14 ÷ (2 + 5) what the answer to this?

Answer: 8 sqrt 2

Step-by-step explanation:

An isosceles right triangle is also known as a 45-45-90 triangle. In a 45-45-90 triangle, both the legs are equal, and the hypotenuse is the leg of the triangle multiplied by the square root of 2.

Another way to solve this is to us the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, a^2 + b^2 = c^2, with c being the hypotenuse. Since a and b are both equal to 8, 8^2 + 8^2 = c^2. This simplifies to 128 = c^2. By taking the square root of both sides, you get sqrt 128 = c. This simplifies to c = 8 sqrt 2

Can you post the image, it's not possible to find what transformation she does without the graph

Answer:

A (3,1) B (1,4) C (4,3)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

8:6 then divide both by 2

The solution tothe logarithmic function log₃([3x+2] = log₃(4x - 6) is 8

Given the logarithm expression

log(3)[[3x+2] = log(3)[4x - 6]

The logarithm on both sides of the equation will cancel out to have:

3x + 2 = 4x - 6

Collect the like terms

3x - 4x = -6 - 2

-x = -8

x =8

Hence the solution tothe logarithmic function log₃([3x+2] = log₃(4x - 6) is 8

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Answer:

8

Step-by-step explanation:

Answer:

\(\dfrac{7+x}{(1+x)(1+x^2)}\equiv \dfrac{3}{1+x}-\dfrac{3x-4}{1+x^2}\)

Step-by-step explanation:

As the denominator has a linear factor and irreducible quadratic factor, the partial fraction form is:

\(\boxed{\dfrac{N(x)}{(ax+b)(x^2+bx+c)} \equiv \dfrac{A}{ax+b}+\dfrac{Bx+C}{x^2+bx+c}}\)

Therefore, the given algebraic fraction can be written as partial fractions of the form:

\(\dfrac{7+x}{(1+x)(1+x^2)}\equiv \dfrac{A}{1+x}+\dfrac{Bx+C}{1+x^2}\)

Add the partial fractions:

\(\dfrac{7+x}{(1+x)(1+x^2)}\equiv \dfrac{A(1+x^2)+(Bx+C)(1+x)}{(1+x)(1+x^2)}\)

Cancel the denominators from both sides of the original identity, so the numerators are equal:

\(7+x \equiv A(1+x^2)+(Bx+C)(1+x)\)

Substitute a value of x which make one of the expressions in the brackets equal zero to get rid of all but one of A, B and C.

\(\begin{aligned}x=-1 \implies 7+(-1) &=A(1+(-1)^2)+(Bx+C)(1+(-1))\\7-1&=A(1+1)+(Bx+C)(0)\\6 & =2A\\3&=A\end{aligned}\)

Substitute the found value of A:

\(7+x \equiv 3(1+x^2)+(Bx+C)(1+x)\)

Substitute x = 0 and solve for C:

\(\begin{aligned} x=0 \implies 7+0 &=3(1+(0)^2)+(B(0)+C)(1+0)\\ 7&=3(1)+C(1)\\7&= 3+C\\4&=C\end{aligned}\)

Substitute the found values of A and C:

\(7+x \equiv 3(1+x^2)+(Bx+4)(1+x)\)

Expand the right side:

\(\begin{aligned}7+x &\equiv 3(1+x^2)+(Bx+4)(1+x)\\7+x &\equiv 3+3x^2+Bx+Bx^2+4+4x\\7+x&\equiv(3+B)x^2+(4+B)x+7\end{aligned}\)

Compare the coefficients of the terms in x to solve for B:

\(\begin{aligned} 1&=4+B\\-3&=B\end{aligned}\)

Therefore:

Finally, replace A, B and C in the original identity:

\(\dfrac{7+x}{(1+x)(1+x^2)}\equiv \dfrac{3}{1+x}+\dfrac{-3x+4}{1+x^2}\)

\(\dfrac{7+x}{(1+x)(1+x^2)}\equiv \dfrac{3}{1+x}-\dfrac{3x-4}{1+x^2}\)

Answer:

dimension=2a×2a

area=4a^2

Step-by-step explanation:

since the radius of the circle is a

Then l= 2a

area of a square =l^2

area=2a×2a

The answer is 4/8 or 1/2 or 0.5 or 50%

Step-by-step explanation:

A nickel has two faces, heads and tails
Equation of probability = Number of chances/Total Numbers of chances

So, 4 chances of heads / 8 chances of heads or tails, thus, there is a chance of 50% if Harry tosses the coin 4 times to get a head

By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

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Answer:

60

Step-by-step explanation:

Answer:

I am not entirely sure but I think it is 1.

Step-by-step explanation:

Don't quote me on this though. Please tell me if I am wrong.

Answer:

Step-by-step explanation:

BC = 60

CA = 45

AB = sqrt(45^2 + 60^2)

AB = sqrt(2025 + 3600)

AB = sqrt(5625)

AB = 75

The independent variable is A, the number of frozen bags.

The independent variable is the number of bags of frozen vegetables, represented by b. This is because the company can choose to package any number of bags, which will then determine the total number of sliced carrots, represented by c. The number of sliced carrots is not independent because it depends on the number of bags of frozen vegetables being packaged. Therefore, the answer is A, the number of frozen bags.

In statistical analysis, the independent variable is the variable that is being manipulated or changed in an experiment to observe the effect on the dependent variable.

In this case, the number of bags of frozen vegetables is the variable being manipulated, while the total number of sliced carrots is the dependent variable being affected by the number of bags. This understanding of independent and dependent variables is crucial in designing experiments and interpreting results in various fields, including food science, agriculture, and health research.

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The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².

The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.

To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:

Surface Area = 4πr²

Where r is the radius of the sphere.

Plugging in the value of r=10 into the formula, we get:

Surface Area = 4π(10) = 400π

Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,

=> Surface Area = 400 * 3.14 = 1256

Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).

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Each book must have a unique code, then we want to find the total number of combinations of 4 upper cases followed by a number.

We will see that the maximum number of books that the library could assign codes using this system is 4,569,760

To find the total number of combinations, first, we need to find each selection.

Here we have 5 selections:

Now we want to find the number of options for each one of these selections.

Assuming that the letters can be used multiple times, for each one of the letters we have 26 options (from A to Z)

And for the number, we have 10 options (for 0 to 9)

Then we have:

The total number of combinations is just the product between all of these numbers of options, we will get:

C = 26*26*26*26*10 = 4,569,760

So there are 4,569,760 different codes, thus, the maximum number of books that the library could assign codes using this system is 4,569,760

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Answer:

it will be a hurdered

Step-by-step explanation:

Answer: that is 225 tons

Step-by-step explanation:

Yeah that’s what it is.

Answer:

32x

Step-by-step explanation:

Answer:

The range is 8.

Step-by-step explanation:

5-(-3)=8

After the rotation, the point (-7, 3) becomes (7, -3). Therefore, the correct answer is option A: (7, -3).The rotation matrix can be used to rotate any point about the origin by multiplying the point's coordinates by the matrix.

The first row of the matrix gives the new x-coordinate, and the second row gives the new y-coordinate.

To find the image of a point after a rotation of 180 degrees clockwise about the origin, we need to apply the rotation matrix to the coordinates of the point. The rotation matrix for a 180-degree clockwise rotation is:

| cos(θ)  -sin(θ) |

| sin(θ)   cos(θ) |

Since we are rotating 180 degrees, the angle of rotation (θ) is π radians. Therefore, the rotation matrix becomes:

| cos(π)  -sin(π) |

| sin(π)   cos(π) |

Simplifying the values, we have:

| -1   0 |

|  0  -1 |

Now, let's apply this rotation matrix to the coordinates (-7, 3):

|-1  0|   |-7|   |7 |

| 0 -1| x | 3| = |-3|

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Answer:

61 mph consistently

Step-by-step explanation:

4.5/0.5 = 9 = 30 min

274.5/9 = 30.5 = speed in half an hour.

30.5 x 2 = 61 = consistent speed for an hour.

Answer:

85 ° is the answer to the question

Answer:

85 degrees

Step-by-step explanation:

Angles in a triangle add up to 180 in total so to solve it add the two angles you know so 18+77 which is 95 than you subtract it from 180 so 180 - 95 is 85

Answer:

The rate of decrement is given as: r = 4%. From the table, the initial population is. P (0) = 7900. So, the population in t years is. P (t) = P (0) * (1 - r)^t. This gives. P (t) = 7900 * (1 - 4%)^t. Evaluate the difference.

Population after 2 years = P (1 + 4/100)2 = 62500 X (104/100)2

= 62500 × 26/25 X 26/25 = 100 × 26 ×26 = 67600.

Hence, the population after two years will be 67,600.

In the standard curve for nitrophenol generated for use in this experiment, the nitrophenol concentration is reported on the x - axis.

What is standard curve?

A calibration curve, sometimes referred to as a standard curve, is a common technique used in analytical chemistry to compare an unknown sample to a group of standard samples with known chemical concentrations.

In order to calculate the nitrophenol concentration in mole/ml based on absorbance readings, the standard curve is drawn.

Based on the optical density, or OD410, or absorbance at 410 nm, this standard curve of absorbance is used to calculate the quantity of nitrophenol.

Therefore, the nitrophenol concentration is displayed on the x axis of the standard curve.

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Answer:

(2,7), (6,-2),

Step-by-step explanation:

After finding the points you plug them in to the distance formula:

d=√((x2-x1)²+(y2-y1)²)

d=√[(6-2)²+(-2-7)²]

Answer:4200

Step-by-step explanation:

The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.

To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.

For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.

Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.

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Answer:

In order for line AE to equal line BF, m/DFB and m/CEA must both be 90°. When this occurs, line AB does not intersect line EF: the two lines are parallel. line AE and line BF represent the perpendicular distances between line AB and line CD. When the two lines are parallel, the perpendicular distance between them is the same throughout their length.

Step-by-step explanation:

Plato Sample Question

When the two lines are parallel, then the perpendicular distance between them is the same throughout their length.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

In order for line AE to equal line BF, Angle DFB and Angle CEA must both be 90°.

When this occurs, line AB does not intersect line EF then the two lines are parallel.

Thus the line AE and line BF represent the perpendicular distances between line AB and line CD.

When the two lines are parallel, then the perpendicular distance between them is the same throughout their length.

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