Answer:
open side up: 2%
closed side up: 10%
landing on side: 88%
Step-by-step explanation:
Jake tossed it 50 times, so to figure out probability it is easier to make the fraction over 100 so multiply the open side up by 2 the closed side up by 2 and the landing side up by 2 and make it over 100 then divide them.
Solve for the x in the diagram below. 50°, 2x°, and 150°
The value of x from the diagram is 50 degrees. Vertical angles are angles that meets at a point of intersection.
Vertical anglesVertical angles are angles that meets at a point of intersection. From the given diagram 150 and 50+2x are vertical angles showing that they are equal to each other. Hence;
50 + 2x = 150
2x = 150 - 50
2x = 100
Divide both sides by 2
2x/2 = 100/2
x = 50
Hence the value of x from the diagram is 50 degrees
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2.35=11x Equals What
Answer:
x=0.2136
Step-by-step explanation:
Answer:
x=0.214 rounded to the thousandths
Step-by-step explanation:
2.35=11x
divide each side by 11 to isolate the x
x=0.214 rounded to the thousandths
In June, Jasmine earned $1200 in commission. In July, her commission decreased by 7% Write an expression that can be used to find her commission in July.
Answer:
$1116
Step-by-step explanation:
HELP PLEASE ASAP 20 points
Answer:
Its d [tex]x^{2} -6x+7=0[/tex]
Step-by-step explanation:
A= [tex]2+\sqrt{3\\}[/tex]
B= [tex]3\sqrt{2}[/tex]
C= [tex]-3+\sqrt{2}[/tex]
Answer:
D. x^2 - 6x + 7 = 0.
Step-by-step explanation:
The roots are 3 plus or minus sqrt(2). That means the equation is...
(x - [3 + sqrt(2)]) * (x - [3 - sqrt(2)])
= [x - 3 - sqrt(2)] * [x - 3 + sqrt(2)]
= x^2 - 3x - xsqrt(2) - 3x + 9 + 3sqrt(2) + xsqrt(2) - 3sqrt(2) - (sqrt(2))^2
= x^2 - 3x - 3x + 9 - 2 - xsqrt(2) + xsqrt(2) + 3sqrt(2) - 3sqrt(2)
= x^2 - 6x + 7.
Hope this helps!
Find the slope of the line that passes through (1, 14) and (4,9)
Which two numbers in the points represent x values? Select both in the
list.
In any coordinate pair, the first number is the x-value and the second number is the y-value.
To find the slope, simply take the difference of the y values and divide by the difference in the x values: (14-9)/(1-4) is equal to -5/3.
The slope of the line that passes through (1, 14) and (4,9) is -5/3.
It is find the slope of the line.
what is slope?The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).
The slope is always calculated from the rise divided by the run. Typically, the equation is presented as:
m = Rise/Run
If you have two points, the points should be [tex]P_{1} (x_{1} ,y_{1} )[/tex] and [tex]P_{2} (x_{2} ,y_{2} )[/tex] So, the equation would be:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
In any coordinate pair, the first number is the x-value and the second number is the y-value.
The difference of the y values and divide by the difference in the x values:
m=(14-9)/(1-4) is equal to -5/3.
The slope of the line that passes through (1, 14) and (4,9) is -5/3.
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Question 8(Multiple Choice Worth 1 points) (07.01 MC) Find the measure of arc DF. Circle A with chords EF and CD that intersect at point G, the measure of arc EC is 5x plus 10 degrees, the measure of angle EGC is 70 degrees, and the measure of arc DF is 11x plus 2 degrees. 50° 90° 100° 140°
Answer: 90°
Step-by-step explanation:
As known ∡EGC=(arcEC+arcDF)/2
arcEC+arcDF=70°*2
5x+10+11x+2=140
16x+12=140
16x=128
x=128:16
x=8
So arcDF=11*x+2=11*8+2=90°
The measure of arc DF is 90°.
What is circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
Given, Circle A with chords EF and CD that intersect at point G,
arc EC = 5x + 10°
arc DF = 11x + 2°
∠EGC = 70°
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite
so
∠EGC=(1/2)[arc EC+arc DF]
substitute the values
70 = 1/2(5x + 10 + 11x + 2)
70 = 1/2(16x + 12)
140 = 16x + 12
16x = 128
x = 128/16 = 8
so ac DF = 11x + 2
arc DF = 11(8) + 2
arc DF= 88 + 2 = 90°
Hence the value of arc DF is 90°.
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The line passing through points
(4,0) and (-2, 1) has a slope of?
