Use the quadratic formula to solve x+3x-4=0

Answer:

47.42

Step-by-step explanation:

Try solving this way

 23.85

+07.42

+16.16

=======

47.42

Answer:

About 131.95 (you may have to round up)

Step-by-step explanation:

Volume of a cone = pi(r^2)(h/3)

= pi(3^2)(14/3)

= pi(9)(4 & 4/5)

= pi(43.2)

If your teacher wants an exact number, you have to multiply 43.2 y whatever your teacher says to shorten pi to, usually 3.14. The about 131.95 is from 43.2*3.14 I think.

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

..........................

Answer:

12 weeks.

Step-by-step explanation:

On the twelfth week they will both have saved $160.

hope this helps.

As a result, based on the given condition, this dress will be sold in the boutique for $6,716.25.

In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

To determine how much this dress will sell for in the boutique, the following calculation must be made:

=(((180 x 0.25) x 40) + ((180 x 0.35) x 35) + ((180 x 0.20) x 20) + ((180 x 0.20) x 18)) x 1.25 = X

=((45 x 40) + (63 x 35) + (36 x 20) + (36 x 18)) x 1.25 = X

=(1800 + 2205 + 720 + 648) x 1.25 = X

=5373 x 1.25 = X

=6,716.25 = X

Therefore, this dress will be sold in the boutique for $6,716.25 by the given condition.

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The equation for the graph above is y = 5sin(2x/3).

In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.

Mathematically, a sine wave can be represented or modelled by this mathematical equation:

y = asin(bx)

Where:

Based on the graph of this sine wave, we have:

Amplitude, a = 5.

Periodicity, b = 2π/period = 2π/(3π) = 2/3

Therefore, the required sine wave function is given by;

y = asin(bx)

y = 5sin(2x/3)

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       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer:

x = 17

y = 8

Step-by-step explanation:

8x - 31 and 6x + 3  Are equal

8x - 31 = 6x + 3  Subtract 6x from both sides of the equation

2x - 31 = 3  Add 31 to both sides of the equation

2x = 34  Divide both sides by 2

x = 17

8x - 31 and 5y + 35 form a straight line.  A straight line has an angle measurement of 180

8x - 31 = 5y + 35  I know that x = 17 so I will substitute that in for x

8(17) - 31 + 5y +35 = 180

136 - 31 + 5y + 35 = 180  Combine like terms

140 + 5y = 180  Subtract 140 from both sides

5y = 40  Divide both sides by 65

y = 8

Answer:

Katrina ran 1 mile 3 times! I hope this helps you!

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

Option • 12 is the answer .The number of treatments in the experiment is 12.

The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.

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Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

Answer:

1000

Step-by-step explanation:

i multipled 5×200 and got the answer

Answer:

x=42

Step-by-step explanation:

step 1: multiply 3 to both sides of the equation to isolate x

then you get x=14x3=42

x=42

Answer:

X=42

Step-by-step explanation:

14 * 3= 42

14 = x/3

14= 42/3

divide

14=14

Answer:

129.6$

Step-by-step explanation:

25+95=120

8% of 120 = 9.6

120+9.6= 129.6

Answer:

129.60

total w/o tax- 120

tax- 9.60.

Answer:

The answer is 3/4

Answer:

it's 3/4

Step-by-step explanation:

.075 as a fraction is 75/1000 and 75 ÷ 1000 is 0.75 and 0.75 as a fraction is 3/4

Answer:

Decrease

Step-by-step explanation:

It gets smaller because it is 100% is full size, so less would make it smaller

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

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Answer:

-1.615 is the answer...

Step-by-step explanation:

Hope this helps....

Answer:

Step-by-step explanation:

In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.

Four(4) children each have some beads, the mean number of beads is: 8

        4 * 8 = 32

We set the number of beads Rajiv brings as:

x, so the total number of beads that the Five(5) children have is:

32  +  x

The mean number of the Five(5) children is now: 9

      5  *  9   =  45

     32 +  x    =    45

      x  +  32  =    45

           -  32  =   -32

       x            =     13

By solving the above equation, you can get:

x  =  13

       13

Hope this helps!

