help me
Simplify -4 + (-3) + 6

Answer:

C, D

Step-by-step explanation:

These are the only correct statements about liquid volume. 1L= 1,000mL

A Liter is larger than a mL, a thousand times so.

A mL is smaller than a Liter, a thousand times so.

The correct statements about liquid volume are:

1. One milliliter is 100 times smaller than one liter.

2. Milliliters are smaller units than liters.

3. One liter is 1,000 times larger than one milliliter.

1. One milliliter is 100 times smaller than one liter:

This statement is true.

Since there are 1,000 milliliters in one liter, dividing one liter by 1,000 gives us the equivalent value of one milliliter.

2.  Milliliters are a smaller unit of measure compared to liters. There are 1,000 milliliters in one liter, so any given volume in milliliters will be a fraction of the equivalent volume in liters.

3. As mentioned earlier, there are 1,000 milliliters in one liter.

Therefore, one liter is 1,000 times larger than one milliliter.

4. Liters are larger units of measure compared to milliliters.

5. As explained earlier, one milliliter is 100 times smaller than one liter.

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we have three sides, let's look at the two smaller sides first.

check the picture below, atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 6 - 6 = 0.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 0.

check the picture below, at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 6 + 6 = 12.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 12.

so, 12 is  a no dice.

Answer:

6

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

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The given expression 656 + (-615) when simplified its value will be equal to 41.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

When two whole numbers are added together, the total quantity or sum of those values is obtained.

The given expression of addition can be simplified as shown.

656 + (-615)

= 656 - 615

= 41

Hence, the given expression 656 + (-615) when simplified its value will be equal to 41.

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The simplified expression for the volume is 8x³ - 2x² - 3x. The answer is option C.

The length of the rectangular prism be x units. The width of the rectangular prism is given by the expression 2x + 1 units. The height of the rectangular prism is given by the expression 4x - 3 units. The volume of a rectangular prism is given by the formula V = lwh. Therefore the volume of the rectangular prism can be expressed as;V = x(2x + 1)(4x - 3)We can simplify this expression by using algebraic factorization. Hence;V = x(2x + 1)(4x - 3)V = x(8x² - 6x + 4x - 3)V = x(8x² - 2x - 3)V = 8x³ - 2x² - 3xHence, the simplified expression for the volume is 8x³ - 2x² - 3x. The answer is option C.

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The simplified expression is D) 8x3 + 14x2 + 3x.

Edge 2023

Answer:

Explanation:

if three dice (each having 6 faces) are rolled, the total number of possible outcomes is:

Answer:

C

Explanation:

Answer:

Nope

Step-by-step explanation:

According to the Triangle Inequality Theorem, any 2 sides of the triangle must always be more than the third. Here, we can see that the theorem is violated because 11 + 11 < 25. Therefore, it is not a legitimate Triangle.

Therefore ,In other words  the solution of the given problem of fraction is even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway)

A fractional or ratio element is a portion of the whole. The numerator a denotes the number of parts that are included, and the denominator b denotes the number of pieces of equal size into which the whole has been divided. The least common multiple (LCD) of two fraction denominators is called the LCM of those denominators.

Here,

21/3 = 7    21/6 = 3.5

18/3 = 6   18/6 = 3

24/3 = 8   24/6 = 4

12/3 = 4     12/6 = 2

Each can be split to get an integer, with the exception of:

21/6 = 3.5

Therefore ,In other words, even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway).

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A number between 61 and 107 that is a multiple of 4, 9, and 12 is 72.

To find a number between 61 and 107 that is a multiple of 4, 9, and 12, we need to find the smallest common multiple of these three numbers within this range.

First, we need to find the LCM of 4, 9, and 12.

The prime factorization of 4 is 2 x 2.

The prime factorization of 9 is 3 x 3.

The prime factorization of 12 is 2 x 2 x 3.

Taking the highest power of each prime factor, we get:

LCM(4, 9, 12) = 2² x 3² = 36.

Next, we need to find the smallest multiple of 36 within the given range.

61 ÷ 36 = 1 with a remainder of 25

107 ÷ 36 = 2 with a remainder of 35

Thus, the multiples of 36 within the range are 36, 72, and 108, and the smallest multiple between 61 and 107 is 72.

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Complete question is:

What is a number between 61 and 107 that is a multiple of 4, 9, and 12

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

To interpret the magnitude of the coefficient in a regression analysis, we need to consider its sign and size.

The magnitude of the coefficient indicates the degree of change in the dependent variable for a one-unit change in the independent variable. A larger coefficient means a greater change in the dependent variable, indicating a stronger relationship between the two variables. The magnitude of the regression coefficient can be compared to the units of the independent and dependent variables to gain a better understanding of the practical significance of the relationship.

To test the statistical significance of the coefficient at a specific significance level , we would need to conduct a hypothesis test. The null hypothesis would be that the true slope of the population line is zero , and the alternative hypothesis would be that the true slope is not zero. We would then use the t-test statistic to calculate the p-value and compare it to the chosen level of significance (e.g., 0.05 or 0.01). If the p-value is less than the chosen level of significance, we would reject the null hypothesis and conclude that there is evidence of a statistically significant linear relationship between weight and height.

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Answer: 212998.58

Step-by-step explanation:

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if the price increases 6% every year for 7 years you would have to multiply 7 by 6 which is 42 so you have to add 42% to 149,999 which is 212998.58.

