Rewrite in simplest terms: 4x – 5(x + 3)

Answer:

12 X=2.2

13. y = 6.4

14. m= 8.5

15. z=9.9

16. n= 18.4

17. X= 5.8

Answer:

D 108

Step-by-step explanation:

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Answer:

426.07 square units

Step-by-step explanation:

Recall that for a triangle whose angles are A,B,C  with corresponding sides a, b, c, the area G of the triangle may be computed as

G = 1/2 ab Sin C

or

G = 1/2 bc Sin A

or

G = 1/2 ac Sin B

Going by this, recall that the sum of angles in a triangle is 180 hence

94 + 26 + K = 180

120 + K = 180

Subtract 120 from both sides

K = 180 - 120

K = 60 degrees

Given that JK = 24 and JL = 41

G = 1/2 * 24 * 41 Sin 60

= 426.07 square units

Answer:

What is the two dimensional shape that is created when the shape provided is sliced horizontally? Explanation: A horizontal cut is a side to side cut. This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus, a horizontal cut would make a rectangle.

Step-by-step explanation:

Answer:

La cantidad de grados del intervalo de temperaturas registradas en el día de febrero mencionado es de:

Step-by-step explanation:

En estadística, cuando se utilizan intervalos como valores para identificar datos cuantitativos, como en este caso temperaturas registradas, deben tomarse todos los valores, en este caso enteros, desde el límite inferior (temperatura mínima) hasta el límite superior (temperatura máxima), por lo cual no se puede restar el valor máximo al valor mínimo, sino que debes identificar todos los valores y después contarlos. En el caso del ejercicio dado, los grados en el intervalo mencionado son:

Como puedes ver, los grados en el intervalo de temperaturas registradas serían 5.

Answer:

L = 7/6 , and the correct option is B, the series diverges.

Step-by-step explanation:

Here we have that:

[tex]an = \frac{(3n + 3)*7^n}{6^{n+4}}[/tex]

Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:

[tex]a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}[/tex]

We can simplify the right part to get:

[tex]\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}= \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}[/tex]

[tex]\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}[/tex]

Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.

The first derivatives are:

For the denominator: (3*6)

For the numerator: (3*7)

Then we need to find the limit as n goes to infinity to:

[tex]\frac{3*7}{3*6} = \frac{7}{6}[/tex]

But this does not depend on the value of n, then the limit is just 6/7.

L = 7/6

And 7/6 > 1.

Then we can conclude that our series diverges.

Answer:

20 Divided By 5 = 4 or 5 x4 = 20

Step-by-step explanation:

Answer:

Step-by-step explanation:https://brainly.com/question/21290288

Answer:

6 9/14

Step-by-step explanation:

Well, we know that 9/14 is bigger than 1/2, so that means that 6 9/14 will be rounded to 7. If it is over 1/2, you round up, if 1/2 less, than it stays the same.

Answer:

(x-4)(x-5)

That is the answer, hope it helps.

Answer:

150 meters

Step-by-step explanation:

Since 1 x 30 gives the 30

5 x 30= 150

Answer:

100 times

Step-by-step explanation:

[tex]\frac{5.10^6}{5.10^4} \\=10^6.10^{-4}\\=10^{6-4}\\=10^2\\=100[/tex]

Answer:

Step-by-step explanation:

Answer:

6/10 or rounded to 3/5

Step-by-step explanation:

3/10 + 3/10 = 6/10

6/10 rounded is 3/5

Answer:

6/10

Step-by-step explanation:

Answer:

so if you multiply the top number by the ottom its always 15

Step-by-step explanation:

Answer:

The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].

Step-by-step explanation:

Let [tex]3\cdot x^{2}+x - 3 = 0[/tex], the quickest and most efficient approach to find the zeroes of this second order polynomial is by Quadratic Formula. For all [tex]a\cdot x^{2}+b\cdot x + c = 0[/tex], roots are determined by:

[tex]x_{1,2} = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] (1)

Where [tex]a[/tex], [tex]b[/tex], [tex]c[/tex] are coefficients of the polynomial.

