Step-by-step explanation:
13. 15² = 12² + ?²
225 - 144 = ?²
? = √81
? = 9 feet
16. D. Regular Hexagon
Find the area of this triangle.
Answer:
The area is 104
Step-by-step explanation:
Answer:
the area is 104in.
Step-by-step explanation:
.........
what is the value of x in this equation
2x + 2 = -52
Answer:
x=-27
Step-by-step explanation:
2x-2=-52
2x=-54
×=-27
have a good day
Answer:
x = - 27 is the correct answer
Step-by-step explanation:
2x + 2 = -52
or, 2x = -52 -2
or, 2x = -54
or, x = -54 ÷ 2
therefore, x = -27
hope this answer will help u
In ΔQRS, s = 7.9 cm, ∠Q=125° and ∠R=23°. Find the length of q, to the nearest 10th of a centimeter.
The length of q, to the nearest 10th of a centimeter, is 8.8 cm.
We are given the following;
In ΔQRS, s = 7.9 cm, ∠Q=125° and ∠R=23°.
The third angle can be calculated using the angle sum property:
angle Q + angle R + angle S = 180 degrees
125 degrees + 23 degrees + angle S = 180 degrees
angle S = 180 - (125 + 23) degrees
angle S = 180 - 148 degrees
angle S = 32 degrees
To find the length of q we shall apply the Sine rule.
q / Sin Q = s / Sin S
q / Sin 125 = 7.9 / Sin 32
by cross multiplication we will get;
q = (7.9 x Sin 125) / Sin 32
q = (7.9 x 0.61) / 0.55
q = 8.8 cm (approximately)
So, the length of q is 8.8 cm.
Thus, the length of q, to the nearest 10th of a centimeter, is 8.8 cm.
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On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
The statement that is true about the function is:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).What is the function of a graph?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have:
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.
Hence, the correct option is A.
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Please help this assignment is over due and I don't get it
Answer:
5
2y
40
Step-by-step explanation:
Answer:
y = 5
Because [2y] is on both sides of the equation, 8y must be equal to [40] so that the equation is true.
Step-by-step explanation:
Combine like terms to find the value of y.
8y + 2y = 2y + 40
10y = 2y + 40
8y = 40
y = 5
As we can see, we ended with 8y = 40, and 2y is the only term on both sides of the equation.
1) Note the following polynomial:
6 + 9x^2 + 3x^3 + 2x^4 - 12x
Part A) Rewrite the polynomial in standard form.
Part B) What is the degree of this polynomial ?
Part C) Use the Rule of Signs to determine the options of possible number of positive zeroes, negative zeroes and complex zeroes
Part D) Use the rational root theorem to determine what positive or negative numbers could be the roots of this polynomial.
Part E) graph this polynomial. Present a sketch or a screenshot of graph please.
Part F) Based on your graph, how many positive, negative and complex zeroes does this polynomial have ?
PLEAS HELP AND SHOW WORK! 25 POINTS and DON"T FORGET ABOUT THE GRAPH!
The powers, (index) and coefficients of the polynomial indicates;
(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
(B) 4
(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4
(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6
(E) Please find attached the graph of the polynomial created with MS Excel
(F) Four complex roots
What is a polynomial?A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.
Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4
Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;
Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;
+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes
The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;
The possible number of negative zeros are 2 or 0, negative zeroes
Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4
Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.
The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;
p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6
Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel
Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial
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For -3y+2x=-18 determine the value of y when x = 0, and the value of x when y = 0.
Hello!
We have two different scenarios that we have to solve in the question. We will be solving for both the x and y variable.
We were given the equation: -3y + 2x = -18
To solve for our variables, we will use the values given in our question.
Solve:
Lets solve for the value "y", where our x = 0
Plug in 0 to x and solve:
-3y + 2(0) = -18
-3y = -18
y = 6
Lets now solve for the value "x", where our y = 0
Plug in 0 to y and solve:
-3(0) + 2x = -18
2x = -18
x = -9
Therefore, our answers would be: y = 6, x = -9
Answer:
y = 6
x = -9
HELPPPPPP needs to be done by 11:00 it's 10:21 please
The answer is -6.5
do you need an explination
Answer:
light blue one
Step-by-step explanation:
The light blue one if i can see it correctly, -65
The temperature inside my refrigerator is about 40 Celsius. That temperature in Kelvin is K.
I place a balloon in my fridge that initially has a temperature of 220 C. This is K.
If the original volume of the balloon is 0.5 liters, what will be the volume of the balloon when it is fully cooled by my refrigerator? liters. (Round to two decimal places)
To solve this problem, we need to use Charles's law, which states that, at constant pressure, the volume of a sample of gas is directly proportional to its temperature.
The law can be expressed mathematically as:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{ \frac{V_1}{T_1}=\frac{V_2}{T_2} } \end{gathered}$} }\)
Where:
V₁ is the initial volumeT₁ is the initial temperatureV₂ is the final volumeT₂ is the final temperatureNow we obtain the data to continue solving:
V₁ = 0.5 LT₁ = 220 °CV₂ = ?T₂ = 40 °CNow, we will convert the temperatures to Kelvin:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_1=220 \ ^{\circ}C+273=493 \ Kelvin} \end{gathered}$} }\)
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_2=40 \ ^{\circ}C+273= 313 \ Kelvin} \end{gathered}$} }\)
Now we solve for V₂:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{V_1T_2}{T_1 } } \end{gathered}$} }\)
Where:
V₁ is the initial volumeT₁ is the initial temperatureV₂ is the final volumeT₂ is the final temperatureNow, we substitute the values in the formula:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{(0.5 \ L\times313\not{k} )}{493\not{k} } } \end{gathered}$} }\)
\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2\approx0.32 \ Liters } \end{gathered}$} }}\)
The final volume of the balloon, when completely cooled in the refrigerator, will be approximately 0.32 liters.I don't know how to do.
labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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16m^2+60m-54
Factor
In a normalized floating point system that supports subnormal numbers, which of the following binary operations on two positive numbers could lead to overflow?
- Division
- Multiplication
- Addition
- Subtraction
Multiplication is the binary operation in a normalized floating point system that supports subnormal numbers that can lead to overflow.
In a normalized floating point system that supports subnormal numbers, overflow can occur when performing the operation of multiplication.
Overflow occurs when the result of an operation exceeds the largest representable number in the system, resulting in an incorrect answer. In a normalized floating point system, the largest representable number is typically represented by the largest positive exponent and the maximum representable significand.
Multiplication of two positive numbers can cause the result to grow much larger than either of the original numbers, leading to an overflow. On the other hand, division of two positive numbers can cause the result to shrink, reducing the risk of overflow. Addition and subtraction of two positive numbers will also not cause an overflow unless one of the numbers is much larger than the other.
In a normalized floating point system that supports subnormal numbers, underflow can occur when performing the operation of division. Underflow occurs when the result of an operation is smaller than the smallest representable number in the system, resulting in a loss of precision or even rounding to zero. In a normalized floating point system, the smallest representable number is represented by the smallest positive exponent and the smallest representable significand.
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is 31.43 a integer ?
Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts
Answer:
Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5
Kwame is given the graph below.
Which of the following best describes the graph?
a quadratic equation with differences of 1, then 2, then 4, ...
an exponential function with a growth factor of 2
a quadratic function with a constant difference of 2
an exponential function with growth factors of 1, then 2, then 4, ..
The best description of the graph is "a quadratic function with a constant difference of 2."
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.
In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.
On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.
Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.
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Write a system of equations with the
solution (2, 1, 0).
The system of equations with the solution are 2x + y - z = 5, 5x - 3y + 4z = 7 and -6x -7y + 2z = -19.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solution to this system will give us the solution to the considered equation.
Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
The system of equations with the solution (2, 1, 0) is;
2x + y - z = 5
The system of equations with the solution (5, -3, 4) is;
5x - 3y + 4z = 7
The system of equations with the solution(-6 , -7, 2) is;
-6x -7y + 2z = -19
The complete question is
"Write a system of equations with the solution (2, 1, 0) is 5, (5, -3, 4) is 7 and (-6 , -7, 2) is -19."
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Fill in the blank:
1. Any Polynomial equation has a number of solutions or roots equal to the ___
of the equation, including complex and imaginary solutions.
"Our new
training room can seat 150
employees. If 6 tables consisting of 6
chairs are now taken, what
percentage of our new facility's
seating is full?"
Employee: "At this point, we have
used up
of our new seating
capacity."
The percentage of our new facility's seating is full will be 76%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
Our new training room can seat 150 employees.
If 6 tables consisting of 6 chairs are now taken.
Then the number of occupied seats by tables will be
⇒ 6 x 6
⇒ 36
Then the percentage of our new facility's seating is full will be
P = [(150 - 36) / 150] x 100
P = (114/150) x 100
P = 0.76 x 100
P = 76%
The percentage of our new facility's seating is full will be 76%.
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Current and Quick Ratios The Nelson Company has $1,250,000 in current assets and $500,000 in current liabilities. Its initial inventory level is $335,000, and it will raise funds as additional notes payable and use them to increase inventory. How much can Nelson's short-term debt (notes payable) increase without pushing its current ratio below 2.2? Do not round intermediate calculations. Round your answer to the nearest dollar.
Answer:
Step-by-step explanation:
$1,250,000 in current assets (cr) and $500,000 in current liabilities(cl)
current ratio (cr)=1250000/500000=2.5
Δ note payable ( change in note payable NP)
minimum current=2.2
2.2=(1250000+ΔNP)/(500000+ΔNP)
2.2(500000+ΔNP)=1250000+ΔNP
1100000+2.2ΔNP=1250000+ΔNP
2,2ΔNP-ΔNP=1250000-1100000
1.2ΔNP=150000
ΔNP=150000/1.2=125000
Nelson's short-term debt (notes payable) increase without pushing its current ratio below 2.2=125000
assuming this amount used to increase the inventory
new inventory=335000+125000=360000
current asset= 1250000+125000=1375000
the new ratio=(1375000-360000)/500000+125000
new ratio = 1.624
You are planning a deck along two sides of a pool. The deck is to have a total perimeter of 124 feet. The diagram, which is not drawn to scale, shows the division of the deck into 3 sections. What are the dimensions of each section?
The dimension of section 1 is
15 ft by 3 ft
The dimension of section 2 is
3 ft by 3 ft
The dimension of section 3 is
10 ft by 3 ft
Option A is the correct answer.
How to solveFrom the figure given below,
We have,
Section 1: 15 ft by 3 ft
Section 2: 3 ft by 3 ft
Section 3: 10 ft by 3 ft
The perimeter of all these sections.
= 15 + 3 + 15 + 3 + 3 + 10 + 3 + 10
= 62 feet
Thus,
The dimensions of each section are:
Section 1: 15 ft by 3 ft
Section 2: 3 ft by 3 ft
Section 3: 10 ft by 3 ft
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I need help with this
In other terms, imaginary numbers are those that have no known value and are represented by the square root of negative numbers. Most of the time, it is expressed as real values multiplied by an arbitrary unit called "i."
Is it possible for a quadratic to have both real and imaginary roots?Answer and justification Therefore, a quadratic equation with rational coefficients cannot have both a real and an imaginary root.
How can you find complex roots using Descartes' Rule of Signs?
We may determine the total number of positive + negative real roots using the rule of signs. We may get the potential number of complex roots by deducting this total from the polynomial's degree.
An imaginary integer is referred to as an imaginary zero if it produces a zero output when plugged into a polynomial (or a complex zero).
Complex numbers are those that are expressed as a+b, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1).
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Let $\triangle A_0B_0C_0$ be a triangle whose angle measures are exactly $59.999^\circ$, $60^\circ$, and $60.001^\circ$. For each positive integer $n$, define $A_n$ to be the foot of the altitude from $A_{n-1}$ to line $B_{n-1}C_{n-1}$. Likewise, define $B_n$ to be the foot of the altitude from $B_{n-1}$ to line $A_{n-1}C_{n-1}$, and $C_n$ to be the foot of the altitude from $C_{n-1}$ to line $A_{n-1}B_{n-1}$. What is the least positive integer $n$ for which $\triangle A_nB_nC_n$ is obtuse?
$\textbf{(A) } 10 \qquad \textbf{(B) }11 \qquad \textbf{(C) } 13\qquad \textbf{(D) } 14 \qquad \textbf{(E) } 15$
The least positive integer n for which \($\triangle A_nB_nC_n$\) is obtuse is 15.
Since the angles of\($\triangle A_0B_0C_0$\) are \($59.999^\circ$, $60^\circ\) and \($60.001^\circ$\), the triangle is very close to being equilateral. Therefore, each time an altitude is drawn from one of the vertices, the triangle will become more acute, and it will take many iterations before an obtuse triangle is formed. The least positive integer n for which \($\triangle A_nB_nC_n$\) is obtuse is 15. To confirm this, we can use the Law of Cosines. For \($\triangle A_15B_15C_15$\) , we have \($A_{15}B_{15} = 90 - 60.001 = 29.999$ and $B_{15}C_{15} = 90 - 59.999 = 30.001$\). Therefore, \($A_{15}C_{15}^2 = 29.999^2 + 30.001^2 - 2(29.999)(30.001)\cos \angle A_{15}B_{15}C_{15} = 899.998^2$\) . Since \($A_{15}C_{15}^2 > 899.997^2$, $\angle A_{15}B_{15}C_{15}$\) is obtuse, and therefore the answer is (E) 15.
The least positive integer n for which \($\triangle A_nB_nC_n$\) is obtuse is 15.
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What number can be placed in the box to make this statement true?
If +7=10, then 10-7 = 0.
02
O 3
04
O 5
Answer: the number that can be placed in the box to make the statement true is 3.
Step-by-step explanation:
To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.
If we substitute 3 for the box in the statement, it becomes:
If +7=10, then 10-7=3.
The variables x and y vary inversely with a constant of variation of 7. Use the inverse variation formula, k = xy, to find y when x = 9
Answer:
7/9---------------
We are given that:
k = 7 and x = 9Find the value of y by substituting the given values into formula:
k = xy7 = 9yy = 7/9|4t+n| if t = -2 and n = 5 for algebra 1
Answer:
It would be 13.
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
36 hundredths divided by 9 tenths
Answer: The answer would be 0.4 or 4/10
Step-by-step explanation:
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer
Measure the shape yourself and follow the explanation.
Step-by-step explanation:
Measure each side of the Triangles with your ruler. Record it.
For example,
I measured and got 3cm, 3.5cm, 3.5cm.
Multiply by scale factor r 2.
for example, 3cm × 2 = 6cm
3.5cm × 2 = 7.0cm
3.5cm × 2 = 7.0cm
Use your pencil to draw your new numbers to form the new Triangle.
As for the second shape, measure each four sides using ruler
for example, I measured and had 4cm, 6cm, 4cm, 6m.
Multiply by scale factor r 2.
for example, 4cm × 1/4 = 1 cm
6cm × 1/4 = 1.5cm
4cm × 1/4 = 1 cm
6cm × 1/4 = 1.5cm
Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape