Answer:
60162.3214286
Step-by-step explanation:
that's just what my calculator said
The white triangle drawn on the road sign in the picture has a helght of 8" and a base of 5". The red rim around the edge adds another Inch to each dimension making the base of the larger triangle 12 inches. Ignoring the white edge around the very outside, what is the area of the red border? (Hint: find the area of the whole triangle and subtract the area of the smaller triangle inside it.
Answer:
The answer would be
Step-by-step explanation:
you multiple 8 and 5 then you multiple 12 (inches) then subtract the inch that makes up 12 let me know if you need help
In how many ways can we seat 3 pairs of siblings in a row of 7 chairs, so that nobody sits next to their sibling
Answer:
1,968
Step-by-step explanation:
Let x₁ and x₂, y₁ and y₂, and z₁ and z₂ represent the 3 pairs of siblings, and let;
Set X represent the set where the siblings x₁ and x₂ sit together
Set Y represent the set where the siblings y₁ and y₂ sit together
Set Z represent the set where the siblings z₁ and z₂ sit together
We have;
Where the three siblings don't sit together given as [tex]X^c[/tex]∩[tex]Y^c[/tex]∩[tex]Z^c[/tex]
By set theory, we have;
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = [tex]\left | X^c \cup Y^c \cup Z^c \right |[/tex] = [tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex]
[tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex] = [tex]\left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]
Therefore;
[tex]\left | X^c \cap Y^c \cap Z^c \right | = \left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]
Where;
[tex]\left | U\right |[/tex] = The number of ways the 3 pairs of siblings can sit on the 7 chairs = 7!
[tex]\left | X\right |[/tex] = The number of ways x₁ and x₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | Y\right |[/tex] = The number of ways y₁ and y₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | Z\right |[/tex] = The number of ways z₁ and z₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | X \cap Y\right |[/tex] = The number of ways x₁ and x₂ and y₁ and y₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | X \cap Z\right |[/tex] = The number of ways x₁ and x₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | Y \cap Z\right |[/tex] = The number of ways y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | X \cap Y \cap Z\right |[/tex] = The number of ways x₁ and x₂, y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 2 × 4!
Therefore, we get;
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 7! - (2×6! + 2×6! + 2×6! - 2 × 2 × 5! - 2 × 2 × 5! - 2 × 2 × 5! + 2 × 2 × 2 × 4!)
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 5,040 - 3072 = 1,968
The number of ways where the three siblings don't sit together given as [tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 1,968
How do I answer number 1
Answer:
Haley simplified correctly
Step-by-step explanation:
According to indices rule, if we have the same base and we are to multiply two numbers raised to exponent, we are to add the powers on the bases
So, it is expected that;
x^3 * x^2 = x*(3 + 2) = x^5
However, x^3 + x^2 stays the same (but of course can only be factorised)
So we can conclude that only Haley’s answer is correct
find the positive sqaure roots up to 3 decimals
i) 1+(0.046)2
Step-by-step explanation:
1+0.092= 1.0922) 1+0.042= 1.042
Answer:
1+0.092= 1.0922) 1+0.042= 1.042
Step-by-step explanation:
it is the explanation 1+0.092= 1.0922) 1+0.042= 1.042
X,Y and Z from a business with capitals Rs 5000,Rs.4500 and Rs.6500 respectively,after 6 month,X doubles has capital and after next 3 months Y trebles his capital .If the profit at the end of the year amount to RS.8300,find the profit obtained by each X,Y and Z.
Answer:
Profit obtained by X = Rs. 2,976.64
Profit obtained by Y = Rs. 2,545.58
Profit obtained by Z = Rs. 2,777.78
Step-by-step explanation:
Total capital for the first 6 months = Rs 5000 + Rs.4500 + Rs.6500 = Rs. 16,000
Total capital for the next 3 months = Rs. 16,000+ Rs 5000 = Rs. 21,000
Total capital for the last 3 months of the year = Rs. 21,000 + (Rs 4500 * 2) = Rs. 30,000
Share of profit of each partner is the sum of all the ratios of his capital to total capital of the business at each point in time multiply by the ratio of the numbers of months covered by each capital to 12 months and then multiply by RS.8300.
Profit obtained by X = ((Rs 5000 / 16,000) * (6 / 12) * Rs. 8300) + ((Rs 10,000 / 21,000) * (3 / 12) * Rs. 8300) + ((Rs 10,000 / 30,000) * (3 / 12) * Rs. 8300) = Rs. 2,976.64
Profit obtained by Y = ((Rs 4500 / 16,000) * (6 / 12) * Rs. 8300) + ((Rs 4500 / 21,000) * (3 / 12) * Rs. 8300) + ((Rs 13,500 / 30,000) * (3 / 12) * Rs. 8300) = Rs. 2,545.58
Profit obtained by Z = ((Rs 6500 / 16,000) * (6 / 12) * Rs. 8300) + ((Rs 6500 / 21,000) * (3 / 12) * Rs. 8300) + ((Rs 6,500 / 30,000) * (3 / 12) * Rs. 8300) = Rs. 2,777.78
Confirmation of total profit shared = Rs. 2,976.64 + = Rs. 2,545.58 + Rs. 2,777.78 = Rs. 8,300
Describe what a vaccine is made of and how it helps prevent infection.
Answer:
Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.
hope it helps.
stay safe healthy and happy...Answer:Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
x = 12
Step-by-step explanation:
First we need to add x & 1/4x.
Pretend there's a 1 infront of x, so that the equation looks like:
1x + 1/4x = 15
To combine the two terms, we need to get the 1 to have the same denominator as 1/4, so let's multiply 1 (which is the same as 1/1) by 4/4.
You get 4/4! Substitute that into the equation:
4/4x + 1/4x = 15
Now combine the terms:
(4/4x + 1/4x = 5/4x)
5/4x = 15
Finally, multiply both sides by 4/5 to cancel out the 5/4:
x = 15*4/5
x = 60/5
x = 12
Hope it helps (●'◡'●)
dåså, man på rådets ordförande
4x+7=15x-1-3x
Solve for x plss
Answer: x=1
Step-by-step explanation:
4x-12x=-1-7
-8x=-8
Find the missing Angles
1. a = 68
b = 112
c = 68
2. a = 127
3. a = 35
b = 40
c = 35
d = 70
4. a = 20
b = 70
c = 20
d = 70
e = 110
5. a = 90
b = 90
c = 42
d = 48
e = 132
6. a = 70
b = 55
c = 25
What is the equation of the following line? Be sure to scroll down first to see
all answer options
(0,0)
2,-8)
O A. y=-4x
O B. y = 8x
O C. y=-x
D. y = 8
O E. y = 4x
O F. y = 18
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-0}{2-0}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
The line crosses the y- axis at (0, 0) ⇒ c = 0 , then
y = - 4x + c , that is
y = - 4x → A
The equation of line passes through the points (0, 0) and (2, -8) will be;
⇒ y = - 4x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 0) and (2, -8).
Now,
Since, The equation of line passes through the points (0, 0) and (2, -8).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 8 - 0) / (2 - 0)
m = - 8 / 2
m = - 4
Thus, The equation of line with slope - 4 is,
⇒ y - 0 = - 4 (x - 0)
⇒ y = - 4x
Therefore, The equation of line passes through the points (0, 0) and
(2, -8) will be;
⇒ y = - 4x
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is
16
inches shorter than
1
1
2
times Theresa’s height. Steve says he is
6
inches shorter than
1
1
3
times Theresa’s height. If they are both right, how tall is Theresa?
Answer:
From given, we have,
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.
Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.
Let the height of Theresa be "x" inches.
