Answer:
j+k=468
j=52 + j
are the correct equations
Which is true about the legs of a 45 − 45 − 90 triangle?
A. The legs of a 45-45-90 triangle are congruent.
B. Now, a 45-45-90 triangle will be a right triangle because one of the angles is 90°.
C. Further, it will also be an isosceles triangle since the two angles are equal and the sides opposite to equal angles in a triangle are always equal.
D. Since it becomes an isosceles triangle, the two of its legs will definitely be equal, or congruent to each other.
A 45-45-90 triangle is a right and isosceles triangle, whose legs are congruent or equal, and have one right angle of 90°. Thus all the statements are correct.
A 45-45-90 triangle is a special kind of triangle, which has the following characteristics:
It’s isosceles with two congruent or equal sides and two congruent anglesIt has one right angle of 90° and two acute angles of 45°The length of the hypotenuse is √2 times the length of a leg. Thus the ratio of the length of sides is 1 : 1 : √2The attached picture gives a better understanding of these characteristics.
If we take a look at the given problem, we can conclude that all the given statements are correct.
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hello! please help me find the x & y intercepts, domain & range, relative minimum & maximum, increasing & decreasing intervals, and positive & negative intervals.. thank you :)
Solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain.
How do you find the domain and range of X and Y?We can easily identify the values of the independent variable x and the domain by solving the equation y = f(x). The range may then be found by solving for x.
For a relation, the domain and range are defined as sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively. For instance, if the relationship is R = (1, 2), (2, 2), (3, 3), and (4, 3), then
The collection of all x-coordinates with values 1, 2, 3, and 4 is known as the domain.Range is the set of all y-coordinates with values of 2, 3.
The elements that make up a function are its domain and range. A function's domain is the set of all potential input values, while its range is the range of possible output values. Range, Function, and Domain.
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Given the function y=|x+1|. State the domain over which the function is increasing.
3= blank +1/2+2/2+1/2
Answer:
3 = 1 + 1/2 + 2/2 + 1/2
The blank number is:
1
Step-by-step explanation:
2/2 = 1
1/2 + 1/2 = 2/2
3 = a + 1/2 + 2/2 + 1/2
3 = a + 1 + 1
3 = a + 2
3 - 2 = a
a = 1
One coin in a collection of 16 coins has two heads, the rest being fair coins with a head and a tail each. A coin is chosen at random from the collection and tossed four times, coming up with a head on each of the four tosses. What is the probability that the chosen coin is the two-headed one?
my work:
bayes' theorem. Bayes' theorem states that:
P(A|B) = P(B|A) * P(A) / P(B)
where A is the event that the chosen coin is the two-headed one, B is the event that the coin comes up heads on all four tosses, P(A|B) is the probability of A given B, P(B|A) is the probability of B given A, P(A) is the prior probability of A, and P(B) is the total probability of B.
in this case, P(A) is the probability that the chosen coin is the two-headed one out of the collection of 16 coins, which is 1/16. P(B|A) is the probability that the two-headed coin comes up heads on all four tosses, which is 1. P(B) is the total probability that the coin comes up heads on all four tosses, which can be found by considering all possible coins:
P(B) = (1/16) * 1 + (15/16) * (1/2)^4
P(A|B) = P(B|A) * P(A) / P(B) = 1 * (1/16) / P(B)
so the probability that the chosen coin is the two-headed one given that it comes up heads on all four tosses is (1/16) / P(B)
is it 1/16
The probability that the chosen coin is the two-headed one will be 1/16.
How to calculate the probabilityIt should be noted that probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events.
In this situation, one coin in a collection of 16 coins has two heads, the rest being fair coins with a head and a tail each.
When a coin is chosen at random from the collection and tossed four times, coming up with a head on each of the four tosses, the probability that the chosen coin is the two-headed one will be:
= Number of two headed coins / Total coins
= 1/16
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Here are two spinners.
6
spinner a
spinner b
3
spinner a
2
2
4
6
the two arrows are spun and the score is obtained
ows are
ng the t by multiplying the two numbers.
a) complete the possibility space.
1
3
spinner b
3
12
e the pe
un
10
5
b) what is the probability of scoring a total of 6?
10
c) what is the probability of scoring a total greater than 10?
me probability of scoring a total of 7
The probability of scoring a total of 6 is 1/36 and the probability of scoring a total greater than 10 is 25/36.
a) The possibility space for two spinners is all the possible combinations of numbers that the two spinners can produce. The possibilities for spinner A are 1, 2, 3, 4, 5, and 6, and for spinner B are also 1, 2, 3, 4, 5, and 6. Therefore, the possibility space is 1x1, 1x2, 1x3, 1x4, 1x5, 1x6, 2x1, 2x2, 2x3, 2x4, 2x5, 2x6, 3x1, 3x2, 3x3, 3x4, 3x5, 3x6, 4x1, 4x2, 4x3, 4x4, 4x5, 4x6, 5x1, 5x2, 5x3, 5x4, 5x5, 5x6, and 6x1, 6x2, 6x3, 6x4, 6x5, 6x6.
b) The probability of scoring a total of 6 is 1/36, since there is only one possibility (3x2) that produces a score of 6.
c) The probability of scoring a total greater than 10 is 25/36, since there are 25 combinations of numbers (4x3, 4x4, 4x5, 4x6, 5x2, 5x3, 5x4, 5x5, 5x6, 6x1, 6x2, 6x3, 6x4, 6x5, 6x6) that produce a score greater than 10.
The possibility space for two spinners is all the possible combinations of numbers that the two spinners can produce, which is 1x1, 1x2, 1x3, 1x4, 1x5, 1x6, 2x1, 2x2, 2x3, 2x4, 2x5, 2x6, 3x1, 3x2, 3x3, 3x4, 3x5, 3x6, 4x1, 4x2, 4x3, 4x4, 4x5, 4x6, 5x1, 5x2, 5x3, 5x4, 5x5, 5x6, and 6x1, 6x2, 6x3, 6x4, 6x5, 6x6. The probability of scoring a total of 6 is 1/36 and the probability of scoring a total greater than 10 is 25/36.
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Eliud was running 125 miles per week. Now, he’s running 20% more miles per week.
b) How many miles is Eliud running per week? Write and solve an equation to determine how many miles Eliud is now running per week, r.
Answer:
125 miles per week
Step-by-step explanation:
He is running: 100 x (100 + 20)% = 100 x 120% = 100 x 6/5 = 125 miles
He is running 125 miles per week
=> r = 125 miles
What are two possible transformations that together could have been used to create the image of (mc022-1 ) ---> A' from A?
(<-- the graph (see picture))
A. a reflection across the x axis followed by a reflection across the y axis
B. a translation of 6 units down followed by a rotation of 90 degrees clockwise about the origin
C. a reflection across the y axis followed by a reflection across the x axis
D. a translation of 6 units down followed by a reflection across the y axis
The only option that represents the two possible transformations that together could have been used to create the image is; D. a translation of 6 units down followed by a reflection across the y axis
What transformation rule was used?In geometry, a transformation is defined as an operation that moves, flips, or changes a shape that is called the preimage in order to create a new shape that is called the image. Some of the types of transformations includes; Translation, Reflection, Dilation e.t.c
Let us analyze each of the options;
A. This is not correct because the transformation rule for a reflection over the x -axis is (x, y) → (x, −y) while the transformation rule for the reflection of point (x, y) across the y-axis is (-x, y). This will not correspond with the final transformation given.
B) This is not correct because it will not produce the complete match as the rotation given will not allow for proper mapping.
C) This is NOT correct just like is seen in option A above.
D) This is correct because after translation by 6 units downwards, when we reflect across the y-axis, it produces the final transformed image.
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Which is bigger feet or miles?
Answer:
1 mile is about 1.6 km
1 feet is 30cm.
Safe to say a mile is bigger.
Answer:
Miles are bigger than feet.
Step-by-step explanation:
In 1 mile, there are 5,280 feet. So miles would be 5,280 times bigger than feet.
I can't remember how to solve for inequalities or graph them, can someone help me? (This is a repost with a picture instead)
Answer:
see below
Step-by-step explanation:
1. -2/3x [tex]\geq[/tex] 7
first, we need to divide -2/3 from x and 7 to get x alone, we also need to flip the inequality sign since we are dividing by a negative
x [tex]\leq[/tex] 21/2
or x [tex]\leq[/tex] 10 1/2
2. 32 > 23 - x
first, rearrange the inequality
32 + x > 23
subtract 32 from both sides
x > -9
3. 2 (x + 6) < 10
divide both sides by 2
x + 6 < 5
subtract 6 from both sides
x < -1
4. 15 - 4x [tex]\leq[/tex] 3x - 6
rearrange the equation
-4x + 3x [tex]\leq[/tex] - 15 - 6
-7x [tex]\leq[/tex] - 21
multiply both sides by -1 and reverse the inequality sign
7x [tex]\geq[/tex] 21
divide both by 7
x [tex]\geq[/tex] 3
im super sorry but im not sure how to help you with the graphing :(
at what point do the curves r1(t) = t, 2 − t, 35 + t2 and r2(s) = 7 − s, s − 5, s2 intersect?
The curves r1(t) = t, 2 − t, 35 + t2 and r2(s) = 7 − s, s − 5, s2 intersect at the point (2.5, -2.5).
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It is usually written with an equals sign (=) and expresses the relationships between different variables and constants. Equations are often used to model or describe physical, biological, and chemical phenomena and relationships.
This can be seen by solving the system of equations formed by equating the two curves:
t = 7 − s
2 − t = s − 5
35 + t2 = s2
Solving the first two equations for t and s yields t = 7 − s and s = 2 − t. Plugging these equations into the third equation yields:
35 + (7 − s)2 = s2
By rearranging terms and solving, this equation can be solved for s, which yields s = 2.5. Plugging this value back into the first two equations yields t = 7 − 2.5 = 4.5 and s = 2 − 4.5 = -2.5. Thus, the two curves intersect at the point (2.5, -2.5).
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In the first table of values, how does n differ from f(n)? in other words, what do n and f(n) mean?
N and f(n) is totally different by their own circumstances.
how does n differ from f(n)?N is independent variables
And f(n) is dependent variable
These are the main difference about n and f(n),You can typically depend on f(n) to represent the value of the function f at n. fn might mean f(n), especially when the domain is natural numbers, but it usually denotes the nth function in a sequence of functions.
F(a,b) would mean that the function takes two values, a and b. Your function takes one argument, n.
For example, f(n) might be the number of eggs in n packages, where each package has a dozen eggs. That would be f(n) = 12n, so f(3) = 12 * 3 = 36.
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Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio.
A(−7, — 5), B(-2, 0); 1 to 4
The coordinates of P are
Therefore , the solution of the given problem of ratio comes out to be the coordinate P = (7, 0.4).
A ratio is defined.A ratio as well as fraction in mathematics shows how frequently one value is present in another. For instance, if there are eight grapefruit and six lemons in a fruit plate, the ratio from oranges to citrus is eight to six, or 8:6, which is comparable to the ratios 4:3 or the decimal 1.333.
Here,
Ratios are a useful tool for segmenting lines into smaller units.
P's coordinate is P = (7, -0.4)
The criteria are as follows:
A = (8,0)\sB = (3,-2) (3,-2)
m: n=1:4
Using P = mx2+nx1 my2+ny
m+n
m+n, line ratio is computed.
The result is:
P 1x3+4x8 /1x-2+4x0 = 1+4 / 7
=> P = 35, 2
=>P = (7, -0.4) (7, -0.4)
1+4
P therefore has the coordinate P = (7, 0.4).
Therefore , the solution of the given problem of ratio comes out to be the coordinate P = (7, 0.4).
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Calculate the mean using the outlier and without the outlier Data Set 14, 16, 15, 48, 17 -5, -2, 38, -4, -6, -1 0.5, 0.8, -24.7, -0.4, 0.3 -16.7. 15.7, 13.9, 14.2, 16.4 -5.3, 13.4, -6.8. -6.1, -25.9 Mean With Outlier(s) Mean Without Outlier(s)
Therefore , the solution of scatter plot is construct this fence, we multiply the IQR by 1.5, subtract Q1 from this result, and add Q3 to the result.
What is the mean calculation formula?Taxes calculated in the manner above can be considered regular tax liabilities. tax calculated at 15% of book profit (plus any applicable surcharges and cess) (manner of computation of book profit is discussed in later part). The tax that is calculated by applying 15% (plus any applicable surcharge and cess) to book profit is known as MAT.
