Since 1 meter is equal to 3.28ft, let x be the number of meters equivalent to 600ft; therefore,
\(\frac{x}{600}=\frac{1}{3.28}\)Solving for x,
\(\begin{gathered} \Rightarrow x=\frac{600}{3.28}=182.926829\ldots \\ \Rightarrow x\approx182.927 \end{gathered}\)Once rounded, the answer is 182.927m
What is the end behavior of the graph of the polynomial function f(x)= 3x^6+30x^5+ 75x^4
9514 1404 393
Answer:
f(x) → ∞ as |x| → ∞
Step-by-step explanation:
The degree is even and the leading coefficient is positive. When the magnitude of x gets large (either positive or negative), the value of f(x) will be a large positive number.
f(x) → ∞ as |x| → ∞
Which equation represents this sentence?
3 times the difference of 6 and a number is equal to 15
3x−6=15
3(6−x)=15
6−3x=15
3(x−6)=15
Answer:
B. 3(6-x)=15
Step-by-step explanation:
3 times means to multiply 3
difference means to subtract, so the difference between 6 and a number would be 6-x (x representing the unknown number)
Hope this helps!
Answer:
B.
Step-by-step explanation:
10. Lin and Andre biked home from school at a steady pace. Lin biked 1.5 km and it took her 5 minutes. Andre biked 2 km and it took him 8 minutes. a) Draw a graph with two lines that represent the bike rides of Lin and Andre. b) For each line, highlight the point with coordinates (1, k) and find k. c) Who was biking faster?
According to the data, it can be inferred that Lin is faster than Andre because she is going at 0.3 km/min speed while he is going at 0.25 km/min speed.
How to calculate who goes faster?To calculate who goes faster we must divide the time into the distance traveled by each character as shown below:
1.5km ÷ 5min = 0.3km/min2km ÷ 8min = 0.25km/minWhat is the K point for each character?According to the above, the point K of each would be equal to the distance that each of them travels in one minute. As shown in the graph, after 5min (Lin) and 8min (Andre), each one reaches their respective destination located 1.5km and 2km away, respectively, taking the point (0,0) as the starting point.
Lin: (1,0.3)Andrew: (1,0.25)The graph is attached.
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Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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The native range of a species includes all areas in which it lives.
Please select the best answer from the choices provided
T F?
Answer:
false
Step-by-step explanation:
just took the quiz
Answer:
false
Step-by-step explanation:
Rewrite each equation without absolute value for the given conditions. y = |x-5| + |x+5| if -5 < x < 5
Answer:
y=10
Step-by-step explanation:
Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43
A box contains several of Mrs. Spencer's new pamphlets. The box weighs 2,000 grams. This chart shows the effect of
adding a pamphlet
Pamphlets Added to the box (x) Effect on the Box's Weight, in grams (1)
0
0
1
6
2
12
3
18
Which statement is true about a proportional relationship such as the one illustrated in this table?
o As the value of x decreases. Increases.
As the value of x increases, y increases
The unit rate that describes the relationship of y to x is 3.
Weight is the independent variable, and the number of pamphlets is the dependent variable
Answer: 20,042
Step-by-step explanation: addion
A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.
The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.
The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.
From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.
Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:
[asy]
unitsize(1cm);
pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);
draw(O--N--A,Arrow);
draw(O--S--B,Arrow);
\(label("$52^\circ$", N + 0.3*dir(52), NE);\)
\(label("$134^\circ$", S + 0.3*dir(134), SE);\)
draw(O--A--B--cycle,dashed);
\(label("$x$", (N+A)/2, W);\)
\(label("$y$", (S+B)/2, E);\)
[/asy]
We can use the tangent function to find x and y, since we have the angle and opposite side.
From the north observation point, we have:
\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)
From the south observation point, we have:
\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)
Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
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APEX. I’ll make you the brainliest . I need this ASAP :(
Part 2: Use the formula you selected in part 1 to find the area of a circle with diameter 8 feet. Show your work and round your answer to the nearest hundredth. (2 points)
————————————
Part 3: Use the formula you selected in Part 1 to find the area of a circle with diameter 10 feet. Show your work and round your answer to the nearest hundredth. (2 points)
———————————-
Part 4: Find the difference of your answers from part 2 and 3 to find the difference in the areas. Show your work and round your answer to the nearest hundredth. (1 point)
Answer:
Part 1= Pi * R Squared
Part 2: 50.27
Part 3: 78.54
Part 4: 28.27
Step-by-step explanation:
Part 1: Memorize the formula
Part 2: 8 feet diameter = Pi * 4 squared. 8 feet is the diameter so the radius is 4. 4 squared is 16. 16 * pi = approximately 50.27, but is 50.24 if 3.14 is used as pi.
Part 3: Pi * 5 squared since 10 is diameter. 25 * pi which is close to 78.54, but is 78.5 is 3.14 is used for pi.
Part 4: I subtracted Part 3 from Part 2.
given that the dice lands on a number greater than or equal to 5, what is the probability that the selected die is die
The probability of getting a number greater than 5 is = 1/6
Option (b) is correct.
The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) =0.5.
Die with numbers; 1,2,3,4,5,6
A number greater than 5 on the dice
A number greater than 5 is,6 out of which only one Number appears while throwing dice
So, using the formula :
probability(number greater than 5)= favorable outcome/ total number of outcomes
The probability of getting a number greater than 5 is = 1/6
The complete question is -
The probability of getting a number greater than 5 in throwing a die is
a) 1/3
b) 1/6
c) 3/4
d) 2/3
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Your class is taking a trip to the public library. You can travel in cars and large vans. A car holds 5 people and a large van holds 12 people. Write an equation to represent the situation if there are 60 students in your class.
Step-by-step explanation:
c = number of cars used
v = number of vans used
5c + 12v = 60
as the sum of all students in cars and vans must be 60.
but this does not consider solutions with partly filled cars or vans.
Add 2/10 +36/100 =
Write each sum as fraction with a denominator of 100 and as a decimal
Answer:
56/100 or 0.56
Step-by-step explanation:
you first need the dinominators to be the same so to figure that at you can do 100 divided by 10 which is 10. so to make the doniomators even you need to multipy the 2/10 by 10. so 2x10=20 and 10x10=100 so that makes the fraction 20/100. now you have 20/100 + 36/100 =? which makes it a lot easier. so now all you do is add ONLY THE NUMERATOR so you do 20+36 which is 56 and you keep the 100 and that 56/100.
To make it into a decimal, this one is easy because the denominater is 100 so you just take 56.0 and move the decimal two place values so its 0.56. :)
Y+10 like terms from expression 2
Answer:
y+10=2
y=-8
Step-by-step explanation:
y=2-10
y=-8
The sum of two numbers is 33. One number is 2 times os large as the other. What are the numbers?
Answer:
the numbers are 11 and 22
Step-by-step explanation:
if one number is x, then the other is 2x
Their sum = x + 2x = 33
3x = 33
x = 11
2x=22
22+11=33
Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4 inches. Women have
a mean of 63.8 inches and standard deviation 2.6 inches. The US Air Force has a height requirement for their pilots to be
between 64 inches and 77 inches.
Make sure you are rounding z-scores properly to two places.
Part A: Find the two z-scores for women who meet this height requirement z =
and z=
I
(larger value)
For Blank 1
Part B: Using the z-scores from part A, find the proportion of women who meet the height requirement. Give this answer as a
decimal.
Z=
(smaller value)
Part C: Find the two z-scores for men who meet this height requirement z =
(larger value)
Part D: Using the z-scores from part C, find the proportion of men who meet the height requirement. Give this answer as a
decimal.
QUESTION 2
(smaller value) and
Part E: If the height requirement were changed to exclude only the shortest 1% of women and tallest 1% of men, what are the
new heights? The short value would be
in inches and the tall value would be
in inches. Please give these two values rounded properly to one decimal place.
Normal distribution curve is symmetric around the mean, it shows that values close to the mean happen more frequently than those distant from the mean.
What is meant by normal distribution curve?A bell-shaped (symmetric) curve, the normal probability distribution or the normal curve. The mean of it is represented by and the standard deviation by σ.
In this example, the mean and median are both equal and lie in the center of the distribution; they are 64, and the standard deviation is 7, with 68% of the values falling within the first standard deviation, 95% within the second standard deviation, and 99.7% within the third. Once more, variance is equal to the standard deviation squared.