So, we get,
For Paul, 1 1/2 x - 16 = T
⇒ 3/2 x - 16 = T ......(1)
For Steve, 1 1/3 x - 6 = T
⇒ 4/3 x - 6 = T .........(2)
equating equations (1) and (2), we get,
3/2 x - 16 = 4/3 x - 6
6 - 16 = 4/3 x - 3/2 x
-10 = (8 - 9)/6 x
-60 = -x
x = 60 inches.
Therefore, Theresa is 60 inches tall.
Pls answer it with explanation
Answer:
x=24 y=131
Step-by-step explanation:
it is right answer
Answer:
x = 24, y = 131
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180°
Sum the 3 angles and equate to 180
72 + 35 + 25 + 2x = 180 , that is
2x + 132 = 180 ( subtract 132 from both sides )
2x = 48 ( divide both sides by 2 )
x = 48
--------------------------------------------
Similarly in the lower triangle
25 + x + y = 180
25 + 24 + y = 180
49 + y = 180 ( subtract 49 from both sides )
y = 131
please hurry :(
Given m||n, find the value of x.
m
xº
1189
+-
Answer:
62°
Step-by-step explanation:
if the measure of angle def is 65° what is the measure of arc de?
EF is tangent to the circle we'll assume; otherwise there's no progress.
Call the center C. ECD is isosceles, formed from two radii and the chord.
Angle CED is complementary to DEF
CED = 90 - 65 = 25 degrees
CDE is congruent, isosceles triangle and all that: CDE=25
That leaves DCE=180-25-25=130 degrees
That's the measure of arc DE as well:
Answer: 130 degrees, choice A
Answer:
130
Step-by-step explanation:
Out of the 30 days in June, you run 13 days and swim 6 days. You lift weights 7 days
and ride a bike 4 days. If you make a pie chart to show this data, how many degrees
of the circle should represent swimming?
9514 1404 393
Answer:
72°
Step-by-step explanation:
In a properly constructed pie chart, the proportion of the circle devoted to each section is the same as the proportion of that section to the the whole.
(6 swim days)/(30 days) = (swim pie angle)/(360°)
Multiply by 360° to find ...
swim pie angle = (360°)(6/30) = 72°
72° of the circle should represent swimming.
what is the product of the prime factors of 24
Answer:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3. A good way to check the result is to multiply it out and make sure the product is 24.
Step-by-step explanation:
given the diagram, what is m
Answer:
∠ ADC = 145°
Step-by-step explanation:
The central angle is equal to the measure of the arc that subtends it, then
∠ ADE = 70°
∠ EDC = 75°
∠ ADC = ∠ ADE + ∠ EDC = 70° + 75° = 145°
Find the probability of 5 successes in 9 trials of a binomial experiment in which the probability of success in any one trial is 37%.
Answer:
0.1376
Step-by-step explanation:
We will use the binomial formula here
Where p = 37% = 37/100 = 0.37
1-p = 1-0.37 = 0.63
So we have
P(x = 5) = 9C5 * 0.37^5 * 0.63^4 = 0.1376
Figure A is a scale image of Figure B. What is the value of x?
khan academy
Answer:
maybe 12 because
Step-by-step explanation:
30/25=1.2
10×1.2=12
Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence
Answer:
A sample size of 2401 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What sample size would be needed to construct a margin of error of 2% with 95% confidence?
This is M for which n = 0.02.
Supposing we have no estimate for the true proportion, we use [tex]\pi = 0.5[/tex].
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]
[tex]n = 2401[/tex]
A sample size of 2401 is needed.
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of $221 per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company $4900. Suppose for each ToughPix1 there is a 3% chance that it will need to be replaced exactly once, a 2% chance that it will need to be replaced exactly twice, and a 95% chance that it will not need to be replaced.
Answer:
Brad & Matthew can expect to lose money from selling these cameras of -$122
Step-by-step explanation:
Calculation to determine if it should expect to make or lose money from selling them and How much?
First step is to calculate the expected costs
Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)
Expected costs=$147+$196
Expected costs=$343
Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold
Expected Profit or loss =($221-$343)
Expected Profit or loss =-$122
Therefore it Should expect to LOSE money from selling them of the amount of -$122
The area of a square garden is 40000/1600 square meters. Find the side length of the garden in meters.
