Answer:
A, C and E.
Step-by-step explanation:
[tex]70 \% \times 80[/tex]
[tex]70/100 \times 80[/tex]
[tex]560/10[/tex]
[tex]=56[/tex]
[tex]0.7 \times 80[/tex]
[tex]=56[/tex]
[tex]7/10 \times 80[/tex]
[tex]=56[/tex]
Rewrite the function by completing the square
F(x)=x^2+6x-78
F(x)=(x+?)^2+?
Answer:
F(x) = (x + 3)^2 -87
Step-by-step explanation:
Here, we want to rewrite the function by completing the square.
Firstly, we move the c term(-78) to the right hand side of the equation and that becomes
x^2 + 6x = 78
Then, we can complete the square on the right hand side here, to be
Let’s add 9 to both sides
That would be;
x^2 + 6x + 9 = 78 + 9
x^2 + 6x + 9 = 87
(x+3)^2 = 87
or simply
(x+3)^2 -87 = 0
So our F(x) becomes
F(x) = (x + 3)^2 -87
Answer:
The expression after completing the square is:
[tex]f(x) = (x+3)^{2} -87[/tex]
Step-by-step explanation:
The function is rewritten after making algebraic manipulation:
[tex]f(x) = x^{2} + 6\cdot x +9 - 9 - 78[/tex]
The expression after completing the square is:
[tex]f(x) = (x+3)^{2} -87[/tex]
10
12:22
Which statement can be supported by the information in
the table?
The table shows the height of the tree that Margo planted
over an 11-month period.
Growth of Margo's Tree
Month Height of Tree (ft)
1.4
3
1.5
5
2.1
7
2.7
9
3.0
11
1.8
1
The tree increased in height each month during the
entire 11-month period.
The tree decreased in height each month during the
entire 11-month period.
The tree increased in height each month until the time
period between month 9 and month 11.
The tree decreased in height each month until the time
period between month 9 and month 11.
Mark this and return
Save and Exit
Next
Submit
Answer:
on edge
Step-by-step explanation:
The tree increased in height each month until the time period between month 9 and month 11
The statement that can be supported by the given information is, "The height of the tree increased in height each month until the time period between month 9 and month 11".
Given a table that shows the height of the tree that Margo planted over an 11-month period.
When the months are 1, 3, 5, 7, 9, and 11, the height of the tree is 1.4, 1.5, 2.1, 2.7, 3, and 1.8 respectively.
It is clear that the height of the tree increases during the months from 1 to 9.
During the time period between 9 and 11, the height of the tree decreases to 1.8 from 3.
So, the height of the tree increased in height each month until the time period between month 9 and month 11.
Hence the correct option is c.
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A car is approaching a building. When it is 300 ft away, the angle of depression from the top of the building to the car is 42°. To the nearest foot, how tall is the building?
Answer: 333.2ft
Step-by-step explanation:
We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)
The height of the building is the other cathetus.
Now, we know that the angle of depression from the top of the building to the car is 42°
This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:
90° - 42° = 48°
if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.
Here we can use the relation:
Tan(A) = Opposite cathetus/adjacent cathetus:
Then:
Tan(48°) = H/300ft
Tan(48°)*300ft = H = 333.2ft
Answer:
270 ft
Step-by-step explanation:
The angle of depression from the top of the building to the car = 42° and the distance from the car to the building is 300 ft.
This can be represented by a right triangle with:
Adjacent side to the angle = distance from the car to the building = 300 ft, opposite side to angle = height of building = x and angle (θ) = 42°
From trigonometry:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\Therefore:\\tan(42)=\frac{x}{300}\\ x = 300*tan(42)= 300*0.9\\x=270ft[/tex]
The height of the building is 270 ft
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!! No explanation needed !!
Answer:
c
Step-by-step explanation:
GUYS, PLEASE HELP!!! THIS IS REALLY NEEDED! (20 POINTS!)
The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Find the measure of arc EB. Circle A is intersected by line CD at points D and E and line CB at point B, forming angle ECB outside of the circle, the measure of angle ECB is 25 degrees, arc EB is 4x plus 16 degrees, and arc DB 7x plus 6 degrees.
