Answer:
6, 8, 48
Step-by-step explanation:
substitute x = - 1, 0, 5 into k(x)
k(- 1) = (- 1)² + 3(- 1) + 8 = 1 - 3 + 8 = 6
k(0) = 0² + 3(0) + 8 = 0 + 0 + 8 = 8
k(5) = 5² + 3(5) + 8 = 25 + 15 + 8 = 48
A watering can hold 12 1/2 litres.it’s filled 11 times from a tank containing 400 litres.how much water is left in the tank
Answer:
262 1/2 liters
Step-by-step explanation:
Remaining water in tank :
Volume (tank) - 11 x Volume (watering can)400 - 11 x 12 1/2400 - 137 1/2262 1/2 litersAnswer:
262.5 litres
Step-by-step explanation:
Water taken from the tank
⇒ 11 × 12.5 litres = 137.5 litres
Water left in tank
⇒ 400 - 137.5 = 262.5 litres
The graph of the parent tangent function was transformed such that the result is function f. f(x) = tan(x + 1) Which graph represents function f? OA. رہے O C. -4 -2 O D. f(x) 4- 2- -2- 2 B. f(x) 4- 2- H 0 -4 -2/ -2- f(x) 4- 2- D X 10 -4 -2 4 -22- f(x) 4. 2- Al X 0 -2 -2- -4- 2 4 2 X 4 X
Using translation concepts, it is found that graph D represents the function f(x) = tan(x + 1).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The function f(x) = tan(x + 1) is a translation of one unit to the left of g(x) = tan(x), which has g(0) = 0, hence at the translated function g(-1) = 0, which means that graph D represents the function f(x).
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You are planting a vegetable garden on a plot of land that is a sector of a circle, as shown below.
You want fencing along only the curved edge of the garden.
a. Use the figure to find the length of fencing you will need.
15 ft
75°
b. How much area will be available for planting?
Answer:
(a) 19.63 ft
(b) 147.26 ft^2
Step-by-step explanation:
(a) 75/360 degrees . 2 . pi . 15 = 19.63
(b) 75/360 degrees. pi . 15^2 = 147.26
Answer:
a) 19.63 ft (2 dp)
b) 147.26 ft² (2 dp)
Step-by-step explanation:
To find the length of the curved fence, use the formula for arc length of a circle.
To find the area of the vegetable garden, use the formula for area of a sector of a circle.
Formula
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]
[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]
Calculation
Given:
[tex]\theta[/tex] = 75°r = 15 ft[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (15)\left(\dfrac{75^{\circ}}{360^{\circ}}\right)\\ & = 30 \pi \left(\dfrac{5}{24}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{75^{\circ}}{360^{\circ}}\right) \pi (15)^2\\& = \left(\dfrac{5}{24}\right)\pi \cdot 225\\& = \dfrac{375}{8} \pi\\& = 147.26\: \sf ft^2 \:(2\:dp)\end{aligned}[/tex]
What is the area of a regular nonagon if its apothem
has a length of 6 feet and each side has a length of
7.2 feet?
Answer:
194.4
Step-by-step explanation:
Formula for finding the area of any polygon :
number of sides (n) x 0.5 x length of sides (s) x apothem (a)
Area = 9 x 0.5 x 7.2 x 6 = 194.4
hope this helps :)
What is an equation of a line that perpendicular to y=8x-3?
Question 4 options:
y=8x + 10
y=10x - 3
y= -1/-8 (-3)
y= -1/-8 +1
Hi Student!
Reading the question we can pull out specific bits of information that would help us find our answer. One of the bits of information that is useful is that we are trying to find the perpendicular line. However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line. Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.
Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line. In order to find that we first need to negate our slope which would turn our 8 into a -8. The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8. Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
Group of answer choices
800 J/kgC
1200 J/kgC
300 J/kgC
450 J/kgC
Answer:
Step-by-step explanation:
800 J/kgC
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
it is 800 J/kgC
Jamal is looking for a summer job. One job pays $10 per hour. Another pays $15 per hour but requires a uniform that costs $50. What are the two quantities that vary in relation to each other in this situation?
Answer:
Jamel work one job per hour pays =$10
Jamel work Another pays=$15
Jamel Uniform costs=$50
Total situation=$7,500
NEED HELP QUICKLY
(please include your work)
19. Solve for the angle x.
sin²(2x) = 1
A. 45° + 360°n, 135° + 360°n
B. 45° + 360°n, 135° + 360°n, 225° +
360°n
C. 225° +360°n
D. no solution
E. 45° +360°n, 135° + 360°n, 225° +
360°n, 315° +360°n
F. 45° + 360°n, 225° + 360°n
( A is incorrect)
Answer:
Choice E.
Step-by-step explanation:
sin^2 2x = 1
sin 2x = ± 1
So 2x = 90, 270 , 450, 630 etc
x = 45, 135, 225, 315 etc
= 45 + 360n, 135 + 360n, 225 + 360n, 315 + 360n
What is another name for 13?
a. (15+3)+7
b.
(4 x 3) + 3
c.
3+ (5 x 2)
d.
3 x 3 +5
pls help me my homework
Answer:
[tex]1.\; \boxed{\sf x=12^o}[/tex]
[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]
Step-by-step explanation:
1)
Since ∠1 and ∠ (7x-20) are corresponding angle.
So, ∠1 =∠ (7x-20)
and, ∠1 and ∠(5x+16) are vertically opposite angles.
- - - - -
S0...
[tex]\sf 4x+16=7x-20[/tex]
Subtract 16 from both sides.
[tex]\sf 4x=7x-36[/tex]
Subtract 7x from both sides.
[tex]\sf 4x-7x=7x-36-7x[/tex]
[tex]\sf -3x=-36[/tex]
Divide both sides by -3.
[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]
[tex]\boxed{\sf x=12^o}[/tex]
- - - - - - - - - - -
2)
∠1 and ∠2 are corresponding angles.
S0,
[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]
- - - - - - - - - - - - - - - - - -
Additional info:-
Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.
Vertical angles are angles opposite each other where two lines cross.
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Answer:
x = 12
Step-by-step explanation:
The angles are equal as they are alternate exterior angles.
Solving :
⇒ 4x + 16 = 7x - 20
⇒ 7x - 4x = 16 + 20
⇒ 3x = 36
⇒ x = 12
Rectangle ZYXW has vertices Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4). What will be the vertices of the rotated image if the rectangle is rotated around the origin counterclockwise by 90 degrees?
The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
How to determine the vertices of the image?The points are given as:
Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)
The rule of rotation around the origin counterclockwise by 90 degrees is
(x,y) => (-y,x)
Using the above rule, we have:
Z' = (4,-1)
Y' = (2,0)
X' = (0,4)
W' = (4,3)
Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
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what is the surface area of this solid?
_______ square meters
o 101
o 107
o 116
o 131
Answer:
The surface area of this solid is:
b. 107
Step-by-step explanation:
To understand this answer we need to analyze it. First, we have different geometric figures composing the solid. A pyramid and a rectangular prism. We need to obtain the surface, not the volume so we need to obtain the area of all the figures composing the pyramid and the prism without the hidden part of the pyramid base. We need to obtain the following areas:
2 rectangles with the following measures= W=2 L= 8
1 rectangle with the following measures= W=3 L=8
1 rectangle with the following measures= W=3 L 5
2 rectangles with the following measures= W=2 L=3
4 triangles with the following measures= B=3 H=4
Following the formula for the rectangles W x L we obtain a total area for them of 83 square meters.
Following the formula for the triangles b x h / 2 we obtain the following area: 24 square meters. Then we add both and obtain 107 square meters.
What is the perimeter of the triangle?
Due to its weakening steel industry, Clay County has been experiencing population decline of 3% every year. The current population is 10,300 people. Assuming the trend continues, what will the population be in 10 years?
Using an exponential function, it is found that the population of Clay County will be of $13,482.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.
The equation is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 10300(1 + 0.03)^t[/tex]
[tex]A(t) = 10300(1.03)^t[/tex]
Hence, in 10 years, the population will be given by:
[tex]A(10) = 10300(1.03)^{10} = 13842[/tex]
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Answer: 7,595
Step-by-step explanation:
ixl
A certificate of deposit earns 0.75% annual interest every three months. The interest is compounded. What is the value of a $32,000 investment after 5 years?
A. $33,221.62
B. $37,157.89
C. $43,099.36
D. $57,795.56
Answer:
Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:
A=P(1+r/100)^nt
where:
A=amount
P=principle
r=rate
t=time
n=number of terms
thus:
from the infomation
$25000, r=0.75%, t=8 years, n=12/3=4
thus
A=25000(1+0.0075/100)^(4*8)
A=25000(1.0075)^32
A=$3175.28
Step-by-step explanation:
help asap pls pls pls
Answer:
the answer is 13, all you had to do was substitute 5 for N, so all you had to do was 3 + 2(5) which is 13
Right triangles below, find the values of the lengths d and h. Round your answers to the nearest tenth 
Answer:
Here is the answer...hope it helps
which graph best describes the solution of 3m > 21
Answer:
See below
Step-by-step explanation:
I don't see any graphs, but if you solve the inequality by dividing 3 on both sides, you get [tex]m > 7[/tex]. This means that all [tex]m[/tex] greater than 7, except 7 itself, are included in the solution set.
Ideally, I assume the answer would be a number line with an open circle at m=7 to show it is not included, and then a shaded arrow pointing to the right to show all possible solutions greater than 7.
discuss why area: perimeter for a square ÷ 4.
Step-by-step explanation:
because its formula is 4L
what is the approximate value for 683 divided by 19
Answer:
Your answer is: 36!
Step-by-step explanation:
Hope this helped :)
Please I really need help with this question!!!!!
To solve this problem, we must consider all the trigonometric equations:
⇒ (see image below)
Let's examine the diagram:
the side adjacent to ∠A ⇒ AC ⇒ 35 metershypotenuse ⇒ 53 metersThus we can use:
[tex]cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67[/tex]
Answer: 49 degrees (as rounded)
Hope that helps!
pasagot po, thank you
Step-by-step explanation:
6) The sum of the length of any two sides of a triangle is always equal to the third side.
Option C 3,4,7
7) The sum of the length of any two sides of a triangle is always equal to the third side.
Option B 5 units
8) The sum of the length of any two sides of a triangle is always equal to the third side.
Option D 13 units
9) The sum of the length of any two sides of a triangle is always equal to the third side.
Option A 5<x<13
question on similar triangles attatched
Answer:
h = 24 cm
Step-by-step explanation:
The triangles are similar.
Their dimensions are proportional.
Finding scale factor :
DC/AE10/201/2Finding h :
h + h/2 = 363h/2 = 363h = 72h = 24 cmHELLPP!
Change 17/34 into a percent. Show your work.
Answer:
50%
Step-by-step explanation:
[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]
helpppppp meeee728727/7/
i could say you are correct.
kaii~ <3
Write a probability model for this experiment , and use the probability model to predict how many times Stacey would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places
The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.
[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]
From the binomial random variable of n trials with a probability of success of p.
We will have, n = 50, p = 1/6
Number of times Stacey would spin a 6 = 8.33
Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.
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The graph of y=f(x) is shown on the grid.
Use the graph to workout and estimate for f(2.5)
Check the picture below.
please help w this question!!!
Answer:
72
Step-by-step explanation:
The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.
QR = QT
3p = p +48 . . . . . . substitute the given measure expressions
2p = 48 . . . . . . . subtract p
p = 24 . . . . . . . divide by 2
QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT
QT = 72
6x5= 9x6= 8x7= 2x3= please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
On a coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1), (3, negative 3). kite wxyz is graphed on a coordinate plane. what is the area of the kite? 7 square units 8 square units 14 square units 16 square units
The area of the kite will be C. 14 square units.
How to calculate the area?From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),
The area of the kite will be;
= 2(1/2 × 7 × 2)
= 2 ×7
= 14 units²
Therefore, the area of the kite will be 14 square units.
In conclusion, the correct option is C.
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Answer:
14 square units
Step-by-step explanation:
