9514 1404 393
Answer:
3. vertical stretch by a factor of 2; shift right 1 and down 1
4. shift left 4 and up 4 (no stretch or shrink)
Step-by-step explanation:
The vertex form equation is ...
y = a(x -h)^2 +k
It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.
Compare the the given equations to the above form to see the transformations.
__
3. (a, h, k) = (2, 1, -1) ⇒ vertical stretch by a factor of 2; shift right 1, down 1
4. (a, h, k) = (1, -4, 4) ⇒ no vertical stretch; shift left 4, up 4
What type of solutions does the quadratic equation, 8v2 + 8 = -11v, have?
Answer:
Complex roots
Step-by-step explanation:
Given
[tex]8v^2 + 8 = -11v[/tex]
Required
The type of solution
Rewrite as:
[tex]8v^2 +11v+ 8 = 0[/tex]
To determine the type of solution, we simply calculate the discriminant (D)
[tex]D = b^2 - 4ac[/tex]
Where
[tex]a = 8;\ \ \ b =11\ \ \ c = 8[/tex]
So, we have:
[tex]D = 11^2 - 4 * 8 * 8[/tex]
[tex]D = 121 - 256[/tex]
[tex]D = -135[/tex]
The above value implies that:
[tex]D<0[/tex]
When [tex]D<0[/tex], the solution of the equation is: complex roots
A tower is known to be 60 meters high. A man using a theodolite stands some distance away from the tower and measures its angle of elevation as 38°. How far away from the tower is he if the theodolite stands 1.5 meters above the ground
Write the ones digit of the squares of the following numbers. (a) 21287
7
___________________
PLS HELP!
Two vertical angles measure (5x + 15)° and (3x + 27)°. Draw a diagram that illustrates the vertical angles. Solve for each angle.
Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
=========================================================
Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
---------
The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
whats the formula for volume
Answer:
Volume for cube: L x W x H
L= Length, W= width, H=height
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
Answer:
The answer e i think
Step-by-step explanation:
(-3, 5) is located in ____
a. Quadrant |||
b. Quadrant |
c. Quadrant |V
d. Quadrant ||
Answer:
D
Step-by-step explanation:
This is considered quadrant II
A 6-digit PIN number is selected. What it the probability that there are no repeated digits?
The probability that no numbers are repeated is
Write your answer in decimal form, rounded to the nearest thousandth.
Submit Question
Answer:
we got 10 digits to choose from for the first digit, 9 for the second and so on
[tex]10 \times 9 \times 8 \times 7 \times 6 \times 5[/tex]
scenarios that got no repeated digits.
the total number of possible PINs with 6 digits is
[tex]10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]
or just 10⁶
so the fraction we are looking for is the number of valid states decided by all possible states.
[tex] \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5}{ {10}^{6} } [/tex]
=0.1512
rounded to the nearest thousandth it's
0.151
(actually, I didn't expect the probability to be around 15 percent)
hope it helps. asked question whenever you like
kind regards
Alex
On a Ford assembly line, each worker
A.) moved from station to station.
B.) was responsible for several different tasks.
C.) performed the same task over and over.
D.) built at least one car each day.
Answer:
d
Step-by-step explanation:
Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.
Answer:
90
Step-by-step explanation:
18 out of 30 watched tv
150/30 = 5
18/30 = (18 * 5)/(30 * 5) = 90/150
Answer: 90
is this an example of direct variation? f(x)=2xy
Answer:
Yes, it is:
Step-by-step explanation:
Given
[tex]f(x) =2xy[/tex]
Required
Determine if it is a direct variation
A direct variation is represented as:
[tex]f(x)\ \alpha\ x[/tex]
Express as equation
[tex]f(x) = kx[/tex]
Compare [tex]f(x) = kx[/tex] to [tex]f(x) =2xy[/tex]
[tex]k = 2y[/tex]
Hence, it is a direct variation
The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities
Answer:
Step-by-step explanation:
Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?
✔ y = 160/x
What does the number 160 represent in the rational function that models the situation?
✔distance, in miles, between the cities
amount of fuel, in gallons, used by the train
time, in minutes, needed to travel between the cities
Answer: NOTE Pictures Are not in order! Make sure you check page number.
Step-by-step explanation:
On page 6 the answers are ”C” and ”5lbs”
On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.
On page 8 the answers are : < Just copy paste this below.>
“Based on the calculation, they should purchase the second television as the cost is cheaper.
Based on the information given in the question, the cost of the first television will be:
= $330 + ($14 × 8)
= $330 + $102
= $442
The cost of the second television will be:
= $369 + ($9 × 8)
= $369 + $72
= $441
Therefore, the second television is cheaper.”
^
<Just copy paste this. > [Then check. “A,B,C,”.]
On page 9 the answer is “ D “.
Find the angle(s) of intersection between the equations f (x) = x^2 + 2x + 1 and g(x) = 1.
There could be more that one answer
18.4
26.6
71.6
63.4 (already know that this is definitely one of the options)
Answer:
seems to be the same as the other angle
Step-by-step explanation:
i use desmos for these graphs btw
a train moving at the rate of 50 km per hour in struck by a stone moving with a velocity of 40 km above are making an angle of 60 degree with the direction of the train find the velocity with which the stone appears to an observed in the train to strike
the train
Answer:
Step-by-step explanation:
the pidgeon is flying east
Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]
Given:
In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]
[tex]156^\circ+m\angle C=180^\circ[/tex]
[tex]m\angle C=180^\circ-156^\circ[/tex]
[tex]m\angle C=24^\circ[/tex]
We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.
WILL MARK BRAINLIEST PLEASE HELP
a survey of boys and girls in second grade was conducted asking whether or not they like pizza. The partially completed two-way table shows results of the survey. How many boys were included in the survey?
Step-by-step explanation:
answer is in the above photo
there are 29 boys total
21.5 sq. Cm
43 sq. Cm
100 sq. Cm
68.6 sq. Cm
[tex] \large \boxed{ \boxed{ \mathrm{21.5 \: \: cm {}^{2}} }}[/tex]
Solution :By Observing the Above figure, we can conclude that the area of shaded region is equal to the Area of Square minus the sum areas of two equal semicircles (since their diameters are equal)
let's solve for area of square :
[tex]\longrightarrow \: \mathrm{side {}^{2} }[/tex]
[tex]\longrightarrow10 {}^{2} [/tex]
[tex]\longrightarrow \mathrm{100 \: cm {}^{2} }[/tex]
Now,
Radius of the both semicircles measure :
[tex]\longrightarrow \dfrac{10}{2} [/tex]
[tex]\longrightarrow5 \: cm[/tex]
now, let's solve for their area
[tex] \longmapsto 2 \times \dfrac{\pi {r}^{2} }{2} [/tex]
(Since, there are two semicircles)
[tex]\longrightarrow3.14 \times 5 \times 5[/tex]
[tex]\longrightarrow78.5 \: cm {}^{2} [/tex]
Area of Shaded region = Area of Square - Area of Semicircles, that is
[tex]\longrightarrow100 - 78.5[/tex]
[tex]\longrightarrow \mathrm{21.5 \: cm {}^{2} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: it \: helps \: you \: }}{\orange{.....}}}}}[/tex]
can someone PLEASE help me solve this equation ? due soon
[tex]\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}[/tex]
We know that : (a - b)(a + b) = a² - b²
[tex]\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}[/tex]
We know that : 1 - sin²x = cos²x
[tex]\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}[/tex]
[tex]\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}[/tex]
[tex]\implies \sf{3tanx + 7 = 2sec^2x}[/tex]
We know that : sec²x = 1 + tan²x
[tex]\implies \sf{3tanx + 7 =2(1 + tan^2x)}[/tex]
[tex]\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}[/tex]
[tex]\implies \sf{2tan^2x - 3 tanx - 5 = 0}[/tex]
[tex]\implies \sf{2tan^2x - 5tanx + 2tanx - 5 = 0}[/tex]
[tex]\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}[/tex]
[tex]\implies \sf{(tanx + 1)(2tanx - 5) = 0}[/tex]
[tex]\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }[/tex]
UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?
Answer:
604,800
Step-by-step explanation:
10*9*8*7*6*5*4
If the triangles are similar which are true
Answer:
b
Step-by-step explanation:
if the given ordered pair equal then find value of x and y
(3x+5)=(x+2)
and (4y+7)= (y+3)
Answer:
3x+5 =x+2
3x-x=2-5
2x= –3
x=-3/2
4y+7=y+3
4y–y =3-7
3y=–4
y= —4/3
What’s the ratio of 20 to 6
Answer:
333..%
Step-by-step explanation:
Trig how do you do I do not know
9514 1404 393
Answer:
a) 2π radians
b) 10π inches
c) 5/4π inches per minute
Step-by-step explanation:
The formulas are fairly straightforward. Use the given values in each.
a) θ = ωt
θ = (π/4 radians/min)(8 min) = 2π radians
__
b) s = rθ
s = (5 in)(2π radians) = 10π in
__
c) v = s/t
v = (10π in)/(8 min) = 5/4π in/min
Find the value of x to the nearest tenth.
Answer:
[tex]base = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{25} = 5 \\ x = \sqrt{ {6}^{2} - {5}^{2} } \\ x = \sqrt{11} \\ x = 3.3[/tex]
HELP THIS IS FOR MY FINAL GRADE
Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?
Answer:
Ida makes $ 6960 in 5 weeks.
Step-by-step explanation:
Let the profit of the first week is p.
p = $ 600
Total profits of the five weeks
= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)
= 11 p + 0.6 p
= 11 x 600 + 0.6 x 600
= 6600 + 360
= $ 6960
So, Ida makes $ 6960 in 5 weeks.
Which number is GREATEST?
0.27
0.046
0.297
0 0.3
Answer:
0.3
Step-by-step explanation:
Go left to right for each digit, which one is greater. They all have a decimal so for right now we can’t eliminate any. Next digit we two 2s a 0 and a 3. Whch number is greater? The three! So the greatest number is 0.3.
What is 25% of 24?
What is 15% of 60?
9 is what percent of 72
Answer:
6
9
6.48
Step-by-step explanation:
this is the easiest way to solve for percentage:
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex] Where all the percents (except 100) would go in part
and the whole number would go in whole
[tex]\frac{25}{100} =\frac{?}{24}[/tex] Then multiply 24 × 25 ÷ 100 = 6
[tex]\frac{15}{100} =\frac{?}{60}[/tex] Multiply 60 by 25 then divided by 100 = 9
Then for the last one 9 is what percent of 72
all we have to do is multiply 9 and then convert 72 into a decimal (0.72)
Then 9 × 0.72 = 6.48
Answer:
6.48
Step-by-step explanation:
you have to had the left then divide the right
A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.
What is the probability that the sum is less than 6?
Answer:
4equal to plus 5 eul is to be 9
resuelve la siguiente ecuación
x2+40=100
pregunta:x2+40=100
resultado:x=30
Step-by-step explanation:
the anwer is x=30......
a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east
Answer:
26.6degrees
Step-by-step explanation:
Given
percent grade through north = 10% (opposite)
percent grade through east = 20% (adjacent)
Get the direction
Using the SOH CAH TOA identity
tan theta = opp/adj
tan theta = 10/20
tan theta = 0.5
theta = arctan (0.5)
theta = 26.6degrees
Hence the required angle is 26.6degrees
