Answer:
k = -19
Step-by-step explanation:
Given
k + 11 = -8Subract 11 from each side.
k + 11 - 11 = -8 - 11k + 0 = -19k = -19Hey there!
Solve the equation :
Answer :k = -19 ✅
Explanations :k + 11 = -8
>> Substract 11 from both sides :
k + 11 - 11 = -8 - 11
>> Simplify :
k = -19
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There are 12 boys and 15 girls in Mr. Fraioli’s math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl
n = 12 + 15 = 27
Probability of choosing girl,
p = 15/27
Probability of choosing boy,
q = 1 - 15/27 = 12/27
[tex]P(X = 1) = \binom{27}{1} { (\frac{15}{27}) }^{1} ( { \frac{12}{27} )}^{26} \\ = 1.045552364 \times {10}^{ - 8} [/tex]
The probability that he will choose a girl will be equal to 15/27.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that there are 12 boys and 15 girls in Mr Fraioli’s math class. He will randomly call on one person to answer the problem of the day.
The probability that he will choose a girl,
n = 12 + 15 = 27
Probability of choosing a girl,
p = 15/27
Probability of choosing boy,
q = 1 - 15/27 = 12/27
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A ray of an angle that rotates about the center is called?
A ray of an angle that rotates about the center is called terminal arm of that angle.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
One arm is fixed, and one arm rotates around that vertex to make angles of different different measurements.
The fixed arm is called initial arm/initial side.
The moving arm is called terminal arm/terminal side.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
Thus, a ray of an angle that rotates about the center is called terminal arm of that angle.
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What is the approximate area of the triangle?
A. 12.5 square units
B. 18 square units
C. 21.5 square units
D. 31 square units
The solution is Option C.
The area of the triangle is 21.5 square units
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the triangle be A
Let the height of the triangle be H
The value of H = 7 units
Let the base of the triangle be B
The value of B = 6 units
Now , the area of the triangle is given by the equation
The area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
Area of Triangle = ( 1/2 ) x 7 x 6
Area of Triangle = 1/2 x 42
Area of Triangle = 42/2
Area of Triangle A = 21.5 square units
Therefore , the value of A is 21.5 units²
Hence , The area of the triangle is 21.5 square units
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Write equivalent fractions for 2/3 and3/5 using 15 as the common denominator
Answer:
2/3 would be 10/15 and 3/5 would be 9/15
Step-by-step explanation:
To get the common denominator of 15 you multiply the first fraction by 5 in the numerator and denominator and on the other fraction you multiply by 3 in the numerator and denominator.
If humans lost the ability to see all color except one, which color would you want to survive?
Answer:
The color blue. There’s many shades of blue and plus blue is my favorite color. I’ll be able to tell if I’m drinking water or not.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS*URGENT*During halftime of a game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 feet per second. The T-shirt is caught 38 feet above the field.
How long will it take the T-shirt to reach its maximum height?
What is the maximum height?
What is the range of the function that models the height of the T-shirt over time?
Answer:
y = 38 + 72t - 16t^2
Step-by-step explanation:
So, solve for t when y=48.
The max height is of course, when t = 64/32 = 2.
Which expressions result in an irrational number
Answer:
III ONLY
If right please make brainleist for others to learn from this answer thanks!
Step-by-step explanation:
[tex]\sqrt{25x^{2} } =-2x\sqrt{100x}[/tex]
I assume x is a real variable. Note that √(25x²) is a non-negative number for any real x.
Meanwhile, we observe that for -2x √(100x),
• it's only defined for x ≥ 0, and
• if x ≥ 0, then multiplying √(100x) by -2x makes the overall product non-positive, i.e. -2x √(100x) ≤ 0
In short, this eliminates any non-zero real solution, and we're left with x = 0.
We can arrive at the same result by working with the equation:
√(25x²) + 2x √(100x) = 0
5|x| + 20 x√x = 0
since √(x²) = |x| for all x.
Recall that |x| = x if x ≥ 0, and |x| = -x if x < 0.
• If x ≥ 0, the equation reduces to
5x + 20 x√x = 0
5x (1 + 4√x) = 0
5x = 0 or 1 + 4√x = 0
x = 0 or √x = -1/4
But √x ≥ 0 for x ≥ 0, so we throw out the second solution.
• If x < 0, the equation instead reduces to
-5x + 20 x√x = 0
-5x (1 - 4√x) = 0
-5x = 0 or 1 - 4√x = 0
x = 0 or √x = 1/4
x = 0 or x = 1/16
But we assumed x is negative, so we throw out both choices and get no solution for this case.
A circle's diameter is 4 feet.
What is the circle's circumference (use 3.14 for pi and round to the Nearest tenth)?
PLS HELP
Answer:
13
Step-by-step explanation:
The formula for cirmference is
C= π2 * r
we're using 3.14 as pi and r = radius.
the radius is always half of the diameter.
So in this case since the diamter is 4, the radius is 2. let's substitute these numbers.
C= 3.14 *2*2 and there your answer is 12.56 which rounded to the nearest tenth is 13.
Hope this helps :)
The circumference of a round mirror is 32 inches. What is the radius of the mirror?
Answer:
r=C/2pi
r= 32/2pi. pi=3.1415. 2pi= 2×3.1415 =6.2831
given that C= 32, therefore r=32/6.2831 =5.0930.
A store offers a 30% discount on a coat that originally sold for $120. The coat still does not sell, so the store offers another 30% o the sale price. What is the difference between this price and the price of the coat had it been marked down 60% all at once?A. $5. 80 B. $7. 40C. C. $10. 8 D. No difference; the resulting prices are the same
Answer:
C. $10.80
Step-by-step explanation:
Lets solve for first 30% discount
120/ 10 =12 (divided by 10 to get 10% of the whole)
12= 10% of 120
36= 30 % of 120 (multiplied by 3 to get 30%)
120-36= 84
Lets solve for second 30% discount
84/10 =8.4 (divided by 10 to get 10% of the whole)
8.4= 10% of 84
25.2 = 30% of 84 (multiplied by 3 to get 30%)
84-25.2=58.80 (subtracted the discount from the total to get the sale price)
Let's solve for what it would cost had they done 60% to begin with
120/10 = 12 (divided by 10 to get 10% of the whole)
12= 10% of 120
72= 60% of 120 (multiplied by 6 to get 60%)
120-72 = 48 (subtracted the discount from the total to get the sale price)
Let's solve for the difference between the two
58.80-48= 10.80
6. If the information given represents an arithmetic
sequence, find the 27th term.
a_1 = 49 and a_8 = 14
Since consecutive terms differ by a constant k in this sequence, we have
[tex]a_8 = a_7 + k[/tex]
[tex]a_8 = (a_6+k)+k = a_6+2k[/tex]
[tex]a_8 = (a_5+k)+2k=a_5+3k[/tex]
and so on down to
[tex]a_8 = a_1 + 7k[/tex]
Solve for k :
14 = 49 + 7k ⇒ -35 = 7k ⇒ k = -5
We then do the same as above but in the reverse direction:
[tex]a_9 = a_8+k[/tex]
[tex]a_{10} = a_9+k = a_8+2k[/tex]
[tex]a_{11} = a_{10}+k = a_8+3k[/tex]
and so on, up to
[tex]a_{27} = a_8 + 19k = \boxed{-81}[/tex]
Estimate the perimeter of the figure to the nearest whole number.
perimeter: about
units
Answer:
i d k
Step-by-step explanation:
we cant see your figure so
As the sample size gets larger, what happens to the size of the correlation that is needed for significance?.
If the sample size gets larger, the size of the correlation that is needed for significance will get smaller.
What will happen to the significance required when sample size increases?As the sample size gets larger, it's characteristics will become more and more like the population it is derived from which makes predictions more accurate.
As a result, the correlation size that is needed to decide significance will reduce. This tallies with the characteristic of the correletion coefficient to be lower when the sample size is greater.
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Which of the following could be the equation of the function below? on a coordinate plane, a curve crosses the y-axis at y = negative 3. it has a maximum at y = 1 and a minimum at y = negative 3. it goes through 1 cycle at pi. y = negative 2 cosine (4 (x pi)) minus 1 y = 2 cosine (x pi) 1 y = negative 2 cosine (2 (x pi)) minus 1 y = 2 cosine (4 (x pi)) 2
The equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
What are some properties of a cosine function?Suppose that we've got:
[tex]f(x) = a \cos (bx - c) + d[/tex]
Then, this function has:
Period = [tex]\dfrac{2\pi}{b}[/tex]Phase shift = [tex]\dfrac{c}{b}[/tex]Maximum value: a + dMinimum value: -a + dFor this case, we're given that:
The function crosses y-axis at y = -3The maximum value of the function is y = 1The minimum value of the funciton is y = -3It goes through 1 cycle at pi.All the options are of cosine function, so let the function be:
[tex]f(x) = a \cos (bx - c) + d[/tex]
Then, as per the given data about max and min. values, we get:
d+a=1
d-a = -3
Adding both equations,
2d = -2 => d = -1
Thus, -1+a = 1, and therefore a = 2
Since it goes through 1 cycle at pi, so its period = π
Thus, we get:
[tex]Period = \pi = 2\pi/b\\\\or\\\\b = 2[/tex]
Now since there is only third option which has d= -1, and b =2 so assuming at least one option was true, we get the needed function as described by the option C.
Thus, the equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1
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Answer:
C) y = -2cos(2(x + π)) -1
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Variable g is 8 more than variable w. variable g is also 4 less than w. which pair of equations best models the relationship between g and w? g = w − 8 g = w 4 w = 8g w = g − 4 g = w 8 g = w − 4 w = 8g w = g 4
A pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as linear equation in one variable.
We have :
Variable g is 8 more than variable w, mathematically we can write it as:
g = w + 8 ....(1)
Also, variable g is also 4 less than variable w, mathematically we can write it as:
g = w - 4 ....(2)
The equation (1) and equation (2) are representing the system of linear equation in two variables.
So, we have framed two linear equation, that is:
g = w + 8 and
g = w - 4
Thus, a pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
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Answer:
b
Step-by-step explanation:
Rani and Kajal are playing a card game using a standard 52 card deck.
Kajal will pick a card at random. If the card is a black card, she will win $5. If the card is a face card (jack, queen, or king), but not a black card, she will win $3. If she picks anything else, she will lose $10.
The image below shows a standard deck of playing cards.
What is Kajal's expected value of playing this game?
Answer:
not answered this question
Kajal's expected value of playing this game is -$1
Kajal's expected value of playing this gameThe given parameters are:
Picking a black ⇒ $5 (win)Picking a face card ⇒ $3 (win)Picking anything else ⇒ $10 (lose)There are 26 black cards in a standard 52 card decks.
So, we have:
P(Black) = 26/52
There are 6 face cards that are not black in a standard 52 card decks.
So, we have:
P(Face card and not black) = 6/52
There are 20 other cards not in the above categories.
So, we have:
P(Others) = 20/52
The expected value is then calculated as:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
E(x) = 5 * 26/52 + 3 * 6/52 - 10 * 20/52
Evaluate the products
E(x) = 130/52 + 18/52 - 200/52
Evaluate the sum and difference
E(x) = (130 + 18 - 200)/52
This gives
E(x) = -52/52
Evaluate
E(x) = -1
Hence, Kajal's expected value of playing this game is -$1
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Someone help me with this question
Answer:
Step-by-step explanation:
Defining CB
CB is not the hypotenuse of triangle ABC. The hypotenuse is the longest side of any right triangle. CB is the other side other than the hypotenuse that makes up <C. It is the adjacent side because AC and CB make up angle C.
Defining Cos(C)
All of this makes up what you need to know to define the Cos(C)
Cos (C) = adjacent side / hypotenuse.
adjacent side = 6
Hypotenuse = 10
Cos(C) = 6/10
Answer: B
Please help me i can’t figure it out
Answer:
51
Step-by-step explanation:
Always do parentheses first.
So 39-3=36
Then 36+6+3power of 2
36+6=42
42+3 power of 2
3 times 3 = 9
42+9=51
Answer:
51
Step-by-step explanation:
I got it right on the test
How many 30 degrees angles fit in a right angle?
Answer:
3
Step-by-step explanation:
A right angle is 90 degrees. 90/30=3
6 is the answer. hope this helpsssss
Evaluate the expression.
52−4⋅6+11
Enter your answer in the box.
Answer: 39
Step-by-step explanation: PEMDAS
(10^x/6) (10^x/8)=10^10
Answer:
(10^x/6)(10^x/8)=10^10
Exact Form: 6/253
In Decimal Form (rounded off): 0.02
Hope it helps! :)
Jasmyn is 4 years older than Sofie. three times Jasmyn age added to six times Sophie's age is 36. How old are Jasmyn and Sofie?
Answer:
Sophie is 2 and 8 months old
Jasmyn is 6 and 8 months old
Step-by-step explanation:
j = 4 + s
3j + 6s = 36
Solve for Sophie's age by substitution:
3(4 + s) + 6s = 36
12 + 3s + 6s = 36
12 + 9s = 36
9s = 24
s = 24/9 = 8/3 or 2 and 2/3
Sophie is 2 and 8 months old
Solve for Jasmyn's age:
j = 4 + s
j = 4 + 8/3
j = 12/3 + 8/3
j = 20/3 or 6 and 2/3
Jasmyn is 6 and 8 months old
I hope this helps!
Find x #4 please reallt emergency
Answer:
Step-by-step explanation:
3
HELP PLS I WILL MARK BRAINLIEST
Answer:
I believe the answer is 112.75 in2
Step-by-step explanation:
Friend is smart
At a skills competition, a target is being lifted into the air by a cable at a constant speed. an archer standing on the ground launches an arrow toward the target. the system of equations below models the height, in feet, of the target and the arrow t seconds after it was fired. which statement most likely describes the situation modeled by this system?
The answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.
What is Velocity?
Velocity is defined as when an object travels to a particular distance with respect to time in a particular direction then it is termed as velocity. Velocity is a vector quantity.
By definition, the equation of movement in its generic form is given by:
[tex]h(t)=-\dfrac{1}{2}gt^2+v_ot+h_o[/tex]
Where,
g: acceleration due to gravity
[tex]v_o[/tex]: initial speed
[tex]h_o[/tex]: initial height
The equation for the arrow is given by:
[tex]h=4+32t-16t^2[/tex]
Then, according to the definition, the initial velocity of the arrow is:
[tex]v_o=32 \ \dfrac{m}{s}[/tex]
Hence the answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.
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Answer:
Step-by-step explanation:
d on edge i took the test
The radius of a circle is 7 inches. What is the length of a 135º arc?
if x+3/3=y+2/2 then, x/3 = ?
Answer:
y-2
Step-by-step explanation:
x+3/3=y+2/2
cross multiply
2(x+3)=3(y+2)
2x+6=3y+2
2x=3y+2-6
2x=3y-4 (divide both sides by 2)
2x/2=3y-4/2
x=3y-2
therefore substitute x=3y-2 into x/3
3y-2/3
=y-2
For each order. Determine weather is a solution to x = -5
Solutions:
(-5,1)
(3,-5)
(9,2)
(-5,4)
Hideki was given a rare coin 9 years ago. The value of the coin has increased $6 every year since it was given to him. It is now worth $76. Which equayion can Hideki use to find the value, v, of the coin after a years of owning it?
A. V=6a+22
B. V=6a+76
C. V=6a+130
D. V=9a+22
E. V=9a+130
The question is an illustration of a linear function, and the value, v, of the coin after a year of owning it is (b) V = 6a + 76
How to determine the equation?The given parameters are:
Initial value = 76Rate = 6A linear function is represented as:
y = mx + c
Where m represents the rate, and c represents the initial value
This means that:
m = 6 and c = 76
So, we have:
y = 6x + 76
In terms of a and V, we have:
V = 6a + 76
Hence, the value, v, of the coin after a year of owning it is (b) V = 6a + 76
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