Answer:
[tex]y = 2x -4[/tex]
Step-by-step explanation:
[tex]y = -\frac{1}{2}x - 2\ \ \ \ \ \ (0, -4)[/tex]
To find the perpendicular equation of a line,
You need the product of their gradients to be -1
[tex]-\frac{1}{2} \times ? = -1[/tex]
Divide both sides by [tex]-\frac{1}{2}[/tex]
? = 2
The gradient of the perpendicular line is 2
Straight line formula is in the form [tex]y = mx + c[/tex]
[tex]y = 2x + c[/tex]
We're nearly there, we just need to find out c.
Luckily, we're given a point [tex](0, -4)[/tex]
[tex](x, y) = (0, -4)[/tex]
[tex]y = 2x + c[/tex]
[tex]-4 = 2(0) + c\\-4 = 0 + c\\c = -4[/tex]
We then end up with...
[tex]y = 2x -4[/tex]
A salesperson earns a commission of $480 for selling $4000 in merchandise find the commission rate write the answer as a percentage
Answer:
[tex] \large{ \boxed{12\%}}[/tex]
____________________________________
[tex] \large{ \tt{G \: I \: V \: E \: N}} : [/tex]
[tex] \longrightarrow{ \tt{}}[/tex] Commission received : $ 480
[tex] \longrightarrow[/tex] Selling price of merchandise : $ 4000
[tex] \large{ \tt{ To \: Find : }}[/tex]
[tex] \longrightarrow[/tex] Commission rate
Let the commission rate be x %[tex] \large{ \tt{SOLVING : }}[/tex]
[tex] \star \: \large{ \tt{x\% \: of \: 4000 = 480}}[/tex]
[tex] \longrightarrow \: { \tt{ \frac{x}{100} \times 4000 = 480 }}[/tex]
[tex] \longrightarrow{ \tt{40x = 480}}[/tex]
[tex] \longrightarrow{ \tt{x = \frac{480}{40} }}[/tex]
[tex] \longrightarrow{ \tt{x = 12\%}}[/tex]
Ya.yy!! We solved the question :D_______________________________
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Solve the equation n2 − 29 = 260 by using square roots.
A. n = ±17
b. n = ±19
c. no real solutions
d. n = ±18
Answer:
Option A, [tex]n =[/tex] ± [tex]17[/tex]
Step-by-step explanation:
Step 1: Add 29 to both sides
[tex]n^2 - 29 = 260[/tex]
[tex]n^2 - 29 + 29 = 260 + 29[/tex]
[tex]n^2 = 289[/tex]
Step 2: Square root both sides
[tex]\sqrt{n^2} = \sqrt{289}[/tex]
[tex]n =[/tex] ± [tex]17[/tex]
Answer: Option A, [tex]n =[/tex] ± [tex]17[/tex]
In the expression x2 + 4x2 + 16x2, x2, 4x2, and 16x2 are examples of _____
Answer:
345-345 x 234567890
Step-by-step explanation:
asi queda el doble
Use the picture attached.
How many lines of symmetry does the picture have?
A.
3
B.
0
C.
1
D.
2
Answer: the answer is choice b which is 0 .
Step-by-step explanation: Any irregular quadrilateral has zero lines of symmetry because the sides are not equal so they won't form equivalent sides . This shape or quadrilateral can't be divided to lines of symmetry as the sides won't be equal . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS .
Answer:
The Correct answer is B.0.
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need help on this one
8 plants because you count all the dots that are taller than 13 inches. All the X's represent how many plants are the specific height.
Hope it helps!
Given that 11x-3>=28x +10 State the least possibe value of x if a)x is an integer b)x us a prime number
Answer:
a, b) no solution
Step-by-step explanation:
The solution of your inequality on real numbers can be used to inform the solution for other domains.
__
11x -3 ≥ 28x +10
-13 ≥ 17x . . . . . . . . subtract (11x+10)
-13/17 ≥ x . . . . . divide by the coefficient of x
__
a)If x is an integer, there is no least possible value. x will approach negative infinity. (no solution)
__
b)There are no negative prime numbers, so there are no values of x that are prime. (no solution)
4+ 10(5-3) + 4 +62 is what
18
42
21
45
Answer:
18
Step-by-step explanation:
i k
Just todo the test so its tje ansiedad
What is the value of 2 ÷ (4 ÷ (6 ÷ (8 ÷ 10)))?
Answer:
1.66
---------
First find the value of 8 divided by 10 because they are in parentheses.
[tex]10/8 = 1.25[/tex]
Divide 6 by 1.25
[tex]6 / 0.8 = 4.8[/tex]
Then, divide by 4
[tex]4.8 / 4 = 1.2[/tex]
Finally, divide 2 by 1.2
[tex]2 / 1.2 = 1.66[/tex]
The answer should be 1.66 if you do the problem right to left(because of the order of operations).
your expenses total $5.600 per month. you charge$25 per hour and have contracts for steady work that total 45 hours per week for 52 weeks of the year. How much does this hourly rate cover your expenses?
Answer
58,432 money you have leftover or $8,700 still left to pay.
Step-by-step explanation:
After knowing the contracts for steady work is 45 hours per week I just divided it by the days she works a week, which is most likely 5 and got 9 hours a day, then did $25 * 9 to get the payment per day which is $225 then multiplied it by 5 for the days working in a week, then multiply it again by 52 to get $58,500 as your payment and if your expenses is $5.6 per month (5.6*12=67.2) then your payment cover all of it and you still have $58,432.8 remaining, but if the expenses are $5,600 a month (5,600*12=67,200) then you cover most of it but still have to pay $8,700
3) If the population of the United States increased to 420 million and the number of
representatives remained at 435, how many Americans, on average, would each
representative serve?
Answer:
About 965517 Americans.
Answer:
About 96,5517 people / representative
Step-by-step explanation:
420,000,000 / 435 = 96,5517.24 people per representative
consider a protein that has 120 amino acids. how many tries, on average, would it take to randomly select the 120 amino acids in the correct sequence? Use the given conversion factor from tries to seconds to find how long it would take to complete the average number of random tries calculated in the previous problem.
With the conversion factor from tries to seconds, the time taken to to complete the average number of random tries is 24 minutes.
How to calculate the number of tries?Your information is incomplete. Therefore, an overview will be given based on the values. Let's assume that the number of tries for 10 amino acids is 2 minutes.
Therefore, the duration for 120 amino acids will be:
= (120/10) × 2
= 12 × 2
= 24 minutes.
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The line plot shows the ages at which a group of musicians started to play an
instrument. Based on the data in the line plot, which statement is not true?
х
X X X
x x х х х
х х х х х х х
х х х х х х х х х
х х х х х х х х х
+ +
4 5 6 7 8 9 10 11 12
Age of musician
*I*
The range of the ages shown is 8 years.
Most of the musicians started to play at age 9 or older.
Answer:
Their are 34 musicians
Step-by-step explanation:
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When f(x) = 9x² - 5x + 3, evaluate f(-3)
f(− 3) =
Question Help: Video
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Answer:
Step-by-step explanation:
Remark
f(x) = 9x^2 - 5x + 3 is given. The notation means that wherever you see and x on the right, you replace it with the x in the brackes on the left. f(3) is a direction, not anything you have to adjust or manipulate.
Solution
f(-3) = 9*(-3^2) - 5*(-3) + 3 (-(3))^2 = -3 * -3 = 9 two minuses make a +
f(-3) = 9*(-3)(-3) + 15 + 3 -3 times an operation of minus equals a +
f(-3) = 9 * 9 + 15 + 3
f(-3) = 81 + 15 + 3
Answer: f(-3) = 99
Find the value of X in this shape
Apply Pythagorean theorem
P²=H²-B²x²=17²-14²x²=289-196x²=93x=√93Which of the following graphs is not a function ?
Solve the following equation for X: 6(4x+5)=3(X+8)+3 round to the nearest hundred
Cody wanted to play fetch with his dog. His dog had ten chew toys. Cody took six toys outside for his dog. Write a decimal to show what part of the toys is still inside.
Answer:
60% :)
Step-by-step explanation:
6/10 = 0.6 x 100 = 60% :D
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What is the slope of the line that passes
* through the points (8, -9) and (1, 3)?
