Answer:
Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}
= 6
Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}
=4
P( A is besides C)= 4/6
= 2/3MARK ME AS BRAINLISTFind CD. Assume segments that appear to be tangent are tangent.
Answer: 5
Step-by-step explanation:
Expand and simplify 2(x+7)+3(x+1)
To solve this function, we must add like terms until there is nothing that we can add, multiply, subtract, divide, or simplify
[tex]2(x+7) +3(x+1) = 2x + 14 + 3x + 3 = 5x + 17[/tex]
Hope that helps!
write the number in word form 4,651.93
Answer:
Four thousand six hundred fifty one point nine three
17. Instructions: Use the ratio of a 45-45-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answer:
u = v = 14
Step-by-step explanation:
The ratios of side lengths in a 45-45-90 triangle are ...
1 : 1 : √2
Here, the long side is 14√2, so is 14 times this basic ratio.
1 : 1 : √2 = u : v : 14√2 = 14 : 14 : 14√2
This means ...
u = v = 14
Answer:
Below in bold.
Step-by-step explanation:
The ratio of the sides in a 45-45-90 are 1:1:√2.
so V / 14√2 = 1 / √2
V = 14√2 / √2 = 14.
and U = V = 14 also.
Draw a model of 1/2 divided by 4 please help yall
Answer:
1/8
Step-by-step explanation:
1/2 divided by 4 = 8 1/8ths
b) x2 - 2x - 3
I need help with factorising :/
I know that answer
..............please mark as brainliest
17) y=-2(x-3)^2+8
Vertex: ____
Y-intercept(plug-in 0): ____
18) y=4x^2-8x-5
a=__ b=__ c=__
1. Circle: Graph upwards/downwards
2.Vertical Axis of Symmetry
X=-b/2a
X=__
3.Vertx (plug in axis of symmetry):
4. Y-intercept (plug in 0):(0,_)
5. X-intercepts (Solve by any method):
X=__,__
6.Graph the equation below:
Answer:
17. vertex (3,8)
y intercepts = -10
18. a=4,b=-8,C=-5
1. graph downwards
2.x=1
3.vertex(1,-9)
4.y intercept = -5
5.x = -1/2 or X = 5/2
Complete the following sentence with the best phrase. A small P-value means:
A. The data provide strong evidence in favor of the null hypothesis
B. The data provide no evdence in favor of either hypothesis
C. The data provide little evidence in favor of the alternative hypothesis
D. The data provide strong evidence in favor of the alternative hypothesis
Answer:
d
Step-by-step explanation:
help me with this problem ASAP!
Answer:
24 boards
Step-by-step explanation:
The builder is building a fence with inches wide wooden boards, arranged side-by-side with no gaps.
If the fence is 150 inches long, then there will be a certain number of wooden boards required.
Now, 1 wooden board is equivalent to 6.25 inches.
Then the number of wooden boards required to cover 150 ft. will be
Answer:
24
Step-by-step explanation:
150/6.25 = 24. one unknown so divide to move 6.25 and you get the answer.
The cost of attending an amusement park is $15 for children and $35 for adults on a particular day the attendance at the amusement park is 25,000 attendees and the total money earned by the park is 600,000 use a given matrix equation to solve for the number of children tickets sold
The total number of children tickets sold on the particular day is; 13750.
What is the total number of children tickets sold?It follows from the task content that;
x + y = 25,00015x + 35y = 600,000On this note, it follows that the total number of children and adult tickets sold on that particular day is; x and y respectively.
Upon solving the equation simultaneously, x=13750.
Hence, the total number of children tickets sold is; 13750.
Read more on Simultaneous equations;
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Answer:
13,750
Step-by-step explanation:
Switch values a and d value a 1 and value d 35 and then after that make values b and c negative so turn value b 1 into -1 and turn value c 15 into -15 and then follow this method a×d-(-b)×(-c) so like this 1×35-(15)(1)= 35-15=20 and thats the determinant so then you do put it on a fraction below 1 so like this 1/20 times the top part of the matrix (35 -1 ) and the bottom part of the matrix (-15 1) so mulitply every value by 0.05 so we end up with the top part of the matrix (1.75 -0.05)
and the bottom part of the matrix (-0.75 0.05) and then we multiply them like this
1.75(25,000) + (-0.05)(600,000)= 43,750 - 30,000= 13,750
-0.75(25,000) + 0.05(600,000) = -18,750 + 30,000= 11,250
so the missing matrix is
(13,750 11,250)
so the number of childrens tickets sold is 13,750
4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?
