Answer:
Equation of line A: y = 4
Equation of line B: x = 8
Step-by-step explanation:
I am not sure how to explain this but those are your answer.
identify the measure of angle X:
Since the line is linear, the sum of the angles should be 180 degrees
x + 28 + 73 = 180
x = 180 - 28 - 73
x = 79 degrees
Hope this helped :)
what is the conditional probability that a randomly-generated 4-bit string contains two consecutive 1s, given that the first bit of the string is a 1?
The conditional probability that a randomly-generated 4-bit string contains two consecutive 1s is 3 / 8 .
total length of four-bit strings = 16
Let S represent the collection of all four-bit bit strings.
Let A represent the occurrence of a randomly generated string beginning with 1.
Let B represent the scenario where a string created at random contains two consecutive 0s.
S has 8 strings that begin with the letter "1."
P( A ) = 8 / 16 = 1 / 2
Strings in S starting with 1 and having two consecutive zeros are 1000 , 1001 , 1100
P(A ∩ B) = 3 / 16
Conditional probability that at least two consecutive 0s will appear in a randomly generated bit string of length four is ,
3/16 / 1/2
= 3 / 8
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A new streaming service sent out a survey to 350 households to see who would be interested in its service. The company found that it could charge $55 per month, with a margin of error of ±1.3. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?
$52,815
$53,700
$54,915
$56,300
Answer:
B) $53700-------------------------------------
The charge of $55 with error margin of ± 1.3 results in the least value of $(55 - 1.3) = $53.7 and greatest value of $(55 + 1.3) = $56.3.
If 1000 people signed up for the service, then the least total amount is:
$53.7*1000 = $53700Correct choice is B.
n divided by 6 equals 42 please explain
The value of n when is divided by 6 and it gives 42 is 252
What is division?Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division and 12 divided by 4 gives 3 in each group. This means that 3 and 4 are factors of 12
When dividing a number by another number that is not it's factor, there will be remainder for example 12 divided by 5 . It will give 2 remainder 2. This is because 5 is not a factor of 12.
Similarly, n divided by 6 to give 42. This means that 42 and 6 are factors of n
Therefore to find n we multiply 42 and 6.
n = 42×6
n = 252
therefore the value of n is 252
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PLEASE HELP!!!!!!!!
Given 2 and one-eighth times negative 7 times five tenths, determine the product.
negative fourteen and five eightieths
negative 7 and seven sixteenths
fourteen and five fortieths
7 and one eighth
Answer:
Negative seven and seven sixteenths
Step-by-step explanation:
2⅛ x (-7) x 5/10
= 17/8 x (-7) x 1/2
= - 119/16
= - 7 7/16
Somebody please help I’m studying for finals and I’m losing my mind
The perimeter of the image is 70 meters and its area is 210 square meters.
What is meant by perimeter?The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter. The sum of the lengths of all the sides in a rectangle is its perimeter, or P. A rectangle's opposite sides are equal, hence it has two equal lengths and two equal widths. The following formula is used to determine a rectangle's perimeter: Diameter is equal to the sum of the following dimensions: length, width, height, and width.
There are numerous practical uses for calculating the perimeter. The size of the fence needed to enclose a yard or garden is known as the calculated perimeter.
Area=(1/2)×base× height
=(1/2)×21×20
=210 square meters
Perimeter=a+ b+ c
=21+20+29
=70meters
Therefore, The perimeter of the image is 70 meters and its area is 210 square meters.
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Laura is going to tile her dining room floor. The room is in the shape of a rectangle, and the dimensions are 18 feet by 12 feet. The tile she wants to use costs $9 per square foot. How much will the tile cost for the dining room floor?
Answer:
$1944
Step-by-step explanation:
18x12=216
216x$9=$1944
Answer:
£1944
Step-by-step explanation:
The area of the floor is 216 feet²
18 x 12 = 216
216 x 9 = 1944
Simplify the expression 10^log5
Answer:
5
Step-by-step explanation:
The logarithm function, denoted as "log," is the inverse of the exponentiation function. This means that if we have the expression "log(x) = y," then "x" is the base "b" raised to the power "y." In other words, "x" is equal to "b^y."
Using this definition, we can simplify the expression "10^log5" as follows:
10^log5 = 10^y
Where "y" is the exponent to which the base "10" must be raised to produce the result "5."
To find the value of "y," we can use the property of logarithms that states "log(b^y) = y." Applying this property to our expression, we have:
log(10^y) = y
Since "10^y" is equal to "5," we can substitute "5" for "10^y" in the above equation:
log(5) = y
Solving for "y," we find that "y = log(5)."
Therefore, the expression "10^log5" can be simplified to:
10^log(5) = 10^(log(5)) = 5
So the simplified result is 5.
How would i solve for E
Answer:
5/13
Step-by-step explanation:
[tex]CE=\sqrt{10^2 + 24^2}=26 \\ \\ \cos E=\frac{10}{26}=\frac{5}{13}[/tex]
if w denotes weight, n denotes number of items, m denotes maximum capacity constraint, and x =0 or 1, what would be the valid bounding condition/conditions for the sum of the subset problem?
So the valid bounding conditions for the sum of the subset problem are:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
The valid bounding condition for the sum of the subset problem is:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
This means that each item can either be included in the subset (x[i] = 1) or not included in the subset (x[i] = 0).
The sum of the weights of the items in the subset should not exceed the maximum capacity constraint, m. So the bounding condition for the weight of the subset is:
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
This means that the sum of the weights of the items in the subset should be less than or equal to the maximum capacity constraint.
So the valid bounding conditions for the sum of the subset problem are:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
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Is △XYZ equilateral, isosceles, or neither? Explain your reasoning. (Make sure to include how/why you know which of these categories the triangle falls into!)
Answer:
equilateral
Step-by-step explanation:
You want to know if the given triangle with angles marked (2x)°, (2x)°, and (3x-30)° is equilateral, isosceles, or neither.
AnglesOn the face of it, the triangle is at least isosceles, as two angles are marked identically as (2x)°.
When we apply the angle sum theorem, we find ...
(2x)° +(2x)° +(3x -30)° = 180°
7x -30 = 180
7x = 210
x = 30
2x = 2(30) = 60
3x -30 = 3(30) -30 = 60
All of the angles have the same measure, 60°, so the triangle is equilateral.
Answer:
3 equal angles = equilateral triangle
Step-by-step explanation:
the sum of the interior angles in a triangle is 180°
2x + 2x + 3x - 30 = 180
7x = 210
x = 210 : 7
x = 30
find angle Y & Z2 x 30 = 60°
find angle x3 x 30 - 30 = 60
3 equal angles = equilateral triangle
Find the values of x and y
Answer:
x = 20
y = 70
Step-by-step explanation:
It's rather difficult to explain since nothing is labeled but those are the answers
In the first week of July a record 1,120 people went to the local swimming pool in the second week 125 fewer people went to the pool than in the first week in the third week 130 more people went to the pool than in the second week in the fourth week 229 fewer people went to the pool than in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
There is 20% decrease in the number of people who went to the pool over these four weeks.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Attendance of pool in first week of July = 1120
In second week, 125 fewer people joined.
Thus, attendance in second week is = 1120-125 = 995
In third week, 130 more people joined.
Thus, attendance in third week is = 995+130 = 1125
In fourth week, 229 fewer people joined.
Thus, attendance in fourth week is = 1125-229 = 896
Difference of attendance in first and fourth week = 1120-896 = 224
Percentage decrease = (Decrease number/Initial number)×100%
= (224/1120)×100%
= 0.20×100%
= 20%
Thus, there has been a 20% decrease over the four weeks.
