A flock of birds perched on a tree. In the morning, each bird perched 1 tree and 1 bird left. In the afternoon, 2 chicks perched, 1 tree left over. Ask how many birds, how many trees?

Answer: B

Step-by-step explanation:

b is the only point that is in the double shaded region which means it is a solution to both the inequalities

3⁴ = 3² (9)

3²

By subtracting the exponents due to the similar bases.

The number equivalent is 9.

Step-by-step explanation:

( f- g ) (x ) = | 2X +3| - 12

: . . . . .

The solution is,  the length of TQ, in centimeters, to the nearest whole number is 167cm.

What is the scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

Triangles PQR and SQT are similar.

so, from the given figure we get,

PR/ST = RQ/TQ

now, we have,

the scale factor = PR/ST

                         = 75/50

                         =3/2

                         = 1.5

so,  RQ/TQ = 1.5

or, TQ = RQ/1.5

          =250/1.5

          =166.66

Hence, The solution is,  the length of TQ, in centimeters, to the nearest whole number is 167cm.

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The probability that the x number of people will not be more than 12 is 0.85

So, the probability that the x is not more than 12:

We know that 70% say that job stress caused health problems.

Now, get a 70% percentage of 20 people.

20/100 × 70

0.20 × 70

14 people

Probability formula: P(E) = Favourable events/Total events

F(E) = 12 and T(E) = 14

Now, calculate further as follows:

P(E) = Favourable events/Total events

P(E) = 12/14

P(E) = 0.85

Therefore the probability that the x number of people will not be more than 12 is 0.85

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\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{vertex}{(-3~~,~~5)}\qquad y=a[x-(-3)]^2+5\implies y=a(x+3)^2+5 \\\\\\ \textit{we also know that} \begin{cases} x=-1\\ y=2 \end{cases}\qquad 2=a(-1+3)^2+5\implies -3=a(2)^2 \\\\\\ -3=4a\implies -\cfrac{3}{4}=a~\hfill \boxed{y=-\cfrac{3}{4}(x+3)^2+5}\)

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

Answer:

slope -intercept form

y = -328.275 x + 3142.15

Step-by-step explanation:

Step(i):-

Given that the points are (2, 2485.6) and (6,1172.5)

The slope of the line

               \(m = \frac{y_{2}- y_{1} }{x_{2}-x_{1} }\)

              \(m = \frac{1172.5-2485.6 }{6-2 }\)

            \(m = - 328.275\)

Step(ii):-

Equation of the straight line passing through the Point (2,2485.6)

\(y - y_{1} = m(x-x_{1} )\)

y - 2485.6 = (-328.275)(x-2)

y - 2485.6 = -328.275x+656.55

  y =  -328.275x+656.55 + 2485.6

y = -328.275 x + 3142.15

Final answer:-

slope -intercept form

y = -328.275 x + 3142.15

Answer:

-22

Step-by-step explanation:

Just multiply $395 by 4. This is because $395 is the cost of one and if we're buying four, we would multiply by 4.

So,

395 x 4 = 1580

Therefore, four remote control dinosaurs will cost $1580.

Answer:

$1580

Step-by-step explanation:

395

4x

___

1580

so for 4 remotes the price is the price of one remote which is 395 multiplied by the number of remotes which is 4

The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

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Answer:

16.28

Step-by-step explanation:

By the application of algebraic procedures and logarithm properties, the roots of the logarithmic equation \(\log \sqrt{x} + \log \sqrt{x-1} = 1\) are x = 2 and x = -1.

In this question we need to solve a logarithmic equation by means of algebraic procedures and logarithm properties:

\(\log \sqrt{x} + \log \sqrt{x-1} = 1\)

\(\log \sqrt{x\cdot (x-1)} = 1\)

\(\log \sqrt{x^{2}-x} = 1\)

\(\frac{1}{2}\cdot \log (x^{2}-x) = 1\)

\(\log (x^{2}-x) = 2\)

\(x^{2}-x = 2\)

\(x \cdot (x-1) = 2\)

\(x - 1 = \frac{2}{x}\)

\(x - \frac{2}{x} = 1\)

\(\frac{x^{2}-2}{x} = 1\)

\(x^{2} - 2 = x\)

\(x^{2}-x-2 = 0\)

\((x-2)\cdot (x + 1) = 0\)

\(x = 2 \,\lor \,x= -1\)

By the application of algebraic procedures and logarithm properties, the roots of the logarithmic equation \(\log \sqrt{x} + \log \sqrt{x-1} = 1\) are x = 2 and x = -1.

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Step-by-step explanation:

Substitute the given values into the expression;

\(\frac{5(6)}{3(-4)} +6\)

Multiply;

\(\frac{30}{-12} +6\)

Divide;

30 and -12 aren't common factors. To get to 30 with -12, you need to multiply -12 by -2.5.

\(-2\frac{1}{2} +6\)

Add;

\(3\frac{1}{2} \; or \; 3.5\)

Answer:

the answer is 40

Step-by-step explanation:

I took the test on dradpoint

Answer: x = 9

Hope this helps!

Answer:

x = 9

Step-by-step explanation:

First remove the parentheses:

1/2 (x - 5) + 5 = 9x - (12x - 6) + 28

Collect the like terms:

1/2 x 5/2 + 5 = 9x - 12x + 6 + 28

Multiply:

1/2 x + 5/2 = 3x + 34

Move the terms:

x + 5 = -6x + 68

Collect like terms again:

x + 6x = 68 - 5

Divide:

7x = 63

Answer:

x = 9

The correct answer is: allows for the construction of meaningful ratios between the data values.

The interval scale of measurement allows for the construction of meaningful ratios between the data values. This means that not only can we determine the order and the difference between values, but we can also compare values in terms of their relative magnitude using ratios. However, it does not have a true zero point and therefore does not allow for the use of negative values or the construction of absolute ratios. The nominal scale, on the other hand, is the weakest scale of measurement as it only allows for categorization or naming of data without any numerical significance. The correct answer is: allows for the construction of meaningful ratios between the data values.

The interval scale of measurement allows for the construction of meaningful ratios between the data values. This means that not only can we determine the order and the difference between values, but we can also compare values in terms of their relative magnitude using ratios.

However, it does not have a true zero point and therefore does not allow for the use of negative values or the construction of absolute ratios. The nominal scale, on the other hand, is the weakest scale of measurement as it only allows for categorization or naming of data without any numerical significance.

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If angle2 is congruent to angle6, angle2 must have the same measure as angle6.

Congruent angles have the same measure, meaning their angles are equal. If angle2 is congruent to angle6, it implies that both angles have the same measure. This means that if angle6 has a measure of, for example, 45 degrees, then angle2 must also have a measure of 45 degrees. Congruent angles can be thought of as identical twins in terms of their measures. So, if angle2 is congruent to angle6, it simply means that angle2 and angle6 have the same measure.

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Answer:

y = 1/2x + 2

Step-by-step explanation:

The y-intercept is 2 because it passes through the y axis at (0,2) and the slope if 1/2

Hope that helps and have a great day!

Answer:

\(y=\frac{1}{2}x+2\)

Step-by-step explanation:

To find the equation for the line, lets try to find the slope and y-intercept of the line.

From looking at the graph, we can see that the line intersects the y-axis at y = 2. So the y-intercept would be 2.

The slope of the line would be the rise divided by the run. Looking at the graph, we can see that for every 2 the line moves in the x-direction, it moves 1 in the y-direction. This means that the rise is 1 and the run is 2. So the slope would be 1/2.

So we now know that the slope is 1/2 and the y-intercept is 2, we can now plug the information into the slope-intercept form.

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Plugging in we get

\(y=\frac{1}{2}x+2\)

And now we have the equation of the line.

I hope you find my answer and explanation to be helpful. Happy studying.

The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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Step-by-step explanation:

in a proportional relationship, one variable is always a constant value times the other.

like

y = ax

where a is constant for all points on the graph.

this means it is a straight line that has to pass through the origin (0, 0).

therefore, the 4th answer option is correct :

the graph is non-proprtional because it does not pass through the origin (0, 0).

by using the operation of multiplication, we get that 21 days is equal to 3 weeks, 504 hours, 30240 minutes and 1,814,400 seconds.

We are given the total number of days as 21.

Now, we know that:

In 1 week, we have 7 days.

So, in 3 weeks = 7 × 3 = 21 days.

Also, 1 day has = 24 hours.

So, by using multiplication, we get that:

21 days = 24 × 21 hours

= 504 hours

Also,

1 hour = 60 minutes

504 hours will be calculated again by using multiplication.

504 hours = 504 × 60 = 30240 minutes

30240 hours = 1,814,400 seconds.

Therefore, by using the operation of multiplication, we get that 21 days is equal to 3 weeks, 504 hours, 30240 minutes and 1,814,400 seconds.

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Your question was incomplete. Please refer the content below:

21 days is equal to:

a) 3 weeks

b) 504 hours

c) 30240 minutes

d) 1,814,400 seconds

e) 1081404 seconds

Select all the correct options that apply.

Answer:

Step-by-step explanation:

the answer is 2 because if you subtract and add you will get your and and good luck on the state test 5th 6th and 7th and younger kids.

Answer:

Populaiton

Step-by-step explanation:

Surveying the population will give a more accurate data set as the sample size could be biased based on the characteristics of specific players.

Let's call the cost of the dryer "x".

We know from the problem that the washer costs $68 less than the dryer, so the cost of the washer would be "x - 68".

The problem also tells us that the combined cost of the washer and dryer is $782. So we can set up an equation:

x + (x - 68) = 782

Simplifying this equation, we get:

2x - 68 = 782

Adding 68 to both sides, we get:

2x = 850

Dividing both sides by 2, we get:

x = 425

So the dryer costs $425.

The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.

Comparing amounts is done using a ratio. A ratio demonstrates how many times one amount fits inside another or how much larger one amount is than another.

If I need to mix some cement, I would add two parts cement to four parts sand. The two numbers are both portions of the entire. Hence, the 2:4 ratio (6 parts in total). The written version is crucial; 4:2 would produce a different blend.

Ratios are expressed in their most basic form. There are five green and fifteen red dots in the figure on the right. The ratio is 15:5, but like with fractions, this can be boiled down to its most basic form.

If you look at the relationship between the numbers 15:5 as is 3:1, you can see that 3 is multiplied by 5 to obtain 15 and that 1 is multiplied by 1 to get 5. The ratio, as we can see in the image, is also 3:1.

Therefore,

The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.

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2400 - 40x = 600

As she has not studied 600 flashcards still, we subtract unit rate from total.

40x - 600 = 2400

Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.

(600 + 40)x = 2400

Here 'x' represent mass. As masses are same for both. They can be joined.

By applying interior angles of triangles concept, it can be calculated that:

Triangle is a 2D shape that is bounded by three sides and has three vertices.

The three interior angles of triangles will always have a sum of 180°.

ΔABC:

            ∠A + ∠B + ∠C = 180°

4x + (7x - 2) + (5x - 10) = 180°

                       16x - 12 = 180°

                              16x = 192°

                                  x = 12°

Thus, ∠A = 4x = 4*12 = 48°

∠B = 7x - 2 = 7*12 - 2 = 82°

∠C = 5x - 10 = 5*12 - 10 = 50°

ΔDEF:

     ∠D + ∠E + ∠F = 180°

3x + 18x + (5x - 2) = 180°

                26x - 2 = 180°

                      26x = 182°

                           x = 7°

Thus, ∠D = 3x = 3*7 = 21°

∠E = 18x = 18*7 = 126°

∠F = 5x - 2 = 5*7 - 2 = 33°

ΔGHI:

 ∠G + ∠H + ∠I = 180°

16x + 16x + 13x = 180°

                 45x = 180°

                      x = 4°

Thus, ∠G = 16x = 16*4 = 64°

∠H = 16x = 16*4 = 64°

∠I = 13x = 13*4 = 52°

ΔJKL:

                  ∠J + ∠K + ∠L = 180°

(x + 8) + (6x - 5) + (2x - 3) = 180°

                                    9x = 180°

                                      x = 20°

Thus, ∠J = x + 8 = 20 + 8 = 28°

∠K = 6x + 5 = 6*20 - 5 = 115°

∠L = 2x - 3 = 2*20 - 3 = 37°

ΔMNO:

∠M + ∠N + ∠O = 180°, if ∠M = x, then:

     x + 5x + 4x = 180°

                  10x = 180°

                      x = 18°

Thus, ∠M = x = 18°

∠N = 5x = 5*18 = 90°

∠O = 4x = 4*18 = 72°

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Answer:

if your talking about the earth i dont know because no one have ever compared some random planet and earths weight

Step-by-step explanation:

That’s because the planets weigh different amounts, and therefore the force of gravity is different from planet to planet. For example, if you weigh 100 pounds on Earth, you would weigh only 38 pounds on Mercury. That’s because Mercury weighs less than Earth, and therefore its gravity would pull less on your body.

Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a  = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.