if tyrone works 40 hours per week and has no other sources of income what is his total monthly cash inflow
Which of the following is a monomial?
A. 2xyz2
B. 2x + yz
C. 2 + xyz
D. 2x − yz
How do I solve this equation for n? (6x2n)÷8=15
To solve the equation (6x2n)÷8=15 for n, you must perform algebraic operations to isolate n. This involves multiplying by 8, then dividing by 6x, and finally by 2, to arrive at n = 20 / x.
To solve the equation (6x2n)÷8=15 for n, we need to follow several steps. This involves manipulating the equation using algebraic operations until we isolate the variable n on one side. Here is the step-by-step process:
Multiply both sides of the equation by 8 to get rid of the fraction: 6x2n = 15 × 8.Simplify the right side: 6x2n = 120.Divide both sides by 6x to isolate n: 2n = 120 / 6x.Further simplify the right side to get n on its own: n = (120 / 6x) / 2.Complete the calculation based on the values of x that are given: n = 20 / x.If x is known, you can substitute the value of x into the equation to find the value of n. If x is not given, then this is the simplified form of the equation in terms of n and x.
Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7? subtracting from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant
Answer:
C
Step-by-step explanation:
Simplify the rational expression. State any restrictions on the variable n^4-11n^2+30/ n^4-7n^2+10
The given rational expression simplifies to (n^2 - 6)/(n^2 - 2). However, n cannot be equal to ±√2 and ±√5. These are the values that would make the denominator of the original or simplified expression equal to 0.
Explanation:To simplify the given rational expression we must first factor both the numerator and the denominator. The expression is n^4 - 11n^2 + 30/ n^4 - 7n^2 + 10. We recognize this is a quadratic in terms of n^2. Hence, the numerator factors into (n^2 - 6)(n^2 - 5), and the denominator factors into (n^2 - 5)(n^2 - 2).
The simplified version of the expression is (n^2 - 6)/(n^2 - 2) but we need to take into account the restrictions for n which are that n cannot be equal to ±√2 and ±√5. These are the values that would make the denominator of the original or simplified expression equal to 0, thus undefined.
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The rational expression [tex](n^4 - 11n^2 + 30)/(n^4 - 7n^2 + 10)[/tex] simplifies to [tex](n^2 - 6)/(n^2 - 2)[/tex], with restrictions on n being ±√5 and ±√2 since these values would cause the original denominator to be zero.
To simplify the rational expression [tex]n^4 - 11n^2 + 30[/tex] divided by [tex]n^4 - 7n^2 + 10[/tex], we start by factoring both the numerator and the denominator.
Factor the numerator:
→ [tex]n^4 - 11n^2 + 30 = (n^2 - 5)(n^2 - 6)[/tex]
Factor the denominator:
→ [tex]n^4 - 7n^2 + 10 = (n^2 - 5)(n^2 - 2)[/tex]
After factoring, we can eliminate common terms.
The term ([tex]n^2 - 5[/tex]) is present in both the numerator and the denominator and can be cancelled out.
The simplified expression is [tex](n^2 - 6)/(n^2 - 2)[/tex].
We also need to state restrictions on the variable n. These restrictions come from the values that make any denominator zero, which are not allowed.
For the initial fraction, the restrictions are the values of n that make [tex]n^2 - 5[/tex] or [tex]n^2 - 2[/tex] equal to 0. Thus, n cannot be ±√5 or ±√2.
2x+5y=-6 , wht is the x intercept, what is the y intercept
The x-intercept is (-3,0) and the y-intercept is (0,-6/5).
Explanation:The x-intercept is the point where the line crosses the x-axis. To find the x-intercept, we set y=0 and solve for x. In the equation 2x+5y=-6, we substitute 0 for y and solve for x:
2x + 5(0) = -6
2x = -6
x = -3
So, the x-intercept is the point (-3,0).
The y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we set x=0 and solve for y. In the equation 2x+5y=-6, we substitute 0 for x and solve for y:
2(0) + 5y = -6
5y = -6
y = -6/5
So, the y-intercept is the point (0,-6/5).
Answer and how you get then answer
A triangle has sides with lengths of 6 millimeters, 8 millimeters, and 10 millimeters. Is it a right triangle?
The sides 6 mm, 8 mm and 10 mm forms a right angles triangle.
We have,
The sides of the triangle are of lengths 6 mm, 8 mm and 10 mm.
The longest side length is 10 mm.
Now, the sum of squares of the smaller sides is given as:
6² + 8² = 36 + 64 = 100 = 10²
As, the sum of squares of the smaller sides is equal to the square of the longer side.
So, by the Pythagorean Theorem, the sides form a right triangle.
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A candy maker buys a bar of chocolate weighing 162 ounces. About how many pounds does the bar weigh?
$8000 invested at an APR of 6% for 10 years.
If interest is compounded annually, what is the amount of money after 10 years?
The formula in finding the maturity value is the following:
A = P (1 + r) ^t
Where A = Maturity value
P = principal amount
r = Annual percentage rate
t = time in years
Substituting the given amount to the formula:
A = $8,000 (1 + 6%) ^10
= $8,000 (1.7908)
= $14,326.40
Therefore, the amount of $8,000 after 10 years compounded annually at 6% is $14,326.40
Melissa had a balance of $104 in her checking account at the beginning of the month. She made one additional deposi of $216 and wrote checks $78 , $119 , and $105. What was the balance in her checking account at end of the month
Answer:
She only had $18 left
Step-by-step explanation:
Use the data to create a scatter plot. Year 0 1 2 3 4 Population 3 4 6 11 15 Use the point tool to plot the points from the table in the coordinate grid to create a scatter plot.
Answer:
Refer the attached figure.
Step-by-step explanation:
Given : Data of population
To find : Use the data to create a scatter plot?
Solution :
Data :
Year(x) Population(y)
0 3
1 4
2 6
3 11
4 15
A Scatter Plot has points that show the relationship between two sets of data.
With the help of scatter plot graph,
We plot the points of the data.
Refer the attached figure below.
Which terms accurately classify this triangle? Choose exactly two answers that are correct. A. right B. acute C. isosceles D. scalene
solve the proportion
[tex] \frac{3}{4} = \frac{x}{6} [/tex]
What is the factored form of x2 - 4x - 5 ?
Jim goes to the store and buy 6 apples for 25 cent each and 10 bananas for 10 cent each Jim has a 10% off coupon Jim will own the store $2. 25 truє σr fαlѕє
Please explain how you worked the problem to find x!
1/x +1/(x+4) =1/5
In a circle with a radius of 36 3/5 cm, an arc is intercepted by a central angle of 2π7 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
cm
Answer:
The arc length is [tex]32.84\ cm[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=36\frac{3}{5}\ cm=\frac{36*5+3}{5}=\frac{183}{5}\ cm[/tex]
substitute
[tex]C=2(3.14)(\frac{183}{5})=229.848\ cm[/tex]
Remember that
[tex]2\pi[/tex] radians subtends the complete circle of length [tex]229.848\ cm[/tex]
so
by proportion
Find the arc length by a central angle of [tex]2\pi/7[/tex] radians
[tex]\frac{229.848}{2\pi}=\frac{x}{2\pi/7}\\ \\x=229.848*(2\pi/7)/(2\pi)\\ \\x=`32.84\ cm[/tex]
The arc length is approximately 32.81 cm.
Step 1
To find the arc length intercepted by a central angle, we can use the formula:
[tex]\[ \text{Arc Length} = \text{radius} \times \text{central angle} \][/tex]
Given:
- Radius [tex](\( r \)[/tex]) = 36 3/5 cm
- Central angle [tex](\( \theta \)) = \( \frac{2\pi}{7} \)[/tex] radians
First, let's convert the radius to a decimal:
[tex]\[ \text{Radius} = 36 \frac{3}{5} \text{ cm} = 36.6 \text{ cm} \][/tex]
Step 2
Now, we can use the formula to find the arc length:
[tex]\[ \text{Arc Length} = 36.6 \times \frac{2\pi}{7} \]\[ \text{Arc Length} = 36.6 \times \frac{2 \times 3.14}{7} \]\[ \text{Arc Length} = 36.6 \times \frac{6.28}{7} \]\[ \text{Arc Length} = 36.6 \times 0.897 \]\[ \text{Arc Length} \approx 32.808 \][/tex]
Rounded to the nearest hundredth, the arc length is approximately 32.81 cm.
