5.What is the area of the triangle?Include the unit of measurein your answer.:::::
Answer: Area = 126 square inches
Explanation:
The formula for calculating the area of a triangle is expressed as
Area = 1/2 x base x height
From the information in the diagram,
base = 18
height = 14
Thus,
Area = 1/2 x 18 x 14
Area = 1/2 x 252 = 252/2
Area = 126 square inches
axis of symmetry to Y = -x2 – 2x + 2
A relative frequency table is made from data in a frequency table. Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes A, B, total. The second column is labeled C with entries 20%, 32%, 51%. The third column is labeled D with entries g, 16%, 49%. The fourth column is labeled total with entries 53%, 47%, 100%. What is the value of g in the relative frequency table? Round the answer to the nearest percent. 25% 33% 63% 68% Mark this and return
The value of 'g' in the relative frequency table described above is 33%
From the relative frequency table described, the value of 'g' can be obtained thus:
A = g, B = 16%, total = 49%.
A + B = g + 16% = 49%
To obtain g :
g + 16% = 49%
g = 49% -16% = 33%
Therefore, the value of 'g' in the relative frequency table would be 33%
Learn more on frequency tables :https://brainly.com/question/27820465
#SPJ1
sound travels at a rate of about 1.1*10^3 feet per second. Suppose a mining company detonates a bundle of dynamite at a distance of 625 feet from a canyon wall. At the time of a detonation the miners sit safely at a distance of 2,600 feet from the dynamite. How long after detonation will the miners hear the echo of the blast off the canyon wall? Round to the nearest tenth if necessary.
what in your opinion is the moral in the story ?
How far apart are southville and westfield if southville is 57 mi due south of portland and westfield is 76 mi due west of portland?.
The Answer is 95 miles using distance rule of maths.
What is distance in math?
As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.
So if we mark their position in x-y plane. one is not x line and another one is in y line.
So the coordinates of the points are (57,0) and (0,76)
The distance between them is √(y²+x²)
= √(57²+76²)
=√ (3249 + 5776)
= 95 miles
Hence the distance between them is 95 miles.
Learn more about distance , by the following link.
https://brainly.com/question/17273444
#SPJ4
. In a triangle, one angle is 5° more than the
measure of the second angle. The third
angle is 10° more than the measure of the
second angle. Find the measure of each
angle angle
The angles are 60°, 55°, and 65°.
Let the triangle be named ΔABC.Let the angle ∠A be "x".Then, the angle ∠B is equal to ∠A + 5°.The angle ∠B is equal to x + 5°.The angle ∠C is equal to ∠A + 10°.The angle ∠C is equal to x + 10°.The angle ∠C is equal to x + 10°.Using the angle sum property of a triangle, we know that the sum of all the angles in a triangle is equal to 180°.∠A + ∠B + ∠C = 180°(x) + (x + 5°) + (x + 10°) = 180°3x + 15° = 180°3x = 165°x = 55°The angle ∠A is equal to 55°.The angle ∠B is equal to 55° + 5° = 60°.The angle ∠C is equal to 55° + 10° = 65°.To learn more about angles, visit :
https://brainly.com/question/13954458
#SPJ9
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4
Answer:
Combined like terms- 9xy3−13y4+x3y+3x4−8x2y2
Simplified- 3x4+x3y−8x2y2+9xy3−13y4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
lol
Given f(x)= x 2
+1
10
find the absolute maximum on the interval [−1,2]. A. abs. max at (−1,5) B. abs. max at (−0.5,8) C. abs. max at (2,2) D. abs. max at (−1,5) and (1,5) E. None of these
\(Given `f(x) = (x²+1) / 10`\), find the absolute maximum on the interval `[-1, 2]`.
To find the absolute maximum on the interval `[-1, 2]`, follow the below steps: First, we have to find the critical points of the function `f(x)` in the interval `[-1, 2]`.
Here, `f(x)` is a continuous and differentiable function.
Hence, if the function has a critical point in the interval, it is either a local maximum or a local minimum.
The extreme value theorem tells us that the function will have an absolute maximum in the interval `[-1, 2]`.
