what is the equation of a line that has a slope of 3 and a y-intercept of -3

Answer:

The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.

Step-by-step explanation:

Since, we are given f(x) = square root x.

The sequence of transformations which transform f(x) into g(x) is given by:

1. Reflection across y-axis i.e. f( x ) to f( -x )

2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )

3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )

4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).

The step by step graphical representation can also be viewed below.

4:7

40/10=4

70/10=7

:)

Hope this helped

Answer:

4:7

Step-by-step explanation:

40 divided by 10 = 4

70 divided by 10 = 7

The question is about the probability of sum of numbers obtained after rolling two dice. There are 36 possible outcomes of a roll of two dice. The probability of the event that the sum of numbers obtained is 4 or greater than 9 is 1/4.

The subject of this question is probability, focusing specifically on the sample space and likely outcomes of two number cubes, or fair six-sided dice, being rolled. Part (a) of the question asks for the sample space which includes all possible outcomes of a roll of two dice i.e., (1,1), (1,2), ..., (6,5), (6,6). There are 36 possible outcomes in total.

For part (b), we are finding the probability of the event that the sum of the numbers obtained after rolling the two dice is 4 or the sum of numbers obtained is greater than 9. There are 3 ways to get a sum of 4, i.e., (1,3), (2,2), (3,1), and 6 ways to get a sum greater than 9, i.e., (4,6), (5,5), (5,6), (6,4), (6,5), (6,6). That's 9 favorable outcomes out of the total of 36. Therefore, the probability of the event is 9/36, which simplifies to 1/4.

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The probability of getting a sum of 4 or a sum greater than 9 is determined by dividing the number of favorable outcomes by the total number of outcomes which is 13/36

The sample space of rolling two number cubes can be listed by considering all the possible outcomes when rolling two dice. Since each die has 6 sides numbered from 1 to 6, there are a total of 36 possible outcomes.

The probability of getting a sum of 4 or a sum greater than 9 can be calculated by determining the number of favorable outcomes and dividing it by the total number of outcomes.

In this case, there are 3 favorable outcomes for a sum of 4 (1+3, 2+2, 3+1) and 10 favorable outcomes for a sum greater than 9 (4+6, 5+5, 5+6, 6+4, 6+5, 6+6).

Therefore, the probability is (3+10)/36, which simplifies to 13/36.

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Answer:

The percentages are 267% and 400% respectively.

Step-by-step explanation:

To find the answers of these, you need to divide the second number by the first. This will give you the percentage.

2/3 ÷ 1/4 = 8/3 = 2.67 = 267%

You can do the same for the second one.

2/3 ÷ 1/6 = 12/3 = 4 = 400%

To determine what percentage 2/3 is of 1/4, calculate (2/3) / (1/4) * 100, resulting in 266.67%. To find the percentage 2/3 is of 1/6, calculate (2/3) / (1/6) * 100, resulting in 400%.

When finding the percent of a fraction, you are essentially calculating what part of 100 the fraction represents. To find what percent 2/3 is of 1/4, you need to set up a proportion such that 2/3 is to 1/4 as x is to 100.

To solve this, you divide 2/3 by 1/4 and then multiply by 100:

Percent = (2/3) / (1/4) * 100

Percent = (2/3) * (4/1) * 100

Percent = 8/3 * 100

Percent = 800/3

Percent = 266.67%

Similarly, to find what percent 2/3 is of 1/6, you can use the same approach by dividing 2/3 by 1/6 and then multiplying by 100.

Percent = (2/3) / (1/6) * 100

Percent = (2/3) * (6/1) * 100

Percent = 12/3 * 100

Percent = 400%

Therefore, 2/3 is 266.67% of 1/4, and 400% of 1/6.

Convert mixed number to improper fraction:

[tex]1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{4+3}{4}=\dfrac{7}{4}\\\\4\dfrac{1}{6}=\dfrac{4\cdot6+1}{6}=\dfrac{24+1}{6}=\dfrac{25}{6}\\\\1\dfrac{3}{4}\times4\dfrac{1}{6}=\dfrac{7}{4}\times\dfrac{25}{6}=\dfrac{7\times25}{4\times6}=\dfrac{175}{24}=\dfrac{168+7}{24}=7\dfrac{7}{24}[/tex]

Final answer:

To solve 1 3/4 x 4 1/6, we convert the mixed numbers to improper fractions and multiply them, resulting in an incorrect statement that the answer is 1/4; the calculated multiplication is 175/24, which can be further simplified.

Explanation:

To solve the multiplication problem 1 3/4 x 4 1/6, we'll first need to convert the mixed numbers into improper fractions.

For 1 3/4, which is 1 + 3/4, we convert it to an improper fraction by multiplying the whole number by the denominator and adding the numerator, which gives us (1*4) + 3 = 7/4.

For 4 1/6, which is 4 + 1/6, we convert it to an improper fraction by doing the same process: (4*6) + 1 = 25/6.

Now, we multiply the two improper fractions: (7/4) x (25/6).

To multiply fractions, we multiply the numerators together and the denominators together:

7 x 25 = 175
4 x 6 = 24

So, (7/4) x (25/6) = 175/24.

Finally, we simplify the improper fraction by dividing 175 by 24, which results in a mixed number or a decimal.

Answer:

The correct answer is D

Step-by-step explanation:

Please see the attachment

Answer:d

Step-by-step explanation:

Answer:

The coordinates of orthocenter of the triangle are (1,5).

Step-by-step explanation:

The given vertices are A(0,6), B(4,6) and C(1,3).

Orthocenter of a triangle is the intersection point of all altitudes.

The product of slopes of two perpendicular lines is -1.

The slope of AB is

[tex]m_{AB}=\frac{y_2-y_1}{x_2-x_1}=\frac{6-6}{4-0}=0[/tex]

The slope of AB is 0, therefore slope of line which is perpendicular to AB is [tex]\frac{-1}{0}[/tex].

Point slope form of a line is

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

Where, m is the slope.

The equation of altitude on AB form C is

[tex]y-3=\frac{1}{0}(x-1)[/tex]

[tex]0=x-1[/tex]

[tex]x=1[/tex]                              ..... (1)

Slope of BC is

[tex]m_{BC}=\frac{y_2-y_1}{x_2-x_1}=\frac{6-3}{1-4}=1[/tex]

The slope of BC is 1 therefore the slope of altitude on BC from A is -1.

The equation of altitude on BC from A is

[tex]y-6=-1(x-0)[/tex]

[tex]y=-x+6[/tex]                         ..... (2)

Using (1) and (2) we get

[tex]x=1, y=5[/tex]

The  intersection point of two altitudes is (1,5). Therefore coordinates of orthocenter of the triangle are (1,5).

Answer:

B

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = [tex]\frac{-100}{20}[/tex] = [tex]\frac{20}{-4}[/tex] = - 5

the n th term formula ( explicit formula ) is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]

here r = - 5 and [tex]a_{1}[/tex] = - 4, hence

[tex]a_{n}[/tex] = - 4 [tex](-5)^{n-1}[/tex] with n ≥ 1

This question is solved using geometric sequence concepts, and doing this, we get that the correct option is:

[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex], second option

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, called common ration, and the general equation is given by:

[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]

In which [tex]a_1[/tex] is the first term and q is the common ratio.

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

n an

1 −4

2 20

3 −100

First term is -4, so [tex]a_1 = -4[/tex], then:

[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]

[tex]a_n = -4q^{n-1}, n \geq 1[/tex]

The common ratio is:

[tex]q = \frac{-100}{20} = \frac{20}{-4} = -5[/tex]

Thus:

[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex] is the sequence.

A similar example is given at https://brainly.com/question/24078619

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

the absolute value function always returns a positive value, that is

| a | = | - a | = a

| [tex]\frac{8}{9}[/tex] | = [tex]\frac{8}{9}[/tex]

Answer:

8/9

Step-by-step explanation:

when you put 8/9 in the lines it will stay the same.

ex: I7I=7

Answer:

B

Step-by-step explanation:

distribute parenthesis on both sides of the equation

- 24x - 12 = - 12x - 120 ( add 12x to both sides )

- 12x - 12 = - 120 ( add 12 to both sides )

- 12x = - 108 ( divide both sides by - 12 )

x = 9 → B

Answer:

345 calories.

Step-by-step explanation:

We have been given that there are 230 calories in 4 ounce of a type of ice cream.

First of all let us find calories per ounce ice-cream by dividing 230 by 4.

[tex]\text{Number of calories per ounce ice-cream}=\frac{230}{4}[/tex]

[tex]\text{Number of calories per ounce ice-cream}=57.5[/tex]

Therefore, the ice-cream contains 57.5 calories per ounce of ice-cream.

Let us find amount of calories in 6 ounces of ice-cream by multiplying number of calories per ounce by 6.

[tex]\text{Amount of calories in 6 ounces of ice-cream}=57.5\times 6[/tex]

[tex]\text{Amount of calories in 6 ounces of ice-cream}=345[/tex]

Therefore, there are 345 calories in 6 ounces of ice cream.

Answer: it is 345 calories.

Step-by-step explanation: i

Answer: Barlow has more by 178

Step-by-step explanation:

Solve for Barlow first: 4/9 of 873 is 388 boys.

Solve for Willow: since 2/3 of the students are girls, that means that 1/3 of them are boys: 1/3 of 630 = 210

Barlow has more, now find out by how many: 388 - 210 = 178.

Barlow School has a greater number of boys than Willow School, with 178 more boys.

To determine which school has a greater number of boys, we can calculate the number of boys in each school by using the given ratios. At Barlow School, 4/9 of the 873 students are boys. At Willow School, 2/3 of the students are girls, which means that 1/3 of the students are boys since there are only boys and girls at the school.

First, we calculate the number of boys at Barlow School:

Then, we calculate the number of boys at Willow School. Since 2/3 of the 630 students are girls, we need to find 1/3 to find the number of boys:

To find out which school has the greater number of boys, we compare the numbers:

Thus, Barlow School has a greater number of boys. To find out by how many, we subtract the number of boys at Willow School from the number of boys at Barlow School:

[tex]VY=wxz\qquad\text{divide both sides by }\ V\\\\\boxed{Y=\dfrac{wxz}{V}}[/tex]

Answer:

Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Step-by-step explanation:

From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then

[tex](x,y)\rightarrow (-x,y)[/tex]

The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).

Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is

[tex]\frac{F'G'}{FG}=\frac{4}{1}=4[/tex]

Length of OF is 2 unit and length of OF' is 8 units.

[tex]\frac{OF'}{OF}=\frac{8}{2}=4[/tex]

Rule of dilation with scale factor k and origin as center of dilation is defined as

[tex](x,y)\rightarrow (kx,ky)[/tex]

The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.

Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.

Answer:

Dilation by a scale factor of 4 followed by reflection about the y-axis

Step-by-step explanation:

Hope this helps

90% Would be your answer.

Answer:

90%

Step-by-step explanation:

If 9/10 alien races believes that invading Earth is a bad idea, than 90% of the alien races believes that it is a bad idea. This answer was found by converting the fraction into a percentage. There are many ways to do this, but here are two ways. If you put 9/10 into a decimal, you get 0.9, which is 90%. Or, you could multiply 9/10 by 10/10, which will get you 90/100, or 90%. I hope that my answer helped you!

Answer:

The tip is $9.00

Step-by-step explanation:

To find the tip, we multiply the tip percentage by the amount of the bill.  The tip percentage must be in decimal form.

18%  = .18

.18* $50.00 = $9.00

The tip is $9.00

Yes a triangle can have three acute angles. One example is a triangle where each angle is 60 degrees. This would be an equilateral triangle.

Note: acute means the angle is less than 90. For any triangle, the three angles always add to 180.

Answer:i think it is a

Step-by-step explanation:

Answer:

Real Estate appraisal

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

given a + b = 2a ( subtract 2a from both sides )

a - 2a + b = 0

- a + b = 0 ⇒ b - a = 0

Answer:

x=0.996

Step-by-step explanation:

[tex]3e^{2x} +5=27[/tex]

To take natural log ln , we need to get e^2x alone

Subtract 5 on both sides

[tex]3e^{2x}=22[/tex]

Now we divide both sides by 3

[tex]e^{2x}=\frac{22}{3}[/tex]

Now we take 'ln' on both sides

[tex]ln(e^{2x})=ln(\frac{22}{3})[/tex]

As per log property we can move exponent 2x before ln

[tex](2x)ln(e)=ln(\frac{22}{3})[/tex]

The value of ln(e) = 1

[tex]2x=ln(\frac{22}{3})[/tex]

Divide both sides by 2

[tex]x=\frac{ln(\frac{22}{3})}{2}[/tex]

x= 0.996215082

Round to nearest thousandth

x=0.996

Answer:

John, Gil, Sami, Hank, Tammy

Thats the scores ordered from greatest to least :)

For this case we have the following variable:

We have then that Matthew spent 15% fewer hours at the beach than landen did.

Therefore, the number of hours Mateo spent at the beach is:

[tex]L - 0.15L = 0.85 L[/tex]

Answer:

The number of hours Mateo spent at the beach is:

[tex]L - 0.15L = 0.85 L[/tex]

Answer:

11.7 Gallons

Step-by-step explanation:

First turn the percentage into a decimal then multiply it by the whole number which is 18 and you should get 11.7 and that is how many gallons are currently in the tank

Answer:

11.7

Step-by-step explanation:

To solve this problem, we need to find what is 65 percent of 18.

To do this, we can simply multiply 18 by .65. Don't forget the decimal!

The answer is 11.7

Hope this helps! (Brainliest Please!)

Answer:

Rectangles and squares have 90° corner angles.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\stackrel{doubled}{2r}\\ h=\stackrel{\textit{divided by 3}}{\frac{h}{3}} \end{cases}\implies V=\cfrac{\pi (2r)^2\left( \frac{h}{3} \right)}{3} \\\\\\ V=\cfrac{\pi (2^2r^2)\left( \frac{h}{3} \right)}{3}\implies V=\cfrac{~~\frac{4\pi r^2 h}{3}~~}{3}\implies V=\cfrac{4\pi r^2 h}{3\cdot 3}\implies \stackrel{\frac{4}{3}\textit{ of the original}}{V=\cfrac{4}{3}\cdot \cfrac{\pi r^2 h}{3}}[/tex]

Final answer:

When the radius is doubled and the height is divided by 3 in the volume formula for a cone, the new volume is 4/3 of the original volume.

Explanation:

The student has provided the formula 1/3 π r^2 • h, which represents the volume of a cone.

To find the ratio of the new volume to the original volume after the radius (r) is doubled and the height (h) is divided by 3, we must substitute these changes into the formula and simplify.

Original volume formula is V = 1/3 π r^2 • h.

If the radius is doubled (2r) and the height is divided by 3 (h/3), the new volume formula becomes

V' = 1/3 π (2r)^2 • (h/3).

After simplification, the new volume becomes V' = 1/3 π 4r^2 • h/3, which further simplifies to V' = 4/9 π r^2 • h.

Therefore, the ratio of the new volume V' to the original volume V is 4/3.

Answer:

f(2) =5

Step-by-step explanation:

We have a function f(x) = 3x-1

When we find f(2) ,let x=2

f(2) = 3*2-1

      = 6-1

    =5

Answer:

$887,761.38

Step-by-step explanation:

The principal amount the home is valued is $375,000 and it increases at a rate of 9% a year which is 0.09 and the amount of time it grew is 10 years. Therefore:

[tex]A_{final}=375000(1+0.09)^{10}=375000(1.09)^{10}=887761.38[/tex]

After 10 years the house is worth $887,761.38 if this trend continues

Answer:

$887,761.38

i know this i s the answer because i had a quiz.

PLz mark brainlest

Answer:

the number is 70

Step-by-step explanation:

let unknown number is 'x'

given that 2x/7=20

multiply by 7 both sides

2x=20*7

divide by 2 on both sides

x=(20*7)/2

x=10*7

x=70

If the quotient of twice a number divided by 7 is 20, then the number is 70.

Let the number be represented as x

Twice the number = 2x

Twice a number divided by 7 = 2x/7

The quotient = 20

To get the value of x:

2x/7   =  20

Cross multiply:

2x  =  7(20)

2x  =  140

x   =  140/2

x  =   70

Therefore, if the quotient of twice a number divided by 7 is 20, then the number is 70.

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