Answer:
B, 3 8/9
Step-by-step explanation:
It all comes down to equivalent fractions.
2 1/3 as an improper fraction is 7/3.
1 5/9 as an improper fraction is 14/9. 1/3 = 3/9.
With that being said 7 x 3 = 21 resulting in 21/9.
14/9 + 21/9 = 35/9.
35/9 as a mixed fraction is 3 8/9.
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
Comparing teaching assistants (TAs). professor Holmes has two teaching assistant who grade homework for a Statistics 101 course. Professor Holmes gives each of the two teaching assistants a rubric (a clear scoring guide) for the TAs to use when they grade the assignments, Holmes gives each TA the same student's paper to grade and has TA grade the paper according to the rubric. Professor Holmes is doing this to try to guarantee the scores given by the TAs are
(a) not biased.
(b) predictive
(c) reliable.
(d) valid.
Professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.
What is reliable?Certain mistakes might never be corrected. It is also possible to later reverse an edit that fixed a mistake.
Wikipedia shouldn't be used as the sole source of information, for this reason.
The Signpost, non-article pages, articles, and non-English Wikipedias are all included in this.
In contrast to reference books, many items in the online encyclopedia are well-researched, reviewed for quality, and frequently kept up to date.
Nonetheless, even 20 years after its inception, the content of the encyclopedia can still be changed, sometimes almost imperceptibly.
Therefore, professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.
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If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of
getting exactly 6 heads?
The probability, to the nearest thousandth, of getting exactly 6 heads is 0.008
Probability is the likelihood or chance that an event will occur
Probability = Expected/Total
If a fair coin is tossed 7 times, the total outcome will be 2^7 = 128
The probability of getting exactly 6 heads is only 1 outcome, hence the expected will be 1.
Pr(exactly 6 heads) = 1/128 = 0.008 (to nearest thousandth)
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I am a number whose prime factors are all of the prime numbers between 6 and 15. No factor is repeated. What number am I?
Answer:
Question Answer
I am a number whose prime factors are all the prime numbers between 6 and 15 no factor is repeated what number am i? 1001
The number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
We have:
I am a number whose prime factors are all of the prime numbers between 6 and 15.
The prime number between 6 and 15:
As we know, the prime number is the number that is divisible by 1 and itself.
Prime number = {7, 11, 13}
= 7×11×13
= 1001
Thus, the number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.
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a) Write 5.1 x 10¹ as an ordinary number.
b) Work out the value of (1.7 x 10¹) × (8.5 × 10-²)
Give your answer in standard form.
On solving the provided question we can say that ordinary number the answer is 1.495 x 10^0
What is an ordinary number?An ordinary number, also known as a standard form number or a decimal number, is a number that is written in the familiar base-10 format, with a whole number part and a fractional part separated by a decimal point.
A) 5.1 x 10¹ as an ordinary number is 51.
B) To work out the value of (1.7 x 10¹) × (8.5 x 10-²), we first need to multiply the two numbers:
(1.7 x 10¹) × (8.5 x 10-²) = 1.7 x 8.5 x 10¹ x 10-² = 14.95 x 10-1
To express the answer in standard form, we need to move the decimal point to the left so that there is only one non-zero digit to the left of it. 14.95 x 10-1 is 1.495 x 10^0. So the answer is 1.495 x 10^0
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Which graph can be used to find the solution(s) to x ^ 2 - 1 = x + 1 ?
Step-by-step explanation:
Step 1 - Separate LHS and RHS of the given polynomial.
--- (1)
y = x + 1 --- (2)
Step 2 - Draw the graph of a line (y = x + 1) that passes through the points (-1,0) and (0,1).
Step 3 - Now, draw the graph of the equation (1). The shape of this graph is the upward parabola.
Step 4 - The two graphs intersect each other at (-1,0) and (2,3).
From the above steps, it can be concluded that the correct option is C).
8k + 4 - 11k + 9 show work please
Answer:
8+4−11+9
8+13−11
8+13−11
−3+13
^^^
Step-by-step explanation:
Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain
empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7
gallons of water. Three minutes later, the tank contains 5 gallons of water.
a. At what rate is the amount of water in the tank changing? Use a signed number,
and include the unit of measurement in your answer.
b. How many more minutes will it take for the tank to drain completely? Explain or
show your reasoning.
