Answer:
V=a cubed
Step-by-step explanation:
Please send me answer please
the answer will be
11.25÷15=0.75Hooe it helps!
work out the number of ham sandwiches Tina had
Answer:
Number of ham sandwiches Tina made = 60
Step-by-step explanation:
Total number of sandwiches = 480
Fraction of total sandwiches which are Tuna = [tex]\frac{3}{8}[/tex]
Therefore, number of Tuna sandwiches = [tex]480\times \frac{3}{8}[/tex]
= 180
Percentage of beef sandwiches = 35%
Therefore, beef sandwiches = [tex]480\times \frac{35}{100}[/tex]
= 168
Ratio of ham sandwiches (h) and cheese sandwiches (c) = 5 : 6
[tex]\frac{h}{c}=\frac{5}{6}[/tex]
[tex]c=\frac{6}{5}h[/tex] ------(1)
Total number of Tuna sandwiches + Total number of beef sandwiches + Total number of ham sandwiches + Total number of cheese sandwiches = 480
180 + 168 + h + c = 480
h + c = 480 - 348
h + c = 132
Substitute the value of c from equation (1),
[tex]h+\frac{6}{5}h=132[/tex]
[tex]\frac{11}{5}h=132[/tex]
[tex]h=\frac{132\times 5}{11}[/tex]
[tex]h=60[/tex]
Therefore, number of ham sandwiches Tina made = 60
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Answer:
Given : A=(1,2)≡(x
1 ,y
1
) and B=(3,−2)≡(x
2
,y
2
)
Let M=(x,y) be the midpoint of AB
x=(
2
x
1
+x
2
) and y=(
2
y
1
+y
2
)
Then, x=
2
1+3
and y=
2
2−2
⟹x=2 and y=0
∴M=(2,0)
∴ Coordinates of the midpoint of AB is (2,0)
Step-by-step explanation:
Increase £16470.45 by 13.5% Give your answer rounded to 2 DP. Someone help pls
Answer: £18693.96
Step-by-step explanation:
13.5% = 0.13516470.45 + 16470.45(0.135)
= 16470.45(1 + 0.135)
= 16470.45(1.135)
≈ 18693.96
y = 2x + 3
y=2x-1
The system has how many solutions?
one solution
two solutions
no solution
an infinite number of solutions
Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius 4
Answer:
The length and width that maximize the area are:
W = 2*√8
L = 2*√8
Step-by-step explanation:
We want to find the largest area of a rectangle inscribed in a semicircle of radius 4.
Remember that the area of a rectangle of length L and width W, is:
A = L*W
You can see the image below to see how i will define the length and the width:
L = 2*x'
W = 2*y'
Where we have the relation:
4 = √(x'^2 + y'^2)
16 = x'^2 + y'^2
Now we can isolate one of the variables, for example, x'
16 - y'^2 = x^'2
√(16 - y'^2) = x'
Then we can write:
W = 2*y'
L = 2*√(16 - y'^2)
Then the area equation is:
A = 2*y'*2*√(16 - y'^2)
A = 4*y'*√(16 - y'^2)
If A > 1, like in our case, maximizing A is the same as maximizing A^2
Then if que square both sides:
A^2 = (4*y'*√(16 - y'^2))^2
= 16*(y'^2)*(16 - y'^2)
= 16*(y'^2)*16 - 16*y'^4
= 256*(y'^2) - 16*y'^4
Now we can define:
u = y'^2
then the equation that we want to maximize is:
f(u) = 256*u - 16*u^2
to find the maximum, we need to evaluate in the zero of the derivative:
f'(u) = 256 - 2*16*u = 0
u = -256/(-2*16) = 8
Then we have:
u = y'^2 = 8
solving for y'
y' = √8
And we know that:
x' = √(16 - y'^2) = √(16 - (√8)^2) = √8
And the dimensions was:
W = 2*y' = 2*√8
L = 2*y' = 2*√8
These are the dimensions that maximize the area.
For which equations below is x = -3 a possible solution? Select three options.
|x|=3
|x|=-3
|-x|=3
|-x|=-3
-|x|=-3
Answer:
-|x|=-3
|x|=-3
|-x|=-3
Step-by-step explanation:
Answer:
Only -lxl = -3 works
Step-by-step explanation:
The other options don't work because they all have numbers inside of the absolute value brackets. You would always get a positive end value when the absolute value equation is applied.
The last one is the only one that works because the negative is outside of the absolute value bracket. Therefore, if you plug in 3 for x, it will give you -3.
The daily listening audience of an AM radio station is five times as large as that of its FM sister station. If 144,000 people listen to these two radio stations, how many listeners does the FM station have?
Answer:
The number of FM listereners are 24000.
Step-by-step explanation:
Let the listeners of FM are p and thus the istereners of AM are 5p.
According to the question,
p + 5 p = 144000
6 p = 144000
p = 24000
The number of FM listereners are 24000.
Sam rolls a fair dice and flips a fair coin.
What is the probability of obtaining an odd number and a head?
Answer:
1/4
Step-by-step explanation:
Given an event A and event B, the probability of both happening can be determined by multiplying the two individual probabilities.
We can start by finding the individual probabilities
The probability of rolling an odd number is 3/6 = 1/2, as there are 3 odd numbers (1,3,5) on a die and 6 possibilities total. Furthermore, there is a equal chance of rolling each number as it is a fair die
The probability of flipping a head is 1/2, as there are two equal possibilities (heads and tails), with one of them being heads
To find the probability of both happening, we can multiply them to get (1/2) * (1/2) = 1/4
help me please!!!!!!!!
Answer:
1/2
Step-by-step explanation:
A trader bought some oranges at 5c each She finds that 6 of them are rotten. She sells the rest at 8c each and makes a profit of $4,50. How many oranges did she buy? (Hint: let the number of oranges be x. Work in cents.)
can someone please help me
s part of a science experiment, Natasha drops a bouncy ball from various heights, h, and observes the height to which the ball rebounds, r. The table shows the results of Natasha's experiment.
Initial height, h (in meters) Rebound height, r (in meters)
0.30 0.24
0.50 0.4
0.80 0.64
1.00 0.8
1.20 0.96
Answer: r = 0.6h
your welcome :D
Answer:
The actual correct answer is r = 0.8h
Step-by-step explanation:
You divide 0.24 ÷ 0.30 and get 0.8
Do the same thing for all the rest of the numbers but,
you must put the numbers that are on the right FIRST then divide them by the numbers on the left, all of these are the same answer which means it's
r = 0.8h
Hope this helps!
the green line below _____ check all that apply
Answer:
A, C, and D
Step-by-step explanation:
Answer:
the answer is A, C And D
Step-by-step explanation:
ADC
Given f(x)= 2^x and g(x)=x^2 answer the questions that follow
a. Your friend claims the graph of f(x)=2x increases at a faster rate than the graph of g(x)=x2 when x ≥ 0. Is your friend correct? Explain your reasoning.
b. How are the 2 functions different?
PLEASE HELP
Answer:
a. Yes it's correct, reasons;
I) let x=1, f(1)=2^1=2, g(x)=1^2=1 this proves that when a higher number is used the value of f(x) will be higher than g(x).
ii) As x approaches zero f(x) approaches 1, but g(x) approaches 0. Which will make the rate at which the graph of f(x) increase be faster than g(x)
b. f(x) has an infinite degree but g(x) has a finite degree of 2.
Are the two triangles similar. If so, State how
Answer:
SAS
Step-by-step explanation: every triangle contains a total of 180 degrees if you substract 180 by 60+70(which is 130) you would get 50 degrees which is the exact degree missing in the first triangle, so after confirming that both triangles have an equal degrees on each side the answer would be SAS (which stands for Side-Angle-Side), SAS is the answer you would give to triangles that are congruent(equal)
If “the notation arcsin x represents the inverse function to sine” is true or false.
If “the notation arcsin x represents the inverse function to sine” is true when the sine function is to the interval [ -pi/2, pi/2 ].
What is the sin function?The sine function is one of the three primary functions in trigonometry, the others being cosine, and tan functions.
The confusion is compounded by the fact that we use the notation sin⁻¹(x) interchangeably with arcsin(x), and we call it the inverse sine.
Here is a counterexample disproving your given statement:
Let x = π.
The value π is in the domain of sin(x).
arcsin[sin(π)] = arcsin(0) = 0
arcsin[sin(π)] ≠ π
Therefore arcsin(x) is not the inverse of sin(x).
If you restrict the sine function to the interval [ -pi/2, pi/2 ]. Otherwise, arcsin will not be a function.
Hence, If “the notation arcsin x represents the inverse function to sine” is true when the sine function is to the interval [ -pi/2, pi/2 ].
Learn more about sin function here;
https://brainly.com/question/14397255
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If < A and < B form a linear pair, and < A = x - 13 degrees, and < B = x + 7 degrees, then find x.
Select one:
a. 124
b. 101
c. 46
d. 93
Answer:
d
Step-by-step explanation:
A linear pair sum to 180° , then
x - 13 + x + 7 = 180
2x - 6 = 180 ( add 6 to both sides )
2x = 186 ( divide both sides by 2 )
x = 93 → d
A circle has a diameter with endpoints (-8,2) and (-2,6). What is the equation of the circle?
Answer:
the equation would be (x+5)2+(y−4)2=r2
Step-by-step explanation:
The equation would be
(x+5)2+(y-4)2=r2
identify the volume of a sphere if it has a surface area of 465 square units
Step-by-step explanation:
S.A = 465
4πr²= 465
r². = 36.9
r. = 6.08
volume of a sphere = 4/3πr³
= 4/3π * 6.08³
= 941.8 cm³
The radius of the sphere will be 6.08 units. Then the volume of the sphere will be 942.87 cubic units.
What is the volume of the sphere?A circular solid object or its surface whose points are all equally spaced from the center.
Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The surface area of the sphere will be 465 square units.
The surface area of the sphere is given as,
SA = 4πr²
Then the radius of the sphere will be
4πr² = 465
r² = 37
r = 6.08 units
Then the volume of the sphere will be
V = 4/3 π (6.08)³
V = 4/3 π x 225.09
V = 300 π
V = 942.87 cubic units
Thus, the volume of the sphere will be 942.87 cubic units.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
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PH Find the expected value of the winnings from a game that has the following payout probability distribution: 1 2 Payout ($) 0 5 10 0.1 Probability 0.12 0.2 0.38 0.2 Expected Value = [?] Round to the nearest hundredth.
Answer:
2.96
Step-by-step explanation:
Just multiply the payout by its probability
0*.12+1*.2+2*.38+5*.2+10*.1=2.96
m.c.m (35;50)
m.c.d (35;50)
m.c.m (116;92)
m.c.d (116;92)
Answer:
hxgdhsksuflskjtnsjfbdyfyjagdjxfhhfbejfbodwkkgodl
A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p?
0.07p
0.93
1.07
7.000
HELP PLS SMb!
Answer:
0.07.
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
I need some help with this one. Please give it a go! Thank you for your time.
Answer:
Step-by-step explanation:
Hello there
I'm also a student so I'm not 100% sure on this one, but I think I know.
Usually when you have functions you just replace the letters for their value:
f = 11x
g = x² - 6x + 3
h = -x + 4
Th exercise is asking for (g * h) (x)
Since there are parenthesis, here's what we have:
[(x² - 6x + 3)(-x + 4)](x)
Use the left side of the equation:
[(x² - 6x + 3)(-x + 4)](x)
And solve it:
-x³ + 6x² -3x + 4x² - 24x + 12
That's equal to
-x³ + 10x² -27x + 12
Multiply all that by that x on the left:
-x^4 + 10x³ -27x² + 12x
No idea if that's right so please tell me
PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answer:
I only have the answer for B
Step-by-step explanation:
This is the answer: 1st blank: 7y
2nd blank: 9
3rd blank: 42xy
The perimeter of a square is 80cm
state the length of one of its side
Answer:
20cm
Step-by-step explanation:
a square has 4 equally long sides.
when we know its perimeter, that means we know the sum of all 4 sides.
since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.
80/4 = 20cm
x+3=5 . Find x in the given equation
Answer:
2
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
Therefore, x=2 in the given equation
Answer:
2
Step-by-step explanation:
x+3=5
x=5-3
x=2
Hope it helps
Which method is used in elimination to find the solutions of a - b = 9 and a + b = 5?
The substitution method is used in elimination to find the solution to the equation.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation P: a - b = 9
Equation Q: a+b=5
The value obtained from the equation P is;
a - b = 9
a=b+9
Substitute the value in the equation Q;
a+b=5
b+9+b=5
2b=9-5
b=2
The value of a is;
a-b=9
a-2=9
a=9+2
a=11
Hence the value of a and b will be 11 and 2.
To learn more about the system of two equations, refer to the link;
https://brainly.com/question/21620502
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What is the value of x?
Enter your answer in the box.
3 of item A, 7 of item B and 1 of item C in a toy collection cost $31.50. 4 of item A, 10 item B and 1 C in the same collection cost $42. Find the price of item A+B+C.
bAnswer: the answers is most likely a because of the nomination
Step-by-step explanation:
. It is known that the glucose level in blood of diabetic persons follows a normal distribution model with mean 106 mg/100 ml and standard deviation 8 mg/100 ml. a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml. b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?
Answer:
a. 0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
b. 0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 106 mg/100 ml and standard deviation 8 mg/100 ml
This means that [tex]\mu = 106, \sigma = 8[/tex]
a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
This is the p-value of Z when X = 120. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = 1.75[/tex]
[tex]Z = 1.75[/tex] has a p-value of 0.9599
0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?
The proportion is the p-value of Z when X = 120 subtracted by the p-value of Z when X = 90. So
X = 120
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = 1.75[/tex]
[tex]Z = 1.75[/tex] has a p-value of 0.9599
X = 90
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
0.9599 - 0.0228 = 0.9371
0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.
