Answer:
6.5°
Step-by-step explanation:
We know that both XYZ and LMN are complementary angles.
Complementary angles add up to 90°.
So,
we can simply add both of the expressions and set it equal to 90 (degrees).
(3x+14) + (5x+24) = 90
-> add the variables and constants
8x+38=90
-> subtract the 38 from both sides (90-38)
8x=52
-> divide out the coefficient to isolate the variable
x=6.5
So, the answer is 6.5 degrees.
Hope this helped :)
What products are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.
The allocation for product defined and product not defined are
PD(product defined)
PM, QP, LMPND
MLThis is further explained below.
What is an allocation for product defined?Generally, the rule for matrix multiplication
no. of columns for the first matrix should be equal to no. of rows in the second matrix" that is if
1st matrix has =m * n
2nd has =k *l
Therefore
m=l
L=2*2, M=4*2,
The matrix is defined as the row and the column tally
M=4*2 and L=2*2
The matrix is not defined as a row and the column do not tally
In conclusion, Q=2*1, and P=2*2 equal so the product is defined.
P=2 *2,M=4 *2, equal so product is defined.
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jane had overdrafted her bank account and had a balance of -$24.62. She picked up her paycheck from work and deposited $154.88. What is her new balance?
answer for 100 points
What is an equation of the line that passes through the point (2,-3) and is parallel to the line 2x+5y=10
The equation of the line that passes through the point (2,-3) and is parallel to the line 2x + 5y = 10 is y = - 2 / 5 x - 11 / 5
How to find the equation of a line?The equation of a line can be represented in various form such as point slope form, slope intercept form and standard form.
Therefore, let's find the equation of the line that passes through the point (2, -3) and is parallel to the line 2x + 5y = 10.
Hence, parallel lines have the same slope.
5y = -2x + 10
y = - 2 / 5 x + 2
Therefore, the slope of the line is - 2 / 5.
Let's find the y-intercept using the slope intercept equation.
y = mx + b
where
m = slopeb = y-interceptHence, (2, -3)
-3 = - 2 / 5(2) + b
-3 = - 4 / 5 + b
b = - 3 + 4 /5
b = - 11 / 5
Therefore, the equation of the line is y = - 2 / 5 x - 11 / 5
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The required equation of the line y = - (2/5)x - 11/5 passes through the point (2,-3) and is parallel to the line 2x + 5y = 10.
We have to determine the line that passes through the point (2,-3) and is parallel to the line 2x+5y=10
Parallel lines are known to have the same slope.
Firstly, we have to find its slope by the given line
⇒ 5y = -2x + 10
⇒ y = - (2/5)x + 2
Thus, the slope of the line is - 2/5.
Let the required equation of the line is y - y₁ = m(x -x₁ )
Here x₁ = 3, y₁ = 1 and m = -2/5
y - 1 = (-2/5)(x - 3)
y - 1 = (-2/5)x + 3(-2/5)
y = - (2/5)x - 6/5 +1
y = - (2/5)x - 11/5
Therefore, the required equation of the line is y = - (2/5)x - 11/5.
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98
7. A bag contains 100 marbles. Some are red and the rest are blue. If there are no
more than 12 times as many red marbles as blue marbles in the bag, at most how
re in the bag? At least, how many blue marbles are in the
many red marbles are
bag?
At least 84 blue marbles and 7 red marbles are there in the bag.
Let the bag contain x red marbles therefore there are 12x blue marbles.
Therefore according to the question,
12x + x = 100
13x = 100
= 100/13
=7.69 approx
Which is not possible as the no,of marbles cannot be in decimals therefore there must be atleast 7 marbles of red colour and 84 blue marbles.
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What is the operation rule from number of ounces of flour to number of cupcakes?
Please use the graph above.
(A.) Multiply by 3
(B.) Multiple by 2
(C.) Add 8
(D.) 2
Answer: (B) Multiply by 2
Step-by-step explanation:
For every ounce of flour, 2 cupcakes can be made.
