Answer:
1) Arithmetic since it decreases by 3 so, -3n + 38.
2) Arithmetic since it decreases by 20 each time, so -20n+17
Step-by-step explanation:
There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?
Answer: 97/125
Step-by-step explanation:
10 10 x 10 10 x 10x10 x10
Answer:
Step-by-step explanation:
The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10
So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.
Cara brought $34.50 to the art supply store. she bought a brush, a sketchbook, and a paint set. the brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. cara had $2.00 left over after buying these items.
Using a system of equations, it is found that the cost of a paint set is of $19.50.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: cost of a paint set.Variable y: cost of a sketchbook.Variable z: cost of a brush.Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:
x + y + z = 32.50.
The sketchbook cost half the cost of the paint set, hence:
y = 0.5x.
The brush cost one third of the sketchbook, hence:
z = 0.3333(0.5x) = 0.1667x.
Then, to solve for x:
x + y + z = 32.50
x + 0.5x + 0.1667x = 32.50
x = 32.50/1.6667
x = 19.50.
The cost of a paint set is of $19.50.
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1 point
A rectangular room measures 13 feet by 16 feet. You want 1/3rd of it to turn into a new half bathroom. How much sq feet is left to the nearest whole sq foot?
A) 155 sqft
B) 188 sq ft
C) 139 sq ft
D) 88 sq ft
Answer:
D
Step-by-step explanation:
13x16=208
208/3= 69 reapeated.
Question Number 14 of 20 - Geometry The equation of line kis y = = 1 -X – 2. The equation of line m is -2x + 6y = 18. Lines k and m are - 3 F perpendicular G intersecting but not perpendicular H parallel I the same line
Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.
The condition for two parallel lines.In Geometry, two lines are considered to be parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
For two perpendicular lines, we have:
m₁m₂ = -1.
From line k, we have this equation:
y = 1/3x - 2
From line m, we have this equation:
-2x + 6y = 18.
6y = 18 + 2x
y = 18/6 + 2/6x
y = 1/3x + 3.
Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.
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If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°? cos x° = h divided by g cos x° = g divided by h cos x° = gh cos x° = 6g
The value of cos x⁰ from the information given is; g/h.
What is the value of cos x⁰?According to the task content;
The value of cos x° from the information contained in the task content is required.
From conventional Trigonometry;
It follows that tan x = sin x/cos x.
On this note, it follows that;
cos x⁰ = sin x⁰/tan x⁰.
cos x⁰ = 6/h ÷ 6/g
cos x⁰ = g/h
Ultimately, the value of Cos x⁰ by evaluation is g/h.
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Answer:
cos x° = g divided by h
Step-by-step explanation:
Which is the graph of f(x) = x^2 – 2x + 3?
Answer:
The first graph
Step-by-step explanation:
-2x is the key here, when you add a subtraction sign to the x-axis it goes right.
+2x would be the graph on the bottom because it is translated to the left.
So the first graph on your picture is the answer.
Answer+Step-by-step explanation:
x² – 2x + 3 = (x - 1)² + 2
Then
The vertex of the parabola is the point (1 , 2)
then
The graph number 1 (on top) is the one which represents f
Which equation represents the directrix? y = –3 y = 3 x = –3 x = 3
The equation that represents the directrix of y² = 12x is x = -3
How to determine the directrix?The parabola is given as:
y² = 12x
The general equation of a parabola is
(y-y₀)² = 4a(x-x₀)
Where the equation of the directrix is x = x₀ - a
By comparing (y-y₀)² = 4a(x-x₀) and y² = 12x, we have:
4a = 12 and x-x₀ = x
Solve for a in 4a = 12
a = 3
Solve for x₀ in x-x₀ = x
x₀ = 0
Substitute a = 3 and x₀ = 0 in x = x₀ - a
x = 0 - 3
Evaluate
x = -3
Hence, the equation that represents the directrix is x = -3
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please awnser quickly
Answer:
R' (- 1, 6 )
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
R (- 1, - 6 ) → R' (- 1, 6 )
Answer:
the answer should be (-1, -6) because remember when you are doing these kind of problems of pluging in the points in a coordinate plane remember the quadraunts to help you know everything you need in case of future problems.
So back remember first is x and then y so when we analyze the point the x is -1 and the y is -6 so the point r represnts= (-1,-6)
so hopefully that is the correct answer and have a great day.
remember first is x and then y
Step-by-step explanation:
PLEASE HELP! WILL GET BRAINLEST
Answer:
See below ~
Step-by-step explanation:
Question 12
Numbers greater than 3 : 5Total numbers : 8P (number > 3) = 5/8Multiply with 4005/8 x 4005 x 50250 timesQuestion 17
Part A
Possible outcomes = {HT, HH, TH, TT}Part B
P (heads at least once) = Outcomes with at least one "H" / TotalP (heads at least once) = 3/4Find the area of a circle with a radius of 9. Leave the answer in terms of π.