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Points B, D, and F are midpoints of the sides of
AACE. EC 32 and DF = 20. Find AC.
The diagram is not to scale.
A
F
B
The value of the side AC is 40 if the points B, D, and F are midpoints of
the sides of ΔACE.
What is the mid-point of a triangle?The midpoint theorem states that in order to determine the midpoints of a triangle's sides, "a line segment linking any two of its midpoints is said to be parallel to the triangle's third side and also half the length of the third side."
Divide the distance between the two endpoints by 2, then do it again. The two terminal x coordinates can alternatively be combined, then the result divided by two. Draw a line from a midway to the opposite corner. The centroid of a triangle is the point at where the three medians intersect.
Given,
The points B, D, F are midpoints of the sides of a triangle ACE.
And also given that,
EC =32 and DF=20, AC=?
So, FD=1/2(AC)
AC=2(FD)
AC=2(20)
AC=40
Therefore, the value of the side AC is 40 if the points B, D, and F are
midpoints of the sides of ΔACE.
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Please reply urgent I need it now
step by step
Answer:
x ≥ 5
Step-by-step explanation:
5 + 2 (2x - 3) ≥ 3x + 4
5 + 4x - 6 ≥ 3x + 4
-1 + 4x ≥ 3x + 4
4x ≥ 3x + 5
x ≥ 5
2(x+6)+3x+4=
what it equals
Answer:
5x + 16
Step-by-step explanation:
First you have to distribute the 2 into the parentheses
2 times x is 2x
2 times 6 is 12
so now the equation is
2x + 12 + 3x + 4
add the 2x and 3x and that is 5
so now the equation is...
5x + 12 + 4
add 12 + 4 and that is 16
so now the answer is
5x + 16
please solve for x
5x+10y=25
[tex]5x+10y=25[/tex]
Add -10y to both sides:
[tex]5x+10y+-10y=25+-10y[/tex]
[tex]5x=-10y+25[/tex]
Divide both sides by 5:
[tex]\dfrac{5x}{5} =\dfrac{-10y+25}{5}[/tex]
[tex]\fbox{y = -2y + 5}[/tex]
A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 4.75 inches long. If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter. Please answer this thank you!
Answer:
[tex]A \approx 38 \, \textrm{cm}^2[/tex]
Step-by-step explanation:
The area of a triangle is defined as:
[tex]A_\triangle = \dfrac{1}{2}bh[/tex]
where [tex]b[/tex] is the length of its base and [tex]h[/tex] is its height.
So, we can plug the given values into this formula along with the inch to centimeter conversion to get the answer to this problem.
[tex]A=\dfrac{1}{2}\left(4.75\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)\left(2.5\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)[/tex]
And simplify.
[tex]A \approx 38 \, \textrm{cm}^2[/tex]
Usually Cassandra tap dances 1 7/8 hours a day. Today she reduced this time by half. For how long did she tap dance today?
Answer: 15/16 hour
Step-by-step explanation:
Insert terms to make a identity replace *
(*-0.2n)^2=*-1.2mn+0.04n^2
The unidentified term is 3m.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, an equation (x-0.2n)² = x-1.2mn+0.04n²
We know that, (a-b)² = a²-2ab+b²
Comparing the given equation with the above identity, we get,
a = x, b = 0.2n and 2ab = 1.2mn
Therefore, 2x×0.2n = 1.2mn
x = 3m
Hence, the unidentified term is 3m
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Given △
△
M
T
S
and △
△
S
Q
P
, find SP.
Answer:
22
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
[tex]\frac{3x+2}{5x-4}=\frac{15}{20}=\frac{3}{4} \\ \\ 12x+8=15x-12 \\ \\ 3x=20 \\ \\ \therefore SP=20+2=22[/tex]
∠A and \angle B∠B are complementary angles. If \text{m}\angle A=(2x-13)^{\circ}m∠A=(2x−13)
∘
and \text{m}\angle B=(2x+7)^{\circ}m∠B=(2x+7)
∘
, then find the measure of \angle A∠A.
