Answer:
224
Step-by-step explanation:
Substitute x = 4 and y = 2 into the expression and evaluate
7x²y = 7 × 4² × 2 = 7 × 16 × 2 = 7 × 32 = 224.
Hope this helped you!
Find the interest on $5,432 at 6% for 2 years.
Answer:
the interest is 5.42
Step-by-step explanation:
Answer:
Interest = 5.42
Step-by-step explanation:
Suppose that y varies directly as x. When x is 7, y is 2. Solve for y when x is 63. (Enter an exact number.)
what's the slope of a line that passes through (-8,-16) and (18,5)?
Answer:
C. 21/26
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in our coordinates:
m = (5 + 16)/(18 + 8)
m = 21/26
Answer:
C. 21/26
Step-by-step explanation:
Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.
Here, our y-coordinates are -16 and 5, so:
5 - (-16) = 5 + 16 = 21
Our x-coordinates are -8 and 18, so:
18 - (-8) = 18 + 8 = 26
Now, we divide: 21/26.
The answer is thus C.
~ an aesthetics lover
Solve the compound inequality.
5 < 2x - 1<9
show your work solving the inequality
Answer:
x> 3 and x <5
OR
3 < x <5
Step-by-step explanation:
To solve the compound inequality, we will follow the steps below:
We will first break it into two inequalities.
That is;
5 < 2x - 1<9
5 < 2x - 1 AND 2x - 1<9
Then we will solve separately
5 < 2x - 1
add 1 to both-side of the equation
5 +1 < 2x - 1 +1
6 < 2x
Divide both-side of the inequality by 2
6 /2 < 2x/2
3 < x
x>3
we will now solve the other inequality
2x - 1<9
add 1 to both-side of the equation
2x - 1+1<9 +1
2x < 10
divide both-side of the inequality by 2
2x /2< 10/2
x < 5
Therefore x> 3 and x <5
or
3 < x <5
Answer:
[tex]x = (5 \: . \: 3)[/tex]
Step-by-step explanation:
To solve a compound inequality, seperate it into two inequalities:
[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ x < 5[/tex]
Find the intersection:
[tex]x = (5 \: . \: 3)[/tex]
A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive. What is the probability that the first two digits in the string are a 4 and a 2 , in that order?
Answer: 0.01.
Step-by-step explanation:
Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.
i.e. each place in 5 digit number has 10 choices.
Total ways to make such a number = [tex]10^5=100000[/tex].
If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000 [as 4 and 2 can be put on first and second place in 1 way ]
Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]
Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.
5n+6+(−7n) answer olz
Answer:
-2n + 6
Step-by-step explanation:
When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6
p% of m PLEASE HELP IMMEDIATELY
Answer:
pm/ 100 is answer.
Step-by-step explanation:
here, p% of m
=p/100× m
= pm/ 100 ...is answer.
hope its what you are searching for..
A hot air balloon holds 74,000 m3 of helium. The density of helium is 0.1785 kg/m3. What’s the mass of the helium inside the balloon when it’s full? ANSWERS: 6,529 kg 414,565 kg 740 kg 13,209 kg
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY HAVE 20 MINUTES
Answer:x=8 Y=-6
Step-by-step explanation:
14-2.5x=1.5x-18
+18. +18
32-2.5x=1.5x
+2.5x =2.5x
32= 4x
Divide 4 to both sides you get
8=x
Y=14-2.5(8)
Y=14-20
Y=-6
PLEASE HELP!!!! 5. POINTS EACH.
Answer:
question 3: 1/3 question 4: 5/7 question 5: 2/3
Answer:
1/3
5/7
2/3
Step-by-step explanation:
The numbers greater than 4 on a fair dice are 5 and 6.
2 numbers out of 6 or 2/6
2/6 = 1/3
Total parts = 7 + 12 + 18 + 5 = 42
12 are orange marbles.
42 - 12 = 30
30 marbles are red, yellow, and purple.
30/42 = 15/21 = 5/7
The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.
4 numbers out of 6 total numbers.
4/6 = 2/3
Definition: A method of solving a system of equations in which you obtain opposites to cancel one of the variables and solve for the other variable.
What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
(5m)² - (2n-3m)³ if m=-3 and n=5
= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3
= (-15)^2 - (10 - (-9))^3
= 225 - (19)^3
= 225 - 6859
= -6634
A six-sided die is rolled twice. What is the probability that the result of both rolls are
a 1?
01/6
2/36
1/36
2/6
Answer:
1/36
Step-by-step explanation:
If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them
Hope this helps
Answer:
1/36.
Step-by-step explanation:
Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.
The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.
The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.
So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.
Hope this helps!
Find the area of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 15 yards and hypotenuse 25 yards.
a.
20 yd
b.
150 yd
c.
60 yd
d.
300 yd
Answer:
B - 150 yd
Step-by-step explanation:
Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².
In this case, let's label the the missing side A, the height B, and the hypotenuse C.
X² + 15² = 25²
Then you must figure out what 15² and 25².
15² = 225
25² = 625
The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².
625 - 225 = 400.
Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.
√400 = 20.
The missing length of the triangle is 20 yards.
Now it's just a matter of finding the area by using the formula;
A = [tex]\frac{bh}{2}[/tex]
Or,
(20 × 15) ÷ 2 = 150.
And there's your answer. Don't forget to add the units.
Hope this helped.
what pattern exists in each period of 356,039?
Answer:
1/1
Step-by-step explanation:
because that is it
Put the following numbers in order from greatest to least 7 030 400, 70 000 200, 78 330, 790 300, 709 400, 70 800
Answer:
70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800
Step-by-step explanation:
Greatest is always the number with the most digits.
Answer:
70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800
Step-by-step explanation:
To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.
[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]
If F(x) =5x/3 +5
+5, which of the following is the inverse of F(x)?
O A. F'(x) = 5(x+5)
3
O B. F'(x) = 3(x+5)
5
C. F1(x) = 5(x-5)
O D. F'(x) = 3(-5)
Answer:
[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
Step-by-step explanation:
[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
The inverse of the linear function, f(x), f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is f⁻¹(x) = 3 (x -5) / 5
What is the inverse of a function?The inverse of a function is a function that reverses the effect the original function.
Here, we have,
The original function is; f(x) =5x/3 +5
The inverse of f(x) can therefore be found by making x the subject of the equation as follows;
f(x) = 5x/3 +5
f(x) -5 = 5x/3
(f(x) -5) 3 = 5·x
x = (f(x) -5) 3 / 5
x = 3 (f(x) -5) / 5
Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;
f⁻¹(x) = 3 ((x) -5) / 5
f⁻¹(x) = 3 (x -5) / 5
The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.
Learn more on the inverse of a function here: brainly.com/question/29652632
#SPJ7
What is the quotient of 6/7 divided by 3/14
Answer:
6/7 ÷ 3/14
= 6/7 × 14/3
= 2/7 × 14 (we cancelled 3 with 6)
= 2×2 (we cancelled 7 with 14)
= 4
hope it helps
Step-by-step explanation:
Answer:
[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]
Step-by-step explanation:
Hope this helps you!! ( BTW this means / Divide ).
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
33.33 %
Step-by-step explanation:
Difference:
=> 27 - 18 = 9
%age Increase:
=> [tex]\frac{9}{27} * 100 %[/tex]
=> 33.33 %
Answer:
33.3 %
Step-by-step explanation:
Solve for x: –|2x+3|=1
Step-by-step explanation:
-|2x+3|=1
-|2x+3|/-1=1/-1
|2x+3|=-1
2x=-1-3
2x=-4
2x/2=-4/2
x= -2
Image attached: geometry
===================================================
Explanation:
For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure
exterior angle = 40
We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180
interior angle = 180-(exterior angle) = 180-40 = 140
This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.
--------------------
side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.
Consider the quadratic function f(x) =
3x2–5x + 12. Which statements are true about the function and its
graph? Select three options.
Answer:
A, B, D
Step-by-step explanation:
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 1050 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:
What is the number of possible outcomes for the tree diagram below?
w
w
w
A. 8
B. 6
C. 4
0
D. 2
Answer:
4
Step-by-step explanation:
The length of a rectangle is 2 inches less than three times it’s width.and it’s perimeter is 36 inches .find the width of the rectangle. A. 5 in B .10 in C.4in
Answer:
A
Step-by-step explanation:
Let width =w in
Length = 3w - 2 in
Perimeter of rectangle = 36 inches
2* (length + width ) = 36
2*(3w -2 + w) = 36
2* (4w -2 ) = 36
2*4w - 2*2 = 36
8w - 4 = 36
Add 4 to both sides
8w - 4 + 4 = 36 +4
8w = 40
Divide both sides by 8
8w/8 = 40/8
w = 5
Width = 5 in
13. Write the equation of a horizontal line that passes through the point (3, -3).
O x = -3
Ox= 3
O y = 3
O y = -3
Answer:
O y = -3
Step-by-step explanation:
The line is horizontal.
x = -3 and x = 3 are vertical lines, so they are incorrect.
The line passes through (3, -3).
(x , y)
Put y as -3.
y = 3
(-3) = 3
Line y = 3 is incorrect.
(-3) = -3
Line y = -3 is correct.
Answer:
O y = -3
Step-by-step explanation:
Equations beginning with 'x=' would form a vertical line, not a horizontal line.
The point (3,-3) would satisfy y = -3.
-3 = -3
O y = -3 should be the correct answer.
Based on the graph of which statement is true?
A. The inverse of f exists.
B. The inverse of f does not exist.
Answer:
A
Step-by-step explanation:
Please help ASAP!!!!! I will give extra 20 points please help i really want to go roller blading !!!! The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Complete an input/output table for at least three pairs of inputs and outputs. Make sure to use values that make sense within the context of this situation.
Answer:
See below,
Step-by-step explanation:
Input Output
B H Perimeter (2B + 2H)
3 1 8
5 3 16
14 12 52
I hope this helps.
01:37:49
The function f(x) = −(x + 5)(x + 1) is shown.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 3, 4), and goes through (negative 1, 0).
What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to −3
all real numbers greater than or equal to 4
all real numbers greater than or equal to −3
Answer:
all real numbers less than or equal to 4
which agrees with the first answer option listed
Step-by-step explanation:
The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).
Therefore, the Range of y-values can have any real number that is smaller than or equal to 4
Answer:
all real numbers less than or equal to 4
Step-by-step explanation:
The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.
The range is all real numbers less than or equal to 4. (first choice)
Multiply: (x + 3)(x – 4)
What is the middle term in the simplified product?
Ox
O-X
3x
O4x
Answer:
- x
Step-by-step explanation:
[tex](x + 3)(x - 4) \\ = x(x - 4) + 3(x - 4) \\ = {x}^{2} - 4x + 3x - 12 \\ = {x}^{2} - x - 12 \\ middle \: term \: = - x[/tex]