Answer:
-5,0,1,2,3
Step-by-step explanation:
in a number line the negative numbers are always on your left hand side and as you head to the right they increase thus becoming positive integers
X<= -5 or x >= 3 which answer represents the inequality in interval notation
The inequality x ≤ -5 or x ≥ 3 in interval notations is (-∞, -5] ∪ [3, ∞)
Inequality is the relationship between two expressions or values that are not equal to each other
The inequality x ≤ -5 or x ≥ 3 represents the solution set of all real numbers less than or equal to -5 or greater than or equal to 3.
The interval notation of the given inequality is (-∞, -5] ∪ [3, ∞)
The closed brace means the number is included and open bracket doesnot includes a number
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please help asap i’m stuck
Answer:
10%
Step-by-step explanation:
P(reading paper 'given' that they are <40)
= P(reading paper AND < 40) / P(< 40)
= (4/80) / (40/80)
= 4/40
=1/10
=0.1
=10%
Calculator
Pyramid ABCDE is a square pyramid.
What is the lateral area of pyramid ABCDE?
URGENT
The lateral area of the pyramid is 512√3 in.
What is area?Area is the region bounded by plane shape.
To calculate the area of the pyramid, we use the formula below
Formula:
A = 8aL.................................... Equation 1Where:
A = Area of the pyramida = Length of the square baseL = Slight height of the PyramidFrom the question,
Given:
a = 16 inL = 8sin60° = 4√3 inSubstitute these value into equation 1
A = (8×16×4√3)A = 512√3 inHence, the right option is D. 512√3 in.
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At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. What is the probability that the light is red? Using the binomial distribution, what is the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light?
The Probability that exactly three out of the next eight eastbound cars that arrive randomly at the light will be stopped by a red light is approximately 0.268.
The probability that the light is red is given by the ratio of the time the light is red to the total cycle time:
P(red) = 15 / (15 + 5 + 30) = 0.375
Using the binomial distribution, the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light is:
P(X = 3) = (8 choose 3) * (0.375)^3 * (0.625)^5
where (8 choose 3) is the binomial coefficient, which represents the number of ways to choose 3 cars out of 8. Evaluating this expression gives:
P(X = 3) = (8 choose 3) * (0.375)^3 * (0.625)^5
= (8! / (3! * 5!)) * (0.375)^3 * (0.625)^5
= 56 * 0.052734375 * 0.1787109375
≈ 0.268
Therefore, the probability that exactly three out of the next eight eastbound cars that arrive randomly at the light will be stopped by a red light is approximately 0.268.
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The following figure is made of 1 rectangle and 2 triangles find the area of each part of the figure and the whole figure
The area of the rectangle is 32 square units, the area of each triangle is 6 square units, and the Total area is 44 square units.
1. The rectangle, which has a length of 8 units and a width of 4 units.
2. The two triangles, which are identical and have a base of 4 units and a height of 3 units.
To find the area of the rectangle, we can use the formula:
Area = Length x Width
Area = 8 x 4 = 32 square units
To find the area of each triangle, we can use the formula:
Area = 1/2 x Base x Height
Area = 1/2 x 4 x 3 = 6 square units
So, the total area of both triangles is:
Total area = 6 + 6 = 12 square units
Now, to find the total area of the figure, we can add the areas of the rectangle and the two triangles:
Total area = Area of rectangle + Total area of triangles
Total area = 32 + 12 = 44 square units
Therefore, the area of the rectangle is 32 square units, the area of each triangle is 6 square units, and the total area is 44 square units.
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need and answer and explanation
(6,7), (-3,7), (-3,2), (6,2) perimeter and area
Answer:
perimeter = 28 units. area = 45 square units.
Step-by-step explanation:
perimeter = (6 - -3) + (7 -2) + (6 - -3) + (7 - 2)
= 9 + 5 + 9 +5
= 28 units.
area = (6 - -3) X (7 -2)
= (6 + 3) X 5
= 9 X 5
= 45 square units
Check the picture below.
help me Find the base angles of the figure below.
A) 130°
B) 65°
C) 25°
D) 50°
Answer:
C) 25°
Step-by-step explanation:
You want the base angles in an isosceles triangle with vertex angle 130°.
Base anglesThe base angles of an isosceles triangle are congruent. If each is represented by 'b', then the sum of angles in the triangle is ...
2b +130° = 180°
2b = 50° . . . . . . . . subtract 130°
b = 25° . . . . . . . divide by 2
The base angles of the triangle are 25°, choice C.
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Help DUE TOMORROW !determine the amount of cardboard needed to make a box for a single slice of pizza. The box is in the shape of a triangular, prism as shown. Giving 88 points if correct answer
Answer:
148 in²
Step-by-step explanation:
The box is made up of two triangles and three rectangles. The formula for the rectangles is length times width. The formula for the triangles is one-half base times height.
