Answer: 61.75
Step-by-step explanation:
What is 24 – 6х3+52 - (16+ 2)?
ОА.
9
ОВ.
23
Ос.
71
OD.
496
Answer:
40
Step-by-step explanation:
24 – 6х3+52 - (16+ 2)
PEMDAS states we do the paranthesis 1st
24 – 6 х 3 + 52 - (18)
Next, we do the multiplication
24 - 18 + 52 - 18
Since it's just adding & subtracting, we go from left to right
40
The diagram shows three identical squares of side length 8 cm. The top square is exactly
centred over the two squares below it. Determine the area of the shaded region in cm.
What is the least common multiple of 2,4,9
18
27
36
72
Answer: 36, because 18 is not a miltiple of four, and 27 is only a multiply of nine. Although 72 is a multiple of 2, 4, and 9, it’s not the least common multiple. The LCM of 2, 4, and 9 is 36.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Isabella sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
105 visitors purchased no costume.
41 visitors purchased exactly one costume.
8 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.
The total number of visitors is 105 + 41 + 8 = 154.
The number of visitors who purchased one or more costumes is 41 + 8 = 49.
So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.
Find the x intercepts. Show all possible solutions.
For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.
f(x) = 7/8x² - 14
Substitute f(x) with 0 -
0 = 7/8x² - 14
Add 14 to both sides -
7/8x² = 14
Multiply both sides by 8/7 -
x² = 16
Take the square root of both sides -
x = ±4
Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.
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An airplane can travel 370mph in still air. If it travels 2737 miles with the wind in the same length of time it travels 2443 miles against the wind, what is the speed of the wind?
Given:
An airplane can travel 370 mph in still air
If it travels 2737 miles with the wind in the same direction of the speed
Let, the speed of the wind = x
speed = distance over the time
\(x+370=\frac{2737}{t}\rightarrow(1)\)And it travels 2443 miles at the same time against the wind
\(-x+370=\frac{2443}{t}\rightarrow(2)\)Solve the equations to find x, and t
Add the equations:
\(\begin{gathered} 370\cdot2=\frac{1}{t}(2737+2443) \\ t=\frac{2737+2443}{2\cdot370}=7 \end{gathered}\)Substitute with (t) into equation (1) to find (x)
\(\begin{gathered} x+370=\frac{2737}{7} \\ x+370=391 \\ x=391-370 \\ x=21 \end{gathered}\)So, the answer will be:
The speed of the wind = 21 mph
A bus holds 39 passengers. How many buses will 420 people need
Answer:
11 buses
Step-by-step explanation:
The temperature in Minneapolis at 9 a.m. was −8°F. By noon, the temperature had risen by 8°F. What was the temperature at noon? Drag and drop the label on the number line to show the temperature at noon.
PLEASEEEEEEEEE HELPPPPPPPPPP FASTTTTTTTTTTT
Help I’m being timed!!
Answer:
true I think. I rember some, sorry if its wrong
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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help please :((( this is the last math problem
Answer:
11.53 degrees.
Step-by-step explanation:
ok so we know the hyp and opp sides. this means that it is sin. according to SOHCAHTOA we do sin^-1(2/10). you should get 11.53
Answer:
11.5396°
Step-by-step explanation:
Please see the attached image
We can do sin(x)=2/10, which simplifies to sin(x)=1/5
To get x by itself do \(x=sin^{-1}\)(1/5) which ≈11.5396°
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
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Use distributive property to solve the problem
6 (3m + 2) + m
WILL GIVE BRAINLIEST
4cos4(x)-5cos2(x)+1=0 from[0,2pi]
If you could can you give steps please
Answer:
x = {0, π/3, π, 4π/3}
Step-by-step explanation:
4cos⁴(x) - 5cos²(x) + 1 = 0
(u² - 1)(4u² - 1) = 0
u² - 1 = 0
u² = 1
u = ± 1
cos x = ± 1
=> x = 0 or π
4u² - 1 = 0
4u² = 1
u² = 1/4
u = ± 1/2
cos x = ± 1/2
=> x = π/3 or 4π/3
Therefore, x = {0, π/3, π, 4π/3}.
Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $700, 3 prizes of $100, 5 prizes of $10, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket?
This raffle's expected value per ticket is $ 0.25.
Given that 5,000 tickets are sold at $1 apiece for a charity raffle, and tickets are to be picked at random, the following monetary prizes will be awarded.
To estimate the expected value of this raffle if you buy 1 ticket, apply the following calculation: 1 prize of $ 500, 3 prizes of $ 200, 5 prizes of $ 10, and 20 prizes of $ 5.
⇒ (500 + 3 x 200 + 5 x 10 + 20 x 5) / 5000 = X
⇒ (500 + 600 + 50 + 100) / 5000 = X
⇒ 1250/5000 = X
Apply the division operation, and we get
⇒ 0.25 = X
Therefore, this raffle's expected value per ticket is $ 0.25.