A. -6
B. -1/6
C. 1/2
D. 2
E. 1/6
Answer:
b. -1/6
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (1 - 0)/(-2 - 4) = 1/(-6) = -1/6
Answer:
m = -1/6 = B
Step-by-step explanation:
[tex]m = \frac{y_2-y_1}{x_2-x_1} \\ x_1=4\\ y_1=0\\ x_2=-2\\y_2=1.\\m = \frac{1-0}{-2-4} \\m = \frac{1}{-6}[/tex]
i will give 50 points and brainliest amd whatever u want pls its urgent PLS
Answer:
The answer to your question is 24 cm³
Step-by-step explanation:
Data
Initial volume = 2/5
Additional volume = 42 cm³
Final volume = 4/7
the total volume of the glass = ?
Process
1.- Write a proportion to help you solve the problem
42 cm³ -------------------- 4/7 of the total
x ------------------- 7/7
2.- Solve the proportion
x = (7/7 x 42) / 4/7
3.- Simplification
x = 42 / 4/7
x = 168/7
x = 24 cm³
Answer:
y = mx + c
since m = 0
c = 9
Step-by-step explanation:
y = mx + c
since m = 0
c = 9
SLOPE THESE DAYS
These are the weekly wages paid to staff in a hotel. £245 £140 £525 £163 £195 £174 £140 What is the range of these wages? £ What is the mean wage?
Answer:
Range of wages is £140 to £525.
Mean wage = £226
Step-by-step explanation:
Given:
Weekly wages paid to the staff are :
£245, £140, £525, £163, £195, £174 and £140.
To find:
Range of these wages = ?
Mean wage = ?
Solution:
First of all, let us learn about the range of wages and mean wage.
Range of wages has a minimum pay and a maximum pay.
Here, if we have a look £140 is the minimum pay and
£525 is the maximum pay.
So, range of wages is £140 to £525.
Mean wage means the average of all the wages given to the staff.
Mean is defined as the formula:
[tex]\text{Average/Mean =} \dfrac{\text{Sum of all the observations}}{\text{Number of observations}}[/tex]
Here, Sum of all observations mean sum of the wages of all the staff members.
Number of observations mean the number of staff members i.e. 7 here.
Applying the formula:
[tex]\text{Average/Mean =} \dfrac{\text{245+140+525+163+195+174+140}}{\text{7}} \\\Rightarrow \text{Average/Mean =} \dfrac{\text{1582}}{\text{7}}\\\Rightarrow \text{Average/Mean =} 226[/tex]
So, the answer is:
Range of wages is £140 to £525.
Mean wage = £226
A storage basin is 1240 ft by 637 ft. It’s 15.63 ft deep. How many gallons of water is in the basin
Answer:
12345824.4
Step-by-step explanation:
I'm not really sure. I just did 1240x637x15.63=12345824.4
answer:
53,445.1 gallons of water
Step-by-step explanation:
im not exactly sure but i looked up how to calculate gallons in a container and the website i went to told me to measure the interior length, width, and height which was already done, then it told me to multiply the length by width by height to get the volume of the container then it told me to divide the volume by 231 to get the number of gallons in the container, so 1,240* 637= 789,880* 15.63= 12,345,824.4÷231= 53,445.127272727272727272727272727 which rounded to the nearest tenth is 53,445.1, i honestly hope that this is right and that it helps
ASAP 300* POINTS PLUS BRAINLIEST!!! ONLY IF THE ANSWER IS CORRECT!!! What is the value of this expression when a = 3 and b = negative 2? (StartFraction 3 a Superscript negative 2 Baseline b Superscript 6 Baseline Over 2 a Superscript negative 1 Baseline b Superscript 5 Baseline EndFraction) squared? THERE ARE NO OPTIONS FOR THIS QUESTION MUST SHOW STEPS!!!
*/20, or 300/20.
Answer:
The value of this expression when a = 3 and b = -2 is -1.
Step-by-step explanation:
The expression is:
[tex]X=\frac{3a^{-2}b^{6}}{2a^{-1}b^{5}}[/tex]
Compute the value of X for a = 3 and b = -2 as follows:
[tex]X=\frac{3a^{-2}b^{6}}{2a^{-1}b^{5}}[/tex]
[tex]=\frac{3\cdot (3)^{-2}\cdot (-2)^{6}}{2\cdot (3)^{-1}\cdot (-2)^{5}}\\\\=\frac{(3^{-1})\times (-2)^{6}}{2\cdot (3^{-1})\cdot (-2)^{5}}\\\\=\frac{(-2)^{1}}{2}\\\\=-1[/tex]
Thus, the value of this expression when a = 3 and b = -2 is -1.
Can you draw the reflection Across the y-axis of the attached image.
Answer:
see graph
Step-by-step explanation:
A reflection across the y-axis means the point is equal but opposite distance from the y-axis. This has no change on the y-value of the point, because no matter the y-value, the point will still be the same distance from the y-axis. Long story short, if you're reflecting across the y-axis, change the sign of the x-coordinate. If you're reflecting across the x- axis, change the sign of the y-coordinate.
An infinite population has a standard deviation of 10. A random sample of 100 items from this population is selected. The sample mean is determined to be 60. At 80% confidence, the margin of error is
Answer:
1.28
Step-by-step explanation:
Margin of error is also called confidence interval, and it shows how much the results from sample reflects the characteristics of the larger population.
The following steps are used to calculate margin of error.
- obtain population standard deviation (σ) and sample size (n)
- divide standard deviation by square root of sample size
- multiply result by z score consistent with the given confidence. In this case confidence is 80% and z score for it is 1.28
Margin of error= z * (σ ÷ √n)
Margin of error = 1.28 * (10 ÷ √100)
Margin of error= 1.28 * (10 ÷ 10) = 1.28
if 176 dollars can be exchanged for the 140pounds and 1 pound is exchanged for RS 130 how many dollars can be exchanged for RS 2925
Answer:
Number of dollar = 28.28 (Approx)
Step-by-step explanation:
Given:
176 dollar = 140 pound
1 pound = Rs.130
Find:
Number of dollars in Rs 2925
Computation:
1 pound = Rs.130
Number of pound = 2925 / 130
Number of pound = 22.5 pound
1 pound = 176 / 140
Number of dollar = [176 / 140]22.5
Number of dollar = 28.28 (Approx)
Solve application problems using radical equations. Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 378 square feet. How long can a side of his patio be?
Answer:
3(sqrt42) ft
Step-by-step explanation:
If l is side length of square patio, then area of patio would be l^2.
l^2 = 378
l = sqrt378 = 3(sqrt42)
Find the perimeter and total area of the polygon shape shown below. All measurements are given in inches. Helps please !!!!
Answer:
perimeter = 56 in
area = 192 sq. in.
Step-by-step explanation:
area of a triangle = 0.5 * b * h
b = 12
h = 8
At = (0.5 * 12 * 8) = 48
Area of a square
As = 12 * 12 = 144
total area = At + As
total area = 48 + 144
total area = 192 sq. in.
perimeter = add all sides
12 + 12 + 12 + 10 + 10 = 56 in
hope it helps
A rectangle is to be inscribed in a right triangle having sides of length 6 in, 8 in, and 10 in. Find the dimensions of the rectangle with greatest area assuming the rectangle is positioned as in Figure 1. Figure1
Answer: width = 2.4 in, length = 5
Step-by-step explanation:
The max area of a right triangle is half the area of the original triangle.
Area of the triangle = (6 x 8)/2 = 24
--> area of rectangle = 24 ÷ 2 = 12
Next, let's find the dimensions.
The length is adjacent to the hypotenuse. Since we know the area is half, we should also know that the length will be half of the hypotenuse.
length = 10 ÷ 2 = 5
Use the area formula to find the width:
A = length x width
12 = 5 w
12/5 = w
2.4 = w
The dimensions of the rectangle with greatest area is length is 3 inch and the width is 4 inch.
Let the length and width of the rectangle be x and y.
Then Area of the rectangle = xy
Now, from the triangle we can conclude that
[tex]\frac{6-x}{y} =\frac{6}{8} \\y=8(\frac{6-x}{6} ).[/tex]
Put the value of y in Area we get
[tex]A(x)=x\frac{8}{6} (6-x)\\A(x)=\frac{8}{6}(6x-x^{2} )\\[/tex]
Differentiating it w.r.t x we get
[tex]A'(x)=\frac{8}{6}(6-2x )\\A''(x)=\frac{8}{6}(0-2 )\\A''(x)=\frac{-8}{3}[/tex]
Put A'(x)=0 for maximum /minimum value
[tex]A'(x)=0\\\frac{8}{6}(6-2x)=0\\x=3[/tex]
Now, [tex]A''(3)=-\frac{8}{3} <0[/tex]
Therefore the area of the rectangle is maximum for x=3 inch
Now,
[tex]y=\frac{8}{6} (6-3)\\y=4[/tex]
Thus the dimensions of the rectangle with greatest area is 3 inch by 4 inch.
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If the sum of the first n terms of an AP is 1/2 (3n^2+7n),then find its nth term.Hence write its 20th term.
Answer:
62
Step-by-step explanation:
Sn=1/2(3n^2+7n)
S1=1/2(3+7)=5
S2=1/2(3*4+7*2)=26/2=13
We know
S1=a1=5
S2=a1+a2=13
S2-s1=a1+a2-a1
13-5=a2
a2=8
We know d=a2-a1
d=8-5=3
nth term of AP =an=5+(n-1)3
an= 2+3n
Therefore 20th term =
a20= 2+3(20)=62
Hence 20th term of AP is 62
I hope this helps
Find the volume of the cylinder.
The approximate volume only applies when pi = 3.14
Use either answer, but not both of course.
===============================================
Work Shown:
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*8
V = pi*32
V = 32pi .... exact volume in terms of pi
V = 32*3.14
V = 100.48 .... approximate volume when we use pi = 3.14
Please answer this correctly without making mistakes
Please simplify the correct answer
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
Hillsboro: 700 houses sold
Lowell: 100 houses sold
700 + 100 = 800
Hillsboro and Lowell: 800 houses sold
Other: 600
800 + 600 = 1,400
Clay County: 1,400 houses sold
800/1,400 = 4/7
Hope this helped!! ٩(◕‿◕。)۶
Answer:
4/7
Step-by-step explanation:
Well first we need to find the total amount of houses sold in Clay County.
700 + 100 + 600
= 1,400
Now we need to find the total of houses sold in Lowell and Hillsboro.
700 + 100
= 800
Now we can make the fraction,
800/1400
and simplify
400/700
200/350
20/35
4/7
Thus,
the fraction of houses sold in Hillsboro and Lowell in Clay County is 4/7.
Hope this helps :)
aryn needs enough mulch to cover a rectangle flower bed measuring 2 1/4 yd by 3 1/2yd each bag cover 3 square yds and cost $4 how many bags does she need and how much money she need
Answer:
cars are dum
Step-by-step explanation:
Determine whether each red path in the vector field is positive, negative, or zero
If the path is perpendicular to the field it is zero.
If the path is along the field it is positive or negative depending on it's direction.
See the attached picture.
Country X (a developed country) currently has a per capita ecological footprint of 3.2 hectares, while country Y (a developing country) has a per capita ecological footprint of 0.6 hectare. If everybody in the world has an ecological footprint the size of the average footprint between these two countries and there are ~7 billion people on Earth, how many total hectares would be needed
Answer:
Total hectares needed = 13.3 billion hectares of ecological footprint.
Step-by-step explanation:
Country X's per capita ecological footprint = 3.2 hectares
Country Y's per capita ecological footprint = 0.6 hectares
Earth's population = 7 billion
Average footprint between the two nations = 1.9 (3.2 + 0.6) hectares
If everybody in the world (i.e. the earth's population) has an ecological footprint the size of the average footprint between these two countries, i.e. = 1.9 per capita of earth's population,
Therefore, the total hectares of ecological footprint needed will be equal to 7 billion x 1.9
= 13.3 billion hectares of ecological footprint.
Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 7 units. What are the coordinates of your position
Answer:
(4,0,-7)
Step-by-step explanation:
The initial position was (0,0,0) since it was the origin
Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)
The current position is thus;
(4,0,-7)
Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis
1). f(x) = 3x + 15 then what's f^-1(x)?
Answer:
Step-by-step explanation:
f(x)=3x+15
let f(x)=y
y=3x+15
flip x and y
x=3y+15
3y=x-15
y=1/3 x-5
or f^{-1}x=1/3 x-5
By rounding to one significant figure, estimate the answers to the question circled
Winston and Alice are taking a trip. Winston left at 8 am and traveled an average of 50 miles per hour. Alice left at 10 am and traveled an average of 70 miles per hour. At what time are they at the same place at the same time? Write a system of equation to represent this situation. Then use the substitution method with that system to determine at the time they will be in the same location. How many miles away from home will they be at that time?
Answer:
3 PM
350 miles
Step-by-step explanation:
Let's say t is the number of hours since 8 AM.
The distance traveled by Winston is:
w = 50t
The distance traveled by Alice is:
a = 70(t−2)
When w = a:
50t = 70(t−2)
50t = 70t − 140
140 = 20t
t = 7
Winston and Alice will be at the same place 7 hours after 8 AM, or 3 PM.
The distance they travel is 350 miles.
