What is the solution to the following equation x²+3x+7=0

Answer:

A.) [tex]3-3\log _{10}\left(30\right)[/tex] or -1.43136... (Decimal Form)

B.) [tex]\log _6\left(2\right)+2\log _6\left(w\right)[/tex]

Explanation: I inserted image to explain how to solve the second one, but for the first one you can't go any further except writing it in standard form or changing it into a decimal.

Your welcome :3

To multiply monomials, you multiply the coefficients and add the exponents of like variables. The product of -9n^3 and n^3 is -9n^6.

The question is about multiplying two monomials in mathematics. In this case, the two monomials are -9n^3 and n^3. To multiply monomials, you multiply the numerical coefficients and add the exponents of like variables. Here, the coefficient is -9 and the exponent 3 for the first monomial and 1 and 3 for the second monomial. When you multiply -9 by 1, you get -9. When you add the exponents 3 and 3, you get 6. So, the product of those two monomials in standard form is -9n^6.

https://brainly.com/question/35416904

#SPJ2

Answer:

11 ft by 5.5 ft

Step-by-step explanation:

The scale is 2in for 2 ft or 1in for 1ft

This means that you can just take the number in inches and change it to feet. Therefore 11 inches turns to 11 feet and 5.5 inches turns into 5.5 feet.

Answer:

55, 125 and 125

Step-by-step explanation:

In this question, we are asked to find the other 3 angles in an intersection.

Please check attachment for what the diagram of the intersection might look like.

The intersection consists simply of 4 angles meeting at a point with the 2 angles on each side vertically opposite to the angles on the other side.

since one of the angles is 55, and we are having a straight line, the other angle would be 180-55 = 125.[ sum of angles on a straight line is 180]

These two angles are vertically opposite, this means that the other three angles are 55,125 and 125.

Answer:

Nathan

Step-by-step explanation:

Because 4.76 ÷ 2.5 is 1.904

Nathan is correct about the decimal being misplaced in the quotient. The correct division of 4.76 by 2.5 should give 1.904 when rounded off to two decimal places.

In this case, Nathan is correct in stating that the decimal is misplaced in the quotient. When rounding to two decimal places, the correct calculation should be 4.76 ÷ 2.5 = 1.904, not 0.19. The decimal point division process can be simplified as follows:

Another approach would be to simply use a calculator to confirm the correct division of 4.76 by 2.5.

https://brainly.com/question/35874910

#SPJ2

Answer:

25

Step-by-step explanation:

125 in 5 hours

125/5= 25

25 in 1 hour

Final answer:

To find out how many pizzas Charlie can make in one hour, divide the total number of pizzas he can make by the total number of hours he spends making them. Charlie can make 25 pizzas in one hour.

Explanation:

To find out how many pizzas Charlie can make in one hour, we need to divide the total number of pizzas he can make (125) by the total number of hours he spends making them (5).

So, the calculation would be: 125 pizzas / 5 hours = 25 pizzas per hour

Therefore, Charlie can make 25 pizzas in one hour.

Answer:

Your're answer is 84.

Answer:

C: Linear model

Step-by-step explanation:

Answer:

The degree of freedom for the test is 27.

Step-by-step explanation:

The experiment performed by the researcher is to determine the number of time the rat touches the specific object compared to a different object.

The parameter under study is the mean number of times the rat touches the specific object.

The hypothesis for the test is defined as:

H₀: The mean number of times the rat touches the specific object is not more than that for a different object, i.e. μ ≤ μ₀.

Hₐ: The mean number of times the rat touches the specific object is more than that for a different object, i.e. μ > μ₀.

A t-test for single mean is performed.

The information provided is:

α = 0.05

t = 2.842

n = 28

The degrees of freedom for a single mean t-test is:

df = (n - 1)

   = 28 - 1

   = 27

Thus, the degree of freedom for the test is 27.

Answer:

CHALLENGE ACCEPTED!

Step-by-step explanation:

15420 + 38N + 836 = -33N - 1122

15420 + 836 + 1122 = -333N -38N

17378 = -371N

N = -46.8

u use sin and just do sin(x)=29/34 and then use inverse sin

Answer:

Step-by-step explanation:

24 i think so

Answer:

20, 40, and 120

Step-by-step explanation:

x, 2x, and 6x have one thing in common: X. X is the same number throughout so if we find x we can just finish the equation by multiplying x by its coefficient.

x+2x+6x = 180. (Sum of angle measures)

9x           = 180 (Add up the left side)

9x/9        = 180/9 (Divide both sides by 9 to cancel out the 9 and leave the x)

x              = 20

Now we know what x is so:

Angle 1 = 20. (We know x is 20, so that one is easy.)

Angle 2 = 40 (Simply 2*x or 2*20)

Angle 3 = 120 (Simply 6*x or 6*20)

Answer:

HA < CH because MHA is a right triangle and CAH is an acute triangle which means that it is smaller

Step-by-step explanation:

Answer:

HM > CH

Step-by-step explanation:

In ∆ HAM,

m<HAM=90°

and, in ∆ CHK

m<HKC= 73°

angle HAM > angle HKC

Therefore, side opposite to angle HAM > side opposite to angle HKC

Given:

∠1 = 2x+6 ans ∠2= -x+24

To find the values of ∠1 and ∠2.

Formula:

The values of the vertical angles are always equal.

Here,

∠1 and ∠2 are vertical angles.

So, by this condition,

∠1=∠2

or,[tex]2x+6 = -x+24[/tex]

or, [tex]2x+x = 24-6[/tex] [ Taking all the variables in one side and all the constant in other side]

or, [tex]3x = 18\\[/tex]

or, [tex]x = \frac{18}{3}[/tex]

or, [tex]x = 6[/tex]

So,

∠1 = [tex]2(6)+6 = 18^\circ[/tex]

∠2 =[tex]-6+24 = 18^\circ[/tex]

Hence,

The values of ∠1 and ∠2 are 18°.

Answer:

(a) 45 miles

(b) 38 miles

(c) Jada travels faster than Andre.

Step-by-step explanation:

(a) First we calculate the speed at which Jada travelled:

[tex]Speed = \frac{distance}{time} \\\\\\s = \frac{d}{t}[/tex]

[tex]s = \frac{135}{3} \\\\\\s = 45 miles/hour[/tex]

Since Jada travels at constant speed throughout the journey, we can calculate the distance traveled in 1 hour:

[tex]distance = speed * time\\\\\\distance = 45 * 1[/tex]

distance = 45 miles

Jada travels 45 miles in 1 hour.

(b) We calculate the speed at which Andre travelled:

[tex]Speed = \frac{distance}{time} \\\\\\s = \frac{d}{t}[/tex]

[tex]s = \frac{228}{6} \\\\\\s = 38 miles/hour[/tex]

Since Andre travels at constant speed throughout the journey, we can calculate the distance traveled in 1 hour:

[tex]distance = speed * time\\\\\\distance = 38 * 1[/tex]

distance = 38 miles

Andre travels 38 miles in 1 hour.

(c) Jada travels faster than Andre because he has a higher speed (45 miles/hour) than Andre ( 38 miles/hour).

Answer:

B.

Step-by-step explanation:

It just is...i got it right

Answer:

32 meals

Step-by-step explanation:

24/.75 = 32

- Please let me know if you need a further explanation

Answer:

26.25

Step-by-step explanation:

Answer: $9

Step-by-step explanation: If Wendy wants to own a total of 12 necklaces, that means Wendy wants to buy 9 more necklaces, since she already owns 3. We know that each necklace is a dollar.

So if Wendy buys 9 necklaces for a dollar each, then the total price will be $9 for Wendy to own a total of 12 necklaces.

( 9 x 1 = 9)

Wendy has 3 necklaces, and she needs a total of 12. So 12 - 3 is 9. She'll need to buy 9 more necklaces.

If each necklace cost $1, that means for 9 necklaces she will spend $9.

1 × 9 = 9

That means $9 has to be spent, in order to own 12 necklaces.

Answer:

8 and 6

Step-by-step explanation:

8 * 6 = 48

8 + 6 = 14

Answer: The probability that a randomly selected teacher will make more than $40,542 per year is 0.82

Step-by-step explanation:

Looking at the information given, the population mean and population standard deviation are known. We would apply the formula

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

From the information given,

µ = $42335

σ = 2000

x = $40542

The probability that a randomly selected teacher will make more than $40,542 per year is expressed as

P(x > 40542) = 1 - P(x ≤ 40542)

For P(x ≤ 40542),

z = (40542 - 42335)/2000 = - 0.9

Looking at the normal distribution table, the probability corresponding to the z score is 0.18

P(x > 40542) = 1 - 0.18 = 0.82

Answer:

Step-by-step explanation:

Given that A university has 28,470 students.

In a random sample of 285 students, 19 speak three or more languages.

From the given 19 out of 285 speaks three or more languages, a expected number of students would be given by

[tex]28470\times (\frac{19}{285})[/tex]

[tex]=\frac{540930}{285}[/tex]

[tex]=1898[/tex]

Answer:

  ln(2) +3ln(a) -4ln(b)

Step-by-step explanation:

  [tex]\ln{\left(\dfrac{2a^3}{b^4}\right)}=\ln{(2a^3b^{-4})}=\ln{(2)}+\ln{(a^3)}+\ln{(b^{-4})}\\\\=\boxed{\ln{(2)}+3\ln{(a)}-4\ln{(b)}}[/tex]

__

The applicable rules of logarithms are ...

  log(ab) = log(a)+log(b)

  log(a^b) = b·log(a)

Final answer:

To expand the expression In 2a³/b⁴, you apply logarithm properties to obtain In 2 + 3 In a - 4 In b, which separates the factors into individual log terms.

Explanation:

The question asks us to expand the logarithmic expression In 2a³/b⁴ using logarithm properties. The correct expansion of this expression is given by the sum of the logarithms of the numerator's factors minus the sum of the logarithms of the denominator's factors. Applying the properties of logarithms (product to sum and quotient to difference), we obtain the expansion as follows:

In 2a³/b⁴ = In 2 + In a³ - In b⁴

The logarithm of a power (such as In a³ and In b⁴) can be brought down as a coefficient:

In 2 + 3 In a - 4 In b

Thus, the correct expansion is In 2 + 3 In a - 4 In b.

Answer:

$2.52/12= $.21

the cost of one can of soda is $.21

Step-by-step explanation:

Answer:

$0.21 per can.

Step-by-step explanation:

You divide the amount of money for all 12 cans by 12.

2.52/12=0.21

Answer:

300

Step-by-step explanation:

if Elizabeth tagged 75 and observes 260 with 25 already taged yo need to add 260+75-25+310

since you need to round to nearest whole number it will be 300

I believe that is is 300

Answer:

B

Step-by-step explanation:

[tex]\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}[/tex]

The quotient in the scientific notation form will be 4.9041 × 10⁻⁹. The correct option is B.

Scientific notation can be used to indicate numbers that are either too big or too little to be conveniently stated in decimal form. It may be called scientific form.

Standard notation is the practice of writing a number using nothing but its digits. This is how numbers are usually expressed because traditional number notation does not utilize words.

Given that the two numbers are (3.683 × 10⁴) and (7.51 × 10¹²). The quotient will be calculated as:-

Quotient = (3.683 × 10⁴) ÷ (7.51 × 10¹²)

Quotient = 0.49 x 10⁻⁸

Quotient = 4.9 x 10⁻⁹

The quotient will be 4.9041 × 10⁻⁹.

To know more about scientific notations follow

brainly.com/question/106363

#SPJ6

84 of 300 is 252.

84% × 300 =

84 ÷ 100 × 300 =

84 × 300 ÷ 100 =

25200 ÷ 100 =

252