Answer:
5x = x^2 - 6
Step-by-step explanation:
a number can be represented by x,
5 times a number can be represented as the product of 5 and x, 6 less than the square of that number tells us that this is equal to a number squared minus 6. is tells us that these two expressions are equal.
If you want a working number, just solve by completing the square once this is in standard form. This is then converted to vertex form.
x^2-5x-6 = (x-5/2)^2-49/4 = (x^2-5x+25/4) -49/4 = x^2-5x-6.
(x-5/2)^2-49/4=0
(x-5/2)^2=49/4
(x-5/2) = ±√49/4
(x-5/2) = ±7/2
x=5/2±7/2
x=(5±7)/2
x=12/2,-2/2
x=6,-1
Thus, the number can either be 6 or -1.
The area of Jordan's yard can be modeled by the expression 3x2 - 2x + 1. Jordan purchases additional land from his neighbors. The area
this land can be modeled by the expression 4x2 + 3x + 7. Which expression represents the new area of Jordan's yard
Answer:
Step-by-step explanation:
For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
please answer correctly
will give out brainliest, a THX, a friend request, and will rate ur answer
Answer:
10 11/15
Step-by-step explanation:
the improper fraction you would use is 23/5 and 7/3
to convert improper fractions you would take the whole number multiply by the denominator and then add the numerator so 4*5 which is 20 + 3
do that to both fractions then multiply
23 7 and you will get 161/15 which simplifies to 10 11/15
5 3
Answer:
Hi there!!
Your answer is:
[tex]10 \times \frac{11}{15} [/tex]
Step-by-step explanation:
[tex]4 \times \frac{3}{5} [/tex]
Multiply 4 by the denominator and add to the numerator!
4×5+3
20+3
23
23/5 ×
[tex]2 \times \frac{1}{3} [/tex]
2×3+1
6+1
7
7/3×
7/3 × 23/5
7× 23 = 161
3×5= 15
161/15
SIMPLIFY!
10 & 11/15
Hope this helps
What is -9.5-(-8)-6.5
Answer:
-8
Step-by-step explanation:
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Kathy and her brother Clay recently ran in a local marathon. The distribution of finishing time for women was approximately normal with mean 259 minutes and standard deviation 32 minutes. The distribution of finishing time for men was approximately normal with mean 242 minutes and standard deviation 29 minutes. The finishing time for Clay was 289 minutes. Calculate and interpret the standardized score for Clayâs marathon time. Show your work.
Answer:
Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
Step-by-step explanation:
In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.
Let us consider a random variable, X that follows a normal distribution, N (µ, σ²).
Then Z is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,
[tex]Z=\frac{x-\mu}{\sigma}\sim N(0, 1)[/tex]
This, z-score is known as the standardized score.
It is provided that the distribution of finishing time for men (say, X) was approximately normal with mean µ = 242 minutes and standard deviation σ = 29 minutes.
The finishing time for Clay was x = 289 minutes.
Compute Clay's z-score as follows:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{289-242}{29}\\\\=1.67857143\\\\\approx 1.68[/tex]
Thus, Clay's standardized score is 1.68.
That is, Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
John has 6 pancils, 3 blue pens, 5 black pens, and 2 red pens in a cup on his desk Without looking, John pulls a writing utensil out of the cup. Enter the probability that John pulls out a pencil.
Answer:
john has a 6 out of 10 chance of picking a pencil
Answer:
P=37.5%
Step-by-step explanation:
Frequentist Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs relative to the number of times that it could have occurred.
The equation to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Where f is the number of favorable cases and n is the total cases.
John has in a cup of his desk:
6 pencils
3 blue+5 black+2 red pens=10 pens
Picking one of the utensils from the cup can be done in 16 different ways. That is the total number of cases n=16
The outcome of taking a pencil can be done in 6 ways. That is the number of favorable cases. f=6.
The probability is:
[tex]\displaystyle P=\frac{6}{16}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{3}{8}[/tex]
Or expressed as a percentage:
P=3/8*100%
P=37.5%
PLEASE HELP PICTURE ATTACHED
Answer: Its 48in
Step-by-step explanation:
Love you all. And good luck.
In 2012 Staci invested $14,500 in a savings account for her newborn son. The account pays 3.6% interest each year. Determine the accrued value of the account in the year 2030, when her son will go to college. Round your answer the nearest cent.
In the year 2030, the accrued value will be $
Answer: $23,896
Step-by-step explanation:
In the year 2030, the number of years since the investment would be;
= 2030 - 2012
= 18 years.
As the question does not mention that the interest paid is compounded, simple interest will be used;
= Amount + (Amount * interest rate * number of years).
= 14,500 + ( 14,500 * 0.036 * 18)
= $23,896
I always get this one wrong I just need help finding out the right answer
Answer:
b,c,d,f
Step-by-step explanation:
ur welcome
brainliest appreciated
Which of the following is equivalent to the expression 8x+30/10
1. 8x+3
2. 8x+20
3. 4/5x+3
4. 4/5x+30
The length of a rectangle is 11 feet more than the width. If the perimeter is 46 feet, then what is the length of the rectangle, in feet?
Answer:
Hi there!
Your answer is:
The length is 17
Step-by-step explanation:
L= 11+w
P=46
perimeter formula:
W+W+L+L = P
W+W+(11+w)+(11+w) = P
First solve for W
4W+22 = 46
-22
4w=24
/4
w=6
Now plug in W for the L formula
l=11+w
L= 11+ 6
L=17
A bus makes 28 stops every 2 hours. How many stops does it make in 3 hours? in 4 hours?
Answer:
it make 42 stops in 3 hours and in 4 hour it would have made 56 stops in 4 hours
Step-by-Step
my explanation would be so you said 3 hours so take half of 28 and add 14 and 28 together would be 42 and in 4 hours it would have made 56 stops
Judy’s Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy’s assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into the oven for 30 minutes. The oven can hold three cakes at one time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake for pickup and bills the customer, which takes 3 minutes. a. What is the capacity of the process, and what is the bottleneck? b. What is the throughput time for a typical cake? c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Time taken to receive order = 2 minutes
Ingredient mixing and cake loading = 8 minutes
Baking time = 30 minutes
Number of cakes oven can hold at a time = 3
Cooling time = 1 hour = 60 minutes
Cake packing = 2 minutes
Billing customer = 3 minutes
a. What is the capacity of the process, and what is the bottleneck?
The capacity of the process:
Within an hour : two bakings can be done =(30 minutes * 2) = 60 minutes
Also oven can hold 3 cakes, so, 3 cakes can be baked at a time.
Hence, 3 cakes in 30 minutes ;
6 cakes in an hour;
Hence, capacity of the process is 6cakes per hour.
The bottleneck is the oven, because if the number of ovens were to be increased, the process capacity will increase, similarly, if one of the oven gets faulty, then the process capacity reduces further.
b. What is the throughput time for a typical cake?
The throughput time, is the summation of all the time taken to fully complete an order :
Receipt of order + mixing + baking + cooling + packing + billing
2 + 8 + 30 + 60 + 2 + 3 = 105 minutes
c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
(Throughput time / 60) * average number of order
(105/60) * 5
= 1.75 * 5
= 8.75
What value of x is a solution to the equation?
X - 2 = 16 (1 point)
A. 14
B. 18
C. 21
D. 12
Answer:
B. 18
Step-by-step explanation:
we need to isolate x to find the solution
x -2 +2 = 16 + 2
x = 18
County Wexford in Ireland is 10 feet below sea level Dublin Ireland’s capital is 289 feet higher than this
Answer:
239
Step-by-step explanation:
Answer:
The answer is 279.
Step-by-step explanation:
A clothing company wants to ship more items per box. The length, width and height of the new boxes are all twice as long as those of the old
boxes
How does the volume of a new box compare to the volume of an old box?
