Answer:
The answer is (h).
Step-by-step explanation:
When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.
The function becomes
y = 2^(x+4) -2.
Finally, you shift -2 to the same side as y.
This becomes
y+2 = 2^(x+4) which is (h)
Arianna has a coin collection. She keeps 4 of the coins in her box, which is 10% of the
collection. How many total coins are in her collection?
Answer: 40 coins. Doesn't your profile say college?
What choice is equivalent to the product below?
Answer:
Option C is the correct answer
[tex] {\frac{3 }{12}} [/tex]
Step-by-step explanation:
[tex]\huge \sqrt{\frac{3}{16}} . \sqrt{\frac{3}{9}} [/tex]
[tex] \huge =\sqrt{\frac{3\times 3}{16\times 9}} [/tex]
[tex]\huge =\sqrt{\frac{9}{144}} [/tex]
[tex] \huge =\sqrt{\frac{3^2 }{12^2 }} [/tex]
[tex]\huge ={\frac{3 }{12}} [/tex]
If f(x)=x^2 is vertically stretched by a factor of 9 to g(x). What is the equation of g(x)?
Given:
The function is:
[tex]f(x)=x^2[/tex]
This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
[tex]g(x)=kf(x)[/tex] ...(i)
If [tex]0<k<1[/tex], then the function f(x) compressed vertically by factor k.
If [tex]k>1[/tex], then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting [tex]k=9[/tex] in (i), we get
[tex]g(x)=9f(x)[/tex]
[tex]g(x)=9x^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the required function is [tex]g(x)=9x^2[/tex].
I’ll give brainliest
Answer:
d.18
Step-by-step explanation:
as x goes up by 1, y goes up 18
According to this diagram, what is sin 28°?
62
17
00
289
90°
15
A.
15
17.
B.
17
15
c.
17
D. 8
17
E. 15
8
Answer:
option d is correct
Step-by-step explanation:
taking 28 degree as reference angle . Then
sin 28 = opposite/hypotenuse
sin 28 = 8/17
The value of sin 28° is 8/17.
How to estimate the value of sin 28°?In the right triangle of the figure
Let, x be the opposite side angle of 28°
and y be the hypotenuse
[tex]$\sin \left(28^{\circ}\right)=\frac{x}{y}$[/tex]
We have,
x = 8 units and
y = 17 units
Substitute the values of x and y, we get
[tex]$\sin \left(28^{\circ}\right)=\frac{8}{17}$[/tex]
Therefore, the correct answer is option D. 8/17.
To learn more about right angle triangle in trigonometry
https://brainly.com/question/3763984
#SPJ2
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
60 units
11 units
90 units
61 units
Answer:
90
Step-by-step explanation:
help me I got 25 missing assignments
Answer:
think it's the last one
Step-by-step explanation:
sorry if i'm wrong
Consider the graph of g(x) = –2x2 + 8x – 10. Identify the y-intercept, the vertex, and the zeros of the function.
Question 10 options:
A)
y-intercept: (0, 10); vertex: (–2, 2); zeros: none
B)
y-intercept: (0, –10); vertex: (2, –2); zeros: (0,0) and (4,0)
C)
y-intercept: (0, –10); vertex: (2, –2); zeros: (0,0)
D)
y-intercept: (0, –10); vertex: (2, –2); zeros: none
9514 1404 393
Answer:
D) y-intercept: (0, -10); vertex: (2, -2); zeros: none
Step-by-step explanation:
The graph does not cross the x-axis, so there are no real zeros. It crosses the y-axis at (0, -10), so that is the y-intercept.
These observations match choice D.
What is mortgage of a 400000.00 loan at 6% 30 year fixed
9514 1404 393
Answer:
$2398.20
Step-by-step explanation:
Perhaps you want the monthly payment. It is given by the amortization formula ...
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual interest rate, n is the number of payments per year, t is the number of years.
Your monthly payment will use P = 400,000; r = 0.06, n = 12, t = 30.
A = $400,000(0.06/12)/(1 -(1 +0.06/12)^(-12·30)) ≈ $2398.20
Is this correct? If not which is correct?
find the slope of the line between (1,4) and ( 3 , 10 )
Answer:
3
Step-by-step explanation:
slope of line = gradient of line
= [tex]\frac{10-4}{3-1}[/tex]
= 3
What is the completely factored form of this expression? 9x^3y - 100xy
Answer:
xy(3x+10)(3x-10)
4 in.
7 in.
O 124 6 in
87.9 in
O 97.5 in
O 78.9 in
5
6
7
Answer:
v=3.14 r 2 h
3.14 (2)(2)(7)= 87.9
Answer:
The answer for the Volume is 87.9 to 1d.p or 88in³ to the nearest tenth
Step-by-step explanation:
Volume of a cylinder =pir²h
r=d/2=4/2=2in
V=3.14×2²×7
V=3.14×4×7
V=87.92in³
V=87.9in³ to 1d.p
V=88in³ to the nearest tenth
max stores his paintbrushes in a box shaped like a rectangular prism. he can fill the bottom of the box with 48 one inch cubes. if the box is 4 inches tall,what is the volume
Answer:
192 inches^3 or 192 cubic inches
Step-by-step explanation:
48 one inch cubes means the base area is 48inches^2. 48inches^2 multiplied by 4 inches = 192inches^3
Answer: 192 square inches
Step-by-step explanation: it says that he can fill the bottom of the box with 48 once inch cubes, and since the cubes are an inch tall, the cubes would cover an inch of the box's height. The box's total height is 4, so you would need to multiply 4 by 48 to get the total number of cubes that can fit in the box, aka the volume of the box.
b. Why does using FOIL on polynomial expressions match so closely to integer
multiplication? Look closely at how the usual method works.
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?
Given :
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.
To Find :
What angle of depression does the airplane need to use to reach the runway?
Solution :
Let, angle of depression is [tex]\theta[/tex] .
So,
[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]
Hence, this is the required solution.
Big math test I need help if I don’t I fail
How many different 4-digit PIN codes are there that only include the digits 5, 9, 6 and 2?
Answer:
256
Step-by-step explanation:
The digits can only be one of four numbers.
4*4*4*4 = 4^4 = 256
Here are five number cards.
2
5
7
8.
CO
One of the cards is removed and the mean average
of the remaining four number cards is 6
+
Which card was removed?
You must show your working.
+
Note: Please make sure your final answer says card ...
EC
brate Geb
Answer:
um I think that it could be 7 are 2
If point A, having
coordinates (p, 3) and
point B, with coordinates
(6, p) lie on a line having
a slope of 2, what is the
value of p?
gradient or slope=y2 -y1
x2 - x1
so for A, p is x1 and 3 is y1..
For B, 6 is x2 and p is y2
2= p - 3
6 - p
2 ( 6 - p) = p - 3
12 - 2p = p - 3
-2p + p = -3 - 12
-p = - 15
p = 15
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 23 f/s. The ball's height h (in feet) after t seconds is given by the following. Find all values of t for which the ball's height is 12 feet.
Answer:
Time taken = 0.85 and 0.59 (Approx.)
Step-by-step explanation:
Given:
Initial height = 4 feet
Initial upward velocity = 23 f/s
Equation;
h = 4 + 23t - 16t² for h = 12 feet
Find:
Time taken
Computation:
h = 4 + 23t - 16t² for h = 12 feet
12 = 4 + 23t - 16t²
16t² -23t + 8 = 0
t = [-b±√b²-4ac] / 2a
t = [23±√23²-(4)(16)(8)] / 2(16)
t = [23±√529-512] / 32
t = [23±4.12]/32
Time taken = 0.85 and 0.59 (Approx.)
What is the common ratio of the sequence −8, 12,−18, 27, ...
Answer:
-3/2
Step-by-step explanation: Divide 12 by 8 and you get 3/2. Since the sign alters, the ratio is negative.
Suppose the speeds of cars along a stretch of I-40 is normally distributed with a mean of 70 mph and standard deviation of 5 mph. Use the 68-95-99.7 rule to answer the following questions.
(a) Approximately what percent of cars are travelling between 65 and 75 mph? percent
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit? percent
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph? (Answer to one decimal place.)
(d) What percent of cars are traveling at a speed greater than 80 mph? (Answer to one decimal place.) percent
(e) 95% of cars are traveling between what two speeds? (Answer to two decimal places) Between mph and mph
Answer:
a) 68%.
b) 84%.
c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
e) Between 60 mph and 80 mph.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 70 mph, standard deviation of 5 mph.
(a) Approximately what percent of cars are travelling between 65 and 75 mph?
70 - 5 = 65
70 + 5 = 75
Within 1 standard deviation, so approximately 68%.
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?
The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.
65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.
0.68*50% + 50% = 34% + 50% = 84%.
84%.
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?
80 = 70 + 2*10
2 standard deviations above the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:
Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
(d) What percent of cars are traveling at a speed greater than 80 mph?
Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.
(e) 95% of cars are traveling between what two speeds?
Within two standard deviations of the mean.
70 - 2*5 = 60 mph
70 + 2*5 = 80 mph.
Between 60 mph and 80 mph.
Solve 3/4w≤24 Graph the solution
Answer:
w<32
Step-by-step explanation:
In triangle RST, mZR> m_S+ m2T. Which must be true of triangle RST? Check all that apply.
O mzR > 90°
OmZS + m2T < 90°
Om S = m_T
mZR>m_T
mZR > m_S
mzS>m_T
Answer:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
Step-by-step explanation:
Here, RST is a triangle
Therefore, m∠R+m∠S+m∠T = 180° ⇒ m∠S+m∠T = 180° - m∠R
Given: m∠R > m∠S + m∠T
⇒ - m∠R < - (m∠S + m∠T) (by multiplying -1 on both sides)
⇒ 180° - m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)
⇒ m∠S+m∠T < 180° - (m∠S + m∠T)
⇒ m∠S+m∠T+m∠S+m∠T < 180° (by adding m∠S + m∠T on both sides)
⇒ 2(m∠S+m∠T) < 180°
⇒ m∠S+m∠T < 90°
⇒ m∠R > 90° ( because m∠R+m∠S+m∠T=180° )
Again, m∠R > m∠S + m∠T
⇒ m∠R > m∠S and m∠R > m∠T
Thus, Option first, second, fourth and fifth are correct.
Which is a net for a cube
Answer:
wy m by that??!???? im confused
Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?
Answer:
Chase would be 24 years old
Rachel is solving the system of equations below by using the elimination method. Which of the following steps could she use? 7x-21y=14. 2x+3y=11
Answer:
[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]
A planet rotates through one complete revolution every 26 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 26 hours. Find the angular velocity of a person standing on the equator.
Answer:
23.5 degree stands tap of the floor
Eight less than the product of three and a number is twenty two
Answer:
let x represent the missing number
3x-8=22
3x=22+8
3x=30
3x/3=30/3
x=10
Step-by-step explanation:
hope this is helpful
Answer:
3x - 8 = 22
Step-by-step explanation:
always use x as "the number"
remember product means multiply!
8 less than the product of three and a number
3x - 8
lastly, "is 22"
"is" means equals
3x - 8 = 22
I hope this helps!!
