i need help pleaseee
Answer:
1. a
2. d
Step-by-step explanation:
According to PCAC Theorem, corresponding angles are congruent, so:
\(103=5x+8\\103-8=5x\\(95=5x)/5\\19=x\)
According to PAEC Theorem, alternate exterior angles are congruent, so:
\(103=4y+3\\103-3=4y\\(100=4y)/4\\25=y\)
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=34 and EB=38, solve for EA. Round to the nearest tenth if necessary
The value of side EA is,
EA = 16.9
We have to given that;
Circle E with diameter CD and radius EA.
And, AB is tangent to E at A.
Here, AB = 34 and EB = 38
Hence, By using Pythagoras theorem we get;
AB² + AE² = EB²
34² + AE² = 38²
1156 + AE² = 1444
AE² = 1444 - 1156
AE² = 288
AE = √288
AE = 16.9
Thus, The value of side EA is,
EA = 16.9
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please help me with parts a, b, and c of thos problem!!
We have the following:
The formula that corresponds to the calculation of the population is as follows
\(P=A\cdot(1+r)^t\)Where A is the population of 952 108 000 inhabitants, r is the growth rate and t is the time elapsed
a.
2000
\(\begin{gathered} t=2000-1996=4 \\ P=952,108,000\cdot(1+0.013)^4=1002591447.8\cong1,002,600,000 \end{gathered}\)2010
\(\begin{gathered} t=2010-1996=14 \\ P=952,108,000\cdot(1+0.013)^{14}=1140823475.4\cong1,140,800,000 \end{gathered}\)b.
In this case what we must do is replace by 10, which is the equivalent in years of a decade in the part of the equation that corresponds to growth
\(\begin{gathered} (1+0.013)^{10}=1.13787 \\ 1.13787-1=0.1378 \end{gathered}\)That is, the growth is approximately 13.78%
c.
In this case, we must calculate until 2000 with the percentage of 1.3% and then from 2000 until 2010 calculate with the new growth rate
A then would be the population calculated in part a, that is, 1,002,600,000 and t would be 10 (2010 - 2000)
replacing
\(P=1,002,600,000\cdot(1+0.01)^{10}=1107494142.9\cong1,107,500,000\)Therefore with the new growth rate the population in India in 2010 would be 1,107,500,000
A rescue mission has been conducted using a plane to drop supplies in medical personnel. Helicopters also sent from the same station to rescue wanted persons. If a plane flies 400 mph, helicopter flies 200 mph and they leave at the same time, how far away is the rescue site if the helicopter arrives one hour after the plane arrives? If t represents the time that the plane flies which of the following equations would be used to solve the problem?
Answer:
400t=200(t+1)
Explanation:
• The speed of the plane = 400 mph
,• The time that the plane flies = t hours
Similarly:
• The speed of the helicopter = 200 mph
Since the helicopter arrives one hour after the plane arrives:
• The time taken by the helicopter = (t+1) hours
\(\begin{gathered} Speed=\frac{Distance}{Time} \\ \implies Distance=Speed\times Time \end{gathered}\)The distance covered by the plane = 400t
The distance covered by the helicopter = 200(t+1).
Since both were sent from the same station, it means that the distance covered is the same.
Therefore, the equation that could be used to solve the problem is:
\(400t=200(t+1)\)The third option is correct.
What is the volume of the prism 2.4in 1.5in 8in
Answer:
The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.
Can someone help me
Answer: Around 38.2°
Step-by-step explanation:
Set ∠A = x & a = 15Set ∠B = 27° & b = 11Substitute them into the formula for the law of sines:
\(\frac{sinA}{a} =\frac{sinB}{b} \\\\\frac{sinx}{15}=\frac{sin27}{11} \\\)
Cross-multiply:
\(11sinx=15sin27\)
Solve for x:
\(sinx=\frac{15sin27}{11} \\\\x=sin^{-1} (\frac{15sin27}{11})\\\\=38.2488\)
5. Skylar got a manicure for $25. If she plans to
tip 20%, how much is her tip?
Answer:
$5.00
Step-by-step explanation:
All we have to do is multiply 25 x 1/5 or 20%
25 x 1/5 = $5.00
to check, $5 x 5 = 25
Thursday is ladies night at the slurp in Burt bar and Grill. All adult beverages are $1.25 for women and $2.00 for men. A total of 248 adult beverages were sold last Thursday night. If the slip and burp sold a total of $470.50 in adult beverages last Thursday night, how many adult beverages were sold to women. Please help/ answer ASAP!
Answer: 34 beverages
Step-by-step explanation:
We can use system of equations to find the amount of adult beverages sold to women. Let's use x for women and y for men.
Equation 1
1.25x+2y=470.5
Equation 2
x+y=248
We can use elimination method to cancel out the y so we can find the about for women, since that is what the question is asking. To do so, we must multiply the entire second equation by 2 so both y equal.
1.25x+2y=470.5
2x+2y=496
Now, we can subtract both equations to cancel out 2y.
-0.75x=-25.5 [divide both sides by -0.75]
x=34
There were 34 adult beverages sold to women.
What is the range of y=|x-4|-2
Domain of y=|x-4|-2 : (-∞, ∞) by -∞ < x < ∞
Range of y=|x-4|-2: [-2, ∞) by F(x) ≥ -2
What is meant by range of function?When a function is applied to its entire set of outputs, the set of outputs it produces is known as its range. The set of things that really leave the function machine after you give it all the inputs is referred to as the range in the metaphor. The set of possible output values for a function is its range.
The range of values that can be plugged into a function is known as its domain. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range. Following the insertion of an x value, the function outputs this sequence of values.
Domain of y=|x-4|-2 : (-∞, ∞) by -∞ < x < ∞
Range of y=|x-4|-2: [-2, ∞) by F(x) ≥ -2
Axis interception points of |x - 4| - 2:
X Intercepts: (2, 0), (6, 0), Y Intercepts: (0, 2)
Asymptotes of |x - 4| - 2 : None
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i need to know what this movie is, what is the name of this move.
Answer:
Step-by-step explanation:
Percy Jakcson maybe?
p+h= 43
4.5p+12h=276
9514 1404 393
Answer:
(p, h) = (32, 11)
Step-by-step explanation:
We can write an expression for p using the first equation, then substitute that into the second equation.
4.5(43-h) +12h = 276 . . . . substitute for p
193.5 +7.5h = 276 . . . . . . eliminate parentheses
7.5h = 82.5 . . . . . . . . . . . . subtract 193.5
h = 82.5/7.5 = 11 . . . . . . . . divide by the coefficient of h
p = 43 -11 = 32
The solution is (p, h) = (32, 11).
Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If the top 5 percent and bottom 15 percent are excluded for an experiment, what is the bottom cutoff heights to be eligible for this experiment? Round your answers to one decimal place.
Answer:
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 69.0 inches and a standard deviation of 2.8 inches.
This means that \(\mu = 69, \sigma = 2.8\)
What is the bottom cutoff heights to be eligible for this experiment?
The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.037 = \frac{X - 69}{2.8}\)
\(X - 69 = -1.037*2.8\)
\(X = 66.1\)
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Double the difference of a number n and 3 is -10. Which equation models this "number riddle" correctly?
A. 2 - n - 3 = -10
B. 2(3 - n) = -10
C. 2 (-10) = 3
D. 2(n - 3) = -10
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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What’s the correct answer for this question?
Answer:
B. 1/4
Step-by-step explanation:
For independent events
P(A and B) = P(A) • P(B)
P(B) = P(A and B)/P(A)
P(B) = 1/8÷1/2
P(B) = (1/8)×2
P(B) = 2/8
P(B) = 1/4
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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What's X in the diagram??
========================================================
Explanation:
Angles EGD and BGF are vertical angles. Both are unknown and equal to x.
Notice how angle AGD is adjacent to angle CGD. These two angles form a straight angle (180 degrees) and angle CGD is a right angle. That must mean AGD is also a right angle.
Angles AGE and EGD must add to 90 degrees since AGD is 90
----------
(angleAGE)+(angleEGD) = (angle AGD)
(30) + (x) = 90
x = 90-30
x = 60
What value of x and y will make quadrilateral KLMN a parallelogram?
x + 3y
5y
2(x + y - 1)
H
11
and y =
20
Answer:
x = 6 , y = 4
Step-by-step explanation:
for the figure to be a parallelogram , the opposite sides must be congruent, that is
5y = 20 ( divide both sides by 5 )
y = 4
and
2(x + y - 1) = x + 3y ← distribute parenthesis on left side by 2
2x + 2y - 2 = x + 3y ← substitute y = 4
2x + 2(4) - 2 = x + 3(4)
2x + 8 - 2 = x + 12
2x + 6 = x + 12 ( subtract x from both sides )
x + 6 = 12 ( subtract 6 from both sides )
x = 6
find the value of x.
(6x+8)
(7x-7)
Answer:
ITS 95
Step-by-step explanation:
TRY CALCULATING IT
sorry i don't know
sbhwgwvhwhev
For the function N(t)=t2−8t−1, evaluate N(6).
The function N(t)=t2−8t−1, for evaluating N(6) will be -13.
A function is the rule which assigns a unique output value for each input value. The input values are typically called the domain of the function, and the output values are called the range of the function.
To evaluate means to find the value of an expression or a function at a particular point or set of points. This typically involves substituting given values for any variables in the expression or function and then simplifying or solving the resulting equation to obtain a numerical result.
To evaluate N(6), we substitute t = 6 into the expression for N(t);
N(6) = 6² - 8(6) - 1
Simplifying;
N(6) = 36 - 48 - 1
N(6) = -13
Therefore, N(6) = -13.