If we know that [tex]a = 3[/tex], [tex]b = 1[/tex] and [tex]c = -3[/tex], then roots of the polynomial are, respectively:

[tex]x_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (3)\cdot (-3)}}{2\cdot (3)}[/tex]

[tex]x_{1,2} =\frac{-1\pm \sqrt{37}}{6}[/tex]

The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].

Answer:

14>10

Step-by-step explanation:

Answer: I think you have to start at 10 and go up i may be wrong but i think you get your answer that ay if I'm right

Step-by-step explanation:

Answer:

You go up ten spaces and then you get the placements of the letters

Step-by-step explanation:

Step-by-step explanation:

step 1. let's call the line in the middle y.

step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.

step 3. x^2 + y^2 =100 (pythagorean theorem))

step 4. x^2 + (sqrt(74))^2 = 100.

step 5. x^2 = 100 - 74

step 6. x^2 = 26

step 7. x = sqrt(26). note: sqrt is the square root.

The value of the x is [tex]\sqrt{26}[/tex].

To understand more, check below explanation.

Apply Pythagoras theorem in right side triangle,

            Hypotenuse[tex]=\sqrt{5^{2}+7^{2} } =\sqrt{25+49}=\sqrt{74}[/tex]

Now apply Pythagoras theorem in the left side triangle,

              [tex]Hypotenus^{2} +x^{2} =10^{2} \\\\(\sqrt{74} )^{2} +x^{2} =100\\\\x^{2} =100-74=26\\\\x=\sqrt{26}[/tex]

Hence, the value of the x is [tex]\sqrt{26}[/tex].

Learn more about the Pythagoras theorem  here:

https://brainly.com/question/21332040

Answer:

She had 40 carrots.

Step-by-step explanation:

60 - 18 = 42 -2 = 40

Answer:

D. 3

Step-by-step explanation:

For n = 1:

q = 1/3 * 1 = 1/3

r = 3 * 1/3 + 2 = 1 + 2 = 3

For n = 2:

q = 1/3 * 2 = 2/3

r = 3 * 2/3 + 2 = 2 + 2 = 4

For n = 3:

q = 1/3 * 3 = 1

r = 3 * 1 + 2 = 3 + 2 = 5

Therefore, from the values of r that we found (3, 4, 5), the minimal value is 3.

Answer:

C

Step-by-step explanation:

21/ 3 is the answer of this question

Answer:

Here is it answer

Step-by-step explanation:

4+√2/2+√2 × 2-√2/2-√2

8+2√2-4√2-2/(2)^2-(√2)^2

6-2√2/4-2

(3-√2)

therefore 3-√2

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a=3

b=2

Answer:

The mixed number is 5  2 ÷ 3

Step-by-step explanation:

The computation of the number of yards of fabric does Jacob use is shown below:

Given that there is 17 yards of fabric

And, it used one third of it

So the number of yards would be

= 17 ÷ 3

= 5 2 ÷ 3

Hence, The mixed number is 5  2 ÷ 3

Answer:

19

Step-by-step explanation:

So if you want to find out what x is then you would try to find 95% of 20 which is 19. She made 19 of her free throws.

Answer:

4 pencils

Step-by-step explanation:

3*1.45 = 4.35 ---> spent for the pens

( 10 -[ 4.35 + 2.05] ) = money spent on pencils

0.9x= 3.6

x=3.6/0.9 = 4

Answer:

[tex]=144\pi cm^{2} =452.16cm^{2}[/tex]

Step-by-step explanation:

[tex]A=\pi r^{2} =\pi 12^{2} = 144\pi cm^{2}[/tex]

Answer:

y=-1/2x+4

Step-by-step explanation:

the slope is -1/2x and y intercept is 4

(3) y= 5x+ 13

you have to do the rise (ryse - with a y because it is the y value) over the run to get your slope and then subtract your slope from 18 to get 13.

Answer:

36.5 degrees

Step-by-step explanation:

An isosceles triangle is a triangle in which two angles are equal

The sum of angles in the triangle is 180°

If one of the angles is 107°, the sum of the other two angles is (180° - 107°) 73°

The size of each of the two angles is 73/2 = 36.5°