Answer:
[tex]7^{7}[/tex] = 823543
the unit position (the first) is equal to "3"
Step-by-step explanation:
Rectangle KLMN has vertices K(-5,6), L(-2,9), M(6, 1), and N(3,-2). Determine and state the coordinates of the point of intersection of the diagonals.
Answer:
(0.5,3.5)
Step-by-step explanation:
First, we can draw the image, as shown. The diagonals in the rectangle are the following lines:
from (-2,9) to (3,-2)
from (-5, 6) to (6,1)
To find where they intersect, we can start by making an equation for the lines. For an equation y=mx+b, m represents the slope and b represents the y intercept, or when x=0
For the first line, from (-2,9) to (3,-2), we can calculate the slope by calculating the change in y/change in x = (y₂-y₁)/(x₂-x₁). If (3,-2) is (x₂,y₂) and (-2,9) is (x₁,y₁), our slope is
(-2-9)/(3-(-2)) = -11/5
Therefore, our equation is
y= (-11/5)x + b
To solve for b, we can plug a point in, like (3,-2). Therefore,
-2=(-11/5)*3+b
-2=-33/5+b
-10/5=-33/5+b
add 33/5 to both sides to isolate b
23/5=b
Our equation for one diagonal is therefore y=(-11/5)x+23/5
For the second line, from (-5, 6) to (6,1), if (6,1) is (x₁,y₁) and (-5,6) is (x₂,y₂), the slope is (1-6)/(6-(-5)) = -5/11 . Plugging (6,1) into the equation y=(-5/11)x+b, we have
1=(-5/11)*6+b
11/11 = -30/11 + b
add 30/11 to both sides to isolate b
41/11 = b
our equation is
y = (-5/11) x + 41/11
Our two equations are thus
y = (-5/11) x + 41/11
y=(-11/5)x+23/5
To find where they intersect, we can set them equal to each other
(-11/5)x+23/5 = y = (-5/11) x + 41/11
(-11/5)x + 23/5 = (-5/11)x + 41/11
subtract 23/5 from both sides as well as add 5/11 to both sides to make one side have only x values and their coefficients
(-11/5)x + (5/11)x = 41/11-23/5
11*5 = 55, so 55 is one value we can use to make the denominators equal.
(-11*11/5*11)x+(5*5/11*5)x=(41*5/11*5)-(23*11/5*11)
(-121/55)x+(25/55)x = (205/55) - (253/55)
(-96/55)x = (-48/55)
multiply both sides by 55 to remove the denominators
-96x=-48
divide both sides by -96 to isolate x
x=-48/-96=0.5
plug x=0.5 into a diagonal to see the y value of the intersection
(-11/5)x + 23/5 = y = (-11/5)* 0.5 + 23/5 = 3.5
2.5 kg of oranges cost $ 1.40, what is the cost of
1 kg of orange?
Evaluate C(6, 3)
120
720
20
Answer:
20
Step-by-step explanation:
C(6,3) = 6!/[3!(6-3)!]
= 20
SOMEONE HELP ME PLEASE
For the given question,
Total number of outcomes
= 6 (i.e. 1, 2, 3, 4, 5 and 6)
Number of favourable outcomes
= 4 (i.e. 3, 4, 5, 6)
So,
[tex]P = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes} \\ = > P= \frac{4}{6} \\ = > P = \frac{2}{3} \\ = > P = 0.6666......[/tex]
Which of the following is a correct sine ratio for the figure?
A) C = 12∕13
B) C = 5∕12
C) C = 5∕13
D) C = 13∕12
Answer:
sin C= 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin C= 5/13
R. White and Co. Has total profit of 6/7 million dollars. The spinning department gave a profit 1/4 of million dollars. Find the fraction of profit from other departments.
Answer:
Fraction of profit from other departments = 17/28
Step-by-step explanation:
Total profit of R. White and Co = 6/7 million dollars
Profit from the spinning department = 1/4 of million dollars
Fraction of profit from other departments = Total profit of R. White and Co - Profit from the spinning department
= 6/7 million dollars - 1/4 of million dollars
= 6/7 - 1/4
Lowest common multiple (LCM) of 7 and 4 is 28
= (24-7) / 28
= 17/28
Fraction of profit from other departments = 17/28
Match the equation on the left with the correct solution on the right.
What is the slope of the line described by the equartion below?
y = -2x + 4
I need help.
Answer:
C. –2
Step-by-step explanation:
The slope is equal to the number multiplying the x
Answer:
C
Step-by-step explanation:
Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2
Find the simple interest on ₹ 4000 at 7.5 p.a. for 3 years 3 months. Also find the amount.
Step-by-step explanation:
it is simple you know
make 3 month into year by 3/12
then solve it using formula
In an experiment on the effects of caffeine on the alertness of college students, student volunteers are randomly assigned to two groups. One group is given caffeinated coffee while the other group is given decaffeinated coffee. All participants then play a video game to assess their mental acuity, measured as their final score on the video game. In this study, the group that is given caffeinated coffee is called the:
Answer:
Experimental group
Step-by-step explanation:
During the process of a research study whereby the participants or subject are divided into groups such that some are exposed to the independent variable or treatment while the other subjects are used as control for the study, The group of participants which are exposed or given the actual treatment or independent procedure are called the experimental group. In the scenario above, experimental group are the group of students which were given caffeinated coffee which is the independent variable in this case.
please answer this!!!!!
Answer: Choice A. 338 meters
Step-by-step explanation:
tan(31°)=203/x
Answer: 338 m
Step-by-step explanation:
Tan 59 = x/203
(1.66)(203)=338m
It takes Jacob 25 minutes to line 2/3 of the flag football field. At this rate, how long will it take to line the entire field. *
Answer:
12.5 minutes
Step-by-step explanation:
Just divide 25 by 3 to get 12.5
Answer:
37.5 minutes
Step-by-step explanation:
We can set a ratio to model this problem
It takes Jacob 25 minutes to line 2/3 of the flag football field.
The ratio here is 25 : 2/3.
We want to figure out what x : 1 is.
25 : 2/3
x : 1
We can model this by fractions:
[tex]\frac{25}{\frac{2}{3}} = x[/tex]
When you divide by a fraction, you end up multiplying it by the reciprocal.
[tex]25(\frac{3}{2})=x[/tex]
[tex]x=\frac{75}{2}[/tex]
[tex]x = 37.5[/tex]
Terri is buying some candy at the corner store. There, small candies cost 10 1 point cents each and large ones cost 25 cents each. Terri bought 52 candies and spent $8.05. A system of equations describing this situation could be written in the form below where S represents the number of small candies and L represents the number of large candies. What is the sum of A, B, C and D? *
hi my name how are you home work sind
1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?
A sample space is the space of all the possible outcomes in this event.
Let's define each outcome as:
(first marble, second marble)
Where the first marble can be green or red.
The second marble can be blue or yellow.
Then the possible outcomes are:
(green, yellow)
(green, blue)
(red, yellow)
(red, blue)
So we have four different outcomes, which means that the sample space has 4 elements.
Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.
If you want to learn more, you can read:
https://brainly.com/question/24329720
What is the slope of the function? Then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Complete question is;
Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y – 3 = 2(x – 10)
Step-by-step explanation:
Since the original line is;
y – 3 = (1/5) (x – 10)
This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.
Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;
y – 3 = 2(x – 10)
Which of the following statements is false?
B. A parallelogram is a rectangle.
Slope of (5a, b) and (2a, 2b)
Answer:
8a+4b
Step-by-step explanation:
Joe worked for three days. On the first day, he completed 1/2 of his work. On the second day, he completed 1/3 of the remaining work. What fraction of the work was left for the third day?
Answer:
1/3
Step-by-step explanation:
first day work=1/2
work left=1-1/2=1/2
second day finished=1/3 ×1/2=1/6
work left =1/2-1/6=3/6-1/6=2/6=1/3
Look for a pattern in the first three diamonds below. For the fourth diamond, explain how you could find the missing numbers if you know the two numbers
Answer:
See below.
Step-by-step explanation:
The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.
I'll do problem a as an example:
Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
K(6, 4), L(-6, 4)
9514 1404 393
Answer:
y = 4
Step-by-step explanation:
The given points are on the horizontal line ...
y = 4
This is the standard-form equation of that line.
how do i rename 2/7 and 10/21 and whats the most common denominator for them
The most common denominator for them is the LCM which is 21
Now
2/7 = 2/7×3/3
= 6/21
Therefore 6/21 and 10/21
Must click thanks and mark brainliest
Question 5 10 pts Which function represents the inverse of f(x) = (x + 6)2 - 5? of 1(1) = V1 + 5 - 6 of '(x) = (x + 5)2 - 6 of '(x) = V1 – 6 + 5 Of '(x) = (x + 6 – 5
Answer:
f(x)^-1(x) =sqrt(x+5) -6
Step-by-step explanation:
f(x) = (x + 6)^2 - 5
y = (x + 6)^2 - 5
Exchange x and y and solve for y
x = (y + 6)^2 - 5
Add 5 to each side
x+5 = (y + 6)^2 - 5+5
x+5 = (y + 6)^2
Take the square root of each side
sqrt(x+5 )= sqrt( (y + 6)^2 )
sqrt(x+5 )=(y + 6)
Subtract 6 from each side
sqrt(x+5 ) -6=y + 6-6
sqrt(x+5) -6 = y
What is the ratio of 16 and 8
Answer:
Convert fraction (ratio) 8 / 16 Answer: 50%
Step-by-step explanation:
According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?O Place compass at point D, and draw an arc that intersects the arc above overleftrightarrow DF O Place compass at point F, and draw an arc that intersects the arc above overline DF O.Place compass at point P, and draw an arc above overline DF O Place compass at point P, and draw an arc below overline DF
Answer:
Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA 2nd answer.
Step-by-step explanation:
square root of 800 to the nearest thousandth
Answer:
28.284
Step-by-step explanation:
kiro and lito were assigned the same book to read for a class. kiro started reading on Saturday, and he's reading 20 pages a day. Lito didn't start until Sunday, but he is reading 25 pages a day. How many days will it take Lito to catch up to kiro and how many pages will they have each read?
what system of equations represents this situation and how do you solve it?
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(-1/2, -3)
O A. y = 2x
O B. y=*
O C. y = 3x
ООО
OD. y = -6x
E. y=-*
OF. y = 6x
Answer:
I think the correct answer is F. y = 6x
We will see that the line equation is y = 6*x
How to find a linear equation?
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, the line passes through the points: (0, 0) and (-1/2, -3)
Then the slope is:
[tex]a = \frac{0 - (-3)}{0 - (-1/2)} = 6[/tex]
Then the line is of the form y = 6*x + b
To find the value of b, we use the fact that the line passes through the point (0, 0), then we have:
0 = 6*0 + b
0 = b
We can conclude that the line is y = 6*x
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
convert solar days into minutes
Answer:
1 Solar day = 86,400 seconds (SI Base Unit)
1 day = 1,440 minutes
Step-by-step explanation:
If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️
2(2x+3)=3(3x+1)
Duýdhdhdjjdjdjđm
Answer:
12
Step-by-step explanation:
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Answer:
x=1/2
Step-by-step explanation:
[tex]71 \times 3 + 96 - 5 \div 3 \times 96 + 8[/tex]
thanks.............
:)
;)
Answer:
157
hope it help
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