Answer:12
Step-by-step explanation:
8*4.5=36
36*2=72
72/6=12
Review the geometric sequence below and determine the pattern: 1/4, 1/2, 1, 2, 4, 8
Answer:
the nth term is 2^n-3 because we see that each number is being multiplied by 2
Point A is located at (0,4) and point c is located at (-3,5). Find the x value for the point B that is located 1/4 the distance from point A to point C
Answer: -3/4
Step-by-step explanation:
The total change in x from point A to point C is -3, so 1/4 of this is -3/4.
So, the answer is -3/4
Indicate the equation of the given line in standard form. Show all of your work for full credit.
The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).
Answer:
x -5y = -6
Step-by-step explanation:
A plot of the given points shows the hypotenuse is QR, and the vertex through which the altitude line goes is point P. We want a line through P that is perpendicular to QR.
__
form of the equationThe equation for a line perpendicular to the one through (x1, y1) and (x2, y2) can be written in the general form ...
(x2 -x1)(x -h) +(y2 -y1)(y -k) = 0
where (x, y) = (h, k) is a point on the line.
values filled inUsing points Q(3, 5) and R(5, -5) for the two points, and (h, k) = P(-1, 1), we have ...
(5 -3)(x -(-1)) +(-5-5)(y -1) = 0
2x +2 -10y +10 = 0 . . . . . . . . . eliminate parentheses
The standard-form equation will have mutually-prime coefficients and the constant on the right. Dividing by 2 and subtracting 6 gives ...
x -5y = -6
If you are given a 4% raise and inflation is 1%, you are.
Omaking 4% less
Omaking 4% more
making 3% less
making 3% more
The Given a set of numbers 12, 11,13,m,10 and b find the value of m if the mean is 12
Answer:
14
Step-by-step explanation:
mean= (12+11+13+10+m)/5
12/1=( 46+m)/5
12*5=46+m
60-46=m
m=14
What steps should be taken to complete the conversion?
Answer:
I dont know
Step-by-step explanation:
still dont know
Question content area top
Part 1
The circumference of the inner circle is 88 ft. The distance between the inner circle and the outer circle is 3 ft. By how many feet is the circumference of outer circle greater than the circumference of the inner circle? Use 22/7
for pi .
The circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
What is Circle?A circle is a round 2-dimensional shape. It is a closed shape with a distance from center to circumference termed as radius 'r' and distance from one point on the circumference to another point passing through center termed as diameter 'd'.
The circumference of the inner circle is 88 ft.
Circumference of a Circle = 2πr
2πr = 88
2 X 22/7 X r = 88
r = 88 X 7 / 44
r = 14 ft.
Radius of the inner circle = 14 feet
If the distance between the inner circle and the outer circle is 3 ft, the radius of the outer circle = 14+3 = 17 feet.
circumference of the outer Circle = 2πr
= 2 X 22/7 X 17
= 106.86 ft.
Difference in Circumference = 106.86 - 88 = 18.86 feet
Thus, the circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
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Gio plotted the following points on the coordinate plane below. R(-3.5,0), S(2.5,1.5), T(-4.5,-2.5), U(2.-3.5), V(-4,-3.5)
Answer:
point T only.
Step-by-step explanation:
for more info see the attachment.
Olaolu’s monthly salary is 604.18.He pays 10%as income tax per month.What is his monthly tax to the nearest naira
Answer:
₦60
Step-by-step explanation:
The amount of tax will be found by multiplying the tax rate by the amount being taxed.
__
The monthly tax is the tax rate times the monthly salary:
10% × ₦604.18 = ₦60.42
Olaolu's monthly tax is about ₦60.
Factor this polynomial expression.
X²-16
O A. (x+4)(x - 4)
○ B. (x-4)(x-4)
C. (x+16)(x-16)
O D. (x-16)(x-16)
Answer:
A
Step-by-step explanation:
Using the rule of (x+a)(x-a), you get x^2-a^2. we know that the square root of 16 is 4, so plug in 4 for a and you get (x+4)(x-4)
a. What is computer?
Answer:
Computer Is An Electronic Device.
Step-by-step explanation:
It Is A Electronicdevice Which Accept Inputs From the user and And display The Out Put.
multiply radicals please
Answer:
B
Step-by-step explanation:
[tex]~~~\left( \dfrac 1 3 \sqrt x - \dfrac 32 \sqrt y \right)^2\\\\\\=\left( \dfrac 13 \sqrt x \right)^2 + \left( \dfrac 32 \sqrt y \right)^2 - 2 \left(\dfrac 13 \sqrt x \right)\left( \dfrac 32 \sqrt y \right)\\\\\\=\dfrac 19 x+ \dfrac 94 y-\sqrt{xy}\\\\\\=\dfrac 19x - \sqrt{xy} + \dfrac 94 y[/tex]
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
-1 -5
0 -1
1 3
g(x) = 4x + 3
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to dete
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
A) The slopes of the two functions are the same.
B) g(x) has the greater y-intercept
Step-by-step explanation:
Part A - SlopesFunction f(x)
Choose two ordered pairs from the given table:
[tex]\textsf{let}\:(x_1,y_1)=(0,-1)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(1,3)[/tex]
[tex]\implies \sf \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-1)}{1-0}=4[/tex]
Function g(x)
g(x) = 4x - 3
Slope-intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Therefore, the slope of g(x) is 4
The slopes of the two functions are the same.
Part B - y-interceptsFunction f(x)
Substitute one of the ordered pairs and the found slope from part A into the point-slope form of a linear equation to find the function f(x):
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-(-1)=4(x-0)[/tex]
[tex]\implies y=4x-1[/tex]
Therefore, the y-intercept of f(x) is -1
Function g(x)
The y-intercept of g(x) is 3
Therefore, g(x) has the greater y-intercept as 3 > -1
Slope of f(x)
m=-1+5/0+1m=4/1m=4slope of g(x)
m=4Both have same slopes
Y intercept
f(x)=(0,-1)g(x)=3Hence g(x) has greater y intercept
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Placing the equation of the circle in standard-form, the correct statements are given as follows:
The radius of the circle is 3 units.The center of the circle lies on the x-axis.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is:
x² + y² - 2x - 8 = 0.
In standard-form:
x² - 2x + y² = 8
(x - 1)² + y² = 8 + 1²
(x - 1)² + y² = 9
Center of (1,0), on the x-axis, radius of 3, hence the correct statements are:
The radius of the circle is 3 units.The center of the circle lies on the x-axis.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.More can be learned about the equation of a circle at https://brainly.com/question/24307696
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After it is planted, a tree grows at a rate of 0.4 meters per year. After 3 years the tree is 1.7
meters tall. Write the equation in point-slope form that models the situation. Then, predict
the height of the tree after 8 years.
Multiple Choice Answers:
Oy- 3-0.4(x - 1.7); 5.52 meters
Oy- 1.7= 3(x-0.4); 24.5 meters
Oy- 0.4 1.7(x - 3); 8.9 meters
Oy- 1.7 = 0.4(x - 3); 3.7 meters
Answer:
1.7 = 3(x - 0.4)
Step-by-step explanation:
0.4 x 8 = 3.2
3(3.2 - 0.4) = 8.9 metres
The equation in point-slope form that models the situation is y - 1.7 = 0.4(x - 3) and the height of the tree after 8 years is 3.7 meters.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
The given situation can be expressed as the linear equation.
Equation in point slope form is,
y - y' = m (x - x')
where m is the slope and (x', y') is a point on the line.
Rate of the growth of the tree = 0.4 meters per year.
So, slope = 0.4
We have a point (3, 1.7).
Substituting to the point slope form,
y - 1.7 = 0.4(x - 3), which is the required form.
After 8 years,
y - 1.7 = 0.4(8 - 3)
y = 3.7 meters
Hence the equation is y - 1.7 = 0.4(x - 3) and the height of the tree after 8 years is 3.7 meters.
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what is sin 63°? Round your answer to the nearest hundredth
Answer:
0.891
Step-by-step explanation:
sin(63º) = 0.891006..... ≈ 0.89
Help! I have a hard time remembering how to do these
The statement that is true by the ASA postulate is: A. ΔCBA ≅ ΔDEA.
What is the ASA Postulate?The ASA postulate is a triangle congruence theorem which states that two triangles are congruent if they have two pairs of corresponding angles that are congruent and also have a pair of corresponding sides that are also congruent.
From the image given, we know that:
∠BCA ≅ ∠EDA
∠CBA ≅ ∠DEA [right angles]
BC ≅ ED [included sides]
Therefore, based on the ASA postulate, the statement that is true is: A. ΔCBA ≅ ΔDEA
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what is the radius of 22cm of a circle
Answer:
11 cm
Step-by-step explanation:
To find radius just divide diameter of 22 by 2. The answer will be 11.
Solve cos^2 (B) + 3cos(B) + 2 = 0 for
B, 0 < B < 360
Please help
Step-by-step explanation:
[tex] \cos {}^{2} (b) + 3 \cos(b) + 2 = 0[/tex]
[tex]( \cos(b) + 2)( \cos(b) + 1) = 0[/tex]
[tex] \cos(b) = - 2[/tex]
Cosine have a range of [-1,1] so b is undefined for the first factor
[tex] \cos(b) = - 1[/tex]
[tex]b = 180[/tex]
Find the volume of the cylinder.
Answer:
12π ≈ 37.7 cubic centimeters
Step-by-step explanation:
The volume of the cylinder can be found using the appropriate formula.
__
dimensionsThe cylinder is marked as having a diameter of 4 cm, and a height of 3 cm. The radius of the cylinder is half the diameter:
r = d/2
r = (4 cm)/2 = 2 cm
__
formula for volumeThe formula for the volume of a cylinder is ...
V = πr²h . . . . . . where r is the radius and h is the height
Using the dimensions given, we find the volume to be ...
V = π(2 cm)²(3 cm) = π(4 cm²)(3 cm) = 12π cm³
Written as a decimal, the volume is about ...
12π cm³ ≈ 37.70 cm³ . . . . volume of the cylinder
_____
Additional comment
You probably noticed that we used the units in the formula along with the numbers. Units abbreviations can be manipulated algebraically the same way any other variable can be:
x · x = x²
cm · cm = cm²
Computing the volume in more steps, we have ...
V = π(2 cm)²(3 cm)
= π(2 cm)(2 cm)(3 cm) . . . . expanding the square term
= π(2)(2)(3)(cm)(cm)(cm) . . . . we can rearrange the factors of a product
= π(12)(cm³)
= 12π cm³
In this question we are provided with the diameter of the cylinder and height of the cylinder. We are asked to calculate the volume of the cylinder. As we know that volume of a cylinder = πr²h units³. In this formula r stand for radius h stand for height but we are provided with the diameter. So, first we will find the radius of the cylinder and then we will find the volume of the cylinder.
Let us solve this problem.
We know,
[tex] \small\boxed{ \rm{ Radius = \dfrac{diameter}{2}}}[/tex]
Substituting the values we get
[tex] \small\sf{ Radius = \dfrac{4}{2} = 2 \: cm}[/tex]
Now we will calculate the volume
[tex] \small \boxed{\sf{ Volume_{(cylinder)} = πr²h}}[/tex]
Where,
r stand for radiush stand for height[tex] \small\bf{ Volume_{(cylinder)} = 3.14 × 2² × 3 }[/tex]
[tex] \small\rm Volume_{(cylinder)} = 3.14 × 2 \times 2× 3 [/tex]
[tex] \small\rm{ Volume_{(cylinder)} = 37.68 \: cm ³}[/tex]
Hence the volume is 37.68 cm³.What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
4.5
Step-by-step explanation:
since the square root of a^2+b^2=c^2 gives you your hypotenuse, you would use the square root of b^2-c^2=a^2 to find the missing leg.
What is the distance between the points M(-8,11) and N(3,7)?
[tex]\text{Given that,}\\\\(x_1,y_1) = (-8,11)~~\text{and}~~ (x_2,y_2) = (3,7)\\\\\text{Now,}\\\\\text{Distance,}~ d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{(3+8)^2 +(7-11)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{11^2 + (-4)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{121+16}\\\\~~~~~~~~~~~~~~~=\sqrt{137}\\\\~~~~~~~~~~~~~~~\approx 11.705~\text{units.}[/tex]
Answer:
11.7
Step-by-step explanation:
The distance formula is: D = [tex]\sqrt{(x_{2} - x_{1)^{2} } + (y_{2}-y_{1})^{2} }[/tex]
Take the coordinates of two points you want to find the distance between. Call one point Point 1 (x1,y1) and make the other Point 2 (x2,y2). It does not terribly matter which point is which, as long as you keep the labels (1 and 2) consistent throughout the problem.[1]
Find the coordinates of the point P(-9, - 7) after translating it 4 units right and 6 unit left.
Answer:
(-2, -8)
Step-by-step explanation:
The problem in the picture seems to be asking for 7 units right and 1 unit down.
Add 7 to x and subtract 1 from y
-9 + 7 = -2
-7 -1 = -8
A dairy farmer wants to mix a 85 % protein supplement and a standard 15 % protein ration to make 1400 pounds of a high-grade 55 %
protein ration. How many pounds of each should he use?
Answer:
1190lbs | 210lbs
Step-by-step explanation:
0.85*1400 = 1190 | protein supplement
0.15*1400 = 210 | standard protein ration
The length and width of a rectangular room are measured to be 3.95±0.05m and 3.05±0.05m, respectively. The area & premeter of the floor is
Perimeter is the sum of length of the sides used to made the given figure. The perimeter of the rectangle is 14±0.2 meters.
What is perimeter?Perimeter is the sum of length of the sides used to made the given figure.
The absolute area of the floor can be written as,
Area, A = 3.95m × 3.05m = 12.0475 m²
The Error in the area of the floor is,
(ΔA/A) = (Δl/l) + (ΔW/W)
(ΔA/12.0475) = (0.05/3.95) + (0.05/3.05)
ΔA = 0.35 m²
Hence, the area of the rectangular room is 12.0475±0.35 m².
The perimeter can be,
Maximum Perimeter = 2[(3.95+0.05)+(3.05+0.05)] = 14.2
Minimum Perimeter = 2[(3.95-0.05)+(3.05-0.05)] = 13.8
The Perimeter = [(14.2+13.8)/2 ± (14.2-13.8)/2 ] = 14±0.2 meters
Hence, the perimeter of the rectangle is 14±0.2 meters.
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The pendulum of an antique clock has been damaged and needs to be
replaced. If the original pendulum completed one swing every 1.5 seconds,
how long should the new pendulum be? Use the formula:
T = 27.
1980
OA. 351 centimeters
B. 55.9 centimeters
OC. 234.8 centimeters
OD. 0.25 centimeters
The length of the giving swinging pendulum is; B: 55.9 centimeters
How to find the length of a swinging pendulum?
The formula to find the period of a swinging pendulum is;
T = 2π√(L/g)
where;
T is period
L is length
g is acceleration due to gravity = 980 cm/s²
We are given;
T = 1.5 s
Thus;
1.5 = 2π√(L/980)
(1.5/2π)² = L/980
L = 980 * (1.5/2π)²
L = 980 * 0.057
L = 55.9 Centimeters
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Evan Williams earn $800 per week +3% of sales over $7500 in sales are $12,000 how much does Evan earn?
If he made a sales of 12000 dollars in a week her earning will be 1160 dollars
How to find Evan earning from his sales?He made a sales of 12000 dollars that week.
He earns 800 dollars per week plus 3% of sales.
Therefore,
3% of his sales = 3 / 100 × 12000 = 360 dollars
Therefore,
Her total earnings for that week = 800 + 360
Her total earnings for that week = 1160 dollars
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What is the difference between independent and dependent events
Book How to tame your dog
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Answer:
Independent events decide or controll dependant events.
Step-by-step explanation:
If an independent event changes, it causes the dependant to change. However if the dependant changes it does not affect the independent. Independent events are not controlled but controll others.
David bought a house for 150,000 in 2000. After 4 years it’s value increased to 190,000. Let x be the year since 2000, and y be the value of the house. Write an equation to estimate the value of the house.
Answer:
Choose the answer that matches what you are learning right now
Step-by-step explanation:
If it is a LINEAR increase in values:
150 000 + 10 000 x = value
If it is exponential, it is a bit more involved :
190 000 = 150 000 ( 1 + i)^4
19/15 = (1+i)^4 log both sides
i = 6.0878 % per year
the the value becomes
value = 150000 (1 +.060878)^x
Use calculus to find the first order conditions. Use solver then to solve the first order conditions. Show your work for the first order conditions and include the relevant portion of excel. f(x,y)=-22x^2+22xy-11y^2+110x-40y-23
The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.
What is the first-order condition in differential calculus?A first-order differential equation is represented by the equation [tex]\mathbf{ \dfrac{dy}{dx} =f (x,y) }[/tex]with 2 variables x & y, including its function f(x,y) specified on a xy-plane.
Given that:
[tex]\mathbf{f(x,y) =-22x^2+22xy-11y^2+110x-40y-23}[/tex]
Let us first differentiate the above equation with respect to x, we have:
[tex]\mathbf{\dfrac{\partial f(x,y) }{\partial x} = -44x +22y -0+110-0-0=0}[/tex]
[tex]\mathbf{\implies -44x +22y+110=0}[/tex] (multiply by -1)
44x - 22y = 110 ------ (equation 1)
Now, differentiating with respect to y, we have:
[tex]\mathbf{\dfrac{\partial f(x,y) }{\partial y} =0 +22x-22y +0-40-0=0}[/tex]
[tex]\mathbf{\implies 22x-22y -40=0}[/tex]
22x - 22y = 40 ----- (equation 2)
Now, we have a system of equations:
44x - 22y = 110
- ---- ( subtracting equation 2 from 1; elimination method)
22x - 22y = 40
22x + 0 = 70
x = 70/22
Replacing the value of x into equation (1), we have:
44x - 22y = 110
44(70/22) - 22y = 110
140 - 22y = 110
140 - 110 = 22y
30 = 22y
y = 30/22
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