Answer:
A.) 0.33
Step-by-step explanation:
plug in 3 for the equation y=-x^2+12x-20
Step-by-step explanation:
y=(-x^2)+12x-20
=(-(3)^2)+12(3)-20
=(-9)+36-20
=16-9=7
y=7
I hope it helped you
(Need Help ASAP (Willing to give 10 points for 1 question)
Answer:
a) -2 and 4
b) function 2
Step-by-step explanation:
a)
rate of change is rise over run: change in y / change in x.
function 1:
- i will use first 2 pairs of data
- change in y: 5 - 3 = 2
- change in x: -2 - (-1) = -1
-rate of change = 2/-1 = -2
function 2:
- same idea, but find two points on the graph!
- (0,4) and (-1,0) for example! pick easy points
- change in y is 4. chabge in x is 1
- rate of change is 4
b)
function b has greatest rate of change. 4 > -2
help me! 50 points and brainlyist
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 55°. Will the ladder be safe the way it is positioned? Explain.
Answer: (a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ft
sin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
Solve x² + 11x +18=0 by factoring.
A
x = 3 or x=6
B
x=-6 or x = -3
C
x = 2 or x = 9
D
x = -9 or x = -2
Write your own equation in slope-intercept form and graph.
Answer:
No se
Step-by-step explanation
Espero Averte Ayudado:
Plot the data points into the calculator. Resize the window to fit the data and use the power regression function.
What is the power regression equation for these data points? Round to the nearest hundredth.
A )y = 71. 59x0. 49
B) y = 72. 49x0. 50
C) y = 73. 48x0. 51
D) y = 72. 34x0. 50
Answer:
y = 72.49x0.50
Step-by-step explanation:
A circle with two chords is shown below in the figure. Find the value of x.
X
8
x+12
12
X =
A circle with two chords is given with length X, 8, x-12, 12. Thus, The value of x is 24.
What is the relation between line perpendicular to chord from the center of circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or
|AC| = |CB|
Using the theorem of intersecting chords
[tex]12x =8(x-12)\\\\12x = 8x - 96\\\\12x - 8x = 96\\\\4x = 96\\\\x = 24[/tex]
The value of x is 24.
Learn more about chord of a circle here:
https://brainly.com/question/27455535
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2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true
plsss help :)))
Answer:
x = -9/2
Step-by-step explanation:
1. Divide 9 by -1/3:
[tex]\frac{9}{1}[/tex] ÷ [tex]-\frac{1}{3}[/tex] = [tex]\frac{9}{1}[/tex] · [tex]-\frac{3}{1}[/tex]
= -27
2. Divide both sides by 2:
2(x - 9) = -27
[tex]\frac{2(x-9)}{2} = \frac{-27}{2}[/tex]
(x - 9) = [tex]-\frac{27}{2}[/tex]
3. Add 9 to both sides:
x = [tex]-\frac{9}{2}[/tex]
(or 4.5 if you need it in decimal form)
hope this helps!
The force-extension data for a spring are recorded in the graph below. Assuming force is measured in newtons and
extension in meters, what is the spring constant for this spring?
∆ F/ ∆e = K
(5.4-2.1)/(1.8-0.7)= K
3.3/1.1 = K
K = 3
⚠️‼️ HELP PLEASE GIVING POINTS
A circle has a diameter of 12 ft. What is the length of an arc intercepted by a 60° central angle?
Answer: It's 6.28319 feet
Step-by-step explanation:
What is the multiplication problem that means the same thing as the division problem 1/9 divided by 12?
1/9 x 12
1/9 x 1/12
9/1 x 12
1/12 x 108
Answer:
B
Step-by-step explanation:
We must find the reciprocal of 12, which is 1/12. This means 1/9 divided by 12 is 1/9 times 1/12.
Are the ratios 7:9 and 3:6 equivalent?
Answer: No
Step-by-step explanation:
Calvin works two different jobs. He worked a total of 40 hours last week. Of the time he worked, 16 hours were spent at the
job where he makes $18 per hour. The rest of the time was spent at the job where he makes $20 per hour.
How much money did Calvin make from both jobs last week?
$288
b$480
$752
$768
Answer: 768
Step-by-step explanation:
24 times 20 =480 dollars
16 x18=288
480+288= 768
so yea D IS THE ANSWER!!!
hope thats helps :)
What is 20% of 350? Please explain
Answer:
70
Step-by-step explanation:
20% is the same thing as 1/5
350 times 1/5 is 70.
Answer:
70
Step-by-step explanation:
.2 * 350 = 70
Calculate the mean of the electric bills for Family A. Round your answer to the nearest cent.
Month | Family A | Family C
January | $88.82 | $134.51
February | $84.80 | $118.06
March | $62.35 | $109.28
April | $65.17 | $90.15
May | $60.20 | $91.20
June | $74.86 | $96.36
July | $92.15 | $130.71
August | $99.89 | $129.16
September | $96.45 | $107.77
October | $81.63 | $100.95
November | $64.12 | $107.64
December | $72.58 | $123.82
Answer:
The mean for Family A=78.585 , ≈78.59
Step-by-step explanation:
I solved this with a TI-84 CE calculator. To do this you press stat-edit-put in the numbers-2nd+mode-stat-right arrow key-calc-1_Var_Stats-Calculate. Then X with the _ over it would be your mean.
Andrea bough a bucket of colored chalk. The list below shows the fraction of each color of chalk in the bucket. 2/6 are yellow, 5/12 are blue, and 3/12 are green. Andrea told Michelle that less than 1/2 the chalk in the bucket is blue. Michelle said she is mistaken. Who is correct? Explain why you chose your answer.
Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.
How to solve fractions?Yellow = 2/6Blue = 5/12Green = 3/12Total = 2/6 + 5/12 + 3/12
= (4+5+3) / 12
= 12/12
= 1
Fraction of blue : Total chalk
= 5/12 : 1
Blue = 5/12 ÷ 1
= 5/12 × 1/1
= 5/12
= 0.42
So,
1/2 = 0.5
Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.
Learn more about fraction:
https://brainly.com/question/11562149
What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)?
Translating the triangle DEF involves moving the triangle along the coordinate plane
The y-coordinate of point D after the translation (x, y) → (x + 6, y – 4) is 1
How to determine the y-coordinate of D'?From the figure the coordinate of D is:
D = (-2.5,5)
The rule of translation is given as:
(x, y) → (x + 6, y – 4)
So, we have:
(x, y) → (-2.5 + 6, 5 – 4)
Evaluate the sum and the difference
(x, y) → (3.5, 1)
Remove the x-coordinate
y → 1
Hence, the y-coordinate of point D after the translation is 1
Read more about translation at:
https://brainly.com/question/11468584
Kaya's family spends \$ 105$105 to rent a boat for 77 days. The total cost, cc, of the boat rental is proportional to the number of days, dd, the family rents the boat.
A. How much does it cost, in dollars, to rent the boat for one day?
B. Create an equation using c and d to represent the proportional relationship.
A. \$$
B.
[tex]c = 15d[/tex]
Step-by-step explanation:
find the value of the constant of proportionality k
[tex]k = \frac{v}{d} [/tex]
c =total cost
d =days
Point A is located at (-3, 0) and is rotated 90°. What are the coordinates of point A'?
(-3, 0)
(0, -3)
(3, 0)
(0, 3)
Answer:
(0,-3)
Step-by-step explanation:
Rotating a point 90° from the second quadrant to the third on a (x,y) graph follows the transformation,
(x,y) → (-x,y)
Jimmy has a collection of baseball cards. He wants to make at most $50.00 by selling some of them for $3.00 per card. Which inequality best represents this goal?
\$3.00c\geq\$50.00
\$3.00c\leq\$50.00
\$3.00c=\$50.00
\$3.00c<\$50.00
\$3.00c>\$50.00
I don't know
Answer:
3c ≤ 50Step-by-step explanation:
Each card is sold by $3, the number of cards is c.
The total is 3c and it needs to be at most $50:
3c ≤ 50Is the correct inequality for this case
Let the no of cards be c
Rate per card=$3Now
The inequality is
3×c≤503c≤50Or
3.00c≤50.00Find the equation of the perpendicular from the point P(-1,-2) on the line
3x + 4y - 12 = 0. also find the coordinates of the foot of the perpendicular.
Step-by-step explanation:-
The given line is 3x + 4y - 12 = 0
=> 4y = -3x + 12 ....(i)
=> y = -3x/4 + 3,
therefore, the slope of the line (i) = -3/4.
