well, keeping in mind a year has 12 months, thus 4 months is really 4/12 of a year
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$4200\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\to \frac{4}{12}\dotfill &\frac{1}{3} \end{cases} \\\\\\ I = (4200)(0.045)(\frac{1}{3}) \implies I=63[/tex]
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]
______________________________________________________
Learn more about PEMDAS:
https://brainly.com/question/10850764
Have a WONDERFUL day! (:
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.
Learn more about the mathematical expression visit:
https://brainly.com/question/27984898
#SPJ2
[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].
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
can I get some help , there's more questions if u can add me on sn^p and help me please
Answer:
-8
Step-by-step explanation:
Substitute -8 for x
h(-8) = ((-8)² + 3(-8)) ÷ (4(-8) + 27))
= (64 - 24) ÷ (-32 + 27)
= 40 ÷ -5
= -8
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
To learn more about angles click on,
https://brainly.com/question/28821906
#SPJ2
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
Read more about linear equations at
https://brainly.com/question/14323743
#SPJ1
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
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
#SPJ1
What is the value of 14-2.3+42?
Answer: 53.7
I hope this helps!
Do changing tires from the factory tires has an effect on how the car runs? Explain why!
8³-15(17-3)-(7²)
What is the answer
Answer:
253
Step-by-step explanation:
512-15×14-49
512-210-49
302-49
= 253 Ans
how do i simplify (-9)
Answer:
(-9) Simplify is just 9
Step-by-step explanation:
Solve for x
5x – 7 = 18
Answer:
x = 5
Step-by-step explanation:
5 x 5 = 25
25 - 7 = 18
f(a)=-2a-4
g(a) =a^ 2+3
Find (f/g)(7)
[tex](f/g)(7)=-\frac{9}{26}[/tex].
Step-by-step explanation:1. Write the expressions.[tex]f(a)=-2a-4\\ \\g(a) =a^ 2+3[/tex]
2. Since we need to find f/g, we take the arguments of both f(a) and g(a) and divide them.[tex]\frac{-2a-4}{a^ 2+3}[/tex]
3. Evaluate the expression by the indicated number.For this, we substitute a by 7 throughout the entire expression and calculate.
[tex]f/g(7)=\frac{-2(7)-4}{(7)^ 2+3}=\frac{-18}{52} =-\frac{9}{26}[/tex]
4. Express your result.[tex](f/g)(7)=-\frac{9}{26}[/tex].
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
To know more about Probability, refer to this link :
https://brainly.com/question/5086238?referrer=searchResults
#SPJ1
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
#SPJ1
what is the value of x?
Enter your answer in box.
Answer:
Step-by-step explanation:
white cops
what value does the 8 represent in the number 281.9
A location on Earth’s equator moves approximately 2.075 miles in 2 hours because of Earth’s rotation on its axis. At this rate, how far approximately does this location rotate in 1 day? (2 hours = 1/12 day)
The location rotates 24.9 miles in 1 day
It is a method in which one finds the value of a unit from the value of a number of units and the value of a number of units from the value of a unit.
In the unit method, we always count the value of a unit or quantity first, and then we calculate the value of more or less quantities. This is why this method is called the unitary method.
Earth equator moves 2.075 miles in 2 hours, We need to find how far does this location rotate in 1 day
Using Unitary Method
2 hours = 2.075 miles
1 hour = 2.075/2 mile
1 hour = 1.0375 mile
1 day = 24 hours
24 hours = 1.0375 *24
= 24.9 miles
The location rotates 24.9 miles in 1 day
Learn more about Unitary Method here
https://brainly.com/question/24587372
#SPJ9
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.
Learn more about ratio here:
https://brainly.com/question/2328454
#SPJ9
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.
To learn more about linear equation from given link
https://brainly.com/question/2030026
#SPJ9
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]
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
The radius of circle S is half the radius of circle L. The radius of circle L is 8 millimeters.
Which measurement is closest to the area of circle S in square millimeters?
A 50.24 mm²
B 25.12mm²
C 200.96mm²
D 12.56mm²
Answer:b
Step-by-step explanation:
The area of circle S will be 50.24 mm². Then the correct option is A.
What is the area of the circle?Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius of circle S is half the radius of circle L.
Let 'r₁' be the radius of circle S and 'r₂' be the radius of circle L. Then the equation is given as
r₁ = r₂ / 2
The radius of circle L is 8 millimeters. Then the radius of the circle S is calculated as,
r₁ = 8 / 2
r₁ = 4 mm
The area of the circle S is calculated as,
A = πr₁²
A = 3.14 x (4)²
A = 50.24 mm²
The range of the circle S is 4 mm. Then the region of the circle S will be 50.24 mm². Then the right choice is A.
More about the area of a circle link is given below.
https://brainly.com/question/11952845
#SPJ2
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
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:
Combine the like terms to create an equivalent expression. m + 8 + 6n – 3 =
Answer:
m+6n+5
Step-by-step explanation:
Let's simplify step-by-step.
m+8+6n−3
=m+8+6n+−3
Combine Like Terms:
=m+8+6n+−3
=(m)+(6n)+(8+−3)
=m+6n+5
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]