Answer:
h=4 and k=-4....
Step-by-step explanation:
hopevit helps you
Step-by-step explanation:
[tex]A^2= \begin{bmatrix} 4 & 0 \\ 4 & 4 \end{bmatrix}[/tex]
Equate this to $hA + kI$
Thus,
[tex] A^2= h \begin{bmatrix} 2 & 0 \\ 1 & 2 \end{bmatrix} + k \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}[/tex]
Hence we have the following equations (by equating corresponding terms on both sides):
$2h+k=4$
$h=4$
Solve these to get $h=4$ and $k=-4$
what is x? answer fast please!
Answer:
[tex]\Huge \boxed{{x=15\°}}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
We can create an equation.
x + 165 = 180
Solve for x.
Subtract 165 from both sides.
x + 165 - 165 = 180 - 165
Simplify the equation.
x = 15
Answer:
15°
Step-by-step explanation:
Angle of a line with a center is 180°
To find x:
x = 180 - 165°
x = 15°
15° is the answer.
Cheeseburgers are two for
$5.00. How much would 5
cheeseburgers cost?
Answer:
5 cheeseburgers would be 12.50
Step-by-step explanation:
5 / 2 is 2.50 , 2.50 for one cheeseburger times 5 is 12.50
Answer: If two cheeseburgers are $5 the then one cheeseburger is 2.50
So 2.50 x 5 is 12.50
So it's 12.50 for 5 cheeseburgers
The area of this rectangle is 5x squaredWhat does the coefficient 5 mean in terms
of the problem?
width x
length 5x
A. The total area of the square is 5.
B. The width is 5 times the length.
ОО
C. The length is 5.
D. The length is 5 times the width.
Answer:
D. The length is 5 times the width
because width is x
and the length is x x x x x
If a fish experiences an acceleration of 9.8 m/s^2 over a period of 1.4s (It must be falling), then what is its change in velocity?
Answer:
Change In velocity= 13.72 ms^-1
Step-by-step explanation:
fish experiences an acceleration of
9.8 m/s^2 over a period of 1.4s
Change in velocity/time= acceleration
Time in seconds= 1.4 s
Acceleration in meter per second square= 9.8 m/s^2
Change in velocity/time= acceleration
Change In velocity= acceleration*time
Change In velocity= 9.8*1.4(m/s^2 *s)
Change In velocity= 13.72 ms^-1
You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply. A) 18, 17, 15, 12, 16, 18 B) 92, 93, 95, 91, 88, 89 C) 35, 37, 39, 41, 91, 31 D) 45, 87, 83, 81, 79 E) 48, 47, 44, 43, 44, 47
What is the value of this expression?
(-2)5
Answer:
the answer is -10
Step-by-step explanation:
-2 × 5 = -10
Marc wants to guess how many marbles are in a box that has a height of 18 inches. He calculates that there are 32 marbles in a height of 5 inches. Approximately how many marbles are in the box?
So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.
[tex]\frac{32}{5} = \frac{x}{18}[/tex]
To get from 5 to 18, you multiply by 3.6.
Do the same thing to the numerator; 32 × 3.6 = 115.2.
Since 0.2 marbles is no marbles, you round down.
There are 115 marbles in the box.
♡ Hope this helps! ♡
❀ 0ranges ❀
Jared was trying to win a trivia game. His score towards the end was -14. He needs to get a score of 15 to win the game. How many points does he need to earn in order to win?
Answer:
29 more points
Step-by-step explanation:
We basically need to find, what's the distance from -14 to 15.
We know that from -14 to 0 is 14 points, and from 0 to 15 is 15 points.
So in total we travelled [tex]15+14=29[/tex] points.
Hope this helped!
Hello please help me
Idk if the answer is 16 or 19
4 - 16 ÷ 4 + 4²
Answer:
4 - 16 ÷ 4 + 4² =
Step-by-step explanation:
= 4 - 16 ÷ 4 + 4²
= 4 - 16 ÷ 4 + 16
= 4 - ( 16 ÷ 4 ) + 16
= 4 - 4 + 16
= 16
Choose the product of
(3+v7)(3-7)
Answer:
In descending order, you answer would be (70v - 18). Hope this helps!
Step-by-step explanation:
Answer:
the answer is C on edge
Step-by-step explanation:
Madison recorded weather conditions for some major cities on the same day. Here is some of the data she
collected
The individuals in this data set are:Choose 1 Answer:
A) Weather conditions
B) Average wind speeds
C) Cities
This data set contains:Choose 1 Answer:
A) 4 variables, 1 of which is categorical
B) 4 variables, 2 of which are categorical
C) 3 variables, 1 of which is categorical
D) 3 variables, 2 of which are categorical
The individuals in this data set are C) Cities
Same idea as last time, but now we're listing cities and their associated weather data.
=============================================
The data set contains B) 4 variables, 2 of which are categorical
The four variables are
high temp (degrees celsius)kind of precipitation average wind speed (in km/hr)severe weather alertThe two categorical variables are "kind of precipitation" and "severe weather alert". This is because the choices for each of these variables is a list of labels rather than numeric values. We cannot do things like find the average of the kind of precipitation as it doesn't make sense to do so. Each of these categorical variables are also nominal. This means they simply have a label or name. We cannot do things like order the data.
I NEED HELP PLEASE !!! :(
Answer:
11^5/3
Step-by-step explanation:
when you move the 5 over to the right, it always goes above the other exponent. if that makes sense? I use this shortcut.
another way of showing is:
[tex]x\frac{a}{b} = \sqrt[b]{x^a}[/tex]
Answer:
[tex]11^{\frac{3}{5} }[/tex]
Step-by-step explanation:
Proof:
The power of a fraction is:
[tex]x^{\frac{a}{b} } =\sqrt[b]{x^{a} }[/tex]
Can someone Please help me and explain how you got your answer I’m stuck please help please please
Answer:
y intercept
y = -5
THE SEVEN APPLEWOMEN
Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140
apples, went to market and sold all their apples at the same price, and each
received the same sum of money. What was the price?
Answer:
The amount each took home was 20 unit currency.
Step-by-step explanation:
The given parameters are
The number of apples with each of the seven apple women = 20, 40, 80, 100, 120, and 140
The number of apples each woman has can be written in the following formula obtained online which is a series formula
a·n + (n - 1), (a + b)·n + (n - 2), (a + 2·b)·n + (n - 3), (a + 3·b)·n + (n - 4), (a + 4·b)·n + (n - 5), (a + 5·b)·n + (n - 6), (a + 6·b)·n + (n - 7)
Which gives;
a·n + (n - 1) = 20
(a + b)·n + (n - 2)=40
(a + 2·b)·n + (n - 3) = 60
(a + 3·b)·n + (n - 4) = 80
(a + 4·b)·n + (n - 5) = 100
(a + 5·b)·n + (n - 6) = 120
(a + 6·b)·n + (n - 7) = 140
Solving the above system, we get
n = 7, a = 2, b = 3
Which gives
2×7 + 6 = 20
5×7 + 5=40
8×7 + 4 = 60
11×7 + 3 = 80
14×7 + 2 = 100
17×7 + 1 = 120
20×7 + 0 = 140
Whereby all the women sold the apples for the same sum price, based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount taking home by each of them given as follows;
2×1 + 6×3 = 20
5×1 + 5×3=20
8×1 + 4×3 = 20
11×1 + 3×3 = 20
14×1 + 2×3 = 20
17×1 + 1×3 = 20
20×1 = 20
Therefore, the amount each took home was 20 unit currency.
Why the correct answer of this question is 7 while I always find 3 as the minimum value instead of 7? The picture includes two different solutions.
Answer:
see below
Step-by-step explanation:
This solution is based off of the Triangle Inequality, which states that the sum of the two shortest sides of a triangle must be greater than the longest side of the triangle. The solution looks at the diagram on the bottom where y = DB. Looking at ΔABD, to find the range of values for y, we must consider two possible cases: y is either the shortest side or the longest side. If y is the shortest side then y + 5 > 6 which means y > 1 and if y is the longest side then 6 + 5 > y which means 11 > y. Therefore, the range of values for y is 1 < y < 11.
Next, they made y as small as possible, which would be 1.1 in this case. Looking at ΔDCB, again, to find the range of values for x, we must consider two possible cases: x is either one of the shortest sides or x is the longest side. If x is one of the shorter sides then 1.1 + x > 8 so x > 6.9 and if x is the longest side, 1.1 + 8 > x so 9.1 > x. Therefore, the range of values for x is 6.9 < x < 9.1. The smallest integer value that satisfies this inequality is x = 7.
Question 1 (1 point)
Simplify the expression 167x - x by combining like terms.
a) 166x
b) 167x
c) 167
D) 166x*2
Answer:
a) 166x.
Step-by-step explanation:
167x - x
= 166x.
Answer:
The correct answer is A) 166x
Hoped I helped
What is this please answer quick it’s easy
I think you multiply 3/5 times 14. You would get 8.4 pounds which would be 8 2/5.
The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle
Can u guys PLEASE answer this question ASAP. THIS IS EXTREMELY URGENT. Twenty circular pieces of pastry, each of diameter 4 cm, are cut from a rectangular layer of pastry 20 cm long and 16 cm wide. What is the area, correct to two decimal places, of pastry remaining after the 20 pieces are removed?
Answer:
68,67 cm^2
Step-by-step explanation:
Let's calculate first the total area of pastry that we have.
Let A be that area.
The pastry has rectangular form so its area is:
● A = width × length
The width here is 16 and the length is 20
● A = 20 × 16
● A = 320 cm^2
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's calculate the are of the 20 pastry circles
Let A' be the area of one circle.
● A' = Pi × r^2
r is the radius wich is the diameter over 2.
● d/2 = 4/2 = 2 cm
● A' = Pi × 2^2
● A' = 4Pi cm^2
The area of 20 pastry circles is 20A'
● 20A'= 20 × 4 × Pi
● 20A'= 80Pi
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let A" be the area of the remaining pastry
● A" = A-20A'
● A" = 320 - 80Pi
● A" = 68.67 cm^2
Find the midpoint of the segment with the following endpoints. (6, 4) and (9,9)
Answer:
15/2, 13/2.
Step-by-step explanation:
Here's a graph as well.
Answer in fraction form = (15/2, 13/2)
Answer in decimal form = (7.5, 6.5)
========================================================
Explanation:
To get the midpoint, we average the two endpoint values. We handle the x and y coordinates separately.
The x coordinates of each point are 6 and 9. They average to (6+9)/2 = 15/2 = 7.5; so you add up the x coordinates and divide by 2.
The y coordinates are handled the same way. Add them to get 4+9 = 13 and then divide by 2 to get 13/2 = 6.5
The midpoint is (15/2, 13/2) = (7.5, 6.5)
a tricycle travels 180km in 4 hours. What it's speed in km/hr
Answer:
45 km per hour
Step-by-step explanation:
We want to find the tricycle's speed in kilometers per hour.
Therefore, we must divide the kilometers traveled by the number of hours.
speed= kilometers / hours
The tricycle travels 180 kilometers in 4 hours.
speed= 180 km / 4 hrs
Divide 180 km by 4 hrs.
⇒ 180/4=45
speed= 45 km / hour
The tricycle's speed is 45 kilometers per hour.
0.580 repeating as a fraction
Answer:
Write out your decimal as the numerator of a fraction:
0.50 /1
Multiply to remove the 2 decimal places:
0.50 /1 × 100 /100= 50 /100
Find the Greatest Common Factor of 50 and 100:
GCF is 50
Divide both numerator and denominator by 50:
50 ÷ 50
100 ÷ 50 = 1 /2
therefore your answer is 1/2
Hope this helps! (づ ̄3 ̄)づ╭❤~
Answer:
115/198
Step-by-step explanation:
The correct answer is 115/198.
Use this table to construct the function that it represents.
A.f(x) = 4x + 7
B.f(x) = 7x - 4
C.f(x) = -4x-1
D. f(x) = x + 7
Answer:
Option A. f(x) = 4x + 7
Step-by-step explanation:
To obtain the answer to the question, we simply try each of the equation using the first two value of x in the table to see which of them will satisfy the table. This is illustrated below:
For option A
1. f(x) = 4x + 7
x = - 1
f(x) = 4(-1) + 7
f(x) = - 4 + 7
f(x) = 3
2. f(x) = 4x + 7
x = 0
f(x) = 4(0) + 7
f(x) = 0 + 7
f(x) = 0
For option B
1. f(x) = 7x - 4
x = - 1
f(x) = 7(-1) - 4
f(x) = - 7 - 4
f(x) = - 11
2. f(x) = 7x - 4
x = 0
f(x) = 7(0) - 4
f(x) = 0 - 4
f(x) = - 4
For Option C
1. f(x) = -4x - 1
x = - 1
f(x) = -4(-1) - 1
f(x) = 4 - 1
f(x) = 3
2. f(x) = -4x - 1
x = 0
f(x) = -4(0) - 1
f(x) = 0 - 1
f(x) = - 1
For Option D
1. f(x) = x + 7
x = - 1
f(x) = - 1 + 7
f(x) = 6
2. f(x) = x + 7
x = 0
f(x) = 0 + 7
f(x) = 7
From the illustrations made above, only option A satisfy the table.
Find the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20
Answer:
Step-by-step explanation:
I have listed every number and unbolded the numbers that are divisible by 2 and 3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
so it is 13/20
The probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20 is 13/20.
What is probability?Probability is the likeliness of happening an event among all the events possible to happen. The formula of calculating probability is number/ events/total numbers/ total events. The value of probability lies between 0 and 1.
How to calculate probability?We have to find out the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20.
Multiples of 2 from 1 to 20=2,4,6,8,10,12,14,16,18,20= 10 numbers
Multiples of 3 from 1 to 20=3,6,9,12,15,18=6 numbers
Common multiples 6,12,18=3 numbers
Total numbers from 1 to 20=20
Probability=(10+6-3)/20
[ we have deducted 3 because we have to just take a number once while calculating probability]
=13/20
Hence the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20 is 13/20.
