Answer:
area=πr√{h^2+r^2}
area=704cm^2, Height(h) =25cm
therefore,
by solving, πr√{h^2+r^2}=704cm^2
you will get value of r.
now, volume=πr^2×h/3
putting all values answer will come
Step-by-step explanation:
Richard, Angad and Paul share £108 in a ratio 2:3:1. How much money does each person get?
Answer:
Step-by-step explanation:
If R, A, and P all share 108 pounds in the ratio of 2 to 3 to 1, then
2x + 3x + 1x = 108 and
6x = 108 so
x = 18.
R holds the ratio of 2x, so he gets 2(18) which is 36;
A holds the ratio of 3x, so he gets 3(18) which is 54;
P holds the ratio of 1x, so he gets 1(18) which is 18.
36 + 54 + 18 better equal 108...and it does!
What is the midpoint of the segment shown below?
Answer:
It is C (4,3). Hope it helps.
Answer:
C. (4,3)
Step-by-step explanation:
To find the midpoint you must individually add the X's and the Y's and divide by 2. For example in this case, -2+10=8 divide by 2 and get 4. Then 3+3=6 divide by 2 is 3. It's that simple.
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error.
Answer: The answer is provided below
Step-by-step explanation:
A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.
The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:
= 60% of $30.65
= 60/100 × $30.65
= 0.6 × $30.65
= $18.39
The new selling price = $30.65 - $18.39
= $12.26
The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.
What is the units digit of $7^7$ when expressed as an integer?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Just stick it into a calculator lol
What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
Connor jogs at a constant rate of 3.5 miles per hour. The table shows the distance traveled for different numbers of hours. Drag each list, statement, or equation below to show whether it describes the independent quantity, the dependent quantity, or neither.
Answer:
Dependent quantity: 3.5, 10.5, 7, 14, 17.5 and distance travelled
Independent quantity: 1,2,3,4,5 and time spent jogging.
Neither: m=3.5h
See explanation below
Question:
A question related to this can be found on brainly (ID 9524195).
Step-by-step explanation:
For an equation, let's consider a linear equation: y = mx+ c
The dependent quantity is y. This is because the value of y depends on the independent quantity (x), the slope(m) and the intercept (c)
The independent quantity is x as it's value doesn't depend on other variables.
We are to identify dependent quantity, independent quantity and a quantity that does fall under the two (that is neither).
Rate = distance travelled/time
Let d = distance travelled in miles
t = time in hours
R = d/t
d = Rt
Here, d is the dependent quantity and t is the independent quantity.
m = 3.5h is an equation and not a quantity. It can't be categorised under any of the two.
Therefore distance travelled and values under it are dependent quantity, time spent on jogging and values under it are independent quantity while the expression m= 3.5h is neither a dependent or independent quantity
Find attached the table and the workings.
I D K if we got the same quetiton but heres an answer
The difference of the range and the interquartile range of the data set represented by the box plot is ______.
Answer:
10
Step-by-step explanation:
==>The range of the data set is the difference between the largest value of the data set (34) and the smallest value of the data set (16).
Range = 34 - 16 = 18
==>The interquartile range is the difference between the Q3 and the Q1.
Q3 = 29 (the data set value at the end of the box to our right)
Q1 = 21 (the data set value at the beginning of the box on our left)
IQR = 29 - 21 = 8
==>The difference between the range and the IQR = 18 - 8 = 10
When solving, you took the square root of both
sides of the equation. Consider this step when
completing the following statements.
The roots are imaginary because of the
1) negative radicand.
2) non perfect square radicand
3) need to identify + and - roots of the radicand
Answer:
Step-by-step explanation:
Negative Radicand
The roots of the equation are imaginary because of negative radicand.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.
According to the given question.
We have to take square root both sides of the equation.
Then we get imaginary roots only when there is some negative number under the radical symbol. That is when the radicand is negative.
Hence, the roots of the equation are imaginary because of negative radicand.
Thus, option 1 is correct.
Find out more information about imaginary roots here:
https://brainly.com/question/12436700
#SPJ3
Let a and b be real numbers, where a≠b≠0 Which of the following functions could represent the graph on the right?
f(x) = x (x – a)(x – b)2
f(x) = (x – a)(x – b)2
f(x) = x(x – a)³(x – b)
f(x) = x2(x – a) 2(x – b)2
Answer:
f(x) = x (x – a)(x – b)^2
Step-by-step explanation:
edge
f(x) = x (x – a)(x – b)^2 represent the graph on the right. Therefore, the correct option is option A.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between multiple items are frequently represented by the points on a graph.