According to the normal distribution curve:
"the percent of women whose heights are between 64 and 69.5 inches" represents the values within 2 standard deviation.
Area from a value (Use to compute p from Z)
Value from an area (Use to compute Z for confidence intervals)
Let the parameters be
Mean 64
Standard deviation 2.75
Above 1.96
Below 1.96
Between 64 and 69.5
Outside -1.96 and 1.96
Area (probability) 0.4772
And that value is 95 % of the whole data
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HELP ME, PLEASE!!!!!!
A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
Out of six sides on the die, two are the desired results, which are 1 or 6, hence the probability is given as follows:
p = 2/6
p = 1/3.
Hence, out of 60 trials, the expected number of successes is given as follows:
E(X) = 60 x 1/3
E(X) = 20.
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what is the answer when you multiply 5.30 one by 5.02
Answer:
I think is there answer is 26.606
5. The cost of tuition at the public university that Mateo plans to attend is $9,600 for the first year. Mateo's parents will pay for one-third of the tuition. Mateo will use $1,500 from his savings to help pay for tuition. What is the minimum amount of money Mateo will need to save every month to reach his goal of paying off the remaining tuition cost at the end of 12 months? < PREVIOUS 1 0² 3 04 5 06
Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.
What is fixed expense and variable expense?Rent or a car payment are examples of monthly costs that are fixed expenses. On the other hand, a variable expense is one that can vary from month to month, like food or entertainment. Variable expenses demand greater flexibility in budgeting because the cost can change, but fixed expenses are often easier to prepare for because the amount is constant.
Given that, cost of tuition fee is $9,600 for the first year.
Now, Mateo's parents will pay for one-third of the tuition thus:
1/3 x $9,600 = $3,200
From the saving the money used is $1500 thus the remining cost is:
$9,600 - $3,200 - $1,500 = $4,900
For 12 months in a year we have:
$4,900 / 12 = $408.33
Hence, Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.
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Is 17/5 + square root of 64 greater than 8 + pi?
Answer:
I'm probably wrong 69??? Yea I'm definitely wrong
Please help me with these. God bless you
Answer:
The lines of symmetry in the wheel is infinite.
Explanation:
Since there are an infinite number of lines through the center, a circle has an infinite number of lines of symmetry.
26. My little brother has a 4-digit bike lock with the digits 0 to 9 on each part of the lock as shown. He started on the correct combination and turned each part the same amount in the same direction and now the lock shows the combination 6348. Which of the following CAN- NOT be the correct combination of my brother's lock? (A) 8560 (B) 3015 (C) 4906 (D) 1893 (E) 6348 0782 Activate Windows
Answer:
A
Step-by-step explanation:
The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.
What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.
1. How many repeating digits does the number represented by n have? (2 points)
2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number. (2 points)
3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. (2 points)
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)
5. Write n as a fraction in simplest form. Show your work. (2 points)
What is fractional equivalent?
Equivalent fractions are fractions with distinct numerators and denominators but the same value.
1. The number represented by n has two repeating digits, 15.
2. To convert the repeating decimal to a fraction, we need to identify the place value of the repeating digits. In this case, the repeating digits start immediately after the decimal point, so we need to multiply by a power of 10 that is equal to the number of repeating digits, which is 2.
3. Power of 10 times n = 10^2 x 0.1515... = 15.15...
\(0.1515... x 10^2 = 15.15...\\\\\)
4.
\(10^2n = 15.15...\\\\n = 0.1515...\\\\99n = 15\)
To obtain the equation, we multiplied the original bby 100 to eliminate the decimal, which gives 100n = 15.1515... We then subtracted the original equation from the multiplied equation to eliminate the repeating digits, which gives 99n = 15.
5. 99n = 15
n = 15/99
To obtain the fraction, we divided both sides of the equation by 99.
Therefore, the fractional equivalent of the repeating decimal n = 0.1515... is 15/99, which can be simplified to 5/33 in simplest form.
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please help me
thank
Answer:
D will round to 18.96
Step-by-step explanation:
18.958, 5+ will get rounded higher so it turns to 18.96, hope this helps you!
