Answer:
\(x=16\)
Step-by-step explanation:
In a triangle the sum of all angle measures will always equal 180 degrees.
\(A+B+C=180\)
From the information given we know that the angle measures are:
\(A= 90, B=(5x-3), C=(x+9)\)
When you input this into the equation above you get:
\(90+(5x-3)+(x+9)=180\)
First, subtract 90 from both sides
\((5x-3)+(x+9)=90\)
Next let's combine like terms
\(6x+6=90\)
Subtract 6 from both sides
\(6x=84\)
divide both sides by 6
\(x=16\)
plz mark me brainliest. :)
I need some Help please
Answer:
Answer is C.
integer are neither positive nor negative
Please make me brainliest answer
Given the definitions of f(x) and g(x) below, find the value of (fog)(-3).
f(x) = 3x² - 7x-3
g(x) = -4x - 10
The value of the composite function (f o g)(3) is 1603
How to evaluate the composite function?The functions are given as
f(x) = 3x² - 7x - 3
g(x) = -4x - 10
Next, calculate (f o g)(x) using
(f o g)(x) = f(g(x))
So, we have
(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3
Substitute 3 for x.
So, we have
(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3
Evaluate
(f o g)(3) = 1603
Hence, the value of the composite function (f o g)(3) is 1603
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A bag contains 10 red marbles and 5 blue marbles. What is the probability of choosing 2 red marbles without replacing the first?
Answer:
i think 5 percent but dont trust me xDDD
Step-by-step explanation:
H
6:00 PM
What is a frostbite?
Find the course and ground speed for the following: Track 090°, airspeed 300km/h; wind 060°, 50km/h.
The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.
What is the ground speed of the plane?The horizontal and vertical component of the airspeed is calculated as follows;
Vx = 300 cos(30) = 259.8 km/h
Vy = 300 x sin(30) = 150 km/h
The horizontal and vertical component of the wind velocity is calculated as follows;
Vx = 50 cos(60) = 25 km/h
Vy = 50 sin(60) = 43.3 km/h
To find the resultant velocity, we can add the x and y components separately:
Vx = 259.8 km/h + 25 km/h = 284.8 km/h
Vy = 150 km/h + 43.3 km/h = 193.3 km/h
The magnitude of the resultant velocity is calculated as;
V = √(284.8² + 193.3²)
V = 344.2 km/h
The direction of the resultant velocity is calculated as;
θ = arc tan (193.3/284.8)
θ = 34.2⁰
The resultant direction to true north is calculated as;
track = 34.2 + 60 = 94.2°
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what is the mean median mode and range of 98,89,76,93,89?
Answer:
Mean: 89
Median: 89
Mode: 89
Range: 22
Step-by-step explanation:
Answer:
89
Step-by-step explanation:
Mean-89
Median-89
Mode-89
add the quotient of 0.4 and 0.7 to the quotient of 1.4 and 0.4
The solution to the statement "add the quotient of 0.4 and 0.7 to the quotient of 1.4 and 0.4" is 4.07
How to determine the solutionFrom the question, we have the following parameters that can be used in our computation:
add the quotient of 0.4 and 0.7 to the quotient of 1.4 and 0.4
Using the above as a guide, we have the following:
0.4/0.7 + 1.4/0.4
Simplify the fractions
4/7 + 7/2
Evaluate the sum
4.07 (approximated)
Hence, the solution is 4.07
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What is amazing about the square of 111, 111, 111?
Answer:
The square of 111,111,111 is 12,345,678,987,654,321. What's amazing about it is that if you read the digits from left to right, then it's a palindrome. If you read the digits from right to left, it's also a palindrome. This property makes it a doubly-palindromic number, which is quite rare and interesting.
11/12 - 5/8 in simplest form
Answer:
7/24
Step-by-step explanation:
11/12 - 5/8
Get a common denominator of 24
11/12 * 2/2 = 22/24
5/8 *3/3 = 15/24
22/24 -15/24 = 7/24
Which of the following is true for the function f(x)=2cos(x2)
a. The period is π
b. The period is π2
c. The period is 2π
d. The period is 4π
e. The period is 2
Answer:
c. The period is 2π
Step-by-step explanation:
The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.
For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.
This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)
Problem 3Mr Tcha's recipe for fruit protein shake states that 2/3 of the total amount of ingredients should be fruit. The amount of yogurt in the recipe should be 1/4 of the amount of the fruit. If Mr. Tcha has 24 grams of fruits left over, how many grams of fruits and grams of yogurt did he use? What fraction of the total amount of ingredients is neither fruit nor yogurt?Show your work.
So,
Let "T" be the total amount of ingredients for the protein shake.
Let "F" be the aount of fruit, and let "y" be the amount of yogurt.
We know that 2/3 of the total amount of ingredients should be fruit, so we could write:
\(\frac{2}{3}T=f\)And, the amount of yogurt in the recipe should be 1/4 of the amount of the fruit. So:
\(\frac{1}{4}(\frac{2}{3}T)=y\)Given that He has 24 grams of fruits left over, we could write the following:
Given a bag of 20 m&m's with 5 red, 4 blue, 2 green, 4 brown and rest are yellow. What is the probability of pulling a green one and then, without replacing it, pulling a blue? Answer in decimal form
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total number of balls = 20
Red = 5
Blue = 4
Green = 2
Brown = 4
Yellow = 5
The probability of pulling a green one.
= 2/20
= 1/10
Number of balls remaining = 20 - 1 = 19
The probability of pulling a blue without replacing the first green one.
= Number of blue balls / Total number of remaining balls
= 4/19
Now,
The probability of pulling a green one and then, without replacing it, pulling a blue one.
= 1/10 x 4/19
= 4/190
= 2/95
= 0.021
Thus,
The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.
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Isabel bought a suit on sale for $561. This price was 34% less than the original price.
What was the original price?
Answer:
751.74
Step-by-step explanation:
561*.34=190.74
561+190.74=751.74
Answer
The suit being 27% less than the original also means he paid 73% of the original price (x). So,
0.73x=561
x=561/0.73
x=409.53
Original price was 409.53. Fancy suit. Step-by-step explanation:
there you go...
How many terms are in the expression when simplified
Answer:
There are four (4) different terms
Step-by-step explanation:
Given;
2x + 3xy - (x + y) + 2
The terms are simplified as follows;
=2x + 3xy - (x + y) + 2
= 2x + 3xy - x - y + 2
collect like terms;
= 2x - x - y + 3xy + 2
= x - y + 3xy + 2
Thus, there are four (4) different terms in the simplified expression.
(6m-7)x4. Please help meeee
Answer:
=6mx^4−7x^4
Step-by-step explanation:
(6m−7)(x^4)
=(6m+−7)(x^4)
=(6m)(x^4)+(−7)(x^4)
\(\huge\text{Hey there!}\)
\(\mathsf{(6m - 7)\times4}\)
\(\mathsf{= (6m - 7)(4)}\)
\(\mathsf{= (6m - 7) 4}\)
\(\mathsf{= 4(6m - 7)}\)
\(\mathsf{= 4(6m) - 4(-7)}\)
\(\mathsf{= 6m(4) + (-7)(4)}\)
\(\mathsf{= 6m(4) - 7(4)}\)
\(\mathsf{= 6m - 28}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Check all that apply.
x² - 4=0
A. X = -4
U
B. X = 2
DC. X = -2
]
D. X = -1
O E. x = 4
O F. X = 1
A
Answer:
x=2 (option B)
Explanation
x²-4=0
x²=4
x=2
When two angles and an included side of one triangle are congruent to the corresponding pieces of another triangle?
If two angles and the included side of one triangle are equal to the corresponding two angles and the included side of another triangle, then the two triangles are congruent.
What is the meaning of congruent triangles?
If two triangles have both the same shape and the same size then it is said that the two triangles are congruent. In other words, two triangles are congruent if they are copies of each other.
congruent if they are copies of each other. We can prove that two triangles are congruent if they satisfy any one of the following criteria:-
SSS (side side side ):- If three sides of one triangle are equal to the corresponding three sides of the other triangle.
SAS ( side angle side ):- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle.
ASA ( angle side angle ):- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle.
AAS ( angle angle side ):- If two angles and a none included side of a triangle are equal to the corresponding angles and side of another triangle.
RHS (right hypotenuse side ):- If the hypotenuse and one side of the right triangle are equal to the corresponding side and the hypotenuse of another triangle.
Hence, when two angles and an included side of one triangle are equal to the corresponding pieces of another triangle then the two triangles are congruent.
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what is y=2/3x-4 when the input is 18
Answer:
y=8
Step-by-step explanation:
not 100% but I think this is right.
Write168 to the nearest hundred
Answer:
200
Step-by-step explanation:
6 is closer to 10 than 0
Solve the equation. −2 1/4=r−4/5 will give brainiest for the first correct answer!!!
Answer:
r = -1 9/20
Step-by-step explanation:
-2 1/4 = r - 4/5
Switch sides:
r - 4/5 = -2 1/4
Add 4/5 to both sides.
r = -2 1/4 + 4/5
Change the mixed numeral into a fraction:
r = -9/4 + 4/5
The LCD is 20.
r = -45/20 + 16/20
r = -29/20
r = -1 9/20
Kareem says that the ratio 4 : 1 is equivalent to the ratio 12 : 9 because 4 1 8 5 12 and 1 1 8 5 9. Is Kareem correct? Explain how you know.
\(\bf Step-by-step~explanation:\)
Kareem's statement: 4:1 is equal to 12:9. Let's see if this is correct.
\(\bf Step ~1:\)
We have to simplify the ratios. Since 4:1 is already simplified, we do not have to do anything with it. 12:9 could be simplified. To do so, we need to find the greatest common factor (GCF) of both numbers. The GCF of 12 and 9 is 3. Since 3 is the GCF for both numbers, we divide them by 3.
\(\bf 12 /3=4\\9/3=3\)
First number: 4
Second number: 3
Ratio: 4:3
\(\bf Step~2:\)
We compare the ratio 4:3 to 4:1. Since they have different values, they are not equivalent to each other.
\(\large\boxed{\bf Our~final~answer: ~Kareem~is~wrong.}\)
\(\bf {Explanation~in~Step~1}\)
4 : 1 and 12 : 9 are not equivalent
Kareem is wrong
Correct question:
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because
4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know
4 : 1 is in its simplest form already
12 : 9
= 12/9
= 4/3
= 4 : 3
Therefore,
4 : 1 and 12 : 9 are not equivalent
Kareem is wrong based on his assumption that 4 + 8 = 12 and 1 + 8 = 9
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Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $18.95. Which is the better buy? Which Item cost less per golf ball? By how much?
use the unit circle sec(7/6)
Evaluate the sec (7/6).
Value of sec (7/6) by using the unit circle.
For calculating the value of sec (7/6) by using a unit circle.
Rotate the circle anticlockwise to form the 7 pi/ 6 angle with the positive x-axis.
Thus, the value of sec (7/6) is equal to the
\(\sec \text{ (}\frac{7\pi}{6})=-1.1547\)Label each of the triangles illustrated below
Answer:
a. Equilateral
b. Scalene
c. Isosceles
d. Right
e. Obtuse
f. Acute
Step-by-step explanation:
pf
6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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What is the equation of the line of best fit that Samir drew? OA. y = -x + 12 OB. O C. y = - + 18 y = -x + 12 y = -x + 18 OD.
Answer:
Answer: Choice A
y = (-2/3)x + 12
================================================
Work Shown:
We will only focus on the two points that are on the regression line.
Those two points are (3,10) and (12,4)
Let (x1,y1) = (3,10) and (x2,y2) = (12,4)
Find the slope of the line through (x1,y1) = (3,10) and (x2,y2) = (12,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 10)/(12 - 3)
m = -6/9
m = -2/3
Plug m = -2/3 and (x1,y1) = (3,10) into the point slope formula
Solve for y.
y - y1 = m(x - x1)
y - 10 = (-2/3)(x - 3)
y - 10 = (-2/3)x + (-2/3)(-3) ... distribute
y - 10 = (-2/3)x + 2
y - 10 + 10 = (-2/3)x + 2 + 10 .... add 10 to both sides
y = (-2/3)x + 12
This matches up with what the graph shows because the regression line intersects 12 on the y axis, so the y intercept is 12.
y = (-2/3)x + 12 is in the form y = mx+b with m = -2/3 as the slope and b = 12 as the y intercept.
The Strikers soccer team has 20 members, and 8 of them play offense. What percent of the team members play offense?
Answer:
40%
Step-by-step explanation:
We already have our first value 20 and the second value 8. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
Step 1 ⇒ Y = 8/20
By multiplying both numerator and denominator by 100 we will get:
Step 2 ⇒ Y = 8/20 × 100/100 = 40/100
Step 3 ⇒ Y = 40
Finally, we have found the value of Y which is 40 and that is our answer.
1.
I Which number line shows the solution to the inequality
-3x - 5 < -2?
A.
B.
C.
D.
-3 -2 -1 0 1
-3 -2 -1 0 1
0++
0 1
3 -2 -1 0
2 3
2 3
2 3
+++
-3 -2 -1 0 1 2 3
In a party, the first time the door bell rang, 6 guest arrived. On each succeeding ring, two more guests arrived than on the previous ring. After 10 rings, what was the number of guests at the party?
answer choices;
A. 21
B. 31
C. 29
D. 24
E. 28
Which of the following values are rational numbers?