Evaluate the expression when c=-7.6 and d=-8.2.2d-7c
You have the following expression:
\(2d-7c\)where
c = -7.6
d = -8.2
reaplace the previous values into the given expression, and simplify, as follow:
\(2(-8.2)-7(-7.6)=-16.4+53.2=36.8\)where it has been taken into account the law of signs.
Then, the anwe
help me solve this please
The measure of angle A is 1 degree.
What is sum of the angles ?
The sum of the angles in a triangle is always 180 degrees. This is known as the Triangle Sum Theorem. This theorem applies to all triangles, regardless of their size or shape, and is one of the fundamental properties of Euclidean geometry.
In addition to the Triangle Sum Theorem, there are other important angle relationships in geometry, such as the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. These angle relationships can be used to solve various problems in geometry, such as finding unknown angle measures or proving geometric theorems.
According to the triangle:
We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can write:
angle C = 180 - angle A - angle B
Substituting the given expressions for angle A and angle B, we get:
angle C = 180 - (6x - 35) - (3x + 53)
Simplifying, we get:
angle C = 92 - 3x
We also know that the angles of a triangle are non-negative, so we can write:
angle A > 0, angle B > 0, angle C > 0
Substituting the given expressions for angle A and angle B, we get:
6x - 35 > 0 and 3x + 53 > 0
Solving these inequalities, we get:
x > 35/6 and x > -53/3
The second inequality is always true, so we only need to consider the first one. Since x must be greater than 35/6, the smallest integer value of x that satisfies this inequality is x = 6.
Substituting x = 6 into the expression for angle A, we get:
angle A = 6x - 35 = 6(6) - 35 = 1°
Therefore, the measure of angle A is 1 degree
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The chance of winning based on the type of lottery tickets we purchase is 0.05, or 1 in 20. We will play each Saturday until we win. What is the probability of winning on the fourth ticket
The probability of winning on the fourth ticket is 0.83%.
Given, The probability of winning based on the type of lottery tickets we purchase is 0.05 or 1 in 20.
This means that the probability of winning is 1/20=0.05.We will play each Saturday until we win.
This statement gives us a hint that we need to find the probability of winning after four attempts/tries
Let the probability of not winning be (1-0.05)=0.95.
Now, the probability of not winning after 4 tries is:P(N) = 0.95 x 0.95 x 0.95 x 0.95 = 0.8145
The probability of winning on the fourth ticket is equal to the probability of not winning in three tickets (0.8145) multiplied by the probability of winning on the fourth ticket (0.05).
Thus, the probability of winning on the fourth ticket is:0.8145 x 0.05 = 0.040725 or 0.04
Summary: The probability of winning based on the type of lottery tickets we purchase is 0.05 or 1 in 20. We will play each Saturday until we win. The probability of winning on the fourth ticket is 0.83%.
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If the star Aldebaran rises tonight at 2:00 a.m., when do you expect it to rise next month?
a) 11:00 pm.
b) midnight.
c) 1:00 am. d) 2:00 am. e) 3:00 am
Your answer is option b)
The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.
Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes
Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours
Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)
Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.
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who ever gets it right first and first one to comment will get brainiest
Answer:
the slope is 3/2 or 1.5 they are the same
Step-by-step explanation:
answer this question asap
Answer:
the first option
Step-by-step explanation:
f(c)= 1/3p + 5/3
hich math expression means "the product of 16 and 26"?
O 16 - 26
26-16
16 - 26
0 16 +26
Answer:
infjfkflflfmdbfufifldndndhfififkfnf
the solution to the system is (6,2). select the equations that could be the other in the system.
To find which could be the second equation to the system of equations, we insert the x part of the solution (6), if we obtain 2 as result then that equation could be since it has the same solution as the system.
\(\begin{gathered} y=-\frac{1}{6}x+3 \\ y=-\frac{1}{6}(6)+3 \\ y=-1+3 \\ y=2 \\ \text{second equation} \\ y=4x-2 \\ y=4(6)-2 \\ y=24-2 \\ y=22 \end{gathered}\)The possible equation to the system is the first since the solution (6,2) belong to the line
convert 0.725 to a percent
The equivalent value of the percentage is A = 72.5 %
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be p
Let the second number be q
Now , A = pq
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
when the value of p = 0.725
And , when the value of q = 100
On simplifying the equation , we get
A = 0.725 x 100
So , the left hand side of the equation is equated to the right hand side by the value of 0.725 x 100
A = 0.725 x 100
A = 72.5 %
Therefore , the value of A = 72.5 %
Hence , the expression is A = 72.5 %
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82% of £134.18
Give your answer rounded to 2 DP
82 = 0.82 = multiplier
134.18 x 0.82 = 110.0276
= £110.03 (2.d.p)
Solve the system by using the substitution method.y=9x - 9y=9
You have the following system of equations:
y = 9x - 9
y = 9
In order to solve the previous system of equations, replace y = 9 into the first equation and solve for x:
9 = 9x - 9 add 9 both sides and simplify
9 + 9 = 9x
18 = 9x divide by 9 both sides
18/9 = x
2 = x
x = 2
Hence, the solution to the system is x = 2 and y = 9.
need help on this graph
Find the area of ABCD with vertices A (5,-5), B(8,5), C(11, -15), and D(8, – 15).
