Answer:
84 m²
Step-by-step explanation:
A= h(a+b)/2 = 7(8+16)/2 = 84
Use the following graph of the function f(x) = 3x^4 − x^3 + 3x^2 + x − 3 to answer this question: What is the average rate of change from x = −1 to x = 0?
A. −6
B. −3
C. 3
D. 6
9514 1404 393
Answer:
A. -6
Step-by-step explanation:
The average rate of change on that interval is given by ...
m = (f(0) -f(-1))/(0 -(-1)) = f(0) -f(-1)
m = -3 -(3) = -6
The average rate of change on the interval is -6.
Answer:
A. -6Step-by-step explanation:
#CarryOnLearningPlease can someone help will give brainliest. No links or will get banned?
Answer:
F
Step-by-step explanation:
9/15- ratio of two legs of the smaller triangle
13.5/x- ratio of two legs of the larger triangle
9/15= 13.5/x
cross multiply
9x= 202.5
x=22.5
If 3x + 10 = 10 + 2x, what is the value of x?
A) x = 4
B) x = -4
C) x = -1
D) x = 0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Can you help me with this question
Answer:
308 (Third Option)
Step-by-step explanation:
Have a Great Day! :D
What would be the 12th number in the following pattern: 1,1,2,3,5,8,13,21…?
Answer:
I believe its 34
Step-by-step explanation:
because for example the first 2 numbers are both 1 and 1 + 1 is 2 which is the 3rd number and 13 + 21 is 34 I really hope this helped
The table below show the approximate population of Virginia for 5 years. What is the
equation of the line of best fit?
Answer:
Y = 0.09X1 - 167.40
Step-by-step explanation:
Year (X) : 2000, 2004, 2006, 2007, 20008
Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77
Using technology, the regression model obtained is :
Y = 0.09X1 - 167.40
With a slope of 0.09 and intercept of - 167.40
I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”
Answer:
Radius, r = 2.80 cm
Step-by-step explanation:
Given the following data;
Volume of cylinder = 207 cm³
Height = 8.4 cm
Pie, π = 3.14
To find the radius of the water bottle;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a cylinder.
r represents the radius of the cylinder.
h represents the height of the cylinder.
Substituting into the formula, we have;
207 = 3.14 * r² * 8.4
207 = 26.376r²
r² = 207/26.376
r² = 7.85
r = √7.85
Radius, r = 2.80 cm
In Problems 59–62, find the length of each side of the triangle
determined by the three points P1, P, and Pz. State whether the
triangle is an isosceles triangle, a right triangle, neither of these, or
both. (An isosceles triangle is one in which at least two of the sides
are of equal length.)
59. P = (2,1); P2 = (-4,1); Pz = (-4,-3)
9514 1404 393
Answer:
right triangle
Step-by-step explanation:
Segment P1-P2 is horizontal of length 2-(-4) = 6. Segment P2-P3 is vertical of length 1-(-3) = 4. The horizontal and vertical sides are perpendicular to each other, so it is a right triangle. The sides are of different lengths, so it is a scalene triangle (not isosceles).
What is the correct answer???
Use the order of operations to find the value of the expression: 12 ÷ 3 + 4 x 5
40
42
24
18
which system or equation is represented in the graph?
(A) y=-2
x-2y=6
(B) y=-2
x+2y=6
(C) y=-2
2×-y=3
(D) y=-2
2×+y=-3
Answer:
[tex] (A)\displaystyle \begin{array} {ccc} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{array} [/tex]
Step-by-step explanation:
Equation of the blue line:since the line is horizontal and passes -2 the equation of the blue line should be
[tex] \displaystyle \large y = - 2[/tex]
Equation of the red line:remember The form of equation of a line
[tex] \displaystyle \boxed{ \displaystyle y = mx + b}[/tex]
where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3
to figure out m we can consider the following formula:
[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]
from the graph we acquire ∆y=1 and ∆x=2
thus substitute:
[tex] \displaystyle m = \frac{ 1}{ 2} [/tex]
so we have figured out m and b
therefore our equation of blue line is
[tex] \displaystyle y = \frac{1}{2} x - 3[/tex]
our given options are in standard form so
move -3 to left hand side and change its sign:
[tex] \displaystyle y + 3= \frac{1}{2} x [/tex]
cross multiplication:
[tex] \displaystyle 2y + 6= x[/tex]
move 6 to right hand side and x to left hand side and change its sign
[tex] \displaystyle - x + 2y = - 6[/tex]
multiply both sides by -1:
[tex] \displaystyle x - 2y = 6[/tex]
hence, our system of linear equation is
[tex] \displaystyle \begin{cases} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{cases}[/tex]
Which of the following expressions has the greatests value?
Help please I’ll give extra poubts
Answer:
the answer is B
Step-by-step explanation:
subtract 33 from 90
Samir bought 3 pounds of cement to repair the cracks in his sidewalk.
Each crack needs to be filled with 2 ounces of cement.
Answer:
The answer is 24 cracks will be filled
Step-by-step explanation:
hope it helps :3
16 ounces in a pound. convert pounds to ounces
calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.
The amount of cracks to be filled : 48 /2 = 24 cracks
Find the value of x and y
x = 45° , y = 45°
x = 117° , y = 117°
x = 27° , y = 63°
x = 63° , y = 27°
Step-by-step explanation:
X=63 and Y=27 is the correct answer.
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
Both sides of an equation can be multiplied by the same number without changing the solution of the equation.
Answer:
Just as you can add or subtract the same exact quantity on both sides of an equation, you can also multiply both sides of an equation by the same quantity to write an equivalent equation. Let's look at a numeric equation, to start.
Step-by-step explanation:
The triangle and the rectangle have the same area
calculate the value of w.
Show your working
Answer:
2.5 cm
Step-by-step explanation:
6*5=30
30/2=15
That's the area of the triangle
The area of the rectangle must also equal 15
6*w=15
Divide by both sides by 6
This gives you: 2.5
The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm
Used the formula of area of the rectangle and area of the triangle which states that,
Area of rectangle = Length × Width
And, Area of triangle = 1/2 × Base × Height
Given that,
The triangle and the rectangle have the same area.
Here, in a triangle;
Base = 5 cm
Height = 6 cm
So, the Area of the triangle is,
[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]
[tex]A = 15 \text{ square cm}[/tex]
In a rectangle;
Length = 6 cm
Width = w cm
So, the area of a rectangle,
[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]
Since the triangle and the rectangle have the same area.
So, equate both the area of the triangle and rectangle,
[tex]6 \times w = 15[/tex]
Divide both sides by 6,
[tex]w = \dfrac{15}{6}[/tex]
[tex]w = 2.5 \text{ cm}[/tex]
So, the value of w is 2.5 cm
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The nth term of a number sequence is n2-3
(a) Find the 4th term of this sequence.
b) Show that 40 is not a number in this sequence.
Here's the solution,
nth term = n² - 3
So, 4th term :
=》(4)² - 3
=》16 - 3
=》13
4th term of the sequence is 13
now, let's assume that 40 is a number in the sequence, then
=》40 = n² - 3
=》40 + 3 = n²
[tex]n = \sqrt{43} [/tex]
but, the term of the sequence should be a natural number, so our assumption was wrong, hence 40, can't be a number of this sequence.
Divide using common factors.
(x - 9) ÷ x^2 – 81
Answer: Hello Luv.......
Factor the numerator and denominator and cancel the common factors.
−(81−1x+9x2)
Step-by-step explanation:
Hope this helps. Mark me brainest please.
Anna ♥
Write the absolute value equation that is represented by the graph
Answer:
y = |x + 2| - 5
Step-by-step explanation:
Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his ... How much does Craig earn each month, in dollars?.
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Tan.
Multiple Thumbs-up ^_^
someone help
NO LINK IM SO FR NO LINKS
Answer:
I think iit's no consistent
Step-by-step explanation:
no consistent because there is no multiplying happening and no consistent adding happening
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
Can anyone help? I’ll give Brainly! Thank you :)
==============================================================
Explanation:
f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.
x^2-2x+3 = -6x
x^2-2x+3+6x = 0
x^2+4x+3 = 0
(x+3)(x+1) = 0 .... see note below
x+3 = 0 or x+1 = 0
x = -3 or x = -1
Note: 3 and 1 multiply to 3, and also add to 4.
