Solve using elimination.
-6x + 2y = 14
x + 4y = -11

Answer:

x=3.5,y=4.5

lets check if our answer is correct

let's use equation 1

5x+3y=31

5(3.5)+3(4.5)=31

17.5+13.5=31

31=31

Step-by-step explanation:

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A number is written in scientific notation when the first factor is greater than or equal to 1 and less than 10.

In Mathematics, scientific notation is sometimes referred to as scientific form or standard index form and it can be defined as a technique which is typically used for expressing numbers that are either too small or too large to be written conveniently in decimal form.

Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.

As a general rule, you can only write a number in scientific notation when the first factor is written with one number before the decimal point i.e it is greater than or equal to (≥) 1 and less than (<) 10.

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The exact value of the logarithmic expression 12 · ㏒₃ [z⁷ / (y⁵ · t²)] is equivalent by logarithm properties to -711 / 5.

In this question we must determine the exact value of a logarithmic expression by means of logarithm properties, which are described below:

Logarithm of a product

㏒ (a · b) = ㏒ a + ㏒ b

Logarithm of a division

㏒ (a / b) = ㏒ a - ㏒ b

Logarithm of a power

㏒ aⁿ = n · ㏒ a

Now we proceed to determine the exact value of the expression:

12 · ㏒₃ [z⁷ / (y⁵ · t²)]

12 · [㏒₃ z⁷ - ㏒₃ (y⁵ · t²)]

12 · (㏒₃ z⁷ - ㏒₃ y⁵ - ㏒₃ t²)

12 · (7 · ㏒₃ z - 5 · ㏒₃ y - 2 · ㏒₃ t)

12 · (7 · 7.74 - 5 · 11.03 - 2 · 5.44)

-711 / 5

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Answer:

5:9

Step-by-step explanation:

the circumference is d*pi

so you must find the diameter of both circles

31/pi = 9.86760647

which is about 10

57/pi = 18.1436635

which is about 18

10:18 is your ratio

but you can simplify this down to

5:9

Answer:

a)

b)

Explanation:

a) Let b represent the number of striped bass one is allowed to catch.

Since we're only allowed to catch at most 3 striped basses, that is, the number of striped basses can be less than or equal to 3 but not more, we can go ahead and write the inequality as seen below;

See below the graph of the above inequality on a number line;

b) Let l represent the length of each striped bass

Since each striped bass must not be less than 18 inches long, that is, each striped bass can

be more than or equal to 18 inches in length but not less, we can go ahead and write the inequality as seen below;

Graphing on a number line, we'll have;

Answer:

x = 4

Step-by-step explanation:

Use elimination method.

-----------------

3x + 5y = 10

-(1x + 5y) = -1(2)

-1x -5y = -2

------Simiplify------

2x = 8

x = 4

The expression for the volume of water contained in the rectangular swimming pool with a uniform depth of 6 feet is l * w * 6.

The expression for the volume of water contained in a rectangular swimming pool can be determined by multiplying the length, width, and depth of the pool. In this case, the water has a uniform depth of 6 feet.

The formula for the volume of a rectangular prism (such as a swimming pool) is:

Volume = Length * Width * Depth

Given that the length of the pool is l feet, the width is w feet, and the depth is 6 feet, the expression for the volume of water in the pool can be written as:

Volume = l * w * 6

The expression for the volume of water contained in a rectangular swimming pool of length l feet and width w feet, assuming the water has a uniform depth of 6 feet is Volume = l x w x 6 cubic feet.

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Answer:

Yes

Step-by-step explanation:

6 + 10 would equal 16

You're right, have a great day!

Answer:

yes, it is 10

Step-by-step explanation:

Subtract 16 and 6 and you get 10.

Or Subtract 6 and 6 and subtract 16 and 6.

It'll still be 10 no matter what.

Step-by-step explanation:

(-1,-1) (0,3)

3- -1 / 0 - -1 = 4/1 = 4

slope is 4

Answer:

27 min i think

Step-by-step explanation:

Answer: 9:35

Step-by-step explanation:

i think that's the right answer

Answer:

1-15

Step-by-step explanation:

You should at least teach students 1-15 or 1-20

A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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Answer:

Step-by-step explanation:

the equation of said line would be y=2x +3

it would look like this graph

Answer:

250%

Step-by-step explanation:

177.5 / 71 = 2.5

2.5 x 100 = 250%

Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.

The coefficient of determination, r, is the amount of variation in the observed values of the response variable that is explained by the regression line.

About Coefficient of Determination:

When forecasting the result of an event, the coefficient of determination is a statistical measurement that looks at how variations in one variable may be explained by differences in a second variable.

In other words, the coefficient of determination, r, which is more frequently used to refer to the strength of a linear relationship between two variables, is a crucial tool for researchers when undertaking trend analysis.

For illustration, this coefficient of determination might be used to consider the possibility that a woman would give birth to her child on a specific date in the future if she became pregnant on a specific day. This metric's objective in this situation is to determine the relationship between the connected occurrences of conception and birth.

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Answer: 1/9= 5/45 or 2/15= 6/45

Step-by-step explanation:

1/9 *5/5 = 5/45

1*5 =5 (numerator)

9*5=45 (denominator)

-----------------------------------------------------------------------------------

2/15 *3/3 = 6/45

2*3= 6 (numerator)

15*3= 45 (denominator)

ahoj odpoveď je 你好，答案是

Answer:

Step-by-step explanation:

Given the function

Substitute x with a + 1

Answer:

y=4x-3

Step-by-step explanation:

y=mx+b

If x is near but not equal​ to, the value an is that f(a) then the function will not continue.

Limit, a nearness in mathematical notion, is largely used to give values to some functions at locations that were usually not given or defined, in a manner consistent with neighboring values.

In another word, limit is a mathematical concept in which we find out the value of any function at a point by its adjacent very close point.

If a function f(x) is defined near to x = a but not a then there will be no continuity of that function at that point.

To exist a limit at x = a

LHL = RHL

But for continuity

LHL = RHL = f(a)

Hence "If x is near but not equal​ to, the value an is that f(a) then the function will not continue".

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All the statements that must be true are in options \(A, B, D, E\).

Parallel lines are those line which never intersect and maintains a constant distance.

We have,

From the given diagram,

Maple Street and Pine Street run exactly East to West.

And,

Oak Avenue runs exactly North to South.

Now,

From the given diagram,

A. Birch street and Elm street intersect at right angles. - True

B. Maple Street and Pine Street are parallel. - True

D. Pine Street intersect  both Birch street and Elm street.  - True

E. Oak Avenue and Maple Street are perpendicular. - True

Hence we can say that all the statements that must be true are in options \(A, B, D, E\).

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Since the classroom is a square with a side length of 6 units, all sides are equal.

To find the perimeter, we add up the length of all four sides:

Perimeter = 6 + 6 + 6 + 6

Perimeter = 24

Therefore, the perimeter of the classroom is 24 units.

The standard deviation is a measure of how spread out the probability of possible returns is from the mean. In this case, the mean is 32.83%.

The standard deviation of this set of data is 23.17%. This means that the data points in this set are relatively spread out with more variation than some might expect. The high number of 65 and the low number of 5 create a large spread between the highest and lowest value, and thus the higher standard deviation.

Additionally, the proportion of the higher numbers make up a larger proportion of the data when compared to the lower numbers. In conclusion, the standard deviation of this set of data is 23.17%, which indicates a large spread of values and more variation than the mean would suggest.

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Answer:

I don;t know if you need the graph

Step-by-step explanation:

The area bounded by x = 0, y = x - 2, and y = √x is option (b) 7.

To find the area bounded by the curves, we need to determine the points of intersection between them. Setting y = x - 2 and y = √x equal to each other, we can solve for x. By solving the equation x - 2 = √x, we find that x = 4.

The area bounded by the curves can be found by taking the integral of the difference between the upper and lower curves with respect to x, within the limits of x = 0 to x = 4. Evaluating this integral gives us the area, which in this case is 7.

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Answer:

A. 145 degree

Step-by-step explanation:

A triangle has 180 degree

109 + 36 = 145 degree

180 - 145 = 35 degree

35 degrees is the missing angle of the triangle. This angle must add with angle 1 equal to 180 degrees.

180 - 35 = 145 degree

So, the answer is A

Answer:

ANGLE 1 = 145°

Step-by-step explanation:

Angle 1 is right next to the EMPTY interior angle of the triangle and they are on a straight line!

This means, these two angles (angle 1 and the empty angle next to it) are supplementary angles!

Supplementary angles are angles on a straight line and they always add up to 180°

To find it, we need to find the degrees of the empty angle.
To find it, we need to look at the whole triangle.

Remember, all triangles equal 180°

Let's find this empty angle

180° - 109 - 36 = 35°

The empty angle = 35°

BUT WE ARE NOT DONE!

We are looking for angle 1, not the empty angle.

To find angle 1, we must remember that the empty angle (which we found was 35°) and angle 1 make a supplementary angle (which totals up to 180°)

Let's find angle 1, using subtraction.

180° - 35 = 145°

ANGLE 1 = 145°

Answer:

21,704

Step-by-step explanation:

Find the volume of both the top of the silo (hemisphere) and the end bit of the silo (cylinder)

V = \(\frac{2}{3}\) \(\pi\)\(r^{3}\) is the formula for finding the volume of a hemisphere

V = \(\pi\)\(r^{2}\)h is the formula for finding the volume of a cylinder

Let's find the hemisphere first.

We're using 3.14 for pi, so the equation would look like this

V = \(\frac{2}{3}\) x 3.14 x \(12^{3}\)

V = \(\frac{2}{3}\) x 3.14 x 1728

V = 3617.28 \(ft^{3}\)

Now let's find the volume of the cylinder.

V = 3.14 x \(12^{2}\) x 40

V = 3.14 x 144 x 40

V = 18,086.4 \(ft^{3}\)

Last, you add both volumes together.

3617.28 + 18,086.4 = 21,703.68

Round it to make it 21,704.

The total number of cubic feet of grain or volume of the grain that the silo can hold is 28947.41 .

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Given that the top of a silo is a hemisphere

Radius(r) = 12 ft.

Then, the volume of a hemisphere is,

V = 2/3πr³

V = 2/3 x 3.14 x 12³

V = 10851.84 feet³

And, the bottom of the silo is a cylinder with

height (h) = 40ft.

the volume of a cylinder is,

V = πr²h

V = 3.14 x 12² x 40

V = 18095.57

So, the total volume is

V = 10851.84 + 18095.57

V = 28947.41

Then, total volume = total number of cubic feet of grain

Hence, the required answer is, 28947.41 .

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At least 67 senators must vote in favor for a bill to pass with a supermajority.

A supermajority is a voting requirement that surpasses a simple majority and sets a higher threshold for passing certain decisions. In the case of the U.S. Senate, which consists of 100 members, a bill must garner the support of at least twice as many senators voting in favor as those voting against in order to pass with a supermajority. Therefore, to achieve a supermajority, a minimum of 67 senators must vote in favor of the bill.

The purpose of a supermajority requirement is to ensure that significant decisions have substantial support and broad consensus among legislators. By raising the threshold, it becomes more challenging for a small minority to block the passage of a bill, making it more likely that measures with broad support can be enacted into law.

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