Answer:
Step-by-step explanation:
The least common multiple of 3 and 4 is 12. Divide the rectangle in twelfths.
⅓ = 4/12
¼ = 3/12
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
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solve for x
(look at photo)
By definition of proportion, the value of x is,
⇒ x = 80
We have to given that;
In a triangle,
Perpendicular = 60
Now, By Pythagoras theorem we get;
60² = 36² + y²
3600 = 1296 + y²
y² = 3600 - 1296
y² = 2304
y = 48
Hence, By definition of proportion;
⇒ x / 48 = 60 / 36
⇒ x = 80
Thus, By definition of proportion, the value of x is,
⇒ x = 80
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find the gradient of the line segment between the points (-2,3) and (1,-4).
give your answer in its simplest form.
Answer:
-7/3
Step-by-step explanation:
Rise/Run = -4-3/1--2
= -7/3
Drag and drop 3 coordinates that satisfy the system
Coordinates are (0,0)(5,0) (0,-2) (-7,-5) (-2,-1) (4,-4) (-2,-8) (0,5)
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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3. You receive an order for 0.5 g of Tigan IM. You have a 5 mL vial labeled 100 mg/mL. What is the
volume you will need to fill the order?
a. 2 mL
c. 0.5 mL
b. 5 mL
d. 0.02 mL
Answer:
52
Step-by-step explanation:
mr jones told his students they each need half of a piece of paper calvin cut his piece of paper horizontally and mathew cut his piece of paper diagonally which student has the larger area on his half piece of paper
Answer:
Both
Step-by-step explanation:
After cutting the paper, both Calvin and Matthew have the same area. Calvin cut his into two rectangles that are each half the area of the original piece of paper. Matthew cut his paper into two equivalent right triangles that are also half the area of the original piece of paper.
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)
If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:
Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).
Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).
Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).
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Beep Bloop Beep I need help pleeep :D
Please help I’m really stuck this is my last attempt
What is the mode for the set of data?
Ages
Stem Leaves
5 0, 4, 6
6 0, 2, 3, 4, 8, 8, 9
7 0, 2, 3, 4, 4, 4, 8, 9
8 4, 5, 6, 8
5|0 = 50 years old
33
68
4
74
Answer:
I THINK IT IS 74 NOT 4
I HOPE THIS HELPS!!!!!
the product of n and 6 divided by 4 in algebraic expression
Answer:
\(6n \div 4\)
Step-by-step explanation:
n is a variable and multiplied by 6, so it is attached to 6. (6 is known as the coefficient.) Then it is divided by 4. (4 is known as the constant because there is no variable attached to it.)
\(6n \div 4\)
Please awnser asap I will brainlist
The result of the row operation on the matrix is given as follows:
\(\left[\begin{array}{cccc}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right]\)
How to apply the row operation to the matrix?The matrix in this problem is defined as follows:
\(\left[\begin{array}{cccc}2&0&0&16\\0&8&0&3\\0&0&5&6\end{array}\right]\)
The row operation is given as follows:
\(R_1 \rightarrow \frac{1}{2}R_1\)
The first row of the matrix is given as follows:
[2 0 0 16]
The meaning of the operation is that every element of the first row of the matrix is divided by two.
Hence the resulting matrix is given as follows:
\(\left[\begin{array}{cccc}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right]\)
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Segment AB has endpoints A(-2, 3) and B(6, 11). Find the coordinates of the midpoint of AB.
Midpoint =
Answer:
Midpoint = (2,7)
Step-by-step explanation:
Which fractions have a LCD of 30?
A 3/4, 1/7, 1/6
B 2/3, 1/5, 1/15
C 2/15, 1/4, 1/3
D 2/3, 1/6, 1/5
Answer:
B
Step-by-step explanation:
2/3, 1/6, and 1/5 fractions have an LCD of 30 which is correct option(D).
What is LCD?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
LCD by division of prime numbers
(D) 2/3, 1/6, 1/5
The factors of the denominators 3, 6, 5
3 = 3 x 1
6 = 3 x 2 x 1
5 = 5 x 1
The LCD = 3 x 2 x 5 = 30
Hence, 2/3, 1/6, and 1/5 fractions have an LCD of 30.
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What is the slope of a line that that contains the points (-5, -4) and (-1, -2)
Answer:
the answer is m=1/2
Step-by-step explanation:
if my answer right or wrong tell me and plz a like and rate. THANK YOU
the camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answer:
38.88
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
I WILL GIVE YOU BRAINLIEST! PLEASE HURRY IM TIMED.
answer choices
A. The second barrel is larger and the first barrel is emptied at a faster rate.
B. The first barrel is larger and the second barrel is emptied at a faster rate.
C. The second barrel is larger and is emptied at a faster rate.
D. The first barrel is larger and is emptied at a faster rate.
4 cm 4 cm 7 cm 4 cm area of base 6.9 cm²
The rectangular prism has a volume of 166.4 cm3.
Define rectangular prism.A rectangular prism is a homogeneous three-dimensional structure having six sides and rectangular basis. A rectangular prism also functions as a cuboid. A cuboid and a rectangular prism share a similar cross-section.
Lets use the given formula to determine a cylinder's volume:
Volume = π × radius² × height
Given:
Radius = 4 cm
Height = 7 cm
Volume = π × 4² × 7
Volume = π × 16 × 7
Volume = 112π cm³
Using the following formula, we can now determine the base's area:
Area of the base = π × radius²
Given:
Radius = 4 cm
Area of the base = π × 4²
Area of the base = 16π cm²
Thus, the cylinder's volume is 112π cm³ and its base area is 16π cm².
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Emma is going to invest $5,300 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Emma to end up with $7,700?
Answer: r=2.0%
Step-by-step explanation:
If a polynomial function has integer coefficients, then every rational zero of the function has the form p/q, where p is a factor of the ? and q is a factor of the ?
If a polynomial function has integer coefficients, the every rational zero of the function has the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
The rational zero theorem says that if a polynomial has integer coefficients then any rational zeros must be of the form p/q where p is the factor of the constant term and q is the factor pf the leading coefficients.
The rational zero theorem is used to determine the rational roots of a polynomial function.
Rational Zero Theorem statement:-
The rational zero theorem states that each rational zero(s) of a polynomial wit integer coefficients
f(x) = anxⁿ + an-1xⁿ⁻¹ + ... + a₂x² + a₁x + a₀ is of the form p/q where,
p is a factor of the constant a₀,
q is a factor of the leading coefficient an,
and p and q are relatively prime.
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What is the value of the expression All of 3.6 multiplied by 10 to the power 8 over all of 1.2 multiplied by 10 to the power 3?
Mhanifa u helped me with this question.... U said it was 25 and its not so why is it wrong
Hey I don't know who Mhanifa is but 25 is correct, and I will put the entire explanation to how to get the answer here.
First of all the 2 lines on the left and right side of the triangles are means that those 2 lines are equal and thus forming a isosceles triangle.
This means that the bottom right angle is also 2x+2 degrees.
Now because all 3 angles in a triangle adds to 180 degrees, we can set up equation.
3x+1+2x+2+2x+2=180
Now combine like terms
7x+5=180
Then solve, first subtract 5 from both sides.
7x=175
Now divide 7 from both sides
x=25
Step-by-step explanation:
As we can see it is an isosceles triangle so
2x + 2° + 2x + 2° + 3x + 1°= 180° { being sum of angles of triangle }
7x + 5 = 180°
7x = 180° - 5°
7x = 175
x = 25°
25 is the correct answer..
Find the solutions and explain
\(y = \frac{1}{5} -x - 2\)
\( - \frac{1}{5}x + y = - 2\)
Answer:
Hope this helps!
(correct me if I'm wrong, but please polity)
Step-by-step explanation:
prttysphia
A hotel manager records the number of bookings made at various prices during July.
What type of correlation does the graph show?
A. strong positive correlation
B. weak positive correlation
C. strong negative correlation
D. weak negative correlation
E. no correlation
Answer:
C. strong negative correlation
Step-by-step explanation:
I would say the answer is C. a strong negative correlation.
Firstly, the graph is 'going downwards', meaning that the relationship is negative. This is because one variable decreases when the other is increased. I think it is a strong relationship because the trend is quite clear through the points and the slope is moderately steep.
Hope this helped!
You are purchasing a t.v for $990 t.v with $9 sales tax.what is the final price of the t.v
Over the last three evenings, Maria received a total of 129 phone calls at the call center. The second evening, she received 4 times as many calls as the third evening. The first evening, she received 9 more calls than the third evening. How many phone calls did she receive each evening
Answer:
298020Step-by-step explanation:
Since the problem description tells you the numbers in terms of the calls received on the third evening, let that value be represented by x. Then we have ...
first evening's calls: x + 9
second evening's calls: 4x
third evening's calls: x
Total calls = 129 = (x +9) +4x +x = 6x +9
x = (129 -9)/6 = 20
Maria received 29 calls the first evening, 80 calls the second evening, and 20 calls the third evening.
A fair coin is continually flipped until heads appears for the 10th time. Let X denote the number of tails that occur. Compute the probability mass function and the expected value of X.
Answer:
P (X = i) = (i + 9 _ 9) (1/2)^(i + 10)
Step-by-step explanation:
Range of X = {0, 1, 2, 3......10}
P (X = i) = P (NB (10, ½) i = 10)
P (X = i) = (i + 9 _ 9) (1/2)^10 (1/2)^(1+10-10)
P (X = i) = (i + 9 _ 9) (1/2)^10 (1/2)^1
P (X = i) = (i + 9 _ 9) (1/2)^(i + 10)
What is the asset turnover?
Answer:
the ratio of total sales or revenue to average assets
Step-by-step explanation:
djjcjdm.x....
Answer:
Days of Asset Turnover The Enterprise Accounting System specifies that the net revenue from main business of an enterprise should be the amount of revenue from main business after deducting sales discounts and sales discounts, which is called net revenue from main business. Total asset turnover ratio = total sales revenue / average total assets x 100%.
Step-by-step explanation:
Solve y = x + 8 for x.
A. x = y + 8
B. x=y - 8
C. x= -y + 8
D. x= -y - 8
Estimate the diameter of a circle with a circumference of 80 feet
1. 12.74 feet
2. 25.48 feet
3. 40 feet
4. 50.96 feet
Answer:
2) 25.48
The diameter of the circle d = 25.48
Step-by-step explanation:
Step(i):-
we know that the diameter of a circle d = 2 r
The circumference of the circle = 2π r
Given that the circumference of the circle = 80 feet
Step(ii):-
The circumference of the circle = 2π r = 80
⇒ π (2r )= 80
⇒ πd = 80
⇒ \(d = \frac{80}{3.14}\)
d = 25.477
Final answer:-
The diameter of the circle d = 25.477