We need to operate the next matrixes.
First, subtract the next matrixes:
13 10 7
6 8 1
2 5 0
-
3 -2 6
14 -6 11
8 -12 9
=
13-3 10-(-2) 7-6
6-14 8-(-6) 1-11
2-8 5-(-12) 0-9
=
10 12 1
-8 14 -10
-6 17 -9
Now, the result adds to the next matrix:
10 12 1
-8 14 -10
-6 17 -9
+
6 10 15
10 0 9
1 0 7
=
10+6 12+10 1+15
-8+10 14+0 -10+9
-6+1 17+0 -9+7
=
16 22 16
2 14 -1
-5 17 -2
Therefore, the correct answer is the first one.
If f(x) = x2 and g(x) = 3x - 1, find f(g(x))
Given the following functions:
[tex]\begin{gathered} f(x)=x^2 \\ g(x)=3x-1 \end{gathered}[/tex]To compose then, is basically use the inside function as the argument.
[tex]f(g(x))=f(3x-1)[/tex]If we call '3x-1' as 'u'
We know the following
[tex]\begin{gathered} f(u)=u^2 \\ u=3x-1\Rightarrow f(3x-1)=(3x-1)^2 \end{gathered}[/tex]And this is our answer.
[tex]f(x)=(3x-1)^2[/tex]An iq test is designed so that the mean is 100 and the standard deviation is for the population of normal adults. Find the sample size necessary to estimate the mean iq score of statistics students such that it can be said with % confidence that the sample mean is within iq points of the true mean. Assume that and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
The Required Sample size is 138 . Yes, this number of IQ test Score is a fairly large number.
In the given statements we have , An IQ test is designed such that
the mean of adults ( X bar ) = 100
standard deviations (σ ) = 18
Estimate the mean iq score of statistics students such that the confidence level is 95%
We know the value of Z score for given confidence level 95% is 1.96 .
Margin of error in IQ test = 3
we shall calculate the sample size here.
Using the Margin of error formula,
M.E = Z( √σ ²/n )
where, Z--> z score value
σ --> standard deviations
n ---> sample size
putting all the values in this formula we get ,
3 = 1.96 (√(18)²/n )
=> 3/1.96 = √324/n => (1.5306)² = 324/n
=> n = 324/ 2.342 = 138.29
Hence, the required Sample size is 138 .
To learn more about Sample Size , refer:
https://brainly.com/question/24158610
#SPJ4
Complete question:
An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 3 IQ points of the true mean. Assume that σ =18 and determine the required sample size using technology.
Then determine if this is a reasonable sample size for a real world calculation.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
Carolina needs a total of $6.50 in quarters for a coin-operated car wash. He already has $1.50. Which equation can be used to find g, the
additional quarters Carolina needs in order to have enough money for the car wash?
Answer: 20 quarters
Step-by-step explanation:
As we look at this problem we can convert $6.50 dollars into 26 quarters. Us already knowing that Carolina has $1.50 (6 quarters) we can take the two numbers and minus both of them. 26 quarters ($6.50) - 6 quarters ($1.50) = 20 quarters($5.00)
Step-by-step explanation:
every $ is equivalent to 4 quarters.
every half-$ is equivalent to 2 quarters.
after all, 1 quarter = $0.25.
so, the equation is
4×1.5 + g = 4×6.5
or simplified
6 + g = 26
and from there we get then immediately that
g = 20
1. These are added to a picture to make it look more realistic.
Ospaces
Ohorizon lines
Oshadows
O sketches
(C) Shadows are added to a picture to make it look more realistic by enhancing the aesthetics of the picture.
How does adding shadows affect a picture?For images to be properly balanced, light and shadow contrast is crucial. Shadow can provide drama to a certain area of the composition of an image while light makes an image appear brighter. For black-and-white images, using shadows to add contrast is extremely important because you won't be using color to add interest or contrast. With the addition of depth and realism, shadows can significantly enhance the overall aesthetics and usability of any design. Shadows in design should effectively integrate into the overall design and mimic the real-world, organic behavior of light and shadow-casting.Therefore, (C) shadows are added to a picture to make it look more realistic by enhancing the aesthetics of the picture.