13 people on a softball team show up for a game. how many ways are there to choose 10 players to take the field? (you must provide an answer before moving to the next part.)
858 combinations are there to choose 10 players to take the field.
Pick 10 people from 13,
[tex]C^{13} _{10}[/tex] = [tex](^{13} _{2} )[/tex]
Splitting the combination,
[tex]C^{13} _{10}[/tex] = (13 × 12 × 11) ÷ 2
[tex]C^{13} _{10}[/tex] = 1716 ÷ 2
[tex]C^{13} _{10}[/tex] = 858 ways to pick the 10 to play.
There are 858 different methods to select 10 players to take the pitch.
The permutations of a set are the vaguely defined community of its members in arrangement or linear order, or the permutation of its components if the set is already collected. The act or procedure of adjusting the linear ordering of a sorted set is often named "permutation".
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Susie started a rock collection. she started with 26 rocks. each month she adds 5 to the collection. which equation can be used to find y, the total number of rocks in susie's collection after x months?
Answer:
26 + 5x = y
Step-by-step explanation:
hope this helped
have a good day ^^
use the properties of vector addition and scalar multiplication from the following theorem. properties of vector addition and scalar multiplication in rn let u, v, and w be vectors in rn, and let c and d be scalars.
The set R^2 with x ≤ 0 and y ≤ 0 is not a vector space.
The 10th axiom cv∈ V does not hold
Let u, v and w be vectors in the vector space V, and let c and d be scalars. A set S is defined as a vector space if it satisfies the following conditions:
1. u+ v ∈V
2. v + w = w + v
3. (u + v) + w = u + (v + w)
4. v + 0 = v = 0 + v
5. v + (−v) = 0
6. 1v = v
7. c(dv) = (cd)v
8. c(v + w) = cv + cw
9. (c + d)v = cv + dv
10. c v ∈V
Given the set of all vectors x, y in R^2 with x ≤ 0 and y ≤ 0
If the scalar c is such that c<0 then c v ∉R^2as cv>0
Therefore, the 10th axiom is not satisfied and thus the set R^2 with x ≤ 0 and y ≤ 0 is not a vector space.
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22 Which inequality is equivalent to 7x - 2y > 8?
Fy> / x+8
8
5 y> - ²/x + ²
Hy< ²x -
3
4
417
<-²/x-4/
32
Inequality which is equivalent to 7x - 2y > 8 x>[tex]\frac{2y}{7}[/tex] + [tex]\frac{8}{7}[/tex] and y <[tex]\frac{7x}{2} -4[/tex]
What is inequalities?Equations don't always need to have a "equal to" symbol on both sides to be balanced. Sometimes it can be about a "not equal to" relationship, meaning that something is superior to or inferior to another. In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.
7x - 2y>8
-2y > 8 -7x
=y <[tex]\frac{7x}{2} -4[/tex]
or
7x >2y + 8
=x>[tex]\frac{2y}{7}[/tex] + [tex]\frac{8}{7}[/tex]
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Can someone help me with this please?
The output of the linear function is -n+3 when the input is n.
What is a slope?The slope of a line can be used to calculate its steepness. The slope or gradient of a line is a number that indicates its direction and steepness.The slope is calculated by dividing the vertical change by the horizontal change between any two distinct points on a line. The ratio is sometimes written as a quotient, which produces the same number for every two distinct points on the same line.How to find the output of the linear function?A linear equation is given by ,
f(x) = mx+ c ---(1)
From the table,
x value increases by 1
y value decreases by 1
The function's slope, or the coefficient that converts an increase in x to an increase in y, is represented by the letter m.So, the coefficient slope(m) magnifies the decrease by 1Substituting slope m = - 1 in (1)
f(x) = -x+ c ---(2)
Substitute (1, 2) in (2)
2 = -1 +c
c = 2 + 1
c = 3
Substitute slope m and c in (2)
f( x ) = - x + 3
When input is n output is given by,
f(n) = - n + 3
The output of the linear function is -n+3 when the input is n.
