Answer:
67
Step-by-step explanation:
she picked 67 because if you take how many she had at the end and subtract it from the starting number it gives you 67
Find t and the terminal point determined by t for each point in the figure, where t is increasing in increments of /4.
The missing coordinates are listed below:
(x₁, y₁) = (0, 1)(x₂, y₂) = (- √2 /2, √2 /2)(x₃, y₃) = (- 1, 0)(x₄, y₄) = (- √2 /2, - √2 /2)(x₅, y₅) = (0, - 1)(x₆, y₆) = (- √2 /2, √2 /2)(x₇, y₇) = (1, 0)How to determine the location a terminal point in a unit circleAccording to the polar coordinate system, a vector in standard position is defined by this parametric formula:
(x, y) = (r · cos t, r · sin t), where t is in radians.
If we assume that r = 1, then we proceed to determine the location of the seven points remaining:
(x₁, y₁) = (cos π/2, sin π/2)
(x₁, y₁) = (0, 1)
(x₂, y₂) = (cos 3π/4, sin 3π/4)
(x₂, y₂) = (- √2 /2, √2 /2)
(x₃, y₃) = (cos π, sin π)
(x₃, y₃) = (- 1, 0)
(x₄, y₄) = (cos 5π/4, sin 5π/4)
(x₄, y₄) = (- √2 /2, - √2 /2)
(x₅, y₅) = (cos 3π/2, sin 3π/2)
(x₅, y₅) = (0, - 1)
(x₆, y₆) = (cos 7π/4, sin 7π/4)
(x₆, y₆) = (- √2 /2, √2 /2)
(x₇, y₇) = (cos 2π, sin 2π)
(x₇, y₇) = (1, 0)
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A shop has this offer.
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
At the shop, shirts cost £49 each.
Tim buys 3 shirts
Craig buys 5 shirts
How much more than Tim does Craig pay?
Optional working
Answer: £
Elena cuts out a rectangle that has a perimeter of 156 inches and a length of 56 inches. She cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new ractangle?
answer: 200, 2 hundred, two hundred
Luther High School's basketball coach won a record 33 out of 42 games how many games must the team win in the next 28 games for the coach to maintain to the ratio of wins to losses?
Using proportions, they must win 22 games to maintain to the ratio of wins to losses.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the next 28 games, we have that:
The team will have won 33 + x games.The team will have played 42 + 28 = 70 games.To keep the same proportion, we have that:
[tex]\frac{33}{42} = \frac{33 + x}{70}[/tex]
Applying cross multiplication:
42(33 + x) = 33 x 70
Simplifying by 14:
3(33 + x) = 33 x 5
3x = 33 x 5 - 33 x 3
3x = 33 x 2
3x = 66
x = 66/3
x = 22.
They must win 22 games to maintain to the ratio of wins to losses.
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Write each equation in Slope-Intercept Form, if possible. Identify the slope and
y-intercept if they exist. Can you leave a detailed explanation please. Thank you
6x − 4y = 24
Answer:
slope intercept form: y = mx + b
6x - 4y = 24
4y = 6x - 24
y = 3/2x - 6
slope: 3/2
y intercept: - 6
Answer:
y = 3/2 x -6
The slope is 3/2 and the y intercept is -6
Step-by-step explanation:
6x-4y = 24
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
We need to solve the equation for y
6x-4y =24
Subtract 6x from each side
6x-4y-6x =-6x+24
-4y = -6x+24
Divide each side by -4
-4y/-4 = -6x/-4 + 24/-4
y = 3/2 x -6
The slope is 3/2 and the y intercept is -6
The length of two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in centimeters. a=12cm and c=37cm
By using Pythagoran theorem, the length of the third side of the triangle ABC is 35 centimeters.
How to find the missing side of a right triangle
In this question we know the lengths of two sides of the right triangle. By Pythagorean theorem we get the length of the missing side:
a² + b² = c²
b² = c² - a²
b = √(c² - a²)
b = √(37² - 12²)
b = 35
By using Pythagoran theorem, the length of the third side of the triangle ABC is 35 centimeters.
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Question 7 (1 point) The two tables below show the amount of tip, y, included on a bill charging x dollars. A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3. A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15. Which compares the slopes of the lines created by the tables?
The slope of restaurant B is twice that of restaurant A
How to compare the slopes?The tables of values are given as
X(Bill) Y(Tip) X(Bill) Y(Tip)
Rest A 10 1 Rest B 25 5
Rest A 20 2 Rest B 50 10
Rest A 30 3 Rest B 75 15
The slopes are calculated using
Slope = (y2 - y1)/(x2 - x1)
Using the table of values, we have:
Rest A = (2 - 1)/(20 - 10)
Rest A = 0.1
Rest B = (10 - 5)/(50 - 25)
Rest B = 0.2
By comparing the slopes, we have:
Rest B = 2 * Rest A
This implies that the slope of restaurant B is twice that of restaurant A
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To graph the inequality y < 2x - 1, you would draw a solid line. A true B false
True
Personally, when I see the line underneath the equality sign, I know I've got to draw a dotted line. That's how I remember the difference between drawing a solid / dotted line.
Hope this helps!
You want to put in a new concrete patio behind your house. You want it to be 12 ft wide by 14 ft long and it needs to be eight inches thick. You know that an 80 lb. bag of concrete yields 0.60 cubic feet. How many 80 lb. bags of concrete will you need for your patio?
Answer:
You will need 187 80 pounds bags of concrete.
Step-by-step explanation:
12x14x(2/3) x 0.6 = 186.666 or 187
Tell whether the equation 3x - 6y = 0 is a direct variation. Explain. If the equation is a direct variation, identify the constant of variation.
The equation is in direct variation and have constant of variation is 2.
According to the statement
we have given equation is 3x - 6y = 0 and find that the equation is direct variation of not.
Direct variation is the mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
So, to find the direct variation equate the given equation equal to zero and solve it.
So, 3x - 6y = 0
3x=6y
or
x/ y=2 or x=2⋅y
here x is directly proportional to the y by 2 times.
∴x∝y
So, this equation in direct variations and constant of variation is 2.
From above this is clear that the equation is in direct variation and have constant of variation is 2.
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What is the product?
2
12 64
78 30
6
32
78 30
(050
69
78 30
899
32
39 15
66 8
64
38 30
Answer:
the product is 1.32057606543E32
sandy uses 41 round beads to make some triangles. how many triangles did she make.
Answer:
3
Step-by-step explanation:
Numbers of beads used in making triangles:
3, 6, 10, 15, 21, 28, 36, ...
We need to pick a few numbers from those above that add to 41.
3 + 10 + 28 = 41
Answer: 3 triangles
in circle V, r=14. What is the area of circle V
Answer:
[tex]\pi[/tex][tex]14^{2}[/tex] or [tex]\pi 196\\[/tex]
Step-by-step explanation:
The circle V has the radius of 14 (r=14)
The formula of area is (A=[tex]\pi r^{2}[/tex])
So we insert the value of (r=14)
[tex]A=\pi 14^2[/tex]
[tex]A=\pi 196[/tex]
And that's the answer, The exact value is 615.752...
Answer: 196 pi
Step-by-step explanation:
Which of these is NOT an arithmetic sequence?
A.3, 9, 15, 21, 27, ...
B.-3, -9, -15, -21, -27,...
C.27, 21, 15, 9, 3, ...
D.3, 9, 27, 81, 243, ...
Answer:
D
Step-by-step explanation:
Sequence A is increasing using + 6
Sequence B is decreasing using - 6
Sequence C is decreasing using - 6
Sequence D is increasing using x 3
D is the odd one out
Someone please help me with this geometry question!
Answer: SAS
Step-by-step explanation:
There are two pairs of congruent angles and the pair of angles formed by these sides are congruent.
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
In the given figure, one angle and two adjacent sides of Triangle AFB is equal to corresponding angle and sides of the Triangle DFC.
So, we can conclude that,
Triangle AFB and Triangle DFC are congruent by :
SAS congruency criteria[tex] \qquad \large \sf {Conclusion} : [/tex]
A. SAS14) Noah needs a car to get to his new job each day. He figures he can afford to pay $120 each month. Since he
is not looking at a new car, his bank will only give him a 4-year loan at 9.20 percent interest. Given these
parameters, what is the most Noah can borrow? Give answer to nearest hundred dollars.
O a.) $4600
Ob.) $4800
Oc.) $4900
O d.) $5000
Answer: $4600
Step-by-step explanation:
I NEED THIS REALLY FAST!!!a brave knight traveled on his horse from one kingdom to another in 2 days the first day he rode at a speed of 10 mph and the second day he rode at a speed of 8 mph if he traveled exactly the same amount of time each day and went 180 miles find how many hors it took the knight to travel from one kingdom to another
Answer:
10 hours
Step-by-step explanation:
The rate x time of the first day + the rate x time of the second day equal the distance of 180 miles.
Let t = time
10t + 8t = 180
18t = 180
t = 10
I need help with my work
(In c) * 1/c = 0.0604 is the change in the function.
According to the statement
y = (In x)^2 on interval [1,4]
By mean value theorem
we use this formula to find a change f '(c)= [f(b) - f(a)] / (b - a)
Let it f(y) = (In x)^2
Now, f(4) = (In 4)^2
f(4) = (0.602)^2
f(4) = 0.3624
and
f(1) = (In 1)^2
f(1) = (0)^2
f(1) = 0
Now, f'(c) = 2 (In c) * 1/c
Substitute all these values in a formula
2 (In c) * 1/c = 0.3624 - 0 / 4 - 1
2 (In c) * 1/c = 0.3624/3
2 (In c) * 1/c = 0.1208
(In c) * 1/c = 0.0604
So, (In c) * 1/c = 0.0604 is the change in the function.
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how to be smart
please help
Graph the solution of the system of linear inequalities.
y + 2x ≥0
3x-2y≤6
Step-by-step explanation:
all the details are in the attachment; the solution are is filled with purple color.
A number is negative if and only if it is less than 0.
p. A number is negative.
q. A number is less than 0.
Which represents the inverse of this statement? Is the inverse true or false?
~p4~9
The inverse of the statement is sometimes true and sometimes false.
Oq+p
The inverse of the statement is true.
q→P
~q→ ~p
The inverse of the statement is false.
The inverse statement is:
¬q ⇒ ¬p
Which is true.
How to get the inverse statement?
Here we have the biconditional statement:
A number is negative if and only if it is less than zero.
Where:
p = a number is negative.q = a number is less than 0.So we can write the statement as:
p ⇔ q
The inverse statement is:
if not q, then not p.
or
¬q ⇒ ¬p
Replacing p and q, we have:
"if a number is not less than zero, then the number is not negative".
This is true, if the number is not less than zero, then the number is 0 or larger, so that number is not negative.
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Answer:
D.
∼p↔∼q
and
G.
The inverse of the statement is true.
Step-by-step explanation:
If n is at least 7, which inequality best represents the values of n?
n > 7
n < 7
n ≥ 7
n ≤ 7
Answer:
The answer to your question is C.n ≥ 7
Step-by-step explanation:
I hope this helps and have a good day!
It took 8 hours for 5 men to build a storeroom. How many hours will it take 12 men to build a similar storeroom if they work at the same rate?
Answer:
7.5. hours
Step-by-step explanation:
Trust me
12 men will take 3.34 hours to build a similar storeroom if they work at the same rate.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that it took 8 hours for 5 men to build a storeroom. The time required by 12 men to do the same work will be calculated as below:-
Time taken by one man = 8 x 5 = 40 hours
Time is taken by 12 men will be = 40 / 12 = 3.34 hours
Therefore, 12 men will take 3.34 hours to build a similar storeroom if they work at the same rate.
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The set of all three-digit binary numbers
The set of all three-digit binary numbers as required in the task content includes; 100,101,110,111.
What is the set of all three-digit binary numbers?A binary number by definition is one which is made of a combination of numbers 0 and 1.
On this note, it follows that the three digits binary numbers in discuss include; 100,101,110,111.
Binary numbers are most often used in computer programs to represent data.
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which of the following best describes the graph below?
Answer:
I think it's B
Step-by-step explanation:
because it's a function,it's 5 to 4 not one to one
Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…
The sum of the first five terms is 11/2
How to determine the sum?The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:
[tex]S_n = a\frac{1 - r^n}{1 - r}[/tex]
This gives
[tex]S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}[/tex]
Evaluate
[tex]S_n = \frac{1}{2} * \frac{33)}{3}[/tex]
Evaluate
[tex]S_n =\frac{11}{2}[/tex]
Hence, the sum of the first five terms is 11/2
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solve for x the triangles are similar
Answer:
x = 10
Step-by-step explanation:
∆RSE ~ ∆FGE
SE/ GE = RE/ FE
45/ 12x-3 = 55/ 143
3/ 3(4x - 1) = 11/ 143
11(4x-1) = 429
44x-11 = 429
44x = 440
x =10
Evaluate:
(3,251)(30)
Answer: 97350
Step-by-step explanation:
The numbers (3251)(30) are separated by using parentheses by multiplying the numbers we get 97350.
What is multiplication?
When we notice two or more numbers together that exist divided by parentheses, then the parentheses exist pointing us to multiply. In math, multiplying indicates adding equivalent groups. When we multiply, the number of things in the group rises. The two elements and the product exist as regions of a multiplication problem.
Given: (3251)(30)
Here, the numbers are separated by using parentheses, then the parentheses exist pointing us to multiply.
Therefore, by multiplying the numbers we get
(3,251)(30) = 97350
Therefore, the correct answer is 97350.
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This is worth 33 POInTS PLEASE HELP
The maximum amount of water that can be used by each house on a daily basis is 100 liters.
EquationCommon utilities in the community = 500 litersNumber of houses = 40 housesCapacity of water tank = 4,500 litersWater used per house = x4,500 = 500 + 40x
4,500 - 500 = 40x
4,000 = 40x
x = 4,000 / 40
x = 100 liters
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If m/FCD = x + 48, m/BCD = x + 17, and m/BCD = 95°, then find the value of x.
The value of x is 78
Solving equivalent equations
Given:
[tex]\frac{m}{FCD}=x+48\\\\ \frac{m}{BCD} =x+17\\\\\frac{m}{BCD} =95^0[/tex]
From the given equations, two of them are exactly equivalent
The equivalent equations are compared below
x + 17 = 95
x = 95 - 17
x = 78
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