Answer:
c. 2
Step-by-step explanation:
As y increases 2 units as x increases 1 unit from (0, 3) to (1, 5)
the slope of the line is 2/1 = 2
On a day when the speed of sound is 343 m/s you drop a rock into a well and hear it hit the bottom 3s later. How deep is the well?
Answer:
1029
Step-by-step explanation:
d=s*t
s=343m/s
t=3s
=343m/s*3s
= 1029
4.40x2.50
i really need this please
Answer:
11
Step-by-step explanation:
If it is correct, could you please give me brainliest? I would really appreciate it! Thank you!
I need help with number 2...
For isosceles triangle RST the measure of angle T is 34 degree
In this question, we have been given a isosceles triangle RST with RS = RT.
So, by isosceles triangle theorem,
angle S = angle T
So, angle T = (3x - 2)°
We know that the sum of all angles of triangle is 180°
∠R + ∠S + ∠T = 180°
9x + 4 + 3x - 2 + 3x - 2 = 180°
15x + 4 - 4 = 180°
15x = 180°
x = 12
So, 3x - 2 = 3(12) - 2
= 34°
Therefore, for triangle RST the measure of angle T is 34 degree
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The height of a rectangular box is 7 ft. The length is 1 ft longer than thrice the width x. The volume is 798 ft³.
(a) Write an equation in terms of x that represents the given relationship.
The equation is
The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)
Let's break down the information given:
Height of the rectangular box = 7 ft
Length of the rectangular box = 1 ft longer than thrice the width (x)
Volume of the rectangular box = 798 ft³
To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.
The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.
Given that the height is 7 ft, we can substitute this value into the equation.
Volume = (Length) * (Width) * (7)
Now, let's focus on the length. It is described as 1 ft longer than thrice the width.
Length = 1 + (3x)
Substituting this value into the equation, we have:
Volume = (1 + (3x)) * (Width) * (7)
Since the volume is given as 798 ft³, we can set up the equation as follows:
798 = (1 + (3x)) * (Width) * 7
Simplifying further, we get:
798 = 7 * (1 + 3x) * (Width)
Dividing both sides of the equation by 7, we have:
114 = (1 + 3x) * (Width)
Therefore, the equation in terms of x that represents the given relationship is:
114 = (1 + 3x) * (Width)
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Math Homework: Unit 3 Assignment
Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}\)
so then line K has a slope of -5 and pass through (-1, -3)
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8\)
Which statement about the figure is false?
Answer:
what are the options and the figures???
Step-by-step explanation:
The total cost for a piece of land is 600000. If the land is 100 meter shorter and each meter costs 1000 more the total cost would remain unchanged. Use a quadratic equation to determine the length of the land.
Answer:
5,00000000
Step-by-step explanation:
6000000000
Identify the property being illustrated.
6x + 7 = 7 + 6x
Answer:
Commutative property of addition
What are the mathematical names for these shapes?
The mathematical names of the given figures are:
a. square pyramid
b. sphere
c. cube
d. triangular pyramid
What are Mathematical Names of Shapes?A pyramid has four triangular faces and a base that is usually a square. For example, figure A in the diagram is a square pyramid.A sphere is a three-dimensional shape that has a round, ball-like shape. Figure B is an example of a sphere.A cube is a three dimensional shape that has 6 square surfaces. An example of a cube is the shape in figure C. The shape in figure D is a triangular pyramid having a triangular base.Thus, the mathematical names of the given figures are:
a. square pyramid
b. sphere
c. cube
d. triangular pyramid
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What’s the answer x/5+7=16
Greetings from Brasil...
Solving this equation, we obtain:
X/5 + 7 = 16 multiplying everything by 5
X + 35 = 80
X = 45refer to attached
Answer:
45
Step-by-step explanation:
\(\frac{x}{5} = \frac{1}{5} x\)
First, we subtract 7 from each side
\(\frac{1}{5} x = 9\)
Next, we find the reciprocal of "1/5" and multiply that number on both sides
\(\frac{5}{1} * \frac{1}{5} x = \frac{9}{1} *\frac{5}{1}\)
Now, we multiply.
\(x = 45\)
finding the slope to points
Answer: there’s no slope?
Step-by-step explanation: confused
Answer:ya where the slope at
Step-by-step explanation:
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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without using a calculator, find the hypotenuse of a right triangle that has legs with lengths $264$ and $495$.
The hypotenuse of a right triangle will be $561$.
What is hypotenuse?
In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.
Lengths of legs of a right triangle are given that are $264$ and $495$.
According to The Pythagorean Theorem,
\(hypotenuse^{2} = lenght^{2} + lenght^{2}\\hypotenuse^{2} = 264^{2} + 495^{2}\\\\hypotenuse^{2} = 69,696 + 245,025\\ hypotenuse^{2} = 314,721\\hypotenuse = 561\)
The hypotenuse of a right triangle will be $561$.
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What is the length of CD?
Answer:
CD = 15
Step-by-step explanation:
Pre-SolvingWe are given two quadrilaterals: CDEF and GIJH.
We know that CD = 3x - 6, and GI = x + 8.
We want to find the length of CD.
SolvingFinding xNotice how CD and GI both have one tick mark on them.
This indicates that these two are congruent, meaning that they have the same length.
Because of that, CD = GI.
If we substitute 3x - 6 for CD and x + 8 for GI, we get:
3x - 6 = x + 8
Now, we can solve this like a regular equation.
Add 6 to both sides.
3x - 6 = x + 8
+6 +6
_________________
3x = x + 14
Subtract x from both sides.
3x = x + 14
-x -x
_____________-
2x = 14
Divide both sides by 2.
2x = 14
÷2 ÷2
____________
x = 7
Finding the length of CDWe found the value of x.
Now, substitute 7 as x in 3x-6 (the length of CD).
CD = 3x - 6 = 3(7) - 6 = 21 - 6 = 15
Therefore, CD = 15.
A manufacturer has 576 square inches of material available to construct the 6 faces of a carton, which will be in the shape of a rectangular prism. To maximize the volume, the carton will have dimensions such that the length and width are each twice the height.
To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).
What is the dimension required to maximize the volume of the box?Assuming the height of the rectangular prism is h inches.
According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.
The total surface area of the rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the values, we have:
576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)
576 = 8h² + 4h² + 4h²
576 = 16h² + 4h²
576 = 20²
h² = 576/20
h² = 28.8
h = √28.8
h = 5.37
The height of the prism is approximately 5.37 inches.
The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.
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Try to do 1 2 and 3 questions
Not the 4th question
Answer:
1. x=25
2. x=6
3. y=30; x=20
Step-by-step explanation:
1.) 180 - 130 = 2x
2x = 50
x = 50/2 = 25
2.) 24 = 3(x+2)
24 = 3x + 6
3x = 18
x = 18/3 = 6
3.) y = 46 - 16 = 30
x = 180 - 100 - 60 = 20
2. center (5, -6), radius 4
Answer:
(x - 5)² + (y + 6)² = 16
Step-by-step explanation:
assuming you require the equation of the circle
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (5, - 6 ) and r = 4 , then
(x - 5)² + (y - (- 6) )² = 4² , that is
(x - 5)² + (y + 6)² = 16
What is the end behavior of the graph of f(x) = x5 - 8x4 + 16x³?
O
O f(x)→→∞ as x→∞; f(x) →→∞ as x→ +∞
f(x)→∞ as x→-∞0; f(x) → +∞o as x→ +∞
O f(x) +∞o as x→-∞; f(x) →→→∞as x→ +∞
+∞o as x→∞0; f(x)→ +∞ as x→→ +00
O
f(x)
DONE
The end behaviour of the graph of f(x) \(=\) x⁵ - 8x⁴ \(+\) 16x³ is f(x)→∞ as x→∞; f(x) →-∞ as x→ -∞ , the correct option is (a) .
In the question ,
it is given that ,
the function is f(x) \(=\) x⁵ - 8x⁴ \(+\) 16x³ ,
In the function as x approaches -∞ , x⁵ will also approach -∞ , because negative number raised to the odd power , gives a negative result .
In the function as x approaches ∞ , x⁵ will also approach ∞ , because positive number raised to the odd power , gives a positive result .
that is f(x)→∞ as x→∞; f(x) →-∞ as x→ -∞
let us find the roots of the function ,
f(x) \(=\) 0
x⁵ - 8x⁴ \(+\) 16x³ = 0
taking x³ common ,
x³(x² - 8x \(+\) 16) = 0
x³(x² - 4x - 4x + 16) = 0 .... by using splitting the middle term method
x³(x(x - 4) - 4(x - 4)) = 0
x³(x - 4)(x - 4) = 0
which means x³ \(=\) 0 and x-4 = 0
that is x=0 and x = 4 .
So , the roots of the function f(x) are x=0 and x=4 .
This means that the graph has a repeated root and so it will touch the x-axis but not at the repeated root of x \(=\) 4.
Therefore , The end behaviour of the graph of f(x) \(=\) x⁵ - 8x⁴ \(+\) 16x³ is f(x)→∞ as x→∞; f(x) →-∞ as x→ -∞ , the correct option is (a) .
The given question is incomplete , the complete question is
What is the end behavior of the graph of f(x) = x⁵ - 8x⁴ + 16x³ ?
(a) f(x)→∞ as x→∞; f(x) →-∞ as x→ -∞
(b) f(x)→∞ as x→-∞0; f(x) → +∞ as x→ +∞
(c) f(x)→∞ as x→ -∞; f(x) →-∞ as x→ +∞
(d) f(x)→-∞ as x→∞ ; f(x)→ -∞ as x→∞
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help me solve the volume of the cylinder? 20 ft x 17 ft
Remember that the formula for the volume of a cylinder is:
\(V=\pi r^2h\)Where:
• r, is the ,radius, of the base
,• h ,is the height of the cylinder
Notice that the base has a diameter of 20 ft. Therefore, the radius is 10 ft.
Using this data and the formula, we get that:
\(\begin{gathered} V=\pi(10^2)(17) \\ \rightarrow V=5340.71 \end{gathered}\)The volume of the cylinder is:
\(2540.71ft^3\)wich line is a skew line to ad?
A . gh
B . ab
C. cd
D. bc
Answer:
BC
Step by step explanation:
opposite
How much money will you have in 6 months if you invest $1000 at 3%
compounded monthly?
A $1014.89
B. $1194.05
C. $2014.89
D. $14.05
Answer:
A
Step-by-step explanation:
I did the math, and the calculator does not lie
4 1/2 - 1 2/3 = ?
what is the question mark ?
Answer:
17/6 LMK if you need a different form.
Step-by-step explanation:
which of the following graphs best shows a strong negative association between dd and tt ?question 5 of 38reportchoose 1 answer:a scatterplot is graphed on the dt-plane. the data points form a loose diagonal cluster that trends downward.a scatterplot is graphed on the dt-plane. the data points form a tight diagonal cluster that trends shallowly upward.a scatterplot is graphed on the dt-plane. the data points form a tight diagonal cluster that trends upward.a scatterplot is graphed on the dt-plane. the data points form a tight diagonal cluster that trends downward.
The formula for determining the strength of a negative association between two variables is Pearson's Correlation coefficient (r).
This coefficient measures the degree of linear relationship between two variables and ranges from -1 to +1. If two variables have a negative association, the correlation coefficient will be negative.
For example, let's say we are looking at the relationship between daily consumption of donuts (dd) and daily temperature (tt). To calculate the Pearson's Correlation coefficient, we would first calculate the covariance of the two variables using the following formula:
Cov(dd,tt) = (∑ (dd - dd_mean) * (tt - tt_mean)) / n
Next, we would calculate the standard deviation of both variables using the following formula:
Stdev_dd = √(∑ (dd - dd_mean)^2/n)
Stdev_tt = √(∑ (tt - tt_mean)^2/n)
Finally, we would calculate the Pearson's Correlation coefficient using the following formula:
r = Cov(dd,tt) / (Stdev_dd * Stdev_tt)
If r is close to -1, then this indicates a strong negative association between dd and tt.
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B
Acellus
16 m
С
А
20 m
Find the area of AABC.
[?] m
Enter
Answer:
area of triangle = 1/2×base×height
=1/2×20m×6m
= 20m×6m=120square metre
Simplify 4x²y + 12z² + 6x²y – 2z.
10x²y + 12z² - 2z
10x²y + 14z²
20x²yz²
10x²y + 10z²
Answer:
Group the like terms together:
4x²y + 6x²y + 12z² - 2z
Simplify:
10x²y + 12z² - 2z
The simplified expression is 10x²y + 12z² - 2z.
Step-by-step explanation:
Answer:
The simplified expression is 10x²y + 12z² - 2z
Step-by-step explanation:
To simplify the expression, we combine like terms, which are terms that have the same variables raised to the same powers. In this case, we have two terms with the variable 4x²y and two terms with the variable -2z. We can combine these like terms by adding their coefficients:
4x²y + 6x²y = 10x²y
-2z + (-2z) = -4z
So the expression simplifies to:
10x²y + 12z² - 4z
We can further simplify this expression by combining the terms with the variable z:
12z² - 4z = 4z(3z - 1)
Therefore, the final simplified expression is:
10x²y + 4z(3z - 1)
We can also write this expression as:
10x²y + 12z² - 2z
which is the answer provided.
The function g is defined below . g(x) = (x - 5)/(x ^ 2 - 36) Find all values of x that are NOT in the domain of g. If there is more than one value, separate them with commas.
Answer:
-6, 6
Step-by-step explanation:
So we have the rational function:
\(g(x)=\frac{x-5}{x^2-36}\)
The domain of a rational function is all real numbers except for when x is a zero of the denominator.
Thus, to determine the domain restrictions, set the denominator to 0 and solve for x:
\(x^2-36=0\)
Add 36 to both sides:
\(x^2=36\)
Take the square root of both sides:
\(x=\pm 6\)
So, the values that are not in the domain of g is: -6, 6.
And we're done!
I WILL GIVE BRAINLIEST Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$120
B.$85
C.$70
Answer:
the answer is A
Step-by-step explanation: it is A because 45 percent of $166 is $47.7 and if you subtract it from 166 it turns out to be $118.3
Suppose tortilla chips cost 32.5 cents per ounce what would a bag of chips cost if it contained 20oz round the answer to the nearest cent
The Solution:
Given:
cost per ounce = 32.5 cents
Required:
To find the cost of a bag of chips that contains 20 oz.
Recall:
ounce = oz
\(\begin{gathered} 1\text{ oz}=32.5\text{ cents} \\ \\ 20\text{ oz }=20\text{ ounces} \\ \\ Cost\text{ of 20 oz is :} \\ \\ 20\times32.5\text{ cents=650 cents }=\text{\$}6.50 \end{gathered}\)Therefore, the correct answer is $6.50