Answer:
[tex]m\widehat {EB}[/tex] = 96°
Step-by-step explanation:
From the figure attached,
m∠ECB = 25°
[tex]m\widehat {EB}={(4x+16)}[/tex] degrees
[tex]m\widehat{DB}=(7x+6)[/tex] degrees
From the theorem of secants intersecting outside the circle,
m∠ECB = [tex]\frac{1}{2}[m\widehat {DB}-m\widehat{EB}][/tex]
25° = [tex]\frac{1}{2}[(7x + 6) - (4x + 16)][/tex]
25° = [tex]\frac{1}{2}(3x-10)[/tex]
50 = 3x - 10
3x = 60
x = [tex]\frac{60}{3}[/tex]
x = 20
[tex]m\widehat {EB}[/tex] = (4 × 20 + 16)°
= (80 + 16)°
= 96°
Therefore, measure of arc EB is 96°.
Answer:
96°
Step-by-step explanation:
Got it right on the test
What is the area of the square adjacent to the third side of the triangle?
If known could u answer the other as well ?
Answer:
85 units^2 = Area of Blue Square
and
x = 5 units
Step-by-step explanation:
To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.
Since we know the area of a square is the side length multiplied by itself (or the side length squared), [tex]\sqrt{35}[/tex] is the side length of the pink square and [tex]\sqrt{50}[/tex] is the side length of the green square.
That means a = [tex]\sqrt{35}[/tex] and b = [tex]\sqrt{50}[/tex] , so...
[tex](\sqrt{35} )^{2} + (\sqrt{50})^{2} = c^{2}[/tex]
35 + 50 = c^2
85 = c^2
[tex]\sqrt{85} = c[/tex]
Now we need to square the square root of 85 to find the area of the blue square.
[tex](\sqrt{85})^{2} = Area of blue square[/tex]
85 units^2 = Area of Blue Square
To solve the other question we use the same formula again.
[tex]x^2 + 12^2 = 13^2\\x^2 +144 = 169\\-144\\x^2 = 25\\x=\sqrt{25} \\x=5[/tex]
x = 5 units
A bicycle manufacturing company knows that the equation R=-2.5p?+ 500 p models
the relationship between the price (p) and the revenue (R) for one of its product lines.
What is the maximum revenue possible?
$
Answer:
The maximum revenue is $25,000
Step-by-step explanation:
The model equation is;
R = -2.5p^2 + 500p
To find the maximum value, we differentiate this and set result = 0
The first differential of this model equation is -5p + 500
we set this to zero to get the maximum price
5p = 500
p= 500/5
p = 100
Now to get the maximum revenue, we simply substitute the value of the maximum price
That would be -2.5(100)^2 + 500(100)
= -2.5(10,000) + 50,000
= 25,000 + 50,000
= 25,000
Which of the following is equal to g(x)
Answer:
the answer is B thats wat equals to g(x)
Answer:
2x or h(x)
Step-by-step explanation:
A walkway of uniform width is to be built around a square swimming pool with 18-foot edges. How wide should the walkway be to make the area of the walkway’s surface 400 feet?
Given
an 18 ft square with a uniform border of width x
the area of the border is 400 ft²
Find
x
Solution
The outside dimension of the square with the border added is 18+2x, so the total area of square and border is (18+2x)². Subtracting the area of the original square gives the area of the border.
... (18+2x)² -18² = 400
... 4x² +72x = 400 . . . . . simplify
... x² + 18x = 100 . . . . . . .divid by 4
... x² +18x +9² = 100 +9² . . . . complete the square
... (x +9)² = 181 . . . . . . . . .simplify
... x = √181 -9 . . . . . . . . . take the square root, subtract 9
... x ≈ 4.4536 . . . . . . . . . evaluate
The appropriate choice is ...
... c. 4.45 ft
The width should be 4.45 ft
Calculation of the wi-dth:Since there is uniform wi-dth with 18-foot ed-ges. And, the surface is 400 feet
Also here we assume the width be x
Now the equation should be
[tex](18+2x)^2 -18^2 = 400\\\\ 4x^2 +72x = 400 \\\\ x^2 + 18x = 100 \\\\ x^2 +18x +9^2 = 100 +9^2 \\\\ (x +9)^2 = 181 \\\\ x = \sqrt181 -9 \\\\[/tex]
.x ≈ 4.4536
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You have an envelope full of coupons that you received 253 days ago. If
the coupons expire 9 months from the day they are given to you, will you
be able to use your coupons at the store or will they have already expired?
