Answer:
-5/3 is the slope
Step-by-step explanation:
y = mx +b is the slope intercept form of a line where m is the slope and b is the y intercept
y = -5/3x -1
-5/3 is the slope and -1 is the y intercept
HELP PLEASE!!!!!!!!!!!!!!
Answer:
Savannah
Step-by-step explanation:
Emery has solved it incorrectly;
x = 100
Bug S Bug S and Bug F is fast. Both bugs start at 0 on a number line and move in the positive direction. The bugs leave 0 at the same time and move at constant speeds. Four seconds later, F is at 12 and S is at 8. When will F and S be 100 units apart?
Answer:
Let's call the speed of Bug F v_F and the speed of Bug S v_S. Since both bugs started at 0, we can express their positions at any time t as:
Position of Bug F = 12 + v_F * t
Position of Bug S = 8 + v_S * t
To find out when F and S will be 100 units apart, we need to find the time t at which their positions differ by 100 units. In other words, we need to solve the following equation:
|12 + v_F * t - (8 + v_S * t)| = 100
We can simplify this equation by expanding the absolute value and rearranging the terms:
|4 + (v_F - v_S) * t| = 100
Now we can split this equation into two cases:
Case 1: 4 + (v_F - v_S) * t = 100
In this case, we have:
v_F - v_S > 0 (since Bug F is faster)
t = (100 - 4) / (v_F - v_S)
Case 2: 4 + (v_F - v_S) * t = -100
In this case, we have:
v_F - v_S < 0 (since Bug S is faster)
t = (-100 - 4) / (v_F - v_S)
Since we're only interested in positive values of t, we can discard the second case. Therefore, the time at which F and S will be 100 units apart is:
t = (100 - 4) / (v_F - v_S)
t = 96 / (v_F - v_S)
We don't know the values of v_F and v_S, but we can use the fact that Bug F is at 12 and Bug S is at 8, four seconds after they started. This gives us two equations:
12 = 4v_F + 0v_S
8 = 4v_S + 0v_F
Solving these equations for v_F and v_S, we get:
v_F = 3
v_S = 2
Substituting these values into the equation for t, we get:
t = 96 / (3 - 2)
t = 96
Therefore, F and S will be 100 units apart 96 seconds after they start.
is csc2 x + sec2x=1 an identity
Answer:
Step-by-step explanation:
=
sin
2
x
+
cos
2
x
sin
2
x
cos
2
x
=
1
Answer:
explanation is below happy to help ya!
Step-by-step explanation:
Can someone help me please
Answer:
Ishaan is correct because snakes with 17 1/4 inches occured most often in the dot plot. Raj is incorrect because 17 3/4 didnt occur the most often but it was the highest length of the snake. Ishaan is correct.
Step-by-step explanation:
Lora's phone records data for screen time each week. Last week, she used 840 minutes. This week, Lora used 504 screen time minutes on the phone. Calculate the percent decrease in screen time this week.hurry pls
17%
34%
40%
67%
Answer:
40%
Step-by-step explanation:
840 - 504
= 336
336/840
= 0.4 × 100
= 40%
whats 4 x 1/8 in simplest form
Answer:
The simplest form of 48 is 12.
Step-by-step explanation:
hope that helps :)
The simplest form of the expression 4 x 1/8 will be 1 / 2.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that there are two numbers 4 and 1 / 8 multiplied by each other.
The solution of the expression 4 x 1/8 will be:-
E = 4 x ( 1 / 8 )
E = 4 / 8
E = 1 / 2
Therefore, the simplest form of the expression 4 x 1/8 will be 1 / 2.
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Kendra ran 12 miles in 72 minutes. If the ratio of miles to minutes is constant, how many mor miles can she run in 90 minutes than 72 minutes?
Answer:
12 miles = 72 minutes
1/6 miles = 1 minute (divide both side by 72)
15 miles = 90 minutes (multiply both sides by 90)
Step-by-step explanation:
answer - 15 miles
Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
∫x2/x1−20x2−125dx
Answer:
125/6(In(x-25)) - 5/6(In(x+5))+C
Step-by-step explanation:
∫x2/x1−20x2−125dx
Should be
∫x²/(x²−20x−125)dx
First of all let's factorize the denominator.
x²−20x−125= x²+5x-25x-125
x²−20x−125= x(x+5) -25(x+5)
x²−20x−125= (x-25)(x+5)
∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx
x²/(x²−20x−125) =x²/((x-25)(x+5))
x²/((x-25)(x+5))= a/(x-25) +b/(x+5)
x²/= a(x+5) + b(x-25)
Let x=25
625 = a30
a= 625/30
a= 125/6
Let x= -5
25 = -30b
b= 25/-30
b= -5/6
x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)
∫x²/(x²−20x−125)dx
=∫125/6(x-25) -∫5/6(x+5) Dx
= 125/6(In(x-25)) - 5/6(In(x+5))+C
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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1. Each letter in PENNSYLVANIA is written on a separate piece of paper and put into a
bag. You randomly choose a piece of paper from the bag.
a. What is the probability that you choose an N?
b. What is the probability that you choose an A?
c. What is the probability that you choose an E?
