Answer:
1) rise=4
run=6
slope=4/6 simplifies to ⅔ and make sure you put a negative sign because the gradient is decreasing so -⅔
2) rise=0
run=6
slope=0/6 or no slope because there's no increase or decrease.
3) rise=7
run=0
slope is 7/0 or undefined.
4) rise=4
run=8
slope is 4/8 which simplifies to ½ and negative sign because gradient is decreasing so -½
5) rise=6
run=3
slope is 6/3 or 2, stays positive because its increasing in the gradient.
6) slope is 1
7) slope is 2.5
8) slope is -⅓
Q8. How many triangles are there in the figure?
Answer:
I don't know there's no figure
Step-by-step explanation:
I don't have any clue is the answer because their is no figure so stop being umb and show me the pic lo ser
Which is the graph of a function and it’s inverse? THE ANSWER IS NOT D. Please help I’ll mark brainliest!
Find the distance between the points (4,-3) and (5,1)
Distance =
Answer:
d = sqrt(17)
Step-by-step explanation:
d = sqrt( x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (4 - 5)^2 + (-3 - 1)^2 )
d = sqrt( (-1)^2 + (-4)^2 )
d = sqrt ( 1 + 16)
d = sqrt(17)
Un camión va cargado con 3796 kg de patatas. En una frutería descarga 6 sacos de 50 kg cada uno. ¿ Cuanto pesa ahora la carga del camión?
The current weight of the truck is given as follows:
3496 kg.
How to obtain the current weight of the truck?The current weight of the truck is obtained applying the proportions in the context of the problem.
The initial weight of the truck is given as follows:
3796 kg.
The weight removed from the truck is given as follows:
6 x 50 = 300 kg.
Hence the current weight of the truck is given as follows:
3796 - 300 = 3496 kg.
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8. What is the value of x?
Answer:
I believe that x is equal to 10
Step-by-step explanation:
Alan had 9 fish and bought some more.
Answer: I need to know how many more fish she bought, First. Reply as fast as you can please
Answer: is 9+y
Step-by-step explanation: y number of new fish
The total of the fish is 9+y.
I NEED AN ANSWER!! PLEASE
Solve for x: 5(x + 3) = 4(x − 3) (1 point) −18 −27 −3 −6
Answer:
\(-27\)
Step-by-step explanation:
\(5(x+3)=4(x-3) \\ \\ 5x+15=4x-12 \\ \\ x+15=-12 \\ \\ x=-27\)
PLEASE ONLY ANSWER IF YOU'RE CORRECT!!
:)
Answer:
1 is multiplication
2 is addition
3 is simplification
4 is division
5 is simplification
Step-by-step explanation:
Find a fraction that, when multiplied by 1/3, is less than 2/7. Justify your answer.
Step-by-step explanation:
\(x < \frac{6}{7} \)
All the fractions which less than (6/7) will be true
The steps of the solution in the above photo
I hope that is useful for you :)
Answer:
1/2 times 1/3
Step-by-step explanation:
Multiply them and you get 1/6 which is less than 2/7.
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Please help me with this.
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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Select the correct answer
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
Ο Α.
OB.
neither a relation nor a function
both a relation and a function
O C. function only
O D. relation only
22 Edmentum. All rights reserved.
y = 3x²9x + 20
Reset
Next
M
The given equation 3x² + 9x + 20 represents a function. it can be expressed as f(x) = 3x²9x + 20.
Describe a function.A function is a relationship between a number of inputs and outputs. Simply described, a function is an association between inputs where each input is linked to exactly one output. There is a range, codomain, and domain for every function. A function is typically referred to as f(x), where x is the input.
What are the four separate functions?The classification of various types of functions may be done using four primary categories. All functions are based on the element: one to one, many to one, onto, one to one, and into.
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PLEASE HELP
Which of the following correctly demonstrates how to factor r^2-s^2
2(r-s)
(r-s)^2
(r+q)(r+s)
(r-s)(r+s)
Answer:
the answers is D (r-s)(r+s)
A book with 53 pages numbered 1 to 53 has its pages renumbered in reverse, from 53 to 1. For how many pages do the new page number and old page number share the same units digit?
Answer:
Page number 27 is the one whose order has not changed
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Each page is assigned two numbers. We can generalize the numbers assigned to page x to be the pair x and 54-x for 1 ≤ x ≤ 53. That is, if x = 1, then we can see that page number one is assigned the numbers 1 and 54-1 = 53. It is fairly easy to see that the unit digits of x and 54-x will only be the same if x has a unit digit of 2 or a unit digit of 7. Thus, we simply must count how many such x there are between 1 and 54. Possibilities for x are 2, 7, 12, 17, 22, 27, 32, 37, 42, 47, and 52. Therefore, there are 11 such pages. (Got from AoPS Alcumus Problems)
A factory made 2400 tools in 30 days.how many tools did it make in one day
Answer:
80 tools in one day
Step-by-step explanation:
30 = 2400
÷ 30
1 = 80
plss help me bro :((
Answer:
8√6 is equivalent to 4√8 × √3
Step-by-step explanation:
Simplify the radical
Hope this helps!!
if the mean of x,x+3,x-5,2x and 3x then find the value of x
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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Laws of Exponents, urgent please need the answers right away, thank you!!
solve it both and show the step by step!
The values of the expressions are;
z³³
d⁻¹⁶
How to simply the exponentsNote that index forms are described as forms used in the representation of numbers or variables too large or small.
Some rules of index forms are;
Add the exponents when multiplying like basesSubtract the exponents when dividing like basesThen, from the information given, we have that;
(z⁻⁴/z⁶ × z⁵/z⁻⁶)⁻¹¹
Subtract the exponents, we have;
(z⁻² × z⁻¹)⁻¹¹
expand the bracket
z²² ⁺ ¹¹
z³³
(d⁴)⁻³/(d⁶)⁻² ÷ (d⁴/d⁶)⁻⁸
expand the brackets
d⁻¹²/d¹² ÷ (d⁻²)⁻⁸
subtract the exponents
d⁰ ÷ d¹⁶
d⁻¹⁶
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Bob buys eggs and potatoes at a store he pays $25.92 total he pays $2.57 for the eggs. He buys five bags of potatoes that each cost the same amount which equation can be used to determine the cost of X of each bag of potatoes.
Almonds are sold in 8-ounce and 20-ounce packages. What is the least number of ounces you can buy of each package to have equal amounts of each package size?
The least number of ounces you can buy of each package to have equal amounts of each package size is ounces
Answer:
40
Step-by-step explanation:
\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)
Given: tangent to Circle O.
If m = 140°, then A =
The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Join the points B and O and then join points D and O
Angle A = (1/2)Angle BOD
Angle B = 140 degrees
Angle A = (1/2)140 degrees
Angle A = 70 degrees
Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.
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In 2005, the price of a guitar was $246. By 2008, the price had increased to $300. Assuming that the guitar's price increases linearly. What is the price of the guitar by 2011?
Considering the expression of a line, the price of the guitar in 2011 is $354.
Definition of linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points, the value of the ordinate to the origin b can be obtained.
Equation in this caseBeing:
Price= m× Year + b(x₁, y₁)= (2005, 246)(x₂, y₂)= (2008, 300)the slope can be calculated as:
m= (300 - 246)÷ (2008 - 2005)
m= 54÷ 3
m= 18
Considering point 2 and the slope m, you obtain:
300= 18×2008 + b
300= 36,144 + b
300- 36,144 = b
-35,844 = b
Finally, the equation of the line is Price= 18×Year - 35,844
Now, you want to know the price of the guitar in 2011. Replacing in the linear equation, you get:
Price= 18×2011 - 35,844
Solving:
Price= 36,198- 35,844
Price= 354
In summary, the price of the guitar by 2011 is $354.
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What percentage of growth is needed annually to reach 400,000 in 3 years if today I have 200,000
Answer:
approx 26%
Step-by-step explanation:
you try find the multiplier
200000 * 1. ???? ^3= 400000
rearrange equation
\(\sqrt[3]{\frac{400000}{200000} }\) = multiplier
1.25992105
subract one
0.25992105
multiply by 100 to get percentage
25.9%
rounded to whole number = 26%
Mary is planning to survey a sample of women to find out how much money the average woman spent on lipstick last year. What sample size will she need, if she wants to be 95% confident that her sample mean is no more than $4 away from the population mean, and assuming a standard deviation of $20? A. 100
Answer: The required sample size = 97
Step-by-step explanation:
If prior population standard deviation is known, then the minimum sample size can be computed as:
\(n=(\frac{z^*\times\sigma}{E})^2\)
,where z* = critical z-value
\(\sigma\) = population standard deviation
E = Margin of error
As per given,
\(\sigma=20,\ E= 4\)
Critical value for 95% confidence = 1.96
\(n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97\)
Hence, the required sample size = 97
please help me I will give u brainiest
Answer:
l + l + w + w
Step-by-step explanation:
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
Let x represent the number of water bottles and y represent
the number of pairs of socks that Malia buys.
Use the graph to determine if Malia can buy 75 water bottles
and 100 pairs of socks. Explain.
Malia can't buy 75 water bottles and 100 pairs of socks because it is not a solution to the system.
System of Inequalities:
The term "system of inequalities" refers to a collection of two or more disparities in one or more variables. When a problem demands a variety of solutions and those solutions must satisfy many constraints, systems of inequalities are used.
Now in the given question,
Here we have a graph of inequalities, and we just need to see if the pair (75, 100) is a solution.
The solutions of the system are all the points in the intersection of the two shaded areas (in this case are all the points in the green area)
Now, clearly the point (75, 100) is not a solution
Even if you evaluate that in the first inequality:
x + y ≥ 200
we get:
75 + 100 ≥ 200
175 ≥ 200
which is false.
So no, Malia can't buy 75 water bottles and 100 pairs of socks.
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the surface area of the sphere is 105 square inches what is the volume of the sphere use 3.14 for pi
Answer:
The volume of the sphere is \(V\approx101.212 \:in^3\).
Step-by-step explanation:
A sphere is a 3-D figure in which all of the points in a plane are the same distance from a given point, the center of the sphere.
A sphere with radius r has a volume of
\(V=\frac{4}{3} \pi r^3\)
and a surface area of
\(S=4\pi r^2\)
To find the volume of the sphere we use the fact that the surface area of the sphere is 105 \(in^2\) and we use it to find the radius.
\(105=4\pi r^2\\\\4\left(\pi \right)r^2=105\\\\r^2=\frac{105}{4\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{105}{4\pi }},\:r=-\sqrt{\frac{105}{4\pi }}\)
The radius cannot be negative. Therefore,
\(r=\sqrt{\frac{105}{4\pi }}=\frac{\sqrt{105}\sqrt{\pi }}{2\pi }\approx 2.891 \:in\)
Now, that we know the radius we can find the volume
\(V=\frac{4}{3} \pi (2.891)^3=\frac{96.65053\dots \pi }{3}=\frac{303.63661\dots }{3}\approx101.212 \:in^3\)
Please can anybody help me with this? A card is randomly selected from a standard 52-card deck. What is the probability of picking a club OR a face card? Answer needs to be in decimal form rounded to two decimal places.
Answer:
0.42
Step-by-step explanation:
To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).
There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.
There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.
However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.
Therefore, the probability of picking a club OR a face card is:
0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).
So the answer is 0.42.
Students are in a class. 16 are civil engineering (CE) majors, 7 are computer science majors (CS), 10 are business majors (B), 6 are math majors (M), 2 are English majors (E), and 4 are animal science majors (AS). If you randomly select 8 students from the class without replacement and without regard to order, give the number of ways the following events could occur.
a) Exactly 4 of the students are CS majors
b) 2 E, 3 CE, 1 AS, 1 M, 1 CS
Answer:
a) Exactly 4 of the students are CS majors - 2583525
b) 2 E, 3 CE, 1 AS, 1 M, 1 CS - 94080
Step-by-step explanation:
1) In total 8 students need to be selected out of total 45 students
4 need to be selected from CS stream and the other 4 will be selected from the remaining 38 student.
Probability of selecting 4 CS students = \(^7C_4\)
Probability of selecting 4 more students from 38 students \(=^{38}C_4\)
Probability of having exactly 4 of the students from CS majors
\(^7C_4\) * \(^{38}C_4\)
\(35 * 73815\\= 2583525\)
2) ) 2 E, 3 CE, 1 AS, 1 M, 1 CS
\(^2C_2 * ^{16}C_3* ^4C_1* ^6C_1 * ^7C_1\\= 560 * 4* 6* 7\\= 94080\)