The area of ABCD is
What square units?
( HURRY PLEASE HELP )
The area of ABCD is calculated as: 25 square units.
How to Find the Area of a Quadrangle?Given the following vertices for ABCD as:
A (5,-5),
B(8,5),
C(11, -15),
D(8, – 15)
The area of ABCD = area of triangle ABC + area of triangle ADC.
Use the area of a triangle formula, 1/2|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|, to find the area of triangle ABC and the area of triangle ADC.
Area of triangle ABC:
A (5,-5) = (x1, y1)
B(8,5) = (x2, y2)
C(11, -15) = (x3, y3)
Plug in the values
Area of triangle ABC = 1/2|5(5 - (-15)) + 8(-15 - (-5)) + 11(-5 - 5)|
Area of triangle ABC = 1/2|100 - 10 - 110|
Area of triangle ABC = 1/2|-20|
Area of triangle ABC = 10 units²
Area of triangle ADC:
A (5,-5) = (x1, y1)
D(8, – 15) = (x2, y2)
C(11, -15) = (x3, y3)
Plug in the values
Area of triangle ADC = 1/2|5(-15 - (-15)) + 8(-15 - (-5)) + 11(-5 - (-15))|
Area of triangle ADC = 1/2|0 - 80 + 110|
Area of triangle ADC = 1/2|30|
Area of triangle ADC = 15 units²
Area of ABCD = 10 + 15 = 25 units².
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Bethany wants to build a wooden deck on her patio, which is in the shape of a parallelogram. The area of the patio is 580 ft2. Find the base. Round your answer to the nearest foot.
The base of the parallelogram is 18. 3 feet
How to determine the base of the parallelogramFrom the information given, we have that;
Area = 280ft^2
height = 5x
Base = 6x
Note that he formula that is used for calculating the area of the parallelogram is represented with the equation;
Area = bh
Given that the parameters are;
b is the base of the parallelogramh is the height of the parallelogramSubstituting the values of area, base and height.
280 = 5x × 6x
280 = 30x^2
Divide both sides by 30
x^2 = 280/30
Find the square root of both sides
x = √(280/30)
We have that the base = 6x
Substitute the value of x, we get;
Base = 6x = 6(√(280/30))
Base = 18.3ft
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What is the slope of the line on the graph?
Compare the properties of each exponential function over the interval (0,5)
Function A.
Jasmine received a job offer with a starting salary of $32,000 and a 1.5% increase every year
Function B
A second job offer for jasmine can be described by the function F(x) =30,000(1+0.02)^x
Answer:
erhujdrjdrj 3x24678q2578=1/235236125
Step-by-step explanation:
drjdfjdfj because 0,5 = 320000 x 1.5% = 17000 a year = 3000 (1=0.02)^x
The product of the first 5 terms of a geometric series is 243 if the third term of the geometric series is equal to the 10th term of an arithmetic series find the sum of the first 19 terms of the arithimetic series
Based on the provided information, the sum of the first 19 terms of the arithmetic series is 57.
An arithmetic series is a sequence of numbers such that the difference between the consecutive terms is constant. A geometric series is a sequence of numbers such that they have a constant ratio between successive terms.
Let the five terms of the geometric series be (such that r the common ratio is eliminated from the product to find a)
a/r^2, a/r, a, ar, ar^2
As the product of the first five terms of a geometric series is 243,
a/r^2* a/r * a* ar* ar^2 = 243
a^5 = 243
a^5 = 3^5
a = 3
Hence, the third term of the geometric series is 3.
Consider the arithmetic series,
b, b + d, b + 2d, …. b + (n – 1)d,… where d is the common difference.
The tenth term of the arithmetic series is
b + (10 -1)d
b + 9d
As the tenth term of the arithmetic series is equal to third term of the geometric series,
b + 9d = 3
The sum of the n term is: n/2(2b + (n - 1)d)
When n = 19
19/2(2b + (19-1)d)
19/2(2b + 18d)
19(b + 9d)
19*3
57
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Which is not a power function?.
A function containing a variable base raised to a fixed power is considered to be a power function.
when a function has a constant base raised to a variable power. This can be called an exponential function, not a power function A power function may be a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number. It is in the form of f(x)=kx^p, where k and p are the real numbers whereas k is the coefficient.
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Explain the difference between the Addition Rule for disjoint events and the General Addition Rule.
Answer: The Addition Rule for disjoint events is the sum of the probabilities of 2 events, while the General Addition Rule says if 2 are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).