---------------------
Once we get the x values, we plug them into either equation to find the y value.
So if x = -3, then
f(x) = x^2-2x+3
f(-3) = (-3)^2-2(-3)+3
f(-3) = 9 + 6 + 3
f(-3) = 18
or we could say
f(x) = -6x
f(-3) = -6(-3)
f(-3) = 18
Both versions produce the same output when x = -3.
The second version is easier to work with.
Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.
-----------
We'll use this idea for x = -1 now
f(x) = x^2-2x+3
f(-1) = (-1)^2-2(-1)+3
f(-1) = 1 + 2 + 3
f(-1) = 6
or we could say
f(x) = -6x
f(-1) = -6(-1)
f(-1) = 6
Like before, both versions of f(x) produce the same output when the input is x = -1.
The other solution is (-1, 6)
Choose the most reasonable estimate of the volume of a box with
dimensions as follows: width = 4.9 cm; length = 5.1 cm; height = 4.8 cm.
A. 75 cm3
B. 12 cm3
C. 50 cm3
D. 125 cm3
Answer:
D. 125cm
Step-by-step explanation:
Round each number for an estimate so you get 5 x 5 x 5 = 125
If x - 12y= -210 and x -6y=90, then x=
Answer: x = -30
Step-by-step explanation:
y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x
The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.
To find the value of x, solve the system of equations using the method of substitution . Let's use the method of elimination:
Given equations:
x - 12y = -210 (1)
x - 6y = 90 (2)
To eliminate x, we can subtract equation 2 from equation 1:
(x - 12y) - (x - 6y) = (-210) - 90
Simplifying the equation:
x - 12y - x + 6y = -210 - 90
-6y = -300
Divide both sides of the equation by -6:
y = -300 / -6
y = 50
Now, substitute the value of y back into either equation:
x - 6(50) = 90
Simplify the equation:
x - 300 = 90
Add 300 to both sides of the equation:
x = 90 + 300
x = 390
Therefore, the solution to the system of equations is x = 390 and y = 50.
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simplify (4.2^n+1 _ 2^n+2 )/(2^n+1 _ 2^n).
4.2^n+12^n+2/2^n+12^n
Step-by-step explanation:
The average height of Sally, Jackson, Tina and David is 150 cm per
person. The average height of Sally, Jackson and Tina is 145 cm per
person. Tina is 5 cm taller than David. Jackson is 4/5 as tall as
David. How tall is Sally? (in centimeters)
Answer:
129 cm
Step-by-step explanation:
The total height of all the people: 150 × 4 = 600 cm
The total height of Sally, Jackson and Tina: 145 × 3 = 435 cm
David’s height: 600 – 435 = 165 cm
Tina’s height: 165 + 5 = 170 cm
Jackson’s height: 170 × 4/5 = 136 cm
Therefore, Sally’s height: 600 – 165 – 170 – 136 = 129 cm
Thenks and mark me brainliest :))
The height of Sally will be 133 centimeters and the height of Jackson is 132cm.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The average height of Sally, Jackson, Tina, and David is 150 cm per person. Then the equation is given as,
(S + J + T + D) / 4 = 150
S + J + T + D = 600 ...1
The average height of Sally, Jackson, and Tina is 145 cm per person. Then the equation will be
(S + J + T) / 3 = 145
S + J + T = 435 ...2
Tina is 5 cm taller than David. Then the equation will be
T = D + 5 ...3
Jackson is 4/5 as tall as David. Then the equation will be
J = (4/5)D ...4
From equations, 1 and 2, then we have
435 + D = 600
D = 165 cm
From equation 4, then we have
J = (4/5) x 165
J = 132 cm
From equation 3, then we have
T = 165 + 5
T = 170 cm
From equation 2, then we have
S + 132 + 170 = 435
S = 133 cm
The height of Sally will be 133 centimeters.
More about the solution of the equation link is given below.
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