To learn more about shadows visit the below link:
https://brainly.com/question/22167779
#SPJ13
help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
The length of the bar is 10.5 foot and the width of the bar is 5.7 foot .
In the question ,
it is given that
the base area of the large chocolate bar is 59.85 square foot .
let the length of the chocolate bar be "l"
and the breadth of the chocolate bar be "b"
given that the length is 0.9 foot shorter than twice its width , means
l = 2w - 0.9
we have the area of rectangle = length [tex]\times[/tex] width
Substituting the values of length , width and area we get
59.85 = (2w - 0.9 ) * w
59.85 = 2w² - 0.9w
2w² -0.9w -59.85 = 0
On solving the quadratic equation ,
we get w = -5.25 and w = 5.7
width cannot be in negative , so, the width is 5.7 foot .
and l = 2(5.7) -0.9 = 11.4 - 0.9 = 10.5
Therefore , the length of the bar is 10.5 foot and the width of the bar is 5.7 foot .
Learn more about Area here
https://brainly.com/question/11317901
#SPJ1
if the population standard deviation were 10 instead of 5, what effect would this new standard deviation have on margin of error?
If the population standard deviation were 10 instead of 5,Margin of error would rise as a result. A broader width of the confidence interval and a larger margin of error would be the outcomes of a higher standard deviation.
Define margin of error.The margin of error (MOE) for a survey indicates how closely the survey results should be compared to the actual population value. For instance, a poll with a 3% margin of error shows that 72% of respondents prefer Brand A over Brand B.
Given,
If the population standard deviation were 10 instead of 5,
Margin of error would rise as a result. A broader width of the confidence interval and a larger margin of error would be the outcomes of a higher standard deviation. The margin of error diminishes as sample size grows, to be precise. The margin of error rises as population variability does as well. The margin of error grows as the confidence level does.
To learn more about margin of error, visit:
https://brainly.com/question/10501147
#SPJ4
An ostrich farmer wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. there are 540 feet of fencing available to complete the job. what is the largest possible total area of the four pens?
Answer:
135 feet
Step-by-step explanation:
you divide 540÷4 to get the answer
Solve two and one-third times four-fifths equals blank.
four-sixths
one and twelve-fifteenths
one and thirteen-fifteenths
four and four-sixths
The solution to the fraction two and one-third times four-fifths equals one and thirteen-fifteenths.
The correct answer option is option C
How to solve the product of a fraction?A fraction refers to a part of a whole, especially a comparatively small part. It is also the ratio of two numbers, the numerator and the denominator, usually written as one above the other and separated by a horizontal bar.
A numerator is the number above the horizontal bar while the denominator is the number below the horizontal bar in a fraction.
Two and one-third times four-fifths
= 2 1/3 × 4/5
= 7/3 × 4/5
= (7 × 4) / (3 × 5)
= 28 / 15
= 1 13/15
Therefore, the fraction two and one-third times four-fifths equals one and thirteen-fifteenths.
Read more on fraction:
https://brainly.com/question/6109670
#SPJ1
Solve the following exponential 4e^3x-1 = 5
Given
[tex]4e^{3x}-1=5[/tex]
Solving, step-by-step
[tex]\begin{gathered} 4e^{3x}-1=5 \\ e^{3x}=6/3 \\ 3x=\ln 1.5 \\ x=\frac{\ln 1.5}{3} \\ \end{gathered}[/tex]help please!! forr 40 points
Answer:
C.
Step-by-step explanation:
you have to divide the numbers
Answer:
C and about 400 hats
Step-by-step explanation:
So you'd have to round up to 1600 for the first equation and for the second one it's about 400 because 1600/4=400
Don't forget to give brainliest :)
(I need this as an actual equation and solution not just which one it is.. also any people just trying to get credits will result in a report.) The temperature of a cooling liquid is given by the function T(m) = 38 (0.82)" +21, where T represents the temperature in degrees Celsius and m represents the number of minutes, m≥0, that the liquid has been cooling. Which of the following represents a temperature that the liquid does not reach as it cools down?
(1) 53
(2) 16
(3) 41
(4) 28
Answer:
(2) 16°C
Step-by-step explanation:
[tex]T(m)=38(0.82)^m+21[/tex]
Find the temperature at the outset ([tex]m=0[/tex]):
[tex]T(0)=38(0.82)^0+21[/tex]
[tex]T(0)=38(1)+21[/tex]
[tex]T(0)=38+21[/tex]
[tex]T(0)=59[/tex]
Since the liquid is cooling, all temperatures equal to or less than 59°C are valid possibilities. However, over time (represented as [tex]m\rightarrow\infty[/tex]), [tex](0.82)^m[/tex] is reduced towards zero and, as such, [tex]38(0.82)^m[/tex] will be reduced towards zero. All that will remain is [tex]T(m)=21[/tex], which makes it the horizontal asymptote. This is shown in the attached graph.
Therefore, since 16°C falls below the asymptote, it does not represent a temperature that the liquid reaches as it cools down.
A cube has a side length of 3x^6 units. A smaller cube has a side length of x^2 units. How many smaller cubes will fit in the larger cube?
please simplify it because i am a grade 8 student
The number of smaller cube that will fit in the larger cube is 27x¹³ considering their volumes.
Volume of a cubeThe volume of a cube with length l is l × l × l = l³
From the question, we have that the length of the bigger cube is 3x^6 and that of the smaller cube is x² hence;
volume of the larger cube = (3x^6)³
volume of the larger cube = 27x^18
and,
volume of the smaller cube = (x²)³
volume of the smaller cube = x^5
We need to divide the volume of the larger cube by volume of the smaller cube to know what amount of the smaller cube that can fit in to the bigger cube.
So (27x^18)/(x^5) = 27x¹³
Therefore the number of the smaller cube to fit in to the bigger cube is derived as 27x¹³ for any real values of x.
Learn more about volume of a cube here: https://brainly.com/question/1972490
#SPJ1
Can someoen answer this please
Answer:
n general, greater frequency and intensity of climate hazards are more likely to prompt people to migrate when the population is more vulnerable and has a lower capacity to adapt. Climate events can be divided into fast- and slow-onset events.
Step-by-step explanation:
Ginny has a catering buisness. There is a proportional relationship between the number of people and the amount of meat she uses for an event. For 10 people she uses 4 pounds of meat. Find the amount of meat needed for 20, 30, 40, 50, and 75 people.
Explanation:
Let x be the number of people and y be the amount of meat.
They have a proportional relationship:
[tex]y=kx[/tex]To find the constant of proportionality k we use the initial information that for 10 people she uses 4 pounds of meat.
x=10 and y=4:
[tex]\begin{gathered} 4=k\times10 \\ k=\frac{4}{10}=\frac{2}{5} \end{gathered}[/tex]The relationship is:
[tex]y=\frac{2}{5}x[/tex]Now we just have to replace x by 20, 30, 40, 50 and 75 in this relationship and find y
Answer:
Number of people Amount of meat
20 8
30 12
40 16
50 20
75 30
Which of the following expressions is equivalent to the one shown below?312NowΟ Α.OB. 382O c. 3828OD. 8.• (-/-)
Given:
[tex](\frac{3}{2})^8[/tex]Then:
[tex](\frac{3}{2})^8=\frac{3^8}{2^8}^[/tex]ANSWER
C
Solve the system using the substitution technique:(−6, −3.6)(0.6, 0.8)(6, 4.4)(−0.6, 0)
Given
The system of equations,
[tex]\begin{gathered} -2x+3y=1.2\text{ \_\_\_\_\_}(1) \\ -3x-6y=1.8\text{ \_\_\_\_\_}(2) \end{gathered}[/tex]To find the solution using substitution technique.
Explanation:
It is given that,
[tex]\begin{gathered} -2x+3y=1.2\text{ \_\_\_\_\_}(1) \\ -3x-6y=1.8\text{ \_\_\_\_\_}(2) \end{gathered}[/tex]That implies,
[tex]\begin{gathered} (1)\Rightarrow-2x+3y=1.2 \\ \Rightarrow3y=1.2+2x \end{gathered}[/tex]And,
[tex]\begin{gathered} (2)\Rightarrow-3x-6y=1.8 \\ \Rightarrow-3x-2(3y)=1.8 \end{gathered}[/tex]Substitute 3y=1.2+2x in the above equation.