Answer:

$212998.58

How I Found The Answer:

6% Would Be $8999.94

$8999.94 × 7 = $62999.58

$149999 + $62999.58 = $212998.58

Answer:

9

Step-by-step explanation:

mx - y (m = 2, x = 7, y = 5)

(2*7) - 5

= 14 - 5

= 9

To obtain the general solution of the given differential equation, we can solve it using the method of integrating factors.

y = (72e^(x²/2) + C) / (x² * e^(x²/2))

The given differential equation is:

x²y + xy - y = 72x³

We can rearrange the equation to the standard linear form:

x²y + xy - y - 72x³ = 0

Now, let's determine the integrating factor, denoted by μ(x):

μ(x) = e^(∫P(x)dx)

= e^(∫x dx)

= e^(x²/2)

Multiplying the entire equation by μ(x):

e^(x²/2) * (x²y + xy - y - 72x³) = 0

Simplifying the equation:

x²y * e^(x²/2) + xy * e^(x²/2) - y * e^(x²/2) - 72x³ * e^(x²/2) = 0

Now, we can rewrite the left-hand side as a derivative using the product rule:

(d/dx)(x²y * e^(x²/2)) - 72x³ * e^(x²/2) = 0

Integrating both sides with respect to x:

∫(d/dx)(x²y * e^(x²/2)) dx - ∫72x³ * e^(x²/2) dx = C

Using the fundamental theorem of calculus, the first term simplifies to:

x²y * e^(x²/2) = ∫72x³ * e^(x²/2) dx + C

Integrating the second term on the right-hand side:

x²y * e^(x²/2) = 72∫x³ * e^(x²/2) dx + C

Now, we can solve the integral on the right-hand side by substituting u = x²/2:

x²y * e^(x²/2) = 72∫e^u du + C

Integrating e^u with respect to u:

x²y * e^(x²/2) = 72e^u + C

Substituting back u = x²/2:

x²y * e^(x²/2) = 72e^(x²/2) + C

Finally, solving for y:

y = (72e^(x²/2) + C) / (x² * e^(x²/2))

To determine the particular solution that satisfies the initial conditions

y(1) = 1 and y'(1) = 1, we substitute these values into the general solution and solve for C.

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Answer:

58

Step-by-step explanation:

Answer:

150 plates

Step-by-step explanation:

if 1 stack = 10 plates then

15 stacks =?

15×10 =150

Answer:

150

Step-by-step explanation:

If 1 stack = 10 plates all you have to do is figure out how 1 changes to 15 ( in this case multiply). You tyen multiply 10 by 15 which equals to 150.

Answer:B

Step-by-step explanation:

Answer:

The real correct answer is C

Step-by-step explanation:

Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.

1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.

2. Calculate side BC using the Law of Cosines:

BC = (2(AB)(AC)cosB) + (AB)(AC)2

3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)

4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)

5. Determine BC =. (2095 - 1539.07)

6. Condense: BC = 556.93

7. Determine BC as 23.701 cm.

8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.

By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.

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The solutions to 3x-4 ≡ 0 (mod 25) and (mod 125) using the prime power congruence are:

To find solutions to 3x-4 ≡ 0 (mod 25) and (mod 125) using the prime power congruence starting with modulus five, we can solve the following equations:

3x-4 ≡ 0 (mod 5)

3x - 4 ≡ 0 (mod 25)

3x - 4 ≡ 0 (mod 125)

For the first equation, 3x-4 ≡ 0 (mod 5), we solve this using the modulus five as 5 is prime:

3x - 4 ≡ 0 (mod 5)

3x ≡ 4 (mod 5)

x ≡ 4/3 (mod 5)

x ≡ 2 (mod 5)

For the second equation, 3x - 4 ≡ 0 (mod 25), we can use the result from the first equation (x ≡ 2 (mod 5)) to solve this equation:

3x - 4 ≡ 0 (mod 25)

3(2 + 5k) - 4 ≡ 0 (mod 25)

6 + 15k - 4 ≡ 0 (mod 25)

15k ≡ 2 (mod 25)

k ≡ 2/15 (mod 25)

k ≡ 17 (mod 25)

For the third equation, 3x - 4 ≡ 0 (mod 125), we can use the result from the second equation (k ≡ 17 (mod 25)) to solve this equation:

3x - 4 ≡ 0 (mod 125)

3(2 + 25(17) + 5j) - 4 ≡ 0 (mod 125)

6 + 425 + 15j - 4 ≡ 0 (mod 125)

15j ≡ 15 (mod 125)

j ≡ 1 (mod 125)

Therefore, the solutions to 3x-4 ≡ 0 (mod 25) and (mod 125) using the prime power congruence starting with modulus five are:

x ≡ 2 (mod 5)

k ≡ 17 (mod 25)

j ≡ 1 (mod 125)

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Answer:

     -4 / 3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -0)/( -2 - -5)

     ( -4 -0)/( -2 +5)

     -4 / 3

Answer:

\(m=\frac{-4}{3}\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Y (-5, 0)

Z (-2, -4)

Step 2: Find slope m

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer:

9000

Step-by-step explanation:

To check this you can do 1/10 * 9000 which is 900.

Answer:

9000

Step-by-step explanation:

just do like below

\(x \times \frac{1}{10} = 900 \\ x = 900 \times 10 = 9000\)

The given equation is:

The equation will have distinct roots if:

Solve for zero to get:

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

You must attach the cube-shaped raiz to the number 25, which you must do.

25 student lists You get a total of 625 students from columns of 25 students.

625 students are under the instruction of professor Fajardo, who wants to divide them into four groups.

How do I arrange them so that every row and column has the same number of students?

The area of a Cuadrado is side by side.

625=lado^2

lado =√625

lado=25

There should be 25 students in each line and column.

25x25=625

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The full question:

How can professor Hernandez organize the 625 students he has at his disposal into a square so that each row and column contain the same number of students?