Answer:
See below.
Step-by-step explanation:
First,looking at the graph, we can pick out (any) two points we can use. I'm going to pick the points (-2,1) and (0,-1).
Use the slope-intercept form: [tex]y=mx+b[/tex]
We already know [tex]b[/tex] since (0,-1) is the y-intercept, so...
[tex]y=mx-1[/tex]
Now, find the slope:
[tex]m=\frac{\Delta y}{\Delta x} =\frac{1-(-1)}{-2-0} =\frac{2}{-2}=-1[/tex]
Thus, the entire equation is:
[tex]y=-x-1[/tex]
Classify the triangle by its angles. answers: A) Obtuse triangle B) Acute triangle C) Right triangle D) Equilateral triangle
Answer:
B) Acute triangle
Step-by-step explanation:
In acute triangles, all of the angles are less than 90°. This is true for this triangle :)
I hope this helps!!
Answer:
B) Acute triangle
Step-by-step explanation:
All the angles are less than 90 degrees so all the angles are acute
Find the ratio that is equivalent to 10:5. A. 15:5 B. 5:10 C. 2:1 D. 5:1
Answer:
C 2:1
Step-by-step explanation:
10 is double 5
and 2 is double 1
Answer:
C 2:1
Step-by-step explanation:
this is the answer
help me with right answer plz
Answer:
15.5
Step-by-step explanation:
CAH
cos=adj/hyp
cos60= x/31
0.5=x/31
x= 15.5
Can somebody help me with this. Do you add the 15 to the 2y or subtract it.
Answer:
4
Step-by-step explanation:
[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]
Hope this helps!
write down the size of angle ABC give a reason for your answer
Answer:
∠ ABC = 90°
Step-by-step explanation:
∠ ABC is the angle in a semi circle and is right, that is
∠ ABC = 90°
The angle of ABC is 90 degrees.
Using circle theorem,
The angle subtended by an arc at the centre is twice the angle subtended
at the circumference.
Therefore,
1 / 2 ∠O = ∠ABC
∠O = 180 (angle on a straight line)
Therefore,
∠ABC = 1 / 2 × 180
∠ABC = 180 / 2
∠ABC = 90°
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Given fx) = 10– 2x, find (7).
оооо
7
56
Answer:
Substitute the value of 7 into the variable x. Then solve the equation.
f(7) = 10 - 2(7)
f(7) = 10 - 14
f(7) = -4 is the answer.What is the factorization of the expression below?
16x^2 - 49
A. (8x + 7)(2x-7)
O B. (4x + 7)(4x - 7)
O C. (8x-7)(2x-7)
O D. (4x-7)(4x-7)
Answer:
B
Step-by-step explanation:
16 x² - 49 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
16x² - 49
= (4x)² - 7²
= (4x + 7)(4x - 7) → B
Answer:
B
Step-by-step explanation:
There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.
Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.
4x4 is 16. That's why you put fours in front of Xs.
I am sorry for getting this wrong (if i did)
The radius of a circle is 4 in. Find its area in terms of T.
x/11 = -12
please help!!!
Answer:
x= -132
Step-by-step explanation:
Answer:
[tex]x=-132[/tex]
Step-by-step explanation:
[tex]\frac{x}{11}=-12\\ \\x=-12*11\\\\x=-132[/tex]
help me i cant do it its too hard
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Step 1: Multiply 2 together
1/3(3/5) = 3/15
Step 2: Multiply again
3/15(9/4) = 27/40
Step 3: Simplify
(Divide both top/bottom by 2)
27/2 = 9
40/2 = 20
9/20
can someone please help me?? I don’t understand this
Answer:
see explanation
Step-by-step explanation:
It just means plug in the points into f(x)
-6 = -8
-1 = -3
1 = -1
6 = 4
Divide using long division.
62 - 11y+
+15) = (y - 4)
10 to the power of what is 0.1
Answer:
Brainleist!
Step-by-step explanation:
10^x = 0.1
x =log(0.1)
Decimal Form: x=−1
If anyone is great in math and can help me with this I would appreciate so much
Answer:
104.25
Step-by-step explanation:
11x19=206
206/2=104.5
Answer:
A
Step-by-step explanation:
The formula of area of a triangle is bh/2
Base=19
Hight=11
If you multiply them together you get 209 sq. units. Next, you must divide by 2.
209÷2=104.5
I hope this helped answer your question!
What is the slope of the line represented by the equation y = x - 3?
O-3
5
3
Help !!!!! What are the polar coordinates
[tex]\left(3,\,\frac{\big\pi}3\right)[/tex]
(W^3 Z^2)^2 simplify
Answer: w^6 z^4
Step-by-step explanation:
w^6z^4
w^3^2 z^2^2
w^6 z^4
Answer:
[tex]w^6z^4[/tex]
Step-by-step explanation:
[tex]\text{Apply rule: }(a*b)^n=a^nb^n\\\\(w^3z^2)^2=\left(w^3\right)^2\left(z^2\right)^2\\\\\text{Apply rule: }(a^n)^m=a^{nm}\\\\(w^3)^2=w^{3*2}=\boxed{w^6}\\\\w^6(z^2)^2\\\\(z^2)^2=z^{2*2}=z^4\\\\\boxed{w^6z^4}[/tex]
4x/5+ 2 =5x/13+ 5 pls answer
Answer:
x=0
Step-by-step explanation:
solve with cross multiplying
Answer:
7.2222...