Learn more about probability at https://brainly.com/question/24756209
#SPJ2
uhh pls help lol i’m confused
Answer:
50°
Step-by-step explanation:
angle ABE and angle CBD are vertical angles and has same measure so <ABE = 50°
Find P (Junior|Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman
4 48
Sophomore S 17 12
Junior 2 3 5
Senior 4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Enter
1
====================================================
Explanation:
There are two methods to approach this type of problem.
-------------------------------------
Method 1
A = junior
B = girl
P(A) = probability of selecting a junior
P(B) = probability of selecting a girl
P(B) = (number of girls)/(number total)
P(B) = (4+7+3+4)/(4+4+5+7+2+3+1+4)
P(B) = 18/30
P(B) = 9/15
P(A and B) = probability of selecting a girl who is a junior
P(A and B) = (number of girl juniors)/(number total)
P(A and B) = 3/30
P(A and B) = 1/10
P(A given B) = P(A and B)/P(B)
P(A given B) = (1/10) divided by (9/15)
P(A given B) = (1/10) times (15/9)
P(A given B) = (1*15)/(10*9)
P(A given B) = 15/90
P(A given B) = 1/6
-------------------------------------
Method 2
This method doesn't involve dividing two fractions which could get messy, which is why I find this the easier route. Since we are given the person is a girl, this means we only need to focus on the "girls" column. There are 3 who are juniors out of 4+7+3+4 = 18 total. The probability of selecting a girl junior is 3/18 = 1/6
Which sign makes this number sentence true?
|-56| __ |56|
A. >
B. <
C. =
D. x
Answer:
C) =
Step-by-step explanation:
I -56I = I56I
Absolute value of a number I X I is always non-negative value
Value of I -2 I = 2 & I 2I = 2
Answer:
C
Step-by-step explanation:
Since they are absolute value, they are both the same distance from zero
5. Which equation in point-slope form contains the point (4, –1) and has slope 3?
Answer:
y+1 = 3(x-4)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1 , y1) is a point on the line
y - -1 = 3(x-4)
y+1 = 3(x-4)
1. Martha can paint a room in 2 hours. Jamie can paint the same room in 6
hours. How long, to the nearest tenth of an hour, will it take them to paint
the room together?
2. Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together?
3. Nicole can paint a room in six hours, Alexandra can paint a room in 5 hours,
and Liana can paint a room in 4 If all three work together, how long
will it take them to paint the room?
4. Jake can paint a room in 7 hours, and Karen can paint the same room in 5
hours. How long will it take to paint the room if they work together?
Answer:
3. 60/37 hours
4. 35/12 hours
Step-by-step explanation:
3.
Nicole: 1 room in 6 hours; in 1 hour: 1/6 room
Alexandra: 1 room in 5 hours; in 1 hour: 1/5 room
Liana: 1 room in 4 hours; in 1 hour: 1/4 room
Combined in 1 hour:
1/6 + 1/5 + 1/4
When they work together, they paint a room in x hours.
In 1 hour: 1/x room
1/6 + 1/5 + 1/4 = 1/x
10/60 + 12/60 + 15/60 = 1/x
37/60 = 1/x
x = 60/37
Answer: 60/37 hours
4.
Jake: 1 room in 7 hours; in 1 hour: 1/7 room
Karen: 1 room in 5 hours; in 1 hour: 1/5 room
Combined in 1 hour:
1/7 + 1/5
When they work together, they paint a room in x hours.
In 1 hour: 1/x room
1/7 + 1/5 = 1/x
5/35 + 7/35 = 1/x
12/35 = 1/x
x = 35/12
35/12 hours
Answer: 35/12 hours
One number is times a first number. A third number is 100 more than the first number. If the sum of the three numbers is , find the numbers. The three numbers are nothing. (Use a comma to separate answers as needed.)
Question:
One number is 7 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 505, Find the numbers.
Answer:
The numbers are 45, 315 and 145
Step-by-step explanation:
Represent the three numbers with A, B and C
Required
Find A, B and C
From the first statement;
[tex]B = 7 * A[/tex]
[tex]B = 7A[/tex] --- (i)
From the second;
[tex]C = 100 + A[/tex] ---- (ii)
From the third;
[tex]A + B + C = 505[/tex] ---- (iii)
Substitute 7A for B and 100 + A for C in (iii)
[tex]A + 7A + 100 + A = 505[/tex]
Collect like terms
[tex]A + 7A + A = 505 - 100[/tex]
[tex]9A = 405[/tex]
Divide both sides by 9
[tex]A = 45[/tex]
Substitute 45 for A in (i)
[tex]B = 7A[/tex]
[tex]B = 7 * 45[/tex]
[tex]B = 315[/tex]
Substitute 45 for A in (ii)
[tex]C = 100 + A[/tex]
[tex]C = 100 + 45[/tex]
[tex]C = 145[/tex]
Hence, the numbers are 45, 315 and 145