Answer:
1) cant solve, you accidentally cropped out the bottom
2) ∠ABC=60°
3) x=25°
Step-by-step explanation:
1) cant solve, you accidentally cropped out the bottom. Let me know what the figure opposite the angle (5x-70) is and I can figure out the answer.
2)∠ABC=(45+15) (VERTICALLY OPPOSITE)
∠ABC=60°
(x=12.5°)
3) (x) + (3x-10) =90
4x -10 = 90
4x=100
x=25°
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!
Answer:
pulling a king out of a deck of cards
Step-by-step explanation:
A compound event is more than one thing happening
The only item listed that has only one thing happening is pulling a king out of a deck of cards, so that is the only one that is not a compound event
Sasha is 6 years older than Lena, and in 3 years Sasha will be twice Lena's age. What are their ages now?
Answer:
Lena is 3 now
Sasha is 9 now
Step-by-step explanation:
L = Lenas age
S = sasha age
Now
S = L+6
In 3 years
(S+3) = 2(L+3)
Substitute the first equation into the second
( L+6+3) = 2(L+3)
Combine like terms and distribute
L+9 = 2L+6
Subtract L from each side
L+9-L = 2L -L+6
Subtract 6 from each side
9-6 =L+6-6
Lena is 3 now
Sasha is L+3 = 3+6 = 9 now
does anyone know how to solve this?
Just put -2 in,where X is and get your answer that way
PLS HELP ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
Therefore, the product of 2x+y and 5x-y+3 is 10x^2 + 13x - y^2 + 4xy + 6.
Step-by-step explanation:
Using FOIL (first, outer, inner, last) method, we can multiply the two expressions:
(2x+y)(5x-y+3) = 10x^2 - 2xy + 15x + 3y + 5xy - y^2 + 6x - 3y
Simplifying the terms by combining like terms and rearranging, we get:
10x^2 + 13x - y^2 + 4xy + 6
Which of the following mathematical expressions is equivalent to the verbal expression “a number, x, squared is 18 less than the product of 11 and x” ?
2x = 11x – 18
2x = x11 – 18
x2 = 18 – 11x
x2 = 11x + 18
x2 = 11x – 18
Answer: x^2 = 11x - 18
Step-by-step explanation:
Why does -2^2= -4 but (-2)^2= 4?
Answer:
The reason why -2^2=-4 and (-2)^2=4 is due to the rules of mathematical operations and the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
According to the order of operations, when you have an expression with multiple operations, you must perform the operations in a specific order. Exponents come before multiplication and division, and before addition and subtraction.
So, when evaluating -2^2, you first evaluate the exponent, which is 2. However, the negative sign in front of the 2 is not part of the exponent, but rather an arithmetic operation. Therefore, the expression is equivalent to -(2^2), which is equal to -4.
On the other hand, when evaluating (-2)^2, the parentheses indicate that the negative sign is part of the base, so you must first evaluate the base, which is -2, and then apply the exponent of 2. This gives you (-2)^2 = 4.
Step-by-step explanation:
The minus in (-2)^2 is enclosed in parentheses, so it is also squared:
minus × minus = plus
And talking about this one: -2^2, the minus is not included in the parentheses, that's why we only square the number (2 in this case) and keep the minus in front of it
I hope this will help...
The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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A student is solving the problem
x^2 + 10x + _ = 16 + _
by method of completing the square. What number should the student add to both sides?
A. 4
B. 16
C. 25
D. 5
We should add 25 both side by method of completing the square.
We have to given that;
A student is solving the problem
x² + 10x + _ = 16 + _
Now, We can completing the square as;
⇒ x² + 10x + 5² = 16 + 5²
⇒ x² + 10x + 25 = 16 + 25
⇒ (x + 5)² = 16 + 25
Hence, We should add 25 both side by method of completing the square.
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Evaluate 2(x - 4) + 3x - y for x = 3.
