The dimensions of matrix B must be 3x1 to satisfy the given matrix multiplication where a 2x3 matrix A is multiplied by B to result in a 2x1 matrix C.
The student is asking about the dimensions of a matrix B that when multiplied by a given 2x3 matrix A, results in a 2x1 matrix C. In matrix multiplication, the product of an mxn matrix A and an nxp matrix B yields an mxp matrix C. The resulting matrix, C, has the same number of rows as the first matrix (A) and the same number of columns as the second matrix (B). Additionally, the number of columns in the first matrix must match the number of rows in the second matrix. Therefore, since matrix A has 3 columns, matrix B must have 3 rows for the multiplication to be defined. And since matrix C has 1 column, matrix B must have 1 column as well. So, the dimensions of matrix B are 3x1.
Guys need help ASAP With these two problems
Answer:
Question1: 58660
Question 3: 7244
Step-by-step explanation:
Question 1: My 5 is worth 50,000 means the number will start with 5 and will be between 50,000 and 60,000, thus will have 5 digits in total
My 8 is worth 8,000 means the next number is 8
One of my 6s is worth 60 means there is more than one 6. One 6 is worth 60 and the other is 10times as much so 600. The other digit is a 0. So those 3 together are 660.
The entire number is 58660
Question 3: The number has 4 digits:
My 7 is worth 7000 so the number will be between 7,000 and 8,000.
My 2 is worth 200 so.
One of my 4s is worth 40. So this means there is another 4.
The other number is 1/10 of 40, which is 4.
The total is 7244
stadium costs 1.6 billion dollars to build. It is 2 million square feet. What is the unit rate of cost/sq. Ft?
Answer:
$1.25 per sq ft
Step-by-step explanation:
2,000,000,000 ÷ 1,600,000,000 = 1.25
the lines below are parallel if the slope of the green line is -2 what is the slope of the red line
Answer:
-2
Step-by-step explanation:
Since they are parallel, they have the same slope. This will be true for any set of lines.
"The last time I bought this product, it cost $20.00 but it looks like it costs $29.60 today. Why such a large increase?"
Employee: "The cost to make the product increased, so our company decided to increase the price by _______ ."
Answer:
The company decided to increase the price by $9.60, or by 48%.
Step-by-step explanation:
To measure the price difference in dollars is simple, just subtract the old price from the new one:
[tex]29.60 - 20 = 9.60[/tex]
Divide the price change by the old price to find the price increase in percentage:
[tex]9.60 \div 20 = 0.48 \\ 0.48 \times 100\% = 48\%[/tex]
Answer:
Step-by-step explanation:
The last time the customer bought the product it was $20. The price has increased by $9.60.
Subtract the old price from the new one
$29.60 New Price- $20 Old Price=$9.60
Now Divide the Price Change amount of $9.60 by the Old Price $20
$9.60/$20=0.48
0.48X100%=48%
A car can travel 120 miles on 30 litres of petrol .work out how far the same car can travel on 35 litres of petrol
Answer:
140 miles.
Step-by-step explanation:
The distance the car travels on 1 litre= 120/30 = 4 miles.
So the distance for 35 litres = 4 * 35 = 140 miles.
The car's fuel efficiency is calculated as 4 miles per liter based on the given data. Using this, it is determined that the car can travel 140 miles on 35 liters of petrol.
Explanation:To calculate how far a car can travel on 35 liters of petrol, we need to determine its fuel efficiency, which is the distance it can cover per unit volume of fuel. Based on the given that the car can travel 120 miles on 30 liters of petrol, we can write an equation to represent the car's fuel efficiency:
Fuel efficiency = Distance/Volume of fuel = 120 miles / 30 liters = 4 miles per liter
Now that we have the car's fuel efficiency, we can find out how far it can travel on 35 liters of petrol:
Distance on 35 liters = Fuel efficiency × Volume of fuel = 4 miles/liter × 35 liters
Distance on 35 liters = 140 miles
Therefore, the car can travel 140 miles on 35 liters of petrol.
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what is the inverse of g(n) = -5n - 5
y=-5n-5
switch the signs to find inverse and solve for y
n=5y-5
n+5=5y
divide by 5
1/5n+1=y
that's your inverse my dude
Answer:
-n - 5
f^-1(x) = 5 or (-n - 5)/5
Step-by-step explanation:
g(n) = -5n - 5
RS | SR
Replace: y = -5n - 5
Switch n & y: n = -5n - 5
Solve for y:
n = -5y - 5. Isolate y
+5 +5
-1(n + 5) = (-5y) -1 Multiply each side by
-1 so that y isn't
negative.
-n - 5 = 5y Divide 5 on each side. 5
5 5 comes from 5y
-n - 5
y = 5
Replace y with f^-1(x):
-n - 5
f^-1(x) = 5
Select the graph of the solution. Click until the correct graph appears.
|x|<4
Answer:
Hey, put that into desmos and it will give you a graph answer.
Step-by-step explanation:
Simplified form the eaquation
Answer: C
Step-by-step explanation: You want to find the square root of each number given. The square root of 400 is 20, and the square root of 100 is 10
PLLZZZZ SOLVE!!!!
A toy company is redesigning its packaging for model cars. Resize it so that 1/2 inch on the old packaging represents 1/3 inch on the new package. Find the length of the new package. The old package measures 2 inches
Answer:
The length of the new package is 4/3 in
Step-by-step explanation:
we know that
1/2 inch on the old packaging represents 1/3 inch on the new package
so
using proportion
Find out the length of the new package if the old package measures 2 inches
Let
x ----> the length of the new package
[tex]\frac{(1/3)}{(1/2)}\frac{new}{old}=\frac{x}{2}\frac{new}{old} \\\\x=(2/3)/(1/2)\\\\x=\frac{4}{3}\ in[/tex]
therefore
The length of the new package is 4/3 in
Click the number sentence that shows the correct order relationship between these two numbers.
A. |-13| < 5
B. |-13| > 5
Answer:
B
Step-by-step explanation:
the absolute value of -13 is 13, and 13 is greater than 5
Answer:
B
Step-by-step explanation:
The absolute value of -13 is 13. Since we know that 13 is greater than 5, B is correct.
51ptss! What is the simplified form of this expression? (9x-7)-(4x-11)
A. 5x-18
B. 9x
C. 5x+4
D. 13x+4
Answer:
5x +4 it's A
Hope this helps
- Que
how many halves are in 5 and 1/2
Answer:
There are 11 halves in 5 1/2
Step-by-step explanation:
The simplest way to solve this is by drawing 5 squares and a half a square.
Next would to count all the halves and there would be 11.
This is the super simple and easiest way to solve this.
If you have any questions feel free to ask in the comments.
There are 11 halves in 5 and 1/2.
What is a fraction?A fraction is a number that is represented as a quotient where the numerator is divided by the denominator.
What is half in mathematics?
Two equal parts of one whole thing. In fraction form, half can be written as 1/2.
How to solve this problem?We have to find the number of halves in 5 and 1/2. We know that there are 2 halves of one whole thing. For 5 as a whole number, the number of halves would be,
5 × 2 = 10. Then, there are 10 halves in 5. Notice that there is one more 1/2 in 5 and 1/2. We can conclude that there are 10 + 1 = 11 halves in 5 and 1/2.
Therefore, there are 11 halves in 5 and 1/2.
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22. Write the equation in Slope-Intercept form of the line with an x-intercept of 2
and a y-intercept of -1.
Answer:
y = [tex]\frac{1}{2}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, - 1) ← coordinates of intercepts
m = [tex]\frac{-1-0}{0=2}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
The y- intercept is - 1 ⇒ c = - 1
y = [tex]\frac{1}{2}[/tex] x - 1
A regular prism has two congruent rectangles as its bases. How can one base be transformed to carry onto the other?
One base must be translated to carry onto the other base
One base must be rotated to carry onto the other base
It is impossible to carry one base onto the other base
One base must be reflected to carry onto the other base
Answer:
One base must be translated to carry onto the other base
Step-by-step explanation:
A regular prism has two congruent rectangles as its bases. Since the bases of the prism are congruent and oriented the same way, neither reflection nor rotation will work to carry one base onto the other. It doesn't matter how many sides a geometric shape has.