Let's find the critical points:`f(x) = (x²+1) / 10`
Differentiating \(`f(x)` w.r.t `x`, we get:`f'(x) = (2x) / 10 = x / 5`\)
\(Now, to find the critical points, we have to equate `f'(x)` to zero:`x / 5 = 0`\)
Solving for `x`, we get:`x = 0`
\(Therefore, the critical point of the function `f(x)` in the interval `[-1, 2]` is `x = 0`.\)
Now, let's check the value of `f(x)` at the endpoints and the critical point of the interval\(`[-1, 2]`.`f(-1) = (-1²+1) / 10 = 0.2``f(2) = (2²+1) / 10 = 0.5``f(0) = (0²+1) / 10 = 0.1`\)
\(Therefore, we see that the maximum value of `f(x)` in the interval `[-1, 2]` is at `x = -1`.\)
Hence, the absolute maximum is at `(-1, 5)`.
Therefore, the correct option is: Option A. abs. max at (−1,5).
To know more about the word function visits :
https://brainly.com/question/21426493
#SPJ11
Suppose that shares of Walmart rose rapidly in price from $45 to $100 as a result of a doubling of corporate profits. Later, they fell to $60 at which point some investors will buy, figuring it must be a bargain (relative to the recent $100). Such investors are displaying which bias? a) Recency b) Anchoring c) Representativeness d) Confirmation Previous Page Next Page Page 3 of 6
The bias displayed by investors who consider the $60 price a bargain relative to the recent $100 price is: b) Anchoring
Anchoring bias refers to the tendency to rely heavily on the first piece of information encountered (the anchor) when making decisions or judgments. In this case, the initial anchor is the high price of $100, and investors are using that as a reference point to evaluate the $60 price as a bargain. They are "anchored" to the previous high price and are influenced by it when assessing the current value.
Anchoring bias is a cognitive bias that affects decision-making processes by giving disproportionate weight to the initial information or reference point. Once an anchor is established, subsequent judgments or decisions are made by adjusting away from that anchor, rather than starting from scratch or considering other relevant factors independently.
In the given scenario, the initial anchor is the high price of $100 per share for Walmart. When the price falls to $60 per share, some investors consider it a bargain relative to the previous high price. They are influenced by the anchor of $100 and perceive the $60 price as a significant discount or opportunity to buy.
To learn more about Anchoring
https://brainly.com/question/15087581
#SPJ11
A television screen measures 18" tali by 24" wide. All televisions are advertised by giving the approximate length of the diagonal of the screen. (For example: A 48" television means that the diagonal of the television measures 48".) How should the television in this example be advertised?
Answer:
30
Step-by-step explanation:
Given that:
Dimension of TV = 18 by 24
Length of its diagonal :
Using Pythagoras :
Hypotenus = √(opposite² + adjacent²)
Hypotenus = Length of diagonal
Length of diagonal = √(18^2) + (24^2)
Length of diagonal = √900
Length of diagonal = 30
*
Which expression means the same as the quotient of 10 and 5?
*please help*
Answer:
10 divided by 5
calculate the coefficient of variation for a sample of cereal boxes with a mean weight of 340 grams and a standard deviation of 5.2 grams.? 0.15% A
1.53% B
15.29% C
0.65% D
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.
In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.
CV = (Standard Deviation / Mean) * 100
CV = (5.2 / 340) * 100
CV ≈ 1.53%
Therefore, the correct answer is option B: 1.53%.
To know more about Mean visit-
brainly.com/question/26062194
#SPJ11
Please help me anyone
Answer:
Quelles caractéristiques ces mots ont-ils en commun ? Cliquez sur tout ce qui s'applique.
\(\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)
Step-by-step explanation:
For National High Five Day, Ronnie’s class decides that everyone in the class should exchange one high five with each other person in the class. If there are 20 people in Ronnie’s class, how many high fives will be exchanged?
To determine the number of high fives that will be exchanged, we need to find the total number of unique pairs of students in Ronnie's class Since there are 20 people in the class, each person .
To calculate the number of unique pairs, we can use the formula for combinations, which is nC2, where n is the number of people .So, for Ronnie's class with 20 people, the number of high fives exchanged is:20C2 = (20 * 19) / (2 * 1) = 190.Therefore, a total of 190 high fives will be exchanged in Ronnie's class on National High Five Day. we need to find the total number of unique pairs of students in Ronnie's class Since there are 20 people in the class, each person needs to give a high five to every other person, excluding themselves.
learn more about unique here:
https://brainly.com/question/29656818
#SPJ11
You rent an apartment that costs $1700 per month during the first year, but
the rent is set to go up $110 per year. What would be the monthly rent during
the 11th year of living in the apartment?
