Answer:
1. The volumes are equal.
2. The base areas are equal.
3. The prisms have the same height.
Step-by-step explanation:
I don't see no answered to check all that apply but here is the answers about properties and two prisms
The sum of the two digits of a number is 9. If the tens digit is one-half the units digit, what is the number?
Let t = the tens digit, u = the units digit, and t+u = 9. Which of the following equations would complete the system?
t-u=1/2
t=1/2u
u=1/2t
Answer:
t=1/2u
Step-by-step explanation:
Since t=tens digit and u=units digit, as given in the equation that means that t+u=9. Since the tens digit is one-half the units digit that means: [tex]t=\frac{1}{2}u[/tex] since it's one half the units digit.
The probability distribution for a
random variable x is given in the table.
Answer:
1
Step-by-step explanation:
The probability that a random variable has a particular value or a range of values is the sum of the probabilities associated with each of the values.
ApplicationAll of the x-values in the table are less than or equal to 20, so p(x≤20) is the sum of all of the probabilities in the table.
p(x≤20) = 0.20 +0.15 +0.05 +0.1 +0.25 +0.1 +0.15 = 1.00
The probability is 1 that x ≤ 20.
what is the binomials of x^2+5x-36
Answer:
(x+9) and (x-4)
Step-by-step explanation:
John spent 30 minutes developing an estimate for a job. The job itself took 2 hours, 45 minutes to
complete. What is the ratio of the time spent on the job estimate to the total time spent (including the time
spent calculating the estimate) on this job?
Answer:
Ratio is 11 : 13
Step-by-step explanation:
We are given;
Time to develop estimate = 30 minutes
Time to do the job = 2 hours 45 minutes = (2 * 60) + 45 = 165 minutes
Total time to develop and do job = 165 + 30 = 195 minutes
Thus;
Ratio of time spent on job to total time = 165 : 195
Whrn this is broken further, we have; 11 : 13
For the arithmetic sequence beginning with the terms {11, 17, 23, 29, 35 ...}, what is the sum of the first 17 terms?
a.)
1003
b.)
1116
c.)
896
d.)
1235
Answer:
a.) 1003
Step-by-step explanation:
The formula to find the sum of an arithmetic sequence: Sn = n/2[2a + (n - 1)d], where a is the first term, n is the number of terms and d is the common difference.
1) Let's substitute the values into the formula.
S17 = 17/2[2(11) + (17 - 1)6]
S17 = 17/2[22 + (16)6]
S17 = 17/2[22 + 96]
S17 = 17/2[118]
S17 = 17/2 × 118
S17 = 1003
Therefore, the sum of the first 17 terms of this arithmetic sequence is 1003 (a).
What is the simplified form of i^15 ?
transform the following polar equation into an equation in rectangular coordinates r=2costheta
The equation in rectangular coordinates. (x - 1)² + y² = 1
What are different Coordinate Systems ?There are many types of coordinate system depending upon the usage and ease of working , Spherical , Rectangular , Cylindrical , Polar are the examples of Coordinate System.
It is given that the equation in polar coordinates is r = 2 cosθ
To change in rectangular coordinates
The relation between polar and rectangular coordinate is
x = r cosθ and y = r sinθ
x² + y² = r²
r = 2 cosθ
r² = 2r cosθ
r² = x
so the equation in rectangular coordinate system becomes
x² + y² = 2x
x² - 2x + y² = 0
x² - 2x + 1 + y² - 1 = 0
(x - 1)² + y² = 1
This represents the equation in rectangular coordinates.
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What does RS equal?
Work Shown:
PR*RT = QR*RS
4*15 = 5*RS
60 = 5*RS
RS = 60/5
RS = 12
For more information, check out the intersecting chords theorem. This is the idea where multiplying pieces of two chords leads to the same product. A chord is any segment where both endpoints are on the edge of the circle.
RS is equal to 12.
In a circle, two chords that intersect inside of a circle is given by this formula: PR * RT = QR * RS
Since these two chords are equal, we can set up this equation by putting what we know so far. Since PR * RT = 15 * 14 = 60, and QR * RS = 5 * RS, we get 5 * RS = 60. This is just a simple algebraic expression now.
Dividing by 5 from both sides, we get [tex]\frac{RS}{5}[/tex] = [tex]\frac{60}{5}[/tex].
We then get RS = 12. This wasn't so bad, right?
Hope this helped!
Multiple choice. A square floor mat has a side length of 22 m.
What is the area of the mat as a power?
A. 222 m²
B. 223 m³
3
C. 22² m²
D. 222 m²
Answer:
C
Step-by-step explanation:
.........................
Answer:
c
Step-by-step explanation:I think the answer might be C. because they have asked for the area and the formulae is side multiply by side.
11. Find the area of the given figure?
Answer:
9.62 cm²
Step-by-step explanation:
Area of sectordiameter = 7 cm
r = 7 ÷2 = 3.5 cm
Ф = 45°
[tex]\sf \boxed{\text{\bf Area of sector = $\dfrac{\theta}{360}*\pi r^2$}}[/tex]
[tex]\sf =\dfrac{45}{360}*3.14*3.5*3.5\\\\ = 4.81 \ cm^2[/tex]
Area of the given sectors = 2 *4.81
= 9.62 cm²
Hello!
Let's solve this in step
Let's find the circular region to the left of the center:
[tex]Area = \frac{45}{360}*Area_.formuka_.of_.Circle =\\ Area = \frac{45}{360}*\pi (radius)^2\\ Area = \frac{45}{360} *\pi (3.5)^2\\Area=4.81[/tex]
Now let's find the circular region to the right of the center
⇒ the angle 45° by the vertical angle theorem is equal to the angle
opposite it in the other circular region
⇒ has the same area as the left region
Total Area = 4.81 + 4.81 = 9.62 cm²
Answer: 9.62 square centimeters
Hopefully that helps!
How do the graph of f(x) and f^-1(x) relate?
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
How do the graphs f(x) and f^-1(x) relate?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
These two functions are inverses of each other.
That's the way these two are related to each other.
f^-1(x) is the inverse function of f(x), and f(x) is the inverse function of f^-1(x).
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=They\;are\:inverses}[/tex]
[tex]\boxed{\bf{\space aesthetic \space \not101}}[/tex]
Answer: They are reflections of each other.
Step-by-step explanation:
The graph shows the volume of the ice cubes versus temperatures in degrees Celsius. Which statement is false
The false statement include:
Volume is explanatory variables.Data shows a positive linear relationship.What is a Positive linear relationship?
This relationship between two variables involves them having a positive slope. This means that as volume increases, temperature also increases which isn't the case.
This cause and effect pattern also means that the volume doesn't have explanatory variables.
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Answer:
Volume is the explanatory variable
Step-by-step explanation:
because vanilla is better than chocolate
what is the positive angle less than 2π that is coterminal with 14π/6
Coterminal angles are angles that are made by the positive x-axis of the coordinate plane. The positive angle that is less than 2π and is coterminal with 14π/6 is 1/3π.
What are coterminal angles?Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.
The angle that 14π/6 makes from the positive x-axis is 1/3π, which is equal to 60°.
Hence, the positive angle that is less than 2π and is coterminal with 14π/6 is 1/3π.
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Complete the table for the given rule.
Rule: y=\dfrac{1}{4}x+1y=
4
1
x+1y, equals, start fraction, 1, divided by, 4, end fraction, x, plus, 1
xxx yyy
444
888
121212
PLEASE HELP ASAP
The table is
x | 4 | 8 | 12
y | 1 | 2 | 3
The question is not understandable. The well-formatted question is
Complete the table for the given rule
Rule:
[tex]y=\dfrac{1}{4}x[/tex]
Table:
x | 4 | 8 | 12
y | ? | ? | ?
Evaluation of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the provided number to replace the expression's variable before applying the sequence of operations to simplify the expression.
For instance
On evaluation of y= x+7 when x=3, and x=12
we get y(3) = 3 + 7 = 10 and y(12) = 12 + 7 = 19
The given equation is
[tex]y=\dfrac{1}{4}x[/tex]
So, the table is
x | 4 | 8 | 12
y | 1 | 2 | 3
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Answer:
0
12/4
1.75
in that order
Helppppp !!!!
Which of the graphs below shows the solution set of [2,7]
Answer:
B
Step-by-step explanation:
[] means the endpoints are inclusive. Therefore [2,7] is equivalent to 2 <= x <= 7. So [2,7] represents graph B.
PLSS HELP geometry it's about relations within triangles. need help solving for variables
Using the definition of congruent triangles, the missing measurements are:
23. m = 7; LO = 14; NO = 14
24. x = 15; m∠QTS = 90°
25. p = 3; IJ = 15; KJ = 15
26. r = 3; UW = 48
27. y = 7; m∠DEF = 50°
28. m = 5; p = 10
What are Congruent Triangles?If two triangles are congruent, then all its corresponding sides and angles are equal.
23. The two triangles are congruent by SAS, therefore:
LO = NO
m + 7 = 2m
7 = 2m - m
7 = m
m = 7
LO = NO = m + 7 = 7 + 7 = 14
LO = 14
NO = 14
24. But triangles are congruent by SSS, therefore:
3x = 5x - 30
3x - 5x = -30
-2x = -30
x = 15
m∠QTS = 2(3x) = 6x = 6(15)
m∠QTS = 90°
25. Both triangles are congruent by ASA, therefore:
4p + 3 = 3p + 6
4p - 3p = -3 + 6
p = 3
IJ = KJ = 4p + 3 = 4(3) + 3 = 15
IJ = 15
KJ = 15
26. The two triangles are congruent by SAS, therefore:
5r + 9 = 8r
9 = 8r - 5r
9 = 3r
9/3 = r
r = 3
UW = 2(8r) = 16r = 16(3)
UW = 48
27. Both triangles are congruent by SSS, therefore:
3y + 4 = 5y - 10
3y - 5y = -4 - 10
-2y = -14
y = 7
m∠DEF = 2(3y + 4) = 6y + 8 = 6(7) + 8
m∠DEF = 50°
28. Both triangles are congruent by SSS, therefore:
2m = 10
m = 10/2
m = 5
2p - 5 = p + 5
2p - p = 5 + 5
p = 10
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can someone help with this?
Answer:
146
Step-by-step explanation:
substitute x = 2, y = 3 into the expression
4(2)³ + 2(2)(3) - 2(3) + 3(2)²(3)²
= 4(8) + 12 - 6 + 3(4)(9)
= 32 + 12 - 6 + 108
= 38 + 108
= 146
Use the difference between -2 and 5 to find the distance. The distance is
Answer:
It must be probably √29
Step-by-step explanation:
[tex]distance = \sqrt{ { (- 4)}^{2} + {(5)}^{2} } [/tex]
hope it to be the correct...
Which type of statistics explains characteristics of variables found in a sample and describes, summarizes, and synthesizes collected data
Type of statistical characteristics of variables found in a sample and describes summarizes and synthesizes collected data is a. Descriptive.
Descriptive statistics are used to describe or summarize the characteristics of a sample or data set, such as a variable's mean, standard deviation, or frequency.
Descriptive statistics can be used to describe a single variable (univariate analysis) or more than one variable (bivariate/multivariate analysis). In the case of more than one variable, descriptive statistics can help summarize relationships between variables using tools such as scatter plots.
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The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:
Your question is incomplete. Please read below to find the missing content.
Using the exponential distribution, it is found that:
a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.
b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.
c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.
d) The 90th percentile is of 230,259 hours.
In probability theory and records, the exponential distribution is a non-stop possibility distribution that frequently issues the quantity of time till a few specific events happen. It is a method wherein activities show up continuously and independently at a regular common rate.
As an instance, the amount of time (starting now) until an earthquake occurs has an exponential distribution. Different examples consist of the duration, in mins, of long-distance enterprise phone calls, and the quantity of time, in months, a car battery lasts.
The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:
a. Fails in less than 10,000 hours.
b. Lasts more than 120,000 hours.
c. Fails between 60,000 and 100,000 hours of use.
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?
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Solution :
0.9
0.3012
0.1809
230258.
Given that:
μ = 100,000
λ = 1/μ = 1 / 100000 = 0.00001
a. Fails in less than 10,000 hours.
P(X < 10,000) = 1 - e^-λx
x = 10,000
P(X < 10,000) = 1 - e^-(0.00001 * 10000)
= 1 - e^-0.1
= 1 - 0.1
= 0.9
b. Lasts more than 120,000 hours.
X more than 120000
P(X > 120,000) = e^-λx
P(X > 120,000) = e^-(0.00001 * 120000)
P(X > 120,000) = e^-1.2
= 0.3011942 = 0.3012
c. Fails between 60,000 and 100,000 hours of use.
P(X < 60000) = 1 - e^-λx
x = 60000
P(X < 60,000) = 1 - e^-(0.00001 * 60000)
= 1 - e-^-0.6
= 1 - 0.5488116
= 0.4511883
P(X < 100000) = 1 - e^-λx
x = 100000
P(X < 60,000) = 1 - e^-(0.00001 * 100000)
= 1 - e^-1
= 1 - 0.3678794
= 0.6321205
Hence,
0.6321205 - 0.4511883 = 0.1809322
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?
P(x > x) = 10% = 0.1
P(x > x) = e^-λx
0.1 = e^-0.00001 * x
Take the In
−2.302585 = - 0.00001x
2.302585 / 0.00001
= 230258.5
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Given that polygon PQRS≅ polygon LMNO, identify the congruent corresponding part for PQ
(NO GRAPH PROVIDED)
Answer:
LM
Step-by-step explanation:
Usually these problems would already be in order, so since PQ are the first 2 letters of polygon PQRS, then for LMNO, it's LM.
help please!! which value is greater than 0.4
Answer:
D
Step-by-step explanation:
Lets look at all of the answer choices:
Choice A: 9%
= 0.09
Choice B: 0.125
= 0.125
Choice C = 7.8*10^-2
= 0.078
Choice D = 7/16
= 0.4375(THE ONLY ANSWER ABOVE 0.4)
Answer:
D, 0.4375
Step-by-step explanation:
A, 9% = 0.09
B, 0.125 = 0.125
C, 7.8 * 10^-2 = 0.078
D, 7/16 = 0.375
Your answer will be D, 0.4375 because the other values are less the 0.4.
Towns A,B,C, and D
are located as shown in the accompanying figure. Two highways link Town A to Town D. Route 1 runs from Town A to Town D via Town B
, and Route 2 runs from Town A to Town D via Town C. If a salesman wishes to drive from Town A to Town D and traffic conditions are such that he could expect to average the same speed on either route, which highway should he take to arrive in the shortest time?
If the salesman chooses highway route 1 he will arrive in the shortest time because the distance in route 1 is less than the distance in route 2.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Route 1:
The distance between A and D
Distance of AB:
[tex]\rm AB=\sqrt{(400-0)^2+(300-0)^2}[/tex]
AB = 500 mi
Distance between BD:
[tex]\rm BD=\sqrt{(1300-400)^2+(1500-300)^2}[/tex]
BD = 1500 mi
In route 1 the distance traveled by salesman:
AD = 500 + 1500 = 2000 mi
Route 2:
[tex]\rm AC=\sqrt{(800-0)^2+(1500-0)^2}[/tex]
AC = 1700 mi
[tex]\rm CD=\sqrt{(1300-800)^2+(1500-1500)^2}[/tex]
CD = 500 mi
AD(through C) = 1700 + 500 = 2200 mi
Thus, if the salesman chooses highway route 1 he will arrive in the shortest time because the distance in route 1 is less than the distance in route 2.
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the missing side of the triangle
Answer:
x = √95Step-by-step explanation:
from the sign on the picture it is a rigth triangle
we use pythagoras
x² = 12² - 7²
x² = 144 - 49
x² = 95
x = √95
(x = 9.75)
Answer:
x = [tex]\sqrt{95}[/tex]
Step-by-step explanation:
In this problem, we need to use the Pythagorean theorem.
Pythagorean theorem is a theorem where you can find a side length in a right triangle.
The hypotenuse (The longest side) squared equals the other two side lengths added together after being squared.
In numbers, this will be: (12)^2 = (7)^2 + (x)^2.
144 = 49 + x^2.
95 = x^2
x = [tex]\sqrt{95}[/tex]
We cannot simplify [tex]\sqrt{95}[/tex], so that is the final answer.
A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many different teams can be formed
The team can be formed in 420 different ways
This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.
if r number of objects is to be selected from a pool of n objects, this can be done in nCr number of ways.
[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]
Now If A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;
[tex]_{8} C_{2}=\frac{8!}{2!6!} =28\\_{6} C_{2}=\frac{6!}{2!4!} =15[/tex]
[tex]_{8} C_{2}*_{6} C_{2}=28*15[/tex]
[tex]=420[/tex] teams
Hence, The team can be formed in 420 different ways
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PLEASE HELP ASAP THANK YOU!!
Answer:
Second graph
Step-by-step explanation:
See attached image.
Jennifer went to a farm and bought tomatoes
for $2 per pound and garlic for $3 per pound.
If Jennifer spent $72 on tomatoes and garlic,
how many pounds can she buy if she buys
only garlic?
Answer:
24 pounds of garlic
Step-by-step explanation:
if she spends 3$ per pound, you divide 72 by 3. the answer to that is 24, so if she spends 72 dollars on only garlic, she can buy 24 pounds.
Jennifer can buy 24 pounds of garlic
we see here, that if she spends 3$ per pound, you divide 72 by 3.
The answer would be 24, so if she spends 72 dollars on only garlic,
she can buy 24 pounds.
What is a pound defined as?1: any of various units of mass and weight specifically: a unit now in general use among English-speaking peoples equal to 16 avoirdupois ounces or 7000 grains or 0.4536 kilogram — see Weights and Measures Table
2: the basic monetary unit of the United Kingdom.
What is a division example?In maths, a division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each
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An airplane travels 640 miles from Topeka to Houston in 3.2 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
A) The airplane flies at 210 mi/h with no wind. The rate of the wind is 50 mi/h.
B) The airplane flies at 210 mi/h with no wind. The rate of the wind is 60 mi/h.
C)The airplane flies at 260 mi/h with no wind. The rate of the wind is 60 mi/h.
D)The airplane flies at 260 mi/h with no wind. The rate of the wind is 50 mi/h.
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:
(a - b)3.2 = 640
a - b = 200 (1)
Also:
(a + b)2 = 640
a + b = 320 (2)
The solution to equation 1 and 2 is:
a = 260, b = 60
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
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Geometry question I need help with it
Answer:
True, False, False, False
Step-by-step explanation:
I'll find the lengths of all sides of the drawing before answering individual answers so that it's less confusing.
1) The question says that QR is a perpendicular bisector of TS. This means that the length of TQ and QS is the same. Also, since both triangles TRQ and SRQ share the same side RQ, and the angle between the two segments is 90 degrees, the two triangles are congruent (RTQ and RSQ) using SAS.
2) Side RT and TS will have the same length since the two triangles are congruent. (2x+1) = (4x-3) --> -2x = -4 --> x = 2. We can conclude that x = 2.
3) Now that we know that x = 2, we can find the length of side RS by replacing the x with 2. 4(2)-3 is 5, so RS = 5.
4) We can use the Pythagorean theorem to find RQ (Hypotenuse^2 = Other two sides added after being squared individually). Since the hypotenuse of triangle RSQ is RS which is 5, and one side is 4, we can input those into our equation. (5)^2 = (4)^2 + (RQ)^2. --> 25 = 16 + (RQ)^2 --> 9 = (RQ)^2 --> RQ = 3.
5) Since the two triangles RTQ and RSQ are congruent, side TQ and SQ also have the same length, since CPCTC (Corresponding parts of congruent triangles are congruent). QS is 4, so TQ will also be 4. This means that ST will be 8 (4+4). ST = 8
Now that we have all the clues, all we need to do is choose True or False.
RS = 5 is TRUE
RS = 4 is FALSE
ST = 10 is FALSE
QR = 4 is FALSE
19912 divided by 76000
Answer:
19912/76000=0.262.000000
Answer:
0.262Step-by-step explanation:
19912 76000
-152000 0.262
471200
-456000
152000
-152000
0