Therefore the correct option is:
One base must be translated to carry onto the other base.
How many times does 27 go into 70?
Answer: 27 can go in completely to 70 twice, or, if you want an exact decimal, 2.5925 (...it goes on and on) times
Step-by-step explanation: what you have to do is divide, 70 divided by 27. What “go into” means is to divide, always. What division does is show how much a number can fit inside another one. For example, 4 divided by two. If four is split into two equal parts, you get two. So four divided by two is two.
The exact same thing is happening in this situation; except with bigger numbers that don’t go into each other evenly.
So, the answer is approximately two or exactly 2.59..
The number 27 goes into 70 a total of 2 whole times when only considering whole numbers. The result of dividing 70 by 27 gives approximately 2.59 if we take decimals into account.
Explanation:The question is asking how many times does 27 go into 70. In other words, this is a division problem where 70 is the dividend (the number being divided) and 27 is the divisor (the number we are dividing by).
To find the answer, we simply divide 70 by 27. Using a calculator, we find that 70 divided by 27 equals approximately 2.59.
However, if we're only counting whole times, we only count the number before the decimal point. Therefore, 27 goes into 70 a total of 2 whole times.
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Kyle gave 2/7 of his money to his wife and spent 3/5 of the remainder. If he had $300 left, how much money did he have at first?
Answer:
Kyle gave 2/7th of his money to his wife and spent 3/5 of the remainder. If he had $300 left, the money had by Kyle at first is $1050
Solution:
Step 1:
Consider “x” as the money which Kyle had initially.
From question, Kyle gave 2/7th of his money to his wife. So the remaining money left with Kyle is given as,
[tex]= 1 - \frac{2}{7}[/tex]
[tex]= \frac{7 - 2}{7} = \frac{5}{7}[/tex] ----- eqn 1
Now the remaining money left with Kyle is 5/7th.Given that Kyle spent 3/5 of the remaining money.
Now the remaining money left with Kyle is given as
[tex] = 1 - \frac{3}{5} = \frac{5 - 3}{5} = \frac{2}{5}[/tex]
Now kyle is left with $300, which is 2/5th of the initial money x .
We get equation as
[tex]\frac{2}{5} x=300[/tex]
2x = 1500
x = 750
Now Kyle is left with 750$ which is 5/7th of the initial amount x.( by using eqn 1)
We get equation as
[tex]\frac{5}{7} x = 750[/tex]
5x = 5250
x = 1050
So the amount had by Kyle at first is $1050
Final answer:
Working backward from the $300 Kyle had after spending and giving some away, we find that the original amount of money was $1050, which is determined by reversing the operations he performed on his money.
Explanation:
To solve how much money Kyle had at first, we need to work backwards from the amount he had left ($300) after he spent some and gave some to his wife. First, we determine how much was left before he spent the 3/5 of the remainder.
Let's denote Kyle's initial amount of money as x. The equation representing what Kyle did with his money is
x - (2/7)x = Remaining Amount After Giving to Wife
Kyle then spends 3/5 of this remaining amount, and is left with $300, so we can represent this as:
(1 - 3/5)(Remaining Amount After Giving to Wife) = $300
Substituting the first equation into the second we get:
(1 - 3/5)(x - (2/7)x) = $300
Simplifying, we find that (2/5)(5/7)x = $300.
This simplifies down to:
(2/5)(5/7)x = (10/35)x = $300
Finally, solving for x, we multiply both sides by the reciprocal of (10/35),
x = $300 × (35/10)
x = $300 × 3.5
x = $1050
So, Kyle originally had $1050.
Andrew bought a computer for $650 a printer for $135.89, and two printer cartridges for
$28.79 each.
How much did Andrew spend in all? Show your work and remember to include units.
Answer:
$813.68
Step-by-step explanation:
$650.00
$135.89
+$028.79
$813.68
when the outliers are removed how does the mean change?
