Answer: 11
Step-by-step explanation:
We need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), to simplify the expression:
1: First, we solve the exponent 3², which is 3 multiplied by itself, or 3 x 3 = 9.
2: So, the expression now becomes: (3 x 4) ÷ 6 + 9
3: Next, we solve the multiplication, which is 3 x 4 = 12.
4: So, the expression becomes: 12 ÷ 6 + 9
5: Then, we solve the division, which is 12 ÷ 6 = 2.
6: So, the expression becomes: 2 + 9
7: Finally, we solve the addition, which is 2 + 9 = 11.
The scale of a map is 2 in = 7 feet. If the map distance is 11 inches what is the actual distance.
Answer:
the answer is 38.5 feet
Step-by-step explanation:
divide 7 by two the multiply by 11
what is 600 hours in days?
Answer: 25 days
Step-by-step explanation:
Convert the unit for 600 hours
1 day = 24 hours
divide 600 hours with 24 hours as 24 hours = 1 day
600 ÷ 24 = 25
In science class, Mr. Brodell's students were directed to weigh a 400- gram mass on the balance scale. Erika weighed the object and reported 420 grams . What is the percent error of the weight of Erika's object
The percent error of the weight of Erika's object is given as follows:
5%.
How to obtain the percent error?The percent error is obtained applying the proportions in the context of the problem.
A proportion is applied as the percent error is calculated as the division of the error by the actual amount, divided by 100%.
The parameters for this problem are given as follows:
Error: 420 - 400 = 20 grams.Actual amount: 400 grams.Hence the percent error is given as follows:
20/400 x 100% = 5%.
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Please help me out I'm having trouble
The correct statement regarding the similarity of the circles is given as follows:
A. Circle 1 is always similar to circle 2.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Two circles are similar when one circle is a dilation of the other circle, and in this problem, we have that:
Circle 1 is a dilation of Circle 2 with a scale factor of 2.Circle 2 is a dilation of Circle 1 with a scale factor of 1/2.Hence the two circles are always similar and option a is correct.
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8 77/80 as a decimal
Answer: 8.875
Step-by-step explanation:
8 77/88
(77 ÷ 88) + 8
0.875 + 8
8.875
[tex]19.32 - 23.5[/tex]
Answer:
The answer to 19.32-23.5 is -4.18
What is the standard form of the equation of the parabola with focus: (0, 7) and the vertex at the origin?.
The standard form of the equation of the parabola with focus (0, 7) and the vertex at the origin is y = 1/28 x² + 7
A parabola is a symmetrical U-shaped curve that is defined by the set of all points that are equidistant to a fixed point, called the focus, and a straight line called the directrix. In a parabolic equation, the focus and the vertex are important points that determine the shape and position of the parabola.
In the case of the parabola with focus (0, 7) and the vertex at the origin (0,0), we can use the standard form of the equation of a parabola to write its equation. The standard form of a parabola is given by:
y = a(x - h)² + k
Where (h,k) is the vertex of the parabola and a is the coefficient that determines the direction and width of the parabola. To write the equation of this parabola, we need to find the value of a.
Since the focus is (0, 7) and the vertex is (0,0), we can use the formula:
a = 1/(4f)
Where f is the distance from the vertex to the focus. In this case, f = 7. Therefore, a = 1/(4 * 7) = 1/28.
Finally, we can substitute these values into the standard form to get the equation of the parabola:
y = 1/28 x² + 7
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Find the age of the mammal hide to the nearest year.
Enter the correct answer.
The age of the mammal hide is 3567 years
How do you use radioactivity to find age?Radioactivity can be used to determine the age of rocks, minerals, and fossils through a method called radiometric dating. This method is based on the principle that certain isotopes of elements decay at a known rate over time, producing new isotopes. By measuring the relative amounts of the original parent isotope and the newly formed daughter isotope, scientists can determine how much time has passed since the rock, mineral, or fossil was formed.
0.70 = 1 * e^-0.0001t
Take the logarithm of both sides:
log0.70 = loge^-0.0001t
-0.1549 = -0.0001t * 0.43429
t = -0.1549 / (-0.0001 * 0.43429)
t = 3566.74
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Is 6z-2z+4 and 4+2z-6z simply
6z-2z+4 4+2z-6z
4z+4 4-4z
No
SOMEONE PLS HELP FASTT
pic below
Answer:
the correct answer is Tim
How can I find a variable for 20 and 25
Answer: x/20=25
Step-by-step explanation:
You'll have to take the variable and divide it by 20 to equal 25.
How you do that is by subtracting 20 from 25, then you should get x=5, which would be your answer to the problem itself.
How can I find the variable for this?
Answer:
i think Pythagorean theorem
Step-by-step explanation:
c^2=a^2+b^2
Using trigonometric identities to simplify the following expression:
tan(θ)cot(θ)
Answer:
Step-by-step explanation:
The expression tan(θ)cot(θ) can be simplified using the trigonometric identity:
tan(θ) = sin(θ) / cos(θ)
cot(θ) = cos(θ) / sin(θ)
So,
tan(θ)cot(θ) = (sin(θ) / cos(θ)) x (cos(θ) / sin(θ))
= sin(θ) x cos(θ) / (cos(θ) x sin(θ))
= sin^2(θ) / sin^2(θ)
= 1
Therefore, tan(θ)cot(θ) = 1.
Hi can someone help me please and thank you
2.19g+59
Evaluate the expression when g = 3
A- 3.96
B- 7.16
C- 8.34
D- 8.93
Answer:
6.57+59=65.57 (I saw that 65.57 is not on there but that is the answer)
Step-by-step explanation:
Given:
[tex]2.19g+59[/tex] when [tex]g=3[/tex].
Substitute 3 into g.
[tex]2.19(3)+59[/tex]
Solve:
[tex]6.57+59=65.57[/tex]
given 9x+7. evaluate the expression if x=3
Answer:
34
Step-by-step explanation:
Insert 3 in for x in the equation.
9(3) + 7
9*3 = 27
27 + 7 = 34
Answer: 34
Step-by-step explanation:
if x =3 the equation will become 9(3)+7
We multiply to get 27+7
Add to get 34
What is the length of the missing side?
A. 36
B. 37.43
C. 38
D. 39
Answer: I would say B.
Step-by-step explanation: why not pick B…..
Hope this help^^
Explain why you cannot factor the trinomialx² - 12x + 6
There are no factors of 6 that add up to -12
There are no factors of -12 that add up to 6.
It can be factored
The quadratic equation x² - 12x + 6 = 0 is factorized and the solution to the equations are x = 6 ± √30
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
x² - 12x + 6 = 0 be equation (1)
Now , to calculate the solution of x ,
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
Substituting the values in the equation , we get
x = 12 ± √ ( 144 ) - ( 24 ) / 2
x = 12 ± 2√30 / 2
x = 6 ± √30
Hence , the solutions to the equation are x = 6 + √30 or x = 6 - √30
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The circle x2 + y2 – 18x + 8y + 48 = 0 is translated one unit right and two units down. Which is the radius and center of the translated circle?
The radius and center of the translated circle are,
Radius = 7 units
Center = (10, - 2)
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The equation of circle is,
x² + y² - 18x + 8y + 48 = 0
Now, We can simplify the equation as;
x² + y² - 18x + 8y + 48 = 0
x² - 18x + 81 - 81 + y² + 8y + 16 - 16 + 48 = 0
(x - 9)² + (y + 4)² = 49
(x - 9)² + (y + 4)² = 7²
Hence, The radius of circle = 7
And, Center = (9, - 4)
Let the center of circle after translated one unit right and two units down is, (h', k')
Hence, We get;
h' = 9 + 1 = 10
k' = - 4 + 2 = - 2
Thus, The equation of the translated circle is,
(x - 10)² + (y - (- 2))² = 7
Hence, the radius and center of the translated circle are,
Radius = 7 units
Center = (10, - 2)
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what is106 inches in feet?
Converting inches to feet using the given value, we get, 106 inches is equal to 8.83 feet.
To convert inches to feet, we divide the number of inches by 12, since there are 12 inches in a foot.
So, 106 inches divided by 12 gives us:
106 ÷ 12 = 8.83 feet
Therefore, 106 inches is equivalent to 8.83 feet.
It's important to note that in the United States, Liberia, and Myanmar, feet and inches are commonly used units of length for measuring things like height and distance. While other countries may use the metric system, it's always important to make sure you're using the correct units of measurement for the context in which you're working.
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you lease a car vauled at 23495 for 3 years
at 429.95/month
The amount of interest paid over the 3-year lease is $4,643.64 for a car.
What is a monthly payment?A monthly payment is a payment made every month to disburse loans or advances.
First, we need to calculate the total amount paid over the 3-year lease.
The monthly payment is $429.95, and there are 36 months in the lease, so:
Total lease payments = 36 x $429.95 = $15,478.20
The down payment of $500 is separate from the lease payments, so we don't include it in this calculation.
Next, we need to calculate the interest paid over the 3-year lease. We are told that interest is 30% of the monthly payment, so:
Monthly interest = 30% of $429.95 = $128.99
To find the total interest paid over the 3-year lease, we can simply multiply the monthly interest by the number of months in the lease:
Total interest paid = 36 x $128.99 = $4,643.64
Therefore, the amount of interest paid over the 3-year lease is $4,643.64.
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The question seems incomplete, the complete question would be as:
You lease a car valued at 23,495 for 3 years at $429.95/month with a $500 down payment. If interest is 30% of the payment, how much interest is paid over the 3 years?
Limosine Company P charges a rental fee plus an additional charge per hour. The equation y = 50 + 30x shows the total cost, y of renting the limosine, and the x represents the hours. The cost to rent a limosine from Company R is shown below in the table. Which statement is true?
A
Company R charges less money for 1 hour of service compared to Company P.
B
Company P has a lower rate of change than Company R.
C
Company P charges $25 more for its rental fee compared to Company R.
D
Company R charges a higher rental fee, but a cheaper rate of change to rent a limosine.
The correct statement is -
company {R} charges less money for 1 hour of service compared to company {P}.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Given is that Limousine Company {P} charges a rental fee plus an additional charge per hour. The equation {y} = 50 + 30x shows the total cost. The cost to rent a limousine from Company {R} is shown below in the table as -
Time : 1 2 3 4 5
Cost : $100 $125 $150 $175 $200
We can write the unit charge for company {P} as -
{r₁} = $30
We can write the unit charge for company {R} can be calculated as -
{r₂} = (125 - 100)/(2 - 1)
{r₂} = $25
We can conclude -
company {R} charges less money for 1 hour of service compared to company {P}.
Therefore, the correct statement is -
company {R} charges less money for 1 hour of service compared to company {P}.
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How to solve this first order linear differential equation?
To find first-order linear differential equations solution, we have to derive the general form or representation of the solution.
With the help of the steps shown below, we can learn how to solve the first-order differential equation.
1. Reorder the terms in the given equation so that they have the form [tex]$\frac{dy}{dx}+Py=Q[/tex] where P and Q are constants or functions of the independent variable x only.
2. Integrate P (obtained in step 1) with respect to x and then put this integral as a power of e to determine the integrating factor.
[tex]$e^{\int P d x}[/tex] = IF
3. The linear first-order differential equation's two sides should be multiplied by the IF.
4. The L.H.S of the equation is always a derivative of [tex]$y \times M(x)$[/tex] i.e. L.H.S [tex]$= \frac{d(y \times I . F)}{dx}[/tex]
[tex]$d(y \times I . F) d x=Q \times I . F$[/tex]
5. In order to arrive at the solution, we simply integrate both sides with respect to x in the last step.
Therefore [tex]y \times I . F=\int Q \times I . F d x+C$,[/tex]
where C is some arbitrary constant
Similarly, we can also solve the other form of linear first-order differential equation [tex]$\frac{dy}{dx}+Py=Q[/tex] using the same steps.
P and Q are y's functions in this manner. We determine the solution, which will be, by using the integrating factor (I.F), which is
[tex]$(x) \times(I . F)=\int Q \times I . F d y+c$[/tex]
Now, to get a better insight into the linear differential equation, let us try solving some questions. where C is some arbitrary constant.
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Please help with the question in the image
The measure of arc FB is 68 degrees.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
In the given circle BE is a semicircle
The measure of arc FC is 104 degrees.
We need to find the measure of arc FB
From the figure the measure of arc BC is 36 degrees
FC=FB+BC
104=36+FB
Substitute 36 from both sides
104-36=FB
68 degrees =FB
Hence, the measure of arc FB is 68 degrees.
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ASAP PLEASE, WHOEVER ANSWERS ALL 7 CORRECTLY AND QUICKLY WILL GET THANKS, 5 STARS, AND BRANLIEST!!!
Question 1(Multiple Choice Worth 2 points)
(Linear Functions LC)
Which of the following graphs represents a linear function?
coordinate plane with a graph drawn that passes through the points 2 comma negative 2 and 2 comma negative 1 and 2 comma 0
coordinate plane with a graph drawn that passes through the points negative 1 comma 0 and 0 comma negative 2 and 1 comma negative 4
coordinate plane with a graph that passes through the points negative 2 comma 0 and 0 comma negative 4 and 2 comma 0
coordinate plane with a graph that passes through the points negative 3 comma 0 and 0 comma negative 3 and 3 comma 0 and 0 comma 3
Question 2(Multiple Choice Worth 2 points)
(Linear Functions MC)
Which statement best explains whether the data in the following table represents a linear or nonlinear function?
x y
−4 4
−1 2.5
0 2
4 0
The table represents a nonlinear function because the graph shows a rate of change that is decreasing.
The table represents a linear function because the graph shows a rate of change that is increasing.
The table represents a nonlinear function because the graph does not show a constant rate of change.
The table represents a linear function because the graph shows a constant rate of change.
Question 3(Multiple Choice Worth 2 points)
(Linear Functions MC)
Which of the following tables represents a linear function?
x −2 −1 0 1 2
y 5 2 1 2 5
x −2 −1 0 1 2
y 5 3 1 −1 −3
x 3 3 0 3 3
y −2 −1 0 1 2
x 0 1 2 3 4
y 0 −1 2 −3 4
Question 4(Multiple Choice Worth 2 points)
(Linear Functions MC)
Which statement best explains whether the following graph represents a linear or nonlinear function?
coordinate plane with a graph that passes through the points negative 4 comma 0 and negative 2 comma negative 1 and 0 comma negative 2
The graph represents a linear function because there is a constant rate of change.
The graph represents a linear function because the rate of change is not constant.
The graph represents a nonlinear function because there is a constant rate of change.
The graph represents a nonlinear function because the rate of change is not constant.
Question 5(Multiple Choice Worth 2 points)
(Linear Functions LC)
Which of the following equations represents a linear function?
2x − 4 = 6
x = −2
y equals one half times x squared
y equals two thirds times x plus 4
Question 6(Multiple Choice Worth 2 points)
(Linear Functions MC)
Which statement best explains whether the equation y = 3x2 represents a linear or nonlinear function?
The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a linear function because its graph contains the points (−1, 3), (0, 0), and (1, 3), which are on a straight line.
The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a nonlinear function because its graph contains the points (−1, 3), (0, 0), and (1, 3), which are not on a straight line.
Question 7(Multiple Choice Worth 2 points)
(Linear Functions MC)
Which statement best explains whether the following table represents a linear or nonlinear function?
x −2 −1 0 1 2
y −4 −2 0 2 4
The table represents a nonlinear function because there is not a constant rate of change in the input values.
The table represents a nonlinear function because there is not a constant rate of change in the output values.
The table represents a linear function because there is a constant rate of change in the input and output values.
The table represents a linear function because there is not a constant rate of change in the input and output values.
Answer:
Step-by-step explanation:
1) = b im doing the test.
2)=The correct option is C) A coordinate plane is shown with a line crossing through the y axis at negative 3 and the x axis at 2.
3) its a
4)b
Marco's charges an additional fee for toppings, but all toppings cost the same. Kevin got pepperoni, banana peppers, and black olives on his pizza for a cost of $15.74. Brian ordered mushrooms and eggplant on his pizza and paid $14.49. Using this information, write an equation for the cost of a pizza, C, as a function of the toppings, t, ordered.
Answer: Let's use x to represent the cost of each topping. Then, the cost of a pizza with t toppings can be expressed as:
C = x * t + 15
We know that Kevin's pizza with 3 toppings cost $15.74, so we can write an equation using this information:
15.74 = 3x + 15
Solving for x, we get:
x = (15.74 - 15) / 3 = 0.74
So, each topping costs $0.74. Now we can use the information about Brian's pizza to check our answer:
14.49 = 2x + 15
Substituting x = 0.74, we get:
14.49 = 2 * 0.74 + 15
Which simplifies to:
14.49 = 1.48 + 15
This confirms that x = 0.74 is the correct cost for each topping. Therefore, the equation for the cost of a pizza as a function of the toppings ordered is:
C = 0.74t + 15
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!
The polynomial 6x³ - 8x⁴ + 5x + 12x² - 9 in standard form is -8x⁴ + 6x³ + 12x² + 5x - 9.
How to write polynomial in standard form?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Hence, let's write the polynomial in standard form as follows:
6x³ - 8x⁴ + 5x + 12x² - 9
Hence, in standard form,
6x³ - 8x⁴ + 5x + 12x² - 9 = -8x⁴ + 6x³ + 12x² + 5x - 9
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Use a model to divide 1/3 divided 4
Answer:
first
1/3 ÷ 4
we can use the kfc mode =
k= keep the first fraction the same
f= flip the division to multication
c=change the second fraction to it's inverse
the answer will be
1/3 ÷ 4
=1/3÷4/1
=1/3×4/1
= 4/3
Answer:
Step-by-step explanation:
3/4
Please help quick!!!!
Answer:
19 and 12
Step-by-step explanation:
The rule is y = 2x - 1
If x = 10, y = 19 because 20 - 1 = 19
If y = 23, x = 12 because 24 / 2 = 12
If y varies directly as x, and y is 12 when x is 1. 2, what is the constant of variation for this relation? 1.
The constant of variation for this relation is 10.
If y varies directly as x, we can write it as y = kx, where k is the constant of variation. This constant represents the relationship between x and y, and it determines how much y changes for a given change in x.
To find the constant of variation, we need to know the value of y and x. In this case, we are told that y is 12 when x is 1.2. Using this information, we can solve for k by dividing both sides of the equation by x:
y = kx
12 = k * 1.2
12 / 1.2 = k
k = 10
So the constant of variation is 10. This means that for every change of 1 in x, y will change by 10. In other words, if x increases by 1, y will increase by 10, and if x decreases by 1, y will decrease by 10.
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