Answer: $12.63
Step-by-step explanation:
$14.87 + $7.76 = $22.63
2pizzas x $5 = $10
$22.63 - $10 = $12.63
9. A nonstop bus ride from the bus station in Atlantic City, New Jersey, to the bus station in Albany, New York,
took 6 hours. If the average speed of the bus was 21 meters per second, what is the distance between the two
bus stations, to the nearest kilometer?
a.756 kilometers
b. 126 kilometers
c. 454 kilometers
d. 350 kilometers
Answer:
C
Step-by-step explanation:
EASY IVE DONE IT
Using conversion of units and the relationship between velocity, distance and time, it is found that the distance between the two stations is of:
c. 454 kilometers
Velocity is distance divided by time, that is:
\(v = \frac{d}{t}\)
In this problem:
Time of 6 hours, hence \(t = 6\).Velocity of 21 m/s. To convert from m/s to km/h, we multiply by 3.6, hence \(v = 21(3.6) = 75.6\)Then, solving for the distance:
\(v = \frac{d}{t}\)
\(75.6 = \frac{d}{6}\)
\(d = 6(75.6)\)
\(d = 453.6[/tex
Rounding up, 454 km, option c.
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2. Simplify 2x + 16 + 5x – 10
Answer: 7x + 6
Step-by-step explanation:
Combine like terms:
(2x + 5x) + (16 - 10)
Answer:
soln
2x + 16 + 5x – 10
8(x+2) + 5(x + 2)
8+2 (x+2)
10 (x + 2 )
Please help me on this question!
Answer:
u = 10 ft
Step-by-step explanation:
cuboid volume = w × h × l
width * hight * length
560 = 7 × 8 × u
u = 10 ft
Answer:
u = 10 ft
Step-by-step explanation:
Volume of a rectangular prism = lwh
where:
l = lengthw = widthh = heightGiven:
Volume = 560 ft³width = 7 ftlength = 8 ftheight = uSubstitute the given values into the formula and solve for h:
⇒ 560 = 8 × 7 × u
⇒ 560 = 56u
⇒ 56u ÷ 56 = 560 ÷ 56
⇒ u = 10 ft
Therefore, the height of the prism is 10 ft.
The probability of winning a certain game is 0. 5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are n=10, n=20, and n=100, which value of n should the player choose in order to maximize the probability of winning a prize?.
0.117 Or 11.7% chance of n should the player choose in order to maximize the probability of winning a prize.
What is the binomial theorem on probability?The probability of precisely x successes on n further trials in an experiment with two potential outcomes is referred to as the binomial probability (commonly called a binomial experiment).
When a procedure is performed a certain number of times (for example, in a group of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."
The probability of winning a prize remains the same for. n = 10 or n=20 or n = 100; the probabilities are the same.
Given that,
p = 0.5, So, q = 1 - 0.5 = 0.5.
If 70% of 'n' games are won then 30% of n games must be lost.
Let n = 10.
Therefore, P ( x = 3) = \(^{10}C_3p^7q^3\)
or, P ( x = 3) = \(^{10}C_3(0.5)^7(0.5)^3\)
or, P (x = 3) = 120×0.0078×0.125.
or, P (x = 3) = 0.117 Or 11.7% chance.
Now, Changing the value won't have any effect as all the 'n's are multiple of 10 and we'll have same probability.
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5 1/3 + 3 1/6
thank you
8 1/2
5 + 3 = 8 1/3+ 1/6 = 3/6 8 3/6 = 8 1/2
dec form = 8.5
1/3 = 2/6
is 8ft ,11.5ft, 11.5ft a right triangle
Answer: No
Step-by-step explanation:
Hi there,
No, that is not a right triangle. A triangle with those side lengths would create an isosceles triangle with the angles 69.6 degrees, 69.6 degrees, and 40.7. Because there is no 90 degree angle, it is not a right triangle.
I hope this helps.
I need a step by step explanation please Thank you so much
======================================================
Work shown for part (a)
tan(x) = tan(x-180)
tan(265) = tan(265-180)
tan(265) = tan(85)
-------------------------
Work shown for part (b)
sine = opposite/hypotenuse = 2/3
opposite = 2 and hypotenuse = 3
Use a = 2 and c = 3 to determine b in the pythagorean theorem.
\(a^2+b^2 = c^2\\\\2^2+b^2 = 3^2\\\\4+b^2 = 9\\\\b^2 = 9-4\\\\b^2 = 5\\\\b = \sqrt{5}\\\\\)
adjacent = \(\sqrt{5}\) and opposite = 2
\(\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{\sqrt{5}}{2}\\\\\)
-------------------------
Work shown for part (c)
\(\frac{5}{2}\cos(\theta)+4 = 2\\\\\frac{5}{2}\cos(\theta) = 2-4\\\\\frac{5}{2}\cos(\theta) = -2\\\\\cos(\theta) = -2*(\frac{2}{5})\\\\\cos(\theta) = -\frac{4}{5}\\\\\)
\(\theta = \pm\arccos\left(-\frac{4}{5}\right)+360n \ \ \text{ .... where n is an integer} \\\\\theta = \pm143.1301+360n\\\\\theta = 143.1301+360n \ \text{ or } \ \theta = -143.1301+360n\\\\\)
Here's a table of values for selected inputs of n
\(\begin{array}{|c|c|c|} \cline{1-3}n & 143.1301+360n & -143.1301+360n\\\cline{1-3}-1 & -216.8699 & -503.1301\\\cline{1-3}0 & 143.1301 & -143.1301\\\cline{1-3}1 & 503.1301 & 216.8699\\\cline{1-3}2 & 863.1301 & 576.8699\\\cline{1-3}\end{array}\)
The results 143.1301 and 216.8699 are in the interval \(0^{\circ} < \theta < 360^{\circ}\), which makes them the two approximate solutions.
You can use graphing software such as GeoGebra or Desmos to confirm the answers.
Will mark brainliest (scam links will be reported)
Answer:
30
hope it helps
how many different license plates can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits?
There are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.
There are two different types of license plates that can be made: one with three letters followed by three digits and one with four letters followed by two digits. To find the total number of different license plates that can be made, we need to calculate the number of possibilities for each type of license plate and then add them together.
For the first type of license plate (three letters followed by three digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 10 × 10 × 10 = 17,576,000
For the second type of license plate (four letters followed by two digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 26 × 10 × 10 = 45,697,600
Adding these two numbers together gives us the total number of different license plates that can be made:
17,576,000 + 45,697,600 = 63,273,600
Therefore, there are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.
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Evaluate the expression when when c = 3 and d = 33
Answer:
45
Step-by-step explanation:
if ab = 49 and bc = 22, find the length of ac
Answer:
ac = 71
Step-by-step explanation:
ac = ab + bc
ac = 49 + 22
ac = 71
GIVING BRAINLIEST WHO WILL ANSWER FIRST
Which is equivalent to One-fourth x?
StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x
StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction
StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction
One-half x + one-half x
Answer:
1/8x + 1/8x
Step-by-step explanation:
We are looking for 1/4x
1/8x + 1/8x = 2/8x which reduces to 1/4x
1/8x + 1/8 Cannot be added as they are not like terms
1/8 + 1/8 = 2/8 which reduces to 1/4 but doesn't have an x
1/2x + 1/2x = 2/2x which reduces to x
Therefore 1/8x + 1/8x is equivalent
Tanmayi wants to raise $175 for a school funraiser. She has raised $120 so far. How much more does she need to reach her goal? (unsolved equation)
If f(1)=1 f(2)=2 and f(n)=2f(n-1)+3f(n-2) then find the value of f(6).
Answer:
f(6) = 182
Step-by-step explanation:
f(1) = 1
f(2) = 2
f(3) = 2f(2) + 3f(1) = 2(2) + 3(1) = 4 + 3 = 7
f(4) = 2f(3) + 3f(2) = 2(7) + 3(2) = 14 + 6 = 20
f(5) = 2f(4) + 3f(3) = 2(20) + 3(7) = 40 + 21 = 61
f(6) = 2f(5) + 3f(4) = 2(61) + 3(20) = 122 + 60 = 182
Answer:
-486
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial? x2 - 13x + 30 A)x-5 B)x+3 C)x+5 D)x-3
Answer:
D) x-3
Step-by-step explanation:
\(x^2-13x+30=\\(x-3)(x-10)\)
So the answer choices were:
A )x-5
B) x+3
C) x+5
D) x-3
The correct answer is D) x-3.