How many real solutions does the equation have? y=x² + 4x - 6
There are 2 real solutions for the quadratic equation y=x²+4x-6.
What is meant by quadratic function?A second-order polynomial equation in one variable, x, using the formula ax2+bx+c=0, is known as a quadratic equation. A polynomial of degree two in one or more variables in mathematics is known as a quadratic polynomial. Any polynomial function that is defined by a quadratic polynomial is said to be quadratic. The terms "quadratic polynomial" and "quadratic function" were practically interchangeable until the 20th century since it was difficult to tell a polynomial from its corresponding polynomial function. A quadratic function with only one variable, for instance, has the following form:
The quadratic equation presented is y=x²+4x-6
We must ascertain how many possible solutions exist for this function.
x²+4x-6.
x²+4x-6=0
= (-4±√16-4(1)(-6))/2
=(-4±√-40)/2
= -2±10
Therefore, there are 2 real solutions for the quadratic equation
y=x²+4x - 6.
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What is the answer to -5+(-5r)+10
Answer:
=−5r+5
Step-by-step explanation:
Let's simplify step-by-step.
−5−5r+10
=−5+−5r+10
Combine Like Terms:
=−5+−5r+10
=(−5r)+(−5+10)
=−5r+5
Answer: -5r+5
Step-by-step explanation: 1rst: Eliminate redundant parentheses
-5+(-5r)+10
-5-5r+10
2nd: Add the numbers
-5-5r+10
5-5r
3rd: Rearrange terms
5-5r
-5r+5
B
E
7
4
3
1
-2 -1 0
D
Determine the line of reflection.
O Reflection across x = 4
Reflection across y = 4
Reflection across the x-axis
Reflection across the y-axis
3
4
C
D'
8
E'
9
10
B'
A'
11
Answer: 10
Step-by-step explanation: it is a 5+ 5 =
the school store sells binders for $4.00 each and pens for $2.00 each the equation in standard form is 4x+2y=20 it describes the number of binders x and pens y that you can buy for $20complete the table to show the possible combinations of binders and pens that can be bought for $20I really need help
(0,10), (1,8), (2,6), (3,4), (5,2), (6,-2)
Explanation
\(4x+2y=20\)Step 1
subtract 4x in both sides
\(\begin{gathered} 4x+2y=20 \\ 4x+2y-4x=20-4x \\ 2y=20-4x \end{gathered}\)Step 2
divide each side by 2
\(\begin{gathered} \frac{2y}{2}=\frac{20}{2}-\frac{4x}{2} \\ y=\text{ 10-2x Equation(1)} \end{gathered}\)Step 3
replace the value of x in equation (1) starting with 0 (table)
\(\begin{gathered} \text{when x=0} \\ y=10-2x=10-2(0)=10-0=10 \\ \text{then, when x= 0, y=}10 \end{gathered}\)point(0,10)
\(\begin{gathered} \text{when x= 1} \\ y=10-2x=10-2(1)=10-2=8 \\ (1,8) \end{gathered}\)point(1,8)
\(\begin{gathered} f(1)=10-2(1)=10-2=8 \\ f(2)=10-2(2)=10-4=6 \\ f(3)=10-2(3)=10-6=4 \\ f(4)=10-2(4)=10-8=2 \\ f(5)=10-2(5)=10-10=0 \\ f(6)=10-2(6)=10-12=-2 \end{gathered}\)I hope this helps you
shawn sells 36 vehicles in 4 weeks. brett sell 56 vehicles in 7 weeks. who sells more vehicles per week?
The person who sells more vehicles per week between Shawn and Brett is Shawn who sells 9 vehicles sold per week.
How to find who sells more per week?In order to determine who sells more vehicles per week between Shawn and Brett, find the unit of cars sold per week.
Shawn:
Number of vehicles sold = 36Number of weeks = 4Number of vehicles sold per week = Number of vehicles sold / Number of weeks
= 36/4
= 9 vehicles sold per week
Brett:
Number of vehicles sold = 56Number of weeks = 7Number of vehicles sold per week = Number of vehicles sold / Number of weeks
= 56/7
= 8 vehicles sold per week
In conclusion, Shawn sold more vehicles per week.
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation: