Answer:
Im back XD
Step-by-step explanation:
Write the equation of the line the that is parallel to 21x-7y=12 and goes through the point (1, -3).
To solve a(b + c) = d for a in 1 step:
Answer:
a = \(\frac{d}{b+c}\)
Step-by-step explanation:
a(b + c) = d
isolate a by dividing both sides by b + c
a = \(\frac{d}{b+c}\)
Match to the correct one
Answer:
1. b_ 2. a_ 3. c_ 4. d
Step-by-step explanation:
1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.
A flower bed has the shape of a rectangle 6yards long and4 yards wide. What is its area in square feet?
Be sure to include the correct unit in your answer.
Answer:
24 sq yds
Explanation:
9 sq ft per sq yd
24*9=216 sq ft
Hey! can you please help me with this question :)
Find the difference between simple interest and compound interest, compounded annually, on a deposit of $3,000 that earns 4.5% interest for 5 years.
A manufacturer has two options for making cube-shaped boxes. The cost is calculated by multiplying the surface area of the box by the cost per square inch of the cardboard. Answer parts a through c below.
The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.
Describe Quadratic functions?A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.
The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).
Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.
Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.
a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:
f(x) = 0.005(6x²) = 0.03x²
b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:
g(x) = 0.004(6x²) = 0.024x²
Therefore, the quadratic functions are:
f(x) = 0.03x² for Design A
g(x) = 0.024x² for Design B
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The complete question is:
Solve y = ax² + c for x.
O x
x= ± √ay-c
O
O
x = ±₁
X=
X=
у-с
a
y
y + c
a
In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)
A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.
To find the value of x
Assuming \(a\neq o\)
First, subtract c from both the sides to get:
\(y-c=ax^{2}\)
then, divide both sides by \(a\) and transpose to get:
\(x^{2} =\frac{y-c}{a}\)
So, \(x\) must be a square root of \(\frac{y-c}{a}\) and we can deduce:
\(x=\) ± \(\sqrt \frac{y-c}{a}\)
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A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?
116.875 cubes
163.5 cubes
935 cubes
1870 cubes
Answer:
163.5 cubes
Step-by-step explanation:
Answer:
A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?
116.875 cubes
163.5 cubes
935 cubes
1870 cubes
163.5 cubes
Step-by-step explanation:
A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?
116.875 cubes
163.5 cubes
935 cubes
1870 cubes
163.5 cubes
A random sample of size 18 from a normal population gives 36.5 and s2 1148. Find the upper bound of a 99% confidence interval for σ2(round off to the nearest integer).
The upper bound of a 99% confidence interval is found as 57.07.
Explain the term upper confidence bound (UCB)?A confidence boundary which the algorithm sets to each machine on each cycle of exploration is the foundation of the deterministic UCB method for Reinforcement Learning, which focuses on exploring and exploiting. Whenever a machine is often used frequently than other machines, the border shrinks.For the stated question-
sample size n = 18normal population mean x = 36.5variance s² = 1148; s = 33.88 z(α/2) for 99% confidence interval = 2.576Thus, upper confidence bound (UCB) is estimated as;
UCB = x + z(α/2)×s/√n
UCB = 36.5 + 2.576×33.88/√18
UCB = 36.5 + 20.57
UCB = 57.07
Thus, the upper bound of a 99% confidence interval is found as 57.07.
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Tubby Toys estimates that its new line of rubber ducks will generate sales of $7 million, operating costs of $4 million, and a depreciation expense of $1 million. If the tax rate is 25%, what is the firm’s operating cash flow?
Answer:
2.5m
Step-by-step explanation:
Using the adjusted accounting profits method.
Operating cash flow = After - tax profit + Depreciation. .......... ( 1 )
Given that :
* depreciation expense = $1 million
* Sales generated $7 million
* Tax rate = 25%
Tax rate = 25/100
= 0.25
From equation 1
= ( 7m - 4m - 1m ) ×( 1 - 0.25 ). + 1m
= ( 7m - 5m ) × ( 0.75 ) + 1m
= 2m × 0.75 + 1m
= 1.5m + 1m
= 2.5m
The firm operating cash flow = 2.5m
M/4 + q ; m=2/3 , and q= 1/4
Given the expression:
\(\frac{m}{4}+q\)We will find the value of the expression when m=2/3, and q= 1/4
So,
\(\begin{gathered} (\frac{2}{3}\div4)+\frac{1}{4} \\ \\ =(\frac{2}{3}\times\frac{1}{4})+\frac{1}{4} \\ \\ =\frac{1}{6}+\frac{1}{4}=\frac{2}{12}+\frac{3}{12}=\frac{5}{12} \end{gathered}\)So, the answer will be: 5/12
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
what is dynamic environment?
Answer:
A dynamic environment is a business environment that is rapidly changing. In a dynamic market, businesses have to adapt quickly to changes and develop new ideas, products and services to keep up with technology and new trends.
Step-by-step explanation:
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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what is the length of an arc which substends an angle of 60digree at the center of a circle of radius 1/2m?
0.5236 meters is the length of the given arc.
The formula for the length of an arc is given by:
Arc Length = (θ/360) * 2πr
Where:
θ is the central angle in degrees.r is the radius of the circle.In this case, the central angle is 60 degrees and the radius is 1/2 meters.
Plugging the values into the formula, we have:
Arc Length = (60/360) * 2π(1/2)
Arc Length = (1/6) * π
Arc Length = π/6
Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.
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what is the value of x for 3x^2 - x + 9 = 0
Correct option is A)
Consider the given equation,
3
2x
+10.3
x
−9=0
Let ,y=3
x
Now ,
y
2
−10y+9=0
y
2
−9y−y+9=0
y(y−9)−1(y−9)=0
(y−9)(y−1)=0
When,
x−9=0
x=9
Now ,
9=3
x
3
2
=3
x
x=2
When,
y−1=0
y=1
3
x
=1
3
x
=3
0
x=0
x=0,x=2
This is the answer
Find the complement of the set given that U = {x | x ∈ I and −3 ≤ x ≤ 7}. (Enter your answers as a comma-separated list.) {x | x ∈ W and x < 5}
Huh?? Can u attach a picture or some
the base of s is a circular disk with radius 5r. parallel cross-sections perpendicular to the base are squares.
The volume of the solid is 250r³ when the base of s is a circular disk with radius 5r.
Given that,
We have to discover the described solid's volume, v. The parallel cross-sections perpendicular to the base of s are squares, and the base of s is a circular disk with radius 5r.
We know that,
A cylinder is a solid with square cross sections parallel to the bases and circular bases. Its height is equal to the base circle's diameter.
The radius = 5r,
So the height = diameter = 10r
Volume of the cone is base × height= πr²×h
=π(5r)²×(10r)
=250πr³
Therefore, The volume of the solid is 250r³ when the base of s is a circular disk with radius 5r.
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Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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araceli renta un local rectangular de 4.2 metros de frente y 7.3 metros de largo para su panaderia, ¿cuantos metros cuadrados tiene el local que rento?
The number of square meters that the space that Araceli rents is, is 30. 66 square meters.
How to find the area ?The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.
The given width is 4. 2 meters and the length is 7. 3 meters.
The area of the space in square meters is therefore :
Area = Length × Width
Area = 7. 3 meters × 4. 2 meters
Area = 30. 66 square meters
In conclusion, the space that Araceli rents has an area of 30. 66 square meters.
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PLEASE HELP DUE NOW!!
Answer:
✓ C. f(x)= sqrt 1/x
Step-by-step explanation:
i hoep this answer your question
Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
\(\pi\)
Step-by-step explanation:
Area = \(\pi x^{2}\) For a full circle. This is 1/4 of a circle
A= \(\frac{\pi 2^{2} }{4}\) = \(\frac{\pi 4}{4}\) = \(\pi\)
Answer : The area of the shape is, 111.02 units 2
Minimizing Costs A pencil cup with a capacity of 20 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 12¢/in.2 and the material for the base costs 60¢/in.2, what should the dimensions of the cup be to minimize the construction cost?
The dimensions of the cup that minimize the construction cost are 2 x 2 x 5 in
How to determine the dimensions of the cup that minimize the construction cost?
Given: Capacity = 20 in³, cost of material for the side = 12¢/in² and cost of material for the base = 60¢/in²
In order to calculate the dimension of the cup
Let h and x represent the height and square base respectively
Thus, the capacity (volume) of the pencil cup is can be represented as:
V = x²h (where V = 20)
20 = x²h
h = 20/x²
At minimum cost, we have:
C(x) = 60x² + 12(4xh)
C(x) = 60x² + 48xh (put h = 20/x²)
C(x) = 60x² + 48x(20/x²)
C(x) = 60x² + 960/x
Differentiating with respect to x, we have:
C(x) = 120x - 960/x² (multiply through by x²)
120x³-960 = 0
120x³ = 960
x³ = 960/120
x³ = 8
x = ∛8 = 2 in
For the height:
h = 20/x²
h = 20/2²
h = 20/4 = 5 in
dimensions = 2 x 2 x 5 in
Therefore, the dimensions of the cup that minimize the construction cost are a 2 x 2 square base and height of 5 in
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which of the following functions has the same y-intercept
Answer:
B option is right.
Step-by-step explanation:
To find y intercept put x=0 From given equation in question.
y = 1/2x -2
put x = 0
y = -2
From B option x+4y = -8
put x=0 to find y intercept.