O A The volume of the new box ls 2 times the volume of the old box.
OB The volume of the new box is 4 times the volume of the old box.
O c The volume of the new box is 6 times the volume of the old box
OD. The volume of the new box is 8 times the volume of the old box.
Answer:
I believe the answer is A
Step-by-step explanation:
I say it's A because the volume is double like it told us. Compared to the new box it's twice as long as the old boxes.
I hope this helps! ~~~~
The volume of the new box is 8 times the volume of the old box.
The correct answer is option (D).
Volume of rectangular box:The volume of a rectangular box with length L, width W and height H is,
V = L × W × H
Given: -
Let [tex]l,w,h[/tex] represents the length, width and height of the old rectangular boxes.
Let [tex]V_o[/tex] represents the volume of the old rectangular box.
⇒ [tex]V_o=l\times w \times h[/tex]
The length, width and height of the new boxes are all twice as long as those of the old boxes.
This means the length, width and height of the new boxes would be [tex]2l,2w,2h[/tex].
Let [tex]V_n[/tex] represents the volume of the new rectangular box.
So, the volume of the new rectangular box would be,
⇒ [tex]V_n=2l \times 2w \times 2h[/tex]
⇒ [tex]V_n = 8 \times l \times w \times h[/tex]
⇒ [tex]V_n=8 \times V_o[/tex]
This means, the volume of the new box is 8 times the volume of the old box.
Hence, option (D) is the correct answer.
Learn more about rectangular prism here:
https://brainly.com/question/21308574
#SPJ2
John bought a car for $36,000, he didn't have enough money to buy the car totally, so he gave $1000 monthly, how much money did he give after 1 year, and how much does he has to give more?
There are twelve months in a year, and he pays $1000 a month, so we get [tex]\$1000*12 = $12,000[/tex] spent in a year. He originally needed to spend $36,000, so he has [tex]\$36,000-\$12,000 = \$24,000[/tex] left.
Please mark as Brainliest if you found this helpful.
Answer:
He payed 12,000 in one year
John has to pay $24000
Step-by-step explanation:
Car cost = $36,000
He gave Monthly = $1000
How much money did he give in a year?
1 year = 12 months
So
$1000 x 12 = 12,000
How does he have balance?
$36,000 - $12,000 = $24,000
John payed $12000 in one year, and has to pay $24000 more to own the car.
Hope you understand
:-)
-50<7k+6<-8 show the steps
Answer:
-8 is less than k is less than -2
Step-by-step explanation:
I think we are trying to find k
-50 is less than 7k+6 is less than -8
-6 -6 -6
-56 is less than 7k is less than -14
-56/7 is less than 7k/7 is less than -14/7
-8 is less than k is less than -2
Hope this helps!
Answer:
Step-by-step explanation:
-50 - 6 < 7k < -8-6
-56 < 7k < -14
-8 < k < -2
Can someone please help and explain this to what the answer is I’ll give brainliest
Answer:
BOTH THE QUESTIONS ARE SAME!!
When finding a perpendicular slope, you need to change the signs and flip the reciprocal
The answer to your question is:
m = -2
A teacher has 25 students in a class. Each student has to pay $12.50 for a workbook to use in class. During the
first week of school, 7 students paid for their workbook. The remaining students paid for their workbook during the
second week of school. How much money did the teacher collect during the second week of school, what is the number problem
If the area of a circle is 64 ft2. What is the radius of the circle?
Answer:
4.51
Step-by-step explanation:
Answer:
r=4.51 ft
Step-by-step explanation:
Hey
What’s 8=D mean? I see it all the time but can’t figure it out! Help! My peers laugh at me. Is it simple math?
Answer:
it's a dirty joke, like when you type things into a calculator and turn it upside down to make it look like a word. It's not an equation
Step-by-step explanation:
Answer:
its a depiction using symbols from a calculator about mens sexual organs its really dirty and you shouldn't use it especially if you are too inoccent to know what it is
Laura sells beaded necklaces each large necklace sells for $6.80 and each small necklace sells for $5.10 how much will she earn from selling three large necklace and one small necklace
Answer:
25.5
Step-by-step explanation:
3 large necklaces equals 20.4 plus 5.10 equals 25.5
= – 1 is a solution of the equation
(a) x – 5 = 6 (b) 2x + 5 = 7 (c) 2(x – 2) + 6 = 0 (d) 3x + 5 = 4
Answer:
c) 2(x-2)+6=0
2(x-2)+6=0
Distribute
2x - 4 + 6 = 0
Combine like terms -4 + 6
2x + 2 = 0
Subtract both sides
2x = -2
Divide both sides
x = -1
15% of X is 20 what is 23% of X
*
1. What is the measure of angle A?
Solve:
r5 - 6 = -1
A) r = 1
B) r = 5
C) r = 10
D) r = 25
Answer:
1
Step-by-step explanation:
1 ×5-6=-1 Define this stuff is really easy are you going to do is look at all the options that they have there for our and fill in for our or whichever one works will equal to -1 so in this case the one that works is -1 Sol is think about it all you got to do is just fill it in like they give an example ours and they gave us a question or sequel to one just put one size 5 - 6 is equal to -1 -1 is what you trying to get
The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 4,700 students who would like to take a course, and there are 58 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor?
Answer:
The number of sections in Ancient history is 10, number of students in Medieval history is 22 and the number of students in Modern history is 13.
Step-by-step explanation:
[tex]x[/tex] = Number of sections in Ancient history
[tex]y[/tex] = Number of sections in Medieval history
[tex]z[/tex] = Number of sections in Modern history
The number of sections that are allowed is 45 so
[tex]x+y+z=45[/tex]
The number of students in each section is 4700 where 100 of them take ancient history 50 of them take medieval history and 200 take modern history so
[tex]100x+50y+200z=4700[/tex]
The number of professors is 58 where Ancient and Medieval History need only 1 professor per section and Modern History sections are taught by a team of 2 professors, so
[tex]x+y+2z=58[/tex]
Solving the first and last equations by subtracting them we get
[tex]-z=-13\\\Rightarrow z=13[/tex]
Substituting this value in the second equation and first equation we get
[tex]100x+50y+2600=4700\\\Rightarrow 100x+50y=2100\\\Rightarrow 2x+y=42[/tex]
[tex]x+y+13=45\\\Rightarrow x+y=32[/tex]
Solving these equations by subtracting them we get
[tex]x=10[/tex]
[tex]x+y=32\\\Rightarrow y=32-10=22[/tex]
So, [tex]x=10, y=22, z=13[/tex]
Hence, the number of sections in Ancient history is 10, number of students in Medieval history is 22 and the number of students in Modern history is 13.
If: \qquad AC = 64 AB = 7x + 8, and BC= 3x+6, Find BC
The answer is 21.
First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.
please help me with this questions
Answer:
See attached
Step-by-step explanation:
The answers added on the picture
Can anyone help with these? I appreciate and I will award 5 stars and brainliest
Graph 1
coordinates : (0,-5) (-6,-2)
m = (y2-y1)/(x2-x1)
m = (-2-(-5))/(-6-0)
m = 3/-6 = -1/2
Substitute the values,
y = mx + c
-2 = (-1/2)(-6) + c
-2 = 3 + c
c = -5
Thus, equation is y = -1/2x -5
Graph 2
coordinates : ( 4,-2) (-5,3)
m = (y2-y1)/(x2-x1)
m = (3-(-2))/(-5-4)
m = 5/-9
Substitute the values,
y = mx + c
-2 = (-5/9)(4) + c
-2 = -20/9 + c
c = 2/9
Thus, the equation is y = -5/9 + (2/9)
Hope it helps :)
