Solve the system of equations: {2(3x-2y)+1=7x, 12(x+y)-15=7x+12y

Answer:

Step-by-step explanation:

hello :

27 ×32 = 3x×2y

means : 27 ×32 = 6xy

xy= (27 ×32)/6

xy = 144

but : 144 =12² = (4×3)²=(2²×3)²

144=2^4 ×3²

so : xy = 2^4 ×3²

if  x and y the integere numbers so x and y are the divisors of 144

1  , 144,  2 ,72 , 4 , 36 , 8  18 , 3 , 48  , 6  , 24 , 9 , 16 , 12

Answer: 53 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.

Answer:

El valor total de la cuenta después de 5 años es de $3,598.

Step-by-step explanation:

Para encontrar la respuesta, tienes que utilizar la fórmula para encontrar el valor futuro:

VF=VP*(1+i)^n

VF=valor futuro

VP= valor presente=$3000

i=tasa de interés=0.037

n=número de periodos de tiempo=5 años

Ahora, puedes reemplazar los valores en la fórmula:

VF=3,000*(1+0.037)^5

VF=3,000*(1.037)^5

VF=3,598

De acuerdo a esto, la respuesta es que el valor total de la cuenta después de 5 años es de $3,598.

Answer:29

Step-by-step explanation:

d[AB]=|45-16|=29

A number line is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

The length AB is 29.

AB = 29 is our answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

A is at point 16.

B is at point 45.

Now,

The distance between A and B.

= B - A

= 45 - 16

= 29

Thus,

The length AB is 29.

AB = 29 is our answer.

Learn more about number line here:

https://brainly.com/question/13425491

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Answer:

1) N^2 + 1

2) 5*N - 9

3) n*5 + 1    (con n entero)

4) n*2 + 1    (con n entero)

Step-by-step explanation:

1)  El cuadrado de un número aumentado en 1.

Podemos definir a N como el número.

El cuadrado de N es:

N^2

Y a esto lo tenemos que aumentar en 1, entonces tenemos:

N^2 + 1

Esto es el cuadrado de un número aumentado en 1.

2)  Cinco veces un número menos 8.

Esto es:

5*N  (5 veces un número)

Y a esto le restamos 8, para obtener:

5*N - 8

3) El número siguiente a un múltiplo de 5

Un multiplo de 5 se escribe como:

n*5

Donde n es un número entero.

El numero siguiente es:

n*5 + 1

4) Un número impar.

Bien, sabemos que un número par es un multiplo de 2.

Entonces:

n*2 es un número par.

Entonces, n*2 + 1 tiene que ser un numero impar.

En este caso la expresión algebraica es:

n*2 + 1

Answer:

-6/7 -rational and real

3120- natural, whole,integers, rational,real

5.123456...- rational and real

√2- real

0 - whole, integers, rational real

Answer:

f(x)=x^3-2x^2-5x+6

Step-by-step explanation:

this should be right if it isn't, then you probably wrote it wrong.

Answer:

x^3 - 2x^2 - 5x+ 6

Step-by-step explanation:

Answer:

The calculated value     t =   2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means      

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

               [tex]t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }[/tex]

     where

             [tex]S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }[/tex]

            [tex]S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }[/tex]

           S² =  637.1428

           S = √637.1428 = 25.24168  

The standard deviation of the sample 'S' = 25.24168   

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

         T-test statistic

               [tex]t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }[/tex]

              [tex]t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }[/tex]

             t =   2.366

Degrees of freedom

           γ = n₁+n₂ -2 = 22+15-2 = 35

     t₀.₀₅ = 2.0301

The calculated value     t =   2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means          

The correct test statistic for the test of the hypothesis for the considered situation is 2.2619 approximately.

If the sample sizes < 30, and we want to test the difference between the sample means, then we perform t-test.

Let we have:

Then, the value of t-test statistic is obtained as:

[tex]t = \dfrac{\overline{x}_1 - \overline{x}_2}{\sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}}[/tex]

If the level of significance is [tex]\alpha[/tex], then as we have:

the degree of freedom (d.f) = [tex]n_1 + n_2 - 2[/tex],

the critical value of t is found to be [tex]t_{\alpha/2}[/tex] , then if we get:

[tex]|t| < t_{\alpha/2}[/tex] we cannot reject the null hypothesis

and if we get [tex]|t| > t_{\alpha/2}[/tex] , then we may reject the null hypothesis and thus, accept the alternate hypothesis.

For this case, we're specified that:

For sample of stray dogs:

For sample of stray cats:

Thus, the t-test statistic for the difference of mean of these two samples is calculated as:

[tex]t = \dfrac{\overline{x}_1 - \overline{x}_2}{\sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}}\\\\t = \dfrac{120-100}{\sqrt{20^2/22 + 30^2/15}} = \dfrac{20}{\sqrt{200/11 + 60}}\\\\\\t \approx 2.2619[/tex]

Thus, the correct test statistic for the test of the hypothesis for the considered situation is 2.2619 approximately.

Learn more about two sample t-test here:

https://brainly.com/question/23797565

Answer:

164

Step-by-step explanation:

Answer:

the area is 20 feet^2

Step-by-step explanation:

For area, you multiply the lengths together

Answer:

Yes because you would need to divide first before subtracting

Step-by-step explanation:

Answer:

yes, because of PEMDAS

divison always comes before subtraction

Answer:

the answer is c

Step-by-step explanation:

36x36 + 36x60

=3456 and add squared

Given:

The shape of all building blocks is a cube of side 4 cm.

To find:

The volume of six building blocks.

Solution:

Volume of a cube is:

[tex]V=a^3[/tex]

Where, a is the side length of the cube.

Putting [tex]a=4[/tex], we get

[tex]V=(4)^3[/tex]

[tex]V=64[/tex]

It means the volume of each building block is 64 cubic cm.

Now, the volume of six building blocks is

[tex]Volume=6\times V[/tex]

[tex]Volume=6\times 64[/tex]

[tex]Volume=384[/tex]

Therefore, the volume of six building blocks is 384 cubic cm.

Answer:

23°

Step-by-step explanation:

For this scenario say point G is the center point,

If we look to the left, we see angle FGE has a value of 23

and in this case angle CGD is a congruent angle to FGE therefore the two angles must be the same

so therefore angle CGD should be 23 degrees

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

the college application, housing expenses if you're on campus, food and groceries, extra money if you need textbooks, there's so much more too

Answer:

ok so square 13 cm, and square 4 cm. then you will add those together then take that number and find the square root  plz mark brainliest

Answer:

its right

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

3+3+2=8

8*4=32

She can listen to part of her playlist in those extra three minutes, but the question asks for the ENTIRE PLAYLIST

Given:

The given data set are:

8,12,14,14,20

8,12,14,14,22

9,13,14,15,19

All of the above

To find:

The set of data that has the highest interquartile range(IQR).

Solution:

We know that, the interquartile range(IQR) of a data set is the difference between the third quartile and first quartile.

[tex]IQR=Q_3-Q_1[/tex]

All the given data set has five values in ascending order. So, the first value is the minimum value, second value is the first quartile, third value is the median, the fourth value is the third quartile and the fifth value is the maximum value.

For 8,12,14,14,20,

[tex]IQR=14-12[/tex]

[tex]IQR=2[/tex]

For 8,12,14,14,22,

[tex]IQR=14-12[/tex]

[tex]IQR=2[/tex]

For 9,13,14,15,19,

[tex]IQR=15-13[/tex]

[tex]IQR=2[/tex]

All interquartile ranges are equal. So, all the data sets has t he highest interquartile range.

Therefore, the correct option is D.

Answer:

The area of the polygon is 624.5 square feet.

Step-by-step explanation:

The total area of the figure ([tex]A[/tex]), in square feet, is the sum of the areas of two triangles and a rectangle, that is:

[tex]A = A_{I}+A_{II}+A_{III}[/tex] (1)

Where:

[tex]A_{I}[/tex] - Area of the big triangle, in square feet.

[tex]A_{II}[/tex] - Area of the small triangle, in square feet.

[tex]A_{III}[/tex] - Area of the rectangle, in square feet.

Then, we expand the formula by using all dimensions presented in the image attached:

[tex]A = \frac{1}{2}\cdot (25\,ft)\cdot (33\,ft-8\,ft) + \frac{1}{2}\cdot (8\,ft)\cdot (43\,ft-35\,ft) + (35\,ft)\cdot (8\,ft)[/tex]

[tex]A = 624.5\,ft^{2}[/tex]

The area of the polygon is 624.5 square feet.

Answer:

hello

Step-by-step explanation:

yeah

Answer:

F= 42

C= 48

A= 48

B= 132

D= 132

Step-by-step explanation:

Answer:

where is the question

Step-by-step explanation:

chai