Answer:
Both
Step-by-step explanation:
(5, 3) and (-5, -1)
To get the equation of two points(coordinate)
(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)
(5, 3) --- (x₁, y₁)
(-5, - 1) --- (x₂, y₂)
(- 1 - 3)/(- 5 - 5) = (y - 3)/(x - 5)
-4/-10 = (y - 3)/(x - 5)
4/10 = (y - 3)/(x - 5)
⅖ = (y - 3)/(x - 5)
5(y - 3) = 2(x - 5)
5y - 15 = 2x - 10
5y = 2x - 10 + 15
5y = 2x + 5
Divide through by 5
5y/5 = 2x/5 + 5/5
y = ⅖x + 1
Option 2 is correct
let's see if option 1 is correct
y = ⅖x + 1
add 1 to both sides.
y + 1 = ⅖x + 1 + 1
y + 1 = ⅖x + 2
y + 1 = ⅖(x + 5)
So, option 1 is also correct
Answer:
Both
Step-by-step explanation:
(5, 3) and (-5, -1)
To get the equation of two points(coordinate)
(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)
(5, 3) --- (x₁, y₁)
(-5, - 1) --- (x₂, y₂)
(- 1 - 3)/(- 5 - 5) = (y - 3)/(x - 5)
-4/-10 = (y - 3)/(x - 5)
4/10 = (y - 3)/(x - 5)
⅖ = (y - 3)/(x - 5)
5(y - 3) = 2(x - 5)
5y - 15 = 2x - 10
5y = 2x - 10 + 15
5y = 2x + 5
Divide through by 5
5y/5 = 2x/5 + 5/5
y = ⅖x + 1
Option 2 is correct
let's see if option 1 is correct
y = ⅖x + 1
add 1 to both sides.
y + 1 = ⅖x + 1 + 1
y + 1 = ⅖x + 2
y + 1 = ⅖(x + 5)
So, option 1 is also correct
[tex] \frac{ \zeta(2)}{2} - \frac{ \zeta(3)}3 + \frac{ \zeta(4)}{4} - \frac{ \zeta(5)}{5} + \cdots \cdots \\ [/tex]
Recall the Weierstrass product definition of the gamma function,
[tex]\displaystyle \frac1{\Gamma(z)} = ze^{\gamma z} \prod_{n=1}^\infty \left(1+\frac zn\right) e^{-z/n}[/tex]
from which we can obtain the log-gamma (i.e. logarithm of gamma) function,
[tex]\displaystyle -\ln\Gamma(z) = \ln(z) + \gamma z + \sum_{n=1}^\infty \left(\ln\left(1 + \frac zn\right) - \frac zn\right)[/tex]
where [tex]\gamma[/tex] is the Euler-Mascheroni constant.
Let [tex]z=1[/tex], so that
[tex]\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n - \ln\left(1 + \frac 1n\right)\right)[/tex]
Recall the power series
[tex]\displaystyle \ln(1 + x) = - \sum_{n=1}^\infty \frac{(-x)^n}n[/tex]
Along with the definition of the Riemann zeta function,
[tex]\displaystyle \zeta(a) = \sum_{b=1}^\infty \frac1{b^a}[/tex]
we find that
[tex]\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n + \sum_{m=1}^\infty \frac1m\left(-\frac1n\right)^m\right) \\\\ ~~~~ = \sum_{n=1}^\infty \sum_{m=2}^\infty \frac1m \left(-\frac1n\right)^m \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m}m \sum_{n=1}^\infty \frac1{n^m} \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m \zeta(m)}m[/tex]
so the original sum's value is [tex]\boxed{\gamma\approx0.577216}[/tex].
Bruno’s burgers has a cook to server ratio of 2:5, total number of servers & cooks is 42, how many more servers does Bruno’s burgers employ than cooks
There are 18 more servers than cooks at Bruno's burgers when the ratio is 2 : 5.
We are given that the ratio of cook to server in Bruno's Burgers is given by 2 : 5
We also know that the total number of cooks and servers = 42
Now, let number of cooks be 2 x and the number of servers be 5 x
So, ATQ, we get that:
2 x + 5 x = 42
7 x = 42
x = 42 / 7
x = 6
Number of cooks = 2 x = 2 (6) = 12
Number of servers = 5 x = 5 (6) = 30.
Difference = 30 - 12 = 18
Therefore, we get that, there are 18 more servers than cooks at Bruno's burgers when the ratio is given as 2 : 5.
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I need help with these questions ! Please anyone ?
Answer:
Just plug-in the variable associated with the question.
Step-by-step explanation:
2) w(n) = n² + 5n --> replace the n with 6
4) w(x) = 3x - 1 --> replace the x with -8
6) k(n) = 3n² - 1 --> replace the n with 4
8) g(a) = -2a² + 5 --> replace the a with 9
For example, for number 8, the answer would be -157 if you plug in the value.
g(9) = -2(9)² + 5
= -2(81) +5
= -165 + 5
= -157
Which expression is equivalent to -6 -(-4)
Answer:
B, -6+4
Step-by-step explanation:
By using the distributive property on -(-4) you multiply the negative by -4, which makes it a positive, aka +4
- a negative x a negative = positive
- negative x positive = negative
- positive x positive = positive
Therefore, you get -6+4.
2) Find the greatest common divisor and the least common multiple of 105 and 84.
Answer:
[tex]lcm = 420[/tex]
[tex]hcf = 21[/tex]
Work out (19-4)² ÷ (34 − 5²)
Answer:
25
______________________________________________________
[tex]\left(19-4\right)^2\div \left(34-5^2\right)[/tex]
First, use good ol' PEMDAS to solve the order of operations!
[tex]=15^2\div \left(34-5^2\right)[/tex]
Then, simplify what's inside the parenthesis.
[tex]=15^2\div \:9[/tex]
Calculate the exponents.
[tex]=225\div \:9[/tex]
Divide.
[tex]225\div \:9=25[/tex]
______________________________________________________
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The value of ( 19 - 4 )² ÷ (34 − 5²) is 25.
Here,
The expression is;
( 19 - 4 )² ÷ (34 − 5²)
We have to find the value of given expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
The expression is;
( 19 - 4 )² ÷ (34 − 5²)
To solve, we get;
⇒ ( 19 - 4 )² ÷ (34 − 5²)
⇒ ( 15 )² ÷ (34 − 25)
⇒ 225 ÷ 9
By divide,
⇒ 25
Hence, The value of ( 19 - 4 )² ÷ (34 − 5²) is 25.
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Here is a 5 by 8 grid
Create a design so that the ratio of unshaded squares to shaded squares is 3 : 2
On solving the linear equation, There are in total 24 unshaded squares and 16 shaded squares.
What is a linear equation?Ax+By=C is the usual form for two-variable linear equations. A typical form linear equation is, for instance, 2x+3y=5. When an equation is provided in this format, finding both intercepts is rather simple (x and y).
squares, where x= number of squares
2x = shaded squares
Number of unshaded squares = 3x.
This is due to the fact that there are 3 times as many unshaded squares as there are shaded squares (2 times more unshaded = 3*). (shaded)
Overall, there are 40 squares (5 * 8), therefore 40 total squares—shaded and unshaded—are present.
2x+3x = 40
5x = 40
x = 40/5
x = 8
There are 3×8 = 24 unshaded squares
8×2 = 16 shaded squares in all.
Therefore, you may shade in 8 squares whatever you choose.
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you roll a number cube and record the result. then you roll again until get a greater number. if yiu do this 100 times, about how manybtimes do yiu think you will get that are 2 apart
Reroll 6’s = 26 times
Failed turn on 6's = 21 times
If the initial roll is a 6, the question enters an unending cycle. Reroll till it isn't 6, or simply treat it as a failed round since the roll was legal and didn't result in a pair of twos.
The likelihood of each number being rolled is the same.