From P(-1,-2), draw PN perpendicular to the given line. (see attachment)
As we know,, m2 = -1/m1
So, the slope of the line PN = 4/3
the equation of the line through P(-1,-2) and having a slope 4/3 is :-
= > y - (-2) = 4/3 * (x - (-1))
= > 3y + 6 = 4x + 4
= > 4x - 3y - 2 = 0....(ii)
which is the required equation of the perpendicular from P to the given line. To find the coordinates of N (the foot of perpendicular), solve (i) and (ii) simultaneously. Multiplying (i) by 3 and
(ii) by 4, and on adding, we get
= > 25x - 44 = 0
= > x = 44/25
Multiplying (i) by 4 and (ii) by 3, and on subtracting, we get :-
= > 25y - 42 = 0
= > y = 42/25
Hence, the coordinates of the foot of the perpendicular are (44/25 , 42/25)
Hope it helps you!!(44/25 , 42/25)
these are the points
PLEASEEEEEEEEEEEEEEEEEEEE HELP MEE YALL WITH ALL 4 QUESITONS
Answer:
Step-by-step explanation:
17. Domain is all real numbers because the equation has a y-value for all x-values as far as we can see with the information given.
18. Range is 3< y <8, because the equation only has values for x where y is between those numbers.
19. Range is 3> y >-∞ (negative infinity) because the parabola's vertex has a y-coordinate of 3 and the parabola goes on forever in the negative direction (as seen by the arrows).
20. Domain is -∞ < x < 4 because the parabola's vertex has an x-coordinate of 4 and goes on forever in the negative x direction.
Hope this helps! :)
Ssolve 2 and 6, only if you know cuz I'm stuck on this
Answer:
2. Linear Pair Prostulate
6. Transitive Property
Step-by-step explanation:
A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes. Use d for distance and m for minutes. Write the equation and the answer separated by a semi-colon. Included the unit in your answer. For example, d = 5m; 35 feet
Answer:
A proportion is the name we give to a statement in which 2 ratios are equal. Proportions are built off of ratios. It is usually written in one of 2 ways
Step-by-step explanation:
Answer:
there are two different ways it can go up but it will be a ratio amount of air in the
Students in biology class are learning about the monarch butterfly’s life cycle. Each student is given a caterpillar. When a caterpillar turns into a chrysalis, it is placed in a glass enclosed with food and a heat lamp and examined.
A. Determine whether the situation describes a survey, an experiment or an observational study.
B. identify the sample, and suggest a population from which it was selected.
Answer: observational study
Step-by-step explanation:
i think its a observational study because they are learning about somthing and to learn about it you have to study and they are given a specemin to observe to that they can study it as it grows therfore why i think the answer is C. Observational study.
A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thus central angle
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}[/tex]
how many square feet of outdoor carpet will we need for this hole? 4ft 12ft 8ft 3ft
Answer:
56ft
Step-by-step explanation:
first you need to break the shape u so 1 rectangle and 2 triangles so first we need to find the area of the rectangle
Area of rectangle= w x h so 5* 8= 40
Area of triangle = .5 x b x h so 4 x 4 x .5 = 8 and since we have 2 double that and you get 16 so then you need to add it all up and u get the answer 56
4. The figure below shows three small circles, each with a diameter of 6 centimeters, inside a larger
circle.
.6.cm ....6.cm ..Y. 6 cm
What is the approximate area of the shaded part of the figure? Use 3.14 for .
A. 169.56 square centimeters
B. 678.24 square centimeters
C. 254.34 square centimeters
D. 226.08 square centimeters
Answer: A
Step-by-step explanation:
A rectangular rug has side lengths of (x- 2) feet
space does it cover?
and (x + 3) feet. How much floor space does it cover
Hi!
Your answer is [tex]x^2+x+6[/tex]
We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.
Dimensions:
(x - 2) x (x + 3)
Area of a rectangle:
Length x Width = Area
Plug dimensions into the formula:
[tex](x - 2)(x +3)[/tex]
Use the Distributive Property and FOIL method to solve (if you are not familiar with the FOIL method, see the image attached below):
[tex]x^2+3x-2x-6[/tex]
Combine like terms:
[tex]x^2+x-6[/tex]
Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.