Answer:
1. $0.48
2. $0.52
3. $0.53
Step-by-step explanation:
12/ $25
24/$46
50/$94
hope this helps
Find area of figure
giving brainliest and 30 points
Diameter=6units
Radius=6/2=3unitsArea:-
πr²/23²π/29π/24.5π units ²How does the volume of a cylinder with a radius of 3 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units?
a. The volume of the cylinder is greater than the the volume of the prism
b. The volume of the cylinder is smaller than the volume of the prism.
C. The volume of the cylinder is the same as the volume of the prism
d.You cannot compare the volumes of different shapes
Answer: B. The volume of the cylinder is smaller than the volume of the prism.
Step-by-step explanation
Did the test!
The volume of the cylinder is smaller than the volume of the prism.
We have given that,
a. The volume of the cylinder is greater than the volume of the prism
b. The volume of the cylinder is smaller than the volume of the prism.
C. The volume of the cylinder is the same as the volume of the prism
d.You cannot compare the volumes of different shapes
We have to determine the,
the volume of a cylinder with a radius of 3 units and a height of 12 units compared to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units.
What is the volume of a cylinder?
[tex]v=\pi r^2h[/tex]
The volume of the cylinder is smaller than the volume of the prism.
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The cost of 1 purse and 1 watch is £27.
The cost of 2 purses and 1 watch is £41.
a) How much does 1 purse cost?
b) How much does 1 watch cost?
The cost of 1 purse will be £14.
And, The cost of 1 watch will be £13.
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 cost of 1 purse and 1 watch is £27.
The cost of 2 purses and 1 watch is £41.
Now,
Let the cost of 1 purse = x
And, The cost of watch = y
So, We can formulate;
⇒ x + y = £27 ......(i)
And, The cost of 2 purses and 1 watch is £41.
So, We can formulate;
⇒ 2x + y = £41 ..........(ii)
Subtract (i) from (ii), we get;
⇒ 2x + y - x - y = 41 - 27
⇒ x = £14
And, From equation (i), we get;
⇒ x + y = £27
⇒ £14 + y = £27
⇒ y = £27 - £14
⇒ y = £13
Thus, The cost of 1 purse will be £14.
And, The cost of 1 watch will be £13.
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HELP ME I NEED THIS DONE
Help please I need it
Answer:
$7,350.00
Step-by-step explanation:
To find out the total amount of money, you need to know the total amount of tickets sold.
So, find out what 20% of 350 is for the second hour and add it to the 350 from the first hour
350 x 0.20 = 70
350 + 70 = 420 total tickets
now you multiply 420 by the amount of money per ticket in order to know the price for all the tickets in both hours
420 x 17.50 = 7,350 dollars total
please help im doing math
Answer:
-1.5-64 timesStep-by-step explanation:
The average rate of change of a function on an interval is the ratio of the change in function value to the length of the interval.
__
f(x)The average rate of change of f(x) on the interval [5, 10] is ...
(f(10) -f(5))/(10 -5) = (-0.1(10²) -(-0.1(5²)))/(10 -5) = (-0.1(10 -5)(10 +5))/(10 -5)
= -0.1(10 +5) = -1.5 . . . . average rate of change of f(x)
g(x)The average rate of change of g(x) is calculated the same way, and the simplification of the calculation is the same. The average rate of change of g(x) is ...
-0.4(10 +5) = -6 . . . . average rate of change of g(x)
ratioThe ratio of the average rates of change is ...
g'(x)/f'(x) = -6/-1.5 = 4
The rate of change of g(x) is 4 times that of f(x).
_____
Additional comment
In the above, we made use of the factoring of the difference of squares in order to simplify the expression: a² -b² = (a +b)(a -b). This let us cancel the denominator factor to show us an interesting fact about the rate of change of a quadratic function.
If we generalize the result we found above, we see that the average rate of change of h(x) = kx² on the interval [a, b] is ....
h'(x) = k(b +a) . . . . . squared term coefficient times the sum of the ends of the interval
You will notice that (b+a)/2 is the midpoint of the interval, so the average rate of change can also be expressed as ...
h'(x) = 2k × (midpoint of interval [a, b])
True or false? In a two column proof, the right column states your reasons.
Answer:
Reasons will be definitions, postulates, properties and previously proven theorems. “Given” is only used as a reason if the information in the statement column was given in the problem. Use symbols and abbreviations for words within proofs.
Step-by-step explanation:
Reasons will be definitions, postulates, properties and previously proven theorems. “Given” is only used as a reason if the information in the statement column was given in the problem. Use symbols and abbreviations for words within proofs.
Find any points of discontinuity for the rational function. y = (x - 1)/(x ^ 2 - 2x - 8)
Answer:
Asymptotic discontinuities at [tex]x = (-2)[/tex] and [tex]x = 4[/tex].