Here,
In bivariate data, a scatter plot is helpful for identifying outliers (data with two variables).
Because they will be separated from the majority of points on the scatter plot, the outliers are simple to identify.
We can compare each observation to the minimum and maximum fence posts as a result. Outliers are any observations that fall more than 1.5 IQR outside Q1 or rise more than 1.5 IQR outside Q3.
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paula is making hot apple cider using apple juice and cinnamon candy. her recipe calls for 0.5 cups of cinnamon candy for every 2 pints of apple juice. how many pints of apple juice does she need for 2 cups of cinnamon candy?
On solving the provided question, we can say that by unitary method 8 pints of apple juice does she need for 2 cups of cinnamon candy
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
Paula is brewing hot apple cider with cinnamon caramel and apple juice.
her recipe calls for = 0.5 cups of cinnamon
candy for every = 2 pints of apple juice
she need for 2 cups of cinnamon candy are -
for 1 = she need 2/0.5
for 2 = she needs 2/0.5 * 2 = 8
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plsssssshelppppppppppp
Answer:
1
Step-by-step explanation:
A map has a scale of 1 : 500.
Martha measures a distance of
5 cm on the map. What actual
distance in m does this
correspond to?
Answer: it is 0.05 m
Help me I really need to answer to this thanks
Answer:
Please provide a question to be answered, as you have only given us the piecewise function that would be used to solve a problem.
IF ANYONE KNOWS, IT WOULD BE A GREAT HELP, help
Determine the points on the x-axis whose distance from the point (5, 0) is 13 and Determine the points on the y-axis whose distance from the point (5, 0) is 13.
The points on the x-axis whose distance from the point (5, 0) is 13 units is given as follows:
(-8, 0) and (18,0).
The points on the y-axis whole distance from the point (5, 0) is 13 are given as follows:
(0, -12) and (0, 12).
How to obtain the distance between two points?The general coordinates of the two points are given as follows:
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]
Hence the distance between them is of:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A point on the x-axis has the coordinates given as follows:
(x,0).
For the distance of 13 units from point (5,0), the possible points are given as follows:
5 - 13 = -8, hence point (-8,0).5 + 13 = 18, hence point (18, 0).On the y-axis, the coordinates are given as follows:
(0,y).
Hence the possible values of y are obtained as follows:
[tex]13 = \sqrt{5^2 + y^2}[/tex]
Applying the square root to both sides, we have that:
25 + y² = 13²
y² = 144
y = -12 or y = 12.
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A bank loaned out $19,000, part of it at the rate of 7% per year and the rest at 17% per year. If the interest received in one year totaled $2000, how much was loaned at 7%
Answer:
$12300
Step-by-step explanation:
You want to know the amount loaned at 7% if $19000 loaned at 7% and 17% earns $2000 in one year.
InterestThe interest on an investment P at rate r for t years is ...
I = Prt
The sum of the amounts of interest on a 7% investment of x and a 17% investment of (19000 -x) is given as 2000:
0.07x +0.17(19000 -x) = 2000
-0.10x +3230 = 2000 . . . simplify
1230 = 0.10x . . . . . . . . . . add 0.10x -2000
12300 = x . . . . . . . . . . . . divide by 0.10
The amount loaned at 7% was $12,300.
Andrew drove 135 miles in 3 hours. If he drove at a constant rate, how far did he travel each hour?
Answer:
45 miles per hour is the answer. The unit rate (r) is calculated by dividing the number of miles (d) by the number of hours (t): r = d/t. We know that d equals 135 miles and t equals 3 hours. The unit rate is thus r = 135 miles/3 hours. r is equal to 135/3 miles per hour. r equals 45 miles per hour. 45 miles per hour is the unit rate. I hope this was helpful. Please let me know if you require any extra assistance!
Step-by-step explanation:
one of many librarians at a large city library is interested in how many books an average visitor checks out. she keeps a tally of how many books are checked out by each visitor who uses her check-out station in the children's section of the library. what type of sample is this?
This is a convenience sample as it is based on accessibility and availability of visitors.
What is average ?
The average, also known as the mean, is a measure of central tendency that is commonly used to summarize a set of numerical data. It is calculated by adding all of the values in a dataset and then dividing by the number of values in the dataset.
