Answer:
Length of hypotenuse = 44√2 in²
Step-by-step explanation:
Given:
Length of legs = 44 in
So,
Perpendicular = 44 in
Base = 44 in
Find:
Length of hypotenuse
Computation:
Hypotenuse = √Perpendicular² + Base²
Length of hypotenuse = √44² + 44²
Length of hypotenuse = 44√2 in²
you will get a loan from a bank for $5000. The interest rate will be 8% and the loan will be for 3 years. You will need to calculate the total amount that you would be paying back to the bank.
If you were to get a 10% pay increase, write and solve an equation to show how many hours you would need to work to pay for your trip?
Answer:
5000×8×3/100
1200
1200×10/100
120
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
The population of a town has been growing, following the equation P = 300t + 6000, where t is
years after 2010. The number of restaurants in the town has been growing according to the
equation R = 5t + 45.
Answer:
0.01 restaurants per person107.14 in persons per restaurantStep-by-step explanation:
P = 300 (2015-2010) + 6,000
P = 300(5) + 7,000 = 7 ,5 0 0
The number of restaurants prediction for 2015 is:
R = 5(2015-2010) + 45
R = 5(5) + 45 = 70
So per person, there would be:
70 Restaurants for 7,500 People that is: 70/7500
or 0.00933333333 which is 0.01 in nearest unit restaurants per person ←
per restaurant, there would be: 7500/70
or 107.14 in persons per restaurant
A personal identification number (PIN)
consists of four digits. Consider the
PIN 0005 equal to the number 5, etc. Find
the probability that a PIN number is:
a equal to 0000
b less than 8000 and more than 7900
c divisible by 10
d at least 13.
Using the probability concept, it is found that there is a:
a) 0.0001 = 0.01% probability that a PIN number is equal to 0000.b) 0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.c) 0.1 = 10% probability that a PIN number is divisible by 10.d) 0.9988 = 99.88% probability that a PIN number is at least 13.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A personal identification number (PIN) consists of four digits, and considering they can repeat, the total number of PINs is:
[tex]T = 10^4 = 10000[/tex]
Item a:
A PIN equals to 0000 is one outcome, hence:
[tex]p = \frac{1}{10000} = 0.0001[/tex]
0.0001 = 0.01% probability that a PIN number is equal to 0000.
Item b:
In this interval, there are 8000 - 7900 - 1 = 99 possible values, hence:
[tex]p = \frac{99}{10000} = 0.0099[/tex]
0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.
Item c:
One in ten numbers are divisible by 10, hence:
[tex]p = \frac{1}{10} = 0.1[/tex]
0.1 = 10% probability that a PIN number is divisible by 10.
Item d:
12 numbers, from 1 to 12, are less than 13, hence 10000 - 12 = 9988 are at least 13, hence:
[tex]p = \frac{9988}{10000} = 0.9988[/tex]
0.9988 = 99.88% probability that a PIN number is at least 13.
You can learn more about the probability concept at https://brainly.com/question/15536019
If a line falls on the points (6, 8) and (1,5), what is its slope? Enter your
answer as a fraction in lowest terms. Use a slash mark (/) as the fraction
bar.
Answer:
3/5 is the slope
Step-by-step explanation:
A P E X
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Did you want us to answer the question?
Step-by-step explanation:
below are two parallel lines with a third line intersecting them
Answer:
x = 129
Step-by-step explanation:
x = 129 because of alternate interior angles
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
ig its box B if it was wrong sorry! but yes ig its B
Mrs. Flores asked her students to write a number, its opposite, and its absolute value, in that order. Four of her students turned in their work below.
Student Work
Keenan -1285, -1285, 1285
Sarah 1416, -1416, 1416 Ahab -1383, 1383, -1383
Ji-yoon 1574. -1574, -1574
Which student correctly listed a number, its opposite, and its absolute value in the correct order?
Answer:
Sarah is correct
Step-by-step explanation:
Required
Which of the students is correct
Let a number be x,
Given what the teacher asked the students to do, the solution is:
[tex]Number = x[/tex]
[tex]Opposite = -x[/tex]
[tex]Absolute = |x|[/tex]
Only Sarah got this correctly; others are incorrect.
The proof is as follows.
For Sarah
[tex]Number = 1416[/tex]
[tex]Opposite = -1416[/tex]
[tex]Absolute =|1416| = 1416[/tex]
So, the numbers will be: 1416, -1416 and 1416
Other students are incorrect
If it will cost $4.00 for 3 chocolate bars, how much will it cost for 12 chocolate bars?
Answer:
I believe the answer is $16
Step-by-step explanation:
I divded the $4 dollars by 3 chocolate bars and got 1.3 repeating. Then multiplied that by 12 and got 16 :)
Answer: 16
Step-by-step explanation:
3x4=12
4x4=16
Please help me !!!!!!!!!!!!!!!!!!!
Answer:
5) arccos A = 28°
6) arcsin A = 53°
Step-by-step explanation:
5) cos A = 30/34
6) sin A = 32/40
5)
For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).
In this case,
cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17
6)
For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.
In this case,
sin(A) = opposite / hypotenuse = 32 / 40 = 4/5
A way to remember sine, cosine, and tangent is SOHCAHTOA, where
SOH is Sine = Opposite / Hypotenuse
CAH is Cosine = Adjacent / Hypotenuse
TOA is Tangent = Opposite / Adjacent
what is the answer to 1200 x 4500 = ?
Answer:
5400000
Step-by-step explanation:
To make it easier.
12 x 45, then add your four zeros on your answer!
Hope this helps!
Yours Truely, TheAnimeCatUwU
21.evaluate 22.find dy/dx
9514 1404 393
Answer:
y' = -y/x
Step-by-step explanation:
It looks like you have ...
e^z -z = 0 . . . . . where z = xy
Differentiating with respect to x gives ...
z'·e^z -z' = 0
z'(e^z -1) = 0
The zero-product rule tells you this is true for e^z = 1, which is not useful for finding y', and for z' = 0, which is.
z = xy
z' = y +xy' = 0
y' = -y/x
_____
Additional comment
There appear to be no real values of x and y that will make your equation true.
use the distributive properties to remove the parenthesis from the equation 10(2/5+2y)
URGENT PLZ HELP
find the diameter of circle Q if angle PQR measures 31° and the arc length of PR is 9 cm
Answer:
33.4 cm
Step-by-step explanation:
Given:
θ = 31°
Arc length of PR = 9 cm
Required:
Diameter
Solution:
Diameter of the circle = 2*radiius = 2*PQl
Arc length = θ/360 × 2πr
Plug in the values into the equation
9 = 31/360 × 2πr
9 = 0.54r
9/0.54 = r
16.6666667 = r
r = 16.7 cm
Radius = 16.7 cm
Therefore,
Diameter = 2*radius = 2*16.7 = 33.4 cm
What is the slope of y = 4 - 2x?
Answer:
The slope is -2
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m
is the slope and b is the y-intercept.
[tex]y = mx + b[/tex]
Reorder 4 and -2x.
[tex]y = - 2x + 4[/tex]
Using the slope-intercept form, the slope is −2.
[tex]m = - 2[/tex]
Hence, the slope is -2.
The equation y = 4- 2x has a slope of -2.
The pitch of a direct equation is the measure of the term containing the independent variable( in this case," x").
In the equation y = 4- 2x, the measure of "x" is-2. thus, the pitch of the equation is-2.
We know equation is in slope-intercept form (y = mx + b), where "m" represents the slope.
The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).
In this case, for every unit increase in x, the value of y diminishments by 2 units. This indicates a downcast pitch.
In summary, the equation y = 4- 2x has a slope of -2.
Learn more about Slope here:
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A professor of statistics wants to test that the average amount of money a typical college student spends per day during spring break is over $70. Based upon previous research, the population standard deviation is estimated to be $17.32. The professor surveys 35 students and finds that the mean spending is $72.43. How would you calculate the p-value for this test
Answer it is 456y5445t6y5432
Step-by-step explanation:
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If the half life of a substance is 4 weeks, how long will it take for 400 mg of this substance to decay to 25 mg?
Answer:
I believe the answer is 16 weeks.
Step-by-step explanation:
Sorry for the wait
Find the slope and the y-intercept of the graph of y=11+1.5x.
Answer:
Step-by-step explanation:
Students in 4th and 5th grade took a survey regarding their favorite cafeteria food. What percent of the students selected pizza as their favorite food? (Will give brainly plus 50 points if correct)
A) 30%
B) 40%
C) 60%
D) 20%
(Teachers Hint: "For this one you need to set up a proportion. Start by finding the total amount of kids asked (60 + 110 + 120 + 10 = 300). Then set up the proportion:
pizza % 60 x
_____ = _____ ____ = ____
Total 100 300 100
Cross multiply and divide to get your answer!")
Answer:
the answer to your question will be D, 20%
¿que es una estadística?
√25- a + √9-a=?
If √25-a - √9-a=2
Answer:
8
Step-by-step explanation:
please help 7x1990x19x43
Answer:
11380810
Step-by-step explanation:
hope this helps
PLS HELP 20 PONTS! which expression is equivalent to -2.5(1-2n) - 1.5n. select all that apply
Answer:
B
Step-by-step explanation:
Answer:
-2.5 + 3.5 n
PLZ HELP, BEST ANSWER WILL BE CHOSEN FOR BRAINLIEST!!!!!
Answer:
A square root of 80 m
Step-by-step explanation:
Answer:
A- square root of 80 m
Step-by-step explanation:
we will do 4 power 2 becuse we have two four then plus 8 power 2 becuse we have two eight equall C power 2
[tex]4^{2} +8^{2}=C^{2}[/tex]
Then will be 80 equal C powe 2
[tex]80=C^{2}[/tex]
Then C will equall roots 80
[tex]\sqrt{80}m[/tex]
what is the equation of the following direct variation y=2x, y=1/2x, y=-1/2x, y=-2x
Answer:
The answer would be y=-2x
Answer:
Equation y =2x represent the direct variation .
Step-by-step explanation:
Given : Equations y = 2x , y = x + 4 , y = 1/2x , y = 3/x .
To find : Which equation represents a direct variation.
Solution : We have given that equations
Direct variation : The statement "y varies directly as x," mean y and x always have the same ratio: k = .
Where k is constant of variation ,
We can write it as y = kx .
We can see that in equation y = 2x is the same as the above equation
On comparing k = 2.
Therefore, Equation y =2x represent the direct variation .
Hope it helps pls give me brainliest if it is. Thanks xx Happy Easter!
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
Neelam is pouring sand into a clear box to make sand art. The box is a right rectangular prism, and the base of the box is a right rectangular prism, and the base of the box is 7 in. by 2 1/2 in. She pours in red sand until the volume of the sand is 26 1/4 in.3. Then she pours in blue sand. Now the volume of the sand is 43 3/4 in.3. How much does the level of the sand rise when Neelam adds the blue sand?
The level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
It is given that:
Neelam is pouring sand into a clear box to make sand art.
The volume of the sand = 43 3/4 - 26 1/4
After simplification:
The volume of the sand = 17 1/2
The height of the sand = 17 1/2 ÷ (7x 2 1/2)
After solving:
The height of the sand = 1 inch
Thus, the level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.
Learn more about the volume here:
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A new pop-up restaurant serving high-end street tacos just opened and is expected to have high demand based on the chef's prior restaurant experience. The pop-up restaurant has only one window where customers order and receive their food. It takes an average of 5 minutes to serve a customer. There is no seating available so the customer exits the system after receiving their order.
Due to the creative marketing strategy of "hiding" the restaurant location, only 10 customers arrive per hour. There is no specific pattern to the distribution of time between arrivals or service times, but from historical data from prior pop-ups, the coefficient of variation for time between arrivals is 2.58 and service time is 0.75.
1. What type of queuing model is this process?
a. single-channel, multi-phase.
b. multi-channel, multi-phase.
c. single-channel, single-phase.
d. multi-channel, single-phase.
2. How many customers would you expect to find waiting in line?
a. 3.
b. 18.
c. 10.
d. 0.
e. 7.
f. 15.
g. 12.
3. For new customers, how long do they have to wait in total before they leave with their food?
a. 45 minutes.
b. 20 minutes.
c. 50 minutes.
d. 95 minutes.
e. 15 minutes.
f. 100 minutes.
g. 40 minutes.
h. 10 minutes.
i. 0 minutes.
j. 90 minutes.
Answer:
1. c
2. f
3. d
Step-by-step explanation:
This type of queuing model is an example of "single-channel, single-phase" process.
However, from the information given:
The inter-arrival rate = 10 customers per hour
Arrival time = 6 minutes
Service time = 5 minutes
∴
utilization = service time/arrival time
= 5/6
Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]
[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]
[tex]T_q = 25 \times 3.60945[/tex]
[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]
Thus, customer waiting in the queue line is;
[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]
Thus, new customers will have to wait in a total time of;
= waiting time + service time
= 90 + 5
= 95 minutes.
How many 1/2 liter cups can be filled with 500 mil liters of liquid?
Answer:
1
Step-by-step explanation:
we know,
1/2 liter=500mil
so,1 cups can be filled with 500 mil liters of water