Answer:
4
Step-by-step explanation:
The amplitude of the sin graph is 4. Sin graphs are written as [tex]y=A sin(B(x-D))+C[/tex] where A is the amplitude. In the equation above 4 is multiplied in front of sin, which shows it is the amplitude. Since 4 is the amplitude the graph will have a range of [-4,4].
A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descends
in the first 4 minutes. How many feet must the submarine descend in the fifth minute?
Submarine must descend 17 feet in the 5th minute.
What is the average of the data?
Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set. A frequency table of data or raw data can both be used for the calculation.
Let the distance descended by submarine in 5th minute = x feet
Average distance descended by the submarine
= (Total distance distended/ Duration or time)
= (6 + 8 + 14 + 15 + x) / 5
= (43 + x) / 5
Statement given in the question → "Submarine must descend at an average rate of at least 12 feet per minute"
So the inequality for the statement will be,
(43 + x) / 5 ≥ 12
43 + x ≥ 60
x ≥ 17
Therefore, submarine must descend 17 feet in the 5th minute.
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Sophie enjoys running on the indoor track. Yesterday Sophie ran a certain number of laps on the track. Today she ran four times as far. She ran 20 laps today. How far did Sophie run on the track yesterday?
Do the ratios 5/15 and 1/3 form a proportion?
Answer:
Step-by-step explanation:
We will check if 5/15 and 1/3 are in proportion or not by cross-multiplication.
5/15 = 1/3
5*3 = 15*1
15 = 15
as the left-hand side is equal to the right side. So, these fractions are in proportion.
PLEASE HELP NOW IM BEGGING AND PLEADING PLEASE AND THANK YOU
Linear sequences & graphs 206 - Straight line graphs 1 Quiz 1 2 3 4 5 6 7 8 6 of 8 Use the table to work out the values of a , b , c , and d . x y = 5 − 3 x − 3 a − 2 11 − 1 b 0 5 1 c 2 d a = b = c = d =
The values of a, b, c and d are -5, -1, 3 and 5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is y=2x+1
Substitute (-3, a) in y=2x+1, we get
a=2(-3)+1
a=-6+1
a=-5
Substitute (-1, b) in y=2x+1, we get
b=2(-1)+1
b=-1
Substitute (1, c) in y=2x+1, we get
c=2(1)+1
c=3
Substitute (2, d) in y=2x+1, we get
d=2(2)+1
d=5
Therefore, the values of a, b, c and d are -5, -1, 3 and 5.
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"Your question is incomplete, probably the complete question/missing part is:"
Use the table to work out the values a, b, c and d.
x y=2x+1
-3 a
-2 -3
-1 b
0 1
1 c
2 d
HELP
Find the Axis of Symmetry
Answer:
Axis of symmetry= 3
Step-by-step explanation:
f(x)= 2x^2 +12x-4
f(x)=ax^2+bx+c
x=12/2(2)
x=3
f(x)= 2(3)^2+12(3)-14
f(x)= 2(9)+36-14
f(x)=18+36-14
f(x)= 54-14
y=40
6. Six people are running a race. In how
many different ways can they finish first and
second?
A. 2
B. 12
C. 30
D. 36
Answer:
a
Step-by-step explanation:
Answer:
a2
Step-by-step explanation:
I need help please thx God bless you
Answer:
A. 3/4 or .75
B. 5/6 or .83333
C. 11/12 or .91667
D. 1/20 or .05
Step-by-step explanation:
A. 1/2 + 1/4 = 3/4 or .75
B. 1/2 + 1/3 = 5/6 or .83333
a. 1/4 + 2/3 = 11/12 or .91667
b. 1/4 - 1/6 = 1/20 or .05
Sammies room is 20 feet long and 12 feet wide her parents want to cover the floor with tiles. If they choose to use tiles with with side 2 feet long how many tile would they need
Find the area of the room by multiplying the length by the width:
Area of room = 20 x 12 = 240 square feet.
Find the area of the tile: 2x 2 = 4 square feet.
To find the number of tiles divide the area of the room by the area of a tile:
240/4 = 60
They will need 60 tiles.
Answer:
120
Step-by-step explanation:
20*12=240
240/2=120
Jenna noted the prices for a bag of dog food at a number of online stores. The prices were $22, $9, $10, $19, $18, and $20.
Find the mean, median, and mode of the prices.
Which measure of center BEST describes this set of data. Explain your choice.
Answer:
Mean: 16.333333333333
Median: 18.5
Mode: 9,10,18,19,20,22
Step-by-step explanation:
Mean: Add all the terms together and divide your result by the amount of you there are. ((22+9+10+19+18+20) / 6)
Median- Organize the terms from least to greatest. When you find the middle of the terms you will get 18.5, look for what between 18 and 19.
Mode- Normally to find the mode you would order the terms from least to greatest, and then find which term occurs the most. But since all the terms occur once, it will be all of the terms.
Hi, please help (see image)
I need help on question b) and c)
This homework is due very soon !!! ( SOS)
Answer:
b: Two thousand four hundred and forty (2440)
c: 1.33 x 10^27
Step-by-step explanation:
I'm uncertain by what an ordinary number is, but to calculate the answer for part b, you need to divide the diameter of Mercury by 2, which would give the aforementioned answer.
As for part c, you will need to subtract the masses of Jupiter and Saturn:
mass of Jupiter - mass of Saturn = 1.33 ×[tex]10^{27}[/tex]
Find the commission on a 1,250 sale with a commission rate of 5%.
Please help only if you know it and please explain the answer
The commission on the sale would be $62.5
To find the commission on a sale, you can use the following formula:
Commission = Sale Amount x Commission Rate
Sale Amount: the total value of the sale
Commission Rate: the percentage or decimal value of the commission rate (e.g. 5% = 0.05)
The commission on a sale can be calculated by multiplying the total sale amount by the commission rate.
In this case, the commission on a 1,250 sale with a commission rate of 5% would be:
= 1,250 x 0.05
= 62.5
So the commission on the sale would be $62.5
It's also worth noting that commission rate is given as a decimal and not a percentage. 5% is 0.05 as decimal.
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roma selects cards from a standard of 52 cards. Once a card is selected, it is not replaced. Find the probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Given:
A card is selected randomly from a standard deck of 52 cards.
To find:
The probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Solution:
In a standard deck of 52 cards.
Total number of cards = 52
13 cards of each suit (heart, diamond, club, spade).
13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
a. We need to find the probability of getting a king of heart.
Number of king of heart = 1
[tex]P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}[/tex]
[tex]P(\text{a king of heart})=\dfrac{1}{52}[/tex]
b. We need to find the probability of getting a queen of spades.
Number of queen of spades = 1
[tex]P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}[/tex]
[tex]P(\text{a queen of spades})=\dfrac{1}{52}[/tex]
c. We need to find the probability of getting an ace of flower (spades).
Number of ace of flower = 1
[tex]P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of flower})=\dfrac{1}{52}[/tex]
d. We need to find the probability of getting an ace of diamond.
Number of ace of diamond = 1
[tex]P(\text{an ace of diamond})=\dfrac{\text{Number of ace of diamond}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of diamond})=\dfrac{1}{52}[/tex]
Therefore, the required probabilities for each parts are:
(a) [tex]\dfrac{1}{52}[/tex]
(b) [tex]\dfrac{1}{52}[/tex]
(c) [tex]\dfrac{1}{52}[/tex]
(d) [tex]\dfrac{1}{52}[/tex]
The probabilities for each of the given selections are;
A) 1/52
B) 1/52
C) 1/52
D) 1/52
What is the Probability?A) Since total number of cards in the deck is 52 and there is only one king of heart, then;
Probability of selecting a king of heart = 1/52
B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;
Probability of selecting a queen of spade = 1/52
C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;
Probability of selecting an ace flower = 1/52
D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;
Probability of selecting am ace of diamond = 1/52
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please help i need this in asap!!!!!!!
Answer:
366.16
Step-by-step explanation:
area to paint = (10 x 6 x 2) + (10 x 2 x 2) + (6 x 2 x 2) = 184 m²
184 x 1.99 = 366.16
What is the surface area of the cylinder with height 7 in and radius 6 in? Round your answer to the nearest thousandth.
Answer: 490.088 in2
Step-by-step explanation:
help please i really need help
Answer:$ 1341.99
Step-by-step explanation: Hope its helps
A train moving at a constant speed travels 325 mi in 8 hr. At this rate, how many miles does the train travel in 12 hr?
ANSWER ASAP!!!
Answer:
Step-by-step explanation:
In 12 hours, the train will travel 487.5 miles
8/325=40.625
40.625 x 12 = 487.5
Help plis and thankyou :)
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6 is what percent of 88?
Answer:
6 is 6.82% of 88
The students at Walden Middle School are selling tins of popcorn to raise money for new uniforms. They sold 42 tins in the first week.How much money did they make in the first week?
Answer:
$388.50
Step-by-step explanation:
42 tins
$9.25/tin
[tex]42*9.25=388.5[/tex]
So, they raised $388.50
please help just answer the blanks I'll give a crown thing don't waste an answer.
Answer:
5) 1: 63
2: 117
3: 63
4: 117
5: 63
6: 117
7: 63
8: 117
Step-by-step explanation:
Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.What is the length of the hypotenuse of a 45 45 90 triangle if the length of the leg is 5?
The length of the hypotenuse will be 5√2 = 7.07
The triangle specified in the question is right-angled, one angle is mentioned to be 90°. It is also an isosceles triangle since both other angles are equal. if both angles are equal, both sides will also be equal.
So the length of both equal sides = 5 cm
Pythagoras' theorem tells us about the relationship between the three sides of a right-angled triangle. It states that the square of the hypotenuse of the right-angled triangle will be equal to the sum of squares of the other two sides. If a, b, and c are the sides
c² = a²+ b²
c = √(a²+b²)
According to Pythagoras' theorem, Hypotenuse = √base²+ alt²
Hypotenuse = √5²+5²
= 5√2
= 7.07 cm
So the length of the hypotenuse is 5√2 = 7.07 cm.
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If a mom has 3 kids who are 18, 16, and 26 how old is the mother
and how old was she when she gave birth
30 POINTS BEST ANSWER WILL GET BRAINLIEST
Answer:
Step-by-step explanation:
If the firstborn arrived 26 years ago, his mother's age was likely between 20 and 30 years old when she gave birth. Her current age is likely between 46 and 56 years.
Solve correctly for brainly
Answer:
y=4x+26
Step-by-step explanation:
x intercept =( [tex]\frac{- 13}{2} \\[/tex], 0)
y intercept = (0,26)
Y+W-2asquared
W=400 a=5 work out the value of y
The lengths of the four sides of a quadrilateral (in centimeters) are consecutive even integers. If the perimeter is 132 centimeters, find the value of the shortest of the four side lengths.
The value of the shortest of the four side lengths of the quadrilateral is 30 cm
What is the length of the shortest side of the quadrilateral?The perimeter of a quadrilateral is the sum of all the sides.
Perimeter of the Quadrilateral = 132 centimeters
Let
The shortest side = x
Since, the sides are consecutive even integers;
Second side = (x + 2)
Third side = (x + 4)
Fourth side = (x + 6)
Perimeter of the Quadrilateral = shortest side + Second side + Third side + Fourth side
132 = x + (x + 2) + (x + 4) + (x + 6)
132 = x + x + 2 + x + 4 + x + 6
132 = 4x + 12
132 - 12 = 4x
120 = 4x
divide both sides by 4
x = 120/4
x = 30 centimeters
Therefore,
Second side = (x + 2)
= 30 + 2
= 32 cm
Third side = (x + 4)
= 30 + 4
= 34 cm
Fourth side = (x + 6)
= 30 + 6
=36 cm
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20 PTS-what Theorem can be used to prove these triangles are congruent
Answer: AAS
Step-by-step explanation:
AAS, because the side congruence isn't between the angles as it should be in order for it to be ASA.
Write two equivlants ratios for each ratios
a. 3:12
b) 3/5
c) 108:9
help meeeeeee plsssss begging u
Step-by-step explanation:
[tex]3 : 12 \equiv \frac{3}{12} \equiv 1 : 4[/tex]
[tex] \frac{3}{5} \equiv3 : 5[/tex]
[tex]108 : 9 \equiv \frac{108}{9} \equiv12 : 1[/tex]
if 15 mL of glue is needed to make 6 oz. of slime, how many mL of glue is needed to make 10 oz. of slime
Answer:
25mL
Step-by-step explanation:
15/6=2.5ml/oz
10x2.5=25mL
Pula need to make an 80% on her test to pass the class. she has 25 questions on the test. How many does she need to get correct
Answer:
Step-by-step explanation:
25×80%=20
so she need to get 20 questions right
Answer:
20
Step-by-step explanation:
total question: 25
marks need to pass: 80%
25-20% = 20
Hays is standing outside on a sunny day. he is 6 ft tall and casts a 4 ft shadow. what is the distance from the top of hays's head to the end of his shadow? round to the nearest tenth, if necessary. responses
a. 4.5 ft
b. 4.5 ft
c. 5 ft
d. 5 ft
e. 7.2 ft
f. 7.2 ft
g. 10 ft
Options e and f is the correct answers. The distance from the top of hays' head to the end of his shadow is 7.21ft
Hays' body and his shadow are perpendicular.
So if we imagine the line from the top of his head to the end of his shadow on the ground, we have a right triangle, and the imaginary line is the hypotenuse.
Then you can stand back and let Pythagoras figure out the length of the line for you, using c² = a² + b²
(Distance)²=(Hay's height)²+(length of his shadow)²
(Distance)²=(6 ft)² + (4 ft)²
(Distance)²=(36 ft²) + (16 ft²)
(Distance)=52 ft²
Distance =√(52 ft)²
Distance = 7.21 ft
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