That implies,
[tex]\begin{gathered} -3x-2(1.2+2x)=1.8 \\ -3x-2.4-4x=1.8 \\ -7x=1.8+2.4 \\ -7x=4.2 \\ x=\frac{4.2}{-7} \\ x=-0.6 \end{gathered}[/tex]And, substitute x=-0.6 in (1).
That implies,
[tex]\begin{gathered} (1)\Rightarrow-2(-0.6)+3y=1.2 \\ \Rightarrow1.2+3y=1.2 \\ \Rightarrow3y=1.2-1.2 \\ \Rightarrow3y=0 \\ \Rightarrow y=0 \end{gathered}[/tex]Hence, the solution is (-0.6,0).
Candace order a $4 sandwich a $2 drink in the $3 smoothie for lunch she has $10 as symbols to the equation to represent this situation and solve it
Let's start by adding all the values for what Candace order:
Total for the order: $4 + $2 + $3 = $9
since she has a $10 bill,
she will be able to pay for it, and have the following change back:
$10 - $9 = $1
she will get back $1.
The math equations we created are then:
4 + 2 + 3 = 9
10 - 9 = 1
PROBLEMA 3 Con dos camiones cuyas capacidades de carga son respectivamente de 3 y 4 toneladas, se hicieron en total 23 viajes para transportar 80 toneladas de madera. ¿Cuantos viajes realizó cada camión?
El camión con capacidad de 3 toneladas viajó 12 veces y el camión con capacidad de 4 toneladas viajó 11 veces.
¿Cuántos viajes realiza cada camión?
En este problema encontramos dos camiones, uno de ellos con una capacidad de 3 toneladas y otro con capacidad de 4 toneladas, que desplazan 80 toneladas de madera en un total conjunto de 23 viajes. El total movido por cada camión es igual al producto del número de viajes y la capacidad de los camiones. Por tanto, el total desplazado de madera es igual a la siguiente ecuación:
3 · x + 4 · (23 - x) = 80
Donde x es la cantidad de viajes del camión de 3 toneladas de capacidad.
A continuación, despejamos la variable x:
3 · x + 4 · (23 - x) = 80
3 · x + 92 - 4 · x = 80
92 - x = 80
x = 92 - 80
x = 12
El primer camión viajó 12 veces y el segundo camión viajó 13 veces.
Para aprender más sobre ecuaciones lineales: https://brainly.com/question/16697012
#SPJ1
What figure can be made using the net shown?
a hexagonal prism
an octagonal prism
a hexagonal pyramid
an octagonal pyramid
Answer:
Step-by-step explanation:
an hexagonal pyramid
2. The Access to University course in the college has 252 full-time and 140 part-
time students enrolled this year. What fraction of students are studying part-
time?
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
First, find the total number of students:
[tex]252+140=392[/tex]
Then, divide the number of students at hand by the total number:
[tex]\frac{140}{392}[/tex]
When possible, reduce the fraction to its simpliest form:
[tex]\frac{140}{392}\div\frac{28}{28}=\frac{5}{14}[/tex]
what are like terms
63 + 54
Answer:
There are 3 common factors of 63 and 54, that are 1, 3, and 9. Therefore, the greatest common factor of 63 and 54 is 9.
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.
Hope this helped:)
What is the common difference for the arithmetic sequence?
3.2, 5, 6.8, 8.6, 10.4
help me please!
Answer:
the difference is 1.8
Step-by-step explanation:
5-3.2=1.8
6.8-5=1.8
8.6-6.8=1.8
ect
Describe a transformation that maps triangle abc onto triangle ade.Explain why this transformation makes triangle ade similar to triangle abc
Given:
Triangle ABC is mapped onto triangle ADE.
Required:
The transformation that maps triangle ADE similar to triangle ABC.
