.
-22/7 = -3 1/7
so, that is too low.
-3 7/8 is too low.
so, that leaves -2 3/8 (confirmed also by the fact that A is a little bit higher than half between -2 and -3, which is the case for -2 3/8).
NEED HELP ASAP PLEASE
20 POINTS !!!
The most suitable viewing window to solve the system is -20 ≤ x ≤ 20 and -15 ≤ x ≤ 15 option fourth is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two linear equations:
0.02x - 0.05y = -0.38
0.03x + 0.04y = 1.04
We can write above equations as follows:
2x - 5y = -38
3x + 4y = 104
After solving with the substitution method:
x = 16
y = 14
-20 ≤ x ≤ 20
-15 ≤ x ≤ 15
Thus, the most suitable viewing window to solve the system is -20 ≤ x ≤ 20 and -15 ≤ x ≤ 15 option fourth is correct.
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Help me with this please!!
Using the permutation formula, it is found that the probability that the CDs end up in alphabetical order is:
[tex]p = \frac{1}{8,204,716,800}[/tex]
For this problem, the order in which the CDs are chosen is important, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
8 CDs are chosen from a set of 21, hence the number of ways they can be chosen is:
[tex]P_{(21,8)} = \frac{21!}{13!} = 8204716800[/tex]
Only one arrangement is in alphabetical order, hence the probability is:
[tex]p = \frac{1}{8,204,716,800}[/tex]
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Becky owns a business in an area that has an assessment rate of . The property tax rate is per . What is the effective tax rate?
The effective tax rate based on the assumed information is 2.5%.
How to illustrate the tax?Let's assume that the figures are:
Income tax expense = $50
Income before tax = $2000
It should be noted that tax rate is calculated as:
= Income tax expense / Income before tax
= 50/2000
= 0.025
= 2.5%
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A muffin recipe that deals 50 muffins and use is 3 tablespoons of baking powder is being scale to heal 100 muffins how much baking powder will be needed convert to smallest measure
The quantity of baking powder needed to bake 100 muffins is 6 tablespoons of baking powder
RatioNumber of muffins : quantity of baking powder
= 50 : 3
How much baking powder is needed for 100 muffins
let
number of baking powder needed = bEquate the ratio of muffins to baking powder
50 : 3 = 100 : b
50/3 = 100/b
cross product50 × b = 3 × 100
50b = 300
b = 300/50
b = 6 tablespoons
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The scatter plot shows the relationship between the amount of rain received in a year and the average diameter of a fruit in a particular orchad that year
The regression equation is mathematically given as
[tex]\=Y = 5 + 0.3 X[/tex]
This is further explained below.
What is the Regression equation?The line is passing through (0, 5) and (15, 10).
Generally, the equation for Slope is mathematically given as
[tex]S=\frac{ (10 - 5)}{(15 - 0) }[/tex]
Therefore
S= 5/15
S= 1/3
S= 0.3
Intercept = 5
In conclusion,Regression equation:
[tex]\=Y = 5 + 0.3 X[/tex]
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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 60 degrees at midnight and the high and low temperature during the day are 73 and 47 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
D(t)=
Answer:
D(t)=60+23*sin(2*pi*t/24)+26*cos(2*pi*t/24)
Step-by-step explanation:
The temperature at any time t can be represented as:
D(t)=A+B*sin(2*pi*t/T)+C*cos(2*pi*t/T)
where A is the average temperature, B is the amplitude of the sine wave, C is the amplitude of the cosine wave, and T is the period.
In this case, we are given that the average temperature is 60, the high temperature is 73, and the low temperature is 47. We can therefore calculate that the amplitude of the sine wave is 23 and the amplitude of the cosine wave is 26. The period is 24 hours. Therefore, the equation for the temperature in terms of time is:
D(t)=60+23*sin(2*pi*t/24)+26*cos(2*pi*t/24)
The clinic has collected data finding that the total number of people in their service area is 50,000, 27% of the community is over the age of 65 and immunocompromised, and 11% of the community under 65 is immunocompromised. While the clinic wishes to market to all members of the community, immunocompromised people over 65 are their current priority.
Express the total number of people to which the health clinic must do outreach.
Explain in a one well-written paragraph, how you will analyze the data in this scenario to arrive at the answer you will provide in number 2.
The company should focus attention on 17515 people.
What is the percentage?The term percentage means a denominator of 100. We can proceed to find the people to which the company must reach as follows;
The percentage that is over the age of 65, and immunocompromised = 27%
so;
27/100 × 50,000 = 13500 people
50,000 - 13500 = 36,500
Now;
11% of this number are under 65 and immunocompromised so;
11/100 × 36,500 = 4015 people
Total number that the company should reach = 13500 + 4015 = 17515 people
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System AAA \text{\quad}start text, end text System BBB
\begin{cases}-3x+12y=15\\\\7x-10y=-2\end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
−3x+12y=15
7x−10y=−2
\begin{cases}-x+4y=5\\\\7x-10y=-2\end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
−x+4y=5
7x−10y=−2
1) How can we get System BBB from System AAA?
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
For systems A and B we have:
1) Change the first equation in A by a multiple of itself. (the multiple is 1/3).
2) Yes, the systems are equivalent.
How to get system B from system A?
Here we have the systems of equations:
A:
-3x + 12y = 15
7x - 10y = -2
B:
-x + 4y = 5
7x - 10y = -2
Notice that the second equation is the same in both systems, so we only need to work with the first ones.
If we take the first equation in system A:
-3x + 12y = 15
If we divide both sides by 3, we get:
-x + 4y = 5
Which is the first equation of B.
So we just need to replace the first equation in system A by a multiple of itself to get system B.
Because of that, we conclude that both systems are equivalent (because are made of the same equations) which means that both systems have the same solutions.
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Answer: C), Yes
Step-by-step explanation:
Consider the following system of two linear equations:
2x + 3y = 12
2x – 3y = 0
Select the graph that correctly displays this system of equations and point of intersection.
Answer: 1st graph (3,2)
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
find m
a.66
b.71
c.21
d.26
Answer:
71°
Step-by-step explanation:
84+(2x-1)+(x+8)+(x+5)=360 [angles in a quadrilateral add to 360°]4x+96=360 [combine like terms]4x=264 [subtract 96 from both sides]x=66 [divide both sides by 4]So, angle A measures 66+5=71°
The center of a sphere is
a line segment from the center point to the surface of the sphere.
a fixed point equidistant from all points on the surface of the sphere.
a three-dimensional circle in which all points are equidistant from a fixed point.
the same as the base of the sphere.
Answer:
Center of the Sphere is a fixed point in its interior which is equidistant from each point on sphere. Option A is not right because it says center is line segment. Option B is right as it says it is fixed and equidistant from point of surface.
Step-by-step explanation:
Consider function f. f(x) = cube root of x - 7. Select g(x) so that f(g(x)) = g(f(x)) = x for all values of x.
The function g(x) is [tex]g(x) = (x + 7)^3[/tex]
How to determine the function g(x)?The function f(x) is given as:
[tex]f(x) = \sqrt[3]{x} - 7[/tex]
If f(g(x)) = g(f(x)) = x, then the functions are inverse functions.
So, we have:
[tex]f(x) = \sqrt[3]{x} - 7[/tex]
Rewrite as:
[tex]y = \sqrt[3]{x} - 7[/tex]
Swap x and y
[tex]x = \sqrt[3]{y} - 7[/tex]
Add 7 to both sides
[tex]x + 7 = \sqrt[3]{y}[/tex]
Take the cube of both sides
[tex]y = (x + 7)^3[/tex]
This implies that
[tex]g(x) = (x + 7)^3[/tex]
Hence, the function g(x) is [tex]g(x) = (x + 7)^3[/tex]
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which graph represents the function h(x)=IxI+0.5
Answer:
It should look like a v with the origin at +0.5
Step-by-step explanation:
Use the function below to find F(3).
Hello !
[tex]F(x) = \frac{1}{3} \times {4}^{x} [/tex]
[tex]F(3) = \frac{1}{3} \times {4}^{3} \\ = \frac{1}{3} \times 64 \\ = \frac{64}{3} [/tex]
==> B
Have a nice day ;)
Hello,
Answer: 64/3
B
Step-by-step explanation:
F(x) = 1/3 × 4ˣ
F(3) = 1/3 × 4³ = 1/3 × 64 = 64/3
What is slope of the line?
y+6=13(x−4)
−13
1 3
4
6
Answer:
Therefore the slope is 13
Step-by-step explanation:
Using Slope intercept formula y = mx + b.
Note : m is the slope ( the number near x).
y+6=13(x−4)
y+6 = 13x - 52
Add -6 to both sides
y+ 6- 6 = 13x- 52- 6
y= 13x -58
Therefore the slope is 13
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What is the slope of the line y+6=13(x-4)
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
The slope of this particular graph is: the constant multiplied by the parentheses.
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=Slope \:13}[/tex]
[tex]\boxed{\bf{aesthetic\not101}}[/tex]
Simplify
9/2 - 3√7 +8 - 28
0.11√2-5√7
11√4-5√14
6 5
6 9
Step-by-step explanation:
gfyiaycoeayclpb tydivh.
Find the greatest common factor of the
following monomials:
9w³
21w
15w6
Enter the correct answer.
Answer:
Step-by-step explanation:
9w^{321+15+6}
9w^{342}
3. A-line segment has endpoints A(–2, 3) and B(6, –1):
i) Outline your strategy for finding the equation of its perpendicular bisector. (3C)
ii) Carry out the strategy and find the equation of its perpendicular bisector. (3T)
The equation of the segments perpendicular bisector is; y = -¹/₂x + 2
How to find the equation of the perpendicular bisector?i) Since it is a perpendicular bisector, hence point M is the midpoint. Thus;
Midpoint (AB) = [(x₁ + x₂)/2], [(y₁ + y₂)/2] = (x_m, y_m)
Slope AB will be;
m₁ = ((x₁ - x₂)/(y₁ - y₂))
Slope of perpendicular bisector is;
m₂ = -1/m₁
Equation of perpendicular bisector is;
(y - y_m) = m₂(x - x_m)
ii) Midpoint (AB) = [(-2 + 6)/2], [(3 - 1)/2] = (2, 1)
Slope AB will be;
m₁ = ((6 + 2)/(-1 - 3)) = -2
m₂ = -1/-2 = 1/2
Equation of perpendicular bisector is;
(y - 1) = -¹/₂(x - 2)
y - 1 = -¹/₂x + 1
y = -¹/₂x + 2
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1.) Which of the following is not equal to 6¹⁰?
a. 2¹⁰ + 3¹⁰
b. (6²)⁵
d. (2 x 3)¹⁰
c. 2¹⁰ x 3¹⁰
2.) What is 25 ½ ÷ ½ ?
a. 25
b. 51
c. 12 ¾
d. 25 ¼
Answer:
1) a
2) b
Step-by-step explanation:
1) Lets check all the options
a) Cannot be simplified
b) [tex](6^2)^5=6^{10}[/tex] because [tex](a^m)^n=a^{mn}[/tex]
c) [tex](2\times3)^{10}=6^{10}[/tex] fairly self-explanatory because [tex]2\times3=6[/tex]
d) [tex]2^{10}\times3^{10}=6^{10}[/tex] because [tex]a^m\times b^m=ab^m[/tex]
Hence a is the answer.
2) [tex]25\frac12\div\frac12=\frac{51}2\times\frac21=51[/tex]
Hence b is the answer
Given: PB tangent PV, PU secants
If m VU = 80° and m ST = 40°, then m <2 =
A. 60
B. 40
C. 20
The measure of <2 is 60.
what is tangent?The tangent is defined as a line touching circles or an ellipse at only one point.
given:
VU = 80° and ST = 40°
By using theorem,
The measure of the internal angle is the semi- sum of the arcs comprising it and its opposite.
<2= 1/2 (80+ 40)
<2= 60
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Graphing proportional relationships
Problem
Graph the line that represents a proportional relationship betweenddd andttt with the property that an increase of 0.20.20, point, 2units intttcorresponds to an increase of1.81.81, point, 8units inddd.
What is the unit rate of change ofdddwith respect tottt? (That is, a change of 111unit intttwill correspond to a change of how many units ind?d?d, question mark)
The unit rate of change is
.
Graph the line.
a. The unit rate is 9 d per t
b. Find the graph in the attachment
To graph the line, we need to find its gradient or unit rate
a. How to calculate the unit rate of change of d with respect to t?Since t has an increase of 0.20 units in t corresponds to an increase of 1.8 units in d.
The gradient or unit rate of change is m = change in d/change in t
= Δd/Δt
Since
Δd = +1.8 units and Δt = +0.2 unitsSo, substituting the values of the variables into the equation, we have
m = Δd/Δt
= + 1.8 units/+ 0.2 units
= 9 d per t
So, the unit rate is 9 d per t
b. The graph of the line
To graph the function, we need to know the equation of the graph.
So, the equation of a graph in gradient form is
m = (y - y')/(x - x') where (x', y') = (0, 0) since the graphs both start at the origin
Since m = 9, we have
m = (y - y')/(x - x')
9 = (y - 0)/(x - 0)
9 = y/x
y = 9x
So, the equation of the line is y = 9x
Find the graph in the attachment.
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Two years ago, Lisbeth's age was a fifth of Olivia's age. In four years, Olivia's age will be three times Lisbeth's age. How old are they now?
Answer:
Olive's age = 32
Lisbeth's age = 8
Step-by-step explanation:
Declaration
Let Eisbeths present age = x
Let Olive's age = y
Equations
(x - 2) = 1/5 (y - 2)
x + 4 = 1/3(Y + 4)
Solution
1st equation
(x - 2) = 1/5 (y - 2) Multiply both sides by 5
5(x - 2) = y - 2 Remove the brackets
5x - 10 = y - 2 Add 10 to both sides
5x -10+10 = y - 2+10 Combine
5x = y + 8 Subtract 8 from both sides
5x - 8 = y + 8 - 8 Combine
5x - 8 = y
2nd Equation
x + 4 = 1/3(y + 4) Multiply both sides by 3
3(x + 4) = y + 4 Remove the brackets
3x + 12 = y + 4 Subtract 3 from both sides
3x + 12 - 4 = y + 4 - 4 Combine
3x + 8 = y
Note Since y is the same in both equations, the left side of each can be thought of as equal to each other.
3x + 8 = 5x - 8 Add 8 to both sides
3x + 8 + 8 = 5x - 8 + 8 Combine
3x + 16 = 5x Subtract 3x from both sides
3x - 3x + 16 = 5x - 3x Combine
16 = 2x Divide by 2
16/2 = 2x/2
8 = x
y = 3x + 8
y = 32
Help asap much appreciated
hellooo
Step-by-step explanation:
so sine is 0 and (-1/3 isnt gonna positive out on the other side no is positive so ur last answer E is it