14 14) Write an expression for the perimeter of a
rectangular room with sides x + 4 and
2x - 3
f
A) 3x + 7
C) 6x + 2
B) 3x + 1
D) 6x + 12
Answers
Check the picture below.
Related Questions
Convert 2,36hrs to hrs, minutes and seconds
Answers
The answer is 3.93 hours. This is because in one hour there are 60 minutes so you would need to divide your number 236 by 60 and you should end up with 3.9333, which rounded to would just be 3.93 hours in total.
Hope that helps!
Please help me with this.
Answers
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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A loan is being paid off by payments of 1,000, 2,000, ..., 10,000 at the end of years 1, 2, ..., 10.
The effective annual interest rate is 18%.
Determine the amount of interest in the 7th payment.
Answers
Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.
We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000
At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.
For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals
1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000
For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2
For the seventh payment (end of year 7), the present value is:
7,000 x [(1 - (1 + r)-7) / r]
which equals
7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7
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What is the probability of getting a vowel if you randomly pick a letter from the English alphabet?
Answers
A rectangular park is 70 meters wide and 100 meters long.
Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Answers
9514 1404 393
Answer:
60 m wide and 110 m long
Step-by-step explanation:
The more the shape deviates from a square, the smaller the area will be. The area can be reduced by making the park longer and narrower. The sum of length and width must remain the same for the perimeter to be unchanged.
Given park: 70 m × 100 m = 7000 m²
Smaller park: 60 m × 110 m = 6600 m² -- less area than 7000 m²
Every year the value of a surveying machine depreciates by 25% of its value in the previous year , if the value of the machine was $11250 in 2012 find the value in 2010
pls help in very detailed way
don't use this sign(*) I get confused
Answers
Answer:
I'm not sure but maybe like 5
What is the period of y= sec X?
Answers
Given:
The given function is
\(y=\sec x\)
To find:
The period of given function.
Solution:
General sec function is defined as
\(y=A\sec (Bx+C)+D\)
Where, A is amplitude, \(\dfrac{2\pi}{B}\) is period, \(-\dfrac{C}{B}\) is phase shift and D is vertical shift.
We have,
\(y=\sec x\)
Here, B=1. So,
\(Period=\dfrac{2\pi}{1}\)
\(Period=2\pi\)
Therefore, the period of given function is 2π.
The value of period of function y = sec x is, 2π.
The given function is,
y = sec x
Since, We know that,
General form of equation for sec x is,
y = A sec (Bx + C) + D
Where, A is amplitude, 2π/B is period and D is vertical shift.
Here, function is,
y = sec x
Hence, B = 1,
So, Period = 2π/B
= 2π/1
= 2π
Thus, The value of period of function y = sec x is, 2π.
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It costs $350 to spend 4 nights at the Econo Motel. It costs $475 to spend 6 nights at the Bluebird Inn. Which of these statements is true?
Answers
Answer: A
Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.
6) Stacy ran 8 miles. She
recorded how long it took her to run each mile in minutes. How many total minutes did it take Stacy to run the 8 miles?
Answer Options
36 1/2
72 1/2
81
54 1/4
Answers
Answer:
72 1/2
Step-by-step explanation:
so, she ran 2 miles in 8 3/4 minutes each.
3 miles in 9 minutes each.
2 miles in 9 1/4 minutes each.
1 mile in 9 1/2 = 9 2/4 minutes.
in total that means
2×(8 3/4) + 3×9 + 2×(9 1/4) + 9 2/4 =
= 16 6/4 + 27 + 18 2/4 + 9 2/4 =
= 16 + 27 + 18 + 9 + 6/4 + 2/4 + 2/4 =
= 70 + 10/4 = 70 + 2 + 2/4 = 72 2/4 = 72 1/2 minutes
A cereal box says that now it contains 20% more. Originally, it came with 18.5 ounces of cereal. How much cereal does the box come with now? Explain your reasoning.
Answers
Percentages can be expressed as decimals. Percentage of something can be found by multiplying the number by the decimal.
20% = 0.20
20%(18.5)
0.20(18.5)
3.7
Since this is a 20% increase, we will add this to the original value.
18.5 + 3.7 = 22.2
For a population of scores, the sum of the deviation scores is equal to EX. True or False?
Answers
It is false that for a population of scores, the sum of the deviation scores is equal to expected value.
Are the sum of deviation scores equal to EX?The sum of deviation scores is not equal to the expected value (EX) of a population of scores. The expected value represents the average value that we expect to obtain if we were to repeatedly sample from the population.
The sum of deviation scores is the sum of the differences between each score and the mean of the population. It provides information about the total variability in the data. While both concepts are related to the distribution of scores, they serve different purposes and are calculated differently.
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If u(x) = −2x² +3 and v(x)=1/x, what is the range of (uv)(x)?
Answers
Given:
\(\begin{gathered} u(x)=-2x^2+3 \\ v(x)=\frac{1}{x} \end{gathered}\)Required:
To find the range of the function (uv)(x).
Explanation:
We know that
\(\begin{gathered} (uv)(x)=u(v(x)) \\ \\ =u(\frac{1}{x}) \\ \\ =-2(\frac{1}{x^2})+3 \\ \\ =-\frac{2}{x^2}+3 \end{gathered}\)The horizontal asymptote of this function is at y=3.
So, the range of this function is from
\((-\infty,3)\)Final Answer:
The range of (uv)(x) is
\((-\infty,3)\)if f(x)=x+2/x^2-9 and g(x)=11/x^2+3x
A. find f(x)+g(x)
B. list all of the excluded values
C. classify each type of discontinuty
To receive credit, this must be done by Algebraic methods, not graphing
Answers
The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
A. To find f(x) + g(x), we add the two functions together:
f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)
To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:
f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]
Simplifying the numerator:
f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]
Combining like terms:
f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]
B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:
(x^2 - 9) = 0 --> x = -3, 3
(x^2 + 3x) = 0 --> x = 0, -3
So, the excluded values are x = -3, 0, and 3.
C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.
At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.
At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.
Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
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help me asap. my exam is tomorrow.
Answers
The total surface area of the doghouse is 1452 ft²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.
area of the roof part = 2( 13×11) + 2( 12× 10)×1/2
= 286 + 720
= 1006 ft²
surface area of the building
= 2( lb + lh + bh) -bh
= 2( 10× 11 + 10×8 + 11×8) - 10×11
= 2( 110+80+88)-110
= 2( 278) -110
= 556 -110
= 446ft²
The total surface area = 1006 + 446
= 1452 ft²
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A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
Answers
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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a shelf is 24 inches
Answers
Answer:
Step-by-step explanation:
can you help me pls
If 3b – (6 – b) = –22, find the value of 7b.
Answers
Answer:
Step-by-step explanation:
first solve for b:
distribute the negative sign over the parentheses so:
3b-6+b=-22
combine like terms:
3b+b=-22+6
4b=-16
b=-4
2. Plug in the value of b
7b (replace b with -4)
7(-4)
=-28
When 5 is added to a number n, the result is greater than 11. Which inequality can be used
to find the values of n?
n +5 < 11
n +5 > 11
n +5 > 11
n + 5 < 11
Answers
9514 1404 393
Answer:
n + 5 > 11
Step-by-step explanation:
When 5 is added to a number n, the expression representing that sum is ...
5 + n
When that is greater than 11, the expression representing that comparison is ...
5 + n > 11
A box contains 15 green marbles and 16 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble
Answers
===================================================
Explanation:
16/31 represents the probability of picking a white marble
This is because there are 16 white out of 15+16 = 31 total.
---------
After we make a first selection, we have 16-1 = 15 white marbles left out of 31-1 = 30 marbles overall. The probability of selecting another white marble is 15/30 = 1/2.
