Answer:
1/5%,20%,1,200
Step-by-step explanation:
The percents are less than 1.
a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
square root of -3 times square root of 12what is the answerJust have to simplify the expression. The exercise provides it in numerical form.
Given the expression:
\(\sqrt[]{-3}\cdot\sqrt[]{12}\)You need to remember the following property:
\(\sqrt[n]{b^{}}\cdot\sqrt[n]{a}=\sqrt[n]{ba}\)Where "n" is the index of the root and "b" and "a" are Radicands.
Then, since the roots given in the exercise are the same, you can multiply the Radicands:
\(=\sqrt[]{(-3)(12)}=\sqrt[]{-36}\)Notice that the number inside the square root is negative. Then, you need to remember the following:
\(\sqrt[]{-1}=i\)Therefore, in order to simplify it, you need to take the square root of 36 and write the Imaginary Unit "i" next to it:
\(=6i\)Hence, the answer is:
\(=6i\)-) Aspirin has a half-life of 6 hours in the blood stream. If a person takes 625mg, how long will it take for there to be 150mg left in the bloodstream?
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
We have,
To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.
The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.
Let's calculate the number of half-lives required to reach 150mg:
Initial amount of aspirin = 625mg
Final amount of aspirin = 150mg
625mg / 150mg = 4.17
This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.
Since each half-life is 6 hours, we can calculate the total time it will take:
Total time = Number of half-lives * Half-life duration
Total time = 4.17 x 6 hours
Total time ≈ 25 hours and 1 minute
Therefore,
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
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What is the volume of this figure?
Answer: 186 cubic in
Step-by-step explanation:
Use the table to work out the values of a, b, c, and d.
C
y
- 3x
5
-3
a
-2
1
1
b.
0
-5
с
2
d
a =
Answer:
a
Step-by-step explanation:
3. There are five different tables in the class and five students. Each table can be occupied by only onestudent. Their
studying year consists of 200 days. As a small prank on their teacher students would like to sit in a new way every
day, so there are no two days during their studying year such that all students are occupying the same tables.
They would like to see whether this is possible. How many ways are there for them to sit in the class?
There are 3,125 different places to sit if they don't mind sharing s desk sometimes and there are 120 different places to sit, if they all sit on separate tables.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that there are five different tables in the class and five students
Each table can be occupied by only one student
There are 200 days of studying years.
As a small prank on their teacher students would like to sit in a new way every day, so there are no two days during their studying year such that all students are occupying the same tables.
5×4×3×2×1 = 120
There are 120 different places to sit, if they all sit on separate tables.
5×5×5×5×5 = 3,125
There are 3,125 different places to sit if they don't mind sharing s desk sometimes.
Hence, there are 120 different places to sit, if they all sit on separate tables and there are 3,125 different places to sit if they don't mind sharing s desk sometimes.
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It is hypothesized that the total sales of a corporation should vary more in an industry with active price competition than in one with duopoly and tacit collusion. In a study of the merchant ship production industry it was found that in 4 years of active price competition, the variance of company A’s total sales was 114.09. In the following 7 years, during which there was duopoly and tacit collusion, this variance was 16.08. Assume that the data can be regarded as independent random sample from two normal distributions. Test at the 5% level the null hypothesis that the two population variances are equal against the alternative that the variance of total sales is higher in years of active price competition.
Since the calculated F-value of 7.098 is greater than the critical value of 5.79, we reject the null hypothesis and conclude that the population variance of total sales during active price competition is higher than during duopoly and tacit collusion at the 5% level of significance.
How can we explain the above?For the above issue, the null and alternate hypotheses are as follows:
The population variations of total sales under duopoly, active price competition, and tacit cooperation are all identical.
In contrast to duopoly and implicit collusion, total sales population variance is larger under active price competition.
To test the null hypothesis, we must use a two-tailed F- test with a 5 % threshold of significance. The ratio of the sample variances is used to determine the F- statistic.