Answer:
7 - y
Step-by-step explanation:
2(x - 4) + 3x - y for x = 3
~Substitute
2(3 - 4) + 3(3) - y
~Simplify
2(-1) + 9 - y
-2 + 9 - y
7 - y
Best of Luck!
Identify the inverse g(x) of the given relation f(x).
f(x) = {(8, 3), (4 1), (0, -1), (-4, -3)}
O g(x) = {(=4, -3), (0, -1), (4, 1), (8, 3)}
g(x) = {(-8, -3), (-4, 1), (0, 1), (4, 3))
g(x) = {(8, -3), (4, -1), (0, 1), (-4, 3))
g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4))
The inverse g(x) of the given relation f(x) be g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4))
What is meant by inverse function?An inverse function will have its input and output reversed. Set the function equal to y to use algebra to identify the function's inverse (if one exists). Swap x and y after that, and then get y in terms of x.
In essence, an inverse function reverses the effects of the original function. If f(x) instructs you to multiply by 2 and then add 1, the opposite f(x) will instruct you to take 1 away and then divide by 2. If you want to see this graphically, the function f(x) and its inverse will be reflections of the line y = x.
A function's inverse is a function that reverses the effects of another function. If x=g whenever y=f(x), then a function g is the inverse of a function f. (y). In other words, applying f and then g is equivalent to not acting at all. This can be expressed as g(f(x))=x when f and g are combined.
Therefore, the correct answer is option d) g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)).
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Answer:
It's the last one.
Step-by-step explanation:
Edge 2020.
An inverse variation includes the points (5, 3) and (1, n). Find n.
Write and solve an inverse variation equation to find the answer.
n=
Submit
Answer:
n = 15
Step-by-step explanation:
the equation for inverse variation is
y = \(\frac{k}{x}\) ← k is the constant of variation
to find k use the point (5, 3 ) , that is y = 3 when x = 5 , then
3 = \(\frac{k}{5}\) ( multiply both sides by 5 )
15 = k
y = \(\frac{15}{x}\) ← equation of variation
substitute (1, n ), that is x = 1, y = n into the equation
n = \(\frac{15}{1}\) = 15
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.
Cookie Castle sells 8-inch cookies for $3 plus a flat $5 delivery fee. Zach has $14 to spend on cookies. Write and solve an equation to determine how many cookies Zach can buy and have delivered.
Answer:
He can buy 3 cookies.
Step-by-step explanation:
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
the general formula for the number of decibels corresponding to a change in sound intensity to i2 relative to the former intensity i1 is
Part A: β₂ = β₁ + 10 log₁₀ (f)
Part B: Δβ = 20 log10 (d₁/d₂)
This can be solved using the concept of sound intensity.
What is sound intensity?While amplitude is the distance between a wave's resting position and its crest, sound intensity is defined as the sound power per unit area. The power carried by sound waves per unit area in a direction perpendicular to that region is known as sound intensity or acoustic intensity. The watt per square metre is the SI measure of intensity that includes sound intensity.
Part A:
β₂ - β₁ = 10 log₁₀ (I₂/I₁)
given that : I₂ = f × I₁
hence, I₂/I₁ = f
so the equation becomes:
β₂ - β₁ = 10 log₁₀ (f)
β₂ = β₁ + 10 log₁₀ (f)
Part B:
P = Power by the source
I₁= intensity at distance d1 = P/(4πd₁²)
I₂ = intensity at distance d2 = P/(4πd₂²)
Δβ = β₂ - β₁ = 10 log₁₀ (I₂/I₁)
β₂ - β₁ = 10 log₁₀ ((P/(4πd₂²))/(P/(4πd₁²)))
Δβ = 10log₁₀ ((d₁/d₂)²)
Δβ = 20log₁₀ (d₁/d₂)
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For each right triangle fine the length of the side that is not given. Round your answer to the nearest tenth.(one Decimal place)
Answer:
√157
Step-by-step explanation:
Use Pythagorean theorm.
