solve 4x² - 3x - 2 = 0
give your solutions to 3 significant figures

Answer:

the common denominator is cz

Step-by-step explanation:

Answer:

If angle 2 = 110 then angle 4 = 110

360 = 110 + 110 + x

Angle 1 + Angle 3 = 140

Since vertical angles are equal, then Angle 1 = 140 / 2 = 70 degrees

Step-by-step explanation:

Step-by-step explanation:

∠3+∠4= 180°

Since ∠2 ≅ ∠ 4 and  ∠2= 110°

∠3= 180° - ∠4= 180° - ∠2= 180° - 110°= 70°

So proved

Answer:its 5

Step-by-step explanation: cuz

Answer:

A)

The simplest way to solve A is by checking 1st digit one-by-one.

selecting 1 as 1st digit, we have 2 ways

1324 and 1423

selecting 2 as 1st digit, we have 3 ways

2143, 2314, and 2413

selecting 3 as 1st digit, we have 3 ways

3142, 3241, and 3412

selecting 4 as 1st digit, we have 2 ways

4132 and 4231

=> 2 +3 + 3 + 2 = 10 ways in total.

B)

Use the same strategy as A)

selecting 1st digit that is greater than 6, there are 3 digits: {9, 8, 7}

selecting 9 as 1st digit => 967, 968

selecting 8 as 1st digit => 867, 869

selecting 7 as 1st digit => 768, 769

=> 3 x 2 = 6 ways

selecting 1st digit that is smaller than 6, there are 5 digits: {5, 4, 3, 2, 1}

selecting 5 as 1st digit => 565, 564, 563, 562, 561, 560

similarly, selecting 4, 3, 2, 1, there are 6 ways to select that last digit

=> 5 x 6 = 30 ways

=> 30 + 6 = 36 ways in total

C)

a 7-digit snakelike number starts with digit 9 (the largest digit)

=> 2nd digit is smaller than 9

=> 3rd digit is larger than 2nd digit

=> 4th digit is smaller than 3rd digit

=> 5th digit is larger than 4th digit

=> 6th digit is smaller than 5th digit

=> 7th digit is larger than 6th digit (this is impossible because 0 is smallest digit)

Answer:

-5x - 8

Step-by-step explanation:

3x + 7 - 8x - 15​

Combine like terms.

3x and -8x are like terms.

7 and -15 are like terms.

3x + 7 - 8x - 15​ =

= -5x - 8

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Answer:

1,890

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

you have to find the mean of the equation

The statement is false because in exponential growth, the time required to increase by a factor of 10 actually increases as the quantity gets larger.

We have,

In exponential growth, the rate of increase becomes progressively faster as the quantity grows.

This means that the time it takes to increase by a factor of 10 will also increase. For example, if it takes 1 year to increase from 1 to 10, it may take 2 years to increase from 10 to 100, and 3 years to increase from 100 to 1000.

The time required to achieve a factor of 10 increase will depend on the specific growth rate and initial quantity.

Therefore,

The time required to increase by a factor of 10 does not remain constant for all time in exponential growth. It increases as the quantity grows larger.

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The “yearly tuition costs” as an independent variable which should be plotted on X-axis and “mid-career salary” as a dependent variable on Y-axis. The scatterplot is made of them.

Based on the table provided, it is possible to observe that there is not necessarily a clear relationship between the cost of tuition and mid-career salary.

While some of the colleges with higher tuition costs (such as MIT and Stanford) have high mid-career salaries, others (such as Harvey Mudd and Caltech) also have high mid-career salaries despite lower tuition costs. Additionally, some colleges with low or zero tuition costs (such as the US Naval Academy and West Point) also have high mid-career salaries.

Therefore, it is not safe to assume that a higher cost of tuition will necessarily translate into higher-paying jobs. The scatter plot of yearly tuition costs and mid-career salary is made.

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Answer:

6

Explanation:

To know the median, we first need to organize the data from least to greatest, so:

5 6 6 6 7 9 9

Then, the median will be the value that is in the middle, so:

5 6 6 6 7 9 9

Therefore, the median is 6 because there are 3 values to the left of 6 and 3 values to the right of 6.

Answer:

Step-by-step explanation:

1-1=0

Answer:You will have 0 moms.

Step-by-step explanation:

First you take 1 away from 1.

After that you get your answer of 0.

The equation y = (4/5)x - 3 is in slope-intercept form, y = mx + b, where m is the slope of the line. Therefore, the slope of the line represented by the equation is:

m = 4/5

So the answer is C) 4/5.

Answer:

5 for both.

Step-by-step explanation:

Multiplying exponents rule with like bases;

Add powers with like bases.

So, if we look at x to the power of the blank multiplied by x to the power of 5, we know that 5 added to that unknown/blank power would equal in 10(using the multiplication of exponents rule), because in the results it says x^10.

Thus,

x to the power of __       ·       x to the power of 5 = x to the power of 10

And, 5 would make a solution for the blank, because;

x to the power of 5      ·       x to the power of 5 = x to the power of 10, which is true because their exponents added together would be 10 → (5 + 5).

Now, if we look at y to the power of 3 multiplied by y to the power of the blank, we know that 3 added to the unknown/blank power would equal in 8(using the multiplication of exponents rule) because in the results says y^8.

Thus,

y to the power of 3       ·       y to the power of __ = y to the power of 8

And, 5 would make a solution for the blank, because;

y to the power of 3       ·       y to the power of 5 = y to the power of 8,  which is true because their exponents added together would be 8 → (3 + 5).

Overall you're basically just multiplying all those exponents together.

As the given statement has a lot of misspellings and grammatical errors, assuming that it is intended to be written as: Suppose there are no other sources of energy, and the question is to draw a light ray hitting each box to show what happens when blue light hits the box. Your rays should all start from an emanating source.

Assuming the question is about the interaction of blue light with bes and a black box, here's how the light rays would behave when they hit these boxes:

When blue light is incident on a bes (a type of Hungarian stew), it will be reflected and scattered, as is the case with any non-metallic substance. Blue light has a short wavelength, which causes it to scatter more than other colors in the visible spectrum. The short wavelengths of the blue light cause it to excite the molecules in the air, causing them to emit blue light in all directions, which is why the sky appears blue.

When blue light is incident on a black box, it will be absorbed since black absorbs all colors in the visible spectrum. When blue light is absorbed, its energy is converted into heat. Thus, the black box will warm up as it absorbs more and more blue light.

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Answer:

y=2/3x-7

Step-by-step explanation:

For lines to be parallel, they must have the same slope which is 2/3. However, they can't have the same y-intercept.

Answer:

Step-by-step explanation:

We have that

ax -y=4

if the graph of the equation would pass through the point M (3, 5)

then

for the point M (3, 5)

x=3

y=5 I substitute the values of x and y in the --> a*3-5-4------> a*3=4+5------->

equation

ax -y=4- a=9/3

a=3

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h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The slope-intercept form of the equation of the line is y = x + 6.

A linear equation with a degree of one is referred to as an equation of the line. Two variables, x, and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation.

The equation of the line's general form is:

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The formula for calculating the line's slope is

Slope = ( 6 - 4) / ( 2 - 0)

Slope = 1

The y-intercept will be calculated as:-

y = mx + c

y = x +c

6 = c

The equation of the line can be written as:-

y = x + 6

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The solution is 6 - 2(10) degrees Celsius was the temperature after 5 hours.

Here, we have,

initially it was 6°,

30 minutes later it went down to 6 - 2,

30 minutes later it went down to 6 - 2 - 2

let's check the change per intervals of 30 minutes

so after 1 interval of 30 minutes, it went down to 6 - 2

after 2 intervals of 30 minutes, it went down to 6 - 2 - 2, or just 6 -2(2)

after 3 interval of 30 minutes, it went down to 6 - 2 - 2 - 2, or just 6 -2(3)

after "x" intervals of 30 minutes, it went down to 6 - 2(x).

now, how many 30 minutes intervals are there in 5hours?  well, 10.

so after 5 hours, x = 10, thus it went down 6 - 2(10) degrees Celsius.

Hence, The solution is 6 - 2(10) degrees Celsius was the temperature after 5 hours.

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Answer:

121

Step-by-step explanation:

I got it right.

Answer:

14.29% probability that washing dishes tonight will take between 14 and 15 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.

This means that

What is the probability that washing dishes tonight will take me between 14 and 15 minutes?

14.29% probability that washing dishes tonight will take between 14 and 15 minutes.

Answer:

Step-by-step explanation:

Scaling is:

Cross- multiplication:

Equivalent answer choice is B:

Answer:P(c) =80x+100

First of all why is thomas buying 55 jerseys and the total is $4500

Step-by-step explanation:

Answer:q = - 9 and r = - 10

Step-by-step explanation:

since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12

q + r + 7 = - 12 ( subtract 7 from both sides )

q + r = - 19 → (1)

Since (x - 3) is a factor of g(x), then

g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is

108 + 9q + 3r + 3 = 0

9q + 3r + 111 = 0 ( subtract 111 from both sides )

9q + 3r = - 111 → (2)

The 2 equations to be solved simultaneously are (1) and (2)

Multiply (1) by - 3

- 3q - 3r = 57 → (3)

Add (2) and (3) term by term to eliminate r

6q = - 54 ( divide both sides by 6 )

q = - 9

Substitute q = - 9 into (1)

- 9 + r = - 19 ( add 9 to both sides )

r = - 10

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Answer:

Let the first consecutive number be x and the second be 2x and third be 3x.

x+2x+3x=21

6x=21

x=3.5

to find all of the numbers we say,

2*3.5=7

3*3.5=10.5

the smallest number is 3.5

Answer:

Step-by-step explanation:

138° - 80° = 58°

[1] H 2.4

    Let us turn the pictures into equations, using the key given. Then, we will solve.

x + x + \(\frac{1}{4}\)x + 1 + 1 + 1 = x + x + x + \(\frac{1}{2}\)x

2x + \(\frac{1}{4}\)x + 3 = 3x + \(\frac{1}{2}\)x

\(\frac{9}{4}\)x + 3 =  \(\frac{7}{2}\)x

3 = \(\frac{5}{4}\)x

x = 2.4

[2] J

    We can tell the first two options are incorrect because there was a change in size, not position.

    Option H would make the shape bigger, but it becomes larger. This means the answer is option J.

Answer:

All rational numbers are real,

Answer:

False

Step-by-step explanation:

This is because all non terminating numbers are not rational because they a non terminating number may non repeating which means it may not be able to go in p/q form, hence, NOT ALL NON TERMINATING NUMBERS ARE RATIOANL, BUT FEW ARE.

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