Answer:
5 ..... 144/16 = 25 sqrt(25) = 5
Step-by-step explanation:
Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher
What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?
Step-by-step explanation:
The function f(x)+7 will shift the parent function up 7 units.
The function f(x+7) will shift the parent function to the left 7 units.
The function 7f(x) will stretch vertically by a factor of 7.
Find f(2) if f(x) = (x + 1)^2.
9
6
5
Answer:
9
Step-by-step explanation:
f(2)=(2+1)^2
(3)^2
(9)
(3/2)^(-2).......................................................................
Answer:
4/9
Step-by-step explanation:
First of all we need to get rid of the -2 exponent and make it positive in order to solve this equation.
Therefore to do this we just use the reciprocal of 3/2 which is 2/3
Now we have (2/3)^2
Since 2/3 is being squared we used the following equation below:
(2/3) * (2/3)
We multiply 2/3 by itself twice since 2 is the exponent.
Then we get:
2^2
-----
3^2
2 squared is 4 and 3 squared is 9.
Therefore the final answer is 4/9.
I hope this helps have a good rest of your day!
Answer:
4/9
Step-by-step explanation:
(3/2)^(-2)
(3/2)^2=(3/2)(3/2)=9/4
However, ^(-2) means 1/(9/4), which gives you 4/9.
Find the domain in the given ordered pairs.
{(2, 3), (3, 5), (6, 7), (8, 9)}
Answer:
saaad
Step-by-step explanation:
Answer:
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Step-by-step explanation:
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
The domain is the input and the range is the output
domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}
We put the numbers in order from smallest to largest
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Please help me ASAP... Will give brainliest
Answer:
52
Step-by-step explanation:
SA=2*4*3+2*4*2+2*3*2=24+16+12=52
Answer: The answer is 52.
Step-by-step explanation: Plug in the formula listed in red words.
2(4x3)+2(4x2)+2(3x2)
= 2(12)+2(8)+2(6)
= 24+16+12
= 52
Therefore, the surface area of the rectangular prism is 52.
Can someone help me with this math homework please!
Answer:
#1: (D) all real numbers greater than or equal to -3
#2: (D) It is not a function because there are two different y-values for a single x-value
#3: (A) all real numbers
#4: (B, C)
#5: (B) {y | y = -9, -3, 0, 5, 7}
Step-by-step explanation:
Question 1:
The domain of the function is all the input values, or the x values. The graph extends all the way to right infinitely. However, to the left, it ends at -3. Because the dot is filled, that means the domain INCLUDES -3. So it's (D).
Question 2:
By definiton, a function is a relation between a set of inputs and a set of outputs. However, each input only has ONE output.
If you noticed, there are two points: (4, 4) & (4, -2)
There are two different y-values, 4 & -2, for one x-value, 4.
Question 3:
The graph extends infinitely both directions, so it's all real numbers.
Question 4:
The amount of water DEPENDS on the amount of rice you put in, so the amount of water is the dependent variable. The rice doesn't depend on the amount of water, so it's the independent variable. (By the way, it's not the last option because you need two options)
Question 5:
The range of the function is the y values. So you are only going to put the y values from the coordinate points in the range. Thus, (B) is the answer.
Hope it helps (●'◡'●)
solve for the measure of x in the drawing shown below
Answer:
50
Step-by-step explanation:
x° = 1/2 * 100°
x° = 50°
x = 50
Helppp and plss explain
Answer:
(40,30)
Step-by-step explanation:
This is when the prices are the same so they cross on the graph.
Answer:
C
Step-by-step explanation:
We want to find the ordered pair that estimates the time and cost at which the two stores charge the same amount
If the graph shows the two stores times and amount charged then wherever the two lines intersect is where the time and amount charged is the same
The two lines intersect at (40,30)
Hence the answer is C