Step-by-step explanation:
Well first, to make it easier, remove the fractions by multiplying both sides by the LCM (or 65 in this case).
Thus, we will have:
[tex]65(\frac{4x}{5}+2)=65(\frac{5x}{13}+5)[/tex]
[tex]65(\frac{4x}{5})+65(2)=65(\frac{5x}{13})+65(5)[/tex]
[tex]52x+130=25x+325[/tex]
Now, simply isolate the [tex]x[/tex].
[tex]52x=25x+195[/tex]
[tex]27x=195[/tex]
[tex]x=7.2222...[/tex] or [tex]\frac{65}{9}[/tex]
Eight car dealerships reported the number of cars they sold last month. Car Dealership Number of Cars Sold GMC 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72 What is the upper and lower quartile of this set of data? lower quartile: 80.5 upper quartile: 93 lower quartile: 88 upper quartile: 93 lower quartile: 80.5 upper quartile: 88 lower quartile: 72 upper quartile: 95
Answer:
lower quartile: 80.5 upper quartile: 93
Step-by-step explanation:
Fro the above question, we are given the following values for the number of cars 8 dealerships sold.
GMC = 84
Chevrolet = 81
Nissan = 92
Toyota = 92
Ford = 95
Honda = 94
Hyundai = 80
Acura = 72
We are told to find the lower and upper quartile of this set of data.
The lower quartile of a data set can be defined as the median( middle number) of the lower half of the data set. The lower quartile is also known or referred to as (Q1).
The lower quartile is also calculated using the formula
Q1 = 1/4(n + 1) th value
Where n is the number of values in the the date set.
The upper quartile of a data set can be defined as the median( middle number) of the upper half of the data set. The lower quartile is also known or referred to as (Q3).
The upper quartile is also calculated using the formula
Q3 = 3/4(n + 1) th value
Where n is the number of values in the the date set.
Step 1
Arrange the data set from the lowest to the highest number
72, 80, 81, 84, 92, 92, 94, 95
Step 2
Calculate the lower Quartile
Q1 = 1/4(n + 1)th value
n = number of values in the data set = 8 values
Q1 = 1/4(8 + 1)th value
Q1 = 1/4(9)th value
Q1 = 2.25th value
This means it is between the 2nd and 3rd value
2nd value = 80
3rd value = 81
(80 + 81) ÷ 2 = 161 ÷ 2 = 80.5
The Lower Quartile (Q1) = 80.5
Step 3
Calculate the lower Quartile
Q3 = 3/4(n + 1)th value
n = number of values in the data set = 8 values
Q3 = 3/4(8 + 1)th value
Q3 = 3/4(9)th value
Q3 = (27/4)th value
Q3 = 6.75th value
This means it is between the 6th and 7th value
6th value = 92
7th value = 94
(92 + 94) ÷ 2 = 186 ÷ 2 = 93
The Upper Quartile (Q3) = 93
Therefore, the Lower Quartile: 80.5 and Upper Quartile: 93
Answer:
A
Step-by-step explanation:
good luck on the test ,have a nice day :)
edg 2022
can anyone find the length of side x in simplest radical form with a rational denominator?
This is a 30-60-90 triangle. With this special template, the hypotenuse is always twice as long as the shorter leg. Put another way: the shorter leg is half as long as the hypotenuse. So the shorter leg is 4/2 = 2 units long.
The longer leg is equal to sqrt(3) times the short leg. The long leg is 2*sqrt(3) units long which is the final answer.
Choose the graph that correctly corresponds to the equation x = −4.
Answer:
Option D is true. ( graph of a vertical line through the point (negative 4,0)
Step-by-step explanation:
Find the explicit formula for an arithmetic sequence with a common
difference of 4 and whose first term is 1.
Answer:
Step-by-step explanation:
[tex]a_{n}=1+(n-1)(4)[/tex]
If Jordan travels about 45 miles per hour for 25 minutes, how far did she travel?
Answer:
18.75 miles
Step-by-step explanation:
45 miles per hour.
25 minutes is 5/12 of an hour.
45 × 5/12
= 18.75
Answer:
Distance = 11.25
Step-by-step explanation:
[tex]Distance = Speed*Time\\\\Speed = 45 -miles\\Time = 25 =\frac{25}{100} minutes=\frac{1}{4} \\Distance = ?\\\\Distance = 45 * \frac{1}{4} \\Distance = 11.25[/tex]
Need help with trig in pic
Answer:
A. cos α = – 3/5
B. Sin β = √3/2
Step-by-step explanation:
A. To find the exact value of cos α , we must obtain the Hypothenus for the triangle.
Please attach photo for explanation.
B. To find the value of sin β, we must determine the opposite in the triangle. Please see attached photo for further details.
Megan has 4 different skirts and 8 different blouses to choose from. How many outfits are possible if she chooses 1 skirt and 1 blouse?
Answer:
32
Step-by-step explanation:
4 times 8
The number of skirts and blouse to choose is an illustration of combination and permutation.
The number of outfits to she can choose from is 32
The given parameters are:
[tex]\mathbf{Skirts= 4}[/tex]
[tex]\mathbf{Blouses= 8}[/tex]
She can select any 1 of the 4 skirts, and any 1 of the 8 blouses.
So, the number of ways is:
[tex]\mathbf{Ways = 4 \times 8}[/tex]
Multiply
[tex]\mathbf{Ways = 32}[/tex]
Hence, the number of outfits to she can choose from is 32
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What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?
y=x+1
3x + 2y = 24
3x + 2y = 6
2x - 3y = 42
2x - 3y = -48
Help plsss
Answer:
[tex]3y + x = -6[/tex]
Step-by-step explanation:
Given
y = 3x + 1
Required
Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1
First, the slope of the line has to be calculated;
Th slope of a line is the coefficient of x in its linear equation;
This implies that the slope of y = 3x + 1 is 3
Having calculated the slope of the first line;
The relationship between both lines are perpendicularity; this implies that [tex]m_1 * m_2 = -1[/tex]
Where m_1 = 3 and m_2 is the slope of the secodnd line
[tex]m_1 * m_2 = -1[/tex] becomes
[tex]3 * m_2 = -1[/tex]
Divide both sides by 3
[tex]\frac{3 *m_2}{m_2} = \frac{-1}{3}[/tex]
[tex]m_2 = \frac{-1}{3}[/tex]
The equation of the line can be calculated using the folloing formula
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where [tex](x_1, y_1) = (12,-6)[/tex] and [tex]m_2 = \frac{-1}{3}[/tex]
The equation becomes
[tex]\frac{-1}{3} = \frac{y -- 6}{x - 12}[/tex]
[tex]\frac{-1}{3} = \frac{y + 6}{x - 12}[/tex]
Cross multiply
[tex]-(x - 12)= 3(y + 6)[/tex]
[tex]-x + 12=3y + 18[/tex]
Collect like terms
[tex]12 - 18 = 3y +x[/tex]
[tex]-6 = 3y + x[/tex]
[tex]3y + x = -6[/tex]
A restaurant bill is $25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total amount that will be paid? 25 dollars times 0.02 25 dollars times 0.20 25 dollars times 1.20 25 dollars times 2.00
Answer:
$25 x 0.20
Step-by-step explanation:
$25 × 0.20 = $5.00
$5.00 would be the 20% tip you would give for the $25 bill.
The total amount $30 will be paid.
And the expression is 25 + (25 x 0.2).
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A restaurant bill is $25,
and a 20 percent tip should be given to the waiter.
That means, the total amount,
= 25 + (25 x 0.2)
= 25 + 10
= $30
Therefore, 25 + (25 x 0.2) is the required expression.
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Find the value of x.
Answer:
64 degreesStep-by-step explanation:
Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles
Lets use the angle sum theorem and isosceles triangle definition
180=n+29+29
180=n+58
n+58=180
n=180-58
n=122
This angle is supplementary to one of the two congruent angles of the triangle that contains angle x
180=y+122
y+122=180
y=180-122
y=58
The triangle that has angle x is isosceles, thus we can use the following equation to find x
180=58+58+x
180=116+x
116+x=180
x+116=180
x=180-116
x=64 degrees
A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president. What is the binomial coefficient of this study? Write the answer as a number, like this: 42.
Answer:
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Step-by-step explanation:
Step(i):-
Given data the researcher has obtained data that states that 45% of citizens are in favor of the president
probability of success 'p' = 45% or 0.45
q = 1-0.45 = 0.55
Given random sample size 'n' = 8
Let 'X' be the random variable
let 'X' = 6
[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]
[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]
P( X=6) = 28 × 0.00830 ×0.3025
P( X=6) = 0.070
Conclusion:-
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Answer:
28
Step-by-step explanation:
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 greens?
Answer:
The answer would be just about 61% or 9/14
Step-by-step explanation:
So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.
The probability of getting 2 greens is 5/31
Probability is the likelihood or chance that an event will occur. It is expressed as:
Probability = Expected outcome/Total outcome
Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:
Total outcome = 4 + 3 + 5 = 12ballsIf green is picked at first, the probability of selecting a green is 5/12
If the second marble is picked and not replaced, the probabiity that it is green is 4/11 (4 greens remaining)The probability of getting 2 greens = 5/12 × 4/11
The probability of getting 2 greens = 20/132
The probability of getting 2 greens = 5/31
Hence the probability of getting 2 greens is 5/31
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