Multiply those two fractions:
(16/31)*(1/2) = (16*1)/(31*2) = (2*8)/(31*2) = 8/31
which represents the probability of selecting two white marbles in a row, such that we don't put the first one back (and there's no replacement).
help me with this question
Answers
Given two points coordinate
\((2,-4)\text{ and (-3,-3)}\)The equation of the line in slope-intercept form can be obtained using
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)Define the x and y values, then substitute in the above formula
\(x_1=2,y_1=-4,x_2=-3,y_2=-3\)\(\begin{gathered} y-(-4)=\frac{-3-(-4)}{-3-2}(x-2) \\ y+4=\frac{-3+4}{-5}(x-2) \\ y+4=-\frac{1}{5}(x-2) \end{gathered}\)\(\begin{gathered} y+4=-\frac{1}{5}x+\frac{2}{5} \\ y=-\frac{1}{5}x+\frac{2}{5}-4 \\ y=-\frac{1}{5}x-\frac{18}{5} \end{gathered}\)Hence, Option C is the correct answer
A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle
Answers
The length of the arc defined by the central angle of 312 degrees is 26π cm.
The formula for the arc length of a circle is given by:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.
Substituting the given values, we get:
L = (312/360) × 2π(30)
L = (26/30) × π × 30
L = 26π cm
Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.
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Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answers
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
the question is 4 1/5 x 5/14
Answers
Answer:
3/2
Step-by-step explanation:
Simplify the following:
((4 + 1/5)×5)/14
((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:
((4 + 1/5)×5)/14
Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:
(((5×4)/5 + 1/5) 5)/14
5×4 = 20:
((20/5 + 1/5)×5)/14
20/5 + 1/5 = (20 + 1)/5:
(((20 + 1)/5)×5)/14
20 + 1 = 21:
(21/5×5)/14
21/5×5 = (21×5)/5:
((21×5)/5)/14
((21×5)/5)/14 = (21×5)/(5×14):
(21×5)/(5×14)
(21×5)/(5×14) = 5/5×21/14 = 21/14:
21/14
The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:
Answer: 3/2
What is the answer to 27-45=
Answers
Answer:
-18 if youre asking about simple subtraction
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
its like saying (-45)+27.
you have to add the 27 to 45 to get to 0 and them see how much you have left
Find the slope of the line
A -3
B 3
C -2
D 2
Answers
So it would be -2
Use the quadratic formula to solve the equation.
-X^2+ 7x = 5
Answers
Answer:
(7±√29) /2
Step-by-step explanation:
-x²+7x=5
x²-7x+5=0
x=-(-7)/2 ±√49/4-4
=7/2±√29 /4
=(7±√29) /2
A falcon swoops down to snatch an animal from the ground before flying back into the air. Her height above the ground in feet is shown after x seconds. What does the x intercept(s) represent?
Answers
We are given a graph of the height of a falcon with respect to time. The x-intercept of the graph represents the height of the falcon when x = 0, that is, the initial height. since the graph shows that the x-intercept is 8, this means that the falcon starts 8 feet in the air.
Identify the glide reflection rule in the given figure
Answers
Answer:
Option (3)
Step-by-step explanation:
Glide reflection of a figure is defined by the translation and reflection across a line.
To understand the glide rule in the figure attached we will take a point A.
Coordinates of the points A and A' are (2, -1) and (-2, 4).
Translation of pint A by 5 units upwards,
Rule to be followed,
A(x, y) → A"[x, (y + 5)]
A(2, -1) → A"(2, 4)
Followed by the reflection across y-axis,
Rule to be followed,
A"(x, y) → A'(-x, y)
A"(2, 4) → A'(-2, 4)
Therefore, by combining these rules in this glide reflections of point A we get the coordinates of the point point A'.
Option (3) will be the answer.
Answer:Reflection along the line y= -1
Step-by-step explanation:
took test
Using the graph determine the coordinates of the zeros of the parabola
Answers
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,
Which graph represents the function f(x) = -|x| − 3?
Answers
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
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