If the first roll is n, there are (6 - n) options for the greater number. Thus p = 1/(6 - n) for a specific (possible) result such as n + 2.
Then,
p(2 apart) = p(1, then 3) + p(2, then 4) + p(3, then 5) + p(4, then 6)
Reroll 6’s:
p(2 apart) = (1/5)(1/5) + (1/5)(1/4) + (1/5)(1/3) + (1/5)(1/2)
p(2 apart) = (1/5)(1/5 + 1/4 + 1/3 + 1/2) = 0.25666…
So for 100 times, we will get 26 times 2 apart
Failed turn on 6:
p(2 apart) = (1/6)(1/5) + (1/6)(1/4) + (1/6)(1/3) + (1/6)(1/2)
p(2 apart) = (1/6)(1/5 + 1/4 + 1/3 + 1/2) = 0.2138
So for 100 times, we will get 21 times 2 apart
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Divide.
76 divded by 17
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
4.47 OR,. 4 whole 8/17
4 is the whole 8 is remainder and divisor is 17 as well as dividend is 76
Step-by-step explanation:
[tex] \frac{76}{17} [/tex]
By dividing;
=4.47
Question 1 of 10
What can you say about the y-values of the two functions f(x) = -5* +2 and
g(x)=-5x² +2?
A. f(x) and g(x) have equivalent maximum y-values.
B. The maximum y-value of f(x) approaches 2.
C. g(x) has the largest possible y-value.
D. f(x) has the largest possible y-value.
SUBMIT
In the given function, the Statement B and C are correct.
According to the statement
We have to find that the y-values of the two functions.
So, For this purpose, we know that the
Function is an expression, rule, or law that defines a relationship between one variable and another variable
From the given information:
The given functions are:
f(x) = -5* +2 and g(x)=-5x² +2
In these functions, we see that the when we solve these functions
Then
The maximum y-value of f(x) approaches 2.
And when we solve the function g(x) then g(x) has the largest possible y-value.
Then the statements in the two functions are the Statement B and C correct.
So, In the given function, the Statement B and C are correct.
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Answer if you know your right, bur dont answer just for the points
Answer:
c
Step-by-step explanation:
166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.
7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.
Answer:
C.
Step-by-step explanation:
7/3 = 2.3 > 1 2/3
Do changing tires from the factory tires has an effect on how the car runs? Explain why!
A and B are vertical angles. If mA = (3x +22)° and m/B= (7x – 22)°,
then find the value of x.
Answer:
x = 11
Step-by-step explanation:
If given angles m∠A = (3x +22)° and m∠B= (7x – 22)°, the value of x is 11.
Vertical angles are formed by the intersection of two lines. They are opposite to each other and have equal measures. In this case, we have two vertical angles, ∠A and ∠B.
Given that m∠A = (3x + 22)° and m∠B = (7x - 22)°, we can set up an equation based on the fact that vertical angles are equal.
(3x + 22)° = (7x - 22)°
To solve for x, we can simplify the equation:
3x + 22 = 7x - 22
Next, we can isolate the variable x by moving the terms containing x to one side of the equation:
3x - 7x = -22 - 22
-4x = -44
Finally, we divide both sides of the equation by -4 to solve for x:
x = -44 / -4
x = 11
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how do i simplify (-9)
Answer:
(-9) Simplify is just 9
Step-by-step explanation:
Function yes or no whag is the domain and range?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
Step-by-step explanation:
what is 20 percent of 100?
Answer: 20
Step-by-step explanation: 20÷100×100 =20
[tex]\boxed{\begin{minipage}{5cm}20\:percent\:of\:100\:is\:20, or one-fifth \\ of 100. \end{minipage}}[/tex]
what is the value of x?
Enter your answer in box.
Answer:
Step-by-step explanation:
white cops
what is the diameter of a circle? use 3.14 for pi and enter your answer as decimal
The diameter of the circle whose circumference is 47.1cm comes out to be 15cm
Let us assume the diameter of circle whose circumference be x
The formula for circumference of the circle is 2 r
As we are already been provided with the circumference of the circle in the question as 47.1 cm
The radius of circle is half of the diameter of the circle
So, the radius of the circle is x/2
2 r = 47.1
We will use the value of as 3.14 as provided in the question
2 3.14 x/2 = 47.1
3.14x= 47.1
X=47.1/3.14
X= 15cm
So, the diameter of the circle whose circumference is 47.1cm comes out to be 15cm
The correct question is What is the diameter of a circle whose circumference is 47.1 cm? use 3.14 for pi and enter your answer as decimal
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Find the rational number halfway between the two numbers below.
-1/3 and -3/10
Answer:
-19/60
Step-by-step explanation:
You want the rational number halfway between -1/3 and -3/10.
Average valueThe average of two numbers is the number halfway between them. It is their sum, divided by two.
Effectively, you are being asked for the average of -1/3 and -3/10.
[tex]\text{average }=\left(-\dfrac{1}{3}-\dfrac{3}{10}\right)\times\dfrac{1}{2}=-\dfrac{1\cdot10+3\cdot3}{3\cdot10\cdot2}=\boxed{-\dfrac{19}{60}}[/tex]
1. Solve 2|x-1| = x+8 for x.
20
x = ²0
O{0,-/2}
Ox= -1/32
O no solutions
O
Answer:
no solution
Step-by-step explanation:
2|x-1|=½X+8
|x-1|=x+1
2(x+1)=½X+8
2x+2=½X+8
multiple both side by 2
4x+4=x+16
4x-x=16-4
3x=12
x=4
Desmos here is a rectangular prism made from a stack of cubes. Determine the volume of the stack.
Answer:
Volume = 4 cubic units
Hope this helps :)
Step-by-step explanation:
Formula for Volume of a Rectangular prism = l × w × h
1. Substitute the letters l, w, h with the numbers.
V = 1 × 1 × 4
V = 1 × 4
V = 4 cubic units
HELP ME OUT PLEASE!!!!!!!
Answer:
y = 1/3x - 3
Please help me w the following or else I can’t go to my softball game tomorrow ♀️
The graph cannot be used to complete the table of values and the missing value of a is 7
How to determine the missing value of y's?The graph represents the given parameter
There are no points plotted on the graph
This means that the table of values cannot be completed
Hence, the graph cannot be used to complete the table of values
How to determine the missing value of a?The table represents the given parameter
On the table, we have the following points
(x, y) = (0, -2), (2, 4), (3, a)
Also, we have that the points fall on a line
This means that the points make a linear equation
By analyzing the x and y values, we can see that
As x increases by 2, y increases by 6
This means that as x increases by 1, y increases by 3
So, when x = 3, the value of y is
y = 4 + 3
Evaluate
y = 7
Rewrite as
a= 7
Hence, the missing value of a is 7
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(Solving Linear equations)
I’m doing solving linear equations and I need help do I have to do it this way or can I flip the equation and the answer will be the same? 53=8x+5 .
The equation:[tex]53 = 8x + 5[/tex]
Get 5 to cross over the = sign so it meets its kind which is 53 and then changes to minus(-) due to the equality sign.
[tex]53 - 5 = 8x⟹ 48 = 8x[/tex]
Now divide both sides of the equation by 8 to find the value of x
[tex] \frac{48 }{8} = \frac{8x}{8} [/tex]
[tex]6 = x[/tex]
Therefore:
[tex]x = 6[/tex]
Modern Managed Hospitals (MMH) is a national for-profit chain of hospitals. Management wants to survey patients discharged this past year to obtain patient satisfaction profiles. It wishes to use a sample of such patients. Several sampling techniques are described below. Categorize each technique as simple random sample, stratified sample, systematic sample, cluster sample, or convenience sample.