A ball is thrown straight down from the top of a 435-foot building with an initial velocity of -27 feet per second. Use the position function below for free-falling objects. s(t) = -16t^2 + v_0t + s_0 What is its velocity after 2 seconds? v(2) = -91 ft/s What is its velocity after falling 364 feet? v = 1.61 ft/s Find an equation of the parabola y = ax^2 + bx + c that passes through (0, 1) and is tangent to the line y = 5x - 5 at (1, 0). Y = 5x + 10
Answer:
a) The velocity of the ball after 2 seconds is -91 feet per second, b) The velocity of the ball after falling 364 feet is 155 feet per second, c) The equation of the parabola that passes through (0,1) and is tangent to the line y = 5x - 5 is [tex]y = 6\cdot x^{2}-7\cdot x +1[/tex].
Step-by-step explanation:
a) The velocity function is obtained after deriving the position function in time:
[tex]v (t) = -32\cdot t -27[/tex]
The velocity of the ball after 2 seconds is:
[tex]v(2\,s) = -32\cdot (2\,s) -27[/tex]
[tex]v(2\,s) = -91\,\frac{ft}{s}[/tex]
The velocity of the ball after 2 seconds is -91 feet per second.
b) The time of the ball after falling 364 feet is found after solving the position function as follows:
[tex]435\,ft - 364\,ft = -16\cdot t^{2}-27\cdot t + 435\,ft[/tex]
[tex]-16\cdot t^{2} - 27\cdot t + 364 = 0[/tex]
The solution of this second-grade polynomial is represented by two roots:
[tex]t_{1} = 4\,s[/tex] and [tex]t_{2} = -5.688\,s[/tex].
Only the first root is physically reasonable since time is a positive variable. Now, the velocity of the ball after falling 364 feet is:
[tex]v(4\,s) = -32\cdot (4\,s) - 27[/tex]
[tex]v(4\,s) = -155\,\frac{ft}{s}[/tex]
The velocity of the ball after falling 364 feet is 155 feet per second.
c) Let consider the equation for a second order polynomial that passes through (0, 1) and its first derivative that passes through (1, 0) and represents the give equation of the tangent line. That is to say:
Second-order polynomial evaluated at (0, 1)
[tex]c = 1[/tex]
Slope of the tangent line evaluated at (1, 0)
[tex]5 = 2\cdot a \cdot (1) + b[/tex]
[tex]2\cdot a + b = 5[/tex]
[tex]b = 5 - 2\cdot a[/tex]
Now, let evaluate the second order polynomial at (1, 0):
[tex]0 = a\cdot (1)^{2}+b\cdot (1) + c[/tex]
[tex]a + b + c = 0[/tex]
If [tex]c = 1[/tex] and [tex]b = 5 - 2\cdot a[/tex], then:
[tex]a + (5-2\cdot a) +1 = 0[/tex]
[tex]-a +6 = 0[/tex]
[tex]a = 6[/tex]
And the value of b is: ([tex]a = 6[/tex])
[tex]b = 5 - 2\cdot (6)[/tex]
[tex]b = -7[/tex]
The equation of the parabola that passes through (0,1) and is tangent to the line y = 5x - 5 is [tex]y = 6\cdot x^{2}-7\cdot x +1[/tex].
what is the solution to the system of equations?
y = 4x-10
y=2
A) (3,2)
B) (2,3)
C) (-2,2)
D) (2,-2)
Answer:
A) (3, 2)
Step-by-step explanation:
y = 4x - 10
y = 2
Substitute y with 2 in the first equation and solve for x.
y = 4x - 10
2 = 4x - 10
12 = 4x
3 = x
Solution: x = 3, y = 2
Answer: A) (3, 2)
An open box is to be made from a 5 ft by 9 ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.
Answer: 21 ft³
Step-by-step explanation:
Let x represent the height of the box.
Then the 5 ft width of cardboard is (5 - 2x) when creating the box
and the 9 ft length of cardboard is (9 - 2x) when creating the box.
Volume = length x width x height
= (9 - 2x)(5 - 2x)(x)
= 45x - 28x² + 4x³
Using Calculus to solve for x, set the derivative equal to zero and use the quadratic formula to solve for x:
V' = 45 - 56x + 12x²
0 = 12x² - 56x + 45
x = 3.6, x = 1.0
Use those values to find the width, length, and volume:
height(x) × width (5 - 2x) × length (9 - 2x) = Volume
3.63 × -2.26*
1 × 3 × 7 = 21
*width cannot be negative so the height cannot be 3.63