Answer:iscusses the domain and range of a function, and how to find the domain ... {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} ... If you find any duplicate x-values, then the different y-values mean that you do not have a function. ... I'll just list the x-values for the domain and the y-values for the range: domain: {–3, –2, –1, 0, 1, 2}. range: {5}.
Step-by-step explanation:
Which of these systems of equations has one solution?
Answer: B
Step-by-step explanation:
A hailstone falls from a cloud at a height of 1,600 ft. If the equation for height as a function of time is h(t) = -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the hailstone to hit the ground? [?] seconds
Answer:
10 seconds
Step-by-step explanation:
The function is
[tex]h(t)=-16t^2+\text{Initial height}[/tex]
Initial height = 1600 ft
t = Time taken
[tex]0=-16t^2+1600[/tex]
[tex]\Rightarrow -16t^2=-1600[/tex]
[tex]\Rightarrow t^2=\dfrac{1600}{16}[/tex]
[tex]\Rightarrow t^2=100\\\Rightarrow t=\pm 10[/tex]
So, time taken by the hailstone to reach the ground is [tex]10\ \text{seconds}[/tex].
Answer:
10 seconds
Step-by-step explanation:
)A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a red marble from the bag and then classify the probability of picking a red marble as likely or not likely to occur.
Answer:
If the bag contained 20% of blue marbles and 50% of green marbles than that would mean the bag would contain 30% of red marbles. The probability of picking a red marble from the bag would be considered unlikely.
Step-by-step explanation:
Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)?
Two lines [tex]y_1,y_2[/tex] are perpendicular if their slopes are in a relation [tex]m_1=-\frac{1}{m_2}[/tex].
So we need to find slopes and if the above relation holds then we can claim the lines are perpendicular.
To find slopes, use slope formula
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
The first slope of a line passing through [tex]PQ[/tex] is
[tex]m_1=\frac{-13-(-9)}{6-2}=\frac{-4}{4}=-1[/tex]
The second slope of a line passing through [tex]RS[/tex] is
[tex]m_2=\frac{-1-(-5)}{5-1}=\frac{4}{4}=1[/tex]
Now check if [tex]m_1=-\frac{1}{m_2}[/tex] is true
[tex]-1=-\frac{1}{1}\implies -1=-1[/tex]
This means the two lines are perpendicular.
Hope this helps.
Based on a​ survey, assume that ​48% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly​ selected, exactly of them are comfortable with delivery by drones. Identify the values of​ n, x,​ p, and q. The value of n is ______.
Answer:
The value of n is the size of the sample, the number of customers selected.
The value of p is 0.48.
The value of q is 0.52.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
48% of consumers are comfortable having drones deliver their purchases.
This means that [tex]p = 0.48, q = 1 - p = 1 - 0.48 = 0.52[/tex]
The value of n is the size of the sample, the number of customers selected.
The table shows the feeding times of some animals in a zoo. Each feeding session lasts for 20 minutes.
Answer: 12:35 hrs
Step-by-step explanation:
Marlon watches the lions feed in the morning which was at 11:30.
Each feeding session lasts 20 minutes:
= 11:30 + 20
= 11:50 am
Marlon then walks for three quarters of an hour - 45 minutes - before stopping.
= 11:50 + 45
= 12:35 hrs
Multiply the sum 5 and 3 and the sum of 8 and 9
Answer:
136
Step-by-step explanation:
Sum of 5 and 3: 8
Sum of 8 and 9: 17
17 * 8 is 136
Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.
f(x) = -2x²-2x+10, find f(2)
Answer:
f(2) = -2
Step-by-step explanation:
Substitute 2 everywhere you see an x so f(2) = -2([tex]2^{2}[/tex]) - 2(2) + 10 so
f(2) = -2(4) - 4 + 10, so f(2) = -8-4+10, f(2) = -12+10, f(2) = -2
I need help
A square and a triangle have equal area. If the triangle has a height of 8 cm and a base of 9 cm, what is the perimeter of the square?
