Answer:
Slope of points (5,-5) and (-4,5) is \(\mathbf{-\frac{10}{9} }\)
Step-by-step explanation:
We need to find the slope of points (5,-5) and (-4,5)
The formula used to find slope is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)
We have \(x_1=5, y_1=-5, x_2=-4 \ and \ y=5\)
Putting values in formula and finding slope
\(Slope=\frac{y_2-y_1}{x_2-x_1}\)
\(Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}\)
So, slope of points (5,-5) and (-4,5) is \(\mathbf{-\frac{10}{9} }\)
If Sarah has 20 cookies but 40 friends and 2 are lactose intolerant what should she do to satisfy all of her friends?
Answer: split the cookies in half and throw 1 cookie away
Step-by-step explanation: This question is not too specific so i cannot answer it to my full capacity but if there are 40 and 20 cookies split them and if 2 of those friends cannot eat it you can play a game to see who gets those pieces of cookies or throw them away or eat them yourself.
The angles of a triangle are in a ratio 1:3:8. What are the angles?
Answer:
15° , 45°, 120°
Step-by-step explanation:
sum the parts of the ratio, 1 + 3 + 8 = 12 parts
the sum of the 3 angles in a triangle = 180° , then
180° ÷ 12 = 15° ← value of 1 part of the ratio, then
3 parts = 3 × 15° = 45°
8 parts = 8 × 15° = 120°
the 3 angles are 15° , 45° , 120°
Determine if the sequence is geometric . If it is , find the common ratio , the explicit formula and the recursive formula .
1. -40 , 20 , -100 , 500
2. 4 , 20 , 100 , 500
3. 4 , 24 , 144, 864
5. 3 , -12 , 48 , -192
Step-by-step explanation:
if it is a geometric sequence, then
sn = sn-1 × r
with r being the common ratio.
1.
s2 = s1 × r
20 = -40 × r
r = 20/-40 = -1/2
but the same r has to apply to all other terms, if it is geometric.
s3 = s2 × r
-100 = 20 × -1/2 = -10
this is wrong, so, it is not geometric.
2.
s2 = s1 × r
20 = 4 × r
r = 20/4 = 5
but the same r has to apply to all other terms, if it is geometric.
s3 = s2 × r
100 = 20 × 5 = 100
s4 = s3 × r
500 = 100 × 5 = 500
this is all correct, so, it is geometric.
sn = sn-1 × 5
sn = s1 × 5^(n-1) = 4 × 5^(n-1)
3.
s2 = s1 × r
24 = 4 × r
r = 24/4 = 6
but the same r has to apply to all other terms, if it is geometric.
s3 = s2 × r
144 = 24 × 6 = 144
s4 = s3 × r
864 = 144 × 6 = 864
this is all correct, so, it is geometric.
sn = sn-1 × 6
sn = s1 × 6^(n-1) = 4 × 6^(n-1)
5.
s2 = s1 × r
-12 = 3 × r
r = -12/3 = -4
but the same r has to apply to all other terms, if it is geometric.
s3 = s2 × r
48 = -12 × -4 = 48
s4 = s3 × r
-192 = 48 × -4 = -192
this is all correct, so, it is geometric.
sn = sn-1 × -4
sn = s1 × (-4)^(n-1) = 3 × (-4)^(n-1)
Find the difference between 8.72 and 0.872
Answer:
Step-by-step explanation:
Find the difference between 8.72 and 0.872. This just means to subtract 0.872 from 8.72. \(8.72-0.872=7.848\)
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
Answer: The answer to your question is C. Brainliest?
Step-by-step explanation:
For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:
2/12 = (2 x 5) / (12 x 5) = 10/60
For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:
2/15 = (2 x 4) / (15 x 4) = 8/60
Now, we can add the two fractions:
10/60 + 8/60 = 18/60
Simplifying this fraction by dividing both numerator and denominator by 6, we get:
18/60 = 3/10
Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.
The answer is C. 0.3.
6x(24÷2) equals what?
Answer:
72
Step-by-step explanation:
do 24/2=12x6=72
:
What is 475.189 rounded to the nearest hundredth?
Answer:
It is:475.19.
HOPE THIS HELPED
Answer:
475.19.
Step-by-step explanation:
The hundredths place is two places to the right of the decimal, or (0.01).
In the number given, the number to the right of the hundredths place is larger than 5, meaning we will round up giving us:
475.189 --> 475.19.
One shirt at H&M cost $7. what is the cost of 40 shirts
Answer:
$280
Step-by-step explanation:
7•40=$280
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Is the origin located at the intersection of the x - and y -axis
yes it is because thats exactly where its located
help! asap! algebra 2
We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.
Doing this gives us \((-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}\)
What is the perimeter of half a circle if the base is 20cm
Hello,
1. Formulacircle's perimeter = 2 × π × r
you want the perimeter of half a circle :
half circle's perimeter = π × r
2. Applicationdiameter = 20cm
radius = 20/2 = 10cm
P = π × 10 ≈ 31,41cm
3. ConclusionThe perimeter of half a circle if the diameter is 20cm = 31,41cm.
helpppp...........................
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
Can someone help me with this problem
Answer:
1x
Step-by-step explanation:
THIS IS DUE IN 10 MINS
Answer:
D
Step-by-step explanation:
In a classroom libray Mrs. Sterling has 16 mystery books, 4 fantasy, 4 biographies, 4 poetry books, 2 comic books, and 2 cookbooks. A book is selected from the classroom library at random. What is the probability that the book is a mystery book?
Such probability is calculated by dividing the number of mystery books by a total number of books:
--> \(\frac{16}{32} = \frac{1}{2}\)
Thus the probability that the book is a mystery book is 1/2.
Hope it helps!
why do the hands on the clock form an angle?
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
this is your question
Answer:
0.18
Step-by-step explanation:
probability adds to 1 so you do the stuff and get the answer
I MEED HELPP WITH THIS PAGE PLSSS
9. The value of x is 7
10. In the figure x = 10
11. The relationship is that their sum is 180 degrees
This relationship is known as the Same-Side Interior Angles Theorem.
12. The statement is true.
Supporting statement: If the two lines are parallel, then the alternate exterior angles created by the transversal line are equal
14 < 3 = 94 degrees
How to find the value of x9. The value of x is solved using the knowledge of corresponding angles are equal
< A = < B
4x = 3x + 7
x = 7
10. In the figure < 3 and < 6 are alternate internal angles which is equal
7x - 10 = 5x + 10
7x - 5x = 10 + 10
2x = 20
x = 10
11. The relationship between the interior angles on the same side is that their sum is 180 degrees
This relationship is known as the Same-Side Interior Angles Theorem. It is a fundamental concept in geometry and is used to solve problems involving parallel lines and transversals.
12. The statement is true.
Supporting statement: If the two lines are parallel, then the alternate exterior angles created by the transversal line are equal
13. The measure of w is solved using the idea of vertical angels
w + 85 = 148
w = 148 - 85
w = 63
14. The mistake is that < 5 is not corresponding angle to < 2
The correct solution is < 3 = < 5 alternate internal angles
< 3 + 86 = 180 supplementary angles
< 3 = 180 - 86
< 3 = 94 degrees
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A toy doll weighed one-fourth of a pound, and the box used to ship them can hold 5 pounds. How many toy dolls can the box hold?
Answer:
20 toy dolls
Step-by-step explanation:
1 doll = 1/4
So, 4 dolls = 4/4
4 x 5 = 20
an academic department has just completed voting by secret ballot for a department head. the ballot box contains four slips with votes for candidate a and three slips with votes for candidate (a) List all possible outcomes. This answer has not been graded yet. (b) Suppose a running tally is kept as slips are removed.
Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)
What is probability?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.
Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:
AAAA
AAAB
AABA
ABAA
BAAA
AABB
ABAB
BABA
BBAA
ABBB
BABB
BBAB
BBBA
(b)
For instance, the following results could occur if the slips were removed in the following order:
A (1 vote for contender A) (1 vote for candidate A)
AA (2 ballots for candidate A) (2 votes for candidate A)
AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)
AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)
AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)
AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)
AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)
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What is the total volume of the figure? Pls help
Answer: 58 in
Step-by-step explanation:
How could you use a multiplication algorithm to multiply a 4-digit number by a 1-digit number?
Choose all that apply.
Multiply each place value in order. Regroup if needed. Add any regrouped values to each place value.
Add the digits in the 4-digit number and multiply by the 1-digit number.
Multiply to find the partial products and then add.
Use place value to rewrite the 4-digit number as a sum. Use the Distributive Property to find partial products. Add.
Multiply the digits in the 4-digit number and add the 1-digit number.
Answer:
is 1,2,3 the answer ? if not what is the answer cuz im doing the same question
Step-by-step explanation:
What is the value of C
Answer:
72
Step-by-step explanation:
Assuming that the right column is obtained by multiplying the value in the left column by 6, 12 times 6 is 72.
Answer:
72
Step-by-step explanation:
We can see that the numbers in the left column is being multiplied by 6 to obtain the numbers in the right column respectively
Therefore, C = 12 x 6
= 72Help me please fast fast fast
Answer:
4
Step-by-step explanation:
\((\frac{1}{2})^2\times(3\times5-3)+1^3\)
This is an order of operations problem. II'll use using PEMDAS here:
P: Evaluate expressions in parenthesis firstE: Evaluate terms with exponentsMD: Evaluate multiplication and division from left to rightAS: Evaluate addition and subtraction from left to rightParenthesis first. The first expression in parenthesis is already as simplified as it gets, so up next is the second one:
\(3\times5-3\)
There are no parenthesis and there are no exponents, so do the multiplication first.
\(\rightarrow 3\times5-3\\\rightarrow 15-3\\\rightarrow 12\)
Back to the original expression and we now have:
\((\frac{1}{2})^2\times(12)+1^3\)
Exponents comes next:
\(\rightarrow (\frac{1}{2})^2=\frac{1^2}{2^2}=\frac{1}{4}\\\\\rightarrow 1^3=1\)
Now we have:
\(\frac{1}{4}\times12+1\)
Multiplication comes next:
\(\rightarrow \frac{1}{4}\times12=\frac{1}{4}\times\frac{12}{1}=\frac{12}{4}=3\\\\3+1\)
Finally, addition.
\(3+1=4\)
If a store marks up merchandise by 40% on cost, what is the markup in dollars on an item costing $80?
You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
a survey has to be taken to estimate the proportion of voters who favored stem cell research among the
The proportion of voters who favor stem cell research can be estimated by taking a survey and calculating (Number of voters who favor stem cell research / Total Number of voters) x 100.
Proportion of favor stem cell research = (Number of voters who favor stem cell research / Total Number of voters) x 100
In order to estimate the proportion of voters who favor stem cell research, a survey has to be taken. Suppose the survey results indicate that out of a total of 500 voters, 300 of them favor stem cell research. Then, the proportion of favor stem cell research would be calculated as follows: Proportion of favor stem cell research = (300/500) x 100 = 60%. This means that 60% of the total voters favor stem cell research.
The proportion of voters who favor stem cell research can be estimated by taking a survey and calculating (Number of voters who favor stem cell research / +++Total Number of voters) x 100.
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