Answer:
The answer is D. 7x-8
Step-by-step explanation:
We can solve this problem by finding the area of the rectangle, which is equal to the length times the width. In this case, the length is 2x-3 feet and the width is 5 feet. Therefore, the area of the rectangle is (2x-3)(5), or 7x-8.
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Answer:I can’t see
Step-by-step explanation:show fullscreen
riangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? (1 point) coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3
The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.
What is a Scale Factor ?The ratio by which the new image is bigger or smaller than the original image is the scale factor.
It is given that
Triangle A″B″C″ is formed using the translation (x + 0, y + 2)
and the dilation by a scale factor of 2 from the origin.
coordinate plane with triangle ABC at A (- 3, 3), B (1, - 3), and C (- 3, -3).
segment AC is equal to A''C'' over 2
Scale factor = 2
The coordinates are
A (- 3, 3), B (1, - 3), and c (- 3, -3) is translated using (x + 2, y + 0),
new coordinates
A'(- 1, 3), B'(3, - 3), and C'(- 1, -3).
The dilation by a scale factor of from the origin
A″ (-2, 6), B″ (6, -6) and C″(-2, -6)
By the distance formula
AB = [tex]\rm \sqrt {52}[/tex]
A''B'' = [tex]\rm \sqrt{ 8^2 + 12^2}\\[/tex] = 2 [tex]\rm \sqrt {52}[/tex]
Therefore
AB = A''B'' /2
Similarly AC = A''C'' /2
The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.
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Suppose you invest $130 a month for 6 years into an account earning 7% compounded monthly. After 6 years, you leave the money, without making additional deposits, in the account for another 21 years. How much will you have in the end?
2pr+2prh find the surface area of water tower that is 40 feet tall and has a diameter of 30 feet
The Surface area of the cylindrical tower is 5181 ft cube.
How to find surface area of a cylinder?Surface area of cylinder = 2πr² + 2πrh
where
r = radiush = heightTherefore,
r = 30 / 2 = 15 ft
h = 40 ft
Surface area of cylinder = 2πr(r + h)
Surface area of cylinder = 30π(40 + 15)
Surface area of cylinder = 30π(55)
Surface area of cylinder = 1650π
Surface area of cylinder = 5181 ft³
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Let p: A number is greater than 25.
Let q: A number is less than 35.
If p q is true, then what could the number be? Select two options.
24
28
32
36
040
If the following integral converges, state its value in the space provided. Otherwise, input divergent.
9
2-3
√3
dz
Consider the following "generic rectangle" where the area of each region is given. Write equivalent
expressions that express the area of the whole rectangle as a sum and as a product.
Answer:
sum: 3x² -4x -4product: (x -2)(3x +2)Step-by-step explanation:
The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.
SumThe total of the given area expressions is ...
3x² +2x -6x -4 = 3x² -4x -4 . . . . sum
ProductExtending the table to show common factors of each row and column, we have ...
[tex]\begin{array}{c|c|c|}&3x&2\\\cline{1-3}x&3x^2&2x\\\cline{1-3}-2&-6x&-4\\\cline{1-3}\end{array}[/tex]
Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...
(x -2)(3x +2) . . . . product
Create a tree diagram for flipping an unfair coin two times. The probability of H is 2/3 and probability of T is 1/3. Write the probabilities on each branch.
The probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The probability of H is 2/3 and the probability of T is 1/3.
P(HT) = P(H in the first trial)P(T in the second trial)
From the tree diagram:
P(HT) = (2/3)(1/3) = 2/9
Thus, the probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
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The length of the longer leg of a right triangle is 3 cm more than three times the length of the shorter
leg. The length of the hypotenuse is 4 cm more than three times the length of the shorter leg. Find the
side lengths of the triangle.
Length of the shorter leg:________ cm
Length of the longer leg:
cm
Length of the hypotenuse:
_cm
Answer:
the length of the shorter leg : 7 cm
the length of the longer leg : 24 cm
the length of the Hypotenuse : 25 cm
Step-by-step explanation:
a = 3b + 3
c = 3b + 4
and we know the general Pythagoras :
c² = a² + b²
(3b + 4)² = (3b + 3)² + b²
9b² + 24b + 16 = 9b² + 18b + 9 + b²
24b + 16 = 18b + 9 + b²
6b + 7 = b²
b² - 6b - 7 = 0
the general solution to such a quadratic equating is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x is called b.
a = 1
b = -6
c = -7
b = (6 ± sqrt((-6)² - 4×1×-7))/(2×1) = (6 ± sqrt(36 + 28))/2 =
= (6 ± sqrt(64))/2 = (6 ± 8)/2
b1 = (6+8)/2 = 14/2 = 7 cm
b2 = (6-8)/2 = -2/2 = -1 cm
a negative number did not make sense for a side length, so,
b = 7 cm
is our solution for one leg.
a = 3b + 3 = 3×7 + 3 = 24 cm
c = 3b + 4 = 25 cm
wice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
2 y + x = 5. 5 x minus y = 3.
2 x + y = 5. 5 y minus x = 3.
2 y + x = 5. y minus 5 x = 3.
2 x + y = 5. x minus 5 y = 3.
Answer:
2 y + x = 5 , 5 x − y = 3
Step-by-step explanation:
suppose x represents the smaller number and y represent the larger number.
Then
• The statement: “Twice a number added to a smaller number is 5”
means 2 y + x = 5
On the other hand,
•• The statement: “The difference of 5 times the smaller number and the larger number is 3”
means 5 x − y = 3
Ahanu cuts a board that is 2.25 ft long into two pieces, where one piece is 3 inches longer than the other piece. Find the length of each piece The shorter piece is The longer piece is ft long. ft long. Ahanu cuts a board that is 2.25 ft long into two pieces , where one piece is 3 inches longer than the other piece . Find the length of each piece .
Answer:
The shorter piece is 1.5 ft long.
The longer piece is 1.75 ft long.
Step-by-step explanation:
We are given that one piece is 3 inches longer than the other, which we can convert to 0.25 ft. We are also told that the total length of the board is 2.25 ft. This means that the two pieces must have lengths that add up to 2.25 ft.
Therefore, we can set up the equation:
x + (x + 0.25) = 2.25
Solving for x, we find that x = 1.5 ft, which is the length of the shorter piece. The length of the longer piece must then be 1.75 ft.
A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
- Find a function that represents the growth of this culture of bacteria as a function of time.
- How long does it take this culture of bacteria to double?
Thanks TT
The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
How to calculate Exponential Growth?
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
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8x + y = 23 plus -10x -y = -27
Answer:
13.5
Step-by-step explanation:
8x+y-10x-y=-27
-2x=-27
x=13.5
Answer:
64
Step-by-step explanation:
Question 15 (5 points)
image
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Question 15 options:
A)
B)
C)
D)
Answer:
You need to attach the pictures and ask again.
Step-by-step explanation:
I cannot see any attachments.
Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
• As the x-values go to zero, the function's values go
to positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero.
O As the x-values go to positive infinity, the function's
values go to positive infinity.
As the x-values go to negative infinity, the function’s values go to positive infinity.
How to determine the end behavior of a graph function?The end behavior of a function f(x) is given by; lim x → ∞ (f(x))
In the given graph attached, we can see that when as x goes to negative infinity (to the left) the y-values go up (toward positive infinity) since y is pointing upwards.
Thus, lim x → ∞ (f(x)) = ∞ and as such the correct option is As the x-values go to negative infinity, the function’s values go to positive infinity.
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there is a canned food sale at the supermarket. a case of 24 cans of peas is prices at $19.68. at the same rate what is the price of 10 cans?
Answer:
8.2
Step-by-step explanation:
We can find the unit rate of this problem by dividing 18.68 by 24 to get .82. .82*10 is equal to 8.2.
Question in attached file
The value of the expression [tex]\frac{x^2 + 3y^2}{xy}[/tex] is [tex]\frac{6y^2 + 2xy}{xy}[/tex]
How to solve the expression?The equation is given as:
[tex]x^2 - 2xy - 3y^2 = 0[/tex]
Add 3y^2 to both sides
[tex]x^2 - 2xy = 3y^2[/tex]
Add 3y^2 to both sides
[tex]x^2 + 3y^2 - 2xy = 6y^2[/tex]
Add 2xy to both sides
[tex]x^2 + 3y^2 = 6y^2 + 2xy[/tex]
Divide through by xy
[tex]\frac{x^2 + 3y^2}{xy} = \frac{6y^2 + 2xy}{xy}[/tex]
Hence, the value of [tex]\frac{x^2 + 3y^2}{xy}[/tex] is [tex]\frac{6y^2 + 2xy}{xy}[/tex]
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Whats the correct answer answer asap for brainlist
Answer:
Spain
Step-by-step explanation:
Pablo Picasso was born in Malaga, Spain.
Answer:
Málaga, Spain
Step-by-step explanation:
×|
-2
୦
1
2
f(x )
12.5
2.5
0.5
0.1
0.02
which exponential function is represented by the table
Answer:
1,2
Step-by-step explanation:
What is the difference of the given values to the correct level of precision?
22.108 L
– 5.80 L
Please help!!! What is the slope of a line that is perpendicular to this line?
[tex]\frak{Hi!}[/tex]
[tex]\orange\hspace{300pt}\above3[/tex]
If two lines are perpendicular to each other, their slopes
are negative inverses of each other.
Thus,
[tex]\boldsymbol{\sf{Slope\:of\:this\:line=4}}}[/tex]
[tex]\boldsymbol{\sf{Negative \ Inverse=-\displaystyle\frac{1}{4}}}[/tex]. See how this works?
We took 4, then took its opposite, and flopped that over
[tex]\orange\hspace{300pt}\above3[/tex]
Definition-:
Perpendicular lines are lines that intercept each other at a 90 deg. angle, which is usually called the right angle.
Find card(B) given that B={1,3,5,7,9,….9907}
The value of card(B) is card(B) = 4954
How to determine the card(B)?The set is given as:
B={1,3,5,7,9,….9907}
The above set is the set of odd numbers from 1 to 9907.
The number of elements is the cardinality
And it can be calculated using
L = a + (n - 1)d
Where
L = 9907
a = 1
d = 2
So, we have:
9907 = 1 + (n - 1)2
Subtract 1 from both sides
9906 = (n - 1)2
Divide by 2
n - 1 = 4953
Add 1 to both sides
n = 4954
This means that
card(B) = 4954
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The slope of the line below is -2. Use the coordinates of the labeled point to
find a point-slope equation of the line.
(4,-6)
® A. y + 6 = -2(x-4)
B. y-6= -2(x+4)
6 =2(×+4)
D. y + 6 =2(x - 4)
Answer:
Step-by-step explanation:
its A y+6=-2
What is the slope-intercept equation of the line below?
Answer:
D
Step-by-step explanation:
We will use the 2 coordinates marked on the graph as the reference.
The coordinates are:
A(4,-2)
B(0,3)
We know that the standard form for equation of line is:
y = mx+c
where m is the slope of the equation
and c is the y-intercept.
Very clearly, the y-intercept is where the line intercepts the y line.
and in this case, y-intercept = c = 3.
Now we know that the equation of line is now
y = mx + 3
To find m, the slope, we can use the 2 above coordinates.
slope of line = [tex]\frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}[/tex]
(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)
Equation of line: [tex]y=-\frac{5}{4} x+3[/tex]
Therefore the answer is D.
In rhombus ABCD below, AC=30 cm and BD=18 cm. Find the area of the rhombus .I will give brainliest for the best and correct answer.
True or false? To begin an indirect proof, you assume the converse of wha
you intend to prove is true.
OA. True
OB. False
Answer: B. False
Step-by-step explanation:
You assume the inverse of what you intend to prove is true, not the converse.
Anyone know how to do area or volume? Any help will do! thanks
Answer:
Volume: x(x+6)(x+2) Area: [tex]x^{2}[/tex] + 8x +12
Step-by-step explanation:
Volume Explanation:
To find the volume of a 3d figure, we must multiply the length, width, and the height. Therefore we multiply (x)(x+6)(x+2)= [tex]x^{3}[/tex] + 8[tex]x^{2}[/tex] + 12x. Simplify this equation and we will get x(x+6)(x+2) for the formula to find the volume of the 3D figure.
Area:
To find the area of a 2D figure, we must multiply length x height. Therefore, we multiply the equations (x+6)(x+2)= [tex]x^{2} + 2x + 6x +12[/tex] to get a final answer of [tex]x^{2} +8x +12[/tex]. This will be the formula when you find the area of the 2D figure in question.
What is the value of a in this equation?
Substituting into vertex form, we can write the equation of the parabola as
[tex]y=a(x-0)^{2}+9\\\\y=ax^{2}+9[/tex]
To find the value of a, we can substitute in the coordinates of another point the graph passes through, such as (3,0).
[tex]0=a(3)^{2}+9\\\\0=9a+9\\\\-9=9a\\\\a=\boxed{-1}[/tex]
what is proportional reasoning
Answer:
Making comparisons of numbers or values and considering relationships are also aspects of proportional reasoning.
Example:
A worker being paid by the number of hours he/her worked.
#EDIT #1
Mr. Gatting poured the same amount of pepper into each of the cylindrical pepper shakers shown below. The pepper in the shaker on the left is
filled to a height of 45 millimeters.
60 mm
OA 60 millimeters
OB. 95 millimeters
-32 mm
To what approximate height is the shaker on the right filled with pepper?
24 mm-
Note: Figures are not drawn to scale
100 mm
Answer:
80 mm
Step-by-step explanation:
the same amount (and that means the same volume) of pepper is in each shaker.
the volume of a cylinder is
base area × height = pi×r² × height
with r being the radius (which is always half of the diameter).
the volume of the filled in pepper in the first shaker is then
pi×(32/2)²×45 = pi×16²×45 = pi×256×45 = 11,520pi mm³ =
= 36,191.14737... mm³
now let's see what height in the second shaker we will reach by filling the same 11,520pi mm³ of pepper into it.
so, we have
pi×(24/2)²×height = 11,520pi
12²×height = 11,520
144×height = 11,520
height = 11,520/144 = 80 mm
so, the shaker on the right is filled up to 80 mm with pepper.
Answer:
80 mm
Step-by-step explanation:
I got it right on edmentum