Monica wants to open a savings account with a deposit of 3,000 monica will not make

Answer: -4

Step-by-step explanation:

1. Add x on both sides

-8-x=x-4x → -8=2x-4x

2. Combine like terms

-8=2x-4x → -8=-2x

3. Divide negative 2 from both sides

-8=2x → -4=x

Answer:

5 units.

Step-by-step explanation:

Formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Calculations:

\(d=\sqrt{(2-(-1))^2+(-4-0)^2}\\d=\sqrt{(3)^2+(-4)^2}\\d=\sqrt{9+16}\\d=\sqrt{25}\\d=5\)

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

3

8

​

x−13

Step-by-step explanation:

Pasos de la solución

2/3x−1+2(x−6)

Usa la propiedad distributiva para multiplicar 2 por x−6.

3

2

​

x−1+2x−12

Combina  

3

2

​

x y 2x para obtener  

3

8

​

x.

3

8

​

x−1−12

Resta 12 de −1 para obtener −13.

3

8

​

x−13

Answer:

23

Step-by-step explanation:

2x-7=39

2x=46

x=23

A pilot is flying over the ocean. She determines the angles of depression to the two ships are 49 and 68 as shown. The plane is 4 miles from A. The ships are 3.8 miles apart from each other.

In ΔABC,

There are two ships at point A and B in the ocean(a flat water level).

A pilot is flying at point C over the ocean.

Angle of depression from C to A = 49°

Angle of depression from C to B = 68°

Since, DE || AB

Hence because of alternate interior angles are equal.

Therefore, ∠DCA = ∠BAC = 49°, and

∠ECB = ∠ABC = 68°

Now in ΔABC, sum of three inside angles in a triangle is 180°.

Hence, ∠A + ∠B + ∠C = 180°

49° + 68° + ∠C = 180°

∠C = 180° - 49° - 68° = 63°

Now, in ΔABC ∠A = 49°, ∠B = 68°, ∠C = 63°

Distance of A to C = AC = b = 4

By using sine rule, \(\frac{a}{SinA} = \frac{b}{SinB} =\frac{c}{SinC}\)

\(\frac{a}{Sin49\textdegree} = \frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{0.9271} =\frac{c}{0.891}\)

⇒ c x 0.9271 = 0.891 x 4

⇒ c x 0.9271 = 3.564

⇒ c = \(\frac{3.564}{0.9271}\)

⇒ c = 3.8442

Rounding off to the nearest tenth of a mile,

c = 3.8

Therefore, distance between two ships = AB = c = 3.8 miles

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Answer:

4/6

Step-by-step explanation:

A die can roll out six numbers from 1 to 6.

Prime numbers from 1 to 6 are: 1,2,3,5

4 out of 6 are prime

The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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Answer:

Multiples that are shared by two or more numbers are common multiples.

Step-by-step explanation:

A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are referred to as the common multiples of those numbers.

I hope this helps! ^-^

Answer:

6.2

Step-by-step explanation:

every minute 6.2 gallons fill into the pool.

Answer:

Plant cells have a plasma membrane, chloroplasts, plasmodesmata, and plastids used for storage, and an oversized central bodily cavity, whereas animal cells don't.

Answer:

Step-by-step explanation:

Given the population of insects in t months after being transported to be p(t)=50(1+0.05t)/2+0.01t., to get the insect population as time progresses, we will substitute t = infinity into the equation

p(infty) = 50(1+0.05(infty))/2+0.01(infty)

P(infty) = 50(1+infty)/infty

P(infty) = infty/infty (Ind)

Apply l'hopital rule

P'(t) = 50(0.05)+0/0.01

P'(t) = 2.5/0.01

P'(t) = 250

Hence the limiting factor on the insect population as time progresses is 250 populations

The factors that affect the population of the rare species of the mosquito are what are referred to as the limiting factors.

There are several limiting factors that affect population growth of the mosquitoes; some of them are:

As time progresses, the amount of mosquitoes may or may not increase.

This in other words means that, a limiting factor is anything that slows down or stops the population size of the mosquitoes

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Answer:

$3498.11 at the end of 10 years.

Step-by-step explanation:

2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.

Answer:

aaaaha pues

Step-by-step explanation:

Answer:

what happened

Step-by-step explanation:

The value of the side length x is equal to 14 using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin45 = 7√2/x {opposite/hypotenuse}

√2/2 = 7√2/x {sin45 = √2/2}

x = 7√2 × 2/√2 {cross multiplication}

x = 7 × 2

x = 14

Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.

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The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

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Answer:

Four hundred thirdy seven and six hundred and eight thousandths.

437.068

Step-by-step explanation:

Hope it helps! =D

The number formed by these terms is 437.068.

To solve this problem, we first need to understand the place value system and what each term represents.

As per the place value system used in decimals:

- Hundreds: It is the third digit to the left of the decimal point and each unit represents 100.
- Tens: It is the second digit to the left of the decimal point and each unit represents 10.
- Ones: It is right next to the decimal point, all the digits to the left of it are the ones. Each unit represents 1.
- Hundredths: It is the second digit to the right of the decimal point and each unit represents 0.01.
- Thousandths: It is the third digit to the right of the decimal point and each unit represents 0.001.

In the given context, we know that there are 4 hundreds, 3 tens, 7 ones, 6 hundredths, and 8 thousandths.

To start, we calculate each term separately:

- 4 hundreds = 4 x 100 = 400
- 3 tens = 3 x 10 = 30
- 7 ones = 7 x 1 = 7
- 6 hundredths = 6 x 0.01 = 0.06
- 8 thousandths = 8 x 0.001 = 0.008

After evaluating each term separately, we sum them up together for the final answer:

- Sum = 400 + 30 + 7 + 0.06 + 0.008 = 437.068

Hence, the number formed by these terms is 437.068.

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Relations on the set (1,2,3,4), decide whether it is reflexive, whether it is symmetric, whether it is anti symmetric, and whether it is transitive.

Given :

a )

=  { ( 2, 2 ),( 2, 3 ),( 2, 4 ),( 3, 2 ),( 3, 3 ) ,( 3, 4 ) }

Not reflexive because we do not have (1, 1), (3, 3), and (4, 4).

Not symmetric because while we we have (3, 4), we do not have (4, 3).

Not anti symmetric because we have both (2, 3) and (3, 2).

Transitive because if we have (a, b) in this relation, then a will be either 2 or 3. Then (2, c)

b )

{(1, 1),(1, 2),(2, 1),(2, 2),(3, 3),(4, 4)}

Reflexive because (a, a) is in the relation for all a = 1, 2, 3, 4.

Symmetric because for every (a, b), we have a (b, a).

Not antisymmetric because we have (1, 2) and (2, 1).

Transitive because while we have (1, 2) and (2, 1), we also have (1, 1) and (2, 2) in the relation.

c )

{(2, 4),(4, 2)}

Not reflexive because we do not have (a, a) for all a = 1, 2, 3, 4.

Symmetric because for every (a, b), we have a (b, a).

Not antisymmetric because we have both (2, 4) and (4, 2).

Not transitive because we are missing (2, 2) and (4, 4)

d )

{(1, 2),(2, 3),(3, 4)}

Not reflexive because we do not have (a, a) for all a = 1, 2, 3, 4.

Not symmetric because we do not have (2, 1),(3, 2), and (4, 3).

Antisymmetric because for every (a, b), we do not have a (b, a).

Not transitive because we do not have (1, 3) for (1, 2) and (2, 3)

e )

{(1, 1),(2, 2),(3, 3),(4, 4)}

Reflexive because we have (a, a) for every a = 1, 2, 3, 4.

Symmetric because we do not have a case where (a, b) and a 6= b.

Antisymmetric because we do not have a case where (a, b) and a 6= b.

Transitive because we can satisfy (a, b) and (b, c) when a = b = c.

f )

{(1, 3),(1, 4),(2, 3),(2, 4),(3, 1),(3, 4)}

Not reflexive because we do not have (a, a) for all a = 1, 2, 3, 4.

Not symmetric because the relation does not contain (4, 1), (3, 2), (4, 2), and (4, 3).

Not antisymmetric because we have (1, 3) and (3, 1).

Not transitive because we do not have (2, 1) for (2, 3) and (3, 1).

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Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans

A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.

Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.

If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:

(4/9) x 2,100 = 933.33

We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.

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The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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The complete question:

Which inequality's solution is graphed here?

A) x + 8 < 5

B) x - 5 < 8

C) x + 5 < 8

D) x - 8 < 5

The given graph represents on the number line is represented by inequality  x - 5 < 8. So option B is correct.

Real numbers are represented by a straight line known as a number line. The distance between the dots on the line, which correlates to the magnitude of the numbers, is how the numbers are typically represented. Positive or negative numerals can be used, and they are normally marked at regular intervals.

Given that,

A graph,

which has values less than 13,

In form of inequality it can be written as,

x < 13

And inequality x - 5 < 8,

can be written as  x < 13

Hence, the option b is correct inequality.

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Answer:

0.47864506627

Step-by-step explanation:

Answer:

just add em

Step-by-step explanation:

Answer:

3x^2 -1 =0

a = 3 c = -1 and b = 0

Using the quadratic formula:

x = [-b +- sqr root (b^2 - 4ac)] / 2a

x = [-0 +- sqr root (0^2 - 4*3 *-1] / -2 * 3

x = +- sqr root (12) / -6

x = +2 * sqr root (3)  /-6

x1 = + sqr root (3)  / -3

x2 = -sqr root (3) / -3

Step-by-step explanation:

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

A’ is (3,-3)

B’ is (-1,-4)

C’ is (-1,2)

D’ is (3,1)

Step-by-step explanation: i forgot how i did this but i did it last week in math or somthing sorry if its wrong it was right for me