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standard to slope intercept form
Answer: y = 1/6x + 1
Step-by-step explanation:
12y - 2x= 12
+2x +2x
12y = 12 + 2x
DIVIDE BOTH SIDES BY 12
y = 1 + 1/6x
THEN PUT IN SLOPE INTERCEPT FORM
y = 1/6x + 1
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 12y - 2x = 12[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 12y = 2x + 12[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{12} x + \frac{12}{12} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{1}{6} x + 1[/tex]
Slope = 1/6, y - intercept = 1
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
What will be the location of T′ in the image trapezoid S′T′U′V′? (10, −1) (10, 1) (13, 1) (13, −1)
By translating trapezoid S′T′U′V 7 using the same translation rule, the location of T′ in the image trapezoid S′T′U′V′ is: D. (13, -1)
The types of transformation.Generally, there are four (4) main types of transformation and these include the following:
ReflectionDilationRotationTranslationWhat is a translation?In Geometry, a translation can be defined as a type of transformation which moves every point of a geometric figure or object in the same direction, as well as for the same distance.
By critically observing the graph (see attachment), we can logically deduce that rectangle JKLM was transformed to rectangle J'K'L'M' by translating it 7 units to the right and 5 units up.
Next, we would apply the same translation rule to T' which is located at point (6, -6) as follows:
(x, y) → (x + 7, y + 5)
Point T (6, -6) → Point T' = (6 + 7, -6 + 5) = (13, -1)
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Complete Question:
Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
What will be the location of T′ in the image trapezoid S′T′U′V′? (10, −1) (10, 1) (13, 1) (13, −1)
Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2 ?
Answer: 35N
Step-by-step explanation:
Cross multiply and divide to find the missing value
Answer: 35N :)))))))))))))))))))))))))))))
please answer question 98 please!
thanks
can someone tell me if im right?
Travis rents an apartment in a historic, all-brick building downtown. The value of the belongings in the apartment is about $11,000. If Travis wishes to insure his belongings while renting, how much will he have to pay for insurance per year? Use the table above to solve.
I did:
it fell under 0.39 for building and 0.43 for contents so I did
0.39 x 12=4.68 then added the 100 dollar bonus and got $104.68
The amount of insurance that Travis will have to pay for the year is of:
$47.3.
What is the amount of insurance that Travis has to pay?He is renting the apartment, in which the belongings are worth $11,000, hence the insurance will be paid over that amount.
The number of hundredths in $11,000 is given by:
11000/100 = 110.
He pays an insurance of $0.43 for each $100 in belongings, hence the total insurance is of:
0.43 x 110 = $47.3.
There is no information regarding the value of the building, hence we are going to consider that he does not pay insurance for the building.
This insurance was taken from the table, as the apartment is in the city (downtown), and all brick, hence the coefficient is of 0.43.
Missing informationThe table with the rates is given by the image at the end of the answer.
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a hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. if the sample consists of 41 observations and the correlation coefficient is 0.60, what is the computed value of the test statistic? round to two decimal places.
The computed value of the test statistic is 4.65 or 4.7
Information given in the query:
significance level = 0.05
Sample size is 41 observations, and the correlation value is 0.60.
Now,
Using the formula, the test statistic to determine whether the population correlation is zero is provided.
:
t =[tex]r\sqrt{n-2} /\sqrt{1-r^{2} }[/tex]
on substituting the respective values, we get
test statics , t = 4.65
or
t=4.7
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HELLLP khan academy !! due tonight
Equation of the line is y = -(1/3)x+5
The figure shows a straight line of which two points and thereby the slope can be found out.
Equation of a line is in the slope-intercept form is,
y = mx +c,
where m is the slope of the line and c is the y-intercept of the line.
From the figure, two points on the line are, (0,5) and (3,4).
Then slope = (4-5)/(3-0)
= -1/3
Now y-intercept, c is the y-co-ordinate when x = 0.
From the figure, when x = 0, y = 5
So y-intercept, c = 5.
Thus the equation of the line is, y = -(1/3)x+5
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PLEASE HELP ME! QUICK!
The volume of the given triangular prism to the nearest tenth is; 171.5 in³
What is the Volume of the triangular prism?
The volume of a triangular prism of the kind given to us is expressed as;
Volume of a triangular prism = area of base triangle × length of the prism
Now, the formula for area of base triangle is;
Area = 1/2 * base * height
From the question, we have;
base = 9.8 in
height = 14 in
Now, the length of prism is 2.5 inches. Thus;
Volume of prism = (1/2 * 9.8 * 14) * 2.5
Volume of prism = 171.5 in³
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Evaluate. Write your answer as a whole number or as a simplified fraction.
Submit
Answer:
1 / 121
Step-by-step explanation:
4^0 / 11^2
= 1 / 11^2
= 1 / 121
What is the slope shown below?
Answer:
5/8
Step-by-step explanation:
Slope = rise/run
In this problem:
rise = 5
run = 8
Therefore, Slope = 5/8
Can you please help me with this question I don’t understand it.From DA to the angle BAC
INFORMATION:
We have the next rhombus
And we must find the measure of
Knowing that DB = 10, BC = 13, and m∠WAD = 25°
STEP BY STEP EXPLANATION:
To find all measures, we need to use properties or the rhombus:
- DA: To find DA we need to know that all sides of the rhombus are equal. So, if BC measures 13, then DA measures 13 too.
- BW: To find BW we need to know that in a rhombus, diagonals bisect each other at right angles. That means, diagonals intersect in the middle. So, if DB = 10, then BW will be half of BD. BW = 10/2 = 5.
- WC: We can find it as one of the legs of the right triangle formed by BW, BC and WC. Where, BC is the hypotenuse.
[tex]\begin{gathered} 13^2=5^2+WC^2 \\ WC=\sqrt{13^2-5^2} \\ WC=12 \end{gathered}[/tex]So, WC = 12.
- Angle BAC: To find this angle, we need to use that the interior triangles formed in the interior of the rhombus are congruent. So, angle BAC is congruent with the angle DAC. Then, BAC = 25°.
ANSWER:
DA = 13
BW = 5
WC = 12
BAC = 25 degrees
If log3 x + logx 3= 2.5 find the value of x
The value of x is -0.004624
[tex]log_{3} (x)+log_{x} (3)=2.5[/tex]
[tex]log_{3} (x)+\frac{log_{3} (3)}{log_{3} (x)} =2.5[/tex]
Let z= [tex]log_{3} (x)[/tex]
[tex]z+\frac{1}{z} = 2.5[/tex]
[tex]3z^{2} + z-2.5z=0[/tex]
z= -0.166
[tex]log_{3} (x)=-0.166[/tex]
x = -0.004624
What is a log?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a set number, base b, must be increased in order to create a specific number x, is represented by the logarithm of that number. The logarithm, in its most basic form, counts the number of times the same factor appears when multiplied repeatedly; for instance, since 1000 = 10 x 10 x 10 = 103, its "logarithm base 10" is 3, or log10 (1000) = 3. When there is no possibility of a mistake or when the base is irrelevant, as, in big O notation, the logarithm of x to base b is written as loga (x), logb x, or even without the explicit base, log x.
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Write an explicit formula for an, the nth term of the sequence
6, -12, 24,....
Answer:
6,12,24,48,96
Step-by-step explanation:
!!20 Points!! Solve using augmented matrices.
x+y=1
3x-y=7
Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x-3y=15
Answer: y=2x-5
Step-by-step explanation:
6x-3y=15
6x-6x-3y=-6x+15
-3y=-6x+15
-(3y=6x-15)
3y=6x-15
3y/3=(6x-15)/3
y=6x/3-15/3
y=2x-5
EFG and GFH are a linear pair, m EFG = 4n+ 15, and mGFH = 2n + 39. What are mEFG and mGFH?
mEFG=
mGFH=
Answer:
Find value of n first to find out what the angle measures are.
Linear angles have a sum of 180°.
Angle EFG + Angle GFH = 180
4n + 15 + 2n + 39 = 180
6n + 54 = 180
6n = 126
n = 21
Substitute n into the angles.
Angle EFG = 4(21) + 15 = 99°
Angle GFH = 2(21) + 39 = 81°
Cathy has 48m of fencing to make a rectangular pen for her pets. What is the
maximum area?
The area of the square will be 100 square meters. Then the dimensions of the pen of the rectangle will be 10 by 10 which is a square.
What is the area of the square?
Let a be the side length of the square.
Then the area of the square will be
Area of the square = a² square units
Cathy has 40 meters of fencing to build a rectangular pen for her pets.
For the maximum area of the rectangle, the length and width should be congruent.
40 = 4a
a = 10
Then the area of the square will be
A = 10²
A = 100 square meters
The dimensions of the pen of the rectangle will be 10 by 10 which is a square.
help on the ones you know
Answer:
2. y = x + 13
Step-by-step explanation:
Your points are: (-4, 9) and (2, 15)
To write an equation of a line from two ordered pairs, you first find the slope (m)
To find the slope, you do y2 - y1 / x2 - x1
(-4 is x1, 9 is y1) (2 is x2, 15 is y2)
Plug in the numbers:
15 - 9 / 2 - (-4) ----------------------> 6/6 ----------> 1, m = 1
The next equation we'll use is y - y1 = m(x - x1)
and slope intercept form is y = mx + b
Pick either ordered pair to plug in the coordinates, but this time I'll use
(2, 15) -----> 2 is x1, 15 is y1
y - 15 = m(x - 2)
Since we already know the slope, m, we can simplify the equation.
y - 15 = 1(x - 2)
Distributive property
y - 15 = x - 2
Add 15 on both sides,
y = x + 13
a certain area of the eastern united states is, on average, hit by 6 hurricanes a year. find the prob- ability that in a given year that area will be hit by (a) fewer than 4 hurricanes; (b) anywhere from 6 to 8 hurricanes.
By applying probability method in a Poisson distribution, we find out that the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512 and the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.
It is given that -
On an average, Eastern United States is hit by 6 hurricanes in a year.
We have to find out -
(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes
(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes
This is a case of probability which relates to Poisson distribution that provides probability of any random event that occurs within a specific time interval.
Let us assume the number of hurricanes is represented by [tex]X[/tex]. The Poisson distribution can be represented as -
[tex]P(X) = \frac{(lambda)^{X}*e^{-lambda}}{X!}[/tex] -------(1)
Here, [tex]X\\[/tex] = 1,2,3,...
lambda = Average = 6 (in this question)
[tex]e[/tex] = 2.718
(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes
[tex]P(X < 4) = P(X=0) +P(X=1)+P(X=2)+P(X=3)\\= \frac{6^{0}*e^{-6}}{0!}+\frac{6^{1}*e^{-6}}{1!}+\frac{6^{2}*e^{-6}}{2!}+\frac{6^{3}*e^{-6}}{3!}\\=0.0025+0.0149+0.0446+0.0892\\=0.1512[/tex]
Thus, the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512.
(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes
[tex]P(6\leq X\leq 8)=P(X=6)+P(X=7)+P(X=8)\\=\frac{6^{6}*e^{-6} }{6!}+\frac{6^{7}*e^{-6} }{7!}+\frac{6^{8}*e^{-6} }{8!}\\=0.1606+0.1376+0.1033\\=0.4015[/tex]
Thus, the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.
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Please help!! I’ve been struggling
Explain how to solve this question by multiplying, dividing, adding, or subtracting both sides by 2
Answer:
x=16
Step-by-step explanation:
x/2 = 8
Multiply both sides by 2
x=16
:] Hope this helps
the answer would be x=16
you would multiply both sides by 2