4y = -8
y = -2
Note: To find x intercept put y=0 and to find y intercept put x = 0.
A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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The first term of a geometric sequence is 5 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
Step-by-step explanation:
s1 = 5
s2 = s1 × -2 = 5×-2 = -10
s3 = s2 × -2 = -10 × -2 = 20
...
now, we could do all that manually.
but there is also a formula for geometric sequence.
in fact, there are 2 - one for finite and one for infinite sequences.
and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.
since we need the sum of the first 5 terms, which of the 2 do you think we need ?
of course, finite, because 5 is a normal number we can "touch". it is not infinity.
so, the formulas for finite sums of geometric sequences are :
if |r| < 1, Sn = a(1 - r^n)/(1 - r)
if |r| > 1, Sn = a(r^n - 1)/(r - 1)
if r = 1, Sn = na
if r = -1, then Sn = a or 0 depending on if n is odd or even.
the sequence is in general
s1 = a
sn = sn-1 × r
in our case a = 5, r = -2.
so, what form of the formula do we need ?
|-2| = 2, and 2 > 1, so ...
S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =
= 5 × 11 = 55
quick check, as the 5 terms are
5
-10
20
-40
80
and their sum is : 55
correct !
42. Arun and Vijay are partners in a firm sharing profit & loss in the ratio of 3: 2.
BALANCE SHEET (Extract)
Liabilities = ₹ 0
Assets = Machinery ₹ 2,00,000
If the value of machinery in the Balance Sheet is excess by 100/3%, find the value of machinery to be shown in the New Balance Sheet.
[Ans.: 1,50,000.)
Answer:
₹ 1,50,000
Step-by-step explanation:
You want to know the value of machinery to be shown if the value ₹ 2,00,000 is (100/3)% too high.
ValueThe value shown (₹ 2,00,000) is (100/3)% more than the actual value, so the relation is ...
₹ 2,00,000 = actual value + (100/3)% × actual value
₹ 2,00,000 = actual value · (1 +1/3)
Multiplying by 1/(1 +1/3), we have ...
actual value = (3/4)·(₹ 2,00,000) = ₹ 1,50,000
The value of machinery to be shown in the New Balance Sheet is ₹1,50,000.
__
Additional comment
(100/3)% = (100/3)/100 = 1/3
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A team of researchers is testing the effectiveness of a new HPV vaccine. They randomly divide the subjects into two groups.
Group 1 receives a placebo, and Group 2 receives new HPV vaccine.
The patients in the study do not know which group they are in.
Which is the treatment group?
Group 1
Group 2
Neither group
Correct
Answer:friends
Step-by-step explanation:
This morning sams car had 13.25 gallons of fuel now 1.9 gallons are left .how much fuel did Sam use
Answer:
11.35
Step-by-step explanation:
13.25
-
1.9
_____________
11.35
a. One week, Park Street's revenues were $7500, which was the 15th highest revenue recorded for that restaurant. In the same wook, Bridge Road's
revenue was $7100, the 12th highest for that restaurant Use percentiles and 7-scores to compare how successful each restaurant was that wook,
relative to their typical weekly revenue
Answer:
The percentile rank for Park Street's revenues this week is 60th.
The percentile rank for Bridge Road's revenues this week is 73rd.
Step-by-step explanation:
The missing information are as follows:
Variable N Mean SD
Park 36 6611 3580
Bridge 40 5989 1794
A z-score (aka, a standard score) specifies the number of standard deviations an observation is from the mean.
The formula to compute the z-score is, \(Z = \frac{(X - \mu)}{\sigma}\), where X = observation, µ = mean, σ = standard deviation.
Compute the z-score for Park Street's revenues, $7500 as follows:
\(Z_{p} = \frac{(X - \mu)}{\sigma}=\frac{7500-6611}{3580}=0.25\)
The z-score for Park Street's revenues this week is 0.25.
Compute the percentile rank for Park Street's revenues this week as follows:
\(P(Z<Z_{p})=P(Z<0.25)=0.5987\approx 0.60\ \text{or}\ 60\%\)
The percentile rank for Park Street's revenues this week is 60th.
This implies that the Park Street's performed better than 60% of the revenue recorded for the restaurant.
Compute the z-score for Bridge Road's revenues, $7100 as follows:
\(Z_{p} = \frac{(X - \mu)}{\sigma}=\frac{7100-5989}{1794}=0.62\)
The z-score for Bridge Road's revenues this week is 0.62.
Compute the percentile rank for Bridge Road's revenues this week as follows:
\(P(Z<Z_{b})=P(Z<0.62)=0.7324\approx 0.73\ \text{or}\ 73\%\)
The percentile rank for Bridge Road's revenues this week is 73rd.
This implies that the Bridge Road's performed better than 73% of the revenue recorded for the restaurant.