A:
72 cm
B:
6 cm
C:
24 cm
D:
18 cm
Answer:
A 72cm
Step-by-step explanation:
Area of a triangle = 1/2 base x height
= 1/2 × 8× 9 = 36cm2
area of triangle = area of square
36cm2 = 36cm2
area of square = length x breath
= x x x = 36cm3
square has all sides(4) equal
therefore: 36/ 2 = 18cm (one side)
(18 x 18= 36cm3, so area is correct)
hence perimeter = 18+ 18+18+18 = 72cm
Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.
Answer:A-B-C-D
Step-by-step explanation:
Answer:
1234
Step-by-step explanation:
i took the test
what is aquifelent to 3 mi
What measurement do you need? For ft it's 15840
Answer:
I do not know
Step-by-step explanation:
I do not know
can someone help plz?.
Anyone know the answer
Answer:
S(4) = 2
Step-by-step explanation:
S(n) = n(n - 3) / 2
S(4) = 4(4 - 3) / 2
= 4 x 1 / 2
= 4/2
= 2
A high school drama department sold 238 tickets for their performance.
• An adult ticket cost $6.75.
• A student ticket cost $3.50.
• The high school drama department collected $1,252.25 in ticket sales.
How many student tickets were sold?
Answer:
358 student
Step-by-step explanation:
3.50×358=1252
Explain why an archaeological matrix is important in archeology
Answer:
The stratigraphic relationships that are documented as a principal part of the record of the excavation form a fundamental part of the overall site record and underpin the relationships between the site's other recorded individual archaeological components.
Step-by-step explanation:
Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13
Answer:
i dont know
Step-by-step explanation:
owrite down the name of each of these triangles
Answer:
sry I don't know.
if someone answer tell me the answer I also want to know : )
A straw is placed inside a rectangular box that is 10 inches by 8 inches by 2 inches, as
shown. If the straw fits exactly into the box diagonally from the bottom left corner to
the top right back corner, how long is the straw? Leave your answer in simplest
radical form.
The length of the straw placed inside a rectangular box with 10 inches by 8 inches by 2 inches is 2√42 inches.
To find the length of the straw, we can use the Pythagorean theorem. The straw acts as the hypotenuse of a right-angled triangle formed by the three dimensions of the box (10 inches, 8 inches, and 2 inches).
Let the length of the straw be represented by 'l'.
According to the Pythagorean theorem:
[tex]l^2 = 10^2 + 8^2 + 2^2[/tex]
[tex]l^2 = 100 + 64 + 4[/tex]
[tex]l^2 = 168[/tex]
Take square root on both sides:
[tex]l = \sqrt{168}[/tex]
[tex]l = \sqrt{4 \times 42}[/tex]
[tex]l = 2 \times \sqrt{42}[/tex]
So, the length of the straw is 2√42 inches in simplest radical form.
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Complete question:
A straw is placed inside a rectangular box that is 10 inches by 8 inches by 2 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
When the following inequality is graphed, what will it look like?
2 > f
Answer:
Step-by-step explanation:
(2x³ - 10x² + 4x - 20) / (x - 5) = ?
Step-by-step explanation:
2x³ - 10x² + 4x - 20
= 2x²(x - 5) + 4(x - 5)
= (2x² + 4)(x - 5).
Hence (2x³ - 10x² + 4x - 20) / (x - 5)
= [(2x² + 4)(x - 5)] / (x - 5) = 2x² + 4.
Answer:
2x²+4
Step-by-step explanation:
2x³-10x²+4x-20
2(x³-5x²+2x-10)
x-5
2(x²×(x-5)+2(x-5)
x-5
2(x-5)×(x²+2)
x-5
2(x²+2)
=2ײ+4
A circle has a diameter with endpoints at (0, 4) and (0, –8). What is the approximate area of the circle?
Answer:
113.04
Step-by-step explanation:
Area of a circle is πr2
π = 3.14
r = 6
πr2 = 113.04
Answer:
[tex]36\pi[/tex]
Step-by-step explanation:
The diameter is:
The Euclidean distance between points (x1, y1) and (x2, y2) is:
sqrt((x1 - x2)^2 + (y1 - y2)^2)
Substitute (x1, y1) = (0, 4) and (x2, y2) = (0, -8):
= sqrt((-0 + 0)^2 + (-(-8) + 4)^2)
= sqrt(12^2)
= 12
or simply:
diameter: 4-(-8)=12
The radius is:
12/2=6 units
The area of the circle:
[tex]\pi r^2=\pi(6^2)=36\pi[/tex]
Find the missing length indicated.ii
Danny charges $30 for 3 hours of swimming lessons, Martin charges $38 for 2 hours of swimming lessons. Who offers a better deal?
Answer:
Danny
Step-by-step explanation:
Danny charges less because he only charges $30 for 3 hours of swimming lessons while Martin charges $38 for only 2 hours of swimming lessons.
I need help please help me
Answer:
a. 85 m
b. 96 cm
Step-by-step explanation:
Work for (a.)
95 x 2 = 190. 360 - 190 = 170170 ÷ 2 = 85Final Answer: 85 mWork for (b.)
58 x 2 = 1165568 ÷ 58 = 96 To make sure: 96 x 58 = 5568Final Answer: 96 cmMake a conjecture. Let points A and B stay in the same
position. What would happen to the angle formed if the
vertex of angle AOB was moved from the center to point
C, which lies on the circle?
The measure of angle ACB is
the
measure of angle AOB.
Answer:
✔ less than
Step-by-step explanation:
The measure of angle ACB is less than the measure of the angle AOB.
GIven,
Making the conjecture.
What would happen to the angle formed if the vertex of angle AOB was moved from the center to point C, which lies on the circle is to be justify.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r². where h, k is the coordinate of the circle's center on coordinate plane and r is the circle's radius.
Here, there is a property of pair of lines,
when two lines intersect each other they hold some angle of intersection with each other, when the angle of intersection increases, assuming a point says the point of intercession getting close to the points then angle of the intersection will increase. If the point of intersection gets far away from that point, the angle of the intersection will decrease.
Similarly, in the given problem point O is close to the arc AB than C. Implies Angle ACB is smaller than Angle AOB.
Thus, the measure of angle ACB is less than the measure of the angle AOB.
Learn more about circle here:
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If x = 4 units, y = 8 units, and h = 7 units, find the area of the parallelogram shown above using decomposition. A. 28 square units B. 56 square units C. 84 square units D. 112 square units
Answer:
a
Step-by-step explanation:
area of parallelogram is equal to base times height 7 * 4
help me i need help pls pls pls
Answer:
B.…….................
Why is the value of x to the nearest tenth?
Answer: 9.4
Step-by-step explanation:
Please show the work.
1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?
2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.
Answer:
see explanation
Step-by-step explanation:
(1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
Step-by-step explanation:
[tex]1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then
x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
[/tex]
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Answer:
Step-by-step explanation:
Let the ends of the given segment are A and B.
Coordinates of A → (8, 6)
Coordinates of B → (12, 12)
If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,
(x, y) → (kx, ky)
If k = [tex]\frac{2}{3}[/tex]
(x, y) → [tex](\frac{2}{3}x, \frac{2}{3}y)[/tex]
By this rule coordinates of the image points of A and B will be,
A(8, 6) → [tex]A'(\frac{2\times 8}{3},\frac{2\times 6}{3})[/tex]
→ A'(5.3, 4)
B(12, 12) → [tex]B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})[/tex]
→ B'(8, 8)
Now we can get the image of segment AB after dilation by a scale factor of [tex]\frac{2}{3}[/tex].