Answer:
you should be able to use them
Step-by-step explanation:
Please help! Correct answer only, please! Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product? A · B A. B. C. D.
Answer:
if a matrix and another are inverse of each other, then they will form something known as the identity matrix. The identity matrix is the one I posted in the picture above. So your answer would be B
All single digit prime numbers are odd
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Step-by-step explanation:
hope this helps!
Answer:no
Step-by-step explanation:
All single digit prime numbers are not odd because 2 is a single digit but not odd
Justin ,cam and Ben are playing a board game where exactly one player will win .Ben estimates that Justin has a 20% chance of winning each game and that cam has a 50% chance of winning each game?
Question :
Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent chance of winning each game and that Cam has a 50%, percent chance of winning each game. What is the probability that Ben will win the board game?
Answer: 30%
Step-by-step explanation:
Given the following :
Justin's chance of winning each game = 20%
Cam's chance of winning each game = 50%
Therefore, probability of :
Justin winning = 20/100 = 0.2
Cam winning = 50/100 = 0.5
Overall probability = 100% = 1
Therefore,
P(Justin winning) + P(Cam winning) + P(Ben winning) = 1
0.2 + 0.5 + P(Ben winning) = 1
P(Ben winning) = 1 - 0.7
P(Ben winning) = 0.3
0.3 = 30%
What’s the value of x in centimeters
Answer:22.5
Step-by-step explanation:
multiply by 1.5
Answer:
22.5 cm
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
AC BC
-------- = ---------
FH GH
12 15
-------- = ---------
18 x
Using cross products
12x = 15*18
Divide each side by 12
12x/12 = 15*18/12
x =22.5
The sum of 3 consecutive odd integers is 411. State the values of the integers.
Answer:
135, 137, 139
Step-by-step explanation: My bad, I did not see that it said consecutive odd integers
x+x+2+x+4=411
3x+6=411
3x=405
x=135
x+2+137
x+4=139
Represent 3 consecutive odd integers as follows.
X ⇒ first odd integer
X + 2 ⇒ second odd integer
X + 4 ⇒ third odd integer
Since their sum in this problem is 411, x + (x + 2) + (x + 4) = 411.
Now combine like terms to get 3x + 6 = 411.
No subtract 6 from both sides to get 3x = 405.
Now divide both sides by 3 and x = 135.
So x + 2 would be 137 and x + 4 would be 139.
So our consecutive odd integers are 135, 137, and 139.
evaluate x-2 for x=3
Answer:
f(x)=(x)^(-2)
f(-3)=(-3)^(-2)
f(-3)=(9)^(-1)
f(-3)=(1/9)
Select the values that make the statement true. n/100=1/d=p% PLZ HELP ME
Answer:
it will be: n = 5 d = 20 p = 5
Hope it helped!
i need help please asap!!....
Answer: The answers are in the steps but you have to look closely because i wasn't able to create the table so I just did something that looks like the table and put in the answers. Hopes it helps.
Step-by-step explanation:
d) Empire State Building
Original Image actual Height 1450 1450 1450
Reduced Image Model Height 145 58 28
Scale Factor [tex]\frac{1}{10}[/tex] 1/25 1/50
e) Yes is correct because a dilation makes the Original shape bigger or smaller and that depends on the scale factor.The greater the scale factor is, the bigger the shape gets and the small the scale factor is the less the shape gets in size. So sally is totally right because if the number is less than one it is probably going to be a decimal less than one so and that makes the original shape smaller.
Which of these statements is true for f(x) = 4 . (7)*?
A. It is always decreasing.
B. The y-intercept is (0, 1).
C. The y intercept is (0, 4).
D. The domain of f(x) is x > 0.
Answer:
C. The y-intercept is (0, 4).
Step-by-step explanation:
The graph of f(x) = 4 is a straight line parallel to the x-axis passing through the point (0, 4).
Answer:C
Step-by-step explanation:
BIG BRAIN
help me please ill give you brainly :D
Answer:
The loose candy is less per gram
Step-by-step explanation:
First find the cost of the bags
1.49 /120 grams = .012416667 per gram
Then the cost of the loose candy
.89/100 grams = .0089 per gram
The loose candy is less per gram
2 Points
A bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 orange (O).
You randomly choose a ball. What is the sample space?
A. {R, B}
B. {R, G, Y, O}
Ο Ο Ο Ο
C. {G, O}
D. {R, G, Y, B}
Answer:
B
Step-by-step explanation:
The sample space is a set of any and all possible outcomes.
Sarah burned 280 calories running 20 minutes. The next day, Sarah burned 490 calories running for 35 minutes. Let c represent the number of calories. Let t represent time, in minutes, spent running. Which equation represents this relationship?
Answer:
c = 14 * t
Step-by-step explanation:
we have to calculate the average to make the equation, the first thing is to calculate the calories burned per minute in the two days:
the first day:
280/20 = 14
second day:
490/35 = 14
that is, how it does not change from day to day, the average is 14 calories per minute, therefore, the equation would be:
c = 14 * t
The equation represents this relationship is [tex]c = 14 \times t[/tex]
Calculation of an equation:Since Sarah burned 280 calories running 20 minutes. The next day, Sarah burned 490 calories running for 35 minutes. Let c represent the number of calories. Let t represent time, in minutes, spent running.
So, here we need to determine the burned per minute for 2 days
So,
the first day
[tex]= 280\div 20[/tex]
= 14
And, the second day:
[tex]= 490\div 35[/tex]
= 14
Therefore, The equation represents this relationship is [tex]c = 14 \times t[/tex]
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what is product of 3 1/3 * 2 1/6 in its simplest form
Answer:
65/9
Step-by-step explanation:
3 1/3=(3*3+1)/3=10/3
2 1/6=(2*6+1)/6=13/6
10/3*13/6=130/18=65/9
Answer:
[tex]7\frac{2}{9}[/tex]
Step-by-step explanation:
[tex]3 \frac{1}{3} = \frac{10}{3}[/tex]
[tex]2\frac{1}{6} = \frac{13}{6}[/tex]
10 × 13 = 130
3 × 6 = 18
[tex]\frac{130}{18} = 7\frac{2}{9}[/tex]
pls help for brainliest answer
Answer:
189.3cm2
Step-by-step explanation:
Divide the whole figure into 2 parts. One part as a rectangle and the other as a semicircle ( half a circle). First find the area of the rectangle, 10 times 15 which will get you 150cm2. Next to find the area of the semicircle do [tex]\pi[/tex] times 5 times 5 times half. You will get an amount like 39.26990817 but do not worry for now. Just keep it like that. Then add this amount with 150 and you will get an amount like 189.2699082
Then round it of to one decimal place and you will get 189.3cm2
26 fifth graders are learning to make balloon animals. There are 580 balloons to share equally among the students. How many balloons will be left over?
Answer: There will be 8 balloons left over.
Step-by-step explanation: A total of 580 balloons to be distributed equally among 26 students means 580 ÷ 26.
The division is not exact, since 580 are not divisible by 26, it will result in a rest, so
580 ÷ 26 = 22 and has rest 8
Therefore, there will be 8 balloons left over.
The sum of two numbers is 49 and the difference is 25 . What are the numbers?
Answer:
x = 37 y = 12
Step-by-step explanation:
Let x be one number
Let y = other number
x+y = 49
x-y = 25
Add the equations together
x+y = 49
x-y = 25
---------------
2x = 74
Divide by 2
2x/2 = 74/2
x =37
x+y = 49
37+y = 49
Subtract 37 from each side
37+y-37 = 49-37
y = 12
Which table represents a linear function?
Answer:
the third one
Step-by-step explanation:
a linear function is information that is increasing or decreasing at a steady rate, in that specific set of data their decreasing at a rate of 2
Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor{blue}{\bf\circledast}$ key chops off the first digit and moves it to the end. For example, if $6138$ is on the screen, then pressing the $\textcolor{blue}{\bf\circledast}$ key changes the display to $1386$. Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again. After all these steps, the calculator displays $243$. What number did Thea originally enter?
Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
The question is above please help
2x^3y + 7xy^2 - 3x^2 - 12y
Answer:
● 2x³y + 7y²x - 3x² - 12y ✔
