Answer:
The image is (-18,0)
Step-by-step explanation:
Here, we want to find the image of the given point after dilation by the given scale factor
Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;
(kx , ky)
Applying this in the given scenario, we have
(2(-9) , 2(0))
= (-18,0)
A teacher randomly selects students to write the date on the board each day. If there are 12 boys and 9 girls in the teacher’s class, what is the probability the teacher chooses a girl to write the date on the board?
1 over 12
1 ninth
3 sevenths
3 forth
Answer:
c wich is sevenths
Step-by-step explanation:
The probability the teacher that chooses a girl to write the date on the board is :
C) 3 sevenths.
"Probability"
Given:
Boys =12
Girls =9
Total number of students = 12 + 9 = 25.
So the probability of choosing a girl is = n(girl) / n(all students) = [tex]\frac{9}{25}[/tex]
This is close to 3 sevenths.
Learn more about probability:
https://brainly.com/question/25870256
Find the length of the missing side leave in simplest radical form
Answer:
choice 4) sq rt 69 ft
Step-by-step explanation:
13^2 - 10^2
169-100 = 69
sq rt 69
The equation shown has an unknown number.
Blank divided by 3/7 = 7/15
Enter a fraction that makes the equation true
Answer:
45/49
Step-by-step explanation:
1. Solve the following linear equation and state the value/s of x. Round to the
nearest tenth if necessary.
2(x - 5) + 4 = 2(x-3)
Answer:
No Solution
Step-by-step explanation:
2(x - 5) = 2(x - 3)
2x -10 = 2x -6 When we subtract 2x from both sides we are left with a false statement.
-10 [tex]\neq[/tex] -6
Thus, no solution.
Write an equation for expense (blue line)
I would really appreciate if someone helped me I'm not understanding this.
Answer: y = 0.0005x+1
This is the same as saying y = (1/2000)x + 1
===============================================================
Explanation:
The blue line goes through (0,1) and (2000,2)
The slope is
m = (y2-y1)/(x2-x1)
m = (2-1)/(2000-0)
m = 1/2000
This says that each time we move up 1, we move to the right 2000 units.
Think of it as slope = rise/run = 1/2000
The slope 1/2000 means that each time you make 2000 soccer balls, it will cost you $1000. Keep in mind that y is in thousands (eg: y = 1 means 1000). This further implies that the marginal cost is ($1000)/2000 = $0.50 = 50 cents. The marginal cost is the cost to make one extra unit.
The fraction 1/2000 converts to the decimal form 0.0005 after using a calculator. So m = 0.0005 is the decimal form of the slope.
The y intercept of the blue line is b = 1 as this is the location where the blue line crosses the vertical y axis. The y intercept represents the fixed costs needed to set up production, for example: buying the machinery needed is a fixed cost.
-------------------
Since m = 0.0005 and b = 1, we go from y = mx+b to y = 0.0005x+1
We could say y = (1/2000)x + 1, though I think it's probably easier to use a decimal in this case.
Mitra travelled 7.87km in bus and 1.5 km in autorickshaw to reach in her office.What is the total distance her residence from her office? *
Answer:
9.37 km
Step-by-step explanation:
Total distance = length travelled in the bus + length travelled in the autorickshaw
7.87 km + 1.5km = 9.37 km
What is 6x + 8y = 60 and 3x - 4y = -18
Hey guys I need ur help with math.
Please help
Yesterday 1/8 of the books were sold at the bookstore were science fiction books.which decimal is equivalent to this fraction of books sold.
Answer:
1/8 in decimal form is 0.125
Х
-3
3 so
Plz explain this its a fraction
Answer:
x = 9
Step-by-step explanation:
x−(3)(3=x+−9 )
Hiiioooo! Can someone please help me out with this question ❤️
Answer:
3.5
Step-by-step explanation:
:)
Which is the function
Answer:
I believe the correct answer would either be B or D.
Step-by-step explanation:
I'm not 100% certain but I have doe similar questions so I'm quite sure.
The diagram shows triangle ABC. Calculate the length of AC
Given:
In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.
To find:
The length of AC.
Solution:
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Using Law of Sines, we get
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]
[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]
[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]
[tex]C\approx 36.86^\circ[/tex]
Using angle sum property, we get
[tex]\angle A+\angle B+\angle C=180^\circ[/tex]
[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]
[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]
[tex] \angle B =62.14^\circ [/tex]
Now,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]
[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]
[tex]b\approx 12.08[/tex]
Therefore, the length of AC is 12.08 cm.
When does the arrow hit the ground?
From what height is the arrow shot?
Answer:
The arrow hits the ground after 2.25 seconds
the height the arrow is shot from is (0,18) or 18 units up
Step-by-step explanation:
PLS PLS PLS HELP ME THIS IS LATE
Step-by-step explanation:
a + 9 = 6
p + 20 = -30
Johnson wants to buy something for himself. He has a budget of $105 to spend on $25 t-shirts, $10 cd's, and $5 books. He wants to buy 10 items and wants to buy as many books as t-shirts and cd's combined. How many of each item should he buy?
Explain please!
Answer:
2 t-shirts, 3 cd's, 5 books.
Step-by-step explanation: Johnson wants to spend $105 in total, get 10 items total, and get at least 1 t-shirt, 1 cd, and 1 book. If he did not want to buy 10 items then he could buy 21 books, 10 cd's and 1 book, or 4 t-shirts and 1 book. But because of all the conditions Johnson should buy 2 t-shirts ($50), 3 cd's ($30), and 5 books ($25). $105 total, and as much of each item as possible.
for the table below, what is the range?
Answer:
second option
Step-by-step explanation:
mark me brainliest pls
Help me please what is 11/5 you can write it in numerical numbers lile this 1,2 or whole number fractions like this 1 1/2
Answer:
11/5 = 2 1/5
11/5 = 2.2
Step-by-step explanation:
Find the length side
Answer:
PR = 6.93 units
PQ = 13.86 units
Step-by-step explanation:
From ΔPQR,
m∠Q = 30°
QR = 12
By applying tangent rule for the given angle in the triangle,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(30°) = [tex]\frac{PR}{QR}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]
PR = [tex]\frac{12}{\sqrt{3} }[/tex]
PR = 4√3 ≈ 6.93
Now we apply cosine rule,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]
PQ = [tex]\frac{24}{\sqrt{3} }[/tex]
PQ = 8√3 ≈ 13.86
Find the measure of the missing angles.
38
90°
d
e
F
Answer:
d= 90 degrees
e= 27 degrees
f= 153 degrees
Step-by-step explanation:
yes
Adrian purchased a new car in 1990 for $24,900. The value of the car has
been depreciating exponentially at a constant rate. If the value of the car was
$13,500 in the year 1994, then what would be the predicted value of the car
in the year 1999, to the nearest dollar?
Answer:
Multiply it by 4 and divide it by 100. It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price. 14300
Step-by-step explanation:
PLEASE rate follow and thank
Answer: 6281
Step-by-step explanation:
The sum of two numbers is 376. The first number is 182
less than the second number. What are the two numbers?
Answer:
376-182=194
so 194 us the 1st
182 is the 2nd
(2/3) to the 3rd power] plus [(3/4) to the zero power]
Answer:
1-8/27
Step-by-step explanation:
[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]
[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)
[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]
We cannot simplify, so 1-8/27 is our answer.
Hope this helps. Have a nice day.
will mark brainlest if correct! pls help
Answer:
See below.
Step-by-step explanation:
[tex] y_2 = 4x^2 [/tex]
[tex] x = 1 [/tex]
[tex] y_2 = 4(1)^2 = 4 = a [/tex]
a = 4
[tex] y_3 = 4^x [/tex]
[tex] x = 1 [/tex]
[tex] y_3 = 4^1 = 4 = b [/tex]
b = 4
[tex] y_1 = 4x [/tex]
[tex] x = 2 [/tex]
[tex] y_1 = 4(2) = 8 = c [/tex]
c = 8
[tex] y_3 = 4^x [/tex]
[tex] x = 2 [/tex]
[tex] y_3 = 4^2 = 16 = d [/tex]
d = 16
[tex] y_1 = 4x [/tex]
[tex] x = 3 [/tex]
[tex] y_1 = 4(3) = 12 = e [/tex]
e = 12
[tex] y_2 = 4x^2 [/tex]
[tex] x = 3 [/tex]
[tex] y_2 = 4(3)^2 = 36 = f [/tex]
f = 36
[tex] y_3 = 4^x [/tex]
[tex] x = 3 [/tex]
[tex] y_3 = 4^3 = 64 = g [/tex]
g = 64
list the sides of the triangle in order from smallest to largest
Answer:
p,q,r
Step-by-step explanation:
what to numbers add to -7 and multiply to -12
Answer:
Not any whole numbers!
Step-by-step explanation:
I need help bad i don’t understand this so plz help
Answer:
B : y axis is parallel
x axis is perpendicular
4: (4,8) (4,10)
5: (4,25)
Step-by-step explanation:
Hope this helps, and if you can please mark me Brainiest.
Find the equation of the line between the points (10, – 5) and ( - 2,0).
Answer (assuming it can be in slope-intercept form):
[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]
Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].
2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:
[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]
what is another way to represent the expression- f + (0.50 x f)?
A) 1.5f
B) 150f
C) f + 1.5
D) f + 150
y times the square root of x
Answer:
When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together.
Step-by-step explanation:
its there