Answer:
A = 81π units²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = π × 9² = 81π units²
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
0.25π
Step-by-step explanation:
→ Expand the bracket
4 × cos²Ф = 2
→ Divide both sides by 2
cos²Ф = 0.5
→ Square root both sides
cos Ф = [tex]\frac{\sqrt{2} }{2}[/tex]
→ Inverse cosine [tex]\frac{\sqrt{2} }{2}[/tex]
cos⁻¹ ( [tex]\frac{\sqrt{2} }{2}[/tex] ) = 0.25π
Answer:
Answer:
0.25π
Step-by-step explanation:
→ Expand the bracket
4 × cos²Ф = 2
→ Divide both sides by 2
cos²Ф = 0.5
→ Square root both sides
cos Ф =
→ Inverse cosine
cos⁻¹ ( ) = 0.25π
Step-by-step explanation:
Which is the graph of y-3=-2/3(x+6)
Answer:
The first graph.
What fraction of a clock is represented if the hands are at the 12 and 3
Answer:
fraction :4
Step-by-step explanation:
> 4
Ansley ate 12 of a bag of popcorn. Erica
ate 12 of the same bag of popcorn. What
fraction of the bag of popcorn did Ansley
and Erica eat in all?
I will mark brainliest!!!
What is the slope?
A. 3/2
B. 1/2
C. 3/4
D. 2/3
Which of the following is a statistical question?
Select one:
How many of Mrs. Malone's students earned an A for the first nine weeks?
How many students missed question #5 on Mrs. Malone's math test yesterday?
How many of Mrs Malone's students turn in their homework each day?
the answer is b
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Answer:
See below for answers and explanation
Step-by-step explanation:
A statistical question has variability in collecting the data, and doesn't have one definitive answer:
Question 1: How many of Mrs. Malone's students earned an A for the first nine weeks? This is not a statistical question because you can narrow down exactly how many.
Question 2: How many students missed question #5 on Mrs. Malone's math test yesterday? This is not a statistical question because you can easily take all the worksheets done on the math test and find an exact number.
Question 3: How many of Mrs Malone's students turn in their homework each day? This is a statistical question because not every student will consistently turn in their homework each day, so there will be variability while collecting that data.
Hence, Question 3 is a statistical question
Match each cone to its corresponding volume imaged attached down below.
Answer:
Left side Right side
1 3
2 2
3 1
Step-by-step explanation:
left side on the picture right side on the picture
Does anybody know how to solve this?
The area of the rectangle in the form of a polynomial is 40(x² + 6x + 5). If the width is 160 ft, then the area of the rectangle is 57,600 square ft.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
If the length and width of the rectangle are (10x + 10) and (4x + 20). Then the area of the rectangle will be
Area = (10x + 10)(4x + 20)
Area = 40x² + 200x + 40x + 200
Area = 40x² + 240x + 200
Area = 40(x² + 6x + 5)
If the width is 160 feet then the value of x will be
4x + 20 = 160
4x = 140
x = 35
Then the area of the rectangle will be
Area = 40(35² + 6 × 35 + 5)
Area = 40(1225 + 210 + 5)
Area = 40 (1440)
Area = 57,600 square ft
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James is given the diagram below and asked to prove that ZD ZF. What
would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD
Answer:
C, ∠DEO ≅ ∠FEO
Step-by-step explanation:
The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.
This means the angle is divided into 2 equal angles.
⇒ ∠DEO ≅ ∠FEO
If f(x) = 2x + 7, find f(5)
Answer:
17
Step-by-step explanation:
f(x) = 2x+7
Let x =5
f(5) = 2*5 +7
= 10+7
= 17
What is the ratio of lines b : c if A is 77°
Answer:
3rd option
Step-by-step explanation:
the ratio of b : c is the cos77° , that is
cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.
HELP ASAP PLSSSSSSS
Clara surveyed the students at her school to find out if they like pies and/or sandwiches. The results of her survey are shown in the two-way table below:
Like Pies
Do Not Like Pies
Total
Like Sandwiches
25
43
68
Do Not Like Sandwiches
26
6
32
Total
51
49
100
If a student does not like sandwiches, what is the probability that student also does not like pies?
