Answer:
59.157 cubic centimeters
The volume of a cylinder is calculated by multiplying the area of the base and the height. The volumes of a cylinder and a cone with the same radius and height are shown.
Which describes how to find the volume of a cone?
Answer:
Volume of a cone = ⅓volume of a cylinder
Multiply.
(2x+1)(6x2+8x+9)
Answer: 12x^ 3 + 22x^ 2 +26x + 9
Out of 200 people sampled, 52 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids.
Answer:
0.180144 < p < 0.339856
Step-by-step explanation:
According to the Question,
Given That, Out of 200 people sampled, 52 had kids, Thus the proportion of the mean is 52/200 = 0.26⇒ standard error of the sample is square root(0.26 * (1-0.26) / 200) = 0.031
⇒alpha(a) = 1 - 99/100 = 0.01
⇒critical probability(p*) = 1 - a/2 = 0.995
⇒assuming a normal distribution, look for the z-score associated with 0.995 cumulative probability , z-score = 2.576
⇒margin of error(ME) = 2.576 * 0.031 = 0.079856
the confidence interval is 0.26 + or - 0.0798560.180144 < p < 0.339856
2. Evaluate the function (3pts each) f(x) = 2x2 -*+5 a) f(-2) b) f(2x) c) f(x-1) 3. Find the domain of the function. (5 pts each) 7X-5 a) f(x) = Vax- x²1 b) g(x) = x25x+6 Domain: Domain: 4. Calculate the difference quotient on the following function. You must show work for credit. (5pts) f(x) = 3x2 - 5
Answer:
2a : f(-2) = 15
2b : f(2x) = 8x² - 2x + 5
2c : f(x-1) = 2x² - 5x + 8
3a : x > 1/3
3b : x <> {2,3}
4 : 6x
Step-by-step explanation:
2a.
2×(-2)² - (-2) + 5 = 2×4 + 2 + 5 = 15
2b.
2×(2x)² - 2x + 5 = 2×4x² - 2x + 5 = 8x² - 2x + 5
2c.
2×(x-1)² - (x-1) + 5 = 2×(x² - 2x + 1) - x + 1 + 5 =
= 2x² - 4x + 2 - x + 1 + 5 = 2x² - 5x + 8
3a.
the square root is not defined for negative values, which would happen for any x < 1/3. and for x=1/3 the expression would be a division by 0, which is also undefined.
so, all that is left is x>1/3.
3b.
we must avoid a division by 0. everything else is well defined.
so, when is that expression x² - 5x + 6 = 0 ?
solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/2a
a = 1
b = -5
c = 6
x = (5 ± sqrt(25 - 24))/2 = (5 ± sqrt(1))/2 = (5 ± 1)/2
x1 = (5+1)/2 = 6/2 = 3
x2 = (5-1)/2 = 4/2 = 2
so, these values must be avoided for x. everything else is valid.
4.
(f(x+h) - f(x))/h
for h going to 0.
f(x) = 3x² - 5
f(x+h) = 3×(x+h)² - 5
f(x+h) - f(x) = 3×(x² + 2hx + h²) -5 - 3x² + 5 =
= 3x² + 6hx + 3h² - 3x² = 6hx + 3h²
=>
(f(x+h) - f(x))/h = (6hx + 3h²)/h = 6x + 3h = for h 0 = 6x
Solve the following algebra
4-3(6)-1
Answer:
-15Step-by-step explanation:
4-3(6)-1
= 4 - 18 - 1
= 4 - 19
= -15 (Ans)
Image attached Please help asap
252k is a perfect square. Find any two possible values of k.
solve for the missing values in the table below:
Answer:
The answers to your questions are given below.
Step-by-step explanation:
A. Determination of the length.
Length (cm) = 32
Length (m) =?
Length (mm) =?
I. Determination of the length in m.
100 cm = 1 m
Therefore,
32 cm = 32 × 1 m / 100 cm
32 cm = 0.32 m
II. Determination of the length in mm
1 cm = 10 mm
Therefore,
32 cm = 32 cm × 10 mm / 1 cm
32 cm = 320 mm
B. Determination of the height.
Height (m) = 1.58 m
Height (cm) =?
Height (mm) =?
I. Determination of the height in cm.
1 m = 100 cm
Therefore,
1.58 m = 1.58 m × 100 cm / 1 m
1.58 m = 158 cm
II. Determination of the height in mm
1 m = 1000 mm
Therefore,
1.58 m = 1.58 m × 1000 mm / 1 m
1.58 m = 1580 mm
C. Determination of the width.
Width (mm) = 36 mm
Width (m) =?
Width (cm) =?
I. Determination of the width in m.
1000 mm = 1 m
Therefore,
36 mm = 36 mm × 1 m / 1000 mm
36 mm = 0.036 m
II. Determination of the width in cm
10 mm = 1 cm
Therefore,
36 mm = 36 mm × 1 cm / 10 mm
36 mm = 3.6 cm
D. Determination of the length.
Width (mm) = 105 mm
Width (m) =?
Width (cm) =?
I. Determination of the width in m.
1000 mm = 1 m
Therefore,
105 mm = 105 mm × 1 m / 1000 mm
105 mm = 0.105 m
II. Determination of the width in cm
10 mm = 1 cm
Therefore,
105 mm = 105 mm × 1 cm / 10 mm
105 mm = 10.5 cm
E. Determination of the length.
Length (m) = 2 m
Length (cm) =?
Length (mm) =?
I. Determination of the length in cm.
1 m = 100 cm
Therefore,
2 m = 2 m × 100 cm / 1 m
2 m = 200 cm
II. Determination of the length in mm
1 m = 1000 mm
Therefore,
2 m = 2 m × 1000 mm / 1 m
2 m = 2000 mm
Summary:
Item >>>>>>>> m >>>> cm >>>> mm
A. Lenght >>> 0.32 >> 32 >>>> 320
B. Height >>> 1.58 >> 158 >>>> 1580
C. Width >>> 0.036 >> 3.6 >>>> 36
D. Length >> 0.105 >> 10.5 >>> 105
E. Width >>> 2 >>>>>> 200 >>> 2000
Algebraically manipulating the formula I = Prt, find the principal (PV) deposited in a savings account which earned $11,000 in interest at a simple interest rate of
9.5% for 15 years to the nearest whole cent).
$7,312.07
$8,083.92
$7.719.30
$6,987.44
None of these choices are correct.
Answer: the required principal value is $7,719.30
Step-by-step explanation:
Given: Formula to calculate interest : I= Prt, P=principal value, r = rate of interest, t = time.
I = $11,000
r= 9.5% = 0.095
t= 15 years
Substitute in formula, we get
[tex]11000=(P)\times (0.095)\times(15)\\\\\Righatrrow\ P=\dfrac{11000}{0.095\times15}\approx\$7719.30[/tex]
Hence, the required principal value is $7,719.30
Find RS. Explain your reasoning.
6x + 5=9x - 4
Answer:
x = 3
Step-by-step explanation:
Given the equation :
6x + 5=9x - 4
Collect like terms :
6x - 9x = - 4 - 5
-3x = - 9
Divide both sides by - 3
-3x / - 3 = - 9 / - 3
x = 3
Hence, x = 3
what is cardinal number of set when A={2,4,6,8}
Answer:
4
Step-by-step explanation:
The Cardinal number of a set can be explained as the number of distinct element in a finite set :
Given the set :
A = (1,2,3,4)
The number of distinct element in the set is :
4, hence, the Cardinal number of the set is 4
in a set of data 3,4,5,6,7,8,9,10,11 the probability that an odd number is chosen is
Answer:
5/9, or 56%, or 0.55...
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
a graph of a non-vertical straight line is a?
a) nonlinear function
b) exponential function graph
c) non-function
d) linear function
Answer:
The correct answer is d
Step-by-step explanation:
A graph of a non-vertical straight line is a linear function
What is the median of the data represented in the box plot below?