\(11^2 + 6^2 = ?^2\)
121 + 36 = ?^2
157 = ?^2
√157 = ?
Can't simplify.
Answer:
12.5 m
Step-by-step explanation:
You are given the lengths of the legs of a right triangle.
We can use the Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
(6 m)^2 + (11 m)^2 = c^2
36 m^2 + 121 m^2 = c^2
c^2 = 157 m^2
c = sqrt(157 m^2)
c = sqrt(157) m
Answer: 12.5 m
Can someone please help fast!!
can you simplify this: 1/3(5x-8)+2/3x
Answer:(7/3)x - 8/3.
Step-by-step explanation:
To simplify this expression, you need to distribute the 1/3 to the expression inside the parenthesis. This gives:
1/3(5x-8) = (1/3)*5x - (1/3)*8 = (5/3)x - (8/3)
Now, you can distribute the 2/3 to the x-term:
2/3x = (2/3)x
Putting the two terms together, you get:
(5/3)x - (8/3) + (2/3)x = (5/3 + 2/3)x - 8/3 = (7/3)x - 8/3
So, the simplified expression is (7/3)x - 8/3.
Answer:
Step-by-step explanation:
1/3(5x-8)+2/3x
multiply everything by the LCM of the denomenators
LCM of the denomenators=3
1/3 x 3=0
(5x-8)x3=15x-24
2/3x x3=2x
15x+2x-24
=17x-24
Rewrite the expression \(\sqrt (4x)}\) using rational exponents
The expression √4x using rational exponents ( 4x )^{\frac{1}{2} } .
What is rational exponents?
Expressions having exponents that are rational values are known as rational exponents (also known as fractional exponents) (as opposed to integers ). It is beneficial to give rational exponents serious consideration even though all the standard exponent criteria still apply.What is Integer Exponents?
In mathematics, exponents that should be integers are known as integer exponents. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.√4x
use \(\sqrt[n]{a^{x} } = a^{x/n}\)
to rewrite
√4x = \(( 4x )^{\frac{1}{2} }\)
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What does the notation P(B|A) mean? Question content area bottom Part 1 Choose the correct answer below. A. The probability of event B occurring, given that event A has occurred B. The probability of event B occurring, divided by the probability of event A occurring C. The probability of event A occurring, given that event B has occurred D. The probability of both event A and event B occurring
Answer:
A. The probability of event B occurring, given that event A has occurred
Step-by-step explanation:
Conditional probability
A probability is conditional if is depends on what has already happened.
The probability that event B happens, given that event A has already happened is "B given A" or P(B | A)
Therefore, P(B | A) means "The probability of event B occurring, given that event A has occurred"
Additional information:
P(A | B) means "A given B", i.e. the probability of event A occurring, given that event B has occurred
P(A ∩ B) means the probability of event A and event B both happening.
what is the value of b?
Answer:
b = 44°
Step-by-step explanation:
Opposite angles are congruent.
Tickets for a raffle costs
9. There were 709 tickets sold. One ticket will be randomly selected as the winner, and that person wins
1300. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Expected Value = $
For a ticket buyer who pays $9 per ticket, the expected value of the raffle is $-7.17.
What is the expected value?The expected value is the product of the probability of an event occurring and the value of the observed occurrence.
As a probability-weighted value, the expected value is computed by multiplying the sum of the values by the probability of winning.
It is the mean of a random variable.
The cost per raffle ticket = $9
The number of tickets sold = 709
The winning value = $1,300
The probability of winning the raffle by one ticket = 1/709
Therefore, the expected value is $-7.17 [($1,300 x 1/709) - $9], that.
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an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles
Answer:
20° and 70°
Step-by-step explanation:
complimentary angle sum to 90°
let x be the compliment then the angle is 3x + 10 , so
x + 3x + 10 = 90 , that is
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
3x + 10 = 3(20) + 10 = 60 + 10 = 70
the 2 angle measures are 20° and 70°
Jasmine has a circular swimming pool with a radius of 4.2 meters. What is the circumference of the pool?
The circumference of the pool is 26.38 meters
How to determine the circumference?The radius, r is given as:
r = 4.2
The circumference, C is calculated using:
\(C =2\pi r\)
This gives
C =2 * 3.14 * 4.2
Evaluate
C = 26.38
Hence, the circumference of the pool is 26.38 meters
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45 points + brainlest please help due today
How do you think arithmetic sequences are similar to direct variation? How do they relate to linear functions? Full credit will be given to responses that answer both questions and are at least 5 sentences long. How do you think arithmetic sequences are similar to direct variation?
Answer:
Use the formula for direct variation, and this will help answer the last part of the question.
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between consecutive terms is constant.
Similarities in arithmetic sequence direct variations.An arithmetic sequence is a linear function. Instead of y=mx+b, we write an=dn+c where d is the common difference and c is a constant (not the first term of the sequence, however).
A recursive definition, since each term is found by adding the common difference to the previous term is ak+1=ak+d.
For any term in the sequence, we've added the difference one less time than the number of the term. For example, for the first term, we haven't added the difference at all (0 times). For the second term, we've added the difference once. For the third term, we've added the difference two times.
The formula for the general term of an arithmetic sequence is: an = a1 + (n-1) d.
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Please im begging you guys please please do it for me please
When Jamie has $200 to purchase skateboard equipment, he will have spent more than 50 percent.
How to calculate the percentage?From the information given, the total amount spent will be:
= $100 + $60 + $30 + $20 + $20 + $50 + $115
= $395
Since Jamie has $200 to purchase skateboard equipment, the percentage will be:
= 200/395
= 0.51
= 51%
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solve the following question
14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°
What is a trigonometric equation?A trigonometric equation is an equation that contains a trigonometric ration.
14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows
Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,
We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that
(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°
= 1² + 1² - 4cos²45°
We know that cos45° = 1/√2. So, we have
1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²
= 1 + 1 + 4/2
= 2 + 2
= 4
So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows
Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1
We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that
2(cos²θ - sin²θ) = 1
2(cos2θ) = 1
cos2θ = 1/2
Taking inverse cosine, we have that
2θ = cos⁻¹(1/2)
2θ = 30°
θ = 30°/2
θ = 15°
So, θ = 15°
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In the equation m = k + 3, m is the:
Answer:
Step-by-step explanation:
m is the dependent variable; it represents the value of a linear function of k:
m = f(k) = k + 3
If pencils sell at 6 for 59¢, how many pencils can be bought for $2.95?
30
First you divide 2.95 by .59, which is 5.
Then you multiply 6 by 5, and get 30!
22. You bought a CD for $16.95 and eight blank videotapes.
The total cost was $52.55 before the sales tax was added.
Solve the equation 8t + 16.95 = 52.55 to find the cost of
each blank videotape.
Answer:
t=4.45
Step-by-step explanation:
Carlos wants to rent a car. For the particular car he wants, Gentle Rental charges $185 per week plus 25 cents per mile driven. Rental Giant charges a flat fee of $275 per week. What is the number of miles driven so that renting from Gentle Rental cost Carlos less than renting from Rental Giant?
A. Less than or equal to 360 miles
B. Less than 360 miles
C. Less than or equal to 115 miles
D. Less than 1,840
Answer:
B. Less than 360 miles
Step-by-step explanation:
Let the number of miles driven be \(x\)
The cost of renting from Gentle Rental per week is
\(185+0.25x\)
The cost of renting from Rental Giant per week is \(275\).
Now we have to find after how many miles the cost of renting from Gentle Rental cost Carlos less than renting from Rental Giant
\(185+0.25x<275\\\Rightarrow 0.25x<275-180\\\Rightarrow x<\dfrac{90}{0.25}\\\Rightarrow x<360\)
So, the answer is less than 360 miles.