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I need help!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
y=f(x)
when x=3
f(3)=y=0
so A
A client at a weight loss clinic lost 18.5 pounds (lb) in 4 weeks. If he loses the same amount of weight each day, how much weight does he lose per day? (Round your answer to 3 decimal places)
Answer:
0.007 pounds a day
Step-by-step explanation:
if he loses 18.5 pounds in 4 weeks then each week has 7 days so you divide 18.5 by 7 four times. HOPE THIS HELPS :)
simplify theta(sin theta) ²/2tan theta
Step-by-step explanation:
When θ is very small, θ ≈ sin θ ≈ tan θ.
θ (sin θ)² / (2 tan θ)
θ³ / (2θ)
θ² / 2
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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three men and three women are waiting to be interviewed for a job if they are all selected in random order find the probability that all men will be interview first
The probability that all men will be interview first is 0.05.
What does probability means?Probability helps with finding out the likelihood of the occurrence of an event and measures chance of an event happening.
Given data:
Men = 3
Women = 3
Total people:
= 3 + 3
= 6
Probabilities of men:
P(first man) = 3/6 = 1/2
P(second man) = 2/5
P(third man) = 1/4
Required probability is:
P(first 3 men) = 1/2 * 2/5 * 1/4
P(first 3 men) = 0.05
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I need the answer to this question.
Solving a system of equations we will see that the two numbers are 15 and 9
How to find the two numbers?Let's define a and b as our numbers, we know that the sum is equal to 24 and that the second number is 6 less than the first one, then we can write the system of equations below:
a + b =24
b = a - 6
We can replace the second equation into the first one to get:
a + (a - 6) = 24
2a - 6 = 24
2a = 24 + 6
2a = 30
a = 30/2 = 15
And the value of b is:
b = a - 6 = 15 - 6 = 9
These are the two numbers.
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Una docena de bananos cuesta $2.650. ¿Cuántas docenas podría comprar una persona con $22.500?. ¿Cuánto obtendría de devueltas? (ojo, existe más de una solución)
Podras comprar un total de 8 docenas, y sobrara $1.30
¿Cuantas docenas se pueden comprar con $22.50?
Sabemos que una docena de bananos cuesta $2.65, y queremos ver cuantas docenas se peden comprar con $22.50, para ver esto, debemos tomar el cociente entre la cantidad de dinero que tenemos y el precio de una docena.
Obtendremos:
$22.50/$2.65 = 8.49
Redondenado al proximo numero entero obtenemos 8, es decir, se pueden comprar 8 docenas.
La cantidad que sobra es:
$22.50 - 8*$2.65 = $1.30
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Which graph shows function f?
The graph of f(x) is the second one, so the correct option is B.
Which graph shows function f?Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.
You can see that the first domain of the function is:
x ≤ -4
So we must have a closed circle at x = -4, when the parabola ends.
The second domain is:
-4 < x < 1
So x here is not equal to -4 nor 1, so this part starts and ends with open circles.
finally, the linear part starts with a closed circle.
Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.
Then we can see that the correct option is the second graph.
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Which mathematical concepts were the result of the work of René Descartes? Check all that apply. theory of an Earth-centered universe formula for the slope of a line Pythagorean theorem for a right triangle problem solving by solving simpler parts first Cartesian plane for graphing trusting previous teachers for knowledge
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.
We have,
The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.
Now,
In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.
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complete question:
Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.
The function f and g are given by \(f(x)=x^2\) and \(g(x)=-^1_2 x+5\).
Let R be the region bounded by the x-axis and the graphs f and g as shown at the bottom. Also, I only need you to answer part b, I've already finished part a.
a) Describe how you would find the area of R.
\(R=18 \frac{2}{3}\)
b) The region R is the base of a solid. For each y, where
0 < y < 4, the cross-section of the solid taken perpendicular to the y-axis is a rectangle whose base lies in R and whose height is 3y. Explain how you would write an expression that gives the volume of the solid.
As you've pointed out, R is a different region that I originally thought. The area of R can be computed using either
\(\displaystyle \int_0^2 x^2 \, dx + \int_2^{10} -\frac x2 + 5 \, dx\)
or
\(\displaystyle \int_0^4 (10-2y)-\sqrt y \, dy\)
Either way, you've gotten the correct area for part (a).
For part (b), we can use part of the integral with respect to \(y\) above. The horizontal distance between the curves \(y=x^2\) and \(y=-\frac x2+5\) is obtained by first solving for \(x\),
\(y=x^2 \implies x=\sqrt y\)
\(y=-\dfrac x2+5 \implies x = 10-2y\)
so the length of each cross section is \(10-2y-\sqrt y\).
The height of each cross section is \(3y\).
Then the volume of the solid is
\(\displaystyle \int_0^4 3y \left(10-2y-\sqrt y\right) \, dy = \boxed{\int_0^4 -6y^2 + 30y - 3y^{3/2} \, dy}\)
The instructions don't say to evaluate, but if you're looking for practice the volume ends up being 368/5, or 73 3/5.