81.3%
26.0%
23.1%
18.8%
Answer:
18.8%
Step-by-step explanation:
For calculating this, focus on one part of the table :
The row where students do not like sandwichesThere are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :
P (does not like pies, do not like sandwiches) = 6/32P = 3/16P = 18.8%Students who don't like sandwiches also don't like pie is the 2 nd box on 2 nd line
Probability
P(E)=6/32P(E)=6/32×100=3/16×100=18.8%Option D
Type the correct answer in the box. Use numerals instead of words
In circle A. DB has a length 6.47 centimeters. What is m DAB in radians? Round your answer to two decimal places.
2.9 cm B m DAB= radians
I NEED HELP ASAP!
The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.
What is the Length of an Arc?Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.
Given the following:
Length of arc = 6.47 cm
Radius (r) = 2.9 cm
θ = m∠DAB
Plug in the values into the arc length formula:
6.47 = θ × 2.9
6.47/2.9 = θ
θ = 2.23 radians
m∠DAB = 2.23 radians
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Answer:
DAB = 2.23 radians
Hope this helps!
Step-by-step explanation:
Simplify 12 raised to 2/5 into 5 raised to 2/5
Answer:
60^2/5
Step-by-step explanation:
2^2/5 × 5^2/5
=(12×5)^2/5
=60^2/5
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}[/tex]
[tex]\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}[/tex]
[tex]\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}[/tex]
[tex]\huge\boxed{\approx}\huge\textsf{ 5.143521}[/tex]
[tex]\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Helppp!
The net of a solid figure is shown below:
Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 3 inches
Which calculation will give the total surface area of the solid figure?
3 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 ⋅ 3 square inches
3 ⋅ 6 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 square inches
Answer:
It's the the 4th one. 6.3.3
if a = 5+2√6 then find a²-1÷a²
Answer:
a²+1/a² = 7
Step-by-step explanation:
Given, a = (3+√5)/2
We have to find the value of a² + 1/a².
1/a = 1/((3+√5)/2) = 2/(3+√5)
By taking conjugate,
2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)
= 2(3-√5) / (3+√5)(3-√5)
By using algebraic identity,
(a - b)(a + b) = a² - b²
(3+√5)(3-√5) = (3)² - (√5)²
= 9 - 5
= 4
2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4
So, 1/a = (3-√5)/2
Now, a² = [(3+√5)/2]²
= (3+√5)²/4
By using algebraic identity,
(a + b)² = a² + 2ab + b²
(3+√5)² = (3)² + 2(3)(√5) + (√5)²
= 9 + 6√5 + 5
= 14 + 6√5
a² = (14+6√5)/4
= 2(7+3√5)/4
a² = (7+3√5)/2
Now, 1/a² = [(3-√5)/2]²
= (3-√5)²/4
By using algebraic identity,
(a - b)² = a² - 2ab + b²
(3-√5)² = (3)² - 2(3)(√5) + (√5)²
= 9 - 6√5 + 5
= 14 - 6√5
1/a² = (14-6√5)/4
1/a² = (7-3√5)/2
a²+1/a² = (7+3√5)/2 + (7-3√5)/2
= 7/2 + 3√5/2 + 7/2 - 3√5/2
= 7/2 + 7/2
= 7
Therefore, a²+1/a² = 7
A loaf of bread and 4 scones cost £3.30. If the loaf costs 90 pence how much would one scone cost ? .
Answer:
Step-by-step explanation:
Givens
4 scones
1 loaf of bread
Total cost = 3.30
Equation
Let the loaf of bread = b
Let the scones = s
Cost = b + 4s
Solution
Substitute the givens into the equation
b + 4s = Cost
90 + 4s = 3.30 Subtract 90 from both sides
90-90 + 4s = 3.30-90 Combine
4s = 2.40 Divide by 4
4s/4 = 2.40/4
s = 0.6 of a pound
Answer: 1 scone = 60 pence.
Compared to if she had bought no items on sale, by what percent was jan’s total grocery bill discounted? round to two decimal places. a. 15.85% b. 16.50% c. 16.65% d. 17.50%
The total percentage by which Jan's groceries were discounted is 16.65% approximately. (Option C). See the attached and the explanation below.
How was the total percentage discount arrived at?Step 1 - Reverse engineer, the figures to get the original prices first.
You can do this by dividing the discounted prices by the result that you get when you remove the decimal version of the discounted percentage from number one. For Chicken that would be 8.47/(1-0.85) = $9.96 (Original price.)Step 2 - Sum up all the discounted prices as well as the Original prices then find the difference.
This comes to 22.47 - 18.72 = $3.75Step 3 - Divide the difference by the original price to get the percentage difference
$3.75/$22.47 = 16.68% (Nearest answer is Option C)
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Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths
Answer:
A
Step-by-step explanation: