Answer:
answer
x= 40°
Step-by-step explanation:
x= 40° [ base angle of isocles triangle]
A printer prints an average of 2001/2 pages per hour. Approximately how many pages did it print in a 8-hour period
Answer:
Step-by-step explanation:
Comment
I can't be sure what you mean by 2001/2. I will interpret it the way it is written.
1 hour produces 2001/2
8 hours produces x
What you have is a proportion.
Solution
1/8 = 2001/2 // x Cross multiply
1*x = 2001/2 * 8 Combine
x = 8004
Answer
The printer will produce 8004 printed pages.
please help.
A report by the NCAA states that 57.5% of football injuries occur during practices. A head trainer claims that this is too high for this conference, so he randomly selects 36 injuries and founds that 17 occurred during practices. Is his claims correct at a=0.05?
Answer:
he is more likely incorrect.
Step-by-step explanation:
Z = (ps - p0)/sqrt(p0(1-p0)/n)
ps = proportion sample
p0 = proportion null hypothesis (NCAA)
n = sample size
ps = 17 / 36/100 = 17/1 / 36/100 = 1700/36 =
= 47.22222222...%
Z = (0.47222... - 0.575)/sqrt(0.575(1 - 0.575)/36) =
= -0.10277777... /sqrt(0.244375 / 36) =
= -0.10277777... / 0.0823905... =
= -1.247446952... ≈ -1.25
p(-1.25) = 0.10565
0.10565 > 0.05
the null hypothesis is therefore likely, or at least cannot be rejected.
so, his claims are not supported, as surprising as this might feel given that the sample result itself is 10 points off the NCCA result, which feels to be a solid difference.
Hello please help asap!! i will mark brainliest and this is worth 20 points!!!!! tysm
The least number of colors needed to correctly color in the sections of the given picture so that no two touching sections have the same color is 5.
Let's say we begin with a single triangle. This triangle will be the first of a series of seven subsequent triangles, none of which will have any portions contact. If a square were the initial shape, then there are five shapes—three of which are squares and the other two are triangles—that don't have any touching portions. Given that a square takes up twice as much room, this value is probably lower, but location also matters. Therefore, for the given figure, the least number of colored areas you can color in that yet meet the required criteria is 5.
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Find the slope and reduce.
P=(-8, 3) Q=(-6, 2)
Slope
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Slope/Gradient = [tex]\frac{y1-y2}{x1-x2}[/tex]
P = (-8 , 3) (x1, y1)
Q = (-6 , 2) (x2, y2)
Slope = [tex]\frac{3-2}{-8-(-6)}[/tex] =[tex]\frac{1}{-8+6}[/tex] = [tex]\frac{1}{-2}[/tex] = [tex]-\frac{1}{2}[/tex]
Answer:
-1/2
Step-by-step explanation:
The formula for the slope is (change in y)/(change in x) or Rise/Run.
The change in y for the two points is: 3 --> 2 which is -1
The change in x for the two points is: -8 --> -6 which is +2
If we input these numbers in the slope equation, we end up with -1/2.
Since we cannot simplify -1/2 further, that is our final answer.
05* Find, for y> 0, the general solution of the differential equation dy/dx=xy.
Inlyl=1/2x^2+c
Inlyl=1/2x^2-c
Inlyl=-1/2x^2-c
Inly|=-1/2x^2+c
The ODE is separable.
[tex]\dfrac{dy}{dx} = xy \iff \dfrac{dy}y = x\,dx[/tex]
Integrate both sides to get
[tex]\displaystyle \int\frac{dy}y = \int x\,dx[/tex]
[tex]\boxed{\ln|y| = \dfrac12 x^2 + C}[/tex]
But notice that replacing the constant [tex]C[/tex] with [tex]-C[/tex] doesn't affect the solution, since its derivative would recover the same ODE as before.
[tex]\ln|y| = \dfrac12 x^2 - C \implies \dfrac1y \dfrac{dy}{dx} = x \implies \dfrac{dy}{dx} = xy[/tex]
so either of the first two answers are technically correct.
An oil-drilling company knows that it costs $25,000 to sink a test well. If oil is hit, the income for the drilling company will be $325,000. If only natural gas is hit, the income will be $155,000. If nothing is hit, there will be no income. If the probability of hitting oil is 1/40 and if the probability of hitting gas is 1/20, what is the expectation for the drilling company?
The expected value for the drilling company, using a discrete distribution, is of -$9,125, that is, a loss of $9,125.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Considering the cost that it takes to sink a test well, and the probabilities of each outcome, the discrete distribution is given by:
P(X = 300,000) = 1/40 = 0.025.P(X = 130,000) = 1/20 = 0.05.P(X = -25,000) = 1 - (0.025 + 0.05) = 0.925.Hence the expected value is given as follows:
E(X) = 300000 x 0.025 + 130000 x 0 .05 - 25000 x 0.925 = -$9,125.
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219. There is a local maximum at x = 2, local minimum at x = 1, and the graph is neither concave up nor concave down.
Which number line best shows how to solve –4 – (–8)? A number line from negative 10 to 10 is shown with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 4. Another arrow points from negative 4 to 8. A number line from negative 10 to 10 is shown with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 4. Another arrow points from negative 4 to 4. A number line from negative 10 to 10 is shown with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 4. Another arrow points from negative 4 to negative 8. A number line from negative 10 to 10 is shown with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 4.
The second number line best shows how to solve –4 – (–8). This can be obtained by finding the value of –4 – (–8) and checking which number line has the required arrow mark.
Which number line best shows how to solve –4 – (–8)?The value of –4 – (–8) is obtained.
–4 – (–8) = –4 + 8
–4 – (–8) = 4
The arrow should move from zero to - 4 and the second arrow should move from - 4 to 4.
From the question given the number lines,
First number line,The first arrow is moving from zero to - 4.
First condition is satisfied.
The second arrow is moving from - 4 to 8.
Second condition is not satisfied.
Second number line,The first arrow is moving from zero to - 4.
First condition is satisfied.
The second arrow is moving from - 4 to 4.
Second condition is satisfied.
Hence the second number line best shows how to solve –4 – (–8).
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please help urgently
Answer:
-20
Step-by-step explanation:
Use the distributive property to get [tex]2xy-14[/tex] (you multiply both xy and -7 by 2.) Now plug in the x and y values to get: [tex]2(-1)(3)-14[/tex]. This gets you [tex]-6-14[/tex] which is [tex]-20[/tex].
Amanda works as a waitress. She earns $50 a day plus 75% of the tips her customers leave.(The rest of the tips go to the kitchen
staff and bussers.) The table of values represents Amanda's earnings on different days. Write a linear equation that represents
the relationship between earnings and tips.
Tips ($)
20.00
50.00
100.00
Total Earnings ($)
65.00
87.50
125.00
The linear equation that represents the relationship between earnings and tips will be y = 0.75x + 50.
What is a linear equation?The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Working as a waitress is Amanda. She receives $50 every day in addition to 75% of the tips her clients leave.
Let 'x' be the tip amount and 'y' be the total earning.
y = 0.75x + 50
Check:
At (20,65), then we have
65 = 0.75(20)+50
65 = 15+50
65=65
At (50,87.5), then we have
87.5 = 0.75(50)+50
87.5 = 37.5+50
87.5=87.5
At (100,125), then we have
125 = 0.75(100)+50
125 = 75+50
125=125
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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
WILL GIVE BRAINLIEST FOR ACCURATE ANWSER
The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.
Given that BD is diameter of the circle and angle BAC is 100°.
We are required to find the central angle, major arc, minor arc, m BEC, BC.
Angle is basically finding out the intensity of inclination of something on the surface.
In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.
Major arc of a circle is that arc whose length is larger than all other arcs in the circle.
In our circle the major arc is arc BED.
Minor arc of a circle is that arc whose length is smaller.
In our circle the minor arc is arc ADC.
We know that arc's length is 2πr(Θ/360)
In this way BC=2π*(BD/2)*100/360
=(5π*BD)/18
We cannot find angle BEC.
Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.
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Under 20 Between 20 and 40 Over 40
10
20
20
7
19
11
Action
10
Comedy 3
Drama
16
The manager is going to randomly select one person to win a free movie pass.
What is the probability that the person selected is 40 years old or younger? Round the answer to the nearest hundredth. Enter the answ
the box.
The probability that the person selected is 40 years old or younger is 0.61.
What is the probability?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability that the person selected is 40 years old or younger = number of people 40 years or younger / total number of people at the movie theatre = (6 + 17 + 18 + 10 + 4 + 6) / (6 + 17 + 18 + 10 + 4 + 6 + 16 + 3 + 20)
61 / 100 = 0.61
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15. Michael, the art elective programme student,
is working on another assignment. He designs a
rectangular pattern measuring 45 mm by 42 mm.
He is required to use identical rectangular patterns to
form a square. The maximum area of the square
allowed is 1.6 m².
(i) How many patterns does he need to form the
smallest square?
(ii) What are the dimensions of the largest square
that he can form?
Step-by-step explanation:
1 meter = 1000 mm
the area of 1.6 m² means the side length of the square is
sqrt(1.6) = 1.264911064... m = 1,264.911064... mm
to create a square out of the rectangular pattern he needs to put e.g. 42 patterns along the 45 mm side and stack 45 patterns on top of the 42 mm side.
the minimum number of needed patterns we get via the last common multiple (LCM) of 42 and 45.
for this we use the prime factorization :
45 ÷ 2 no
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 3 no
5 ÷ 5 = 1
45 = 3² × 5¹
42 ÷ 2 = 21
21 ÷ 2 no
21 ÷ 3 = 7
7 ÷ 3 no
7 ÷ 5 no
7 ÷ 7 = 1
42 = 2¹ × 3¹ × 7¹
the LCM is the product of the longest streaks of each used prime factor.
LCM(42, 45) = 2¹ × 3² × 5¹ × 7¹ = 2×9×5×7 = 630
(i) he needs 210 patterns to form the smallest square.
this will be
14×45 mm on one side = 630 mm
15×42 mm on the other side = 630 mm
14×15 = 210 patterns.
(ii)
the limit per side length is as established
1,264.911064... mm
starting with the minimum of 630 mm how often can we add 42 mm in one direction and 45 mm in the other, and keep a 15 : 14 ratio between these numbers ?
and we need integer numbers, as we cannot use parts of the patterns (only full patterns).
45 × x <= 1264
x <= 1264/45 = 28.08888888... = integer 28
42 × y <= 1264
y <= 1264/42 = 30.0952381... = integer 30
30/28 = 15/14
so, the ratio is maintained for these numbers.
that means as maximum we can put
30×28 = 840 patterns as square inside the max. allowed area.
the dimensions of this max. square are therefore
30×42 = 1260 mm
28×45 = 1260 mm
the area of this square is then
1260mm × 1260 mm = 1,587,600 mm² = 1.5876 m²
What is the solution of the inequality shown
below?
c+3>8
Answer:
c > 5
Step-by-step explanation:
The properties of equality can be used to solve inequalities. Attention needs to be paid to ordering.
ApplicationWe can subtract 3 from both sides to solve this.
c +3 > 8 . . . . . . given
c +3 -3 > 8 -3 . . . . subtract 3 from both sides
c > 5 . . . . . . . . . simplify
The solution is c > 5.
__
Additional comment
Adding or subtracting a value to a number on a number line is equivalent to shifting it right or left. It does not change ordering.
Multiplying or dividing by a positive number is equivalent to expanding or compressing the distance from zero. It does not change ordering.
Multiplying or dividing by a negative number reflects the value across the origin, in addition to expanding or compressing the distance from zero. This reflection reverses the left-right ordering. For example, -2 < -1, but 2 > 1. (Both numbers multiplied by -1.)
As long as you're aware of the effect on ordering, you can use any of the properties of equality to solve inequalities.
When a lilac bush is planted, it is 24 inches tall. Each month, it grows 6 inches taller. How tall will It get over time?
Dependent variable: ______
Independent variable: ______
Equation: ______
Answer:
Dependent variable: time(months) or [tex]t[/tex]
Independent variable: 6
Step-by-step explanation:
[tex]h=24+6t[/tex]
(h=height)
how much money would u get from $521 a second in 19 minutes
We get $593,940
Answer:
Solution Given:
1 second = $ 521
19 minutes=19*60=1140 seconds
1140 seconds =$521*1140 =$593,940
Answer:
$593,940
Step-by-step explanation:
$521 for every second
First, you need to multiply 60 with 19, since there are 60 seconds in a minute.
We get: 60 × 19 = 1140
Now multiply $521 with 1140
We get: 521 × 19 = 593,940
Final result: $593,940
Hope this helps :)
Let Xi = (i =1,2,3) be independently and normally distributed random variable with mean of 4 as variance i. state the distribution of the following random variable
i) V = X1+X2+X3
The sum of normally distributed random variables is also a normally distributed random variable.
Given [tex]n[/tex] random variables with [tex]X_i\sim\mathrm{Normal}(\mu_i,\sigma_i^2)[/tex], their sum is
[tex]\displaystyle\sum_{i=1}^n X_i \sim \mathrm{Normal}\left(\sum_{i=1}^n \mu_i, \sum_{i=1}^n \sigma_i^2\right)[/tex]
i.e. normally distributed with mean and variance equal to the sums of the means and variances of the [tex]X_i[/tex].
In this case, each of [tex]X_1,X_2,X_3[/tex] are normally distributed with [tex]\mu=4[/tex] and [tex]\sigma^2[/tex] = ... I'm not sure what you meant for the variance, so I'll keep it symbolic. Then
[tex]V = X_1+X_2+X_3 \sim \mathrm{Normal}(12, 3\sigma^2)[/tex]
What is the measure of
Answer:
C
Step-by-step explanation:
[tex]\cos E=\frac{11}{18} \\ \\ E=\cos^{-1} \left(\frac{11}{18} \right) \\ \\ E \approx 52.33^{\circ}[/tex]
In a city of 56,000 people, there are 21,000 people under 25 years of age. What percent of the population is under 25 years of age?
Answer:
37.5
Step-by-step explanation:
So whenever you want to find "x" percent of a number, you just do: [tex]\frac{x}{100} * n = \text{x\% of n}[/tex]. You're essentially converting the percentage to it's decimal value by dividing by 100.
Given this information, we're solving for x, instead of x% of n. In this case n = 56,000, and x% of 56,000 is 21,000
[tex]\frac{x}{100} * 56000 = 2100[/tex]
Divide both sides by 56,000
[tex]\frac{x}{100} = \frac{21,000}{56,000}[/tex]
Multiply both sides by 100
[tex]x = 100(\frac{21,000}{56,000})[/tex]
Simplify:
[tex]x = 37.5\%[/tex]
This can be generally thought of as:
[tex]x=100(\frac{part}{whole})[/tex]
where part = partial amount, or how much is after finding what x% is of the whole amount, but in this case we know what it is, we just don't know what the "x" percent is.
The first attempt of the basic design of a new toy is shown.
6 in
16 in
10 in
8 in
24 in
What is the surface area of the new toy to the nearest square inch?
The surface area of the new toy is given as follows:
1,439 in².
What is the surface area of a figure?The surface area of a figure is given by the sum of the surface area of all it's compositions. This figure is given by a cylinder and a rectangular prism.
What is the surface area of a cylinder?The surface area of a cylinder with radius r and height h is given by the following formula:
[tex]S = 2\pi r(r + h)[/tex]
In this problem, the dimensions are:
r = 3 in, h = 16 in.
Hence:
[tex]S = 2\pi \times 3(3 + 19) = 132\pi[/tex]
What is the surface area of a rectangular prism?The surface area of a rectangular prism of length l, width w and height h is given as follows:
[tex]S = 2(lw + lh + wh)[/tex]
In this problem, the dimensions are:
l = 24 in, h = 10 in, w = 8 in.
Hence the surface area is:
S = 2 x (24 x 10 + 24 x 8 + 10 x 8) = 1024 in²
What is the surface area of the toy?It is the sum of the surface areas, hence:
[tex]132\pi + 1024 = 1439 \text{in}^2[/tex]
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Answer: Here you go :)
Step-by-step explanation:
Hope it helps!
Attached as a photo.
Applying the initial conditions, the specific solution is:
[tex]y = e^{-2x}(-3\sin{3x} + 4\cos{3x})[/tex]
What is the general solution?The general solution is given by:
[tex]y = e^{-2x}(C_1\sin{3x} + C_2\cos{3x})[/tex]
How to find the specific solution?We apply the initial conditions to find the specific solution.
First, we have that y(0) = 4, then:
[tex]4 = e^{-2(0)}(C_1\sin{3(0)} + C_2\cos{3(0)})[/tex]
Since cos(0) = 1, we have that:
[tex]C_2 = 4[/tex]
Then:
[tex]y = e^{-2x}(C_1\sin{3x} + 4\cos{3x})[/tex]
The derivative is:
[tex]y^\prime(x) = -2e^{-2x}(C_1\sin{3x} + 4\cos{3x}) + e^{-2x}(3C_1\cos{3x} - 4\sin{3x})[/tex]
Since y'(0) = -17, then:
[tex]-17 = -8 + 3C_1[/tex]
[tex]3C_1 = -9[/tex]
[tex]C_1 = -3[/tex]
Then the specific solution is:
[tex]y = e^{-2x}(-3\sin{3x} + 4\cos{3x})[/tex]
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helpppppp pleaseee asap
tysm
Answer:
(4,8)
hi hi hi hi hi hi hi hi
is it possible to see the answer without paying?
Answer:
yes dear u need not to pay before viewing answer
You should at least answer 1 question to view the answers.
graphs of exponential functions
An example of an exponential graph function has been attached and its' properties are as below.
How to draw the graph of an exponential function?The general formula for exponential functions is: f(x) = aˣ, a > 0, a ≠ 1.
The reasons for the restrictions are because;
If a ≤ 0, then when you raise it to a rational power, you may not get a real number.
The graph of an exponential function y = 2ˣ is shown in the attached file. Here are some properties of the exponential function when the base is greater than 1.
The graph passes through the point (0,1)The domain is all real numbersThe range is y>0.The graph is increasingThe graph is asymptotic to the x-axis as x approaches negative infinityThe graph increases without bound as x approaches positive infinityThe graph is continuousThe graph is smoothRead more about Exponential Function Graphs at; https://brainly.com/question/2456547
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Problem 9: Determine is the following function is one-to-one (explain your answer); F = {(-2,1), (-5,-1), (3,-5), (1,-2), (0,5), (-1,6), (-6,7), (7,-6)}
Answer:
YES! it's one-to-one function.
Step-by-step explanation:
Hello!One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then f is one to one.
Thus, when we look at this given function
X Y
[tex] - 2 \: \: \: \: \: \: 1 \\ - 5 \: \: \: \: \:- 1 \\ 3 \: \: \: \: \: \: - 5 \\ 1 \: \: \: \: \: \: - 2 \\ 0 \: \: \: \: \: \: 5 \\ - 1 \: \: \: \: \: \: 6 \\ - 6 \: \: \: \: \: \: \: 7 \\ \: \: 7 \: \: \: \: \: \: - 6[/tex]
So, when you look at each value of x is attaches with different value of y and there is no repetition of elements means that one element of x is directly attached to one element of y.
Hope it helps!
(1+m)²= (1-m)²+ 4lm,
The expression is simplified to give 2 ( m² + m + 2Im ) = 0
How to simplify the expression
Given the expression;
(1+m)²= (1-m)²+ 4lm,
Expand the expression
( 1 +m) ( 1 + m) = ( 1 + m) ( 1 - m) + 4Im
1 + m + m + m² = 1 - m + m - m² + 4Im
collect like terms
1 + 2m + m² = 1 - m² + 4Im
1 - 1 + m² + m² + 2m + 4Im
2m² + 2m + 4lm = 0
simplify
2 ( m² + m + 2Im ) = 0
Thus, the expression is simplified to give 2 ( m² + m + 2Im ) = 0
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Jennifer has 25 coins with a total value of $4.25. The coins are quarters and nickels. How many of each does she have?
Answer:
15 quarters, 10 nickels
Step-by-step explanation:
[tex]q+n=25[/tex]
[tex]0.25q+0.05n=4.25[/tex]
multiply the first equation by -0.25 and add the second equation to it
[tex]-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25[/tex]
________________
[tex]-0.2n=-2[/tex]
[tex]n=\frac{-2}{-0.2} =10[/tex] has 10 nickels
[tex]q=25-n=25-10=15[/tex] has 15 quarters
10(.05) +15(0.25) = 0.5 + 3.75 = 4.25
Hope this helps
Add the matrices.
What number fills in [?] ?
B
A
4
2
9 -4
3 -2 8
ܚ ܝܪ ܚ
-1
A + B =
25
9 -8
-1 5
596
1 [?]
3
4
82
4
7
-4
Entor
Answer:
3
Step-by-step explanation:
A + B is calculated by adding the same positions in both matrices.
and position (2, 3) in A+B is therefore the sum of position (2, 3) in A plus the position (2, 3) in B, which is then
-4 + 7 = 3
I have to be at work at 4 am it takes 34 mins to walk to work from my house what time would i have to leave my house to be at work on time at 4 am
Answer:
3:26 to be on time!
Step-by-step explanation:
If you leave your house at 3:26 am and then walk 34 minutes it will be 4 am
once you get to work.
Cual es el valor de x-7=13
Answer:
20
Step-by-step explanation:
u add 13+7 and that gives you 20, so if you subtract 20 and 7 that gives you 13