This is an example of a convenience sample ,
A convenience sample is a type of sample where the researcher selects participants based on accessibility and availability, rather than using a random selection method. In this case, the librarian is only collecting data on visitors who are checking out books at her specific check-out station in the children's section of the library, which is a subset of the total population of visitors to the library. The data may not be representative of the entire population of visitors to the library, as it only includes data from visitors who are checking out books in the children's section of the library.
This is a convenience sample as it is based on accessibility and availability of visitors.
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Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure
x1+4x2 =11
2x1+7x2=18
The equations ( x1+4x2 ) = 11 and ( 2x1+7x2 ) = 18 give the solution as x1 = -5 and x2 = 4.
In order to solve the equation using elementary row operation it is required to multiply the first equation with -2, so that the term with x1 is eliminated from both equations and the value of x2 can be found.
Now
-2. ( x1+4x2 ) = -2 . 11
(-2x1 - 8x2 ) = -22
Now, this equation is added to the second equation (the left-hand sides of both equations are added together and the right-hand side of the equations are added together).
(-2x1 - 8x2 ) + ( 2x1+7x2 ) = ( -22 + 18 )
-2x1 + 2x1 - 8x2 + 7x2 = -4
-x2 = -4
(x2 = 4)
The value of x2 = 4 is now put in equation 1 to get the value of x1,
( x1 + 4x2 ) = 11
x1+ 4 (4) = 11
x1 + 16 = 11
x1 = (11 - 16)
(x1 = - 5)
So solution is x1 = -5 and x2 = 4.
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find the curvature of r(t) = 7t, t2, t3 at the point (7, 1, 1).
Therefore ,as a result, the answer to the given circle problem is
√ 1996/(√ 62)3 =0.0915, which is the curvature.
A circle is what?A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric the about center at every angle. Every pair of endpoints in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally equal about the center at every angle.
Here,
Given: (7, 2t, 3t2) r'(t)
r''(t)= (0, 2, 6t) (0, 2, 6t)
r(t) x r(t) = (6t2, -42t, 14)
(36t4 + 1764t2 + 196) = sqrt (r'(t) x r"(t)
|r'(t)|= sqrt (49 + 4 T 2 + 9 T 4)
We know that t = 1 at (7,1,1), therefore sqrt (36 + 1764 + 196) = sqrt 1996 |r'(t)| = √ (49 + 4 + 9) = √ 62.
The curvature is then equal as√ 1996/(√ 62)3 =0.0915
Therefore ,as a result, the answer to the given circle problem is √ 1996/(√ 62)3 =0.0915, which is the curvature.
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Need help with this...
please answer my mock revision hw xx
Answer:
Step-by-step explanation:
AB = √36 = 6 cm
Area of semicircle πr²/2 or 9π/2
Area of 4 semicircles = 18 π
Total area = 36 + 18 π ≈ 92.5 cm²
Mr. Weinstein has a savings account with a balance of $19,211.34. It pays 4% interest compounded daily.
a. What is his ending balance after three years, if no other deposits or withdrawals are made?
b. How much interest does he earn over the three years?
assuming a year is 365 days
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$19211.34\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &3 \end{cases}[/tex]
[tex]A = 19211.34\left(1+\frac{0.04}{365}\right)^{365\cdot 3} \implies \stackrel{balance}{\boxed{A \approx 21660.58}}~\hfill \underset{interest}{\stackrel{21660.58~~ - ~~19211.34}{\boxed{\approx 2449.24}}}[/tex]
Find the slope of the graphed line please help asap I'll give brainliest answer pleasee
HELP FOR BRAINLIEST! I NEED IT ASAP
Answer:
$17.08
Step-by-step explanation:
Ok, so we know it takes 61-23 = 38 minutes of call to change the credit from $22.24 to $17.68.
Basically, it takes 43 minutes to lose 22.24 - 17.68 = $4.56
38 minutes - $4.56
5 minutes - $4.56 x 5 /38 = 0.6
I took 5 minutes because 5 + 61 = 66
Now, we know it takes 61 minutes for the person to have $17.68 remaining.
So, if we had 5 minutes, it becomes 17.68 - 0.6 = $17.08 remaining.
Pls mark as brainliest if possible. Cheers
Without using paper and pencil how would you find the sum of 9.8 and 2.6
Answer:
12.4
Step-by-step explanation:
