Answer:
192.5 miles
Step-by-step explanation:
55 miles per hour x 3.5 hours = 192.5 miles
Answer:192.50
Step-by-step explanation:
Solve the matrix equation for X:
Multiply on the right by the transpose of the matrix on the left side:
[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}[/tex]
[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top[/tex]
The transpose is just the same matrix with the entries reflected along the main diagonal:
[tex]\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top=\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}[/tex]
So
[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}[/tex]
[tex]X\begin{bmatrix}6&5\\5&10\end{bmatrix}=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}[/tex]
Now multiply on the right by the inverse of the matrix on the left side:
[tex]X\begin{bmatrix}6&5\\5&10\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}[/tex]
[tex]X=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}[/tex]
The inverse is
[tex]\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}=\frac1{60-25}\begin{bmatrix}10&-5\\-5&6\end{bmatrix}=\begin{bmatrix}2/7&-1/7\\-1/7&6/35\end{bmatrix}[/tex]
So
[tex]X=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}2/7&-1/7\\-1/7&6/35\end{bmatrix}=\boxed{\begin{bmatrix}1&-2\\2&1\end{bmatrix}}[/tex]
A supermarket has found that the relationship between a day's high temperature and the amount of money taken in on that day from frozen yogurt sales can be modeled by the equation y = 4x + 164, where x is the high temperature in degrees Fahrenheit and y is the amount taken in from frozen yogurt sales in dollars. Which of these statements is true according to the model?
Answer:
On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.
Step-by-step explanation:
WHICH TERM BEST DESCRIBES THIS POLYGON
Answer:
17-gon
Step-by-step explanation:
There are 17 sides of the polygon.
how minutes is in a clock
Answer:
720 Minutes
An analogue clock is split up evenly in two ways. Minutes are sixty equal parts and hours are 12 equal parts. That means that for every hour maker from 12 there are also five minute markers.
Hoped this helped!
Brainly, please?
Evaluate the expression
Answer:
32
Step-by-step explanation:
4 to the third power is 64
(7-3) = 4
*2
64/4*2 = 32
Hope this helps
A football player completes a pass 67.9% of the time.Find the probability that the first pass he completes is the second pass.
Answer:
0.2587 = 25.87% probability that the first pass he completes is the second pass.
Step-by-step explanation:
Probability that the first pass he completes is the second pass.
Misses the first, with a 100 - 67.9 = 38.1% = 0.381 probability.
Completes the second, with 0.679 probability. So
0.381*0.679 = 0.2587
0.2587 = 25.87% probability that the first pass he completes is the second pass.
Kevin earns $12.00 for every 5 story problems he writes. How much would Kevin get for writing 12 problems?
Answer: $28.80
Step-by-step explanation:
We can start by finding the unit rate. How much money does Kevin earn from writing 1 story problem?
We can find how much Kevin earns from writing 1 story by dividing 12 by 5.
12 ÷ 5 = 2.4.
Therefore, Kevin earns $2.40 for every story he writes.
Now we have to find how much Kevin earns from writing 12 story problems. If Kevin earns $2.40 for every story he writes, then we should mutliply that by 12 to find how much money Kevin earns for writing 12 problems.
2.40 x 12 = 28.8.
In conclusion, Kevin earns $28.80 dollars for writing 12 problems.
15 cm
11 cm
Find perimeter
Answer: 52 cm
Step-by-step explanation: 15+15=30 11+11=22 30+22=52
Answer:
52 cm (?)
Step-by-step explanation:
I'm assuming this is a rectangle.
you take each of the sides(with rectangles, two of each sides will have the same length) and add them together.
15 + 15 + 11 + 11 = 52
Evaluate f(x)=6x2 – 12 when x =-3.
Which inequality is represented by this graph? 0 - 345> x O 0 -34.5 0 -355 cx
Answer:
Step-by-step explanation:
If x is the white dot on the graph:
From what it looks like, x is right between -35 and -34 x (which is -35.5).
If that is the case then none of the answers are correct since -35.5 is equal or less than x. (the sign looks like this: "[tex]\leq[/tex]" )
But if you have to choose one of the answers then number 4 (-35.5 < x) would be closest.
help plz
can someone simplify 3 to the power of 2 times 3 to the power of 3
Answer:
(9)(27) also 243
Step-by-step explanation:
So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243
Mr. Gardener invested $500.000. His annual interest was $40.000. What was the annual interest rate?
Answer:
8% per year
Step-by-step explanation:
............
What is the answer to 6/8 ×2 =
Step-by-step explanation:
= 6 / 8 × 2
= 0.75 × 2
= 1.5
plz follow me
Which equation represents the relationship between the x-values and the y-values in the table?
Answer:
y = 10x + 5
Step-by-step explanation:
Remember when x = 0 that is when you get your y-intercept. So when you look at the chart you can see that your answer has to have a +5 so now you are down to only to answers.
