Answer: Dakota was less than 51 inches last summer.
Step-by-step explanation: First of all let us represent Dakota's height last summer by letter x.
The height requirement for the roller coaster is given as 54 inches. This means Dakota must be 54 inches or higher in order to be allowed on the ride. However, Dakota is too short to ride. This can be represented mathematically as x < 54.
If However, last summer Dakota grew 3 inches taller, then we can also represent this mathematically as x + 3 < 54.
To solve for this;
x + 3 < 54
Subtract 3 from both sides of the inequality
x < 51. (That is x is less than 51)
Since Dakota's height has been represented by x, we can now interpret this inequality as;
Dakota was less than 51 inches tall last summer.
What is 8/16 I will give brainlyist
Answer:one half
Step-by-step explanation:
there are fewer than 8 fish in the aquarium
Answer:
Step-by-step explanation:
im not sure how to answer this so im going to put this in number form :b
8<f
stay safe :b
-5n-12=-7n+28 solve the equation
Answer:
n = 20
Step-by-step explanation:
Add 7n to both sides.
-5n + 7n - 12 = 2n - 12.
-7n + 7n + 28 = 28.
Now the equation is 2n - 12 = 28.
Add 12 to both sides to isolate the variable.
2n - 12 + 12 = 2n.
28 + 12 = 40.
Now the equation is 2n = 40. Divide both sides by 2.
n = 20.
Answer:
n=20
Step-by-step explanation:
-5n-12 =-7n+28
plus 7n to each side
2n - 12 = 28
add 12 to each side
2n=40
divde by 2 to isolate the n.
you get n=20
a boy is twice as tall as his little sister and 30cm shorter than his father. Their combined height is 3.8m. Find in centimetres the height of each person
Answer:
190
Step-by-step explanation:
An audiometer produces a pure tone with a frequency f of 1200 hertz (cycles per second). The maximum pressure P produced from the pure tone is 5 millipascals. Write a sine model that gives the pressure P as a function of the time t (in seconds). Assume P=0 when t=0.
The pressure P as a function of time t can be modeled using the sine function. The maximum pressure is 5 millipascals. The wavelength, frequency, and speed of the sound wave can be calculated using formulas.
Explanation:The sine model that gives the pressure P as a function of time t is:
P(t) = 5 millipascals * sin(2π * 1200 * t)
Maximum change in pressure: The maximum change in pressure is 5 millipascals.
Wavelength: The wavelength of the sound wave can be calculated using the formula: wavelength = speed / frequency. Since the speed of sound in air is approximately 343 meters per second, the wavelength is approximately 0.285 meters.
Frequency: The frequency of the sound wave is 1200 hertz (cycles per second).
Speed of the sound wave: The speed of the sound wave can be calculated using the formula: speed = wavelength * frequency. Using the values we have, the speed of the sound wave is approximately 343 meters per second.
Final answer:
The sine model that gives the pressure P as a function of time t for an audiometer producing a pure tone at 1200 Hz with a maximum pressure of 5 millipascals is P(t) = 5 · sin(2π · 1200t).
Explanation:
To write a sine model that gives the pressure P as a function of the time t for a sound wave produced by an audiometer, we can use the standard form of a sine function for a periodic wave:
P(t) = Pmax · sin(2πft + φ)
Since we are given that Pmax is 5 millipascals, the frequency f is 1200 hertz, and P=0 when t=0 (which implies that the initial phase shift φ is zero), we can plug these values into the sine model to get:
P(t) = 5 · sin(2π · 1200t)
Here, we converted the maximum pressure from millipascals to pascals, and since the sine of 0 is 0, we have a phase shift of 0 radians, simplifying the equation.
Identify the function family to which f (x) = 8x – 5 belongs.
O Constant
O Linear
O Absolute Value
O Quadratic
East Side Middle School Debate Wins
0
2
4
6
8
10
12
14
16
18 20
Which of these inferences about the two dobate teams
are true? Check all that apply
West Side is more consistent at winning
East Side is more consistent at winning
East Side typically wins more debates per year than
West Side
West Side typically wins more debates per year
than East Side
These graphs do not contain enough information
from which to draw inferences
West Side Middle School Debate Wins
Answer: 2,3
Step-by-step explanation: I literally just did it
When Rahul began 7th grade, he put his savings of $3,000 in an account that compounded interest annually. He hoped to have $6,000 by the time he graduates high school in six years. What interest rate is required for him to reach his goal?
An interest rate of ______%
is required.
Final answer:
To double Rahul's savings of $3,000 to $6,000 in six years through compound interest, the required annual interest rate is approximately 12.25%.
Explanation:
The student wants to determine the interest rate needed for his savings to grow from $3,000 to $6,000 over a period of six years with compound interest compounded annually. We can use the formula for compound interest: A = P(1 + r)^n, where A is the amount of money accumulated after n years, including interest, P is the principal amount (initial sum of money), r is the annual interest rate, and n is the number of years the money is invested for.
To solve this, use the formula with A = $6,000, P = $3,000, and n = 6 years, and then solve for r:
6,000 = 3,000(1 + r)⁶
Dividing both sides by 3,000:
2 = (1 + r)⁶
Now we must take the sixth root of both sides to solve for (1 + r):
(1 + r) = √⁶(2)
Then subtract 1 from both sides to solve for r:
r = √⁶(2) - 1
Using a calculator, simply compute the sixth root of 2, subtract 1, and convert to percentage to find the required interest rate:
r = 0.122462… or 12.2462%
Therefore, the interest rate required is approximately 12.25%.
What does it mean
by round to the nearest degree.
Answer:
Rounding up to the nearest degree is equivalent to rounding up to the nearest whole number (or integer)
Step-by-step explanation:
Any value between degrees above .5 is rounded up to the next degree, so for instance:
30.4 --> 30
30.5 --> 31
30.999 --> 31
31 --> 31
31.499 --> 31
Rounding values expressed in degrees and minutes is similar to rounding decimals.
What is mean by rounding off?Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
We know that;
Rounding values expressed in degrees and minutes is similar to rounding decimals.
However, because there are 60 minutes in a degree, the half way point is 30. If the number of minutes is less than 30, we round down to the nearest degree. If the number of minutes is 30 or more, we round up to the nearest degree.
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what is the volume of a cylinder using pi or 3.14 which the height being 8 and the width being 2
Answer:
The volume of the cylinder is 25.12
Step-by-step explanation:
The width is the diameter in the circle of the base
radius = half of diameter
r = 2/2 = 1
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 8
π = 3.14
r = radius = 1
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (1)²) * 8
v = (3.14 * 1) * 8
v =3.14 * 8
v = 25.12
The volume of the cylinder is 25.12
Tell which number you would add to
or subtract from each side of the inequality to solve it.
k + 11 < −3
Answer:
subtract 11 from both sides I think is what you're asking
Step-by-step explanation:
A cylindrical oil from has a diameter of 2ft and a height of 3 feet. What is the volume of the oil drum?
Answer:
The volume of the cylinder is 9.42ft³
Step-by-step explanation:
radius = half of diameter
r = 2ft /2 = 1ft
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 3ft
π = 3.14
r = radius = 1ft
v = (π * r²) * h
we replace with the known values
v = (3.14 * (1ft)²) * 3ft
v = (3.14 * 1ft²) * 3ft
v = 3.14ft² * 3ft
v = 9.42ft³
The volume of the cylinder is 9.42ft³
The members of a wheelchair basketball league are playing a benefit game to meet their fundraising goal of $900. Tickets cost $15 and snacks cost $6.
The question is incomplete:
The members of a wheelchair basketball league are playing a benefit game to meet their fundraising goal of $900. Tickets cost $15 and snacks cost $6.
a. Write a linear equation that describes the problem
b. Graph the linear equation.
c. If the team sells 50 tickets, how many snacks does it need to sell to reach the goal?
Answer:
a.15x+6y= 900
b. The graph is attached.
c. 25
Step-by-step explanation:
a. From the information provided, the linear equation has to express that the number of tickets multiply for its price plus the number of snacks multiply for its price would be equal to $900:
15x+6y= 900
x= number of tickets
y= number of snacks
b.
When x= 0:
15(0)+6y= 900
y=900/6= 150
When y=0
15x+6(0)= 900
x=900/15= 60
With these points, you can graph the linear equation and the image is attached.
c. You have to replace the value of x in the equation and isolate y:
15x+6y= 900
15(50)+6y= 900
750+6y=900
6y= 900-750
6y= 150
y= 150/6
y= 25
You need to sell 25 snacks to reach the goal.
A bag of marbles contains 4 green marbles ,3 blue marbles,2 red marbles,and 5 yellow marbles.how many outcomes Are there when choosing a marble from the bag?
The total number of possible outcomes when choosing one marble from the bag is 14, accounting for all the different colored marbles present in the bag.
Explanation:The question is about calculating the total number of possible outcomes when choosing a marble from a bag with a mixed assortment of marbles. The bag contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. To find the number of possible outcomes, you simply add the number of each color of marble in the bag.
So the total number of outcomes when choosing one marble from the bag is:
4 (green) + 3 (blue) + 2 (red) + 5 (yellow) = 14 outcomesTherefore, there are 14 different outcomes when selecting a single marble from the bag.
Final answer:
To find the number of outcomes when choosing a marble from a bag, add the number of each color marble to get the total count. Each marble represents one outcome, so with 4 green, 3 blue, 2 red, and 5 yellow marbles, there are 14 possible outcomes in total.
Explanation:
The student is asking about the number of possible outcomes when choosing a marble from a bag containing specific numbers of differently colored marbles. The total number of marbles in the bag is the sum of the individual marbles of each color. Here's how you calculate the number of outcomes:
Count the total number of marbles: 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles.Add up the number of each type of marble to get the total number of marbles in the bag. So, you would have 4 + 3 + 2 + 5 = 14 marbles in total.Since you are choosing one marble from the bag, each marble is a potential outcome. Therefore, there are 14 possible outcomes when choosing a single marble from the bag.In problems involving probability, such as those provided for reference, it's important to consider whether the events are independent or not, and whether you're replacing the marble after drawing it. These details will affect the calculation of probabilities and the number of possible outcomes.
Matt says that he can find the volume of the entire figure by multiplying
3 x 5 x 6. Cassie says she can find the volume by adding 30 + 24. Which
statement is true?
Answer:
Matt would be correct because to find the volume you need to multiply the the sides
Step-by-step explanation:
Here matt should be correct.
Calculation of the judgment:Since Matt says that he can find the volume of the entire figure by multiplying 3 x 5 x 6. Cassie says she can find the volume by adding 30 + 24. So for determining the volume matt should be correct since we have to multiply the sides not the addition.
Therefore, we can conclude that Here matt should be correct.
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A
B
C
D
helpppppp!!!!
Answer:
What you have seleccted (A) is correct! Great job!
WHY NICO? WHY IS IT CORRECT?
Horizontally - Indicates that the movement is from either left to right.
Positive Direction - To the right, or up; in this case, it means to the right.
4 units - Self-explanatory, but make sure you know this is done from the already given coordinate, (-1, 3)!
Answer:
(3, 3)
Step-by-step explanation:
Translating horizontally means to move left or right along the x-axis. To move horizontally in a positive direction means to move right. Since our x-value in the coordinate is -1, we know we must add 4 to it to get our answer.
2/3
5/7
16/21
Sort these fractions in order from smallest to largest.
Answer:
= 2/3 , 5/7 , 16/21
Step-by-step explanation:
LCM = 21
LCM ÷ denominator x numerator
2/3 , 5/7 , 16/21
= 14/21 , 15/21 , 16/21
= 2/3 , 5/7 , 16/21
Use a net to find the total surface of the prism.
29 cm
6.5 cm
19 cm
1726 cm
1121 cm
2671 cm
1110 cm
Answer:
6682.5cm
Step-by-step explanation:
29+6.5=35.5+19=54.5+1,726=1,780.5+1121=2901.5+2671=5572.5+1110=6682.5
What form is this equation in y= -3(x-5)^2+7 in?
Answer:
vertex form
Step-by-step explanation:
y= -3(x-5)^2+7
This equation is written in vertex form
y = a(x-h)^2 +k
The vertex is (h,k)
Answer:
This equation is in vertex form.
Vertex form means that for a quadratic equation, the format is as shown:
y= ±a(b(x-h))²+k. This means that this equation will give you the vertex point directly from the equation.
2.) Simplify the following expression: 7n + 4y + 4n + 7y *
0 points
8y + 14n
11n + 11y
14y + 8n
Already simplified
Other:
Answer:
11n+11y
Step-by-step explanation:
CLT
7n+4n+7y+4y
11n+11y
Please answer ASAP I will give you five stars
Answer:
20π or 62.8
Step-by-step explanation:
Use the equation V = πr²h. r = 2 and h = 5.
V = π(2)²(5)
V = 20π or 62.8
Find the area of a circle with a circumference of 18.84 units.
units2
Answer:
28.25
Step-by-step explanation:
if the ratio of boys to girls is 2:3 and there are 15 girls in your class, how many boys are there.
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
8 passengers in 2 cars = passengers per car
Answer:
4
Step-by-step explanation:
8 divided by 2 = 4
Which of the following expressions can be used to find the perimeter of a rectangle?
2l + 2w
l + l + w + w
l + l + 2w
2l + w
2(l + w)
l(2+w)
2l + 4
l + w + 4
Answer:
2l + 2w. l+l+w+w. l+l+2w. 2(l+w)
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds. What is the scuba diver's rate of change? Round to the nearest tenth.
Answer:
2.3 feet/ second
Step-by-step explanation:
To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.