Answer: 80
Step-by-step explanation: Because it is in the middle.
What is the measure of Angle X? I'm not sure if its B.
Answer:
the sum of all angles in a triangle is 180°.
the two triangles got the same angles I suppose
180-85-25 = 70
70° is the answer
Answer:
X = 70
Step-by-step explanation:
Since ABC is similar to XYZ
Angle A is equal to angle X
We can find angle A since the sum of the angles of a triangle is 180
A + B+C = 180
A + 85+25 = 180
A + 110 =180
A = 180-110
A = 70
X = 70
The town’s annual budget totals $30 million. If ⅖ of the budget goes toward education, how many dollars go to education?
1. Find k, the constant of proportionality, for the given graph.
2. Write an equation of the form y = kx for the relationship shown in the graph.
Answer:
The answer is B or 15.
Step-by-step explanation:
the total money saved divided by the time is always 15
Which system has no solutions?
Answer:
2nd option
y > 6 and y < 2
Step-by-step explanation:
as the value of y can not be greater than 6 and less than 2 at the same time, the 2 inequalities have no common solutions
theefore no solution
.Write the equation of the line with m = 3 going through the point (–2, –5). Put your answer in Slope–Intercept Form.
Answer:
[tex]y = 3x +1[/tex]
Step-by-step explanation:
Given
[tex]m = 3[/tex]
[tex](x_1,y_1) = (-2,-5)[/tex]
Required
The equation
This is calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 3(x - -2) -5[/tex]
[tex]y = 3(x +2) -5[/tex]
Open bracket
[tex]y = 3x +6 -5[/tex]
[tex]y = 3x +1[/tex]
In ΔQRS, the measure of ∠S=90°, RQ = 41, QS = 9, and SR = 40. What is the value of the cosine of ∠R to the nearest hundredth?
Answer:
cos R = .98
Step-by-step explanation:
cos R = SR/QR
QR is the hypotenuse of the right triangle. By the Pythagorean theorem
(QR)^2 = (QS)^2 + (SR)^2
= 9^2 + 40^2
= 81 + 1600
= 1681
QR = 41
Cos R = adjacent side/hypotenuse = 40/41 = .98
The value of the cosine of ∠R to the nearest hundreth is 0.98.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
The sides can also be found using pythagoras theorem. Therefore,
∠S = 90°
RQ = 41
QS = 9
SR = 40
cos R = adjacent / hypotenuse
Therefore,
adjacent side = 40
hypotenuse = 41
cos R = 40 / 41
cos R = 0.97560975609
cos R = 0.98
learn more on right triangle here: https://brainly.com/question/27309330
If MNLP, then 2 _____ 3. Choose the relationship symbol to make a true statement. < > =
Answer:
The answer is > (greater than)
Step-by-step explanation:
It is > because if MN is the larger side and the largest angle would be across from the largest side, then that would make the largest angle, angle 2 and that would in turn make 3 the smaller angle. I know this is correct because I got it right.
Whats the absoulute value of -3
Answer:
3
Step-by-step explanation:
The absolute value of a number is that number's distance from 0.
Therefore, |-3| = 3.
Answer:
the absolute value is the non-negative value of a real number without regard for its sign. so the absoulute value of -3 is 3 you just change the negative sign to a positive.
Step-by-step explanation:
3 is the answer
The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is the difference of the means as a multiple of the MAD?
Answer:
b
Step-by-step explanation:
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77
Step-by-step explanation:
Each girl would have to sell at least 77 boxes of cookies to get over 1,000.
1000 boxes divided by 13 girls is 76.9230... but round up to 77.
Check answer by multiplying 13 by 77 and you get 1,001.
:) ur welcome
Answer:
77 boxesStep-by-step explanation:
Let each cell x boxes, then the sum is:
13x ≥ 1000x ≥ 1000/13x ≥ 76.9 ≈ 77Explain why the equation is not linear.
5/x - y = 1
A. x Should be an exponent.
B. The x variable appears in the denominator.
C. The coefficient of both variables must be equal.
D. There should be an exponent of 2 on either x or y.
Answer:
B. The x variable appears in the denominator.
Step-by-step explanation:
Given
[tex]\frac{5}{x} - y = 1[/tex]
Required
What makes it not linear
First, make y the subject
[tex]y = \frac{5}{x}+1[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Notice that the exponent of x in the general form is: 1
This means that x has to appear as a numerator
In [tex]y = \frac{5}{x}+1[/tex], the exponent of x is -1
This means that x has to appear as a denominator
Hence, (b) is true
Exhibit 11-2 We are interested in determining whether the variances of the sales at two music stores (A and B) are equal. A sample of 25 days of sales at store A has a sample standard deviation of 30, while a sample of 16 days of sales from store B has a sample standard deviation of 20. At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct.
Answer:
Option A , should not be rejected
Step-by-step explanation:
From the question we are told that:
Sample 1 [tex]n=25[/tex]
Standard deviation 1 [tex]\sigma_1=30[/tex]
Sample 2 [tex]n=16[/tex]
Standard deviation 2 [tex]\sigma_2=20[/tex]
Level of confidence [tex]\alpha=95\%=>0.95[/tex]
Generally The Hypothesis are given as
[tex]H_0:\sigma_1^2=\sigma_1^2[/tex]
[tex]H_1:\sigma_1^2\neq \sigma_1^2[/tex]
Generally the equation for test Statistics is mathematically given by
[tex]T=\frac{\sigma_1^2}{\sigma_2^2}[/tex]
[tex]T=\frac{30^2}{20^2}[/tex]
[tex]T=2.25[/tex]
Therefore
Critical Value
[tex]X=(\alpha,df_1)[/tex]
[tex]X'=(\alpha,df_2)[/tex]
Where
[tex]df=n-1[/tex]
Therefore
[tex]X=(0.95,24)[/tex]
[tex]X'=(0.95,15)[/tex]
From Table
[tex]T_{Critical}=T_x,T_{x'}[/tex]
[tex]T_{Critical}=0.41,2.701[/tex]
Therefore
[tex]T_x<T<T_{x'}[/tex]
Hence,We fail to reject the Null Hypothesis [tex]H_0[/tex]
Option A , should not be rejected
Solve the system of equations given below. y - 15 =3x and -2 + 5y = -3
Answer:
y-15=3x balakaksnzujsbhzbskndh
Answer:
x = - 6 , y = - 3
Step-by-step explanation:
y - 15 = 3x => y = 3x + 15 ------- ( 1 )
-2x + 5y = - 3 --------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
-2x + 5 ( 3x + 15) = - 3
-2x + 15x + 75 = - 3
13x = - 3 - 75
13x = - 78
x = - 6
Substitute x in ( 1 ) :
y = 3x + 15
= 3 ( - 6 ) + 15
= - 18 + 15
y = - 3
Solve the following equation: -3x + 10 = 21 *
1 point
x = 11/3
x = -11/3
x = 16/3
x = -16/3
x = 3
x = -3
x = 17
x = -17
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan A, sin A, and cos A. (GIVING BRAINLEST TO BEST ANSWER)
Answer:
see below
Step-by-step explanation:
tan A = opp / adj = 5/12
sin A = opp / hyp = 5/13
cos A = adj / hyp = 12/13
help pleaseeeeee !!!!
Answer:
P(10) = 26237[1 + 0.024]^10
Step-by-step explanation:
From the information given :
Initial population, P0 = 26, 237
Annual growth rate, r = 2.4%
Number of Years, n = 10
The general exponential growth relation is give as :
P(x) = P0(1 + r)^n
Where ;
P(x) = population after x years
P0 = Initial population
r = growth rate
n = number of years
P(10) = 26237[1 + 0.024]^10