f(x)=4x^2-x-3, find x when f(x)= -3

Answer:

"$2975" is the correct solution.

Step-by-step explanation:

Given:

Principle,

P = $7000

Time,

T = 5 years

Interest rate,

R = 8.5

Now,

The interest will be:

= \(\frac{PTR}{100}\)

= \(\frac{7000\times 5\times 8.5}{100}\)

= \(\frac{297500}{100}\)

= \(2975\) ($)  

Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

Answer:

The 95% confidence intervals is (0.109, 0.125).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Out of a sample of 6,458, a total of 754 reported that they have experienced physical bullying.

This means that \(n = 6458, \pi = \frac{754}{6458} = 0.1168\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1168 - 1.96\sqrt{\frac{0.1168*0.8832}{6458}} = 0.109\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1168 + 1.96\sqrt{\frac{0.1168*0.8832}{6458}} = 0.125\)

The 95% confidence intervals is (0.109, 0.125).

The probability of rolling a specific number is 1/6 or approximately 0.1667.

When rolling a fair number cube with faces numbered 1 through 6, each face has an equal chance of landing face-up. This means the probability of rolling any specific number is 1 out of the total number of faces, which is 6. Therefore, the probability of rolling a specific number is 1/6 or approximately 0.1667.

The dot on the number line represents the probability of an event occurring when rolling the number cube. To determine what this event could be, consider the possible outcomes when rolling the cube and compare their probabilities to the dot's position on the number line.

For example, if the dot is located at 1/6 on the number line, this could represent the probability of rolling a single specific number, such as rolling a 3. If the dot is located at 1/2 or 0.5, it could represent the probability of rolling an even number (2, 4, or 6) since there are three even numbers out of the six total faces, making the probability 3/6 or 1/2.

In summary, the dot on the number line represents the probability of an event occurring when rolling a fair number cube. To identify the event, compare the dot's position on the number line with the probabilities of different outcomes resulting from rolling the cube.

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Answer:

m=\frac{1}{4}  D. 12y-94 + 8y = 218

Step-by-step explanation:

Answer:

Answer= A

Step-by-step explanation:

equation (1) x=4y-94

equation (2) 3x+8y=218

step 1: for substitution method sub x in the second equation.

3(4y-94)+8y=218

step2: take rid of the bracket by multiplying it by 3.

12y-282+8y=218

(this is the initial expanding result which is answer A)

132 divided by 12 is equal to 11 with a remainder of 2.

To perform the division, you can use long division:

Step 1: Set up the division equation:

      _______

12 | 132

Step 2: Identify how many times 12 can fit into the first digit of 132 (1). Write the quotient (result) above the line:

      11

      _______

12 | 132

Step 3: Multiply the divisor (12) by the quotient (11) and write the result below the first part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

Step 4: Subtract the result from step 3 from the first part of the dividend (132 - 12 = 120). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

Step 5: Bring down the next digit of the dividend (in this case, the digit "3") and put it next to the remainder (120):

      11

      _______

12 | 132

     -  12

      _______

        120

         3

Step 6: Determine how many times 12 can fit into 120. The answer is 10. Write the new quotient digit (10) above the digit "3":

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

Step 7: Multiply the divisor (12) by the new quotient digit (10) and write the result below the second part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

Step 8: Subtract the result from step 7 from the second part of the dividend (110 - 108 = 2). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

          2

Step 9: There are no more digits to bring down from the dividend, and the remainder is less than the divisor. The division process is complete.

The final result is the quotient (11) with a remainder of 2. So, 132 divided by 12 is 11 with a remainder of 2.

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Answer:

Semicircle = 353.25 cm²

Step-by-step explanation:

Area of semicircle = πr²/2

substitute the values

semi circle = 3.14 × 15 × 15 / 2

Area of semicircle = 353.25 cm²

Answer:

B) 11

Step-by-step explanation:

The interquartile range (IQR) is defined as IQR = Q3 - Q1 where Q3 represents the upper quartile and Q1 represents the lower quartile.

