How do you write log base 10 in Word?

The y-intercept of the equation 6x + 3y = -12 is -4.

Therefore the answer is -4.

The y-intercept of a linear equation is the point at which the line crosses the y-axis. In other words, it's the point at which x = 0.

To find the y-intercept of the equation 6x + 3y = -12, we can set x = 0 and solve for y.

Substituting x = 0 into the equation:

6(0) + 3y = -12

3y = -12

To find the y-intercept, we divide both sides by 3:

y = -4

So the y-intercept of the equation 6x + 3y = -12 is (0, -4). This means that when x = 0, y = -4 and the graph of this equation will cross the y-axis at the point (0, -4).

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Answer:

The equation is:

[tex]y =12x+5[/tex]

Step-by-step explanation:

Given

[tex](x,y) = (Pizza,Cost)[/tex]

So, we have:

[tex](x_1,y_1) = (4,53)[/tex]

[tex](x_2,y_2) = (5,65)[/tex]

[tex](x_3,y_3) = (6,77)[/tex]

Required

Equation to represent the scenario

First, calculate the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{65 - 53}{5 - 4}[/tex]

[tex]m = \frac{12}{1}[/tex]

[tex]m=12[/tex]

So, the equation is:

[tex]y =m(x - x_1) + y_1[/tex]

This gives:

[tex]y =12(x - 4) + 53[/tex]

[tex]y =12x - 48 + 53[/tex]

[tex]y =12x+5[/tex]

No, 8,15 and 16 is not a Pythagorean triplet.

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.

By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying  a²+b²=c²

One of the simplest Pythagorean triples is the set “3,4,5.”

Now, substitute the values in the above equation:

16²=8²+15²

256=64+225

256[tex]\neq[/tex]289

Therefore, (8,15,16) is not a Pythagorean triplet.

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Answer:

54.54

Step-by-step explanation:

If you take 1200 and divide it by 22, you get this. Hope it helps!

Answer:

-8.52, -8.15, 0.55, 8.25

Step-by-step explanation:

The lowest of negatives goes first, and the highest of positives goes last.

Answer:

from the least to the highest which is:

-8.52

-8.15

0.55

8.25

Answer:

*read explanation for both questions*

Step-by-step explanation:

So the first one asks ”the first number in a pattern is 6, the pattern follows the rule ’multiply by 4’ “

The question has the answer to it, so each number would be multiplied by 4. So we have the first one which is 6, next we multiply 6 x 4 = 24. Then we multiply 24 x 4 = 96. and finally you multiply 96 x 4 = 384.

That’s the pattern fo the first one

The second one asks “The shapes have been sorted into two groups. explain what attribute was used to sort the shapes.”

When we’re looking for attributes, look for what they have in common. For me, I see that Group 1 has the smaller versions of the same shapes in Group 2. So that could be the attribute the question is asking for.

The area of quadrilateral BEFD is 15.32units²

Let the area of  ∆ABC be A

Let the area of ∆AFE be X

Let the area of ∆AFC be Y

Let the area of ∆DFC be Z

Using Ladder theorem:

1/A + 1/Y = 1/(X+Y) + 1/(Y+Z)

Since X = 4, Y = 9 and Z = 7, we have:

1/A + 1/9 = 1/(4+9) + 1/(9+7)

1/A + 1/9 = 1/13 + 1/16

1/A = 1/13 + 1/16 - 1/9

1/A = 53/1872

A = 1872/53

A = 35.32

area of  ∆ABC = area of ∆AFE + area of ∆AFC + area of ∆DFC + area of quadrilateral BEFD

35.32 = 4 + 9 + 7  + area of quadrilateral BEFD

35.32 = 20 + area of quadrilateral BEFD

area of quadrilateral BEFD = 35.32 - 20

area of quadrilateral BEFD = 15.32unit²

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Answer: For all three functions, the direction of fastest increase at the point (1, 1, 1) is the direction of the gradient vector of the function at that point.

For function (a), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[2/x³, 2y, 22] = [2, 2, 22].

The direction of this gradient vector is given by the direction in which each of its components is increasing the most rapidly. In this case, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

For function (b), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[4y + 4z, 4x + 4z, 4x + 4y] = [4, 4, 4].

Again, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

For function (c), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[2x, 2y, 2z] = [2, 2, 2].

As before, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

Therefore, for all three functions, the direction of fastest increase at (1, 1, 1) is the direction of the positive x, y, and z axes.

Step-by-step explanation:

the answer is 5 2 9 2

really all you have to do is multiply 126 * 2 * 7 * 3

then all that's next is to just put the letters in the order they were originally at the end of the answer

Answer:

Sooo sorry if wronge put the third one colosseums

====================================================

Explanation:

Segment AB is tangent to circle C. That tells us angle ABC is a 90 degree angle (the tangent is always perpendicular to the radius at the point of tangency). In other words, segments AB and BC are perpendicular. So triangle ABC is a right triangle.

The hypotenuse is AC = 22+22 = 44 units. One of the legs is BC = 22 units, due to the fact that radii of the same circle are the same length.

We then use the pythagorean theorem to find the missing leg length.

(AB)^2 + (BC)^2 = (AC)^2

(AB)^2 + (22)^2 = (44)^2

(AB)^2 + 484 = 1936

(AB)^2 = 1936 - 484

(AB)^2 = 1452

AB = sqrt(1452)

AB = 38.105118 which is approximate

AB = 38.1 after rounding to the nearest tenth

Answer:

(7.5 x 10-10 kg) / (9.1 x 10-31 kg) ≅ 8.24 x 1020

Step-by-step explanation:

Divide the mass of one dust particle by the mass of one electron, and that will be your answer.

A distribution is negatively skewed if the mode is larger than the mean. The final answer is C.

In a negatively skewed distribution:

A. the median is larger than the mode.

B. the mean is larger than the mode.

C. the mode is larger than the mean.

D. the mean is larger than the median.

Negatively Skewed Distribution:

left skewed distributions occur when the long tail is on the left side of the distribution. Statisticians also refer to them as negatively skewed. This condition occurs because probabilities taper off more slowly for lower values. Therefore, you’ll find extreme values far from the peak on the low side more frequently than the high side.

The distribution is negatively skewed if the data values are clustered on the right side of the curve causing it to have a peak on the right but a flatter tail on the left side. This happens when the data set has more frequently occurring higher values than lower values.

When the median is closer to the box’s higher values and the lower whisker is longer, it’s a left skewed distribution. Notice that the longer tail extends towards the lower values, making it negatively skewed.

To find out if the data set follows a normal or skewed distribution, the three measures of central tendency (mean, median, and mode) can be compared.

The mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution

The distribution is negatively skewed  if the mean is lesser than the median and the median is lesser than the mode.

The given scenario is the same as negatively skewed I if the mode is larger than the mean. The final answer is C.

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Answer:

Radius = 14 units

Center = ( 6, 8)

Step-by-step explanation:

The correct equation is ,

=> (x-6)² + (y-8)² = 196

=> (x-6)² + (y-8)² = 14²

=> ( x - h)² + ( y - k)² = r²

Hence on comparing we have,

The side of the cube, the faces will be 13 cm.

What is cube?

The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6 sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.

Sarah has a cube with a volume of 2,197 cubic cm.

side is ∛(2197) =13 cm

So the side of the cube will be 13 cm.

Hence, the side of the cube, the faces will be 13 cm.

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Answer:

see explanation

Step-by-step explanation:

C = 2πr ( r is the radius )

isolate r by dividing both sides by 2π )

[tex]\frac{C}{2\pi }[/tex] = r

given C = 54 , then

r = [tex]\frac{C}{2\pi }[/tex] = [tex]\frac{54}{2\pi }[/tex] = [tex]\frac{27}{\pi }[/tex] inches

Answer:

B and E

Step-by-step explanation:

If you look closely and compare the two, you could tell which angles are the same.

B) The length of GB is 3 in the given triangle.

The centroid of a triangle is the point at which the three medians of the triangle intersect. A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. The three medians divide the triangle into six smaller triangles, each with a vertex at the centroid.

The ratio in which the centroid divides a median of a triangle is 2:1. That is, the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.

So, if G is the centroid and B is the midpoint of the side opposite to point A, the ratio of EG: GB is 2:1.

so the length of GB = EG/2

so the length of GB = 3

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Complete question:

In ΔAEC, G is the centroid , as shown in the figure .

if EG = 6 ,find GB

A) 2

B) 3

C) 6

D) 9

To do 5 choose 3 on calculator, there are many methods including typing the input the mathematical expansion or in scientific calculators according to the model, there is way to represent 5C3.

The notation 5 choose 3 (also known as "5C3" or "5 comb 3") represents the number of ways to choose 3 items from a set of 5 items, also known as the binomial coefficient. It is equivalent to the formula:

5C3 = (5!) / (3! × (5-3)!)

Where "!" denotes factorial, which is the product of all positive integers up to that number.

To calculate 5C3 on a calculator, you can use the above formula and input it as follows:

5!/(3!×(5-3)!)

Most calculators have a button for factorial (symbolized by "!" or "n!"), so you can use that to calculate the factorials in the formula.

For example, on a basic calculator, you can input the following:

5!/(3!×2!)

and then press enter or the "=" button to get the result which is 10.

On some scientific or graphing calculators the notation is different, it could be represented as "comb(5,3)" or "5C3" and you just need to enter it as such.

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Answer:

nwhbjwhr

Step-by-step explanation:

ewrwrwrwewe

Answer:

r ≈ 22.44 ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ), then

141 = 2πr ( divide both sides by 2π )

[tex]\frac{141}{2\pi }[/tex] = r , that is

r ≈ 22.44 ft ( to the nearest hundredth )

Step-by-step explanation:

plug it in

circumference = 2 x Pi x r

141 = 2 x 3.14 x r

141 = 6.28 x r

141 ÷ 6.28 = r

22.45 = r

Tracy got 20 questions correct in her test.

Tracy took a test in which there are 24 questions, out of which Tracy got 5/6 correct.

Hence he got 24 x 5/6 = 20 questions correct.

An equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.

So ,an equation to model this would be:

x = 24 x 5/6

where x is the number of questions tracy answered correctly.

Hence Tracy answered 20 questions correctly.

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Area of a parallelogram

= length × height

= 20 ft. × 8ft.

= 160 ft.²

Señor Ochoa draws the perimeter of the garden with actual length of the vertical and horizontal legs of his triangular garden 3 meters as 6cm in his initial drawing with 18.5cm third side. Then new drawing with the vertical and horizontal legs of 18 cm

A scale drawing is a representation of an object or space that is reduced or enlarged in proportion to the actual size. To make a new scale drawing of Señor Ochoa's garden with the new dimensions of 18 centimeters for the vertical and horizontal legs of the triangle, you would need to apply a scale factor of 18/6 = 3 to the original drawing.

So, you would multiply each original dimension by 3 to get the new dimensions for the scale drawing.

The new scale drawing would be:

6cm × 3 = 18cm

6cm × 3 = 18cm

8.5cm × 3 = 25.5cm

The new scale is

= scale dimension/ original dimension

= 18cm/ 3m

= 18cm/ 300cm

= 3/ 50

It is also worth noting that as you are changing the scale, the measurement of the hypotenuse of the triangle would be affected, which is the square root of 3 meters, that would be approximately 25.5cm, which is the same as the original measurement on the original drawing.

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Answer:

a) La probabilidad de que a una persona elegida al azar no le guste ver la tele es 0.61 0 61%.

b) La probabilidad de que a una persona elegida al azar le guste leer, sabiendo que le gusta ver la tele, es 0.68 o 68%.

c) La probabilidad de que a una persona elegida al azar le guste leer es 0.77 o 77%.

Step-by-step explanation:

La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.

[tex]P(A)=\frac{numero de casos favorables}{numero de casos posibles}[/tex]

a) A 47 personas les gusta ver la tele. Si la encuesta fue hecha a 120 personas, entonces a 73 personas (120 - 47) no les gusta ver la tele. Por lo que la probabilidad de que a una persona elegida al azar no le guste ver la tele es calculada como:

[tex]P=\frac{73}{120}[/tex]

P= 0.61= 61 %

La probabilidad de que a una persona elegida al azar no le guste ver la tele es 0.61 0 61%.

b) A 32 personas les gusta leer y ver la tele. Entonces la probabilidad de que a una persona elegida al azar le guste leer, sabiendo que le gusta ver la tele, es calculada como:

[tex]P=\frac{32}{120}[/tex]

P= 0.68= 68%

La probabilidad de que a una persona elegida al azar le guste leer, sabiendo que le gusta ver la tele, es 0.68 o 68%.

c) A 92 personas les gusta leer. Entonces la probabilidad de que a una persona elegida al azar le guste leer es calculada como:

[tex]P=\frac{92}{120}[/tex]

P= 0.77= 77%

La probabilidad de que a una persona elegida al azar le guste leer es 0.77 o 77%.

Answer: 10

Step-by-step explanation:

A sample space refers to the set of the outcomes that are possible during an experiment. It should be noted that the sample space is typically represented by using the symbol, “S”.

For example, in a random experiment that involves throwing a coin, the results is either the head or tail, therefore, the sample space is 2. In this case, the sample space will be:

= 1 Yellow + 2 blue + 3 red + 4 green

= 10

The graph of the given line 2x+3y=6 intersects the Y-axis at (0,2).

For the graph of linear equation to intersect the Y-axis, its X-co-ordinate should be zero or the abscissa is zero as Y-axis as the equation of Y-axis is x=0. Also the set of coordinates should satisfy the equation.

According to the first condition the x-coordinate of the equation should be zero so in equation 2x+3y=6 substituting the value of x as zero  2(0)+3y=6

3y=6  

y=6/3=2

So at point (0,2), the graph of the given line 2x+3y=6 intersects the Y-axis.

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Answer:

hi the answer is y=-3

Step-by-step explanation:

i got it right on my test