9514 1404 393

Answer:

  A, E

Step-by-step explanation:

Solving for y, the coefficient of x tells us the slope of the given line.

  y = (-x +50)/5

  y = (-1/5)x +10 . . . . . the given line; has a slope of -1/5

The perpendicular line will have a slope that is the opposite reciprocal of this value:

  m = -1/(-1/5) = +5

That is, you want equations for lines that have a slope of +5.

__

As above, the slope is the x-coefficient when the equation is in y = ( ) form. This fact lets us identify A as one good choice, and reject B–D as incorrect choices.

When we divide the equation of E by 5 to put it into the desired form, we have ...

  y = 5x +2.6 . . . has a slope of 5

The equations of interest are ...

Answer:

163,835

Step-by-step explanation:

Sum of the first n terms of a geometric series:

\(\boxed{S_n=\dfrac{a(1-r^n)}{1-r}}\)

where:

Given geometric sequence:

5, 10, 20, ...

To find the common ratio r, divide consecutive terms:

\(\implies r=\dfrac{a_2}{a_1}=\dfrac{10}{5}=2\)

Therefore:

To find the sum of the first 15 terms of the given geometric sequence, substitute n = 15 into the formula, along with the found values of a and r:

\(\begin{aligned}S_n & =\dfrac{a(1-r^n)}{1-r}\\\\\implies S_{15} & =\dfrac{5(1-2^{15})}{1-2}\\\\& =\dfrac{5(1-32768)}{1-2}\\\\& =\dfrac{5(-32767)}{-1}\\\\& =\dfrac{-163835}{-1}\\\\& = 163835\end{aligned}\)

Therefore, the sum of the first 15 terms for the given geometric sequence is 163,835.

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Step-by-step explanation:

It's just asking you to rewrite it in vertex form. Which would be

\((x + 10) ^{2} - 4\)

Answer:

Andrew is 27 years old, Benjamin is 25 years old and Charles is 23 years old.

Explanation:

Let's call A the age of Andrew, B the age of Benjamin, and C the age of Charles.

If Benjamin is 2 years younger than Andrew, we can write the following equation:

B = A - 2

In the same way, if Charles is 4 years younger than Andrew, we get:

C = A - 4

Finally, their ages add up 75, so:

A + B + C = 75

Now, we can replace B by (A - 2) and C by (A - 4) on the last equation:

A + (A - 2) + (A - 4) = 75

So, solving for A, we get:

A + A - 2 + A - 4 = 75

3A - 6 = 75

3A - 6 + 6 = 75 + 6

3A = 81

3A/3 = 81/3

A = 27

Therefore, Andrew is 27 years old. So, the age of Benjamin and Charles are:

B = 27 - 2 = 25

C = 27 - 4 = 23

So, Andrew is 27 years old, Benjamin is 25 years old and Charles is 23 years old.

Answer:

7 weeks

Step-by-step explanation:

cost remaining=198-114= 84

84/12=7 weeks

The annual percentage rate is 20.25%. The correct answer is option C.

To calculate the APR, you can use the formula:

APR = Total Interest x Number of Periods   x 100%

             Principal           Number of Years

In this case:

Principal = $2,650

Total Interest = $300

Number of Periods = 12 (monthly payments)

Number of Years = 1

Substituting in the values:

APR = $300   x 12   x 100%

          $2,650    1

APR = 11.3%

However, this is the nominal APR and not the annual percentage rate (APR). To find the APR, you need to take the effect of compounding into account.

APR = (1 + nominal APR / number of compounding periods per year)^ number of compounding periods per year -1 * 100%

Here, the number of compounding periods per year = 12 (monthly compounding)

APR = (1 + 11.3/12)¹² - 1 * 100%

APR = 20.25%

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Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Here's the graph using geogebra.org/graphing

Let me know if you need an explanation of how to solve this equation