In a box-and-whisker plot, Q1 is the leftmost edge of the box, so Q1=38. Q3 is the rightmost edge of the box, so Q3=49

Therefore, the interquartile range is IQR = Q3 - Q1 = 49 - 38 = 11

Answer:

11

Step-by-step explanation:

Answer:

no it does not

Step-by-step explanation:

Answer: no it doesn't

Step-by-step explanation:

The reason for this is that even when the process does shift, the sample means from the shifted process may still fall within these wide UCL and LCL limits.

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Answer:

x = 15

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side , then

x + 3 = \(\frac{1}{2}\) × 36 = 18 ( subtract 3 from both sides )

x = 15

Answer:

a) The 95% confidence interval for the mean amount of time Americans age 15 or older spend eating and drinking each day is (1.49, 1.57).

d) The nutritionist is 95% confident that the mean amount of time spent eating or drinking per day for any individual is between 1.49 and 1.57 hours.

(c and b can not be concluded from the confidence interval)

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=1.53.

The sample size is N=1082.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.71}{\sqrt{1082}}=\dfrac{0.71}{32.89}=0.022\)

The degrees of freedom for this sample size are:

\(df=n-1=1082-1=1081\)

The t-value for a 95% confidence interval and 1081 degrees of freedom is t=1.962.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_M=1.962 \cdot 0.022=0.042\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 1.53-0.042=1.49\\\\UL=M+t \cdot s_M = 1.53+0.042=1.57\)\(LL=M-t \cdot s_M = 1.53-0.042=1.49\\\\UL=M+t \cdot s_M = 1.53+0.042=1.57\)

The 95% confidence interval for the mean is (1.49, 1.57).

Answer:

P(X) = (x - 2) (x + 3) (x + 6)

Step-by-step explanation:

We are given the polynomial as;

p(x) = x³ + 7x² - 36

We are told that a known factor is (x + 3),thus, using long division method, i have attached the steps used to get the other factor which is x² + 4x - 12

Now, using quadratic formula, we can further simplify x² + 4x - 12 to get factors of (x - 2) and (x + 6)

Hence, the new mathcal P (X) as a product of linear factors is;

P(X) = (x - 2) (x + 3) (x + 6)

Answer: 8

Because 8 - 11 = -3

Hope it helps.

Answer:

add a positive 8

Step-by-step explanation:

if you add a positive 8 so you will minus by 8 and you get -3 cause negative -11 is bigger then positive +8

An example of a typical cost that is not associated with renting include the following: C. property tax.

In Economics, there are different types of tax that are being levied on individuals or business organizations by the government, and these include the following:

Generally speaking, property taxes are typically determined with respect to the monetary value of a property in real estate. This ultimately implies that, property taxes are typically determined based on the monetary value that is associated with a property.

In conclusion, last month's rent, security deposit, and pet deposit are examples of cost that are associated with renting.

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The length of median CP is 48.

A triangle is a closed geometric figure that is formed by connecting three straight line segments called sides. These sides meet at three points called vertices. Triangles are one of the simplest and most fundamental shapes in geometry and can be found in many natural and man-made objects.

Triangles can be classified into different types based on their sides and angles.

By sides:

Equilateral triangle: all three sides are equal in length.

Isosceles triangle: two sides are equal in length.

Scalene triangle: all three sides are different in length.

By angles:

Acute triangle: all three angles are acute (less than 90 degrees).

Right triangle: one angle is a right angle (exactly 90 degrees).

Obtuse triangle: one angle is an obtuse angle (greater than 90 degrees).

Triangles have many properties and are used in various fields such as architecture, engineering, physics, and mathematics. They are also commonly used in trigonometry to solve problems involving angles and distances.

Since the triangles are congruent, corresponding sides are equal. So, we have:

AB = DE (corresponding sides)

BC = EF (corresponding sides)

Now, we can use the formula for the length of a median of a triangle, which states that the median to a side of a triangle is half the length of the side that it intersects. Thus, we have:

CP = (1/2) AB

FQ = (1/2) DE

Substituting the values we have for AB and DE, we get:

CP = (1/2) AB = (1/2) DE = FQ

So, we can equate the expressions for CP and FQ, and solve for x:

3x - 12 = 2x + 8

x = 20

Now that we know the value of x, we can substitute it back into either expression for CP or FQ to find the length of CP:

CP = 3x - 12 = 3(20) - 12 = 48

Therefore, the length of median CP is 48.

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Answer: The probability that: None will be defective = 0.8836

Step-by-step explanation:

Let x be the number of defectives watch.

As per given: p= 6%= 0.06 (probability of defective)

Sample size : n= 2

Binomial probability distribution formula : \(P(X=x)=^nC_xp^x(1-p)^{n-x}\)

P(No defective)=P(X=0)

\(^{2}C_0(0.06)^0(1-0.06)^{2} =(1)(0.94)^2=0.8836\)

Hence, The probability that: None will be defective = 0.8836

Answer:

  28

Step-by-step explanation:

You want to know what 20% of 140 is.

The % symbol can be considered to mean "/100". This means ...

  20% = 20/100

and 20% of 140 is ...

  20% × 140 = 20/100 × 140 = 2800/100 = 28

There are 28 students in the Environmental Club.

__

Additional comment

You know that 10% is 1/10. This fraction can of 140 can be found by moving the decimal point one place left:

  10% of 140. = 14.0

Of course, 20% is twice as much, so ...

  20% of 140 = 2 × (10% of 140) = 2 × 14 = 28

In this context, "of" means "times": 20% of 140 means 20% × 140.

<95141404393>

Answer:

(0,5)

Step-by-step explanation:

Since the ratio is 1/3 and the difference between the two is 6 and 3, x would be 0 and y would be 5.

The coordinates of the point \(B\) on the line \(AC\), such that \(AB:AC = 1:3\) are \((-5 \frac{5}{4})\).

The coordinates of a point \((x,y)\) that divides a line externally with end point points \((x_1, y_1)\) and \((x_2, y_2)\) in a ratio \(m:n\) are:

\(x=\frac{m x_2 - n x_1}{m-n}\) and \(y=\frac{m y_2 - n y_1}{m-n}\)

This is also known as section formula.

Here, \(A(-2,4)\) and \(C(4,7)\).

A point \(B\) is on the line \(AC\) such that \(AB:AC=1:3\).

So, \(x_1=-2, y_1=4, x_2=4, y_2=7, m=1\) and \(n=3\).

Coordinates of \(B\) are:

\(x=\frac{m x_2 - n x_1}{m-n}\) and \(y=\frac{m y_2 - n y_1}{m-n}\)

\(x=\frac{1 \times 4 - 3 \times -2}{1-3}\) and \(y=\frac{1 \times 7 - 3 \times 4}{1-3}\)

\(x=\frac{4 + 6}{-2}\) and \(y=\frac{7 - 12}{-2}\)

\(x=\frac{10}{-2}\) and \(y=\frac{-5}{-2}\)

\(x=-5\) and \(y=\frac{5}{2}\).

So, coordinates of \(B\) are \((-5, \frac{5}{2})\).

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Answer:

it's 136.69

Step-by-step explanation:

divide 4 by 3 to get 1

divide 11 by 3 to get 3

divide 20 by 3 to get 6

divide 27 by 3 to get 9

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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Answer:

OPTION B SHOULD BE CORRECT

Answer:

  (c)  He will pay $554

Step-by-step explanation:

You want to know whether David will receive a refund or pay additional tax on his taxable income of $36,480 when he files as "married filing jointly" after he as paid $4047.

David's tax is found on the line of the table that begins 36,450 36,500. In the column titled "Married filing jointly" the tax listed on that line is 4,601.

The amount due is found from ...

  amount paid + amount due = tax

  4047 + amount due = 4601

  amount due = 4601 -4047 = 554

He will pay $554, choice C.

<95141404393>

The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

Answer:   26

Step-by-step explanation:

5×6 - 8 ÷2​

= 30 - 8 ÷2​

= 30 - 4

= 26​

Answer:

26

Step-by-step explanation:

so we start off with 5x6 from PEMDAS so 5x6 = 30

then we have 8 divided by 2 = 4

30-4 = 26

Answer:

a + (a + 6b)

2a + 6b

(a + 3b)2

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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Answer: for number six its y=2x-2