Now slope is the change of Y over the change of X , so 5 to 55 is 50
and 0 to 5 is 5
[tex]\frac{y}{x}[/tex]=[tex]\frac{50}{5}[/tex] and that equals 10
put both parts together and
y = 10x + 5
A penguin starts at 15 meters above sea level and ends at 7 meters below sea level. What is the change in elevation?
Answer:
22 meters
Step-by-step explanation:
If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.
Then they traveled another 7 meters when going 7 meters below sea level.
15 + 7 = 22
Hope this helps :)
What does x equal
F.x=7
G.x=-7
H.x=13
J.x=-13
Ms. Ortiz borrows $2.50 every day for a school week (5 days) to buy a bacon egg and cheese. How much does
she owe by the end of the week? (Use negative numbers to show how much she owes
It’s multiplying signed numbers
Answer: She will owe $12.50 at the end of the week, and her account balance will be -12.50 dollars.
Step-by-step explanation:
A school week is 5 days. If Ms. Ortiz borrows $2.50 every day, then we will have to multiply 2.50 by 5 to find how much Ms. Ortiz owes at the end of the week.
2.50 x 5 = 12.5, or $12.50.
Therefore, Ms. Ortiz owes $12.50 at the end of the week, and her account balance will be -12.50.
I NEED TO KNOW KNOW PLEASEEE
Answer:
2624
Step-by-step explanation:
30 * 64 = 1920
64 * 22 (1/2) = 704
1920 + 704 = 2624
i hope this helps, good luck :)
Find the mode, median and mean of the following data and match them with their appropriate result provided below. 3, 12, 11, 7, 5, 5, 6, 4, 10
How to get the mode:
- To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
{3, 4, 5, 5, 6, 7, 10, 11, 12} => 5
How to get mean:
- The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.
(3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 10) / 9
=> 63 / 9
=> 7
How to get median:
- To find the median, first order the numbers from smallest to largest. Then find the middle number
3, 4, 5, 5, 6, 7, 10, 11, 12
So the middle number is 6
------------------------------------------------
Mean: 7
Median: 6
Mode: 5
All even numbers
greater than two, can be written
as the sum of two prime numbers
Peter
Give three examples that show that Peter is correct.
Answer:
Step-by-step explanation:
3 + 5 = 8
7 + 11 = 18
11 + 19 = 30
(-2+6y+3x)(-3) distributive property to remove the parentheses
Answer:
6-18y-9x
Step-by-step explanation:
Guys I need help what is 6 divided by 398
Camila drew a triangle with a side that is 24
inches long and a side that is 18 inches long.
Which of the following could be the length of the
third side of the triangle that Camila drew? Select
THREE that apply.
42 inches
40 inches
18 inches
7 inches
6 inches
5 inches
Answer:
Step-by-step explanation:
It’s going to be 42 inches and 40 inches because we are simplifying
The solution is, 40 inches ,or, 7 inches ,or, 18 inches, could be the length of the third side of the triangle that Camila drew.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, we have,
given that,
Camila drew a triangle with a side that is 24 inches long
and a side that is 18 inches long.
we know, that,
sum of length of two sides > third side,
so, the possible lengths are,
40 inches , 7 inches , 18 inches
Hence, The solution is, 40 inches ,or, 7 inches ,or, 18 inches, could be the length of the third side of the triangle that Camila drew.
To learn more on triangle click:
brainly.com/question/29126067
#SPJ6
Find the product. 2 4/10 =
Answer: 2 2/5 is answer decimal answer is 2.4
Step-by-step explanation:
hope this helpss!!
Find the slope of the line that passes through the given point (-2, -4) and (-11, -7)
Answer:
Step-by-step explanation:
[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-[-4]}{-11-[-2]}\\\\=\frac{-7+4}{-11+2}\\\\=\frac{-3}{-9}\\\\=\frac{1}{3}[/tex]
Given the equation 14 - 4x = 26
Answer:
-3
Step-by-step explanation:
can you mark me brainliest
Answer:
x=-3
Step-by-step explanation:
14-4x=26
-14 -14
-4x=12
/-4 /-4
x=-3
Please answer question for my friend, Will mark brainliest.
A bottle of orange juice says it contains 200 milligrams of vitamin C, which is 200% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
Answer:
im guessing 100 milligrams of vitamin c
Step-by-step explanation:
Answer:
100 mg
Step-by-step explanation:
you could think of it like this: if you divide 200mg and 200% both by two you get 100mg for 100%
est Coordinate Proof Problem
10 points
7
1
K
Use the Kite above. Prove by showing your work the following things:
ALL
1. Diagonals are perpendicular;
2
Pairs of sides are congruent
3. What is the equation of Line ?
pedir
find the slope of the line
Answer:
The slope of the line is: 1
Step-by-step explanation:
Use the equation
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Use the two sets of points given to you to slve the equation.
Assign the points their variables:
x1 y1 x2 y2
(4, 4) (8, 8)
Insert the numbers into the equation:
[tex] \frac{8 - 4}{8 - 4} [/tex]
Simplify:
[tex] \frac{4}{4} = 1[/tex]
is 15.09 less than 12.63
Answer: No
15.09 is greater than 12.63
