Answer: 7. y = 2 sin (2x) - 3
[tex]\bold{8.\quad y=sin\bigg(8x + \dfrac{8}{\pi}\bigg)}[/tex]
Step-by-step explanation:
The general form of a sine equation is: y = A sin (Bx - C) + D where
Amplitude = |A|Period (P) = [tex]\dfrac{2\pi}{B}[/tex]Phase Shift = [tex]\dfrac{C}{B}[/tex]Vertical Shift = D (positive is up, negative is down)7. Given:
A = 2P = π = [tex]\dfrac{2\pi}{B}[/tex] → B = 2C = 0 (none)D = -3--> y = 2 sin (2x) - 3
8. Given:
A = 1P = [tex]\dfrac{\pi}{4}[/tex] = [tex]\dfrac{2\pi}{B}[/tex] → B = 8[tex]\text{Phase Shift = }-\pi = \dfrac{C}{8}\implies C = -8\pi[/tex]D = 0 (none)[tex]\implies y=sin\bigg(8x + \dfrac{8}{\pi}\bigg)[/tex]
Can someone please check this?
Answer:
Your answers are correct.
Step-by-step explanation:
The equality will be true for odd multiples of π/4, so the last two choices will not show the expression to be not an identity.
There are 18,076 books in our public library. How should this number be written in expanded form? A) 10,000 + 8,000 + 70 + 6 B) 10,000 + 8000 + 700 + 6 C) 18,000 + 700 + 60+ 0 D) 18,000 + 70 + 60 + 0
Answer:
A) 10,000 + 8,000 + 70 + 6
Step-by-step explanation:
Write one digit at a time, with the others shown as zero. The sum of those numbers is the expanded form.
___
There are other ways to write a number in expanded form. One I like uses exponents to show the place value.
1×10⁴ +8×10³ +0×10² +7×10¹ +6×10⁰
Understanding this form can help you write the number in scientific notation.
Help with slope intercept!
It the second equation. I used subsitution to find that out.
The second one y = 1/2x + 3/4 is the correct answer. I first graphed the two points then started graphing the equations to find which line went through those two points.
The triangles are similar. What is the value of x? Enter your answer in the box. X=
[tex] \frac{4x + 12}{32} = \frac{15}{8} \\ ( = )32x + 96 = 480 \\ ( = )x = 12[/tex]
Answer:
x = 12
Step-by-step explanation:
Since the triangles are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{4x+12}{15}[/tex] = [tex]\frac{32}{8}[/tex] = 4, thus
4x + 12 = 4 × 15 = 60 ( subtract 12 from both sides )
4x = 48 ( divide both sides by 4 )
x = 12
Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost to 6 parts potting soil. He wants to end up with 10 kilograms of mix.
how many kilograms of compost should Gabriel use?
Answer:
5/2 kg
Step-by-step explanation:
The ratio here is 2:6. 2 plus 6 is 8.
Then (2/8) times 10 kg represents the amount of compost needed; that comes to 20/8 kg, or 10/4 kg, or 5/2 kg.
Gabriel should use 2.5 kilograms of compost to create a 10-kilogram mix that has a ratio of 2 parts compost to 6 parts potting soil.
Gabriel is making a mixture for a special plant which requires a ratio of 2 parts compost to 6 parts potting soil. He aims to make 10 kilograms of this mix in total. To calculate the amount of compost he should use, we first have to find the total number of parts in the mix:
Add the parts of compost to the parts of potting soil: 2 parts (compost) + 6 parts (soil) = 8 parts (total).
Determine the weight of each part: 10 kilograms (total mix) / 8 parts = 1.25 kilograms per part.
Multiply the weight of each part by the number of parts for compost: 1.25 kilograms per part × 2 parts (compost) = 2.5 kilograms of compost.
Therefore, Gabriel should use 2.5 kilograms of compost for his special plant mix.
Who originated the metric system and when
Gabriel Mouton
Early development. Most historians agree that Gabriel Mouton, the vicar of St. Paul's Church in Lyons, France, is the “founding father” of the metric system. He proposed a decimal system of measurement in 1670.
To convert 360 inches to yards you would use the ratio 36 inches over 1 yard True Or False?
Answer:
False
Step-by-step explanation:
we know that
1 yard= 36 inches
To convert 360 inches to yards
Multiply
(360)*(1/36)=10 yards
therefore
You would use the ratio 1 yard over 36 inches
Answer:
false
Step-by-step explanation:
Hannah made 0.7 of her free throws in a basketball game. Abra made 9/10 of her free throws. Dena made 3/4 of her free throw. Who was the best shooter?
Abra is the best shooter because 9/10 is almost a 1 where 3/4 is .75.
What is (f ⋅ g)(x)?
f(x) = x^4 − 9
g(x) = x^3 + 9
(f ⋅ g)(x) =
Answer:
x⁷ + 9x⁴ - 9x³ - 81
Step-by-step explanation:
(f⋅g)(x) is just another way of writing f(x) ⋅ g(x).
f(x) ⋅ g(x)
(x⁴ - 9) (x³ + 9)
If you wish to simplify:
x⁷ + 9x⁴ - 9x³ - 81
A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 5% of 75%.
Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.
Will Mark Branliest, Please Help ASAP
Answer:
i)
The confidence interval is at 90%
ii)
The margin of error is 5%
iii)
The 90% confidence interval is (70%, 80%)
iv)
We are 90% confident that the average score of seniors in the field test is between 70% and 80%.
Step-by-step explanation:
i)
The confidence interval is at 90%
We are informed that the exam creator claims that on this particular exam, nine times out of ten, seniors will have an average score within 5% of 75%. This implies that we are 9 times out of 10 confident that seniors will have an average score within 5% of 75%.
The level of confidence is thus;
(9/10)*100 = 90%
ii)
The margin of error is 5% or equivalently 0.05
We are informed that the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 5% of 75%.
Since the average score is within 5%, the margin of error is 5%
iii)
A confidence interval is calculated using the formula;
point estimate ± margin of error
Our point estimate is 75%
Our margin of error is 5%
The 90% confidence interval is thus;
75% ± 5% = (70%, 80%)
iv)
The 90% confidence interval is interpreted as;
We are 90% confident that the average score of seniors in the field test is between 70% and 80%.
This is a confidence interval for the mean, the level of confidence is 90% and our confidence interval is (70%, 80%).
Find the slope of the line
Answer:
-4
Explanation:
The slope of the line intersects points that are 4 points below and one point to the right of the previous point. (-4/1) = -4
Answer:
-4
Step-by-step explanation:
The line goes through the points (-1,3) and (0,-1)
We can find the slope by using the formula
m = (y2-y1)/(x2-x1)
= (-1-3)/(0--1)
= (-1-3)/(0+1)
= -4/1
= -4
May someone help me out :)
Answer:
∠FIG = (47/2)° = 23.5° . . . . . rounds to 24°
Step-by-step explanation:
The value of x can be found from ...
72 = 3x+3 . . . . the central angle and the arc measure are the same
24 = x+1 . . . . . divide by 3
23 = x . . . . . . . .subtract 1
The measure of ∠FIG is half the difference of the arc measures FG and RZ, so is ...
m∠FIG = (1/2)(3x+3 - (x+2)) = (1/2)(2x +1) = x +1/2
m∠FIG = 23 1/2 . . . . degrees
_____
Perhaps you're supposed to round this to 24°.
What is the mean of the following set of numbers?
121, 347, 45, 21, 300, 614, 312, 333, 421
A. 312
B. no mean
D. 251.4
C. 279.3
Answer:
C. 279.3
Step-by-step explanation:
To find the mean of a set of numbers you have to add all of them together and divide them by how manys numbers there are
If we add all the numbers together it equals 2514
There are 9 numbers here
2514/9=279,333333
Therefore, the answer is C
The mean is the same as the average!
To find mean ...
add up all the numbers121+
347+
45+
21+
300+
614+
312+
333+
421
__________________
2,514
Then we divide by how many numbers there are total[tex]\frac{2,514}{9} = 279.33[/tex]
Final answer is D. (279.3)
Divide assume that no denominator equal zero. b^4/ 2a^2 divided by b^3/ a
Answer:
Step-by-step explanation:
Essentially, what you have is a fraction divided by a fraction. The rule there is to bring up the bottom fraction and then flip it to multiply. That would look like this:
[tex]\frac{b^4}{2a^2}[/tex]×[tex]\frac{a}{b^3}[/tex]
Now you can do some canceling out of like terms. There is a b^3 in the denominator and a b^4 in the numerator. You can take 3 b's out of 4, so the b^3 cancels completely out with the b^4, leaving only one b behind. The a in the numerator cancels with one of the a's in the a^2, leaving one behind. So the answer to this is:
[tex]\frac{b}{2a}[/tex]
Renee is playing a game with marbles and a spinner. The spinner has four sections: orange, black, purple, and white. The marbles are kept in a bag and come in three colors: orange, black, and purple. Renee first spins the spinner and then picks a marble from the bag without looking. What is the probability that the color of the marble matches the color on which the spinner lands? brainly
Answer:
[tex]\frac{1}{16}[/tex] Is the chance of the colours matching.
Step-by-step explanation:
The possibility of the spinner landing on an orange side is [tex]\frac{1}{4}[/tex]
and the possibility of the marble being orange is [tex]\frac{1}{4}[/tex] in this case you have to remember, in the fraction, you have 4 possibilities and 1 desirable outcome, when you have two dependant possibilities you have to multiply them:
[tex]\frac{1}{4} * \frac{1}{4}[/tex]
And the result of that multipliction is [tex]\frac{1}{16}[/tex] which is the probability of the marble and the spiner colours matching.
Answer:
Step-by-step explanation:
1/4
Triangles are formed in a cube by connecting three vertices.
Which triangles are right triangles? Check all that apply.
1. triangle AEG
2. triangle AEH
3. triangle DAE
4. triangle BFH
5. triangle GDH
6. triangle CFG
7. triangle DFH
8. triangle BCF
Answer:
B: triangle AEH
C:triangle DAE
E: triangle GDH
F: triangle CFG
H: triangle BCF
Step-by-step explanation:
just took the unit test hope it helps ;)
Right angle triangles are triangle AEG , triangle AEH , triangle DAE , triangle BFH , triangle CFG , triangle BCF .
Right angle triangle :
A Right triangle states that if one of the angles of a triangle is a right angle - 90º .
So , In the figure given below we get :
→ In triangle AEG : the angle between AE and AG is 90 ^ º .
→ In triangle AEH : the angle between AE and EH is 90 ^ º .
→ In triangle DAE : the angle between DA and AE is 90 ^ º .
→ In triangle BFH : the angle between BF and FH is 90 ^ º .
→ In triangle GDH : the angle at G , D and H is 60 ^ º .
→ triangle CFG : the angle between CG and GF is 90 ^ º .
→ triangle DFH : the angle between sides is not 90^ º .
→ triangle BCF : the angle between BC and BF is 90 ^ º .
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The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. The prism is 12 inches tall. What is the approximate lateral area of the prism? Round to the nearest whole number.
Answer:
The approximate lateral area of the prism is [tex]831\ in^{2[/tex]
Step-by-step explanation:
we know that
The lateral area of the prism is equal to
[tex]LA=PH[/tex]
where
P is the perimeter of the base of the prism
H is the height of the prism
Find the perimeter of the hexagonal base
Remember that the area of the hexagonal base is equal to
[tex]A=\frac{1}{2} P(a)[/tex]
where
P is the perimeter
a is the apothem
we have
[tex]A=346.41\ in^{2}[/tex]
[tex]a=10\ in[/tex]
substitute and solve for P
[tex]346.41=\frac{1}{2} P(10)[/tex]
[tex]P=346.41/5=69.282\ in[/tex]
Find the lateral area
[tex]LA=PH[/tex]
we have
[tex]P=69.282\ in[/tex]
[tex]H=12\ in[/tex]
substitute the values
[tex]LA=(69.282)(12)=831\ in^{2[/tex]
Answer:
831 In^3
Step-by-step explanation:
Edge 2020
Last one! I just need to know what the slope of the line in this graph is, ty!
The slope is 4/6 because its going up by 4 over by 6 .hope this helps
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0+4}{6-0}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
This dot plot shows scores on a recent math assignment.
Find the measures of central tendency and variability.
Mean:
Median:
Mode:
Range:
The mean is 7.7.
The range is 4.
The mode is 8.
The median is 8.
What are the measures of central tendency and variability?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(5 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 + 9 + 9 + 9) / 20
154 / 20 = 7.7
Mode is the number that occurs the most in the data set. The mode is 8.
Range is the difference between the highest number and the lowest number in the data set.
Range = 9 - 5 = 4
Median is the number at the center of the data set. The median is 8.
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Answer: The mean is 7.7.
The range is 4.
The mode is 8.
The median is 8.
Step-by-step explanation: I did the assignment.
Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase, 100, of the original number of responses, 80?
55%
80%
100%
125%
Answer:
80 * 80% = 64 So it's not A
80 * 55% = 44 so it's not B
80 * 100% = 80 so it's not C
80 * 125% = 100 so D is your answer
Step-by-step explanation:
Answer:
125%
Step-by-step explanation:
Given,
Responses on first day or original responses = 80
While responses on second day or final responses = 180,
Thus, the percentage increase in the responses
[tex]=\frac{\text{ final responses- original responses}}{\text{original responses}}\times 100[/tex]
[tex]=\frac{180-80}{80}\times 100[/tex]
[tex]=\frac{10000}{80}[/tex]
[tex]=125\%[/tex]
Hence, fourth option is correct.
(GEOMETRY) What are three of the five ways to prove triangles are similar?
Step-by-step explanation:
There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
SAS (side, angle, side) ...
ASA (angle, side, angle) ...
AAS (angle, angle, side) ...
HL (hypotenuse, leg)
Answer:
HL, ASA, SAS
Step-by-step explanation:
Hypotenuse Leg
Angle, side, angle
side, angle, side
Please please help!!!
Answer:
1/2
Step-by-step explanation:
cos(θ) = √(1 -sin(θ)²) = √(1 -3/4) = √(1/4)
cos(θ) = 1/2
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHR/BEST ANSWER.
sorry for the screen
Answer:
The answer is A I just looked it up on mathaway and it is never wrong
Step-by-step explanation:
Standard form always has the largest coefficients first
Answer:
A
Step-by-step explanation:
When putting polynomials into standard form, the highest degree goes first.
(for example 5x³ + x² + 8x + 9)
A math test has 12 multiplication problems and 24 division problems. What is the ratio value of multiplication problems to division problems? [Type your answer as a fraction in simplest form, and use / for the fraction bar.
Answer:
1/2
To simplify 12/24 you have to find a common multiple. a common multiple is 12. you see how many times 12 goes into each number. 12/12 is 1 and 24/12 is to. therefore 1/2 is the correct answer
The ratio of multiplication problems to division problems on the given math test is 1/2.
Explanation:To answer the question, you need to set up a ratio between the number of multiplication problems and the number of division problems. In this case, you have 12 multiplication problems and 24 division problems.
The ratio would be set up as 12 (multiplication problems) to 24 (division problems), written as 12/24 in fractional form. However, we need to reduce this to its simplest form. Both 12 and 24 can be divided by 12, simplifying the ratio to its simplest form of 1/2.
Therefore, the ratio of multiplication problems to division problems on this math test is 1/2.
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Please answer this multiple choice question CORRECTLY for 30 points and brainliest!!
The area of one face would he h^2.
There are 6 faces, so the total surface area would be h^2 x 6
Replace total surface area with 2.16, so you now have:
2.16 = h^2 x 6
Now we can solve for h.
Divide both sides by 6:
h^2 = 2.16/6
Take the square root of both sides:
h = √2.16/6
The answer is A.
Given circle P, which of the following options best represents the mACD
a. 60 degrees
b. 120 degrees
c. 180 degrees
d. 240 degrees
منوال 60 is the answer you get ألب
Answer:
180
Step-by-step explanation:
In which direction does the graph of the function shown below open?
[tex]f(x) = 2x^2+5x-4[/tex]
A. Down
B. Left
C. Right
D. Up
Answer:
D. Up
Step-by-step explanation:
When a parabola has the form [tex]y=ax^2+bx+c[/tex] , It is vertical (opens up or down).
Because the variable "x" is squared.
If "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.
In this case you have the quadratic function:
[tex]f(x) = 2x^2+5x-4[/tex]
Which can be rewritten as:
[tex]y = 2x^2+5x-4[/tex]
Therefore, it is vertical, because it has the form: [tex]y=ax^2+bx+c[/tex]
You can observe that the value of "a" is:
[tex]a=2[/tex]
Then, since "a" is positive, the parabola opens up.
⊙X≅⊙Y and RQ = 35.6. Identify ED, rounded to the nearest tenth.
Answer:
Your answer is 7.0
Step-by-step explanation:
If the circles are congruent and RQ measures 35.6, then so does CB. That means that half of it (the radius XD which measures 26 cuts the length of CB in half) is 17.8. If the base of that right triangle is 17.8 and the hypotenuse is 26, then Pythagorean's Theorem tells us that the height of the triangle is 18.95151709. Subtract that from the radius length of 26 and you'll have the length of DE
The value of length ED would be, 7.0
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
⊙X≅⊙Y
And, Length of RQ = 35.6
Now, We get;
⇒ CB = RQ = 35.6
Hence, EB = 1/2CB
= 1/2 (35.6)
= 17.8
Applying Pythagoras theorem,
⇒ XE² = XB² - EB²
⇒ XE² = 26² - 17.8²
⇒ XE² = 19
Thus, The length of ED is,
⇒ ED = XD - XE
⇒ ED = 26 - 19
⇒ ED = 7.0
Therefore, The value of length ED would be, 7.0
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Which type of climate is the most common in Australia's Outback?
A) Dry desert climate
B) Tropical climate
C) Humid and rainy climate
D) Mild climate with seasonal monsoons
OOPS i put it as mathematics IM SO SORRY!
Please answer QUICK if can!
i think its letter A. The outback seems very dry and desert like
Answer:
Dry desert
Step-by-step explanation:
did the quiz
The area of an oil spill is doubling in size every day. At the start of the day on May 1, the oil spill covers 20 square meters. During which day will the area exceed 500 square meters?
Answer:
May 6
Step-by-step explanation:
20 x 2 = 40 40 x 2 = 80 80 x 2 = 160 x 2 = 320 320 x 2 = 640 after 5 days on may 6 it will surpass 500 meters.
The oil spill, doubling in size each day from an initial 20 square meters, will exceed 500 square meters on the 6th of May.
Explanation:Based on the information provided, let's calculate how long it will take for the oil spill to exceed 500 square meters if it doubles in size each day starting from an initial size of 20 square meters. On May 1, the spill is 20 square meters. On May 2, it would be 40 square meters (20*2). If we continue this pattern, we can find the day the spillage area will exceed 500 square meters:
May 3: 80 square metersMay 4: 160 square metersMay 5: 320 square metersMay 6: 640 square meters
Therefore, the area of the oil spill exceeds 500 square meters on May 6.
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