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Hello ! Can anyone help me with this ! Please and thank you
Answer:
Thank you for being so kind! X=15
Step-by-step explanation:
each expression combined is equal to 180.
so you must put 5x+9+7x-9 and solve to get 15!
please help i’ll give brainlist :)
Answer:
the value is 8
Step-by-step explanation:
when 30 is subtracted from 14 times of a number the result is 20 more than 4 times that number what is the number
Answer:
number is 5
Step-by-step explanation:
let the number be n, then
30 subtracted from 14 times the number is
14n - 30
the result is 20 more than 4 times the number, that is
4n + 20
the equation is then
14n - 30 = 4n + 20 ( subtract 4n from both sides )
10n - 30 = 20 ( add 30 to both sides )
10n = 50 ( divide both sides by 10 )
n = 5
the number is then 5
When a country imports more than its exports,it has a(n)
When a country imports more than how much it gives, it has a trade deficit.
HELP!! NEED TODAY!!
Find the value of x in each case.
Answer:
x = 14
Step-by-step explanation:
∠ DCA and ∠ BCF are adjacent angles and sum to 180° , then
∠ DCA = 180° - 124° = 56°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
6x is an exterior angle , then
6x = 2x + 56 ( subtract 2x from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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Point T lies on
RS
such that the ratio of the length of
RT
to the length of
TS
is 4:5. Graph T.
Answer:
17:5
Step-by-step explanation:
the graph of T is given below.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here. we have,
given that,
Point T lies on RS such that the ratio of the length of RT to the length of TS is 4:5. Graph T.
the graph of T is given below.
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I want my answer please help
Answer:
This is pretty simple
Step-by-step explanation:
So the only thing you need to know about negatives and positives is that if your multiplying or dividing a number with 1 negative in the expreession/equation The answer will always result in a negative. If its 2 negatives its always positive. Thats all you need to know and then just solve it from there.
Answer:
See explanation and picture below.
Step-by-step explanation:
In both multiplication and division of 2 numbers, different signs give you negative and equal signs give you positive.
In other words, positive & positive or negative and negative give you a positive answer.
Negative and positive or positive and negative give you negative answer.
Derivative/Derivada
1) In(2x²-x)
The derivative is f'(x) = (4x - 1) / (2x² - x).
To find the derivative of the function f(x) = ln(2x² - x), we can use the chain rule.
Begin by identifying the function to be differentiated, which is f(x) = ln(2x² - x).
Apply the chain rule, which states that if we have a composition of functions, f(g(x)), the derivative is given by (f'(g(x))) g'(x).
Let's consider the inner function g(x) = 2x² - x.
To differentiate g(x), we need to apply the power rule and the constant rule. The derivative of 2x² is 4x, and the derivative of -x is -1.
Now, we differentiate the outer function f'(g(x)). The derivative of ln(x) is 1/x.
Finally, we multiply the derivatives obtained in steps 3 and 4. Thus, the derivative of f(x) = ln(2x² - x) is:
f'(x) = (1 / (2x² - x)) * (4x - 1)
Simplifying further, we have:
f'(x) = (4x - 1) / (2x² - x)
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What is 68/12 simplified??
Answer:
17/3 or 5.66
Step-by-step explanation:
68/12
by 2
34/6
by another 2
17/3
I WILL MARK BRAINLIEST!!! I NEED HELP!! MY PARENTS ARE IN THE HOSPITAL I HAVE NO ONE TO ASK FOR HELP!!! I HAVE TWO MINUTES LEFT!!! I AM FINISHING THIS COURSE TO MAKE THEM PROUD!!! SOMEONE HELP!!!
Answer:
D
Step-by-step explanation:
Solve the equation 10 = 3x -6
x=16/3
Step-by-step explanation:Add 6 to both sides10=3x-6
10+6=3x-6+6
Add the numbers10+6=3x-6+6
16=3x-6+6
Take away -6 from 616=3x-6+6
Divide both sides by the same factor16=3x
16/3 3x/3
Cancel terms that are in both the numerator and denominator16/3 3x/3
16/3
Answer: x=16/3Find the length of arc AB
The measure of arc length of the given circle is 10.99 in
What is the arc of a circle?An arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve.
Given that, is a circle with center O and radius 7 in with an arc measuring 90°
We need to find the length is the arc,
Length of arc = θ / 360° × circumference
Where, θ is central angle.
θ = central angle = 90°
Length of arc AB = 90° / 360° × 2 × 3.14 × 7
= 10.99 in
Hence, the measure of arc length of the given circle is 10.99 in
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John states that the product of two real numbers is a real number. Extending this to imaginary numbers John states that the product of two imaginary numbers must be imaginary. Is his statement correct?
Answer:
no because these "imaginary numbers" can have the same value as 2 real numbers that add up to a real number. Example:7 3+4=7 x+y (Algebra so not real numbers)= infinite possibilities
Step-by-step explanation:
Let f(x) = 5(3)x
The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).
Choose the equation of g(x).
Responses
g(x) = 10(3)xg(x) = 10(3)x
g(x) = 7(3)xg(x) = 7(3)x
g(x) = 2(3)xg(x) = 2(3)x
g(x) = 5(6)x
The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).
The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.
Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.
In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.
Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):
⇒ g(x) = 2 × 5(3)x = 10(3)x
Therefore, the required equation is g(x) = 10(3)x.
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