[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{21})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{42}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{42}-\stackrel{y1}{21}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{21}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{21}=\stackrel{m}{\cfrac{21}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-21=\cfrac{21}{2}x-21\implies y=\cfrac{21}{2}x[/tex]
A $35 item is marked down 25%. What is the new price?
Answer:
$26.25
Step-by-step explanation:
35*.25 is 8.75
35-8.75=$26.25
At what rate per cent per annum will $400 yield an interest of $78 in 1 1/2 years?
Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it! 23
Step-by-step explanation:
8. (3x-5) mZS = 0 MZR = Р T con A (117 Bux+5)* S
Answer:
95°, 110°
Step-by-step explanation:
Since we're dealing with a cyclic quadrilateral ,
m<T + m<R 180°
7y + 11y = 180°
18y = 180°
y = 10°
Also,
m<S + m<U = 180°
3x+5+3x-5= 180°
6x = 180°
x = 30°
m<S = 3x+5 = 3(30)+5
= 95°
m<R = 11y = 11(10)
= 110°
Given -
m∠R = (11y)°m∠S = (3x + 5)°m∠T = (7y)°m∠U = (3x - 5)°To find -
m∠Rm∠S(nullifying x and y)
Explanation -
As we know this is a cyclic quadrilateral and it's either pair of the opposite angles sum up to 180°.
Therefore,
m∠S + m∠U = 180° ---(1)
m∠R + m∠T = 180° ---(2)
Solution -
Substituting the values of the measure of angles in (1)
➜ m∠S + m∠U = 180°
➜ (3x + 5)° + (3x - 5)° = 180°
➜ 6x = 180°
➜ x = 180/6
➜ x = 30
Therefore, m∠S = (3x + 5)° = {3(30)+5}° = (90+5)°
m∠S = 95°
Substituting the values of the measure of angles in (2)
➜ m∠R + m∠T = 180°
➜ (11y)° + (7y)° = 180°
➜ 18y = 180°
➜ y = 180/18
➜ y = 10
Therefore, m∠R = (11y)° = (11×10)° = 110°
Which function’s graph is shown below?
I need help with 15.) 17.) and 19.) I have attached the answers I just need help with how to solve them
Answer:
Step-by-step explanation:
They are all solved kind of the same way. If the vertex of the angle is outside of the circle, subtract the intercepted arcs and divide by 2
for 15) one arc is marked but you can figure out the other arc because there are 360 degrees in a circle 360 - 102 = 258. So the two arcs are 102 degrees and 258 degrees.
some of the problems you can set up the equation and solve.
17) 63 = {(360-x) - x} /2 multiply by 2
126 = {(360-x) - x} combine like terms
126 = 360 - 2x subtract 360
-234 = -2x divide by -2
117 = x
? = 117 degrees
good luck
Which picture shows the inverse, f −1, of the function shown?
Domain: 8, 10, 12. Range: 6, 9, 3. 8 goes to 6; 10 goes to 9; 12 goes to 3.
CLEAR CHECK
Inverse of f. Domain: 8, 10, 12. Range: negative 6, negative 9, negative 3. 8 goes to negative 6; 10 goes to negative 9; 12 goes to negative 3.
Inverse of f. Domain: 6, 9, 3. Range: one-eighth, one-tenth, one-twelfth. 6 goes to one-eighth, 9 goes to one-tenth; 3 goes to one-twelfth.
Inverse of f. Domain: 8, 10, 12. Range: one-sixth, one-ninth, one-third. 8 goes to one-sixth; 10 goes to one-ninth; 12 goes to one-third.
Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.
Answer:
(d) Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.
Step-by-step explanation:
Apparently function f is defined by the ordered pairs (8, 6), (10, 9), (12, 3).
The inverse function will be defined by the ordered pairs with the input and output reversed:
(6, 8), (10, 9), (3, 12)
This seems to be described by the last answer choice.
6.4r−7−2.9r simplified is
Answer:
3.7r -7
Step-by-step explanation:
Basically you would subtract 6.4 and 2.9 because there is a negative sign and they have the same variable. Then you would put it (2.9r)first since it is in order and you can't combine 7 and 2.9r so you leave it like that.
Nikkita sold her old textbooks for $54 a piece. When she was done, she had $324, but she still had 8 textbooks left. How many textbooks did she start with?
Answer:
14 :D
Step-by-step explanation:
First we must divide!!
324/54 = 6
Now we add :)
6 + 8 = 14
Have an amazing day!!
Please rate and mark brainliest!!
Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
B x = 3, y= 3
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = 45°O = [tex]x[/tex]A = [tex]y[/tex]H = [tex]3\sqrt{2}[/tex][tex]\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}[/tex]
[tex]\implies x=3\sqrt{2}\sin(45^{\circ})[/tex]
[tex]\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]
[tex]\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]
[tex]\implies x=\dfrac{3 \cdot 2}{2}=3[/tex]
[tex]\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}[/tex]
[tex]\implies y=3\sqrt{2}\cos(45^{\circ})[/tex]
[tex]\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]
[tex]\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]
[tex]\implies y=\dfrac{3 \cdot 2}{2}=3[/tex]
The graph of a function is a transformation of the graph of its parent function in which the graph is
vertically stretched by a factor of 2;
shifted left 3 units; and
shifted up 2 units.
write an equation for the function.
Answer:
f(x) = 2(x+3)+2
Step-by-step explanation:
Our sense of smell is responsible for ___ of our overall chocolate tasting experience. Group of answer choices 10% 30% 50% 70%
Answer:
70%
Step-by-step explanation:
Our sense of smell is responsible for 70% of our overall chocolate tasting experience.
Measuring the height of a tree is usually more difficult than measuring the diameter of the tree. Therefore, many researchers use regression models to predict the height of a tree from its diameter measured at 4 feet 6 inches from the ground. The following computer output shows the results of a linear regression based on the heights, in feet, and the diameters, in inches, recorded from 31 felled trees.
Estimate Std Error t-value Pr(>|t|)
Intercept 62. 031 4. 383 14. 15 0. 0000
Diameter 1. 054 0. 322 0. 2028 3. 27
Required:
What is a 95 percent confidence interval for the slope of the population regression line?
Measuring the height of a tree is usually more difficult than measuring the diameter of the tree, confidence interval for the slope is mathematically given as
C=(0.396, 1.712)
What is a 95 percent confidence interval for the slope of the population regression line?Generally, the equation for the confidence interval is mathematically given as
[tex]C=\beta-tn-2, \alpha /2 (S.E)[/tex]
Where
[tex]\beta=1.054[/tex]
Therefore
C=(1.054-t29, 0.025*0.322)
C=(0.396, 1.712)
In conclusion, the 95 percent confidence interval is
C=(0.396, 1.712)
Read more about Confidence interval
https://brainly.com/question/17097944
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A shopkeeper bought 30 pens for 150 and sold 20 of them for 140. Find his profit or loss percentage
Answer:
Because the cost price of 30 pens = Rs. 150
So, the cost price of 1 pen = 150/30 =5
so, the cost price of 20 pens =
Rs. 5 x 20 = 100
Cp is Rs. 100
Sp is Rs. 140
So, profit = 140-100 = Rs. 40
Profit % = (Profit x 100)xCp
=(40 x 100)/100
= 4000/100
= 40% profit
Step-by-step explanation:
11. Write down three different whole numbers so that: • the median of the three numbers is 13, the range of the three numbers is 5.
Step-by-step explanation:
Let the numbers be a, b, c in ascending order.
Mean is 7, i.e. (a+b+c)/3 = 7 or a+b+c=21
Median(middle number) is 5, i.e. b=5
Range is 8, i.e. c-a=8 or c=8+a
Solving the above three equations simultaneously, we have
a+5+8+a=21
a=4, hence c=12
Therefore the three numbers are 4, 5 and 12
What is the length of side PQ in this figure?
Answer:
[tex]\sqrt{52[/tex]
Step-by-step explanation:
hope it helps! im not completely sure but its the best answer!
The rectangles below have the same perimeter.
AS BASICALLY IF I TELL U THE CORRECT ANSWER OF ORANGE RECTANGLE IS16ML2
Answer:
16 mi squared
Step-by-step explanation:
Gray perimeter :16 (5,5,3,3)
Orange perimeter :16 (4,4,4,4)
Area of Gray :15 (5x3)
Area of Orange :16(4x4)
A bus travels two different routes: the Green Route and the Blue Route.
•On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
• On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
What is the length of the Green Route in miles?
Answer:4.5
Step-by-step explanation: Check the file for my explanation
Amy works and is paid by the hour. Her sister Jo helps her work. As shown in the table identify the independent and dependent ( first gets some!)
Answer:
The dependent variable is Amy's pay
The independent variable is Jo's pay
Step-by-step explanation:
Depending on how much Amy gets paid, Jo gets 20% of it.
.divide the problem.
Answer:
[tex]x - 2x - 15 \: divided \: by \: x - 3[/tex]
according to the above x²-2x-15 divided by the number below x-3 first I cancel out the x[tex]x - 2x - 15 \: divided \: by \: - 3[/tex]the we solve the next x-5 divided by x²-9 then as usual rule out the x[tex] - 5 \: divided \: by \: x - 9[/tex]now we only have x-2x-15 divided by-3 divided by-5÷x-9 now our next step is to again single the equations out [tex]x - 2x - 15 \: divided \: by \: - 3 \: lets \: rue \\s \: rule \: out \: - 3 \: and \: 15 \: giving \: us \: x - 2x - 5[/tex]now the next -5 divided by x-9 here there's nothing to rule out therefore the sign "÷" is changed to "×" cancel out the -5 and therefore we have [tex]x - 2x = x - 9 \: as \: final \: answer[/tex]Please help me with this :)))))
If
Answer:
c) x = 20, angle COD = 70 °
Step-by-step explanation:
(x+50)° + 90° +20° = 180°
x + 160° = 180°
x = 180°- 160°
x = 20
Angle COD = (x+50)° = (20 +50)° = 70°
Hope this helps
4x + 9y - 9 = 0
y intercept =
solve the system of linear equations by graphing
x+y=18
y=x+12
Answer:
it equals =204 y=12
Keisha makes individual servings of nuts by dividing 4 1/2 cups of nuts into individualcup servingsHow many individual 3 8 . servings can Keisha make?Show work
Answer:
4 1/2 = 9/2
Dividing 9/2 by 3/8,
9/2 x 8/3 = 72/6 = 12
Therefore, Keisha made 12 individual servings.
What is 18.5% of 500?
9.25
92.5
925
0.925
Answer:
92.5
Step-by-step explanation:
[tex]\frac{18.5}{100} = \frac{x}{500}[/tex]
cross multiply:
18.5 · 500 = 9250
100 · x = 100x
isolate x by dividing 100 from both sides:
x = 92.5
hope this helps!
Use the Fundamental Counting Principle to find the total number of possible outcomes.
Beverage
Size Small, Medium, Large
Flavor
Orange juice, Apple juice,
Lemonade, Milk
Answer:
There are 12 possible outcomes.
Step-by-step explanation:
For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.
Dennis drew the line of best fit on the scatter plot shown below:
What is the approximate equation of this line of best fit in slope-intercept form?
y = −15x + 2/3
y = -2/3 x + 15
y = −15x + 3/2
y = -3/2 x + 15
Answer:
4th option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line
m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]
the line crosses the y- axis at (0, 15 ) ⇒ c = 15
y = - [tex]\frac{3}{2}[/tex] x + 15 ← approximate equation of line of best fit
Calculate the sale price on a mobile phone with a marked price of $145, and a
discount of 53%
$68.15
P=Original price=145
D=Discount=53%
Sales=S
S=P-PD
S=145-(145×53%)
Ming was planning a trip to western smaoa be fore she was going she did some research and learned that the exchange rate is 6 tala for 2$ how many tala would she get if she exchanged 6$
Answer:
18 tala
Step-by-step explanation:
The exchange is proportional, so the number of tala Ming receives will be proportional to the number of dollars she exchanges.
x / ($6) = 6 tala / ($2)
__
Multiplying by $6, we have ...
x = (6 tala)($6/$2) = 18 tala
Ming would get 18 tala when exchanging $6.
Please help me and you will get the brainiest answer.
Answer:
the right answer is c(5) . because the last digit of the second number is 2 . every number that its last digit is 2 squared , the last digit of the result will always be 4 . also , in every number that its last digit is five , the result will also always be 5 . so if the last digit of the first number is 5 this equasion is correct (because the last digit of the answer is 9 )(5+4)
hope that helped
Please answer this I’m struggling rn :(
Answer:
The answer is on a picture⊙﹏⊙Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