Answer:
A maybe
Step-by-step explanation: sorry if wrong
a. There are three N's in PENNSYLVANIA. The probability of choosing an N can be calculated as follows:
Probability of choosing an N = (Number of N's in the word) / (Total number of letters in the word)
Probability of choosing an N = 3 / 12
Probability of choosing an N = 1 / 4
Therefore, the probability of choosing an N is 1/4.
b. There are two A's in PENNSYLVANIA. The probability of choosing an A can be calculated as follows:
Probability of choosing an A = (Number of A's in the word) / (Total number of letters in the word)
Probability of choosing an A = 2 / 12
Probability of choosing an A = 1 / 6
Therefore, the probability of choosing an A is 1/6.
c. There is only one E in PENNSYLVANIA. The probability of choosing an E can be calculated as follows:
Probability of choosing an E = (Number of E's in the word) / (Total number of letters in the word)
Probability of choosing an E = 1 / 12
Therefore, the probability of choosing an E is 1/12.
Find the slope and the y-intercept of the graph of the linear equation.
- 4y + 2x = -20
Answer:
the answer is C
Step-by-step explanation:
-4y + 2x = -20
-4y = -20
y=5
I know i left some steps out but i am doing this in my math class right now so just trust me! Hope this helps!
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
how do i go about finding x° and ycm, please?
I've tried Sine Rule & Cosine Rule... I thought i had done it correctly until i worked out the angles added up to much higher than 180° so it cannot be correct... can anyone help?
From the solution;
x = 62.62°
y = 8.9 cm
What is the sine rule?The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.
By the use of the sine rule;
a/Sin A = c/Sin C
Sin C = cSin A/a
C = Sin-1(cSin A/a)
C = Sin-1(7.8 * sin 66.4/9.2)
C = 50.98°
B = 180 - (50.98° + 66.4)
B = 62.62°
Then;
a/Sin A = b/Sin B
9.2/Sin66.4 = b/Sin 62.62
b = 9.2 * Sin 62.62/Sin66.4
b = 9.2 * 0.89/0.92
b = 8.9 cm
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Help me it’s really important
Answer:
Step-by-step explanation:
Quadratic equation has been given as,
\(y=-x^{2} +6x+4\)
Converting this equation into vertex form,
\(y=-(x^{2}-6x)+4\)
\(y=-[x^{2}-2(3x)+9-9]+4\)
\(y=-[x^{2}-2(3x)+3^2]+4+3^2\)
\(y=-(x-3)^2+4+9\)
\(y=-(x-3)^2+13\)
By comparing this equation with the vertex form of a quadratic equation,
y = (x - h)² + k
Here, (h, k) is the vertex of the parabola.
Vertex of the parabola → x = 3, y = 13
Axis of symmetry → x = 3
Slove for x: 5x + 8x = 78
Answer:
x = 6
Step-by-step explanation:
5x + 8x = 78 , that is
13x = 78 ( divide both sides by 13 )
x = 6
Answer:
6
Step-by-step explanation:
5x + 8x = 78
13x = 78
x = 78/13
x = 6
_______
Hope this'll help!
b. Rewrite 4 x 63 as the product of a unit fraction and a whole number.
Solve.
Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6
How to multiply fractions?The parameters are given as:
Number - 4
Fraction - 3/6
The following steps can be used to determine the product as the product of a whole number and a unit fraction:
Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.
Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.
Step 3 - Write the given expression.
4 * 3/6
Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.
4 * 3 * 1/6
Step 5 - Simplify the above expression.
12 * 1/6
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The sum of two numbers is 15 and the difference is 4. Let the two numbers be x and y.
Write down a pair of simultaneous equations involving x and y. Solve the equations.
Answer:
x=9.5 and y=5.5
Step-by-step explanation:
x+y=15
x-y=4
add
2x=19
x=9.5
y=15-9.5
y=5.5
x=9.5 and y=5.5
Using the table of integrals, solve
The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.
The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.
To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.
It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.
Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.
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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A
How do we solve function using table of integral?Using the table of integral, we say
∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx
u = x+7 ⇒ du = dx
= ∫sec (u) du
Expand the fraction by tan (u) + sec (u)
= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)
= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du
Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du
= ∫(i/v)dv
= In(v)
Undo substitution v = tan(u) + sec(u)
=In(tan(u) + sec(u))
= In(tan(x+7) + sec(x +7))
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the bag of letter tiles include 15 vowels and 25 consonants. What is the probability of selecting two vowels one after another NEED HELP ASAP
Answer: 0.1346
Step-by-step explanation:
Number of vowels = 5 vowels
Number of consonants = 25
For us to calculate the probability of selecting two vowels one after another, we have to select the first vowels which will give a probability of 5/40, then we select the second vowel which will be 4/24 since there'll be 4 vowels left 39 alpahabets.
Therefore, probability of selecting two vowels one after another will be:
= 15/40 × 14/39
= 3/8 × 14/39
= 0.1346
Need this answered as soon as possible please!! Flo is designing a rectangular billboard using a scale drawing. the billboard is 6 m long. Flo draws a rectangle 12 cm long. The area of Flo's rectangle is 72 cm squared. What is the area of the billboard in square meters?
How much is a square foot if the room is 15ft x 28ft?
Answer:
1 foot squared
Step-by-step explanation:
Er... a square foot is 1 foot squared
21 20 15 22 19 23 17 what is the median and range
The median would be 22:
Step-by-step explanation: The median is the number that is in the middle
Simply defined, the median is the number right in the middle of a set.
But before I get down to finding the median, I will order the numbers from least to greatest:
15, 17, 19, 20, 21, 22, 23
Now, the middle number is 20. So that's the median.
As for the range, it's the difference between the largest number and the smallest one:
Range = Greatest number - Smallest number
= 23 - 15
= 6
In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.
-14 – x = -21 pls help
Answer:
x = 7
Step-by-step explanation:
Given equation,
→ -14 - x = -21
Now the value of x will be,
→ -14 - x = -21
→ -x = -21 + 14
→ -x = -7
→ [ x = 7 ]
Hence, the value of x is 7.
Answer:
x=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variable
Use implicit differentiation to find dy/dx and d^2y/dx^2.
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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If p represents “a number is divisible by 2,” q represents “a number is odd,” and r represents “a number is even,” what does this statement imply?
WILL MARK BRAINLIEST!!!!
Answer:
B
Step-by-step explanation:
idk y but still ur teacher can't do anything
6x + 5y = 3 solve for y
Answer:
-6/5x + 3/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.y
y= − 3+ 6 x
5 5
Which graph shows the new position of the rectangle after a translation?
The graph that shows the new position of the rectangle after a translation is; Option C
How to interpret Translation in Transformation?When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.
Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.
In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.
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Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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An economy is based on two sectors, transportation and manufacturing. Production of a dollar's worth of transportation requires an input of $0.20 from transportation and $0.15 from manufacturing. Production of a dollar's worth of manufacturing requires an input of $0.40 from transportation and $0.30 from manufacturing. If a final demand of $60 million for the transportation and $80 million for the manufacturing is to be satisfied, what must be the output for the manufacturing sector?
There is no unique output for the manufacturing sector that can satisfy the given final demand for transportation and manufacturing.
To determine the output for the manufacturing sector, we can set up a system of equations based on the given information. Let's denote the output for the transportation sector as T and the output for the manufacturing sector as M.
From the given information, we know that:
- Production of a dollar's worth of transportation requires an input of $0.20 from transportation and $0.15 from manufacturing.
- Production of a dollar's worth of manufacturing requires an input of $0.40 from transportation and $0.30 from manufacturing.
Using these statements, we can set up the following equations:
0.20T + 0.15M = $60 million (equation 1)
0.40T + 0.30M = $80 million (equation 2)
We can solve this system of equations to find the values of T and M
Multiplying equation 1 by 2, we have:
0.40T + 0.30M = $120 million (equation 3)
Now, subtracting equation 2 from equation 3, we get:
(0.40T + 0.30M) - (0.40T + 0.30M) = $120 million - $80 million
This simplifies to:
0 = $40 million
This means that the left-hand side of the equation is zero, and there is no valid solution that satisfies both equations simultaneously.
Therefore, there is no unique output for the manufacturing sector that can satisfy the given final demand for transportation and manufacturing. The given information seems to be inconsistent or incomplete.
It's important to note that the problem could be resolved by providing additional information or correcting any errors in the given data. Without further clarification, it is not possible to determine the output for the manufacturing sector.
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How would i do this problem? please help !
Answer:
hello. x =3
Step-by-step explanation:
\( - 8x = - 24 \\ \frac{ - 8x}{ - 1} = \frac{ - 24}{ - 1} \\ 8x = 24 \\ \frac{8x}{8} = \frac{24}{8} \\ x = 3\)
hope you u understand