C. How many minutes before Jada arrived was the water tank completely full?
Explain or show your reasoning.
on a recent day, 8 dogs were worth $9 and 24 dogs worth $27. write a chart for the proportion and write an equation the for formulas y=kx
Answer: y=1.125x
Step-by-step explanation:
Shown is a circle, centre C, with diameter AE.
PQ is a tangent to the circle, meeting it at E.
A EDQ is isosceles with ED= EQ.
Given that / EAD = 50°, calculate the size
of Z DQE.
Answer:
∠DQE = 65°
Step-by-step explanation:
You want to know the measure of Angle DQE in the given figure.
Right triangleTriangle ADE is inscribed in a semicircle, so is a right triangle. That makes acute angle AED complementary to acute angle EAD. The latter is given as 50°, so ...
∠AED = 90° -50° = 40°
TangentWe know that tangent line QE is perpendicular to diameter AE, so angle AEQ is a right angle. Segment ED divides that right angle into complementary angles, so ...
∠DEA +∠DEQ = 90°
∠DEQ = 90° -∠DEA = 90° -40° = 50°
Isosceles triangleA.pex angle DEQ in isosceles triangle DEQ being 50° means that the base angles QDE and DQE will have measure ...
∠DQE = (180° -50°)/2 = 130°/2
∠DQE = 65°
__
Alternate solution
Let angles DQE and QDE be represented by x. Then the sum of angles in quadrilateral ADQE is 360°:
50° +(90+x)° +x° +90° = 360°
230° +2x = 360° . . . . . . simplify
x = 130°/2 = 65° . . . . . solve for x
Equation:-
\(x + 5 = 5 - 0 - 6 + 2\)
Solve for x..
Thanks
Answer:
\(\large { \boxed{\sf x = -4}\)
Explanation:
Original Expression:
\(\rightarrow \sf x + 5 = 5 - 0 - 6 + 2\)
Subtract '5' from both sides:
\(\sf \rightarrow x+5-5=5-0-6+2-5\)
Simplify the following:
\(\sf \rightarrow x=-0-6+2\)
Add/Subtract integers:
\(\sf \rightarrow x=-4\)
One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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I need help with the answer.
On a school field trip, there will be one adult for every 12 students. Which equation could be used to find “a”, the number of adults, if “s”, the number of students, is unknown?
a) a= 12s
b) a= 12/s
c) a= s/12
d) s + 12
please please please help!
Answer:
a) a = 12s
Step-by-step explaination:
What are the important variables in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
OA. p for points, m for multiple choice
OB. s for short answer, t for test
OC. m for multiple choice, s for short answer
OD. t for test, q for questions
The important variables are the two types of test questions which can be represented as :
m for multiple choice, s for short answerVariables are used to represent unknown values which could be worked out in a mathematical expression or problem.
The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer
Therefore, the correct option is C. m for multiple choice, s for short answer
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The temperature inside a cooling unit is measured in degrees Celsius, C. Josh wants to find out how cold it is in degrees Fahrenheit, F. Solve the formula C = (F-32) for F so that Josh can convert Celsius to Fahrenheit.
To convert Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32
Let C represent the degrees Celsius and F represent the degrees Fahrenheit.
The relationship between C and F is given as:
C = (F-32) × 5/9
Hence to convert Celsius to Fahrenheit, we make F the subject of formula:
C = (F-32) × 5/9
9C/5 = (F-32)
F = (9/5)C + 32
To convert Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32
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Answer:
Step-by-step explanation: This is one of the most common examples given in math textbooks, and it's useful to know if you ever travel outside the U.S., or if you are from outside the U.S. and travel here.
C = 5/9 (F - 32)
9C = 5(F - 32)
9/5 C = F - 32
9/5 C + 32 = F
F = 9/5 C + 32
What is the total square inches
Square Area = side x side = 3x3 = 9
Rectangle Area = side x side= 7x3= 21
9 + 21 = 30 square inches
Answer:
30 square inches
Step-by-step explanation:
\(\boxed{\text{\bf Area of rectangle = length *width}}\)
Rectangle1:
Area = 6 * 3
= 18 square inches
Rectangle2:
Area = 4 * 3
= 12 square inches
Area of the figure = area of rectangle1 + area of rectangle2
= 18 + 12
= 30 square inches
write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the function in standard form. -2,3,6
Answer:
A polynomial function f of least degree = f = x³ - 7x² + 36
The function in standard form = f = x³ - 7x² + 36
Step-by-step explanation:
As given, Leading coefficient of polynomial function = 1
Also given, zeroes of the function = -2, 3, 6
for root -2 : (x - (-2)) = (x + 2)
for root 3 : ( x - 3)
for root 6 : (x - 6)
Therefore, the polynomial function becomes -
f = 1(x+2)(x-3)(x-6)
⇒f = (x+2)(x² - 6x - 3x + 18)
⇒f = (x+2)(x² - 9x + 18)
⇒f = x³ - 9x² + 18x + 2x² - 18x + 36
⇒f = x³ - 7x² + 36
The polynomial function in standard form is \(f(x) = x^3 - 8x^2 +9x +18\)
The zeros of the polynomial are given as:
\(Zeroes = -2,3,6\)
Rewrite as:
\(x= -2,3,6\)
Express the zeroes as an equation
\(x= -2\), \(x =3\) and \(x =6\)
Equate to 0
\(x + 2 = 0\), \(x -3 = 0\) and \(x -6 = 0\)
Multiply the equations
\((x + 1) \times (x - 3) \times (x - 6) = 0 \times 0 \times 0\)
\((x + 1) \times (x - 3) \times (x - 6) = 0\)
Expand
\((x^2 - 3x + x - 3) \times (x - 6) = 0\)
\((x^2 - 2x - 3) \times (x - 6) = 0\)
Expand
\(x^3 - 2x^2 - 3x -6x^2 +12x +18 = 0\)
Collect like terms
\(x^3 - 2x^2 -6x^2 - 3x +12x +18 = 0\)
\(x^3 - 8x^2 +9x +18 = 0\)
Express as a function
\(f(x) = x^3 - 8x^2 +9x +18\)
Hence, the function in standard form is \(f(x) = x^3 - 8x^2 +9x +18\)
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What is the sin B?
/21
B
5
2
sin (B) =
[?]
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)
Find The value of each variable
The value of each variable is:
x = 11 units
y = 11√2 units
How to find the value of each variable?Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.
We can find the value of each variable using trigonometric ratios:
tan 45° = x/11 (tan = opposite/adjacent)
1 = x/11
x = 11 units
sin 45° = 9/y (sine = opposite/hypotenuse)
(√2)/2 = 11/y
y = 11/ (√2)/2
y = 11√2 units
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7x2 + 4x - x2 whats the answer?!?
Answer:
14 + 2x I think
Step-by-step explanation:
Wait for more responses if needed
Answer:
\( {6x}^{2} + 4x\)
Step-by-step explanation:
1) Collect like terms.
\((7 {x}^{2} - {x}^{2} ) + 4x\)
2) Simplify.
\( {6x}^{2} + 4x\)
Therefor, the answer is 6x² + 4x.
Matthew is saving money for a pet turtle the data in the table represents the total amount of money in dollars that he saved by the end of each week.
The size of a population is modeled by the function P that satisfies the logistic differential equation dP/dt=(1/10)P - (1/5000)P^2 , where t is measured in months and P (0) = 50. What is the size of the population at the moment when the population is growing most rapidly? A. 50 B. 250 C.500 D. 2500
The correct answer is A.
500 is the size of the population at the moment of maximum growth.
Given data:
To find the size of the population at the moment when the population is growing most rapidly, we need to determine the maximum value of the derivative dP/dt.
Given the logistic differential equation \(\frac{dP}{dt} = (\frac{1}{10})P - (\frac{1}{5000})P^2\), find the derivative by taking the derivative of each term separately:
\(\frac{dP}{dt} = (\frac{1}{10})P - (\frac{1}{5000})P^2\)
To find the critical points where the derivative is zero or undefined, set dP/dt equal to zero:
\((\frac{1}{10})P - (\frac{1}{5000})P^2=0\)
Simplifying:
\((\frac{1}{10})P= (\frac{1}{5000})P^2\)
\(10P^2=5000P\)
Dividing both sides by P and rearranging:
\(10P(P-500)=0\)
This equation has two solutions: P = 0 and P = 500.
To determine which solution corresponds to the moment when the population is growing most rapidly, examine the second derivative. Taking the second derivative of the logistic differential equation, we have:
\(\frac{d^2P}{dt^2} = \frac{1}{10} - \frac{2}{5000}P\)
Evaluating the second derivative at P = 0 and P = 500, we get:
\(\frac{d^2P}{dt^2}_{P=0} = \frac{1}{10} - \frac{2}{5000}(0)\)
\(\frac{d^2P}{dt^2}_{P=0}= \frac{1}{10} > 0\)
\(\frac{d^2P}{dt^2}_{P=500} = \frac{1}{10} - \frac{2}{5000}(500)\)
\(\frac{d^2P}{dt^2}_{P=0}= -\frac{1}{10} < 0\)
Since the second derivative is positive at P = 0 and negative at P = 500, the moment when the population is growing most rapidly occurs at P = 500.
Hence, the size of the population at the moment when the population is growing most rapidly is 500.
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Question 6 of 10
A line of best fit was drawn for 6 data points. What is the maximum number
of these data points that may not actually be on the line?
OA. 6
B. 3
O C. 4
OD. 5
SUBMIT
Evaluate the function f(x) = -212-3x + 5 for the input value-3.
Answer:
f(-3)=-198
Step-by-step explanation:
Function: f(x) = -212-3x + 5
x=-3
First substitute -3 for x:
f(-3)=-212-3(-3)+5
Next multiply -3 by -3:
-3*-3=9
f(-3)=-212+9+5
-212+9=-203
f(-3)=-203+5
-203+5=-198
f(-3)=-198
I hope this helped you.
Please mark Brainliest.
Have a great day!!!!!!!!!!!!!!!!!!!!
5
0000
The value of x is:
3
m_ii હું
15
CN
y
X
Hello :
3/8 = x/(15 + x)
⇔ 3(15 + x)/8 = x
⇔ (45 + 3x)/8 = x
⇔ 45 + 3x = 8x
⇔ 8x - 3x = 45
⇔ 5x = 45
⇔ x = 45/5
⇔ x = 9
Consider the line y = 7x-1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Hi, there!
______
\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)
How are the slopes of parallel lines related to each other?How are the slopes of perpendicular lines related to each other?(1)
- The slopes of parallel lines are identical.
{The line \(\sf{y=7x-1}\) has a slope of 7}
Thus,
{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}
(2)
- The slopes of perpendicular lines are negative inverses of each other.
The negative inverse of 7 is
\(-\dfrac{1}{7}\).
Therefore,
\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)
Hope the answer - and explanation - made sense,
happy studying!! \(\tiny\boldsymbol{Frozen \ melody}\)
Part A (4 pt): Fill in the missing steps to solve the
Inequality. x+2 +428
-4-4
1/4
1 x+2
-2
2 ≤
1
-X <
- 2
(0) --
x ≤
-X <
√x+2 2.
- 2
1x ≥ 2
=
>
-2
(0) ²½ × ≥ ²
> 2
x 2
Part B (2 pt): Draw the solution to the equation
on the number line provided. (Remember to
include your open/closed dots)
++++
-24-20-16-12 -8 -4
0 4
+
8 12 16 20 24
The answers are:
Part A: The two values of x are: x > 8 or x < -24
Part B: Closed circles at -24 as well as 8 on the number line.
How to solve inequalities?Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.
The following steps are missing for the inequalities:
Solving the inequalities,
Part A:
|1/4x+2|+4 >= 8
|1/4x+2|>=4
Now when we remove the sign fom the inequality, there would be 2 values:
(1/4) x + 2 > 4 or (1/4) x + 2 < -4
Now subtracting 2 from both side:
\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)
Divide both the sides by 4:
4(1/4) x > 4(2) or 4(1/4) x < 4(-6)
Now we get two values of x:
x > 8 or x < -24
Part B:
Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.
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Andrea puts 100 g weight on a pan balance how many 10 g weights does she need to balance the scale?
answer:
10
step-by-step explanation:
easy: 100 ÷ 10 = 10. you need 10
explanation: you need 100 (on the left side) to equal the right side. each weight on the right side weighs 10, but you don't know how many you need. use x for the unknown amount. now, you have:
100 = 10x. solve by dividing each side by 10.
10 = x. verify by doing 10 x 10 = 100
Which equation represents h(x)?
The table shows three functions and their output values
for different values of x.
0 h(x) =
g(x)
х
1
2
3
3
9
27
g(x)
18
21
24
h(x)
15
12
-3
O h(x) = 0
Oh(x) = f(x) - g(x)
Oh(x) = g(x) – f(x)
Answer: -01
Step-by-step explanation:
The correct equation for represents h (x) is,
⇒ h (x) = g (x) - h (x)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The table shows three functions and their output values for different values of x.
Now, By the table;
f (x) = 3
g (x) = 18
h (x) = 15
Hence, We can formulate;
g (x) - f (x) = 18 - 3
= 15
= h (x)
Thus, The correct equation for represents h (x) is,
⇒ h (x) = g (x) - h (x)
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Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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