F = s1² / s2²
Where:
s1² - Sample Variance (Active price competition)
s2² - SAmple variance (Duopoy and Tacit collusion)
Since n1-1 = 3
and n2-1 = 6
F = 114.09 / 16.08
F = 7.098
Having derived same, we know that the critical values of F for a two-tailed test with 3 and 6 degrees of freedom at 5% level of significance are:
Critical Value (3) = 5.14
Critical Value (6) = 5.79
Therefore, since the F-value > Critical Value in both cases, we must reject the null hypothesis.
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What is the slope of y = log(x) when x=20 ?
The formula for the slope is _________ for h close to 0 (but not equal )
The best estimate for the slope is____
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
The formula for slope according to first principle is :
\( \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{f(x + h) - f(x)}{h} \]\)
\( \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log(x + h) - log(x)}{h} \]\)
\( \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{x + h}{x} ) }{h} \]\)
\( \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{h} \]\)
\( \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times x} \]\)
\( \qquad \sf \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{1}{x} \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times log_{e}(10) } \] \bigg)\)
\( \qquad \sf \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } \displaystyle\lim_{x\to0} \: \: \sf \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} } \] \bigg)\)
\( \qquad \sf \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } \)
Now, the best estimate of slope is at x = 20 :
\( \qquad \sf \dashrightarrow \: \[ \dfrac{1}{20\times 2.303} \)
\( \qquad \sf \dashrightarrow \: \[ \dfrac{1}{46.06} \)
\( \qquad \sf \dashrightarrow \: \approx0.0217\)
Which graph represents-5x+4y≥-1?
Answer:
D!
Step-by-step explanation:
Desmos has a free graphing calculator for future references :)
Identify the type of correlation you would expect to see between the pair of data sets. Explain.
The number of members in a family and the cost of the family's traveling tickets. *
(2 Points)
i cant see anything but dashes..
Bennett created the table below. Which
operation did he perform on the numbers
in the left column to find the numbers in the
right column?
F Add 8.
G Add 9.
X
1
2
3
4
5
6
y
9
10
11
12
13
14
H
Multiply by 8.
J Multiply by 9.
Step-by-step explanation:
He added 8 to each number on the left column to get the number on the right column
So that
X 1, 2, 3, 4, 5, 6,
Y 1+8 = 9
Y 2 + 8 = 10
Y 3+8 = 11
Y 4 + 8 = 12
Y 5 + 8 = 13
Y 6 + 8 = 14
Given just the graph what 3 steps are required to write the equation of a line?
Answer:
Step-by-step explanation:
step 1:
determining the values for standard form for the equation of a line,
y = mx + c
Step 2:
calculation of m, where m is the gradient or slope which determines how steep the line is.
step 3:
calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept
HELP TIMED BRAINLIST QUICK
Answer:
12 x^9 + 15 x^8 - 8 x^6 - 10 x^5 = A.) is the answer
Step-by-step explanation:
Expand the following:
x^4 (3 x^3 - 2) (4 x^2 + 5 x)
Hint: | Multiply 3 x^3 - 2 and 4 x^2 + 5 x together using FOIL.
(3 x^3 - 2) (4 x^2 + 5 x) = (3 x^3) (4 x^2) + (3 x^3) (5 x) + (-2) (4 x^2) + (-2) (5 x) = 12 x^5 + 15 x^4 - 8 x^2 - 10 x = 12 x^5 + 15 x^4 - 8 x^2 - 10 x:
x^4 12 x^5 + 15 x^4 - 8 x^2 - 10 x
Hint: | Distribute x^4 over 12 x^5 + 15 x^4 - 8 x^2 - 10 x.
x^4 (12 x^5 + 15 x^4 - 8 x^2 - 10 x) = x^4 (12 x^5) + x^4 (15 x^4) + x^4 (-8 x^2) + x^4 (-10 x):
12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 - 10 x^4 x
Hint: | Combine products of like terms.
x^4 (-10) x = x^(4 + 1) (-10):
12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 + -10 x^5
Hint: | Evaluate 4 + 1.
4 + 1 = 5:
12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 - 10 x^5
Hint: | Combine products of like terms.
x^4 (-8) x^2 = x^(4 + 2) (-8):
12 x^4 x^5 + 15 x^4 x^4 + -8 x^6 - 10 x^5
Hint: | Evaluate 4 + 2.
4 + 2 = 6:
12 x^4 x^5 + 15 x^4 x^4 - 8 x^6 - 10 x^5
Hint: | Combine products of like terms.
x^4×15 x^4 = 15 x^8:
12 x^4 x^5 + 15 x^8 - 8 x^6 - 10 x^5
Hint: | Combine products of like terms.
x^4×12 x^5 = x^(4 + 5)×12:
12 x^9 + 15 x^8 - 8 x^6 - 10 x^5
Hint: | Evaluate 4 + 5.
4 + 5 = 9:
Answer: 12 x^9 + 15 x^8 - 8 x^6 - 10 x^5
Answer:
The answer is the the first one
Based on the type of equations in the system, what is the greatest possible number of solutions? StartLayout Enlarged left-brace 1st Row x squared + y squared = 9 2nd row 9 x + 2 y = 16 EndLayout
Answer:
2
Step-by-step explanation:
Given the system of equations:
[Tex]x^2+y^2=9\\9x+2y=16\)
Comparing [Tex]x^2+y^2=9\) with the general standard equation of a circle [Tex](x-h)^2+(y-k)^2=r^2\).
The first equation is an equation of a circle centred at (0,0) with a Radius of 3.
The second equation 9x+2y=16 is a straight line equation.
A straight line can only intersect a circle at a maximum of 2 points.
Therefore the greatest possible number of solutions to the equations in the system is 2.
Answer:
2
Step-by-step explanation:
and jj is gay of outer banks
Randall is purchasing a home priced at 220,000he agrees on 4.7% intrest over 20 years and the bank tells him that’s after his down payment his monthly payment will be 1280.93 what will Randall payment be over lifetime of mortgage
9514 1404 393
Answer:
307,423.20
Step-by-step explanation:
Randall's total of monthly payments is ...
(1280.93/mo)(240 mo) = 307,423.20
Which expression is equivalent to 1/4(20z+24)?
Answer:
-5z-6Step-by-step explanation:
-1/4 x 20z = -5z
24 x -1/4 = -6
So we have -5z-6. So the expression equivalent to 1/4(20z+24) is -5z-6.
If there are 12 inches in a foot, how many inches are in 64 feet?
Answer:
768
Step-by-step explanation:
64*12
Answer:
768
Step-by-step explanation:
12x64=768
An expression of the fifth degree is written with a leading coefficient of seven and a constant of six. Which expression is correctly written for these conditionsGroup of answer choices65+4+7 76−64+5 67−5+5 75+2+6
Given an expression of the fifth degree is written with a leading coefficient of seven and a constant of six
To Determine: Correct expression for the given polynomial
Solution:
Note that:
(i) The fifth degree means that the highest power of the polynomials is 5
i.e.
\(x^5\)(ii) The leading coefficient is the coefficient of the highest power of the polynomial, which is the cofficient of the fifth degree. i.e.
\(7x^5\)(iii) The constant is the coefficient of the variable with the power of 0. so we have
\(\begin{gathered} 6x^0 \\ x^0=1 \\ 6x^0=6\times1=6 \end{gathered}\)So, it should be known that the given polynomials must have the 7x⁵ as the first term and must have 6 as the last term
From the options provided, it can be concluded that the correct expression for the given condition is 7x⁵+2x+6
Kylie worked as an official for 45 soccer games last year. She made a graph of the number of games she worked during the first 6 months during the first 6 months of the year. How many more games did Kylie work during the first six months as shown on the graph than she did during the rest of the year?
Answer:
11 More Games.
(I did the quiz too)
Answer:
11
Step-by-step explanation:
I did this on my map test, it's right
I need help with geometry! I need to find x and y, please help asp
Check the picture below.
U is the midpoint of TV. If TU = 2x and UV = x + 9, what is TU?
A road is 8/9 of a mile long. A crew needs to repave 2/5 of the road. How long is the section that needs to be repaved?
Brainliest for answer
Answer:
the answer would be the letter A
PLSS HELP IMMEDIATELY
The continuous compounding rate earned by the investment is given as follows:
8.022%.
How to model continuous compounding?The balance of an account after t years, using continuous compounding, is modeled by the equation presented as follows:
A(t) = A(0)e^{kt}.
In which:
A(0) is the initial amount.k is the continuous compounding rates.For this problem, the parameters are given as follows:
A(11) = 58, A(0) = 24, t = 11.
Hence the rate is obtained as follows:
24e^(11k) = 58
e^(11k) = 58/24
11k = ln(58/24)
k = ln(58/24)/11
k = 8.022%.
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Natalie is a real estate agent and earns a 3% commission on all homes she sells. She estimates that she will earn $8,250 on the next house she sells. She actually earns $9,210. What was Natalie’s estimate for the selling price of the home? What was the actual selling price of the home?
Using the percentage principle, the estimated and actual sale price of the Home are $275, 000 and $307,000 respectively.
Commission on sale = 3%Estimated commison = $8250
Let Estimated sale price = P
3% × P = 8250
0.03p = 8250
p = 8250 / 3
p = $275000
Actual commission earned = $9210
Let Actual sale price = P
3% × P = 9210
0.03p = 9210
p = 9210 / 3
p = $307,000
Therefore, the estimated and actual sale price are $275,000 and $307,000 respectively.
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One yoga class costs $8, and a monthly pass costs $48. Write an inequality thatrepresents how many classes you can buy before it is cheaper to buy the monthly pass. Isit cheaper to pay by the class for 10 classes? Explain.
One yoga class: $8
Monthly pass: $48
Let represent the number of yoga classes with the variable "x".
So:
8x = total cost of "x" yoga classes
8x < 48
x<48/8
x<6
You can buy 6 classes before it's cheaper to buy the monthly pass.
Is it cheaper to pay by the class for 10 classes?
Replace x=10, in 8x
8(10)=80
80 >48
NO, it's not cheaper to pay by the class for 10 classes.
What is the surface area of the cylinder with height 8 yd and radius 8 yd? Round youranswer to the nearest thousandth.
Given: a cyliner with height 8 yd and radius 8yd.
Find: the surface area of the cylinder
Explanation:we know that the surfafe area of cylinder is
\(2\pi r(h+r)\)here we have
\(r=8,h=8\)on putting we get,
\(\begin{gathered} 2\text{ }\pi(8)(8+8) \\ =2\pi8\times16 \\ =2\times3.14\times8\times16 \\ =803.84yd^2 \end{gathered}\)Final answer: the required surface area of cylinder is 803.84 square yd
find the perimeter of the composite figure. 11 19.5 16 m 18m
The perimeter of the composite figure that is given above would be = 96.6m.
How to calculate the perimeter of the given figure?To calculate the perimeter of the given shape, it has to be divided into two.
First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)
Where ;
length = 16m
width = 11m
perimeter = 2(16+11)
= 2×27
= 54m
The second shape:
Perimeter of triangle = l+w+h
where;
length = 18-11 = 7m
width = 16m
height = 19.5m
perimeter = 7+16+19.5 = 42.5m
Therefore, the perimeter of the shape = 54+42.5 = 96.6m
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Find the value of each expression.
2 + 3 • 4
(2 + 3)(4)
2﹣3 • 4
2﹣(3 + 4)
2﹣3﹣4
Answer:
1) 2+3*4= 14
2) (2+3)(4)= 20
3) -10
4) -5
5) -5
Step-by-step explanation:
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.