Explanation:
A dilation process from A by a factor 3 maps triangle ABC onto triangle ADE.
In the dilation process, the transformed angle value remains constant.
[tex]\angle A\text{ is reflecxive}[/tex]Also,
[tex]\angle ABC\text{ }\cong\text{ ADE}[/tex]Therefore above transformation makes triangle ABC similar to triangle ADE.
Answer:
Thus from the explanation given above, the above transformation makes triangle ABC similar to triangle ADE.
Jerome is making beef stew for his family. The recipe calls for 3.5 pounds (lbs.) of stew meat. He notices that he has 1.25 pounds (lbs.) in his refrigerator. How much stew meat should buy when he goes to the grocery in order to have enough? a) What operation (add, subtract, multiply or divide) would you use to solve this? b) How did you know?
EXPLANATION
Let's see the facts:
Call for---> 3.5 lbs of stew meat
Refrigerator -------> 1.25 lbs stew meat
He would buy:
Required - Available ----> 3.5 - 1.25 = 2.25 lbs of stew meat
The operation that we apply is subtraction because 3.5lbs (required) is greater than 1.25lbs (available).
Divide $70 into these ratios 1:2:4
Answer:
Step-by-step explanation:
1+2+4=7
70/7=10
10 x 1=10 10 x 2=20 10 x 4=40
10:20:40
What is the behavior of the graph y=-³-52-3x+9 at each of its zeros?
Answer:
A.
Explanation:
Using a graphing tool, we the that the graph of y = -x³ - 5x² - 3x + 9 is
Then, the zeros are the points where the graph crosses the x-axis. Therefore, we can say that one of the zeros resembles a linear function and one resembles a quadratic function because the graph looks like a line at (1, 0) and it looks like a parabola at (-3, 0).
So, the answer is
A.
Challenging. A cylinder has a diameter of 12 inches at its base. The height of the cylinder is 1.25 feet. What is the volume of the cylinder in cubic inches? Use 3.14 for 7 and round your answer to the nearest cubic inch.
Diameter of cylinder = 12 inches
radius of cylinder (r) = 1/2 x diameter = 6 inches
Height of cylinder (h) = 1.25 feet
We can convert feet to inches using the relation: 1 foot = 12 inches
So, 1.25 feet = 12 x 1.25 inches
=> 15 inches
The volume of the cylinder is given by:
[tex]V\text{ = }\pi r^2\text{ h}[/tex]Upon substituting the values of r and h
[tex]\begin{gathered} V\text{ = 3.14 x 6 x 6 x 15} \\ \\ V=\text{ }1695.6\text{ cubic inches} \\ V=1696inches^3 \end{gathered}[/tex]
Which of the following trigonometric values are negative? 1. sin(-292°) II. tan (2pi/3°) III. cos (153°) IV. cot (222°)a. 2, 3, and 4b. 2 and 3c. 3 onlyd. 1 and 3
Therefore, the answer is:
b. 2 and 3
Given: TU II XW
Prove: XW=8
Statements Reasons
TWIIXW Given
UTV=XYV alternate angles theorem
TVU= vertical angles theorem
TVU~WVX AA
? ?
XW\14=4/7substitution property of equality
7(XW)=56 cross product
XW=8 division property of equality
Which step is missing?
A.
Statement: WX/UT=UZ/VW Reason: Corresponding sides of similar triangles are proportional.
B.
Statement :XW/UT=VW/XV Reason: Corresponding sides of similar triangles are proportional.
C.
Statement: XW/UT=VW/XV Reason: Corresponding sides of similar triangles are proportional.
D.
Statement: XW/UT=UV/XV Reason: Corresponding sides of similar triangles are proportional.
The missing step is XW/UT=VW/XV because corresponding side of similar triangle are proportional.
What is similar triangle?
Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.
When two triangles are similar, then their corresponding angles would be congruent while their opposite sides will be proportional to each other
In the proof, it is given, Both triangle are similar, by AA similarity theorem, hence, XW/UT=VW/XV because corresponding side of similar triangle are proportional.
To know more about similar triangle, visit:
https://brainly.com/question/28091700
#SPJ1