This is given by rate of change = (change in position)/ change in time
From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.
Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds
Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.
Rounding off the answer to the nearest tenth, we have 2.3 ft/second
The graph shows the market for graphic t-shirts. What does the graph show about the relationship between a product and its price
The graph shows an inverse relationship between the price of graphic t-shirts and the quantity demanded. As the price decreases, the quantity demanded increases, and vice versa. The demand for graphic t-shirts is elastic, meaning changes in price have a significant impact on the quantity demanded.
Explanation:The graph shows the relationship between the price of graphic t-shirts and the quantity demanded. In general, as the price of the t-shirts decreases, the quantity demanded increases, and vice versa. This is known as the law of demand, which states that there is an inverse relationship between price and quantity demanded.
For example, if the price of a graphic t-shirt is $20, the quantity demanded might be 100. But if the price decreases to $15, the quantity demanded might increase to 150.
By analyzing the demand curve shown in the graph, we can see that the demand for graphic t-shirts is elastic. This means that changes in price have a significant impact on the quantity demanded.
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Which of the following are geometric sequences?
Check all that apply.
Answers:
C & DStep-by-step explanation:
There are two general types of sequences that follow a pattern, geometric and arithmetic. Let's see the difference between the two:
An arithmetic sequence is produced by adding the same number to all the terms in the sequence.
EXAMPLE:
5, 7, 9, 11, 13, 15, 17 (The number 2 is added to all terms)
To figure out if a sequence is arithmetic, subtract the first term from the second, then the second from the third and so on until you have checked all the terms.
7 - 5 = 2
9 - 7 = 2
11 - 9 = 2
13 - 11 = 2
15 - 13 = 2
17 - 15 = 2
All results equal 2, so the sequence is arithmetic
From your list: The following sequences are arithmetic
A. 5, 10, 15, 20, 25 (common difference of 5)
The next type of sequence is the geometric sequence.
A geometric sequence is produced when the all the terms in the sequence are multiplied or divided by the same number.
EXAMPLE:
100, 50, 25 (Each term is divided by 2)
To figure this out, we divide each term in the sequence by the next term.
100 / 50 = 2
50 / 25 = 2
All results are two, so this sequence can be confirmed to be geometric
From your list: The following sequences are geometric
C. 10, 5, 2.5, 1.25, 0.625, 0.3125 (common quotient of 2)
D. -9, -3, -1, -1/3, -1/9, -1/27 (common quotient of -3)
There is one final type of sequence, which has no common difference, sum, quotient, or product.
EXAMPLE:
5, 6, 8, 9, 11, 12, 14, 15
This sequence has a pattern, the differences between the numbers are not common.
6 - 5 = 1
8 - 6 = 2
9 - 8 = 1
11 - 9 = 2
12 - 11 = 1
14 - 12 = 2
15 - 14 = 1
From your list: The following sequences are neither geometric nor arithmetic
B. 1, 1, 2, 3, 5, 8, 13 (No pattern)
I'n always happy to help :)
The correct sequences which are geometric sequence is,
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
All the sequences are,
A) 5, 10, 15, 20, 25
B) 1, 1, 2. 3, 5, 8, 13
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
Now, We know that;
Common ratio of the geometric sequences are same.
Hence, We get;
A) 5, 10, 15, 20, 25
Common ratio = 10/5 = 2
Common ratio = 15/10 = 3/2
Hence, It is not geometric sequence.
B) 1, 1, 2. 3, 5, 8, 13
Common ratio = 1/1 = 1
Common ratio = 2/1 = 2
Hence, It is not geometric sequence.
C) 10, 5, 2.5, 1.25, 0.625,
Common ratio = 5/10 = 1/2
Common ratio = 2.5/5 = 1/2
Hence, It is geometric sequence.
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
Common ratio = - 3/- 9 = 1/3
Common ratio = - 1/- 3 = 1/3
Hence, It is geometric sequence.
Thus, The correct sequences which are geometric sequence is,
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
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Select all of the following that are like radicals.
9./6ab2
-5./6ab2
436ab2
2 V6b²a
Answer:
1
2
4
i did it on ed
Fill in the blank to make the two fractions equivalent
?/27= 8/9
Answer: 24/27 = 8/9
When you divide 27÷3 you get 9. 24÷3=8 therefore 24/27 = 8/9
8/9 = 16/18 = 24/27 = 32/36
Answer:
24/27
Step-by-step explanation:
First you would need to find the common denominator.
Or you can divide 27 from 9 which would get you 3. That will be our number to get our missing number. So you would multiply 8 and 3 which gets you 24.
I hope this helps!