The display of numerical data in a bar graph consists of rectangles (or bars) with equal widths and different heights. The distance between each bar is the same across the board. Bar graphs may be displayed vertical or horizontal. Each bar's value is directly correlated with either its height or length. f(x) = x (x – a)(x – b)^2 represent the graph on the right.
Therefore, the correct option is option A.
To know more about graph, here:
https://brainly.com/question/29183673
#SPJ7
Your question is incomplete but most probably your full question was,
Let a and b be real numbers, where a≠b≠0 Which of the following functions could represent the graph on the right?
f(x) = x (x – a)(x – b)2
f(x) = (x – a)(x – b)2
f(x) = x(x – a)³(x – b)
f(x) = x2(x – a) 2(x – b)2
Rectangle PQRS is shown with diagonals, PR and QS. What type of triangle is triangle STR?
Answer:
isosceles
Step-by-step explanation:
Answer:
c on egde
Step-by-step explanation:
The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?
Answer:
68% of jazz CDs play between 45 and 59 minutes.
Step-by-step explanation:
The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?
Let X = playing time of jazz CDs
SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
Now, according to the 68-95-99.7 rule, it is stated that;
68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;
For 45 minutes, z-score is = [tex]\frac{45-52}{7}[/tex] = -1
For 59 minutes, z-score is = [tex]\frac{59-52}{7}[/tex] = 1
This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.
YO PLZ HELP ME W DIS ASAP!!!
Answer:
-6 < y < ∞
Step-by-step explanation:
The range is the value of the output, in this case the value of y
The value is from -6 not including -6 to infinity
-6 < y < ∞
Answer:
C. from -6 to infinity
Step-by-step explanation:
The range is the set of the y-coordinates of the points of the function.
The lowest value of y is -6 or just greater than -6.
All values greater than y are also part of the range.
Answer: Choice C. from -6 or just greater than -6 to infinity
can someone help me to find tsa of entire solid ?
Step-by-step explanation:
Radius is same in both cones....
Slant height of lower cone = 50 cm ( by applying Pythagorean theorem )
TSA of the lower cone = 22/7 × 14 × ( 14 + 50 )
= 2816 cm^2
Total height of the solid = 52.8 cm
Height of the upper cone = 52.8 - 48 = 4.8 cm
TSA of the upper cone = 22/7 × 14 × ( 14 + 4.8 )
= 827..2 cm^2
TSA of the solid = 2816 + 827.2 = 3643.2 cm^2
Is the following graph a linear function, a nonlinear function, and/or a relation
Answer: Option C.
Step-by-step explanation:
Ok, first, a linear function is something of the shape of:
y = a*x + b.
And the graph of those functions is a line, as the name implies, so we can discard that option.
So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.
Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.
Then the correct option is C, nonlinear, and a relationship.
5x+15=45 Solve for x..
Answer: x=6
Step-by-step explanation:
[tex]5x+15=45[/tex]
subtract 15 on both sides
[tex]5x=30[/tex]
divide 5 on both sides
[tex]\frac{30}{5} =6[/tex]
[tex]x=6[/tex]
Your answer will be x=6
All you have to do is take 15 away from both sides. And you will get the answer of 30. Then you devide 5 on both sides and you will get your answer of x=6.
Graph y ≤ (x + 2)^2.
Answer:
Step-by-step explanation:
Please help ASAP Thankies ;-;
Answer:
RT
Step-by-step explanation:
The diameter goes from one side of the circle to the other side passing through the center
The only diameter given is RT
What is the final amount if 893 is decreased by 2% followed by a further 7% decrease? Give your answer rounded to 2 DP.
Answer:
813.88
Step-by-step explanation:
893 × (1 - 2%) × (1 - 7%)
893 × 0.98 × 0.93
= 813.8802
Rounded to two decimal places will give 813.88.
*WILL MARK BRAINLIEST* What solutions to the system of equations graphed below?
Answer:
(-2, 0) and (0, 4)
Step-by-step explanation:
The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)
what is the slope of the graph
Answer:
-1/3
Step-by-step explanation:
the slope is always run over rise.
In this case we ran 1 spot to the right from where the line crosses the y axis and then 3 down.
so that gives us 1/3 but since the line is negative, the slope is also negative
An experimental population of fruit flies increases according to the law of exponential growth. There were 60 flies after the 2nd day of the experiment and 360 flies after the fourth day. How many flies were there in the original population?
Answer:
There were 10 flies originally
Step-by-step explanation:
Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;
V = I(1+r)^d
where V is the number of flies on a particular day
I is the initial number of flies
r is the constant increase in percentage
and d is the number of days.
So we have for the second day;
60 = I(1+r)^2 ••••••(i)
For the fourth day, we have;
360 = I(1+r)^4 ••••••••(ii)
divide equation ii by i; we have;
360/60 = (1+r)^4/(1+r)^2
6 = (1+r)^2
(√6)^2 = (1+r)^2
1 + r = √6
r = √6 - 1
So we can substitute the value of r in any of the equations to get I which is the initial number of flies
Let’s use equation 1
60 = I(1 + r)^2
60 = I(1 + √6 -1)^2
60 = I(√6)^2
60 = 6I
I = 60/6
I = 10 flies
You invest $700 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance of your account after 20 years round your answer to the nearest hundred
Answer:
$2466.55
Step-by-step explanation:
We use the formula for Compound Amount, the amount gotten after a particular time, to find the balance:
[tex]A = P(1 + r)^t[/tex]
where P = Principal = $700
r = rate = 6.5% = 0.065
t = time elapsed 20 years
Therefore:
[tex]A = 700(1 + 0.065)^{20}\\\\A = 700(1.065)^{20}\\[/tex]
A = $2466.55
The balance of the account will be $2466.55
Please help! I need 90 percent on the course and fast! -6x+14<-28 AND 3x+28 < or equal to 25
Hi,
-6x + 14 < -28
-6x + 14 - 14 < -28 - 14
-6x < -42
-6x/-6 > -42/-6
x > 7
S = [ +infinity ; 7 ]
3x + 28 < 25
3x + 28 - 28 < 25 - 28
3x < -3
3x/3 < -3/3
x < -1
S = ] -infinity ; -1 [
Answer:
its no solution
Step-by-step explanation:
i need some help my question is solve 5(x+4)<75
Answer:
x < 11
Step-by-step explanation:
5(x + 4) < 75
5x + 20 < 75
5x < 55
x < 11
Answer:
x<11
Step-by-step explanation:
5(x+4)<75
Expand the brackets.
5x+20<75
Subtract 20 on both sides.
5x+20-20<75-20
5x<55
Divide 5 into both sides.
5x/5<55/5
x<11
If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
Answer:
ab = 2
Step-by-step explanation:
Given equations
ax² +ax + 2 = 0
x² + x + b = 0
root of both the equation
x= 1
then we can plug in x = 1 in both the equation
ax² +ax + 2 = 0 x² + x + b = 0
a*1² +a*1 + 2 = 0 1² + 1 + b = 0
a +a + 2 = 0 1 + 1 + b = 0
2a + 2 = 0 2 + b = 0
2a = - 2 b = -2
a = -2/2 = -1
Thus,
a = -1
b = -2
a*b = -1*-2 = 2
ab = 2
Help idk how to do this
Answer: 58°
Step-by-step explanation:
They say the triangles are equal. And they give us more information for the triangle on the right.
∠E = ∠B
We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)
74 + 48 + ∠E = 180
122 + ∠E = 180
∠E = 58
So therefore ∠B = 58
Answer:
x = 29
Step-by-step explanation:
Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.
All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.
Because the triangles are congruent, ∠E corresponds to ∠B.
Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.
I hope this helps!!
Help help urgently now ❤️That’splease please
Answer:
6566
Step-by-step explanation:
The answer is 6566.
help please 15 points up for grabs
a) P(3) = [tex]\frac{11}{100}[/tex] (or 0.11 or 11%)
b) Number of sixes = P(6) x 500
= [tex]\frac{12}{100}[/tex] x 500
= 12 x 5
= 60
Divide 5 / 1/4 A:9 B:12 C:18 D:20
Answer:
D, 20
Step-by-step explanation:
Put this in a calculator.
Or you can try to work it out yourself.
Have the equation written out.
5/1 / 1/4
Then divide
Hope this helps!
Answer:
20.
Step-by-step explanation:
Please help me please
Answer:
Option 1
Step-by-step explanation:
=> 2-1/2+1
=> (4-1)/2
=> 3/2
=> 1 1/2
Answer:
1[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
2^1-2^-1+2^0= 2-1/2+1=3/2
divide 3 by 2 we can convert the fraction number to rational expresion then you get 11/2
