Answer:
Step-by-step explanation:
x=6
y=4
5x-y^2 :2
5×6 - 4 ^2 :2
30 - 16 :2
30 - 8
22 (the wright answer)
Circle the mistake :x =6 and y =4 it's not x=4 and y=6
Explain the mistake :when you calculed with x=4 and y=6 the final answer is wrong.
The capacity of one sachet pure water is 500ml. How many sachet of pure water is needed to fill a barrel of 5,685 litres capacity?
Answer:
11370 sachet
Step-by-step explanation:
Answer:
11370 sachets
Step-by-step explanation:
Given parameters:
Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L
Unknown:
Number of sachet of pure water needed to fill a barrel of 5685liters + /
Solution;
To find the number of sachet;
500 x 10⁻³L will fill one sachet of pure water;
For 5685 liters, we would require y sachet of pure water ;
500 x 10⁻³y = 5685
0.5y = 5685
y = [tex]\frac{5685}{0.5}[/tex] = 11370 sachets
A jazz band wants to sell $24,000 worth of tickets. If each ticket costs $80, how many tickets will the band have to sell to meet its goal?
Answer:
300
Step-by-step explanation:
24000/80
Answer:
300
Step-by-step explanation:
you have to sell $24000 worth of tickets and each is $80, so you do 24000/80 which you get 300 so you have to sell 300 more to meet its goal. since one ticket is 80 dollars then you divide 24000 with 80 so you get how many more tickets need to be sold. If you check your answer 300 tickets and each is $80 you do 300x80 which gives you $24000.
3.) Find the domain and range for each of the following functions.
Use the definition:
f'(x)=[tex]\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
to find f'(x) for:
f(x)=[tex]\frac{1}{\sqrt{x}}[/tex]+x
I need the WORK, not the answer. Thanks!
Using the given definition, for [tex]f(x)=\frac1{\sqrt x}+x[/tex], we have
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\left(\frac1{\sqrt{x+h}}+x+h\right)-\left(\frac1{\sqrt x}+x\right)}h[/tex]
Right away, we see x and -x in the numerator, so we can drop those terms.
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}+h-\frac1{\sqrt x}}h[/tex]
Remember that limits distribute over sums, i.e.
[tex]\displaystyle\lim_{x\to c}(f(x)+g(x))=\lim_{x\to c}f(x)+\lim_{x\to c}g(x)[/tex]
so we can separate the h from everything else in the numerator:
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+\lim_{h\to0}\frac hh[/tex]
Since h ≠ 0, we have [tex]\frac hh=1[/tex], so the second limit is simply 1.
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+1[/tex]
For the remaining limit, focus on the numerator for now. Combine the fractions in the numerator:
[tex]\dfrac1{\sqrt{x+h}}-\dfrac1{\sqrt x}=\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}[/tex]
Recall the difference of squares identity,
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Let [tex]a=\sqrt x[/tex] and [tex]b=\sqrt{x+h}[/tex]. Multiply the numerator and denominator by [tex](a+b)[/tex], so that the numerator can be condensed using the identity above.
[tex]\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}\cdot\dfrac{\sqrt x+\sqrt{x+h}}{\sqrt x+\sqrt{x+h}}[/tex]
[tex]=\dfrac{(\sqrt x)^2-(\sqrt{x+h})^2}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]
[tex]=\dfrac{x-(x+h)}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]
[tex]=-\dfrac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]
Back to the limit: all this rewriting tells us that
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{-\frac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}}h+1[/tex]
Again, the h's cancel, and we can pull out the factor of -1 from the numerator and simplify the fraction:
[tex]f'(x)=\displaystyle-\lim_{h\to0}\frac1{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}+1[/tex]
The remaining expression is continuous at h = 0, so we can evaluate the limit by substituting directly:
[tex]f'(x)=-\dfrac1{\sqrt x\sqrt{x+0}(\sqrt x+\sqrt{x+0})}+1[/tex]
[tex]f'(x)=-\dfrac1{2x\sqrt x}+1[/tex]
or, if we write [tex]\sqrt x=x^{1/2}[/tex], we get
[tex]f'(x)=-\dfrac12x^{-3/2}+1[/tex]
Is this a function or not a function? (Picture)
I need help with this math question!!! Thank you in advance
Answer:
Pretty sure answer is D.