Answer:
62.5 J
Step-by-step explanation:
Formula
Work = Force x Distance (Displacement)Given :
Force = 25 NDistance = 2.5 mSolving
Work = 25 x 2.5Work = 62.5 JThe work done with the given force and distance is 62.5 Newton meter.
What is time and work?The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
Given that, force = 25 N weight and distance = 2.5 meters
We know that, work = Force×Distance
Here, work = 25×2.5
= 62.5 Newton meter
Therefore, the work done is 62.5 Newton meter.
To learn more about the time and work visit:
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HELPPP WHATS THE PERMITER
Answer:
48 is the perimeter
Step-by-step explanation:
I gotchu
What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft
Answer:
48.5 ft
Step-by-step explanation:
Solve for m
[tex]n=\frac{4}{5} (m+7)[/tex]
[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]
You want to paint the four walls in your
bedroom. Each wall is 9
feet tall by 12 feet
wide. What is the total
area
What is the slope and y-Intercept of the equation on the graph?
Answer:
Slope: 3/2
Y-Intercept: 3
Step-by-step explanation:
The y-intercept is very easy to discover as it is just the Y coordinate when X is zero or "intercepts" the x axis. So if you look directly above the origin you see that the line has the point (0, 3).
The Y Intercept is 3
The slope is found using the slope formula of y2-y1/x2-x1
Lets take two points from the line. We have the (0, 3) point that I mentioned earlier and we can get the x-intercept of (-2, 0)
Lets Solve!
3- 0 = 3
0-(-2) = 2
3/2 is the slope
So the formula is Y = 3/2 + 3
In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
• A. 0.74
•
B. 0.12
• C. 0.26
• D. 0.48
Answer:
the answer is C. 0.26
Step-by-step explanation:
Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0
So you subtract 1.0 from 0.74 to get 0.26
The volume of a cone is 1,782 cubic centimeters. a cylinder has the same radius and height as the cone. what is the volume of the cylinder?
a.
3,564 cubic centimeters
b.
1,782 cubic centimeters
c.
594 cubic centimeters
d.
5,346 cubic centimeters
The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters
What is the Volume of a Cylinder?Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.
We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:
Volume of the cylinder = 3(1,782)
Volume of the cylinder = 5,346 cubic centimeters
Learn more about volume of cylinder on:
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Answer:
Step-by-step explanation:
The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters
What is the Volume of a Cylinder?
Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.
We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:
Volume of the cylinder = 3(1,782)
Volume of the cylinder = 5,346 cubic centimeters
Learn more about volume of cylinder on:
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Peter graphed two points given below on a coordinate plane.
(-6, 4), (3, 4)
What is the distance between the points?
Answer:
9
Step-by-step explanation:
Because the y-coordinates are the same but the x-coordinates are different so -6 to 3 would be 9 because -6 to 0 is 6 and 0 to 3 is 3 and 3 + 6 equals 9
Answer:
distance: 9 units
Explanation:
[tex]\sf distance \ between \ points \ : \ \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Here coordinates : (-6, 4), (3, 4)
substitute the following values and put into the equation
[tex]\sf \rightarrow \sqrt{(4-4)^2+(3-(-6))^2}[/tex]
[tex]\sf \rightarrow \sqrt{(3+6)^2}[/tex]
[tex]\sf \rightarrow \sqrt{81}[/tex]
[tex]\sf \rightarrow 9[/tex]
An employee at a veterinarian's office put
6.825 kilograms of cat food into serving
bowls. He put 0.065 kilogram into each
bowl.
How many bowls did the employee fill?
Answer:
105 Bowls
Step-by-step explanation:
6.825 ÷ 0.065 = 105 Bowls
Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Start out by simplifying the distributive property on the left hand side.
[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Combine like terms on the left hand side.
[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
Simplify the left hand side.
[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]
Subtract 2 both sides.
[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]
[tex]\implies-10 =\dfrac{-5x}{4}[/tex]
Use cross multiplication.
[tex]\implies-10 \times 4 =-5x[/tex]
[tex]\implies-40 =-5x[/tex]
Divide -5 both sides.
[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]
[tex]\implies 8=x[/tex]
Thus, the value of x is 8.
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]
Multiply both sides by 3:
[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]
Multiply both sides by 4:
[tex]\implies -8(x+12)+8x=-15x+24[/tex]
Expand brackets:
[tex]\implies -8x-96+8x=-15x+24[/tex]
Combine like terms:
[tex]\implies -96=-15x+24[/tex]
Add 15x to both sides:
[tex]\implies 15x-96=24[/tex]
Add 96 to both sides:
[tex]\implies 15x=120[/tex]
Divide both sides by 15:
[tex]\implies x=8[/tex]
Find the volume and surface area of this combined figure.
The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively
How to calculate the volume and surface area of composite shapesComposite shapes are the combination of two or more shapes combined together.
The composite shape given is made up of a hemisphere and a cone
Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)
Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)
Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³
Hence the volume of the composite shape is 575.6cm³
Calculate the surface area
Surface area = πr(r+l) + 3π r²
Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm
Hence the surface area of the composite figure is 518.1 square cm
15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answer:
x = 13√3
y = 13
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
In order to make the long sides match, we need to multiply these by 13:
1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26
Matching values, we find ...
x = 13√3
y = 13
Need this please, asap
Answer:
2√13
Step-by-step explanation:
15-9 to find a^2, 4 is b^2, and then pythagorean thereoum, a^2+b^2=c^2.
Answer:
Step-by-step explanation:
The base of the triangle used to solve for x (Pythagorean Theorem) is 15 - 9 = 7
The height of the right triangle is 4 so now you have enought to solve for x
Givens
a = 7
b = 4
c = x
Equation
x^2 = b^2 + a^2
Solution
x^2 = 7^2 + 4^2
x^2 = 49 + 16
x^2 = 65 Take the square root of both sides
√x^2 = √65
Answer x = √65
Isabella is calculating the interest earned on a deposit of $3,000 in an account that earns 4% compound interest after 6 years.
$3,000 in an account that earns 4% compound interest after 6 years.
solution:[tex]p = 3000[/tex]
[tex]r = 4[/tex]
[tex]t = 6years[/tex]
[tex]interest = \frac{prt}{100} [/tex]
[tex] = \frac{3000 \times 6 \times 4}{100} [/tex]
[tex] = 720[/tex]
therefore, $720 is the current amount of interest.
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answer:
the last answer is -1 :))))))
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
How to determine the length of the ladder?The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
Read more about right triangles at:
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18, 6, 2, ...
Find the 7th term.
Answer:
2/81
Step-by-step explanation:
Firstly find out the common ratio.
And then the general term.
And at last you can find any term(7th term in this case).
The 7th term of the sequence will be 13122.
What is a geometric sequence? What is a expression? What is a mathematical equation?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. The nth term of the sequence will be a[n] = arⁿ ⁻ ¹.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.We have the following sequence -
18, 6, 2 ...
The nth term of the geometric sequence will be a[n] = arⁿ ⁻ ¹.
a[7] = 18 x 3⁶
a[7] = 18 x 9 x 9 x 9
a[7] = 13122
Therefore, the 7th term of the sequence will be 13122.
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They are 1,236 oysters in a tub. If Lee gives Chris half of her oysters how many will remain in the tub?
Answer:
618
Step-by-step explanation:
half means you divide by 2.
so 1,236/2=618
hope this helps
Answer:
618 oysters
Step-by-step explanation:
Given :
1,236 oysters in a tubGives Chris half of her oystersSolving :
half refers to dividing the number of oysters by 2 or multiplying by 1/2⇒ 1,236 / 2⇒ 618 oysters remainPlease help with this question!!!
Of all the apartments in an apartment building, 20 percent are single bedroom apartments and 30 percent of the single bedroom apartments have balconies. If 28 single-bedroom apartments do not have balconies how many apartments are there in this apartment building?
Answer:
200
Step-by-step explanation:
Of the apartments in the building, 20% are singles and 70% of those do not have balconies.
That is, (0.20 × 0.70) = 0.14 of the building's apartments are singles without balconies. That is 28 apartments. If A is the number of apartments in the building, this means
0.14A = 28
A = 200 . . . . . divide by 0.14
There are 200 apartments in the building.