The measure of ∠A is 29.
What is an angle?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Given that,
m∠A = (2x−13)° and m∠B = (2x+ 7)° and ∠A and ∠B are complementary angles.
Therefore
m∠A + m∠B = 90°
(2x−13)° + (2x+ 7)° = 90°
4x + 6 =90
Subtract 6 from both sides:
4x = 84
Divide both sides by 4:
x = 21
Putting x = 21 in m∠A = (2x−13)°:
m∠A = (2 × 21−13)°
m∠A = 29°
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Use the formula y = mx + b and use point slope form to write an equation for a line given with the given information.
Either the slope intercept form or the point-slope form can be used to express the equation of a line-, the line's equation is - 3x - 5.
What is Slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two distinct points on a line can be used to calculate the slope of any line.
The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.
According to our question-
the points are given as
(x1,y1)=0,-5
(x2,y2)=-3,4
m = y2-y2/x2-x2
Hence, the line's equation is - 3x - 5.
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Please help me. I don't want to get the answer wrong
Answer:
photo?
Step-by-step explanation:
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
Given ab, and c is not parallel to a or b, which statements
must be true?
Select each correct answer.
O
□m/4=m/8
m/8=m/9
m/2=m/7
m/7=m/10
a
C
1/2
3/4
5/6
7/8
9/10
11/12
If A=45° B = 30°, prove that
Sin (A-B) = sinAcos B - Cos Asin B
To prove that Sin (A-B) = sinAcos B - Cos Asin B, we can use the angle subtraction formula for sine:
Sin (A-B) = Sin A Cos B - Cos A Sin B
This formula is derived from the identity:
Sin (A-B) = Sin A Cos B - Cos A Sin B
which can be derived by using the double angle identities for sine and cosine:
Sin (2A) = 2 Sin A Cos A
Cos (2A) = Cos^2 A - Sin^2 A = 2 Cos^2 A - 1 = 1 - 2 Sin^2 A
Substituting these identities into the identity above, we get:
Sin (A-B) = Sin A Cos B - Cos A Sin B
What is an angle subtraction?Angle subtraction formulas is otherwise known as angle subtraction identities. This angle subtraction formulas permit us to find the exact values of less common trigonometric angles by expressing the less common angle as the difference of two common angles. For example, 15 degrees = 45 degrees - 30 degrees.
Therefore, Sin (A-B) = sinAcos B - Cos Asin B.
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Answer question #9
The response is incorrect and I need help on getting the correct answer
Answer:
congruence is compatibility or agreement while equal is the same or equivalent to one another.
What is the breadth of perimeter=50 ft and Length=15ft
Answer:
Breadth = 10 ft
Step-by-step explanation:
Given information,
→ Perimeter (P) = 50 ft
→ Length (L) = 15 ft
→ Breadth (B) = ??
Now we have to,
→ find the required value of Breadth.
Formula we use,
→ P = 2(L + B)
Then the required Breadth will be,
→ P = 2(L + B)
→ 50 = 2(15 + B)
→ 30 + 2B = 50
→ 2B = 50 - 30
→ B = 20/2
→ [ B = 10 ft ]
Hence, required Breadth is 10 ft.
lonzo borrowed 15000$ at 1.2% simple interest to buy a car . after 9 months how much will lonzo owe the bank in interest
The simple interest implies that Lonzo owes $1513.5
How to determine the amount Lonzo owes?The given variables can be represented as:
Loan amount P = $1500
Rate of interest, R = 1.2%
Time to pay back the loan, t = 9 months i.e. 0.75 year
The amount from a simple interest can be calculated using:
A = P(1 + RT)
Substitute the known values in the above equation, so, we have the following representation
A = 1500 * (1 + 1.2% * 0.75)
Evaluate
A = 1513.5
Hence, the amount owed is $1513.5
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