if you mix 3 ounces of blue paint and 2 ounces of yellow paint and decided to make 20 ounces how much of the yellow paint will there be?

Answer:

l. and ll and lll only

Step-by-step explanation:

Horizontal lines are parallel so as suggested in:

1. Vertical angles are congruent, so 5a = 115.

2. Alternate interior angles are congruent, so b - 12 = 65.

3. Corresponding angles are congruent and linear angle pairs sum up to 180, so (b-12) + 65 = 180.

However, alternate interior angles are congruent,

as stated in 2nd suggestion too, so the sum is not 180 but 130.

Therefore 4th suggestion is not correct.

The length and width of the rectangular poster are 23 inches and 7 inches respectively.

Here we have to find the dimensions of the length and width of the rectangular.

Data given:

length of the rectangular poster is 2 more than three times its width.

Let us assume that the width of the rectangular is x.

The area of the poster = is 161 inches²

So by this, we get the length 3x + 2.

width = x

length = 3x + 2

The formula of the area of the rectangular:

Area = length × width

161 = (3x+ 2) × x

161 = 3x² + 2x

3x² + 2x - 161 = 0

3x² + 23x - 21x - 161 = 0

x(3x + 23) - 7( 3x + 23) = 0

(3x + 23) ( x -7)= 0

x = -23/3, 7

As the length cannot be negative so we get the value of x as 7

width = 7 inches

length = 3x + 2

= 3×7 + 2

= 21 + 2

= 23inches

Therefore the length and width are 23 inches and 7 inches respectively.

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Answer: I dunno

Step-by-step explanation:

Answer: 13

Step-by-step explanation: Solve this problem by. using the Pythagorean Theorem

[tex]12^{2} + 5^{2} = \sqrt[2]{C}[/tex]

144 + 25 = 169

[tex]\sqrt[2]{169}[/tex] = 13

THe Hypotenuse or distance between the triangle diagonals is 13.

The number of men on the sight - seeing tour was  22 .

In the question ,

it is given that,

the ratio of women to children on the tour is = 5 : 2

let the number of men in the sight seeing tour =  m

let the number of women in the sight seeing tour =  w

let the number of children in the sight seeing tour =  c

So , w/c = 5x/2x

also the ratio of children to men is 5/11 ,

c = 5y and m = 11y

the number of women on the sight seeing tour is less than 30 ,

which is 5x < 30 ,

x < 6

but we have c = 2x and 5y ,

and since c is a multiple of 5 , 2x also has to be a multiple of 5 ,

earlier we got , x < 6 ,

Now using x =5 , we get c = 2*5 = 10

and so , 10 = 5y

y = 2 ,

So , the number of men = 11y = 11*2 = 22 men

Therefore , the number of men are 22 .

The given question is incomplete , the complete question is

On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?

(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11.

(2) The number of women on the sight-seeing tour was less than 30.

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Answer:

i = (L – 1)/(m – 1) = 99/3 = 33. i = 33.

Step-by-step explanation:

Investment worth today  is $23520 and interest earned = $3520 on compound interest.

What is compounding interest?

Compound interest is interest calculated on the initial principal, that conjointly includes all of the accumulated interest from previous periods.

Generating "interest on interest" is thought because the power of interest.

Main body:

1)

time = 5.5 years

rate = 2.96%

Principle amount = $20000

Compounding interest = P(1+r/n)^tn

where

n = number of times interest applied per time period

t=number of time periods elapsed

here n = 365

Amount =  20000(1+0.0296/365)^5.5*365

              = 20000*1.176

              = $23520

hence ,interest earned = $23520 - $20000 = $3520

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The probability of selecting D twice in the random selection is D. 4 / 9.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

It should be noted that the probability of selecting D will be:

= 2 / 3.

Therefore, the probability of selecting D twice will be the multiplication of the probability that's gotten twice. This will be illustrated thus:

= 2 / 3 × 2 / 3

= 4 / 9

Therefore, the probability is 4 / 9.

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Answer:

table 3

Step-by-step explanation:

As we know that

A Linear function is the one whose graph represents a line OR value of its dependent and independent variable change at a rate which remains constant throughout.

Now in the fourth table the values of x and y are given as show below:

In a book, a study of analysis with four groups is recommended to include a maximum of four prepared research topics.

These projects give you and your students the chance to research watershed-related subjects outside of the regular chemical water testing every three weeks. They give your pupils the chance to hone their research and scientific method skills, examine issues related to waterways that interest them, and analyze data and solve problems. For a study with four groups, a book can only prescribe a maximum of four planned research topics.

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A local deli makes turkey sandwiches and salami sandwiches at a weekly ratio of 2 salami sandwiches for every 5 turkey sandwiches. If the deli makes 60 turkey sandwiches this week, how many salami sandwiches did they make?

5 salami sandwiches

16 salami sandwiches

30 salami sandwiches

24 salami sandwiches

2 to 5 = x to 60

60/5 = 12

2 * 12 = 24

Answer: x < 4

Step-by-step explanation: look at the link attached

The antiderivative of a function f will be the integral of differentiated  value of the function i.e. the function itself.

What is Antiderivative of a function?

A function is said to be antiderivative if its derivative equals the original function. The antiderivative function is the same as an indefinite integral. The limit of a sum of terms f (x) x in the limit that approaches zero, where is the integrand function, is known as a definite integral.

Considering a function f(x) = Sin x

                                  dy/dx = Cos x

 Now, the integral of Cos x would be known as Anti derivative.

here, ∫ Cos x = Sin x

thus, Anti derivative of Cos x is equal to the function itself.

hence, proved.

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The number of ways would be 2.68367259e14 for selecting 15 candidates out of  66 candidates.

Generally speaking, an arrangement of objects is just a collection of them. The sequence of the n items has no bearing on the number of "arrangements" that can be made of them (order is significant).

Total Candidates for software engineer = 66

Total Short listed candidates = 15

To find:

Number of 15 Candidates set possible

  ⁶⁶C₁₅ = [tex]\frac{66!}{51! 15!}[/tex]

After Calculating from calculator we get,

2.68367259e14.

Hence the number of ways would be 2.68367259e14.

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Answer:

Step-by-step explanation:

Circle A will be enlarged by a scale factor of 2 to assist demonstrate how circle A and circle B are comparable.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

The equation of a circle with the center and radius r

( x − a )² + ( y − b )² = r²

The equation of circle A,

(x-(-2))²+(y-(-1))²=2²

x²+4+4x

The equation of circle B,

(x-1)²+(y-2)²=4²

Thus, circle A will be enlarged by a scale factor of 2 to assist demonstrate how circle A and circle B are comparable.

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The error was made when he added the number in the radical expression in the computation, despite the fact that the numbers do not have the same base.

Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.

The expression is given in the question following:

4√5 + 7√3

11√8

The error was made in that he add the number in the radical expression in the calculation while the terms are not the same base.

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Answer:

(2,-1)

Step-by-step explanation:

The simplification of the given indices is; D: nine raised to the fourth power divided by three raised to the tenth power

How to use the Law of Indices?

This is written as;

(9⁻² * 3⁵)⁻²

According to laws of indices, we know that;

(a²)³ = a²*³ = a⁶

Thus;

(9⁻² * 3⁵)⁻²= (9⁻²)⁻² * (3⁵)⁻²

⇒ 9⁴ * 1/3¹⁰

⇒ 9⁴/3¹⁰

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Answer:The simplification of the given indices is; D: nine raised to the fourth power divided by three raised to the tenth power

The equation of the function is: B = -5x + 30

X-intercept is 6, which means after 6 hours, the battery is totally drained.

The x-intercept of a function is the point on the x-axis that the line intercepts, which is the value of x when y = 0.

Find the slope of the function (m):

Slope (m) = change in B / change in t = (20 - 10) / (2 - 4)

Slope (m) = 10/-2

Slope (m) = -5

The y-intercept (b) = 30.

Write the equation of the function by substituting m = -5 and b = 30 into B = mt + b:

B = -5x + 30

The x-intercept of the function is 6, which represents the hours it took for the whole battery to drain.

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Answer:

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

Given sequence:

Find the common ratio, the ratio of two consecutive terms:

or

Answer:

Step-by-step explanation:

a mouse weighs around 18–35 gram. [ 1] , while an average elephant around 5,443 kilogram. [ 2] Which means an elephant is about 200,000 times heavier then a mouse. (of course, a baby elephant of 100 kilogram compared to a heavy mouse (33 1 3 gram) only weighs 3000 times heavier) Footnotes. [ 1] Species Specific Information: Mouse.

hence proved If number is 2t + 1 where t belongs to integer, then it is odd integer.

Odd number integers = 2k + 1, where k is integer

Even number integer = 2k

Odd integer + even integer

= 2k + 1 + 2k

= 4k + 1

= 2(2k) + 1

Let 2k = t, where t is integer

 = 2t + 1

= Odd integer by definition

If number is 2t + 1 where t belongs to integer, then it is odd integer.

Hence proved.

The question is incomplete. The complete question is :

Each statement below involves odd and even integers. An odd integer is an integer that can be expressed as 2k+1, where k is an integer. An even integer is an integer that can be expressed as 2k, where k is an integer. Prove each of the following statements using a direct proof. (a) The sum of an odd and an even integer is odd

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A scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.

What is scatter plot ?

Dots are used to indicate values for two separate numeric variables in a scatter plot . The values for each data point are shown by the position of each dot on the horizontal and vertical axes.

Scatter plot shows the relationships between variables are visualized using scatter plots.

The given data can highlight the distribution patterns or demonstrate two sets of rainfall data for two different time periods in the same location.

From the given data, it is observed that the given data is observed in the scatter plot.

Hence, a scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.

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Try reducing your annealing temperature by a few degrees and repeat the PCR.

What is the principle of PCR machine ?

The PCR technique is based on the enzymatic replication of DNA. In PCR, a short segment of DNA is amplified using primer mediated enzymes. DNA Polymerase synthesis new strands of DNA complementary to the template DNA.

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There can be 432 Types of Combinations for a 4-digit number beginning with 1 that has exactly two identical digits

What is permutation and combination?

[tex]$11xy,\qquad 1x1y,\qquad1xy1$[/tex]

Because the number must have exactly two identical number digits,[tex]$x\neq y$[/tex], [tex]$x\neq1$, and $y\neq1$[/tex]. Hence, there are [tex]$3\cdot9\cdot8=216$[/tex]  number of this form.

Now suppose that the two identical digits are not 1. Reasoning similarly to before, we have the following possible combination:

[tex]$1xxy,\qquad1xyx,\qquad1yxx.$[/tex]

Again,,[tex]$x\neq y$[/tex], [tex]$x\neq1$, and $y\neq1$[/tex]. There are [tex]$3\cdot9\cdot8=216$[/tex] numbers of this form.

Thus the answer is 216+216=432

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The value of d is 0.05.

What is cohen?

A standardized effect size called Cohen's d is used to compare the means of two groups. It's frequently applied when contrasting a treatment with a control group. It may be an acceptable effect size to include with the findings of the t-test and the ANOVA. Cohens d is often used in psychology.

Here, we have

Given

Mean = 5

Standard deviation = 100

We have to find the value of d

So, we apply here formula for d

Cohen d = mean / standard deviation      ........................1

Now, we put the value of mean and  standard deviation and we get

Cohen d = 5 / 100

Cohen d = 0.05

Hence, the value of d is 0.05

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More than twice as many roast beef sandwiches as the deli sold over the course of five months.

Let the tuna sandwich sold by deli be 'x'

Then, tuna sandwich for 5 months-

1st month - x1

2nd month - x2

3rd month - x3

4th month - x4

5th month - x5

Then,

Selling of roast beef sandwich is 3 times more than tuna sandwich.

Then, roast beef sandwich for 5 months-

1st month -3x1

2nd month - 3x2

3rd month -3x3

4th month - 3x4

5th month - 3x5

Thus, the difference is-

Difference = (3x5 + 3x4 + 3x3 +  3x2 + 3x1) - (x1 + x2 + x3 + x4 + x5)

Difference  = 2x1 + 2x2 + 2x3 + 2x4 + 2x5

Thus, more than twice as many roast beef sandwiches as the deli sold over the course of five months.

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Answer:

Step-by-step explanation:

The total number of miles traveled is given by the following option:

17 miles.

The total distance is divided into three parts, obtained as follows:

The generic notation of two points is given as follows:

[tex](x_1,y_1), (x_2,y_2)[/tex]

The distance between two points is then given by the equation presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence each distance in this problem is given as follows:

The total distance is the sum of each distance, hence it is given as follows:

5 miles + 7 miles + 5 miles = 17 miles.

Hence the third option is correct.

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