1 dot on 50
2 dots on 72
1 dot on 74
1 dot on 76
1 dot on 78
3 dots in between 78 and 80
1 dot on 80
1 dot between 80 and 82
3 dots on 82
the mean decreases by 1.9
the mean decreases by 2.4
the mean decreases by 1.9
there are no outliers
Answer: The mean increases by 2.1
Step-by-step explanation:
According to the given description (dots are denoting the frequency for each value), the given data is :-
50 , 72, 72 , 74, 76 , 78 , 79 , 79 , 79 80, 81, 82, 82, 82
[Note - We take 79 as the value between 78 and 80, 81 as between 80 and 82 ]
Mean = [tex]\overline{x}_1=\dfrac{\text{Sum of observations}}{\text{No. of observations}}[/tex] (1)
[tex]=\dfrac{1066}{14}=76.1428571429\approx76.1[/tex]
First Quartile: [tex]Q_1=[/tex] Median of the lower half ( 50 , 72, 72 , 74, 76 , 78 , 79 )
= 74
Third Quartile: [tex]Q_3=[/tex] Median of the upper half ( 79 , 79 80, 81, 82, 82, 82 )
= 81
Interquartile range (IQR)=[tex]Q_3-Q_1=81-74=7[/tex]
According to the IQR rule,
Upper limit = [tex]1.5\times IQR+Q_3=1.5\times7+81=91.5[/tex]
Lower limit = [tex]Q_1-1.5\times IQR=74-1.5\times7=63.5[/tex]
Since 50 < 63.2 , so 50 is outlier .
When 50 is removed from the data , the new data will be 72, 72 , 74, 76 , 78 , 79 , 79 , 79 80, 81, 82, 82, 82
Mean = [tex]\overline{x}_2=\dfrac{\text{Sum of observations}}{\text{No. of observations}}[/tex]
[tex]=\dfrac{1016}{13}=78.1538461538\approx78.2[/tex] (2)
Change in mean from (1) and (2)
[tex]\overline{x}_2-\overline{x}_1\\\\=78.2-76.1=2.1[/tex]
Hence, the mean increases by 2.1.
Answer:
2.4
Step-by-step
Find the gcf of 9s and 63s2 plz help
Answer:
9sStep-by-step explanation:
63s² = 9 · 7 · s · s = (9s)(7s)
Therefore GCF(9s, 63s²) = 9s
Angle 1 and angle 2 form a linear pair.if m angle =5x+9 and m angle 2=3x+11,find the measures of both angels.
Answer: ∠1 = 109° ∠2 = 71°
Step-by-step explanation:
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
CHECK:
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180° [tex]\checkmark[/tex]
(please help i have a test as you speak/read) The cafeteria has 114 ounces of orange juice to serve for breakfast. Eavh serving is 4 3/4 ounces. How many servings of juice does the cafeteria have?
Answer: 24
Step-by-step explanation:
114 divided by 4 3/4 = 24
Answer:
24 servings
Step-by-step explanation:
the answer is simply 114 ÷ 4 3/4
Is 16:14 in 64:60 eqivulant
Answer:
No they are not.
Step-by-step explanation:
16 and 64 [Scale factors of ¼ and 4]
14 and 60 [Scale factors of 7⁄30 and 4 2⁄7]
When we are talking about ratios, quantities must go into each other EVENLY.
I am joyous to assist you anytime.
The maximum load that a crane can lift is about 39,700 pounds. What is another way to write 39,700?
(300 + 90 + 7) * 10
(300 +90 + 7) * 1.000
(3,000 + 900 + 70) * 10
(3.000 + 900 + 70) * 100
Answer:
number 3
Step-by-step explanation:
(3,000+900+70) = 3,970
3,970*10 = 39,700
One car travels 25 km/h faster than another. In the same time that one goes 120 km, the other goes
220 km. Find their speeds.
Answer:
Speed of first car = 30 km/h and speed of second car = 55 km/h
Step-by-step explanation:
Speed = distance/time
Given: distance travelled by one car = 120 km
Distance travelled by second car = 220 km
Now let speed of first car be x km/h.
∴ Speed of second car = (x + 25) km/h (∵ One car travels 25 km\h faster than another)
Now, if the time is constant, then ratio of distance to speed of first car will be equal to the ratio of distance to speed of another car. e.g.,
[tex]\frac{distance\ travelled\ by\ first\ car}{speed\ of\ first\ car} = \frac{distance\ travelled\ by\ second\ car}{speed\ of\ second\ car}[/tex]
[tex]\frac{120}{x} = \frac{220}{x+25}[/tex]
[tex]220x = 120 (x +25)[/tex]
[tex]220x = 120x + 3000[/tex]
[tex]100x = 3000[/tex]
[tex]x = 30[/tex]
∴ Speed of first car = 30 km/h
Speed of second car = (30 + 25) = 55 km/h.
-6(1 - 5m) = 114
what is the answer?
Answer:
m=4
Step-by-step explanation:
7-10 =
How do I write it as an expression using a positive exponent
Answer:
-3
Step-by-step explanation:
7-10=-3
A city has a rectangular park that is 143 feet by 32 feet. There is a grassy field with a width of 30 feet. Next to the field there's a flower bed with the width of 2 feet. What is the area of the park in square feet?
Answer: 4,576 ft
Step-by-step explanation: multiply 143 and 32 together.
The size of the field and the flower bed is just extra information they are using to trick you.
Answer:
[tex]4576 feet^2[/tex]
Step-by-step explanation:
Length of the park = 143 feet
Width of park = 32 feet
Area of rectangular park = [tex]Length \times Breadth[/tex]
= [tex]143 \times 32[/tex]
= [tex]4576 feet^2[/tex]
Hence the area of the park in square feet is [tex]4576 feet^2[/tex]
While packing for their cross country move, the Chen family uses a crate that has the shape of a cube.
If the crate has the volume V=64 cubic feet, what is the length of one side?
10 points
Answer:
4ft
Step-by-step explanation:
4 X 4 X 4 = 64 sjixozoxoz
The length of one side of the cube is 4 feet.
What is a cube?In Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
The given volume of the cube is,
V = 64 cubic feet
Let a be the length of each side of the cube.
Therefore volume V of the cube is given as,
V = (side)³
or, V = a³
Since, V = 64 cubic feet
Therefore,
a³ = 64 cubic feet
Taking cube root both the side we get,
∛a³ = ∛64 cubic feet
or, a = ∛64 cubic feet
Since, ∛64 = 4
Therefore,
a = 4 feet
which is the length of one side.
Thus, the length of one side of the cube is 4 feet.
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12 less than m is no less than 132
The number will be "m = -120".
Let,
The number be "m".According to the question,
The expression will be:
→ [tex]m-12=-132[/tex]
By adding "12" both sides of the expression, we get
→ [tex]m-12+12=-132+12[/tex]
→ [tex]m = -120[/tex]
Thus the response above is right.
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To solve the given statement '12 less than m is no less than 132', we set up the inequality m - 12 ≥ 132. Adding 12 to both sides, we find that m ≥ 144.
Explanation:Given the statement '12 less than m is no less than 132', we can set up an inequality to represent this relationship: m - 12 ≥ 132. To solve for m, we can add 12 to both sides of the inequality: m ≥ 132 + 12. Simplifying, we find that m ≥ 144. So, any value of m that is greater than or equal to 144 will satisfy the given statement.
2(4-8x)+6=-1 interpreting experiessions
Answer:
X = [tex]\frac{13}{16}[/tex]
Step-by-step explanation:
2 (4-8x) + 6 = 1
Multiply parentheses by 2
8 - 16x + 6 = 1
add (8 + 6)
14 - 16x = 1
Move constant to right and change its sign
-16x = 1 -14
Calcualte te difference
-16x = -13
divide bot sides by -16
x = [tex]\frac{13}{16}[/tex]
The given equation 2(4-8x)+6=-1, distribute the 2, combine like terms, and then isolate x to find that x = 15/16.
The student has provided an equation 2(4-8x)+6=-1 and requires help solving for x. To solve this equation, we first distribute the 2 across the terms in the parenthesis:
8 - 16x + 6 = -1.
Combine like terms:
14 - 16x = -1.
Subtract 14 from both sides:
-16x = -15.
Divide both sides by -16:
x = 15/16.
Therefore, the solution is 15/16.
Complete Question: Solve the equation 2(4-8x)+6=-1 using Method 2 (interpreting expressions as a single quantity).