Answer:
First of all this is a negetive slope so it goes down and its y-intersect is -4
and it is a slope of -8/6 or -1 2/3
So the slope is
-8/6-4
Hope This Helps!!!
The price of a local newspaper increases from 80p to £1.
Find the percentage increase
Answer:
25%Step-by-step explanation:
The price of a local newspaper increases from 80p to £1.
Find the percentage increase
increase = Increase ÷ Original Number × 100
increase = 1 : 0.8 x 100
increase = 125
so the percentage increase is
125 - 100 =
25%
in circle V, r=14. What is the area of circle V
Answer:
\(\pi\)\(14^{2}\) or \(\pi 196\\\)
Step-by-step explanation:
The circle V has the radius of 14 (r=14)
The formula of area is (A=\(\pi r^{2}\))
So we insert the value of (r=14)
\(A=\pi 14^2\)
\(A=\pi 196\)
And that's the answer, The exact value is 615.752...
Answer: 196 pi
Step-by-step explanation:
Find the volume of the following figure
There is a photo of the question below it is in regards to principal and interest
Step-by-step explanation:
SI=P×R×T/100
=90000×6×10(12)\100
=648000
amount=principal+simple interest
648000+90000
738000
What slope would make the lines
parallel?
y = 4x + 2
y = [?]x-4
Enter the number that belongs in the green box.
Answer:
4
Step-by-step explanation:
Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4
Answer:
Step-by-step explanation:
Slopes of parallel lines are the same.
m = 4
From the top of a building 30 meters high, the angle of elevation to the top of a monument is found to be equal to the angle of depression to the foot of the monument. Find the height of the monument.
The height of the monument is 30 meters.
We have,
Let's assume the height of the monument is "h" meters.
From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.
In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.
The opposite side of the angle of depression is the height of the monument, which is "h" meters.
Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.
Therefore, the opposite sides are equal in length.
By setting up the equation:
h = 30
Thus,
The height of the monument is 30 meters.
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i need help and don’t know what to do
⇒The next three terms of the sequence are 0, 1 and 2.
⇒The graph does not represent a function.
What is sequence?
In mathematics, a sequence is a list of components, usually numbers, where the components' order is important. Here, everything fits into a predetermined pattern. In real life, we encounter sequences frequently. Sequences include things like house numbers in a row, salary increases over time (by a set dollar amount or percentage), book pages, etc.
A list of numbers (or other components) that follow a specific pattern is called a sequence. Olivia, for instance, has been given a job with a starting monthly pay of $1,000 and a $500 annual raise. Are you able to determine her monthly pay for the first three years? $1000, $1500, and $2000 will be the amounts. Observe how Olivia's pay over a number of years forms a sequence because the numbers always increase by $500, following a pattern.
⇒The next three terms of the sequence are 0, 1 and 2.
⇒The graph does not represent a function.
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Use the Durham ...................
Answer:
18+18+10+10=56 (its a rectangle
formula for density
formula for density
Answer:
The formula for density (ρ) is:
Density (ρ) = Mass (m) / Volume (V)
Step-by-step explanation:
Where:
Density is measured in units such as kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).Mass is the amount of matter in an object and is typically measured in kilograms (kg) or grams (g).Volume is the amount of space occupied by an object and is typically measured in cubic meters (m³) or cubic centimeters (cm³).if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are 9 rolls, hence \(n = 9\).Of the six sides, 2 are 3 or 4, hence \(p = \frac{2}{6} = 0.3333\)The desired probability is:
\(P(X \geq 2) = 1 - P(X < 2)\)
In which:
\(P(X < 2) = P(X = 0) + P(X = 1)\)
Then
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026\)
\(P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117\)
Then:
\(P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143\)
\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857\)
0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
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Angles and Parallel Lines
Answer:
a = 6
b = 25
Step-by-step explanation:
As alternative angles in a parallel line are equal to each other,
5a = 3a + 12
So, now we can find the value of a by making "a" the subject.
5a - 3a = 12
2a = 12
Divide both sides by 2.
a = 6°
And now let us find the value of b.
We know that interior angles in a triangle are added up to 180°.
So,
2b + 4b + 3a + 12 = 180
We can replace a with 6 and then we can make "b" the subject to find the value of b.
Let us solve it now.
2b + 4b + 3 × 6 + 12 = 180
6b + 18 + 12 = 180
6b + 30 = 180
6b = 180 - 30
6b = 150
Divide both sides by 6.
b = 25°
Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 16, with the indicated cross sections taken perpendicular to the x-axis.
a. squares
b. equilateral triangle
c. semicircle
d. Isosceles right triangle
(a) Volume of Square is 1024/3.
(b) Volume of equilateral triangle is 256√3/3.
(c) Volume of semicircle is 128π/3.
(d) Volume of isosceles right triangle is 512/3.
What is volume?
A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, different imperial units, or US customary units. Volume definition and length definition are related.
Given:
The bases of the solids are bounded by the circle x^2 + y^2 = 16.
(a) First to find the volume of square.
a. Volume
v = \(\int\limits^4_-_4\) 4(16 - x2)dx
= 8(16x - x3/3)(0 to4 )
= 8(64 - 64/3)
= 1024/3.
b. Volume
v = \(\int\limits^4_-_4\)√3(16 - x2)dx
= 2√3(16x - x3/3(0 to 4)
= 2√3(64 - 64/3)
V = 256√3/3.
c. Volume
v = \(\int\limits^4_-_4\)π/2(16 - x2)dx
= π(16x - x3/3)(0 to 4)
= 128π/3
d. Volume
v = \(\int\limits^4_-_4\)2(16 - x2)dx
= 4(16x - x3/3)(0 to 4)
V = 512/3
Hence,
(a) Volume of Square is 1024/3.
(b) Volume of equilateral triangle is 256√3/3.
(c) Volume of semicircle is 128π/3.
(d) Volume of isosceles right triangle is 512/3.
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The probability that it will rain tomorrow is 0.1
Properties of Definite Integrals A definite integral is a function that assigns a value to the area under a curve on a given interval.
Properties of Definite Integrals A definite integral is a function that assigns a value to the area under a curve on a given interval are additive , linearity , continuity , monotonicity and upper and lowersums.
1. Additivity: The definite integral of a sum is equal to the sum of the definite integrals.
2. Linearity: The definite integral of a linear function is equal to the product of the function's slope and the length of the interval.
3. Continuity: The definite integral of a continuous function is equal to the area under the curve between two points.
4. Monotonicity: If a function is increasing or decreasing on a given interval, then the definite integral of the function is also increasing or decreasing.
5. Upper and Lower Sums: The upper and lower sums of a function are the sums of the areas of rectangles constructed under or over the curve between two points. The definite integral of the function is equal to the difference between the upper and lower sums.
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2.5 divided by 0.5 what would that be
Answer:
1.25
Step-by-step explanation:
1/2 of 2.5 is 1.25
Think of it as the following
250 divided by 2 is 125 because 125+125=250
Answer:
5
Step-by-step explanation:
2.5 divided by 0.5 would = 5
10x+4y=20 Help me solve step by step and rewrite the equation
Answer:
y = -2.5x + 5
Step-by-step explanation:
10x + 4y = 20
Subtract 10x from both sides.
4y = -10x + 20
Divide both sides by 4.
y = -2.5x + 5
please help me answer this question thank you
Answer:
A
Step-by-step explanation:
What are the coordinates of the endpoints of the midsegment for A RST that is parallel TS? Enter your answer by filling in the boxes. (_ , _) and (_ , _)
Answer:
2,4 3,5
Step-by-step explanation:
Small cubes of side 1 cm are stuck together to form a large cube
of side 4cm. Opposite faces of the large cube are painted the
same colour, but adjacent faces are different colours. The three
colours used are red, black and green.
(a) How many small cubes have just one red and one green
face?
(b) How many small cubes are painted on one face only?
(c) How many small cubes have one red, one green and one
black face?
(d) How many small cubes have no faces painted?
hola buenas noches como estan
Which pairs of numbers, whose sum is 35, have the largest product?
What is 3 3/4 ft to yards as a mixed number?
The value of 3¾ft in yards would be = 1 6/25 yard
What is a mixed number?A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.
To convert to yards;
1 ft = 0.33 yard
3¾ = X yards
make x yards the subject of formula;
X yards = 3¾ × 0.33
X yards = 3.75×0.33
X yards = 1.24 yards
X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.
Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25
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Given the following table of values for the function f(x), determine f^-1(4)
Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3
What is the inverse of a function?The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.
In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;
Taking two points from the table;
m = y₂ - y₁ / x₂ - x₁
m = 0 - (-3) / -9 - (-11)
m = 3 / 20
Using the slope and one point on the table;
y = mx + x
-3 = 3/20(-11) + c
-3 = -1.65 + c
c = -3 + 1.65
c = -1.35
Putting the slope and y - intercept together;
y = 3/20x - 1.35
y = 3/20x - 27/20
f(x) = 3/20x - 27/20
Taking the inverse of the function;
f⁻¹(x) = (20x + 27)/3
To find the value of f⁻¹(4), we just need to substituting the value of x in the function;
f⁻¹(4) = (20(4) + 27)/3
f⁻¹(4) = 107/3
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If you have a quadratic equation in standard form and it has values of a=25, b = -36 and c = 0, what would the equation look like if you factored it out completely ?
The quadratic equation in standard form is:
ax^2 + bx + c = 25x^2 - 36x + 0
To factor this quadratic equation, we can first factor out the common factor of x:
25x^2 - 36x + 0 = x(25x - 36)
Now we can see that we have a quadratic expression inside the parentheses that can be factored further. To do so, we need to find two numbers whose product is 25 * (-36) = -900 and whose sum is -36. These numbers are -40 and 4:
25x^2 - 36x + 0 = x(25x - 36) = x(5x - 4)(5x - 32)
Therefore, the factored form of the quadratic equation is:
25x^2 - 36x + 0 = x(5x - 4)(5x - 32)
Find g(x), where g(x) is the translation 2 units left and 4 units down of f(x)=x^2.
Write your answer in the form a(x–h)^2+k, where a, h, and k are integers.
g(x) =
The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)
Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:
g(x) = f(x + 2) - 4
Substituting\(f(x) = x^2:\)
\(g(x) = (x + 2)^2 - 4\)
Expanding the square:
\(g(x) = x^2 + 4x + 4 - 4\)
Simplifying:
\(g(x) = x^2 + 4x\)
Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:
\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)
Therefore, the function g(x) in the form a(x-h)^2 + k is:
\(g(x) = (x + 2)^2 - 4\)
Where a = 1, h = -2, and k = -4.
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Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
You must choose a new 4-digit ATM pin number from the numbers 5, 0, 3, and 8. The pin cannot start with 0. How many 4-digit pin numbers are there?
Since the first digit cannot be cero, we have:
3 possibilities for the first digit
4 for the second, third and fourth
The total number of combinations is:
\(3\times4\times4\times4=192\)What two numbers multiply to -35 and add to get -18
he two numbers that multiply to -35 and add to get -18 are -5 and 3.
To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.
Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:
-5 + 3 = -2
So, -5 and 3 are the two numbers that multiply to -35 and add to -18.
which graph represents the solutions to this system of inequalities? x=5y≤10
The graph that represents the inequality 5y≤10 is plotted below.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The given inequality is 5y≤10.
In a graph of an inequality, the symbols (<,>) are represented using a dotted line and the symbols (≤,≥) are represented using a straight line.
So, the graph of inequality 5y≤10 will have a straight line.
Now, writing the inequality 5y≤10 in slope-intercept form y = mx + b -
5y = 10
5y = 0x + 10
Substituting the values of x and y with origin (0,0) -
5(0) = 0(0) + 10
0 = 10
Putting the inequality symbol back -
0 ≤ 10
Since, 0 ≤ 10 is true hence the shaded region of graph will cover the origin.
On solving 5y = 10 -
y = 2
Hence the points of the inequality will be (0,2).
Therefore, the graph for the inequality 5y≤10 is plotted.
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Which of the following best describes how the y-values are increasing from one interval to thenext?Input-output table for the function y = 3xxyby adding 3--21/9O by multiplying by 911/3O by multiplying by 301DONE133What does 3 represent in this exponentialequation?N9the intersection with the x-axis327the base481the value of each exponent
Given data:
\(y=3^x\)1) For the value , x = -2 then y = 1/9
x = -1 then y = 1/3
\(\begin{gathered} \frac{x(-1)}{x(-2)}=\frac{\frac{1}{3}}{\frac{1}{9}} \\ \text{ = 9}\times\frac{1}{3} \\ \text{ = 3} \end{gathered}\)Thus, the y values are increasing from one interval to another when by multiplying by 3.
Thus, the correct option is (c)
2) 3 represents in the exponential equation as ' the base '
Thus, correct option is (b)
Which equation represents a line that passes through (5,1) and has a slope of 1/2
Answer:
Step-by-step explanation:
Since you did not post answer choices, there's not too much I can tell you. One thing for sure is that the equation must have 1/2x. This represents the slope at which the equation is increasing. To find which equation passes through (5,1), all you have to do is plug in 5 into the x in your equation. After you solve, if the y you get is equal to the y value of 1, you know that is the line that alsses through (5,1). I hope this helps.
Answer b
Step-by-step explanation:
It’s fast