Step-by-step explanation:
A linear function has an asymptotic discontinuity at [tex]x = a[/tex] if [tex](x - a)[/tex] is a factor of the denominator after simplification.
The numerator of this function, [tex](x - 1)[/tex], is linear in [tex]x[/tex].
The denominator of this function, [tex](x^{2} - 2\, x - 8)[/tex], is quadratic in [tex]x[/tex]. Using the quadratic formula or otherwise, factor the denominator into binominals:
[tex]\begin{aligned}y &= \frac{(x - 1)}{x^{2} - 2\, x - 8} \\ &= \frac{(x - 1)}{(x - 4)\, (x + 2)}\end{aligned}[/tex].
Simplify the function by liminating binomials that are in both the numerator and the denominator.
Notice that in the simplified expression, binomial factors of the denominator are [tex](x - 4)[/tex] and [tex](x + 2)[/tex] (which is equivalent to [tex](x - (-2))[/tex].) Therefore, the points of discontinuity of this function would be [tex]x = 4[/tex] and [tex]x = (-2)[/tex].
Please help! Problem is below! Will give brainiest if possible!
Answer:
90 is the answer
Step-by-step explanation:
360° / 4= 90°
Find the equation of the line shown
Answer:
x + y = 9
Step-by-step explanation:
Line is passing through the points (9, 0) and (0, 9)
-> y - intercept (b) = 9
& slope (m) = (9 - 0)/(0 - 9) = 9/(-9) = -1
Equation of line in slope-intercept form is given as:
y = mx + b
Plugging in the values of m and b in the above equation, we find:
y = (-1)x + 9
-> y = -x + 9
-> x + y = 9
This is the required equation of the line
[Note: there are several other points through which line is passing and those points can also be selected for finding the required equation]
help me please why do uniforms have buttons
please work this out
Answer:
? = 85°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum of the angles around a point = 360° , so
interior angle on right = 360° - 250° = 110°
sum the interior angles and equate to 540°
110° + 115° + 120° + 110° + ? = 540° , that is
455° + ? = 540° ( subtract 455° from both sides )
? = 85°
The tenth term of an arithmetic sequence is 73 2 , and the second term is 9 2 . Find the first term.
Answer:
1.2
Step-by-step explanation:
9.2 + 8d = 73.2
d = 8
then first term is 9.2 - d = 1.2
The first term of an arithmetic sequence is 1.2 with a common difference of 8.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
Tenth term of an arithmetic sequence = 73.2 or
a+(10-1)d = 73.2 ....(1)
Second term of an arithmetic sequence = 9.2 or
a+(2-1)d = 9.2 .....(2)
Where a is the first term and d is a common difference.
Solving equations (1) and (2)
From the equation (2) put the value of d in the equation (1), we get:
a+9(9.2-a) = 73.2
a+82.8 - 9a = 73.2
-8a = -9.6
a = 1.2
Thus, the first term of an arithmetic sequence is 1.2 with a common difference 8.
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4x−19=−3x−12
What is the value of x?
Answer:
X = 1
Step-by-step explanation:
1) Move the 3x to the left hand side and change its sign:
4x-19+3x=-12
2) Move 19 to the right hand side and change its sign:
4x+3x=-12+19
3) collect the like terms:
4x+3x= 7x
-12+19= 7
4) Divide both sides by 7
X = 1
Answer:
4x − 19 = −3x − 12
Let's first get rid of any constants, either from the left or right side.
I'll start with the left, by using the inverse operations.
The inverse operation of subtraction (since 19 is negative) is addition.
So, we add 19 to both sides.
Remember that whenever we use inverse operations we need to do the same for the other side, consequently both sides.
+19 +19
Now, we'll end up with:
4x = -3x + 7
Let's get rid of other terms(grouping them), such as -3x.
We do this by adding 3x to both sides because the inverse operation of subtraction (since 3 is negative) is addition.
Add 3x to both sides,
+3x +3x
7x = 7
Get rid of the co-efficient of x, which is 7.
We do this by dividing by 7 from both sides since the inverse operation of multiplication (because 7 is being multiplied by x) is division.
Divide by 7 from both sides:
÷7 ÷7
x = 1, the value of x is 1.
At approximately what angle does the wire meet the ground? 33.6° 39.8° 50.2° 56.4°
The approximate angle that the wire meet the ground is 56.4 degrees
Angle of elevation and depressionThe given set up result in a right triangle. A right triangle has one of its angles as 90degrees.
From the given diagram, we are to caculate the measure of beta. Using the SOH CAH TOA identity
sinβ = opposite/hypotenuse
sinβ = 10/12
sinβ = 0.8333
β = arcsin(0.8333)
β = 56.4 degrees
Hence the approximate angle that the wire meet the ground is 56.4 degrees
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Solve the system of equations. If you answer all today I'll award the brainiest.
Step-by-step explanation:
The answer for C is:
(x,y) = (-166, 34)
I think your teacher wants you to write it as x=-166, x-=34 ? I'm not sure.
And for D it's:
(x,y) =
[tex](x,y) = ( \frac{16}{3}, - \frac{1}{9} )[/tex]
Which would be x= 16/3, x= -1/9
A rectangular prism is 10 millimeters long and 19 millimeters wide. Its volume is 1,919.0 cubic millimeters. What is the height of the rectangular prism?
Answer:
Height of the rectangular prism is 10.1 millimeters
Step-by-step explanation:
Rectangular Prism Formula = Length * Width * Height
1,919mm^3 = 10 mm * 19mm * height
height = 10.1 millimeters
Here is a number line.
A
3
4
Which number is at A?
Circle your answer.
[1 mark]
Pls answer this question
Answer:
third one is the correct answer
Which proportion satisfies the geometric mean (altitude) theorem for the triangle? startfraction 2 over h endfraction = startfraction 3 over m endfraction startfraction 2 over n endfraction = startfraction 3 over h endfraction startfraction 2 over h endfraction = startfraction h over n endfraction startfraction 2 over h endfraction = startfraction h over 3 endfraction
The proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3
Triangular altitutude theoremAccording to the theorem, the ratio similar sides of a right triangle are equal. From the given diagram, we are to determine the proportion satisfies the geometric mean (altitude) theorem for the triangle.
Taking the ratio of the base to the height, we will have:
MK/KL = KL/KN
Substitute the measure of the sides
2/h = h/3
Hence the proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3
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Answer:
its D, 2/h = h/3
Step-by-step explanation:
The volume of a cuboid is 225cm³.
The length is 5cm and the width is 9cm.
Work out the height of the cuboid.
Answer:
5 cm height
Step-by-step explanation:
V = L * W * H
V / (L* W) = H = 5cm height
Select the correct answer. what is the simplified form of ? a. b. c. d.
The correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].
Simplification of the fractionThe given fraction is written as follows;
[tex]3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)[/tex]
[tex]=3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)\\\\= \frac{21}{5} x + 12 - 3 + \frac{5x}{2} \\\\= \frac{21}{5} x +9 + \frac{5x}{2}\\\\= \frac{42x + 90+ 25x}{10} \\\\= \frac{67x}{10} + 9[/tex]
Thus, the correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].
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Answer number 11 please
Please help!!!! 2 questions 50 points!!!!
Answer:
See below ~
Step-by-step explanation:
Question 1
The missing angles
Both the unknown angles have the same value as the other two angles in the triangles are the same∠(missing) = 180 - (72 x 2)∠(missing) = 180 - 144∠(missing) = 36°⇒ The sides are equal
⇒ Angles are not 90°
⇒ It is a rhombus
Question 2
The diagonals of the shape bisect other (Statement 1)NY = NW (given)XN = NZ (given)∠XNY = ∠WXZ (vertically opposite angles)ΔXNY ≅ ΔWXZ (SAS)They form two congruent triangles (Statement 2)From these two statements, it is evident the figure is a parallelogramMissing angle - circle theorem / PLEASE HELP
Answer:
B
Step-by-step explanation:
angles on the circumference of a circle subtended on the same arc are congruent , then
x = 52°
Answer:
D. 20°
Step-by-step explanation:
just do an elimination, since 52° is big then X it obviously can't be 96°. And that leaves us with 32° and 20°. As you can see 32° is bigger than X then it's 20° ♡
1. How do you write 10.02 in fraction form?
2. How do you write 4.21 in a fraction form?
3. How do you write 0.73 in fraction form?
Thank you!!
Han picks a card at random from a stack that has cards numbered 5 through 20. What is the probability of get a number that is greater than 6?
Clementine works at a coffee shop and earns a total of $150 per week. She must pay 11% of her total earnings in taxes. Clementine wants to know how much of her earnings are left over after taxes are paid.
11% of $150 =
10% = $15
1% = $1.50
$15+$1.50= $16.50
$150-$16.50= $133.50
Clementine has $133.50 left
Answer: Taxes: 11 & 16.50 Earnings after: 133.50
Step-by-step explanation: ok
help me with this question please
Answer:
$3h
Step-by-step explanation:
w=$44+$12h
w=$35+$15h
$44+$12h=$35+$15h
-12 -12
$44=$35+$3h
-35 -35
$9=3h
/3 /3
$3=h
Luis’ parents give him x dollars for his monthly allowance. Each month, he must pay $35 for his cell phone. One-sixth of the remaining money can be spent on entertainment. Which function can be used to find the amount in dollars Luis can spend on entertainment?
The linear function that can be used to find the amount in dollars Luis can spend on entertainment is given by:
f(x) = (x - 35)/6.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
He gets x dollars in allowance.$35 is used to pay for his cell phone.One sixth of the remaining money, that is, one sixth of x - 35, is spent on entertainment.Hence, the function is given by:
f(x) = (x - 35)/6.
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