RECTANGLES: (lxw)
7x2=14
12.5x2=25
12.5x2=25
TRIANGLES: (1/2bh)
1/2x12x7=42
1/2x12x7=42
Add together to get the sum of the surface area:
14+25+25+42+42=148 inches squared
Mr brainiac has found the Treasure Chest help him to get the code to open the chest the last digit is the half of 18 the sum of the two middle digit is 10 the third of and the fourth digit is the same the first digit is double the second digit what's the answer
A contradiction in the given clues and it is not possible to find a valid code with the given information.
The code to open the treasure chest can be determined using a few simple steps.
Firstly, we know that the last digit is half of 18, which is 9.
This means that the code ends with the number 9.
Next, we are given the information that the sum of the two middle digits is 10.
This tells us that the two middle digits must be 4 and 6, as they add up to 10.
Thirdly, we know that the third and fourth digits are the same.
Since we already know that the last digit is 9, this means that the third digit must also be 9.
Finally, we are told that the first digit is double the second digit.
Since we know that the second digit is 4, we can determine that the first digit must be 8.
Therefore, the code to open the treasure chest is 8469.
Mr Brainiac can now use this code to unlock the chest and discover the treasures inside.
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2 questions please answer both parts
A)Find the perimeter of the plot land
B) Find the area of the plot land without the building and parking lot.
The perimeter of the plot land is 78.49 units and the area of the plot land without the building and parking lot is 210 square units
Finding the perimeter of the plot landFrom the graph, the vertices of the land are
A = (0, 20), B = (25, 19), C = (20, 2) and D = (5, 0)
Calculate the distance between adjacent vertices
So, we have
AB = √[(0 - 25)² + (20 - 19)²] = 25.02
BC = √[(20 - 25)² + (2 - 19)²] = 17.72
DC = √[(20 - 5)² + (2 - 0)²] = 15.13
AD = √[(0 - 5)² + (20 - 0)²] = 20.62
The perimeter of the plot land is
P = 25.02 + 17.72 + 15.13 + 20.62
P = 78.49 units
Finding the area of the plot landThis is calculated as
Area = Plot land - Building - Parking lot
Using the vertices, we have
Area = 1/2 * |0 * 19 + 25 * 2 + 20 * 0 + 5 * 20 - (20 * 25 + 19 * 20 + 2 * 5 + 0 * 0)| - [1/2 *(15 - 7 + 17 - 7) * (15 - 10)] - [(18 - 10) * (10 - 5)]
This gives
Area = 295 - 45 - 40
So, we have
Area = 210
Hence, the area is 210 square units
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Practice A shuttle space suit, including the life support system, weighs about 310 pounds. The break in the y-axis represents the values from 0-300. What does each ordered pair on the line represent? 2. Write an equation to represent the relationship shown in the graph. 3. Is this a proportional relationship? Justify your answer. 4. In this problem situation, do all the points on the line make sense? Explain your reasoning. 5. Determine the weight of an astronaut without the shuttle suit given that the astronaut's weight while wearing the shuttle suit. a. 480 lb b. 467 lb c. 520 lb Weight of Astronaut With Suit (pounds)
Step-by-step explanation:
Each ordered pair on the line represents the weight of an astronaut with the shuttle space suit, given in pounds, and the total weight of the shuttle space suit and life support system, also given in pounds.
Let x represent the weight of the astronaut without the shuttle suit, and let y represent the weight of the astronaut with the shuttle suit and life support system. Then the equation for the relationship shown in the graph is: y = x + 310.
No, this is not a proportional relationship because the slope of the line is not constant. In a proportional relationship, the ratio of y to x would always be the same, but in this case, the ratio changes depending on the value of x.
No, not all the points on the line make sense in the context of the problem situation. For example, the point (0, 310) would represent an astronaut with no weight without the shuttle suit, which is not physically possible. Also, the point (480, 790) would represent an astronaut with a weight of 480 pounds without the suit, which is also not physically possible. Therefore, we need to restrict the domain of the equation to make sense in the context of the problem situation.
To determine the weight of an astronaut without the shuttle suit, we need to solve the equation y = x + 310 for x, given that y = 480. Substituting y = 480 into the equation, we get: 480 = x + 310. Solving for x, we get: x = 170. Therefore, the weight of the astronaut without the shuttle suit is 170 pounds.
Enter values to write the function that matches the graph shown.
Answer:
The roots of this function are at -4 and -1.
f(x) = (2x + 8)(-2x - 2)
= (2x + 8)(-2x + (-2))
 write a quadratic function that is three units write four units down and five times narrower then y=x squared
Answer:
y = 5(x - 3)^2 - 4 + c
Step-by-step explanation:
The standard form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants. To shift the graph three units to the right and four units down, we can modify the constant term c and the linear term bx:
y = a(x - 3)^2 - 4 + c
To make it five times narrower, we can modify the coefficient of the squared term a:
y = (1/5)a(x - 3)^2 - 4 + c
Since we want the shape to be the same as y = x^2, we can set a = 5:
y = 5(x - 3)^2 - 4 + c
The value of c will depend on the specific context of the problem or graph.
receiving a direct hit will take 15% of your health score if your health score is 24 and you receive a direct hit what will be your health score after the hit
Answer: 20.4
Step-by-step explanation:
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
A shaded right triangle uppercase C uppercase A uppercase B with side uppercase C uppercase A equals lowercase b, side uppercase A uppercase B equals lowercase c, and side uppercase C uppercase B equals lowercase a. Right angle is at uppercase A.
In this triangle, the product of sin B and tan C is , and the product of sin C and tan B is .
The product of sin B and tan C is c/a.
The product of sin C and tan B is b/a.
Given is a right triangle, ABC, we need to find the product of sin B and tan C and the product of sin C and tan B,
So, we know,
Sine = Opposite ÷ Hypotenuse.
Cosine = Adjacent ÷ Hypotenuse.
Tangent = Opposite ÷ Adjacent.
Therefore,
Sin B = b/a
Tan C = c/b
Sin B x Tan C = b/a x c/b = c/a
And,
Sin C = c/a
Tan B = b/c
Sin C x Tan B = c/a x b/c = b/a
Hence the products are c/a and b/a.
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The complete is attached.
The rule is y = |x| sketch the graphs for y+x and y = -x
Where the rules is is y = |x| the graph for y+x and y = -x will become the graph for y+x and y = x. Because x has to become an absolute (positive) value.
What is a graph?In discrete mathematics, and more particularly in graph theory, a graph is a structure consisting of a set of objects, some of which are "related" in some way.
Distances between locations are often measured using the absolute value function. The absolute value function can also be used to address applied issues such as ranges of feasible values.
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Find the new balance in each problem.
19. Your balance on May 20 was $189.75,
and you made a $112.45 deposit on
May 22. On May 29, you wrote a $75.68
check, and on June 1, you made an
ATM withdrawal of $50.00.
Answer:
To find the new balance, we'll start with the initial balance on May 20 and then perform the transactions in chronological order.
Step-by-step explanation:
Initial balance on May 20: $189.75
Deposit on May 22: +$112.45
To calculate the balance after the deposit, we add the deposit amount to the initial balance:
New balance after deposit = $189.75 + $112.45 = $302.20
Check written on May 29: -$75.68
To calculate the balance after writing the check, we subtract the check amount from the previous balance:
New balance after check = $302.20 - $75.68 = $226.52
ATM withdrawal on June 1: -$50.00
To calculate the final balance after the ATM withdrawal, we subtract the withdrawal amount from the previous balance:
Final balance after ATM withdrawal = $226.52 - $50.00 = $176.52
Therefore, the new balance after all the transactions is $176.52.
What is the probability either event will occur?
The probability that either event will occur is given as follows:
P(A or B) = 0.82 = 82%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of events in this problem is given as follows:
23 + 18 + 9 = 50.
The events are given as follows:
A = 23.B = 18.Hence the number of desired outcomes is given as follows:
23 + 18 = 41.
And the probability is of:
p = 41/50 = 0.82 = 82%.
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Factoring Polynomials Formative
QUESTION 1
Solve the following by factoring:
y³ - 6y² = 0
[tex]y^3 - 6y^2 = 0\\y^2(y-6)=0\\y^2=0 \vee y-6=0\\y=0 \vee y=6[/tex]
Question 11 of 30
Suppose that a regression line for some data transformed with logarithms
predicts that when x equals 3, log(y) will equal 2.725. What does the
regression line predict y will equal when x equals 3? Round your answer to the
nearest whole number.
A. 22,577
OB. 531
OC. 20
OD. 27
SUBMIT
The regression line predict y will equal 531 when x equals 3
How to solve the regression linelog(y) = 2.725
To undo the logarithm, we can use the exponential function:
y = 10^(2.725)
Using a calculator, we find:
y ≈ 530.8
We have to approximate this to 531
Rounding to the nearest whole number, the regression line predicts that y will equal 531 when x equals 3.
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Will give brainliest to whoever solves this properly, Please help me
The positions will be filled in 56,280 ways
How to find the number of waysThere are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows
For the position of president
11 combination 1 = 11
For the position of secretary
10 combination 1 = 10
For the position of treasurer
10 combination 1 = 10
For the position of three directors
8 combination 3 = 56 ways
the total number of ways to fill these positions is
11 x 10 x 9 x 56 = 56,280.
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please help me with my geometry i cant fail this class or i’ll have to move out of my parents house :(
The length of the arcs are calculated to the nearest hundredth as:
12. 14.03 meters 13. 6.91 meters
How to Find the Length of an Arc?The formula used to find the length of a an arc is: length of arc = ∅/360 * 2πr, where ∅ is the central angle measure and r is the radius of the circle.
Length of arc XW:
∅ = m<XZW = 180 - 113
∅ = 67 degrees
r = 24/2 = 12 meters
Plug in the values:
length of arc XW = 67/360 * 2 * π * 12 ≈ 14.03 meters
Length of arc XW:
∅ = m<YVU = 180 - 67 - 80
∅ = 33 degrees
r = 24/2 = 12 meters
Plug in the values:
length of arc YVU = 33/360 * 2 * π * 12 ≈ 6.91 meters
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Find the volume of the sphere show ur work it’s
Answer:
904.78 [tex]in^{3}[/tex]
Step-by-step explanation:
The volume formula for a sphere is the following:
[tex]v=\frac{4}{3} \pi r^{3}[/tex]
[tex]d = 2r[/tex]
Replace with values and the answer is 904.78
a) (i) 830 + 50 gives the same answer as x + 100
Work out the value of x.
X =
(ii) What is the value of 830 + 50?
A coach can take 50 people.
(iii) How many coaches would be needed to transport 830 people?
b) Jayne needs to hire 13 coaches.
Each coach costs £450 to hire.
Work out the total cost of hiring 13 coaches. £
Total marks: 6
The value of x is 780 and 830 + 50 equals 880
The number of coaches is 17 and the total cost is £5850
Calculating the value of x.From the question, we have the following parameters that can be used in our computation:
830 + 50 gives the same answer as x + 100
This means that
830 + 50 = x + 100
So, we have
x = 830 + 50 - 100
Evaluate
x = 780
Also, we have
830 + 50 = 880
So, the value of x is 780 and 830 + 50 equals 880
Calculating the number of coachesHere, we have
People = 830
People per coach = 50
So, we have
Coaches = 830/50
Evaluate
Coaches = 16.6
Approximate
Coaches = 17
The total cost of hiring 13 coaches is
Cost = 450 * 13
Evaluate
Cost = 5850
Hence, the number of coaches is 17 and the total cost is £5850
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
A. A pair of parallel lines
B. A point
OC. A pair of intersecting lines
OD. A single line
When a circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base, a pair of intersecting lines is formed.
How to know what is formed from a line intersecting a cone?
The right circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base.
This means the intersecting line forms a right angle with the base of the right circular cone.
Therefore, from this interaction is a pair of intersecting lines.
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you are given f(x) = x + 3 and g(x) = 2x + 1
find g[g(-3)
find f[g(x)]
find g[f(x)]
Answer:
Step-by-step explanation:
f(x) = x + 3
g(x) = 2x + 1
g(g(-3)) = g(-5) = -9
f(g(x) = f(2x + 1) = 2x + 1 + 3 = 2x + 4
g(f(x) = g(x + 3) = 2(x + 3) + 1 = 2x + 7
Which shows the equation of the line containing the point (3, -2) and having a slope of 2 in slope-intercept form
The equation of the line is y = 2x - 8.
The equation of a line in slope-intercept form (y = mx + b) is determined by the slope (m) and the y-intercept (b).
Given that the point (3, -2) lies on the line and the slope is 2, we can substitute these values into the slope-intercept form to find the y-intercept.
Using the point-slope formula:
y - y1 = m(x - x1)
Substituting (3, -2) and m = 2:
y - (-2) = 2(x - 3)
Simplifying:
y + 2 = 2x - 6
Rearranging to slope-intercept form:
y = 2x - 8
The equation of the line containing the point (3, -2) with a slope of 2 in slope-intercept form is y = 2x - 8.
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Which equation has infinitely many solutions?
O 2(3x - 10) = 6x + 20 Jhry
O 16 + 3x
-
3x + 16
O 4x10-2(-2x + 5)
O-7x +9 = 9x - 7
Answer:
it's is D
This is because equation 1 to 3 results in only a constant but D x will be 1
Answer: 4x - 10 = -2(-2x + 5)
Step-by-step explanation:
An equation has an infinitely many solutions when both sides are equal to each other.
-2(-2x+5) expands to become (-2*-2)*x + 5*(-2) = 4x - 10
Since the other side of the equation is also 4x - 10, both sides of the equation are identical and thus the equation has infinitely many solutions.
Find the length of the hypotenuse of the right triangle.
Answer:
The length of the hypotenuse is 100.
Step-by-step explanation:
To find the length of the hypotenuse, we use the following formula:
c=[tex]\sqrt{a^2+b^2}[/tex]
c=[tex]\sqrt{28^2+96^2}[/tex]
c=[tex]\sqrt{10,000}[/tex]
c=100
Therefore, the length of the hypotenuse is 100.