Step-by-step explanation: The Addition Rule states that for two disjoint events, the probability that one or the other occurs is the sum of the probabilities of the two events. (Book example on p. 280 about the probability that a randomly selected student is either a sophomore (A) or a junior (B) therefore P(A or B). The addition of probabilities for disjoint events is the third basic rule of probability: Rule 3: If two events A and B are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).
Answer: The Addition Rule for disjoint events is the sum of the probabilities of 2 events, while the General Addition Rule says if 2 are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).
Step-by-step explanation: hope this helps0^0
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
Option 3: cos A=15/17
Step-by-step explanation:
Sine is the opposite side over the hypotenuse,
Cosine is the adjacent side over the hypotenuse, and
Tangent is opposite side over the adjacent side
You can remember this with the acronym SOHCAHTOA (sine, opposite, hypotenuse, cosine, adjacent, hypotenuse, tangent, opposite, adjacent)
Option 3 uses cosine, so the adjacent angle to angle A would be 15 and the hypotenuse would be 17, so 15/17
PLS HELP THXXXXXX ONLY ANSWER IF KNOWN
Answer:
B. -2
Step-by-step explanation:
The y-intercept is the point that is on the y-line (the line that goes down). This means that the y-intercept is (0,-2). This is the same as -2. Therefore, the answer is B. -2
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(-1,-10)(−1,−10)left parenthesis, minus, 1, comma, minus, 10, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis.
Answer: 4
Step-by-step explanation:
-1+-10 is -11
5+2 is 7
-11+7 is 4
the new HC cell phone company is offering a plan for unlimited talk and text with an additional charge for data that can be represented by the function H ( g ) = 22.99g + 50, where H represents the cost, in dollars, and g represents the number of gigabytes of data. According to this model, fill in the blanks to correctly complete the sentence below. The cost of the plan for the limited talk and text is _____ with a an additional cost of _______ for each gigabyte of data.
The cost of the plan for the limited talk and text is $50 with an additional cost of $22.99 for each gigabyte of data.
How did we determine the cost of the plan?Generally, a mathematical function means a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables. It can take an input from many variables but will always give the same output, unique to that function.
We are given that "H(g) = 22.99g + 50", where H represents the cost, in dollars, and g represents the number of gigabytes of data. The main answer is based on the given function where the constant term of 50 represents the cost of the plan for limited talk and text, and the coefficient of 22.99 represents the additional cost for each gigabyte of data used.
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Is 864,050 divisible by 10?
Answer:
Yes; 86,405.
Step-by-step explanation:
If the last digit of a number is 0, then it is divisible by 10.
\(864,050/10 = 86,405.\)
What is the sum of V-2 and V-18?
Answer:
2v-20
I'm sure.
A .Write an equation for the trend line in slope -intercept form .
Given:
The graph of a trend line.
To find:
The equation of the trend line is slope intercept form.
Solution:
From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).
Slope of the line is:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(m=\dfrac{50-25}{5-0}\)
\(m=\dfrac{25}{5}\)
\(m=5\)
The line passes through the point (0,25). So, the y-intercept of the line is 25.
Slope intercept form of a line is:
\(y=mx+b\)
Where, m is slope and b is y-intercept.
The slope intercept from of the line is:
\(y=(5)x+(25)\)
\(y=5x+25\)
Therefore, the equation for the trend line in slope -intercept form is \(y=5x+25\).
18/27=1/3 9/15<4/4 3/4<2/3 5/6>11/12 which is a true statement?
Answer:
The correct answer us 9/15<4/4
Can I please have a brainliest? I want to rank up :)
Finds the value of x
Answer:
2 x or 3x
Step-by-step explanation:
because is have x
Answer:
x = 30
Step-by-step explanation:
The sum of the exterior angle and interior angle of a polygon = 180°
Then the 2 unknown interior angles are
180 - 2x and 180 - (3x - 20) = 180 - 3x + 20 = 200 - 3x
The sum of the 4 interior angles of a quadrilateral = 360°
sum the 4 interior angles and equate to 360
2x + 2x + 10 + 180 - 2x + 200 - 3x = 360 , that is
- x + 390 = 360 ( subtract 390 from both sides )
- x = - 30 ( multiply both sides by - 1 )
x = 30
Write an equation of a line that would be perpendicular to y =-x-8
Let:
\(y=-x-8\)From that equation:
\(m1=-1\)If two lines are perpendicular, then:
\(\begin{gathered} m1\times m2=-1 \\ m2=1 \end{gathered}\)Given an arbitraty point:
\((x1,y1)=(1,2)\)Using the point slope equation:
\(\begin{gathered} y-y1=m(x-x1) \\ y-2=1(x-1) \\ y-2=x-1 \\ y=x+1 \end{gathered}\)help me wit my math please
we have the expression
3x+2y
Verify for each ordered pair
so
a) (0,6)
substitute
3(0)+2(6)=12
b) (3,2)
3(3)+2(2)=13
c) (4,1)
3(4)+2(1)=14
d) (5,-2)
3(5)+2(-2)=11
therefore
maximum value for option C