Answer:
I hope this helps
Step-by-step explanation:
Simplifying
3x + -1x + -5 = 2(x + 2) + -9
Reorder the terms:
-5 + 3x + -1x = 2(x + 2) + -9
Combine like terms: 3x + -1x = 2x
-5 + 2x = 2(x + 2) + -9
Reorder the terms:
-5 + 2x = 2(2 + x) + -9
-5 + 2x = (2 * 2 + x * 2) + -9
-5 + 2x = (4 + 2x) + -9
Reorder the terms:
-5 + 2x = 4 + -9 + 2x
Combine like terms: 4 + -9 = -5
-5 + 2x = -5 + 2x
Add '5' to each side of the equation.
-5 + 5 + 2x = -5 + 5 + 2x
Combine like terms: -5 + 5 = 0
0 + 2x = -5 + 5 + 2x
2x = -5 + 5 + 2x
Combine like terms: -5 + 5 = 0
2x = 0 + 2x
2x = 2x
Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Which expression is the best estimate of the product of startfraction 7 over 8 endfraction and 8 and startfraction 1 over 10 endfraction?.
The best estimate of the product is b) 1 times 10.
The expression (7/8)8(1/10) can be simplified by canceling out the factor of 8 in the numerator and denominator. This yields the expression 7/10. Therefore, the best estimate of this expression would be 1 times 10, since 7/10 is closest to 1 when rounded to the nearest whole number, and 10 is the closest whole number to the denominator of 7/10.
Thus, the answer is option b, 1 times 10. It is important to note that when estimating products or other mathematical expressions, it is important to consider the context and choose an estimate that is reasonable and makes sense in the given situation.
Correct Question :
Which expression is the best estimate of the product of (7/8)8(1/10)?
a) 0 times 8
b) 1 times 10
c) 7 times 8
d) 1 times 8
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g(n)=n² +4n
h(n)=-3n-3
Find (g+h)(n-4)
The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
g(n) = n² + 4n
h(n) = - 3n - 3
The function (g+h)(n) is calculated as,
(g+h)(n) = g(n) + h(n)
(g+h)(n) = n² + 4n - 3n - 3
(g+h)(n) = n² + n - 3
Put n = n - 4, then we have
(g+h)(n-4) = (n - 4)² + (n - 4) - 3
(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3
(g+h)(n-4) = n² - 7n + 9
The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.
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Determine if the expression 3c^5+7c^-1-c is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer: It's not a polynomial
It's not a polynomial because the exponent of -1 in the second term. The exponents for any polynomial must be nonnegative whole numbers {0,1,2,3,...}
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is feet.
Complete question :
Zen is participating in an all-day hike to the Grandfather Mountain Summit on the Blue Ridge Parkway.
Starting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of _____ feet.
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is ______ feet.
Answer:
6,464 Feets; 4,061.5 Feets
Step-by-step explanation:
Given the following:
Starting elevation = 0
Elevation of the Cragway Trail = 4,646.4 feets
Elevation of Cragway Trail to Calloway peak summit = 1,817.6
From Calloway peak summit, Zen descends to an elevation of 2,402.5 Feets (flat Rock junction)
The Calloway Peak Summit is at a height of _____ feet.
Height of Calloway Peak Summit:
(Starting elevation to Cragway trail) + (Cragway trail elevation to Calloway peak Summit)
4,646.4 Feets + 1,817.6 Feets = 6,464 Feets
B) Elevation at Flat Rock Junction:
Height of Calloway peak summit - 2,402.5
(6464 - 2402.5) Feets = 4,061.5 Feets
PLS HELPPPP
will mark brainliest:))
In a proportional relationship, y=2 when x=8. Which of the following equations would
describe this relationship?
Answer:
2. (1) \(30\)
3. (1) \(y=\frac{1}{4}x\)
4. a) \(y=x+6\) b) \(42\)
Step-by-step explanation:
In a proportional relationship, y=2 when x=8, the following lines will show this relationship,
1. y = 1/4x
2. y = x - 6
4. y = 1/2x - 2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
The point,
x = 8 and y = 2
We have to check all the given options,
1. y = 1/4x
y = 1/4 × 8
y = 2
2. y = x - 6
= 8 - 6
y = 2
3. y = 4x
= 4 × 8
y = 32
4. y = 1/2x - 2
= 1/2 × 8 - 2
= 2
Hence, Option 1, 2, & 4 satisfies the given condition
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Which of the following expressions is equivalent to 2y (3y^2 + 4y^4)
The expression that is equivalent to the given expression is 6y³ + 8y⁵
Evaluating an expression and determining an equivalent expressionFrom the question, we are to determine the expression that is equivalent to the given expression
The given expression is
2y (3y^2 + 4y^4)
This can be properly written as
2y (3y² + 4y⁴)
Now, to determine the expression that is equivalent to this expression, we will expand the expression by applying the distributive property.
2y(3y² + 4y⁴)
2y(3y²) + 2y(4y⁴)
Multiplying
6y³ + 8y⁵
Hence,
The expression is 6y³ + 8y⁵
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Reflecting.
Easy gcse maths
Help
Step-by-step explanation:
Reflect it across the line of the X-axis, this should be right.
Radius ob measures x units. which expression represents the circumference of the smaller circle with radius oa? (startfraction pi over 3 endfraction)x units (startfraction 2 pi over 3 endfraction)x units 2πx units 6πx units
The circumference of the smaller circle is C = 2*pi*x/3.
We have given that radius ob measures x units
What is the formula for the circumference of the circle ?circumference of the circle is given by,
\(C = 2\times \pi \times R\)
where pi = 3.14
R= radius
we have two circles, A and B, where B is the larger circle and A is the smaller circle.
We know that,The circumference of B is 3 times the circumference of A.
The radius of circle B is OB = x
The radius of circle A is OA
We want to find an expression of OA.
The circumference of circle B is given by
\(C(B) = 2\times \piOB = 2\times pi\times x\)
The circumference of circle A is given by
\(C(A) = 2\times\pi\times OA\)
we know that the circumference of circle B is 3 times the circumference of circle A,
\(C(B) = 3\times C(A)\)
replacing the equations for the circumferences
\(2\times\pi\times x = 3\times (2\times pi\times OA)\)
We have divide both sides by \(2\pi\)we get:
\(x = 3\times OA\)
Now we want to solve this for OA, then we need to isolate it,
\(x/3 = OA\)
We can conclude that the radius of the smaller circle is equal to x/3.
Then the circumference of circle A is
\(C(A) = 2\times pi\times x/3\)
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Answer:
c
Step-by-step explanation:
What type of triangle is shown in the image?
a triangle with two angles that are thirty degrees, and one angle that is one hundred twenty degrees
Group of answer choices
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
the answer is an obtuse triangle
The triangle in the image is an obtuse triangle.
In any triangle, the sum of the three angles is always 180 degrees.
Here, the sum of the two angles is 30 + 30 = 60 degrees.
Now, Adding the 120 degrees angle
= 60 + 120
= 180 degrees, which is consistent with the sum of angles in a triangle.
Now, let's consider the types of triangles:
1. Acute triangle: All three angles in an acute triangle are less than 90 degrees.
2. Right triangle: A right triangle has one angle that measures exactly 90 degrees.
3. Equilateral triangle: An equilateral triangle has all three angles equal to 60 degrees.
4. Obtuse triangle: An obtuse triangle has one angle that is greater than 90 degrees.
Thus, the triangle in the image is an obtuse triangle.
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A fruit seller bought oranges at rs 48 per dozen. At what price should he sell 30 oranges so as make 10%profit
Answer:
132 rs
Step-by-step explanation:
Cost of one orange = 48 : 12 = 4 rs
cost of 30 orange = 4 * 30 = 120 rs
10 : 100 = x : 120
x = (120 * 10)/100
x = 12 rs
final price = 120 + 12 = 132 rs
Find the measures of all of the missing angles. FAST!!!
Answer:
angle BCD=58 degree
angle ACD=32 degree
angle DAC=58 degree
angle CDB=90 degree
Step-by-step explanation:
Hope it helps you!!
Sam bought 8 new trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did sam start with?
Answer:
(8 + A) = 80 / 2 =40
A=72
Step-by-step explanation: Simple if sam bought 8 trading cards he obviously had some to start with and if half of that was 40 then the complete set was 80 and 80 - 8 is 72.
Find the value of x. x+35 4x
what’s the square root of 10?
Answer:
3.16227766017
Step-by-step explanation:
A square root is a number let's say 25 and if you find two numbers that are the same and multiply themselves to each other and get 25 it is a square root. In this case 3.16227766017 * 3.16227766017 = 10 so that is our answer.
Answer:
3.16
I hope this helps!
Help!!!!!!!!!!!!!!!!
Answer: Exponential, and increases by 343 percent.
Step-by-step explanation: Always depends on the number being raised, let's call it B. If B is between 0 and 1, it's a decay, but if B is greater than 1, it is exponential. In this case, B is 7, therefore it's exponential.
Isabella is conducting an experiment with a 12 sided dice. The sample space is 1 through 12. What is the percent probability that Isabella will roll a 14?
Responses
20
20
0
0
10
10
15
The percent probability that Isabella will roll a 14 is 0%, since the dice she is using has a sample space of 1 through 12 and there is no 14 on the dice. Therefore, the probability of her rolling a 14 is 0%.
The probability of Isabella rolling a 14 with a 12-sided dice is 0%. This is because the sample space of the dice is 1 through 12, and there is no 14 on the dice. In order to calculate the probability, you would need to take the number of possible outcomes (the sample space) and divide it by the number of outcomes you are looking for. In this case, the sample space is 12 and the outcome being searched for is 1, giving you 12 divided by 1 which is 0. This means that the probability of Isabella rolling a 14 is 0%. This is because the sample space does not contain a 14, thus making it impossible for Isabella to roll a 14.
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Write 775.5 in scientific notation.
Answer: 7.755 × 10²
Step-by-step explanation:
To write in scientific notation we write the number as being between 1 and 10 which is then multiplied by a power of 10 so it is still equivalent.
775.5 / 100 = 7.755
[✓] 1 < 7.755 < 10
Checking our work.
[✓] 7.755 × 10² = 775.5
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Consider the cylinder, given in the figure {r=1.5, h=3}. The potential V within the cylinder is given in cylindrical coordinates as: V = 5r + 4 cos Ø Calculate the total charge within the cylinder.
To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.
The total charge can be obtained by integrating the charge density over the volume of the cylinder.
The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.
The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:
∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²
Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:
∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز
Applying this operator to the potential function V, we find:
∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز
To find the charge density, we substitute this expression into ρ = -∇²V:
ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز
To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:
Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV
The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.
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Use area model to solve shereen arranges 229 books into 7 even piles .How many books did shereen put in each pile ?
Step-by-step explanation:
3 2
7 ⟌229
- 21
1 9
- 1 4
5
33 piles of books
I hope this helps!!!
Can someone please help I’m stuck on this one
Answer:
the second one
Step-by-step explanation:
if the two given angles are the same, that means there is the same distance between their lines.
cbd is one angle, being shared by both of the points in the answer, does this make sense?
If you are testing the null hypothesis with an alpha value of 0. 05, will the critical value be smaller or larger than if you were testing the alpha value of 0. 01? why?.
When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing the alpha value of 0.01. This is because the alpha value represents the level of significance at which we reject the null hypothesis. A smaller alpha value means we are requiring stronger evidence to reject the null hypothesis, and therefore, the critical value will be higher.
Conversely, a larger alpha value means we are more likely to reject the null hypothesis, and therefore, the critical value will be lower.
When testing a null hypothesis with an alpha value of 0.05, the critical value will be larger compared to testing with an alpha value of 0.01. The reason for this is that the alpha value represents the level of significance or the probability of rejecting the null hypothesis when it is actually true.
A smaller alpha value (e.g., 0.01) indicates a more stringent test, requiring stronger evidence to reject the null hypothesis. As a result, the critical value for a 0.01 alpha level will be smaller, making it more difficult to reject the null hypothesis. Conversely, a larger alpha value (e.g., 0.05) indicates a less stringent test, requiring less evidence to reject the null hypothesis, and the critical value will be larger, making it easier to reject the null hypothesis.
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what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
i need help with this question
Answer:
no haha
Step-by-step explanation:
if we randomly choose names from the phone book, call them, and determine whether they are registered voters, does this process result in a random sample of voters?
The process of sampling is used is called the cluster sampling.
According to the statement
We have to find that the process of the sampling.
So, For this purpose, we know that the
Cluster sampling is a probability sampling technique where researchers divide the population into multiple groups (clusters) for research.
From the given information:
The things on which we do the survey :
if we randomly choose names from the phone book, call them, and determine whether they are registered voters.
Then
This sampling technique is used when our population is naturally divided into groups (which we call clusters).
due to this reason this sampling is called a cluster sampling.
So, The process of sampling is used is called the cluster sampling.
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Which statement best describes the relationship between changes in air pressure and wind speeds? Responses
When a high- and a low-pressure air mass are far apart, air moves quickly from high to low pressure.
When a high- and a low-pressure air mass are far apart, air moves quickly from low to high pressure.
When a high- and a low-pressure air mass are far apart, air moves quickly from low to high pressure.
When a high- and a low-pressure air mass are close together, air moves slowly from high to low pressure.
The statement that best describes the changes in air pressure and wind speed is C. When a high- and a low-pressure air mass are far apart, air moves slowly from high to low pressure.
What is the relationship between pressure and wind?The weight of air molecules pressing down on the Earth is referred to as air pressure. As you ascend from sea level into the atmosphere, the pressure of the air molecules changes. The greatest pressure exists at sea level, where the density of air molecules is greatest.
Atmospheric pressure, also known as barometric pressure, is the pressure that exists within Earth's atmosphere. The region with low pressure will always get winds from the high pressure. This means that the region of low will attract winds from the high pressure and vice versa.
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f(x)=\left\{\begin{array}{ll}x+4&\quad-4\le x < 3\\2x-1&\quad3\le x < 6\end{array}\right.
This is a piecewise defined function. For input values of x between -4 and 3 (exclusive), the function is defined as f(x) = x + 4. For input values of x between 3 and 6 (exclusive), the function is defined as f(x) = 2x - 1.
1. A school orders 120 calculators.
The school receives a shipment containing 80%
of the order,
and 1 out of every 3 of these calculators is black.
How many black calculators has the school received
in this shipment?
a.32
b.40
c.50
d.96
Answer:
A. 32
Step-by-step explanation:
80% of 120 is 96
So 96 divided by 3 is 32, so 32 x 3 = 96
Which means 32/96 also equals 1/3
select the correct answer. a rubber gasket has a circumference of 3.2 cm. when placed in service, it expands by a scale factor of 2. what is the circumference of the gasket when in service?
The circumference of the gasket when in service is 6.4 cm, which is twice the original circumference of 3.2 cm, consistent with the scale factor of 2.
When we say that the rubber gasket expands by a scale factor of 2, we mean that all of its linear dimensions, such as its length, width, and circumference, double in size.
Let's focus on the circumference, which is the distance around the outside of a circle. The circumference of a circle is calculated using the formula:
Circumference = 2 x π x radius
In this case, we don't know the radius of the gasket, but we do know its circumference, which is given as 3.2 cm. We can rearrange the formula to solve for the radius:
radius = Circumference / (2 x π)
Plugging in the given circumference, we get:
radius = 3.2 cm / (2 x π) ≈ 0.509 cm
Now that we know the radius, we can calculate the circumference of the gasket when in service. Since the scale factor is 2, we know that the new radius will be:
new radius = old radius x scale factor = 0.509 cm x 2 = 1.018 cm
Using the same formula as before, but with the new radius, we get:
Circumference in service = 2 x π x new radius
Circumference in service = 2 x π x 1.018 cm ≈ 6.4 cm
Therefore, the circumference of the gasket when in service is 6.4 cm, which is twice the original circumference of 3.2 cm, consistent with the scale factor of 2.
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carl ordered a refrigerator that weigh 192 pounds
Answer: good for him... how much did he spend on it?