Answer:
[tex]\boxed{\sf{-\dfrac{12}{7} }}[/tex]Step-by-step explanation:
Use the slope formula.
[tex]\underline{\text{SLOPE FORMULA:}}[/tex]
[tex]\longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
y2=3
y1=(-9)
x2=1
x1=8
Rewrite the problem down.
[tex]\sf{\dfrac{3-(-9)}{1-8}=\dfrac{3+9}{1-8}=\dfrac{12}{-7}=\boxed{\sf{-\dfrac{12}{7} }}[/tex]
Therefore, the slope is -12/7.I hope this helps, let me know if you have any questions.
Answer:
[tex]\boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]
Step-by-step explanation:
Slope formula:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Using the coordinates (8, -9) and (1, 3), we obtain the following:
First point = (x₁, y₁) = (8, 9) = x₁ = 8 y₁ = 9Second point = (x₂, y₂) = (1, 3) = x₂ = 1 y₂ = 3Substitute the coordinates of both the points in the slope formula to obtain the fraction that represents the slope.
[tex]\implies \text{Slope} = \dfrac{3 - (- 9)}{1 - 8}[/tex]
To obtain a specific fraction or whole number that represents the slope, we need to simplify the numerator and the denominator.
[tex]\implies \text{Slope} = \dfrac{3 + 9}{-7}[/tex]
[tex]\implies \text{Slope} = \dfrac{12}{-7}[/tex]
Use parenthesis and take out the "negative sign" from the denominator.
[tex]\implies \boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]
Meade gave 1/2 of a candy bar to Max and then ate 1/6 of the candy bar himself. What fraction of the candy bar is left?
There is ___ of the candy bar left.
Let's break this problem into a few steps:
First, Meade gave 1/2 of candy to Max⇒ Amount of Candybar: Candy - (1/2)Candy = (1/2)Candy
Second, Meade ate 2/5 of the candy⇒ Amount of Candy left:
Total amount of candy - (1/6) * Total amount of candy
= (1/2) Candy - (1/6) *(1/2)Candy
= (1 - 1/6) * (6/7) Candy
= 5/6 * 1/2 = 5/12 Candy
Thus there is 5/12 of the candy left.
An expression is shown.
re-
emer
30.25 -(-5.7) - 2.08
What is the value of the
expression?
Answer:
Step-by-step explanation:
-(-5.7) = 5.7
30.25 - (-5.7) - 2.08 = 30.25 + 5.7 -2.08
Now add 30.25 & 5.7
= 35.95 - 2.08
= 33.87
Write two expressions that could be
used to help you determine the new cost of
a $68 dinner after adding on a 18% tip.
Answer:$80.24
Step-by-step explanation:68*0.18(18%)
12.24
68+12.24=$80.24
How many whole numbers between -32 and 77
Answer:
77 whole numbers because anything below 0 does not count as a whole number.
Answer: 77
Step-by-step explanation:because - numbers arent whole
Suppose a ball is dropped from a height
of 6 meters and bounces to 90% of its
previous height after each bounce.
Using the formula h = 6(0.9)n, where n
represents the number of bounces and h
represents the maximum height of the
ball after the nth bounce, what is the
approximate maximum height of the
ball after the 12th bounce? (if necessary,
round to nearest tenth)
Answer:
1.7
Step-by-step explanation
You just do 6 x 0.9 to the twelfth power.
Two friends, Bob and Ben, each buy one ticket for a drawing. They can choose six numbers from a total of one hundred numbers (0 - 99) for their ticket. Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89. Who has a higher probability of winning the drawing?
Bob and Ben, both have equal probabilities of 6 % of winning.
What is probability?Given that Bob and Ben are two friends who buy one lottery ticket each. Each ticket contains six numbers from a total of one hundred numbers from 0 to 99.
Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89.
We are to select the friend who has a higher probability of winning.
Let, 'S' be the sample space for the experiment.
Then, S = {0, 1, 2, . . . , 98, 99} ⇒ n(S) = 100.
Let, B and F are the events that Bob win and Ben win respectively.
