Answer:
By substituting the values of A, C, and D the equation modelling the function is;
g(x) = 3·sin(x - π/2) - 4
Step-by-step explanation:
From the given information, we have;
The vertical stretch of the sine function = 3 × The parent function
∴ A = 3
Given that the horizontal shift left = π/2 units, (from an online source with similar question)
The vertical shift down = 4 units
The given function, g is g(x) = A·sin(x + C) + D
Where;
A = The amplitude = The maximum displacement from the rest or equilibrium position = 3
C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)
D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)
Therefore, the equation modelling the function is;
g(x) = 3·sin(x - π/2) - 4
Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
shifted left, it will be positive inside the parentheses
PLSSS HELP IMMEDIATELY!!! ILL GIVE BRAINIEST!!! (if u provide a link, i’m not giving u brainiest!)
Answer: B. (2,1)
Step-by-step explanation:
its not c because if you look at R you see that it is going 4,3 not 3,4 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then the x-axis.
It's not D because if you look at Q you see that it is going 3,5 not 5,3 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then x-axis.
That's the same thing for A so your answer is b.
Answer:
B.......................
If the answer isn’t an integer express in simplest radical form
Answer:
[tex]x = \frac{20}{ \sqrt{3} } \\ y = \frac{40}{ \sqrt{3} } [/tex]
Step-by-step explanation:
[tex]for \: \: x \\ \tan(60) = \frac{20}{x} \\ \sqrt{3} = \frac{20}{x} \\ x = \frac{20}{ \sqrt{3} } \\ \\ for \: y \: \\ \sin(60) = \frac{20}{y} \\ \frac{ \sqrt{3} }{2} = \frac{20}{y} \\ \sqrt{3} \: y = 20 \times 2 \\ y = \frac{40}{ \sqrt{3} } [/tex]
I hope that is useful for you :)
Help . i need the answer quicckkkkkkk
Answer:
Simplifying
an = 8n + -7
Reorder the terms:
an = -7 + 8n
Solving
an = -7 + 8n
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Divide each side by 'n'.
a = -7n-1 + 8
Simplifying
a = -7n-1 + 8
Reorder the terms:
a = 8 + -7n-1
Find the surface area of a square pyramid with side length 6 mi and slant height 7 mi.
Answer:
total surface area (TSA) = [tex]2bs[/tex] + [tex]b^{2}[/tex]
length = 6 mi
slant height = 7 mi
∴ TSA = 2 × 6 × 7 + [tex]6^{2}[/tex]
= 84 + 36
= 120
The surface area of the square pyramid is 120 sq. mi.
Given:
side length (s) = 6 mi
slant height (l) = 7 mi
*image of a typical square pyramid is shown in the attachment below.
Recall:
Formula for surface area of square pyramid (SA) = [tex]A + \frac{1}{2} Pl[/tex]
Where,
[tex]A =[/tex] area of the base = [tex]s^2 = 6^2 = 36[/tex] sq mi
[tex]P =[/tex] perimeter of the base = [tex]4(s) = 4\times 6 = 24[/tex] mi
[tex]l =[/tex] slant height = 7 mi
Plug in the values
[tex]SA = 36 + \frac{1}{2}\times 24\times 7\\SA = 36 +84\\SA = 120[/tex]
The surface area(SA) of the square pyramid is 120 sq. mi
Learn more about surface area of a square pyramid here:
https://brainly.com/question/8830629
What is the value of 24/25 divided by 4/5
Answer:
1.2
Hope it helps :)
[tex]\frac{24}{25}*\frac{5}{4}\\\\\\=\frac{6}{5}[/tex]
Can you construct a triangle that has side lengths 4 m, 5 m, and 9 m? yes no
Answer:
Yes
Step-by-step explanation:
A triangle can have any side lengths as long as they all touch to make a triangle
Answer:
yes
Step-by-step explanation:
you just had to divide then subtract
universal pet place.
[tex](2 \div 2 \sqrt{2) ^{2} } [/tex]
what is the answer
Brian owes his mom $18 if his mom agrees to give him $30 for cleaning the house how much money will he have after he pays off his debt
Answer:
Brian will have $12 dollars left.
Step-by-step explanation:
30 - 18 = 12
Which expression represents the length of the spring after Gerard removes some weight? Gerard adds weight to the end of the hanging spring D-- The song stretches to a length of p centimeters. Gerard removes some weight and the song moves up by a 8 E-p) - 9 D-9--
Answer: p+(-q)
Step-by-step explanation:
What is 4x+6<22 ? I fleet getting incorrect answers
Answer:
The answer is x < 4
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex]4x < 22 - 6[/tex]
2) Simplify 22 - 6 to 16.
[tex]4x < 16[/tex]
3) Divide both sides by 4.
[tex]x < \frac{16}{4} [/tex]
4) Simplify 16/4 to 4.
[tex]x < 4[/tex]
Therefor, the answer is x < 4.
pls help asap this is too hard helpme
Solve the stimultanious equations
Answer:
x = -1 /2= -0.5 y = 15 /10= 1.5
HELP PLS
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?
Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. - Select your answer - - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012
Complete question :
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?
Answer:
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
Phat 2010 = 0.35
Phat 2012 = 0.41
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.
Sample proportion for 2010:
Phat = x / n
x = 315 ; n = 900
Phat = 315 / 900
Phat = 0.35
Sample proportion for 2012 :
Phat = x / n
x = 410 ; n = 1000
Phat = 410 / 1000
Phat = 0.41
I need help with this question can you guys help me
Answer:
$18.5
Step-by-step explanation:
You just add up all the costs and divide them by two and then you would get your answer
Simplify the ratio 7:21.
(OLD HW!!)
(TIPS FOR ALGEBRA TO PLS ^^)
Answer:
Simplified : 1:3
Step-by-step explanation:
7:21 is equal to 1:3
Also, for algebra tips. Algebra is literally practice. There aren't too many complicated equations or anything until you get into a higher math class so practicing problems is best.
Answer:
7:21 = 1:3
Tips for algebra...
just know the basics and related rules or theorams and practice as much as u can
good day mate
A store owner offers a discount of 20% off the regular price of all jackets. Jessica has a coupon that gives her an additional 5% off the discounted price. The original price of the jacket Jessica buys is $84. What is the price of the jacket after the discount and Jessica's coupon?
Answer:
21
Step-by-step explanation:
I haven't done this in a long time but this is what I know: the discount would overall be 25%. So, you set it up by .25(84) = 21. Therefore the jacket would cost $21.
I hope this is right and helps!
If x=(y+2)^2 and y= -7 then what is x
Answer:
X=25
Step-by-step explanation:
y+2=-7+2=5
[tex]5^{2} =25[/tex]
In ΔLMN, l = 32 inches, m = 37 inches and n=46 inches. Find the area of ΔLMN to the nearest 10th of an square inch.
Answer:
587.9
Step-by-step explanation:
Delta math
How many ounces are in 2 1/2 gallons?
Joshua has 3.95 pounds of candy. He is placing the candy into 5 equal size bags. How much candy will be in each bag?
Witch 3 ingredients will add up to $14.40? (Only one bowl can be chosen, bowls are required)
Without looking, sam took a colored pencil from his case, which has 1 black, 2 red, 3 blue, 2 yellow, and 1 orange pencil. What's the probability he chose a blue one?
Answer:
3/9 or 1/3
Step-by-step explanation:
SQUARE ROOT OF 21316 WITH STEP BY STEP SOLUTION THANKS
Answer:
146
Step-by-step explanation:
[tex] = \sqrt{21316 } [/tex]
[tex] = \sqrt{4 \times 5329} [/tex]
[tex] = 2 \sqrt{5329} [/tex]
[tex] = 2 \sqrt{73 \times 73} [/tex]
[tex] = 2 \times 73[/tex]
[tex] = 146[/tex]
A drug store chain provides an app to its customers to track their shopping habits. One statistic the app
tracks is the amount of money the customer saves by purchasing sale items. The company's sales
team pulls data from the previous year for a random sample of 50 customers. They find that the
mean amount of money saved by these customers in the previous year is $154 with a standard
deviation of $26.
(a) Construct a 99% confidence interval for the true mean amount of money saved by all customers
in the previous year by purchasing sale items.
(b) The sales team would like to repeat this study with the goal of obtaining a smaller margin of
error. Propose two changes that would decrease the margin of error. What are potential
drawbacks if those changes are implemented?
Answer:
a) CI ( 99% ) = ( 145,45 : 162,55)
b) b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI let´s say to 95 % but in that case
you will increase de error type I
Step-by-step explanation:
a) CI = 99 % α = 1% α = 0,01
From z-table z(c) ≈ - 2,325 |z(c)| ≈ 2,325
CI = ( μ₀ ± z(c) * σ/√n )
CI = ( 154 - (2,325) * 26/√50 ; 154 + (2,325) * 26/√50 )
CI = ( 154 - 8,55 ; 154 + 8,55
CI ( 99% ) = ( 145,45 : 162,55)
b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI let´s say to 95 % but in that case
you will increase de error type I
Pls help I’m very confused (will mark brainliest)
I'll give you the brainliest
Answer:
>
Step-by-step explanation:
sqrt{17} > sqrt{11}
Answer: >
Step-by-step explanation: the square root of 17 is going to be larger than the square root of 11. since you add 3 to both equations, that is all you have to worry about.
Find the surface area of a cubical planter
measuring 30 inches on a side.
30 x 30 = 900
This is the surface area of one side
900 x 6
Multiply by 6 to get the surface area of all 6 sides of the cube
900 x 6 = 5400
what is the slope and y intercept of the line with equation 3x-6y=7
Answer:
x intercept = (7/3, 0)
y intercept = (0, -7/6)
slope = 1/2
Step-by-step explanation: