Answer: 22
Step-by-step explanation: 1/4a + 1/3a + 8 = 22
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
(0, 6) and (2, 96) in exponential function
Answer:
If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
, and solve for b.
If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
. Solve the resulting system of two equations in two unknowns to find a and b.
Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
.
Step-by-step explanation:
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160.
a) What is the difference between Einstein's IQ and the mean?
b) How many standard deviations is that?
c) Convert Einstein's IQ score to a Z-score
d) If we consider "usual IQ scores to be those that convert z-scores between -2 and 2, is Einstein's IQ usual or unusual?
Answer:
A) 60
B) Between 3 and 4
C) [tex] \frac{160 - 60}{16} [/tex]
D) Extremely unusual.
The difference between Einstein's IQ and the mean is 60. There are standard deviations between 3 and 4. Einstein's IQ score to a Z-score is 9.375. If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160.
The difference between Einstein's IQ and the mean :
⇒ 160 - 100 = 60
There are standard deviations between 3 and 4.
Einstein's IQ score to a Z-score:
Here,
ц = 160
σ = 16
X = 100
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (160- 10)/16
⇒ z-score = 150/16
⇒ z-score = 9.375
If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.
Learn more about the z-score here:
brainly.com/question/13793746
#SPJ2
seven million five hundred and forty-two eight hundred in number form pls
Answer:
7,542,800
Step-by-step explanation:
Find the value for each variable.
Step-by-step explanation:
3x=21
x=21/3 = 7.
hope this helps.
The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.
Which type of function best models the relationship between the number of days and the inventory remaining?
Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
What is linear function?
A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.
According to the given equation
We have a graph which shows the remaining inventory.
In which x represents the number of days and y represents the inventory remaining.
Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.
Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.
Substitute y = 30 and x = 14 in y = mx + b
⇒ [tex]30 = m(14) + b...(i)[/tex]
Similarly,
substitute y =65 and x =2 in y = mx + b
⇒[tex]65 = 2m + b..(ii)[/tex]
From equation (i) and (ii)
[tex]m = \frac{-35}{12}[/tex]
and [tex]\frac{50}{3}[/tex]
Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]
Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
Learn more about linear function here:
https://brainly.com/question/21107621
#SPJ2
Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number of teachers?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answer:
10:32
Step-by-step explanation:
32-22=10 male teachers
1
Leo reads 11 pages in hour. What is the unit rate for pages per hour? For hours per page?
4
The unit rate is page(s) per hour.
Answer:
it is 11 pages per hour
Step-by-step explanation:
so if you have 11 in a hour it should be 11 pages per hour
Graph the function
g(x)=10×3/5
Answer:
It is a horizontal line through y-coordinate 6.
Step-by-step explanation:
Because 10*3/5=6.
3/7 rounded to the nearest thousand
Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.
Answer:
Step-by-step explanation:
Solve for b.
8b−1=24b+4
ans = -7
Answer:
Step-by-step explanation:
yeah your answer was wrong so you clearly need help
8b-1=24b+4
subtract 4 from both sides
8b-5=24b
subtract 8b from both sides
-5=16b
divide by 16
b=-5/16
Answer:
b = -5/16
Step-by-step explanation:
8b - 1 = 24b + 4
8b - 24b = 4 + 1
-16b = 5
16b = -5
b = -5/16
The square of the sum of two numbers is 144 and the sum of their squares is 80. Find the numbers.(Use completing the square method)
Please help me
Answer:
Step-by-step explanation:
(x + y)^2 = 144
x^2 + y^2 = 80
----
x + y = 12 ---> y = 12 - x
x^2 + y^2 = 80
x^2 + (12-x)^2 = 80
2x^2 - 24x + 64 = 0
x^2 - 12x + 32 = 0
x = 4, x = 8
y = 8, y = 4
============================
x + y = -12 ---> y = -12 - x
x^2 + y^2 = 80
x^2 + (-12-x)^2 = 80
2x^2 + 24x + 64 = 0
x^2 + 12x + 32 = 0
x = -4, x = -8
y = -8, y = -4
-------------
One number is + or -4, the other is + or -8,
and the absolute value of the sum is 12.
Answer:
(4,8);(8,4);(-4,-8);(-8,-4)
Step-by-step explanation:
Ok, let's start writing down the two conditions:
[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]
Mumble. The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:
[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]
At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.
Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial
[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.
[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]
if i can get 3 snapple Iced tea. and its 3 for $6 How would it be if i get 2 snapple Iced tea?
explain
Answer:
4 dollars for 2 drinks (2 dollars for 1 drink)
Step-by-step explanation:
Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.
3 ÷ 6 = 2
So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D
Answer:
$4
Step-by-step explanation:
If 3 Snapple Iced teas cost $6, we can divide 6 by 3 to find the cost for one.
6/3 is 2 and 2 * 2 is 4, so 2 Snapple Iced teas would cost $4.
a dress which sosts $180 is being sold at a discoundof 10% the amount of the discount is
Answer:
The discount is $18.
In rhombus WXYZ, if WX=15, find YZ.
Answer:
YZ=15
Step-by-step explanation:
All sides of a rhombus are equal so it would be the same length.
solve for x:2a+5=11
[tex]2a + 5 = 11 \\ = > 2a = 11 - 5 \\ = > 2a = 6 \\ = > a = \frac{6}{2} \\ = > a = 3[/tex]
Answer:a = 3
Hope it helps.
Do comment if you have any query.
ill give brainlist again! :( help?
Answer:
3769.91 cm³
Step-by-step explanation:
For Small Cylinder:
Volume = height × π × r²
Volume = 12 cm × π × 10² cm
Volume = 3769.91 cm³
For Large Cylinder:
Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.
Volume = (height × 2) × π × (r × 2)²
Volume = (12 × 2) × π × (10 × 2)²
Volume = 24 cm × π × 20²
Volume = 30159.29 cm³
Answer:
Below.
Step-by-step explanation:
The volume of the smallest cylinder
= πr^2h
= π*10^2*12
= 1200π cm*3.
Now as the radius and height of the large cylinder are 2 times the radius and height of the small one
Volume of the large cylinder = 2^3 = 8 times the volume of the small one
= 8* 1200π
= 9600π cm^3.
2+2 1,000,000,000+1,000,000,000
Answer:
22,000,000,002
Step-by-step explanation:
Hope it helps you
Answer:
Step-by-step explanation:
22,000,000,002
7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;
What is the slope of the line that passes through the points (-3,3) and (-3, 13)?
Write your answer in simplest form.
Answer:
ΔY = 10
Step-by-step explanation:
The transformation shown is a rotation.
True or False
Find the slope of the line containing the points (-3,-4) and (7,-6).
Answer:
-1/5
Step-by-step explanation:
slope formula
Determine what type of function is represented in the table at the
left.
A.)Linear
B.)Quadratic
C.)Exponential
D.)Absolute value
-7x > 10
Solve for x
Answer:
x > -10/7
Step-by-step explanation:
divide both sides by -7 and it will be x= -10/7
(ASAP) I really need help on this I have a C- in Math right now and( I NEED TO GET UP MY GRADE) plsssss
Answer:
answer is <
Step-by-step explanation:
first equation is equal to 6 and the other is equal to 7
Apply the distributive property to factor put the greatest common factor
250 - 150x=
Answer:
50(5-3x)
Step-by-step explanation:
250=2*5^3
150=2*3*5^2
GCF=2*5^2=50
250/50=5
150/50=3
50(5-3x)
What’s the answer to 420 - 69?
Answer:
351
Step-by-step explanation:
Answer:
420 - 69=351Step-by-step explanation:
HOPE IT HELP
PLEASE PLEASE HELP!!!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. Starting with Attempt 1, how many additional
attempts did it take to improve by 60 seconds?
Answer:
A
Step-by-step explanation:
HELP ME PLEASEEEEEE!!!!!!!!
Answer:
probs C
Step-by-step explanation:
hope it helps
Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)
1) True
2) True
3) False
4) False
5) False
6) True
7) True
8) False