Then,
B = {1, 2, 3, 4, 5, 6} ⇒ n(B) = 6
and
F = {39, 45, 66, 72, 74, 89} ⇒ n(F) = 6.
Therefore, the probability of even t B is
[tex]P(B)=\dfrac{n(B)}{n(S)}=\dfrac{6}{100}=6\%[/tex]
and the probability of event F is
[tex]P(B)=\dfrac{n(F)}{n(S)}=\dfrac{6}{100}=6\%[/tex]
Since, both the events have equal probabilities, so there is an equal chance of winning of Bob and Ben.
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Answer:
See image
Step-by-step explanation:
Plato
What is the expanded form of 72 cubed?
[72x2]
{72x3}
[72x72]
{72x72x72}
Answer:
72 × 72 × 72
72³ is 72 cubed, the tiny 3 indicates that we multiply 72 by itself 3 times.
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Sketch a graph of the function
y =sin(x) + 2
Answer:
The parent sine graph [tex]y=sin(x)[/tex] has a range of -1 ≤ y ≤ 1
It crosses the x-axis x = 0° ± 180°n
The maximum points occur when x = 90° ± 360°n and y = 1
The minimum points occur when x = 270° ± 360°n and y = -1
The sketch the graph of function [tex]y=sin(x)+2[/tex] we simply move the graph of [tex]y=sin(x)[/tex] up 2 units.
So this means it will have a range of 1 ≤ y ≤ 3
It no longer crosses the x-axis.
The maximum points occur when x = 90° ± 360°n and y = 3
The minimum points occur when x = 270° ± 360°n and y = 1
Attached diagram
The parent function [tex]y=sin(x)[/tex] is shown in grey (dashed line)
The function [tex]y=sin(x)+2[/tex] is shown in red.
Please help me i have part one to this question I told you guys everything you need to know in my last question Ill show u my last question in comments and also 100 POINTS PLEASE HELP AND ILL BRAINLEST
Answer:
See below ~
Step-by-step explanation:
1. Vertically opposite angles are equal when two lines intersect.
m∠3 = m∠12. The sum of two interior angles is equal to the exterior angle forming a linear pair with the third angle.
m∠4 = 88° because 180 - (41 + 47) = 92 and 180 - 92 = 883. The sum of the interior angles of a triangle is 180°.
55° + 90° (right angle) + ∠ACB = 180°∠ACB = 180° - 145°∠ACB = 35°4. You can find the length of a hypotenuse using the Pythagorean Theorem.
EF = √3² + 2² = √13EF = 3.6 unitsSusan gave of a pizza to her brother, Joe. Then, she gave of what was left to her mother, and ate the rest herself. What percent of the pizza did Susan eat?
A.
6.25%
B.
5.625%
C.
93.75%
D.
56.25%
Your answer is A. 6.25%
An avid golfer goes to the driving range to practice with her favorite golf club. In a random sample of 33 swings, she hits the ball, on average, 185 yards with a standard deviation of 16.7 yards. Which of the following correctly interprets the 99% confidence interval for the true mean number of yards she hits the ball with this club?
99% of all balls she hits with this club will lie between the values in the interval.
In repeated sampling, 99% of the time the true mean number of yards the ball is hit with this club is 185.
This golfer can be 99% confident that the constructed interval captures the true mean number of yards a ball will travel when hit with this club.
In repeated sampling, 99% of the time the true mean number of yards the ball will travel when she hits with this club will be captured in the constructed interval.
Answer:
99% of all balls she hits with this club will lie between the values in the interval.
Step-by-step explanation:
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Help Please!!!!
What is the distance from the hazard buoy P to the southern landmark L2? Use this formula: d^2=(DL2)^2+(PD)^2 , where d is the distance from P to L2, DL2 is the distance from D to L2, and PD is the distance from P to D. Round to the nearest foot. (5 points)
DL2 = 600ft
PD = 700ft
Answer:
922 ftStep-by-step explanation:
[tex]d^{2}=PD^{2}+D_{2}L^{2}\\\ \ \ \ \\ =\ 600^{2}+700L^{2}\\\ \ \ \ \\ =\ 850000\\\\\text \\then\\d = \sqrt{850000} =921.954445729289\\\\\text then\\d\ \approx922[/tex]