Step-by-step explanation:
Hope this helps!
Answer:
I believe it's A.
Step-by-step explanation:
If I'm not correct tell me.
Name the slope and one point that is on the line
represented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)
Answer: Choice A
m = undefined
point (-2,5)
==================================================
Explanation:
The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)
Another point on this line is (-2,5) since this also has x coordinate -2.
------------------
All vertical lines have undefined slope.
Let's pick two points such as (-2,0) and (-2,1) and find the slope through them
m = (y2-y1)/(x2-x1)
m = (1-0)/(-2-(-2))
m = (1-0)/(-2+2)
m = 1/0
m = undefined, since we cannot divide by zero.
Tell whether this figure creates the conditions to form a unique triangle, more than one triangle, or no triangle.
**Note: The arrows show that the lines will keep going until they meet.
GIVING BRAINLIEST
Answer:
They will make 1 triangle the lines will keep going until they meet
From the given triangle only one triangle can be made.
What is geometry?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the unformed triangle is given in the image.
The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.
To know more about geometry follow
https://brainly.com/question/29285656
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The second angle of a triangle is twice as large as the first angle. The third angle is 35 greater than the second angle. How large is the first angle?
Answer:
29°
Step-by-step explanation:
Let x represent the first angle. Then the second angle is 2x, and the third angle is 2x+35°. The sum of the angles is 180°, so we have ...
x + 2x + (2x+35) = 180
5x +35 = 180 . . . . collect terms
x +7 = 36 . . . . . . . divide by 5
x = 29 . . . . . . . . . . subtract 7
The first angle is 29°.
X-7y=10 and 2x+14y=21 is it parallel, perpendicular or neither and why
Answer:
Not perpendicular and not parallel.
Step-by-step explanation:
The equations are not perpendicular because the slopes of the two lines are not negative reciprocals.
The equations are not parallel because the slopes of the two lines are not equal.
kelly buys 3 video games that cost &18.95 each. she also buys 2 pairs of earbuds that cost $11.50 each. she has a coupon for $2 off the price of each video game. kelly uses a calculator to find that the total cost of the items is $77.85. the cashier tells her that the total cost is $73.85. who is correct?
Answer:
The Cashier
Step-by-step explanation:
First you take off $2.00 of every $18.95 of the game and you get $16.95 you add 16.95 three times and after that you add 11.50 twice and then the sum of both the earbuds and the video games and you add both together and you get $73.85
HELPPP PLEASE!!!! SHOW ALL WORK!!!
Answer:
x=54
Step-by-step explanation:
these two angles are supplementary to each other. this is because alternate interior angles are congruent, and 2x+42 degrees is supplementary to the alternate interior angle of x-24 degrees. so, we can add these two numbers up and set it equal to 180.
2x+42+x-24=180
3x+18=180
3x=162
x=54
if this question is asking for x, 54 is the answer. if it is asking for the angle measures, plug in 54 for x for each angle and solve.
Add 10 8/9+ 2 2/8+ 16 2/9+ 5 7/9=
Answer:
[tex]\frac{1265}{36}[/tex]
Step-by-step explanation:
[tex]10\frac{8}{9} + 2\frac{2}{8} + 16\frac{2}{9} + 5\frac{7}{9} = \frac{1265}{36}[/tex]I hope this helps!
34 × (-38) + (-38) × 66 find using suitable properties
Answer:
Step-by-step explanation:
-1292 + (-2508)
= - 3800
(3x - 15)° 0 + 25)
105°
Find the value of a
Ox=35
O x 40
O x = 60
* = 65
a) Isaac and his sister plan to surprise their parents by buying them each a pair of shoes.
They agree that Isaac will pay 68% of the price since he receives a greater
allowance. Use an estimation strategy to determine how much Isaac will pay if the
total bill is $97.65. Show the step-by-step process you used to solve the problem.
THIS IS WHAT I GOT EM I RIGHT OR WRONG !!
$97.65 x .68 = 66.402 (rounded)
Isaac will pay $66.40
Answer:
percentage formula
Step-by-step explanation:
if it is 68% on 97.65 dollar the 97.68x 68%/100
There are 785 people seated in a large cafeteria. Six people can sit at each table. How many tables are in the cafeteria?
2k-3/-5 >7 can anyone solve this for me
Answer:
k< -16
Step-by-step explanation:
Are f and g inverses of each other?
Answer:
The answer is: g ( x) and f ( x) are not inverses of each other.
Step-by-step explanation:
This is why you need to check both ways: sometimes there are fussy technical considerations, usually involving square roots, that force the composition not to work, because the domains and ranges of the two functions aren't compatible.
Hope this helps : )
What is 1/10 of 1 3.027
Answer:
1.3027
Step-by-step explanation:
TWO THIRDS OF A STUDENT ARE BOYS. HOW MANY BOYS ARE IN MRS. PATRICKS HOMEROOM. DRAW A MODEL OR EXPLAIN
Hope that this model helps!!
For adults who sailed on the Titanic on its fateful voyage, the odds ratio20 between gender (female, male) and survival (yes, no) was 11.4. a. What is wrong with the interpretation, "The probability of survival for females was 11.4 times that for males?" Give the correct interpretation. b. The odds of survival for females equaled 2.9. For each gender, find the proportion who survived. Find the value of RR in the interpretation, "The probability of survival for females was RR times that for males."
Need to evaluate 256 and fraction 1/4
Answer:
256fraction=1/4
256÷4=64
64 answer this fraction
How are you doing today, if no answer thats fine to.
Answer:
I am doing great!
Step-by-step explanation:
Answer:
hello im doing good
Step-by-step explanation:
what is 5 - 5???
idk what that is please help im crying
Answer:
it is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
5-5=?
?=5-5
?=0
PLS RATE BRAINIEST!
Two numbers, both greater than 23, have HCF 23 and LCM 644. The sum of the numbers is:
Answer: 253
Step-by-step explanation:
First, we have two numbers A and B.
We know that all numbers can be written as a product of prime numbers.
And the HCF of A and B is 23
Then we can write:
A = 23*a
B = 23*b
(remember that 23 is a prime number)
Where a and b are larger than 1.
Now we know that the least common multiple between them is 644.
Notice that the primes that conform a can not be the same as the ones for b, because in that case, the HCF would not be 23.
Now to find a and b we can compute:
644/23 = 28.
28 = a*b
Now let's write 28 as a product of prime numbers:
a*b = 28 = 4*7 = 2*2*7
Then we can define:
a = 2*2
b = 7.
Our two numbers are:
A = 23*2*2 = 92
B = 23*7 = 161
A + B = 92 + 161 = 253
The sum of the two numbers would be:
253
Assume the two numbers be [tex]x[/tex] and [tex]y[/tex]
Given that,
HCF of [tex]x[/tex] and [tex]y[/tex] = 23
so,
The numbers could be written as:
23[tex]x[/tex] and 23[tex]y[/tex]
We know that,
LCM of 23[tex]x[/tex] and 23[tex]y[/tex] = 644
We also know that,
LCM × HCF = The product of two numbers
∵ 644 × 23 = 23[tex]x[/tex] × 23[tex]y[/tex]
So, by solving them we get;
14812/529 = [tex]x[/tex] × [tex]y[/tex]
∵ [tex]x[/tex] × [tex]y[/tex] = 28
If we prime factorize 28, we get
28 = 2 × 2 × 7
This gives us,
[tex]x =[/tex]23 × 2 × 2 = 92
[tex]y =[/tex] 23 × 7 = 161
Thus, the sum of the two numbers = 92 + 161 = 253
Learn more about "HCF" here:
brainly.com/question/13070189
8.546 rounded to the nearest tenths?
Answer:
8.550
Step-by-step explanation:
This equation has one solution.
5(x - 1) + 3x = 7(x + 1)
What is the solution?
Answer:
x= 12
Step-by-step explanation:
I got it right on edge
Which equation is a function?
O A. X = -2
O B. Y= 2x – 9
O C. y² = x - 2
O D. x² + y² = 9
the answer is B -- no matter the x factor y should be single
What is the equation for the area of the parallelogram? 3x + x = 74 x + 3x + 74 3x • 74 = x x • 3x = 74
Answer:
x • 3x = 74
Step-by-step explanation:
Answer:
its D ;D
Step-by-step explanation: