solve the inequality

16 - 2x > 0

Step-by-step explanation:

this applies to any two consecutive square numbers

1 and 4

144 and 169

since a square number is formed by multiply a number by itself and the normal sequence of numbers is odd even odd even...

no odd number will be followed by its kind and same to even numbers

square of 2 - square of 1

4 - 1 = 3

square of 13 - square of 12

169 - 144 = 25

Answer:

2

Step-by-step explanation:

5 bottles = 10 dollars

divide by 5 to get 1 bottle

now divide 10 by 5 that will be 2

2$ for 1 bottle

Step-by-step explanation:

numbers that can not be written as a fraction

Step-by-step explanation:

x -2 -1 2 7

y -6 -6 -2 3

All y are in under root

The side length of the cube is given by: x = √(a/6). The function v(x) can be used to determine the side length, x, of a cube given the surface area of the cube, a.

The formula for the surface area of a cube is given by:

SA = 6x²

where x is the side length of the cube.

The formula for the volume of a cube is given by:

V = x³

where x is the side length of the cube.

Now, we have the surface area of the cube, which is a.

So, we can rewrite the surface area formula as:

a = 6x²

Dividing both sides by 6, we get:

x² = a/6

Taking the square root of both sides, we get:

x = √(a/6)

Therefore, the side length of the cube is given by:

x = √(a/6)

So, the function v(x) can be used to determine the side length, x, of a cube given the surface area of the cube, a.

To know more about surface area visit:

https://brainly.com/question/29298005

#SPJ11

Answer:

B)41.2

C)0.736

D)6.132

Step-by-step explanation:

B) 412/10=41.2

C)73.6/100=0.736

D)6132/1000=6.132

hope this helps

Answer:

Answer is below

Step-by-step explanation:

Answer:

u just multiply7×5t

=35t

Answer:

Point w

Step-by-step explanation:

Point w is the coordinate (5,5)

Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

\(\qquad \sf  \dashrightarrow \: (f + g)(x)\)

\(\qquad \sf  \dashrightarrow \: f(x) + g(x)\)

\(\qquad \sf  \dashrightarrow \: (4 {x}^{2} - 5x) + (3 {x}^{2} + 6x - 4)\)

\(\qquad \sf  \dashrightarrow \: 7 {x}^{2} + x - 4\)

Two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

The two-sample t-test defined as the method used to test whether the unknown population means of two groups are equal. The two sample t-test is also called independent samples t-test. Because the two samples of the data are statistically independent.

A paired t-test is used to find the difference between two variables usually separated by time for the same subject. By using the paired t-test  we can find the mean difference between pairs of measurements is zero or not. So  paired t-test is used, when data is in the form of matched pairs

Hence, two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

Learn more about t-test here

brainly.com/question/15870238

#SPJ4

Answer:

\( 3^{12} \)

Step-by-step explanation:

\( \dfrac{(3^5)^2}{3^{-2}} = \)

\( = \dfrac{3^{10}}{3^{-2}} \)

\(= 3^{10-(-2)}\)

\( = 3^{10 + 2} \)

\( = 3^{12} \)

Answer:

\(3^{12}\)

Step-by-step explanation:

\(\frac{(3^5)^2}{3^{-2}} \\=\frac{3^{(5*2)}}{3^{-2}} \\=\frac{3^{10}}{3^{-2}} \\=3^{(10-(-2)}\\=3^{(10+2)}\\=3^{12}\)

Angie used a scale of 1:344 in her drawing of the parking lot, where 1 centimeter represents 344 centimeters in reality.

To determine the scale used in Angie's drawing, we can compare the length of the parking lot in the drawing (348 centimeters) to its actual length (120 meters). We need to convert the actual length to centimeters for an accurate comparison.

Since 1 meter is equal to 100 centimeters, the actual length of the parking lot is 120 meters * 100 centimeters/meter = 12,000 centimeters. Dividing the length of the drawing (348 centimeters) by the actual length in centimeters (12,000 centimeters) gives us a scale of 1:34.4.

However, the question states that the length of the parking lot in the drawing is 348 centimeters, so the scale used by Angie is 1:344 (348 centimeters = 1 meter).

Learn more Scale centimeter click here :brainly.com/question/8955867

#SPJ11

The double-angle formula for sine is proven by setting x = y in the addition formula for sine: sin(2x) = 2sin(x)cos(x).

To prove the double-angle formula for sine using the addition formula for sine, we start with the addition formula:

sin(x + y) = sin(x)cos(y) + cos(x)sin(y)

We set x = y to get:

sin(2x) = sin(x + x) = sin(x)cos(x) + cos(x)sin(x)

Simplifying the right side:

sin(x)cos(x) + cos(x)sin(x) = 2sin(x)cos(x)

Therefore, we have:

sin(2x) = 2sin(x)cos(x)

which is the double-angle formula for sine.

Learn more about Double-angle

brainly.com/question/30402422

#SPJ11

Answer:

The original price is 170

Step-by-step explanation:

Let x be the original price

x* .20 is the decrease

x - .20x = new price

.80x = new price

.8x = 136

Divide each side by .8

.8x/.8 = 136/.8

x =170

The full price is represented by 100%. If this computer was decreased by 20%, so it worth 80% now.

So, we can make a rule of three: 80% value is equals to 136, how much is 100%?

80% ------------ 136

100% ----------- x

Let's multiply "making a x":

\(80x = 136\cdot 100\\80x = 13.600\\x = \frac{13600}{80} \\x = 170\)

Therefore, the price before the decrease was £170.

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

Learn more about specific gravity here

brainly.com/question/8808140

#SPJ4

The ordered pairs that satisfy the function is B)(0,20) and D)(10,-20).

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here the given function is y=-4x+20.

Now put x=6 and y=4 then,

=> 4=-4(6)+20

=> 4 = -24+20

=> 4 ≠ -4.

Then the coordinate (6,4) dost not satisfy the function.

Put x=0 and y=20 then,

=> 20 = -4(0)+20

=> 20= 0+20

=> 20=20

Hence the coordinate (0,20) satisfy the function.

Now put x=-4 and y=20 then,

=> 20 = -4(-4)+20

=> 20 = 16+20

=> 20 ≠ 36

Hence the coordinate (-4,20) does not satisfy the function.

Now put x=10 and y=-20 then,

=> -20 = -4(10)+20

=> -20 = -40+20

=> -20=-20

Then the coordinate (10,-20) satisfy the function.

Hence the ordered pairs that satisfy the function is B)(0,20) and D)(10,-20).

To learn more about function refer the below link

https://brainly.com/question/11624077

#SPJ4

Answer:

Five

Step-by-step explanation:

it is a triangular prism so five sides

Give me Brainllest

Answer:

1. Mean:

6

2. Median:

7

3. mode:

8

range:

6

Explanation:

Mean:

To find the mean you must add all the digits and divide them by the number of numbers there.for eg: 1,4,6,5,4

The number of numbers there is 5 so I added these numbers and divide them by 5.

Median:

To find the median you must arrange all the numbers in order and find the middle number eg: 1,2,3,4,5

The middle number is 3 as u can see there

Mode:

In the mode, you find the number that appears the most.

for eg: 1,3,3,4,5

The number appearing here the most is the 3

Range:

you minus the highest number from the lowest number

eg: 1,2,3,4,5

5-1 is 4 so the answer for the range is 4

The procedure that should be conducted to directly address this research question is the one sample proportion z test. This is because the research question is about the proportion of ring-tailed lemurs that are left hand dominant, which is a categorical variable. The sample size is greater than 30, so the central limit theorem can be applied and the distribution of the sample proportion can be assumed to be approximately normal. Therefore, a one sample proportion z test can be used to test whether the proportion of left hand dominant ring-tailed lemurs is greater than 0.5.

The one sample proportion z test is a statistical test used to determine whether a sample proportion is significantly different from a hypothesized population proportion. This test requires a categorical variable and a sample size greater than 30 in order to apply the central limit theorem and assume normality of the distribution of the sample proportion. The test statistic is calculated by subtracting the hypothesized population proportion from the sample proportion and dividing by the standard error of the sample proportion.

To directly address the research question of whether more than half of all ring-tailed lemurs are left hand dominant, a one sample proportion z test should be conducted. This test is appropriate for a categorical variable with a sample size greater than 30 and assumes normality of the distribution of the sample proportion. The test will determine whether the proportion of left hand dominant ring-tailed lemurs is significantly different from 0.5, which is the null hypothesis.

To know more about statistical tests visit:

https://brainly.com/question/16244531

#SPJ11

The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

Learn more about Matrix:

https://brainly.com/question/94574

#SPJ4

A regular pentagon has side lengths of 7 inches. It is dilated by a scale factor of 2. What is the resulting perimeter of the pentagon?Main Answer:The resulting perimeter of the pentagon is

:Given, A regular pentagon has side lengths of 7 inches and it is dilated by a scale factor of 2.To find: The resulting perimeter of the pentagonSolution:The perimeter of the regular pentagon is given as:P = 5 × s where s is the length of the side of the pentagon.

So, the perimeter of the original pentagon is:P = 5 × 7P = 35 inchesThe scale factor of the dilation is 2.Therefore, the side of the new pentagon is 7 × 2 = 14 inches.So, the perimeter of the new pentagon is:P = 5 × 14P = 70 inchesTherefore, the resulting perimeter of the pentagon is 70 inches.

To know more about regular visit;

https://brainly.com/question/7486523

#SPJ11

Using 500ml of squash, the water that Ben will need is 2000ml.

If he halved the amount of squash, the water that he would need is 1000ml.

The people who use public transport are 18.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, the instructions on the bottle state that the squash should be mixed with water in a 1:4 ratio. The water needed will be:

= 4 × 500ml

= 2000ml

If he halved the amount of squash, this will be:

= 1/2 × 2000

= 1000ml

Those who use public transport will be:

= 2/3 × 27

= 18

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Answer:

The answer is C: 13/99

Step-by-step explanation:

To find the answer, you can simply look at all of the multiple choice answers and start dividing the numerator by the denominator. When you find the answer choice that has a quotient of 0.13131313131313, you will know your right answer.

The maximum area of the rectangle inside the ellipse is 2ab.

Given that,

Ellipse = x2 / a2 + y2 / b2 = 1

we know the general coordinates of any point in an ellipse of the equation

x2 / a2 + y2 / b2 = 1 is (acosθ,bsinθ)

So, we take general vertices of rectangles as

(acosθ,bsinθ), (acosθ,-bsinθ), (-acosθ,bsinθ), and (-acosθ,-bsinθ)

So, we can see that length and breadth of the rectangle is 2acosθ and 2bsinθ

So, its area will be ab4sinθcosθ (Length x Breadth)

Applying trigonometric formula 2sinθcosθ=sin2θ, let area equals to A

Now A=2absin2θ

Now as the area is the maximum given in the question, we have to differentiate it with respect to θ

dA/dθ=2abcos2θ×2 (using dsin2θ / dθ=2cos2θ)

Equating dA / dθ=2abcos2θ×2=0, it means cos2θ=0 , which means 2θ =  π / 2 and θ=π / 4

So now we to put θ=π / 4 in the equation of area which is A=2absin2θ

We get as A=2absin2π / 4=2absinπ / 2=2ab

Hence the max area of the rectangle inside the ellipse is 2ab.

To know more about rectangles visit: brainly.com/question/29123947

#SPJ4

1. The quadratic regression model is \(Y = b0 + b1X + b2X^2\) . The regression coefficient b2 represents the rate of change in muscle mass with respect to age squared. 2. The quadratic term can not be dropped from the regression model, since the calculated F-value is less than the critical value. 3. The fitted regression function in terms of the original variable X is \(Y = 87.017 + 0.241X - 0.002X^2\).

To determine the quadratic regression model follow these steps:

1. Using R program, the quadratic regression model:

\(Y = b0 + b1X + b2X^2\)

where Y is the muscle mass, X is the age.

The regression coefficients are:

b0 = 283.962

b1 = -14.501

b2 = 0.162

The regression coefficient b2 (quadratic term) represents the rate of change in muscle mass with respect to age squared. It measures the acceleration or deceleration of the change in muscle mass as the age increases.

2. Using the F-test.

\(F = [SSR(x,x^2) - SSR(x)] / [(k - 1) * MSE]\)

where k = number of coefficients = 3 (b0, b1, b2).

MSE = Mean Squared Error = 47.086

\(SSR(x,x^2), SSR(x) =\) Sum of Squares due to Regression with both X and \(X^2\)  as predictors = 230.74, due to Regression with only X as predictor = 135.03

Therefore,

\(F = [230.74 - 135.03] / [(3 - 1) * 47.086] = 2.214\)

Using a significance level the critical value for F-test is 5.143.

Since the calculated F-value (2.214) is less than the critical value (5.143), we fail to reject the null hypothesis. Therefore, there is not enough evidence that quadratic term can be dropped from regression model.

3. The fitted regression function in terms of the original variables:

\(Y = 87.017 + 0.241X - 0.002X^2\)

where X is the age and Y is the measure of muscle mass.

Know more about regression model here:

https://brainly.com/question/29657622

#SPJ11

Answer:  approximately 24 square units in the shaded areas

Step-by-step explanation:  

The area of the entire dark circles will be for each πr², then divided by 2 to get the area of the semicircles created on the sides of the triangles:

16π + 9π = 25π   Half that times value for pi

≈ 39.2699  is the area of the dark semicircles. Round to 39.27

Now the fun! Find the area of the parts subtracted by the light semicircle:

The area of the entire circle is 25π  or about 78.54. The triangle is half of an inscribed rectangle, 6×8, so 48.  Subtracted from the circle leaves about 30.54 in the four slices between the arcs of the circumference and the perimeter of the rectangle. We are concerned with only half of the slices, so we will subtract 15.27

Area of the dark semicircles minus the area of the light slices will leave the area of the shaded crescents:

Answer: 3,6,9,12,15

Step-by-step explanation:

Im not sure how to explain this but if you listen to school house rock multiple of three song it helps.

The system of inequalities is y ≤ 32 - x and y ≥ (168 - 15x)/25.

Jordan is working for two summer jobs. The amount made per hour by walking dogs is $15. The amount made per hour by clearing tables is $25. Jordan can work for a maximum of 32 hours a week. He must earn at least $168.

The number of hours spent walking dogs is represented by "x". The number of hours spent clearing tables is represented by "y". The inequalities formed are :

x + y ≤ 32

15x + 25y ≥ 168

The graph of the common shaded region is attached below. The solutions lie in the first quadrant, where the region is shaded for both the inequalities.

To learn more about inequalities, visit :

https://brainly.com/question/28823603

#SPJ1

Answer:54 is the54 d

Step-by-step explanation:

no sorry