Answer: B = 1.9
Step-by-step explanation:
A=5
C=12
B=x
Pythagorean Theorem: 5^2 + x^2 = 12^2
25+x^2=144
x^2=119
\(\sqrt{19}\)≈10.9
i really need help please
Answer:
25
Step-by-step explanation:
Two lines intersecting at a right angle
A. Form a line
B.are parallel
C. are perpendicular
D. Form a ray
Answer:
420 69
Step-by-step explanation:
620 +90 = 42069
Answer: C. are perpendicular
Step-by-step explanation:
I took the test and got it right
If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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HELP PLEASE
write down a formula for the nth term of these patterns. The first term is n = 1.
14 ,23 ,32 ,41, 50 = nth term = ?????????
-4, -11, -18, -25, -32 = nth term = ???????????
Answer:
1st one= n9+5
2nd one=n×-7+3
point $o$ is the center of an ellipse with major axis $\overline{ab}$ and minor axis $\overline{cd}.$ point $f$ is one focus of the ellipse. if $of
Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.
In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:
$$PF + PF' = 2a,$$
where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:
$$9 + 12 = 2a,$$
$$21 = 2a.$$
Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$
The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:
$$c = \sqrt{a^2 - b^2}.$$
We can solve for $b$ using the distance to one focus:
$$c = \sqrt{a^2 - b^2},$$
$$c^2 = a^2 - b^2,$$
$$b^2 = a^2 - c^2,$$
$$b = \sqrt{a^2 - c^2}.$$
Substituting the known values:
$$b = \sqrt{10.5^2 - 9^2},$$
$$b = \sqrt{110.25 - 81},$$
$$b = \sqrt{29.25},$$
$$b \approx 5.408.$$
Therefore, the semi-minor axis $b$ is approximately $5.408.$
Finally, we can determine the lengths of the major and minor axes:
The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$
The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$
Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.
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(01.02 MC)
A foreign exchange student from Denmark would like to buy gifts for her family. She finds a special deal, 7 t-shirts for $97.93, that she would like to purchas
her family. However, her family only consists of 5 people. If she wants to purchase 5 t-shirts for her family members at that special rate, what would be the cost c
these t-shirts in her currency of Krona? (Currency conversion rate is 1 U.S. Dollar = 8.6964 Krona)
O121.663 Krona
O 13.99 Krona
O608.313 Krona
O69.95 Krona
The cost c of these t-shirts in her currency of Krona is; C: 608.313 Krona
How to carry out conversion of currency?
We are told that;
A foreign exchange student wants to buy gifts for her family.
She gets a deal at;
7 shirts = $97.93
Now, she wants to buy 5 shirts for her family at that given deal. Thus;
Cost of 5 shirts in dollars = (97.93 * 5)/7 = $69.95
Now, the exchange rate of dollar to krona is given as;
1 U.S. Dollar = 8.6964 Krona
Thus; $69.95 = (69.95 * 8.6964)/1 = 608.313 Krona
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Evaluate: Question(2): Z+8-6(z-2a)+5z
Answer:
Z+12a−z+8+12−+8
Step-by-step explanation:
Z+8−6(z−2a)+5z
+8−6(−2)+5
Z+8−6(−2a+z)+5z
+8−6(−2+)+5
Z+8−6(−2a+z)+5z
+8−6(−2+)+5
Z+8+12a−z+8+12−
Answer:
Z + 8 + 12a − z
12a + 8
Step-by-step explanation:
5. Jessie has jogged 30 miles since starting her new exercise program
plans to continue jogging 6 miles every day for the next x days,
Which expression below represents the total amount of miles that she will
have jogged after x days?
A. *(30 + 6)
B. 6(x + 30)
C. 6x + 30
D. 6 + 30x
Answer:
C
Step-by-step explanation:
30 is the b in this equation which represents the number of miles she has already jogged. 6 represents the number of miles she jogs every day for x amount of days. x could be 5, in which case it would be represented as 6*5+30=60. But since we don't know what x is, it is just 6x+30.
How much is half of a full circle
Answer:
180 degrees? 360 degrees is a full circle
Step-by-step explanation:
X
-4
2
4
-2
Which equation describes the line graphed above?
O A.
Y =
-40 - 5
B.
y =
4.
O a.
y = -51 – 4
D
71 = -4
© 2021 Edmentum. All rights reserved.
Answer:
Option (B) y = -1/5x -4 and ( C) y = -5x +4
Step-by-step explanation:
From given graph we can clearly see that the line cuts at y axis at -4 since point will be (0,-4)
So, Only option (B) y = -1/5x -4 is satisfying the point
put y = -4 and x = 0
we get , - 4 = 0 - 4
so, -4 = - 4 point satisfied...
Check option (c) y = -5x -4
put (0,-4) since -4 = -4 point satisfied
your can easily satisfy the point and get your answer .
The equation of the line is y = (-1/5)x - 4. The correct option is B.
What is a slope?In mathematics, a line's slope, or gradient, is a numerical representation of its steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given information:
The equation's graph passes through the two points (0, -4) and (5, -5).
To find the equation of the line passing through two points (0, -4) and (5, -5), we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is one of the given points.
First, we can find the slope of the line by using the two points:
m = (y2 - y1) / (x2 - x1)
= (-5 - (-4)) / (5 - 0)
= -1/5
Now we can choose either of the two points to substitute in the equation:
y - (-4) = (-1/5)(x - 0)
Simplifying, we get:
y + 4 = (-1/5)x
Subtracting 4 from both sides, we get:
y = (-1/5)x - 4
Therefore, the equation of the line is y = (-1/5)x - 4.
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i neeed help asap ill make u brillint
Answer:
Slope: 1/2
Point: (3, 5)
What is the confidence level when the level of significance is 0. 07?.
When the level of significance is 0.07, the corresponding confidence level is 93%.
The level of significance (α) in statistical hypothesis testing represents the probability of rejecting the null hypothesis when it is actually true. In contrast, the confidence level represents the degree of certainty or reliability we have in the estimated results from a statistical analysis.
The confidence level is calculated as the complement of the level of significance, subtracted from 1. In this case, if the level of significance is 0.07, we subtract it from 1 to find the confidence level:
Confidence level = 1 - level of significance
Confidence level = 1 - 0.07
Confidence level = 0.93 or 93%
Therefore, when the level of significance is 0.07, the corresponding confidence level is 93%. This means that we can be 93% confident that the estimated results from a statistical analysis will fall within the desired range, while allowing for a 7% chance of Type I error (rejecting the null hypothesis when it is true).
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A portfolio is 70% invested in an index fund and 30% in a risk-free asset. The index fund has a standard deviation of returns of 15%. Calculate the standard deviation for the total portfolio returns.
The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.
The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.
To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:
Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance between index fund and risk-free asset)]
Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:
Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund
Plugging in the values, we get:
Standard deviation of portfolio returns = 0.70 * 15% = 10.5%
Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.
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What is the indefinite integral of 1/xlnx?
In integration the bindefinite integral of 1/xlnx is
ln(|u|)+C=ln(|lnx|)+C with the aid of using parts, we've discovered whilst the specified formula.
The vital of the 2 capabilities are taken, with the aid of using thinking about the left time period as first feature and 2nd time period as the second one feature.
This technique is referred to as Ilate rule.The vital of xlnx is same to (x2/2) lnx - x2/4 + C, wherein C is the mixing constant. We can compare this vital the usage of the technique of integration with the aid of using parts.
We have the vital:
\(∫1xlnxdx
Use substitution. Let u=lnx so that du=1xdx . Note that each of those are presently gift withinside the vital.
∫1xlnxdx=∫(1lnx)1xdx=∫1udu
This is a not unusualplace vital:
∫1udu=ln(|u|)+C
Since u=lnx :
ln(|u|)+C=ln(|lnx|)+C\)
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factoring reveals the blank or blank of the polynomial (algebra two)
Answer:
what
Step-by-step explanation:
??
2
Type the correct answer in each box.
The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.
The length of the rectangle is
inches, and its width is
inches.
Reset
Next
Answer:
L= 10 in
W= 7 in
Step-by-step explanation:
Given data
let the widht be x
W= x
L= x+3
P=34 in
We know that
P=2L+2W
34= 2(x+3)+ 2(x)
34= 2x+6+2x
collect like terms
34= 4x+6
34-6= 4x
28= 4x
divide both sides by 4
x= 28/4
x=7
Put x= 7 in
L= x+3
L= 7+3= 10
Hence the width is 7in the length is 10 in
Please help I will give brainliest.
Answer:
linear................
6.5= -3 +n
A. n=3.5
B. n=9.5
C. n= 19.5
D. n= -19.5
Answer:
B) 9.5
Step-by-step explanation:
6.5 = -3 + n (add 3 on both sides)
n = 9.5
Can someone help me?
Answer:
3 x 3 = 9
Step-by-step explanation:
Which one is the greatest:
11/20
0.12
56.2%
47/100
Answer:56.2%
Step-by-step explanation: ima turn them into decimals
11/20= 0.55
0.12
56.2%=0.562 47/100= 0.47
(A = students on lawn and B = students in a lab). Then, all participants indicate their likelihood of scheduling a campus visit on a 10-point scale. Which statistical analysis should she run? a) Paired samples t-test; b) correlation; c) cross-tab; b) ANOVA; d) independent samples t-test
All participants indicate their likelihood of scheduling a campus visit on a 10-point scale Paired samples t-test.
What is campus?
A college or university's campus is traditionally the area of land on which those institutions' buildings are located. Libraries, lecture halls, dorms, student centres, dining halls, and park-like settings are typically found on college campuses.
An academic or non-academic institution's buildings and grounds are collectively referred to as a campus in modern times. The Apple Campus and the are two examples. The word, which is derived from a Latin word for "field," was first used in 1774 to refer to the sizable field next to Nassau Hall of the College of New Jersey (currently Princeton University). Princeton and the small neighbouring town were separated by a field.
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Car A Car B Car C
500 miles on 33.4 gallons 43 miles on 2.5 gallons 100 miles on 5.5 gallons
Which car among the 3 had the best gas mileage?
Answer:
Car C with a gas mileage of 18.18 mpg
Step-by-step explanation:
Compute mileages by the formula: Miles Driven/Gas Consumed and choose the highest value
Car A: 500 / 33.4 = 14.97 mpg
Car B : 43 / 2.5 = 17.2 mpg
Car C: 100 / 5.5 = 18.18 mpg
How do you tell if a pair of equations are parallel perpendicular or neither?
Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.
Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.
Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.
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Plz help im very confused. Find Cos E.
Answer:
cos E =9/41
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos E = adjacent/ hypotenuse
Cos E = 18/82
cos E =9/41
Someone please answer! 8th grade math question.
Answer: there is 3 terms
Step-by-step explanation: each term is separated by a sybol (addition, substation, multiplication, etc).
The complex numbers $z_1$ and $z_2$ are such that $|z_1| = 5,$ $|z_2| = 13,$ and
\[13z_1 - 5z_2 = 27 - 99i.\]find $z_1 z_2.$
By applying knowledge on complex analysis, the complex numbers that satisfy the three conditions defined in the statement are z₁ = 4 - i 3 and z₂ = 5 + i 12.
How to determine two complex numbers based on their norms and a given operation
In this question we must derive two complex numbers such that the following conditions are fulfilled:
a² + b² = 5² (1)
c² + d² = 13² (2)
13 · (a + i b) - 5 · (c + i d) = 27 - i 99 (3)
If we assume that a, b, c, d are integers, then we can suppose that (a, b) = (4, -3) and (c, d) = (5, 12) and we check if these values satisfy (3):
13 · (4 - i 3) - 5 · (5 + i 12)
52 - i 39 - 25 - i 60
27 - i 99
By applying knowledge on complex analysis, the complex numbers that satisfy the three conditions defined in the statement are z₁ = 4 - i 3 and z₂ = 5 + i 12.
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Developers determine the specifics of how to build a system in the _____ phase.
a. analysis
b. design
c. implementation
d. testing
Developers determine the specifics of how to build a system in the design phase. b
The design phase and its importance:
Define Objectives:
The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.
The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:
During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.
This architectural design provides a high-level view of the system's organization.
Design System Components:
With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:
The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:
The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.
Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.
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Susan bought a pair of jeans for $20.95 and a shirt for $11.50. She paid with $40.00. How much was her change?
Answer:
$7.55
Step-by-step explanation:
First, add the prices to get the grand total.
$20.95 + $11.50 = $32.45
Now, subtract that from the total that was paid.
$40.00-$32.45 = $7.55
A straw is placed inside a rectangular box that is 6 inches by 4 inches by 7 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in the simplest radical form.
The length of the straw is √101 inches
How to find the length of the straw?The rectangular box has:
length (l) = 6 inches
breadth (b) = 4 inches
height (h) = 7 inches
The straw is said to fit into the box diagonally from the bottom.
So, the length of the straw is calculated as:
S= √(l² + b² + h²)
S = √(6² + 4² + 7²)
S = √101 inches
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Help I don’t understand the first part but understand the second
Answer:
Step-by-step explanation:
Complete the square
\(x^{2}\) + 2x - 13 = 0
\(x^{2}\) + 2x = 13
\(x^{2}\) + 2x + \(1^{2}\) = 13 +1 (take 1/2 of the b term , the 2 )
\(x^{2}\) + 2x + 1 = 14
(x +1)^2 = 14
Answer:
Complete the square:
x² + 2x - 13 = 0x² + 2x + 1 - 14 = 0(x + 1)² - 14 = 0(x + 1)² = 14x + 1 = ± √14x = -1 ± 3.74x = 2.74, x = -4.74