Find the values of a b and c for which the quadratic equation ax^2+bx+c=0 has the solutions -3 and 1
116=0.0625. Which calculation is NOT a way to find 1516?
Answer: 16 divided by 15
Step-by-step explanation:
I got it right.
Charlie reads quickly. He reads 1 and 3 seventh pages every 2 third minutes. Charlie reads at a constant rate. How many pages does charlie read per minute?
What is the constant term in the expression 4x3y + 8x2 + 6x + 5?
Answer:
5
Step-by-step explanation:
The constant term is the one with no variables in it: +5.
Answer:
i took the test and its 5.
1) Which two lines are parallel?
I. 5y = -3x-5
II. 5y = -1 - 3x
III. 3y - 2x = -1
a. I. and II.
b. I. and III.
c. II. and III.
d. No two of the lines are parallel.
2) Which do lines are parallel?
I. 3y = -2x - 3
II. 3y = 1 - 2x
III. 4y - 3x = -1
a. I. and II.
c. II. and III.
b. I. and III.
d. No two of the lines are parallel.
An equilateral triangle has a height of 26 cm. what is the length of each side of the triangle
Answer:
30.0 cm
Step-by-step explanation:
You want the side length of an equilateral triangle with a height of 26 cm.
Equilateral triangleThe altitude of the triangle divides it into two congruent 30°-60°-90° right triangles. The longer leg is the height: 26 cm. The hypotenuse is the longest of the three sides, which have the ratios ...
1 : √3 : 2
That is, the side of the equilateral triangle is 2/√3 times the altitude.
[tex]s = \dfrac{2}{\sqrt{3}}h = \dfrac{2(26\text{ cm})}{\sqrt{3}}\approx\boxed{30.0\text{ cm}}[/tex]
The length of each side is about 30.0 cm.
__
Additional comment
The side length is an irrational number of cm, approximately 30.022213997.... It rounds to 30.
15% of the toddlers in a preschool class drink water with their lunch. How many toddlers
are in the class if 3 toddlers drink water with their lunch?
(a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table
model, that’s fine too!) and label the “part,” “whole,” and “percent.”
how many time does 2 go into 19
In basic division, 2 goes into 19 a total of 9 times with 1 leftover. This demonstrates division and the concept of remainders in mathematics.
Explanation:The student is asking about basic division in mathematics, specifically how many times 2 goes into 19. To find this, we divide 19 by 2.
Doing the division, we get:
19 divided by 2 equals 9 with a remainder of 1.Therefore, 2 goes into 19 9 times with 1 left over.
It's worth noting that there's also a mathematics technique called estimation that might be considered here. If we estimate to the nearest whole number, 2 would go into 19 approximately 9 times since 2 times 9 is 18, which is very close to 19.
Analyze the following budget, with an income of $750, to determine how much can be spent on food for the month. Month________ Budgeted Amount Food $___ Personal Items $20 Cell Phone $75 Entertainment $85 Car Expenses – Gas, Insurance $260 College Savings $250 a. No more than $70 can be spent on food. b. No more than $75 can be spent on food. c. No more than $80 can be spent on food. d. No more than $60 can be spent on food.
A monthly of $60 can be spent for food after all the expenses and savings
are sorted.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The numerical form of the given information can be formed as,
$(750 - 20 - 75 - 85 - 260 - 25).
= $60.
So, With an income of $750 and all the expenses including saving for for college worth of $250 the amount that can be spent on food is $60.
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5) If f(x) = 4x2 - 5x + 7 and g(x) = 3x2 - 2x + 8, find f(x) + g(x).
Let u = (1,0,2) , v = (0,-1,2) and w = (2,1,0). Compute
(i) the area of the parallelogram bounded by u and v (5)
(ii) the equation of the plane parallel to v and w pass through the tip of u
Write an equation that involves multiplication,addition, contains a variable and has a solution of 8.