Answer:
it's 2910 an answer ?
Step-by-step explanation:
110×11 = 1210
Question:
You rent an apartment that costs $1700 per month during the first year, but the rent is set to go up $110 per year. What would be the monthly rent during the 11th year of living in the apartment?
Answer:
Arithmetic Sequence: d=110 or a11 = 2800
Step-by-step explanation:
Write out the first 3 terms:
a 1 = 1700 ←rent in 1st year
a 2 =1810←rent in 2nd year
a 3 =1920←rent in 3rd year
Arithmetic Sequence: d=110
Explicit Formula:
an=a 1+(n−1)d
a 11 =1700+(11−1)(110)1700+(11−1)(110)
a11=2800
The bill for Jacoby's breakfast at a Nashville restaurant is $9. He wants to leave a 20% tip. How much should the tip be?
Answer:
$1.80
Step-by-step explanation:
which of the following is the solution to the equation x^2-10x+16=0?
1.{2,8}
2.{-4,4}
3.{-16,10}
4. {-8,-2}
Answer:
1.{2,8}
Step-by-step explanation:
that's my answer
Answer :
1. { 2, 8 }
x² - 10x + 16 = 0
x² - 2x - 8x + 16 = 0
x ( x - 2 ) - 8 ( x - 2 ) = 0
( x - 2 ) ( x - 8 ) = 0
x - 2 = 0
x = 2
x - 8 = 0
x = 8
Therefore,
the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.
0.6x + 3 = 0.1x - 7 what value of x makes the question true
Answer:x=-20
Step-by-step explanation:
Which expression is NOT equivalent to 100 + 20? A. 2(50 + 10) B. 5(20 + 4) C. 10(10 +2) D. 10(10 + 3). best answer will be marked as brainliest
when placed on a hexagon, the closer the holland interest areas are to one another, the more similar are their of the following is important when gathering family background information?
When gathering family background information, it is important to consider several factors. Firstly, it is important to gather information about the family's cultural background, including any traditions, beliefs, or practices that may have been passed down from previous generations. This can help provide context for the family's experiences and may shed light on the values and priorities that are important to them.
Additionally, it is important to gather information about the family's history and ancestry, including any notable events or individuals that may have played a significant role in shaping the family's identity. This can help to provide a deeper understanding of the family's roots and may help to explain certain patterns or behaviors that are present within the family.
Finally, it is important to gather information about the family's current situation, including any challenges or struggles that they may be facing, as well as any strengths or resources that they may have to draw upon. This can help to identify areas of support or intervention that may be necessary to help the family thrive and succeed.
To know more about generations visit:-
https://brainly.com/question/30696739
#SPJ11
given a profit-maximizing level of output, Qm, the monopoly price is the price on the ______ curve that corresponds to Qm units of output
Given a profit-maximizing level of output, Qm, the monopoly price is the price on the demand curve that corresponds to Qm units of output
The monopoly price is the price on the demand curve that corresponds to the profit-maximizing level of output, Qm units of output. At the profit-maximizing level of output, the marginal revenue (MR) equals the marginal cost (MC). The price corresponding to the profit-maximizing level of output is found by looking at the demand curve at that level of output. The demand curve shows the relationship between the price and the quantity demanded by consumers. The price that corresponds to Qm units of output is the monopoly price.
Learn more about demand curve
brainly.com/question/7451501
#SPJ4
what is the probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles?
The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.
To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula
z = ( x- μ)/ σ
where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get
z = ( 42,000- 40,000)/ 3,000 = 0.67
Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.
thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.
Learn more about mean;
https://brainly.com/question/1136789
#SPJ4
The correct question is given below-
A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?
Find the radius of convergence, R, of the series. (-1)n(x- 6)n 3n 1 n=0 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) -1 points Find the radius of convergence, R, of the series. n=1 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
To find the radius of convergence, we can use the ratio test:
lim |(-1)^(n+1)(x-6)^(n+1) 3^(n+1) / ((n+1) x^n 3^n)|
= |(x-6)/3| lim |(-1)^n / (n+1)|
Since the limit of the absolute value of the ratio of consecutive terms is a constant, the series converges absolutely if |(x-6)/3| < 1, and diverges if |(x-6)/3| > 1. Therefore, the radius of convergence is R = 3.
To find the interval of convergence, we need to check the endpoints x = 3 and x = 9. When x = 3, the series becomes:
∑ (-1)^n (3-6)^n 3^n = ∑ (-3)^n 3^n
which is an alternating series that converges by the alternating series test. When x = 9, the series becomes:
∑ (-1)^n (9-6)^n 3^n = ∑ 3^n
which is a divergent geometric series. Therefore, the interval of convergence is [3, 9), since the series converges at x = 3 and diverges at x = 9.
To know more about radius of convergence, refer here:
https://brainly.com/question/28158009#
#SPJ11
Find the slope of the line graphed below.
Given:
The graph of a line.
To find:
The slope of the graphed line.
Solution:
From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(m=\dfrac{5-2}{2-(-2)}\)
\(m=\dfrac{3}{2+2}\)
\(m=\dfrac{3}{4}\)
Therefore, the slope of the given graphed line is \(m=\dfrac{3}{4}\).
van is opening a new pizza restaurant that will use a combination of workers and ovens to produce pizzas. van knows from experience that the total number of pizzas he can produce in an hour is given by the function q
The values of "L" for q1 are 12, 18, and 36.
The values of "L" for q2 are 25/3, 25/2, and 25.
The function "q1" is given below :
q1 = 5[(K)^(0.5)]*[(L)^(0.5)]
The value of "q1" is 30.
The values of "K" are 3, 2, and 1.
Put the values in the above equation of the function "q1" and get the respective values of "L".
The respective values of "L" are 12, 18, and 36.
The function "q2" is given below :
q2 = 6[(K)^(0.5)]*[(L)^(0.5)]
The value of "q2" is 30.
The values of "K" are 3, 2, and 1.
Put the values in the above equation of the function "q2" and get the respective values of "L".
The respective values of "L" are 25/3, 25/2, and 25.
Complete question: van is opening a new pizza restaurant that will use a combination of workers and ovens to produce pizzas. van knows from experience that the total number of pizzas he can produce in an hour is given by the function q1 = 5[(K)^(0.5)]*[(L)^(0.5)] find the value of K and L.
Learn more about functions here:
https://brainly.com/question/12431044
#SPJ4
please help me. I would like an answer for this.
Answer:
Step-by-step explanation:
so cross divide so 5 and 2
Answer: it equals as a fraction 41/5 as a decimal equals 8.2
Step-by-step explanation: hope I helped you . Please give brainliest . Thanks .
Someone please help me! I really need help with this!!!
Answer:
y-8=2(x-9)
Step-by-step explanation:
m=y2-y1/x2-x1
10-8/10-9=2
y-y1=m(x-x1)
y-8=2(x-9)
Farmer Ed has 3,000 meters of fencing. and wants to enclose a reclangular plot that borders on a river. If Famer Ed does nat fence the side along the river, What is the largest area that can be enclos
Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.
What is the largest area that can be enclosed?To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.
Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.
Learn more about area:
brainly.com/question/25292087
#SPJ11
Examine the following table, which represents some points on a line.
x 3 0 −3 −6 −9
y −3 −2 −1 0 1
What is the equation for the line in slope-intercept form?
y=−3x−2y is equal to negative 3 x minus 2, , ,
y=3x−2y is equal to 3 x minus 2, , ,
y=−13x−2y is equal to negative 1 third x minus 2, , ,
y=−13x−6y is equal to negative 1 third x minus 6, , ,
y=−3x−6
Answer:
(c) y = −1/3x −2
Step-by-step explanation:
We notice two things in the table.
y goes up by 1 when x goes down by 3.y = -2 when x = 0 (this is the y-intercept__
The slope of the line is ...
m = (change in y)/(change in x) = +1/-3 = -1/3
Then the slope-intercept equation is ...
y = mx +b . . . . . . slope m, y-intercept b
y = -1/3x -2
Answer is C
Step-by-step explanation:
math
Shirts are on sale at a price of $50 for 4. How many shirts can be purchased for $125?
Answer: 10 shirts
Step-by-step explanation: 50/4 = 125/x NEXT 25/2 = 125/x NEXT 25 = 250/x NEXT x = 250/25 FINALLY x = 10
//Give thanks(and or Brainliest) if helpful (≧▽≦)//