(a)
Obtain a list of patients discharged from all MMH facilities. Divide the patients according to length of hospital stay (2 days or less, 3–7 days, 8–14 days, more than 14 days). Draw simple random samples from each group.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
(b)
Obtain lists of patients discharged from all MMH facilities. Number these patients, and then use a random-number table to obtain the sample.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
(c)
Randomly select some MMH facilities from each of five geographic regions, and then include all the patients on the discharge lists of the selected hospitals.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
(d)
At the beginning of the year, instruct each MMH facility to survey every 500th patient discharged.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
(e)
Instruct each MMH facility to survey 10 discharged patients this week and send in the results.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
The sampling techniques are given as follows:
a) stratified sample.
b) simple random sample.
c) cluster sample.
d) systematic sample.
e) convenience sample.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.Then:
In item a, patient are divided into groups, and samples from each group are taken, hence stratified sampling is used.In item b, all patients are listed, and a random number table is used to select them, hence it is a simple random sample.In item c, the patients are divided into groups according to regions, and all elements of each group are sampled, hence cluster sampling was used.In item d, one every kth patient was sampled, with k = 500, hence it is a systematic sample.In item e, any of the discharged patients can be sampled, hence they are sampled according to convenience.More can be learned about sampling techniques at https://brainly.com/question/25122507
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Cora hits the bullseye (the 75 point circle) 19 times during the archery season she hits the 33 point circle 238 times
What is the total number of points for those hits
The value of the given equation is 19 x 75 + 238 x 33 = 9279.
fundamental arithmetic operations:Addition, subtraction, multiplication, as well as division, are the four fundamental arithmetic operations. The division represents one of the most fundamental procedures in our daily work. A large group is divided into equal smaller groups. For instance, divide 25 by 5. The division fact, in this case, in this case, will be 25/5 = 5.
According to the given data:She hits the bullseye = 19 times.
she hits the 33 point circle 238 times.
Total number of points:
19 x 75 + 238 x 33 = 9279
19 x 75 = 1425
238 x 33 = 7854
So,
The value of the given equation is 19 x 75 + 238 x 33 = 9279.
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I understand that the question you are looking for is:
Cora hits the bullseye (the 75 point circle) 19 times during the archery season she hits the 33 point circle 238 times. What is the total number of points for those hits Complete the equation to model the situation_. Enter the correct numbers in the boxes. _ x 75 + _ x 33 =
19
+
20
18 17
+ +
20
- 2010)
16
20
+
+
4
20
+
3
20
+
2
20
+
20
Please help math is my weakest subject and I have no idea what to do I’ll give brainliest!!!!
Using translation concepts, we have that:
The vertex of the parent function is (0,0).The vertex of the new function is at (-3,-1).a = -0.5.b = 0.h = -3.k = -1.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is defined by:
f(x) = |x|.
And has vertex at (0,0).
After a translation, the absolute value function is given by:
g(x) = |a(x - h)| + k.
The vertex is at: (h, k).
In this problem, the function is:
g(x) = |-0.5(x + 3)| - 1.
Hence:
The vertex of the new function is at (-3,-1).a = -0.5.b = 0.h = -3.k = -1.More can be learned about translation concepts at https://brainly.com/question/4521517
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Solve for x
5x – 7 = 18
Answer:
x = 5
Step-by-step explanation:
5 x 5 = 25
25 - 7 = 18
a sculptor is making scale models of famous stone landmarks. If his model is to be 112 scale and the original landmark weighs 86 tons, solve the equation 12x=86 to determine how many tons his completed sculpture will be.
Based on the fact that the model has a scale of 1/12, solving the equation of 12x = 86 to determine the tons of the completed sculpture gives 7 tons.
How to find the tons that the completed sculpture weighs?The model is said to have a scale of 1/12 of the original stone landmark which means that if the original famous landmark weighs 86 tons, the tons of the model can be found by the formula:
12x = 86
When solving for x which is the tons of the completed sculpture, the weight would be:
12x = 86
x = 86 / 12
x = 7 tons
In conclusion, the completed sculpture would weigh 7 tons.
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