The correct binomials which is a factor of this trinomial is,
⇒ x - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ x² - 13x + 30
Now, We can simplify as;
⇒ x² - 13x + 30
⇒ x² - 10x - 3x + 30
⇒ x (x - 10) - 3 (x + 10)
⇒ (x - 3) (x + 10)
Thus, The correct binomials which is a factor of this trinomial is,
⇒ x - 3
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A random variable r is normally distributed with a mean of 7 and a standard deviation of 1.5. Find the value of w so that P (8.8
Answer:
The answer is explained below
Step-by-step explanation:
Given that:
mean (μ) = 7 and standard deviation (σ) = 1.5.
The z score is used in statistic used to measure the number of standard deviation by which the raw score is above or below the mean value. It is given by:
\(z=\frac{x-\mu}{\sigma}, where\ x\ is\ the \ raw\ score\)
To find the Probability that x < 8.8, we first find the z score using:
\(z = \frac{x-\mu}{\sigma}=\frac{8.8-7}{1.5}=1.2\)
From the z tables, P(x < 8.8) = P(z < 1.2) = 0.8849 = 88.49%
A culture of bacteria that initially contained 2000 bacteria has a count of 18000 after 2 hrs. Determine the function that expresses the continuous exponential growth of the number of bacteria as a function of time, t, in hours.
Answer:
y= 8000x + 2000
Step-by-step explanation:
to find the formula we can use the points given in the question:
the slope:
to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria
now using slope-intercept form we can get \(\frac{18000-2000}{2-0}\) which gives a slope of 8000 meaning for each hour there are 8000 new bacteria
intercept:
since we start with 2000 bacteria we know this is the y intercept so when x is 0
formula:
y=8000x + 2000
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )
Adam has 312pounds of ground beef.
How many burgers can he make if each burger requires 14 pound?
PLS HELP NOWWWW
Answer:
14 or 0.14
Step-by-step explanation:
3 1/2 ÷ 1/4
1/4 = 25
3 1/2 ÷ 25 = 0.14 or 14
This is correct answer can you mark me brainliest
What is the answer of 9^2 • 9^3
Answer:
9^5
Step-by-step explanation:
the number you're multiplying stays the same and you add your powers I believe.
so it's basically 9•1 and the ^2+^3=^5
Answer:
\(\boxed {\tt 9^{5}}\)
Step-by-step explanation:
When multiplying exponents, the base stays the same and the exponents are added.
\(a^x*a^y=a^{x+y}\)
We are given the expression:
\(9^2*9^3\)
The base is 9, and it will stay the same. The exponents, 2 and 3, must be added.
Exponents: 2, 3 Add them: 2+3=5\(9^{2+3}\)
\(9^5\)
The answer to 9²*9³ is 9⁵
first one that gets it correctly gets branlyest
Answer:
200 in2
Step-by-step explanation:
diameter= 15 in. so raduis = 15/2
area of circle = πr2
= 22/7 * 15/2 *15/2
= 176.79
rounding to the nearest 100, its 200 in2
Given the following functions, evaluate each of the following: f(x) = x2 + 4x – 5 x x- 9(2) = x - 1 (f+g)(9) = (f -9)(9) = (fog)(9) = (1) (9) = g
The given functions f(x) = x² + 4x – 5 and g(x) = x - 1 are to be evaluated.
(f+g)(9). The addition of two functions is denoted by (f+g)(x) = f(x) + g(x). Now, we need to find the value of (f+g)(9). Substituting the values in the formula, we get:
(f+g)(x) = f(x) + g(x)f(x) = x² + 4x – 5g(x) = x - 1
(f+g)(9) = f(9) + g(9) = (9)² + 4(9) – 5 + (9) - 1= 81 + 36 – 5 + 9 - 1= 120
Therefore, (f+g)(9) = 120.
The subtraction of two functions is denoted by (f-g)(x) = f(x) - g(x). Now, we need to find the value of (f-9)(9). Substituting the values in the formula, we get:(f-g)(x) = f(x) - g(x)f(x) = x² + 4x – 5g(x) = x - 1(f-9)(9) = f(9) - g(9) = (9)² + 4(9) – 5 - (9) + 1= 81 + 36 – 5 - 9 + 1= 104
Therefore, (f-9)(9) = 104.3. (fog)(9)The composition of two functions is denoted by (fog)(x) = f(g(x)). Now, we need to find the value of (fog)(9).
Substituting the values in the formula, we get:
(fog)(x) = f(g(x))
f(x) = x² + 4x – 5
g(x) = x - 1
(fog)(9) = f(g(9)) = f(9 - 1) = f(8)= 8² + 4(8) – 5= 64 + 32 – 5= 91
Therefore, (fog)(9) = 91.4. g(x) = x - 1
Now, we need to evaluate g(9). Substituting x = 9 in the formula, we get:
g(x) = x - 1
g(9) = 9 - 1= 8
Therefore, g(9) = 8.
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from the sum of (3x2-4y2+5x) and (5-4x+2x2) subtract the sum of (-x2+2x-5) and (3y2-3x-3)
Answer and Step-by-step explanation:
Simply add the expression together, then subtract the sum of the other expression
\(6x^{2} - 7y^{2} + 2x + 13\) is the answer.
\(3x^{2} - 4y^{2} + 5x + (5 - 4x + 2x^{2} )\\\\5x^{2} - 4y^{2} + x + 5\\\\\\-x^{2} + 2x - 5 + (3y^{2} - 3x - 3)\\\\\\-x^{2} + 3y^{2} - x - 8\\\\\\5x^{2} - 4y^{2} + x + 5 - (-x^{2} + 3y^{2} - x - 8)\\\\\\\\\\5x^{2} - 4y^{2} + x + 5 + x^{2} - 3y^{2} + x + 8\\\\\\\\\\\\6x^{2} - 7y^{2} + 2x + 13\)
#teamtrees #WAP (Water And Plant)
Find the 75th term of the following arithmetic sequence.
17, 26, 35, 44,
In a two-digit number, the product of the digits is 18 and the sum is 9. Find the number.
I rlly need help thanks the question is in the picture
Answer:
350
Step-by-step explanation:
2500×14%=350000000000000
You sold a total of 56 student and adult tickets for a total of $328. Student tickets cost $5 and adult tickets cost $8. How many student tickets were sold?
Answer:
The number of student ticket sold is 40
Step-by-step explanation:
Given;
total number of tickets sold,= 56 tickets
total amount the tickets were sold, = $328.
cost of student tickets, = $5
cost of adult ticket, = $8
Let the number of student ticket sold = x
Let the number of adult ticket sold = y
To determine the number of student tickets sold, we will have the following equations;
x + y = 56 ------ equation (1)
5x + 8y = 328 -----equation (2)
from equation (1), y = 56 - x
Substitute the value of y in equation (2);
5x + 8y = 328
5x + 8(56 - x) = 328
5x + 448 - 8x = 328
5x - 8x = 328 - 448
- 3x = - 120
x = 120 / 3
x = 40
Therefore, the number of student ticket sold is 40
please answer this A bicycle store costs $2400 per month to operate. The store pays an average of $60 per bicycle that is sold in the shop. This is called a company’s overhead. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even? A bicycle store costs $2400 per month to operate. The store pays an average of $60 per bicycle that is sold in the shop. This is called a company’s overhead. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even?
Answer: The store must sell 40 bikes.
Step-by-step explanation:
y=60x+2400
y=120x
120x=60x+2400
-60x on both sides
60x=2400
divide 60 on both sides
2400/60=40
x=40
What is the arc length the car traveled to the nearest hundredth?
a. 7.91
b. 8.32
c. 10.99
d. 11.89
To find the arc length, we can use the formula:
\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)
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If Tina is x years old then what is her age two years befor
Answer:
x-2
Step-by-step explanation:
If you start of with X, you don't know what the value of X is, so you take away two from what we label as X