Round 1276 to the nearest ten?

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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The value of y when z is 220 is 5.2. This answer is in simplified form, as 5.2 is already in its simplest fractional form.

If two variables vary inversely, it means that their product is always constant. In this case, we are given that y varies inversely as z, and that y is 26 when z is 44. This means that the product of y and z is 26 * 44 = 1144. We are asked to find the value of y when z is 220. To do this, we can use the fact that the product of y and z is constant. Since the product of y and z when z is 44 is 1144, the product of y and z when z is 220 must also be equal to 1144. Setting up the equation y * 220 = 1144 and solving for y, we find that y = 5.2. This means that the value of y when z is 220 is 5.2.

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Answer:

5.35

Step-by-step explanation:

Hope that helps you

Answer: f(0)=3/2, f(4)=7/2

Answer:

b and e

Step-by-step explanation:

Answer:

it is 7.5

Step-by-step explanation:

Answer:

It is 7.5

Step-by-step explanation:

Answer:

x = 5/18

Step-by-step explanation:

3(5 - 4x) = 2(3x + 5)

15 - 12x = 6x + 10

15 - 10 = 6x + 12x

5 = 18x

x = 5/18

a : 10<x<=20

b: 20<x<=30

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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The difference of two squares is (5x+3y) (5x-3y)

The difference of two squares of variables a and b is represented as:

(a + b)(a - b) = a^2 - b^2

By comparing the list of options, we have:

(5x+3y) (5x-3y)

This means that

a = 5x and b = 3y

Hence, the difference of two squares is (5x+3y) (5x-3y)

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Answer:

1078

Step-by-step explanation:

The product of 22 and 49 is 1078.

Answer:

1078 is the product

Step-by-step explanation:

Answer:

Step-by-step explanation:

In this problem, we have the following linear equations:

y=3x+5

y=ax+b

We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.

1.  What values for a and b make the system inconsistent?

A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:

a=3

for any value of b

2. What values for a and b make the system consistent and dependent?

A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:

a=3 and b=5

Answer:

When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.

Step-by-step explanation:

Answer:

a. 4.35 x 10-⁴

= 0.000435

b. 4.16 x 10¹

= 41.6

c. 9.2 x 10-³

= 0.0092

d. 1.1 x 10-⁵

= 0.000011

e. 6.5 x 10⁵

= 650000

Step-by-step explanation:

Very simple and quick

Answer:

Make 1/8 a reciprocal which would be 8/1 so 3/4 x 8/1 is 24/4 = 6

The 19th term of a geometric sequence is 1048576.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

a = 4 and r = 2

The nth term of a geometric sequence.

= a\(r^{n-1}\)

Now,

The 19th term of a geometric sequence.

= a\(r^{n-1}\)

Substituting a and r values.

= 4 x \(2^{19 - 1}\)

= 4  x \(2^{18}\)

= 4 x 262144

= 1048576

Thus,

The 19th term of a geometric sequence is 1048576.

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The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Correct graph: C

Given: A line goes through points (0,2) and (1,1). Equation of the line formed between these two points will be:

Thus, the eqaution of the line formed through points (0,2) and (1,1) is 2x+y=2.

Now solve equations 2x+y=2 and y=3x+3 to find the x coordinate of the intersection of this line.

Substitute equation (1) in equation (2).

Thus, the x coordinate of the intersection of this line is x=-1/5.

Answer:

it's the 'D' ..............,..

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

false

Step-by-step explanation:

x+2<-9

x<-9-2

x<-12

Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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The Pythagorean theorem states:

where a and b are the legs and c is the hypotenuse of a right triangle.

Substituting with a = 25, and b = 32, and solving for c:

Answer:

x= 5,77 *∛ K₂ / ( K₁ + K₅ ) the side f the square bottom-top

h = 2,88/ [∛ K₂ / ( K₁ + K₅ ) ]² heigh of the box

Step-by-step explanation:

Data from problem statement only gives one relation between dimensions of the box, we need two, in order to express surface area as a function of just one variable. In such a case we must assume the box is of square bottom and top.

Then

Area of the bottom                      A(b) = x²          ⇒  C(b) = K₁*x²

Area of the top                              A(t)  = x²         ⇒  C(t)  = K₅*x²

Total lateral area ( 4 sides)          A(l)  = 4*x*h   ⇒   C(l)  = 4*K₂*x*h

V(bx) = 96 in³

V(bx) = x²*h = 96

h = 96/x²

Then total cost as a function of x

C(x) =  K₁*x² +  K₅*x² + 4*K₂*(96)/x

Taking derivatives on both sides of the equation

C´(x) = 2*K₁*x + 2*K₅*x - 384*K₂/x²

C´(x) = 0         ⇒     2*K₁*x + 2*K₅*x - 384*K₂/x² = 0

2*K₁*x³ + 2*K₅*x³ = 384*K₂       or      K₁*x³ + k₅*x³ =  192*K₂

x³ ( K₁ + K₅ ) = 192*K₂

x  = ∛192*K₂ / ( K₁ + K₅ )

x= 5,77 *∛ K₂ / ( K₁ + K₅ )

If we obtain the second derivative

C´´(x)  = 2*K₁ + 2*K₅ - (-2*x)*384*K₂/x⁴

C´´(x)  = 2*K₁ + 2*K₅ + 768*K₂/x³

As x can not be negative  the expression C´´ wil be  C´´> 0

then we have a minimum for the function for x = 5,77 *∛ K₂ / ( K₁ + K₅ )

and  h = 96 / [ 5,77 *∛ K₂ / ( K₁ + K₅ )]²

h = 2,88/ [∛ K₂ / ( K₁ + K₅ ) ]²

Answer:

4 because 6th floor has no office

Answer:

5 floors

Step-by-step explanation:

Fewer than 80 makes it 0-79

So,

0-79 => 5 floors