1+1=
Step-by-step explanation:
what are the free things
pls give me brainliest
What is the slope of the line in the graph?
Given the preimage and image,find the dilation scale factor.
Answer:
The dilation scale factor is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
The image is the dilated form of its preimage if and only if the following conditions are observed:
1) [tex]K' = \alpha_{1} \cdot K[/tex]
2) [tex]T' = \alpha_{2} \cdot T[/tex]
3) [tex]P' = \alpha_{3} \cdot P[/tex]
4) [tex]J' = \alpha_{4} \cdot J[/tex]
5) [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex]
If we know that [tex]K = (2, 0)[/tex], [tex]K' = (1, 0)[/tex], [tex]T = (3, 0)[/tex], [tex]T' = (1.5,0)[/tex], [tex]P = (1, 5)[/tex], [tex]P' = (0.5, 2.5)[/tex], [tex]J = (0, 3)[/tex] and [tex]J' = (0, 1.5)[/tex], then the coefficients are, respectively:
[tex]\alpha_{1} = \frac{1}{2}[/tex], [tex]\alpha_{2} = \frac{1}{2}[/tex], [tex]\alpha_{3} = \frac{1}{2}[/tex], [tex]\alpha_{4} = \frac{1}{2}[/tex]
As [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex], we conclude that the dilation scale factor applied in the preimage is equal to [tex]\frac{1}{2}[/tex].
The function f(x) = - (x + 5) * (x + 1) shown What is the range of the function ? 10 all real numbers loss than or equal to all roal numbers less than or equal to -3 all real numbers groater or equal to 4 numbors greater than or equal to -6
Given:
The function is:
[tex]f(x)=-(x+5)(x+1)[/tex]
To find:
The range of the function.
Solution:
We have,
[tex]f(x)=-(x+5)(x+1)[/tex]
It can be written as:
[tex]f(x)=-(x^2+x+5x+5)[/tex]
[tex]f(x)=-(x^2+6x+5)[/tex]
Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{6}{2}\right)^2=9[/tex].
[tex]f(x)=-(x^2+6x+9-9+5)[/tex]
[tex]f(x)=-(x^2+2(x)(3)+3^2-4)[/tex]
[tex]f(x)=-(x^2+2(x)(3)+3^2)+4[/tex]
[tex]f(x)=-(x+3)^2+4[/tex]
On comparing this equation with [tex]f(x)=a(x-h)^2+k[/tex], we get
[tex]a=-1[/tex], it means the graph of the function is a downward parabola and the vertex is the point of maxima.
[tex]h=-3[/tex]
[tex]k=4[/tex]
The vertex of the function is (-3,4). So, the value of the function cannot be greater than 4.
Therefore, the range of the function is all real numbers less than or equal to 4.
Note: All options are incorrect.
Solve for x.
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a random number generator is used to model the patters of animals in the wild. this type of study is called
Answer:
This type of study is called a simulation
Step-by-step explanation:
Which angles are supplementary to each other?
Angle 4 and Angle 2
Angle 5 and Angle 2
Angle 4 and Angle 3
Angle 2 and Angle 7
Answer:
The answer is Angle 4 and Angle 3.
Answer:
It's answer is angle 4 and angle 3
PLEASE HELP IT IS DUE IN TWO HOURS AND I CANT UNDERSTAND IT PLSSSSSS
10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number
11 is the mystery number
Answer:
The mystery number is 11
Step-by-step explanation:
→ Set up an equation
( 10 + 4 + 7 + x ) ÷ 4 = 8
→ Multiply both sides by 4
21 + x = 32
→ Minus 21 from both sides
x = 11
which of the following is equal to square root ^3 square root 2
Answer:
[tex]2^{\frac{1}{6} }[/tex]
Step-by-step explanation:
(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6
At Clark City Zoo, a zookeeper divides 6 bananas equally among
3 chimpanzees. What is the unit rate of bananas to chimpanzees
NEED ANSWER NOW PLZZ
Answer:
6÷3
=2
So each chimpanzee Will get 2 bananas
Every week, Judy goes to the supermarket and buys the following: $5$ carrots at $\$1$ each, $3$ bottles of milk at $\$3$ each, $2$ pineapples at $\$4$ each, $2$ bags of flour at $\$5$ each, and a giant $\$7$ container of ice cream. This week the store has a sale and pineapples are half price. Judy also has a coupon for $\$5$ off any order of $\$25$ or over. How much money does Judy spend on this shopping trip
Answer:
She spends $30 in total.
Step-by-step explanation:
Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:
Every week Judy buys:
5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.
3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.
2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.
2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.
1 giant container of ice cream, she spends $7 on it.
So the total money that she speends is:
$5 + $9 + $4 + $10 + $7 = $35
And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.
So she will spend a total of $35 - $5 = $30
She spends $30 in total.
154.1 ÷ 0.5 as a mixed number
Answer:
308.2
Step-by-step explanation:
= 308.2
Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
a. 51 b.102 c.112 d.258
David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car. Write a function that represents the value of David's car, V(t), after t years.
Answer:
V(t) = 14,000(0.89)^t
Step-by-step explanation:
Present value of the Dodge Challenger = $14,000
Present percentage value = 100%
Depreciation value = 11%
Number of years = t
Future value = V(t)
V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t
= 14,000(100% - 11%)^t
= 14,000(89%)^t
= 14,000(0.89)^t
V(t) = 14,000(0.89)^t
Find the missing length indicated
Answer:
x = 240
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = ( part of hypotenuse below it) × (whole hypotenuse)
x² = 144 × 400 = 57600 ( take the square root of both sides )
x = [tex]\sqrt{57600}[/tex] = 240
x = 240
Using Pythagoras' theorem on the 3 triangles of sides (as shown in the graphic - the 2 smaller inner triangles and the large main triangle) it can be shown that the height is the square root of the product of both segments of the baseline.
let's call the 2 segments p and q.
p+q = 400
p = 144
q = 400 - 144 = 256
so, as said before, height = sqrt(p×q) = sqrt(144×256) = 192
now the main Pythagoras with the smallest triangle to get x
x² = 192² + 144² = 36864 + 20736 = 57600
x = 240
now, FYI, why is that formula true ?
as we said, we called the segments of the long baseline p and q.
then we can the sides of the main triangle x and y.
and the height is simply h.
so, then we have for the main rectangular triangle
(p+q)² = x² + y²
and for the 2 smaller triangles
x² = p² + h²
y² = q² + h²
=>
p² +2pq + q² = p² + h² + q² + h²
2pq = 2h²
h² = pq
h = sqrt(pq)
and there you have it. just as simple as that.
Help anyone can help me do the question,I will mark brainlest.
Answer:
a) 30
b)600pi
Step-by-step explanation:
For the first questions, since the arc is 240°, the area of the sector and circumference will be 240/360 or 2/3 of the total of the circles'. Therefore 125.6 x 3/2 is the circumference, which is 188.4. When we divide this by 6.28, we get 30
Now, since the area is pi r^2 where we know that r=30, we get 900pi as the area of the whole thing, however since the sector is 2/3 of the whole circle, 2/3 x 900pi = 600pi
10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number
Answer:
11
Step-by-step explanation:
To calculate the mean you add all the numbers and divide by the number of numbers. There are 4 numbers in this set so we will divide by 4.
Let x be the unknown number,
(10+4+7+x)/4=8(mean)
To solve for x, we first mutliply both sides by 4.
To simplify the left side we can add 10+4+7 and get 21 where now our equation is 21+x=32. Subtract 21 on both sides and you will get 11 which is our answer.
Plug-in 11 and solve for the mean to verify where we do indeed get 8 as the mean.
Anyone help please I need it
Answer:
[tex]-10+i\sqrt{2}[/tex]
Step-by-step explanation:
One is given the following expression:
[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]
In order to simplify and solve this problem, one must keep the following points in mind: the square root function ([tex]\sqrt{}[/tex]) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ([tex]\sqrt{-1}=i[/tex]). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.
[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]
[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]
Take factors from out of under the radical:
[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]
[tex]2-7i\sqrt{2}-12+8i\sqrt{2}[/tex]
Simplify,
[tex]-10+i\sqrt{2}[/tex]
Find the length of side x in simplest radical form with a rational denominator.
459
4
95
Answer: 2 =
Submit Answer
HELP HELP HELP HELP PLSSSSSSS
Answer:
x= 2/2
Step-by-step explanation:
Jo bought a used car for $6000 and paid a 15% deposit. How much did he still have to pay?
Answer:
900 is the correct awnser
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
Problem 1 find m<TRS
Answer:
94º
Step-by-step explanation:
<TRS = 1/2(arc UJ + arc TS)
<TRS = 1/2(65 + 123)
<TRS = 1/2(188)
<TRS = 94º
Can someone help pls
The sum of three numbers is 78. The second number is 10 more than the first, and the third number is two times the second number.
1. Write an equation that will help you determine the 3 numbers.
2. Solve the equation showing all your steps.
3. Tell what the 3 numbers are.
Step-by-step explanation:
a+b+c=78
b=10+a
c=2b
then, we back the first
a+10+a+2b=78
2a+2b=78- 10
2a+2(10+a)=68
2a+2a=48
4a=48
a=12
b=22
c=44
Calculate the mean of the following list of numbers: 10, 12, 7, 9, 9, 11, 15, 9
PLEASE HELP!!!!
9
9.5
10.67
10.25
Find the domain for the rational function f(x)=x+1/x-2
Step-by-step explanation:
here's the answer to your question
7) The sum of the page numbers of two facing pages of a book is 85. What are the page numbers of two facing pages of the book. If the sum is not given, but the product is given to be 1806, how will you find the page numbers?
Answer:
42 and 43.
Step-by-step explanation:
This problem can be solved just by knowing the sum of the page numbers, as page numbers on the same face are always one digit apart. Thus we can take 85, subtract 1, divide by 2, and then get 42,42, and add 1 back to the second-page number.
To check our work we can multiply 42*43 to get 1806.
A watch seller gained 20% by selling a watch for rupees 1260. what was its cost price and if we add gain 30% at what price should have it sold
Answer:
1365 rupees
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is via the method of proportions. One can use a proportion to find the original price of the watch. Then one can find the price of the watch if the watch had a (30%) mark up, by using a proportion.
2. Find the original price
Remember, the general format of a proportion is the following:
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
The following information is given:
The watch sold for (1260) rupees which is (120%) of the original price. Remember, there was a (20%) gain, meaning that the seller recovered (120%) of the price, in essence, the price of the watch, plus (20%) extra, thus (120%). Substitute these values into the proportion and solve,
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
[tex]\frac{1260}{total}=\frac{120}{100}[/tex]
Simplify,
[tex]\frac{1260}{total}=\frac{120}{100}[/tex]
[tex]\frac{1260}{total}=\frac{6}{5}[/tex]
Cross product,
[tex]\frac{1260}{total}=\frac{6}{5}[/tex]
[tex](5)(1260)=(6)(total)[/tex]
Simplify,
[tex](5)(1260)=(6)(total)[/tex]
[tex]6300=6*total[/tex]
Inverse operations,
[tex]6300=6*total[/tex]
[tex]1050=total[/tex]
3. Find the price if the mark up is (30%)
Now, one knows the original price of the watch. Set up a proportion to find the price of the watch if there is a (30%) mark up. Use the same logic to set up this proportion as was used to set up the last one. The (percent) will be (130%) because the new price of the watch is (130%) of the original watch.
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
Substitute,
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
[tex]\frac{part}{1050}=\frac{130}{100}[/tex]
Simplify,
[tex]\frac{part}{1050}=\frac{130}{100}[/tex]
[tex]\frac{part}{1050}=\frac{13}{10}[/tex]
Cross products,
[tex]\frac{part}{1050}=\frac{13}{10}[/tex]
[tex](10)(part)=(13)(1050)[/tex]
Simplify,
[tex](10)(part)=(13)(1050)[/tex]
[tex]10*part=13650[/tex]
Inverse operations,
[tex]10*part=13650[/tex]
[tex]part=1365[/tex]
Thus, the price after the (30%) is (1365) rupees.
Krista invested money in the stock of a foreign company. Lately, the government of the country where the company is based introduced new tax laws and fiscal policies. What type of risk does Krista face as an investor?
Answer: legislative risk
Step-by-step explanation:
Legislative risk refers to a form of risk whereby there's likelihood of a business making a loss on an investment due to governmental action.
Legislative risk implies an amendment or an abolition of laws which has a direct impact on investments. Regarding the question, the introduction of the new tax laws and fiscal policies is a legislative risk.
Answer:
c
Step-by-step explanation:
