Solve the following system of equations (ASAP please)

Answer:

No

Step-by-step explanation:

If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.

Calculate the ratio of corresponding sides.

[tex]\frac{6}{1.5}[/tex] = 4

[tex]\frac{10}{2.5}[/tex] = 4

[tex]\frac{12}{3.5}[/tex] ≠ 4

Thus the sides are not the corresponding sides of similar triangles.

Answer:

0.3. and 2

Step-by-step explanation:

For this equation: a=1, b=0.3333333333333333, c=0.8333333333333334

1x2+0.333333x+0.833333=0

Step 1: Use quadratic formula with a=1, b=0.3333333333333333, c=0.8333333333333334.

x=

−b±√b2−4ac

2a

x=

−(0.333333)±√(0.333333)2−4(1)(0.833333)

2(1)

x=

−0.3333333333333333±√−3.222222

2

i think this is right :)

Answer:

<1 and <2 are alternate exterior angles

<3 and <4 are consecutive interior angles

Step-by-step explanation:

<1 and <2 are alternate exterior angles

Alternate exterior angles are on opposite outside of the lines

<3 and <4 are consecutive interior angles

Consecutive interior angles are on the same side on the inside of the line

An exponential function is a mathematical concept characterized by a constant base elevated by a variable exponent. The rate of growth or decay of the function is proportional to its current value, leading to exponential growth or decay.

An exponential function is a mathematical concept where a constant base is elevated by a variable exponent. The base could be any positive value different from one. A simple example of this type of function is f(x) = 2^x, where 2 is the constant base and x is the variable exponent.

The unique property of an exponential function is that the rate of growth or decay is proportionate to its current value. This means, as the variable x increases, the function value increases exponentially when the base is greater than one - thus showing exponential growth. Conversely, if the base is less than one but greater than zero, the function value decreases as x increases - thus representing exponential decay.

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Step-by-step explanation:

I just finished the assignment and got everything right ;)

Hope i helped!

Answer:

c

Step-by-step explanation:

Answer:

The expected number of times that Noah wears either boots or loafers is 99.

Step-by-step explanation:

Given:-

- Noah has 8 different pairs of shoes to wear, Out of 8 pairs:

                    two pairs of boots

                    one pair of loafers

Find:-

For how many days of the next 264 is it expected that Noah will wear either boots or​ loafers?

Solution:-

- Denote an Event (A) that Noah selects a pair of boots.

- Denote an Event (B) that Noah selects a pair of loafers.

- The probability of each event is to be determined:

                p ( A ) = Pair of boots / Total pair of shoes

                p ( A ) = 2 / 8

                p ( A ) = 1/4

                p ( B ) = Pair of loafers / Total pair of shoes

                p ( B ) = 1 / 8

- The probability that Noah selects a pair of boot or loafers is independent from each other:

               p ( A U B ) = P (A) + P (B)

               p ( A U B ) = 0.25 + 0.125

                                 = 0.375

- The expected number of days out n = 264 days do we expect Noah to wear either boots or loafers.

- The number of days (trials) n = 264 days

- The probability of success = p ( A U B ) = 0.375

- The expected value = n*p

                                   = 264*0.375

                                   = 99 days

Big guy up there done wrote a whole pg. The answer is 99 days. Have a good day.

Answer:

x=2 or 5/3

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

Answer:

x = 5/3

x = -2

Step-by-step explanation:

6x² + 2x - 20 = 0

(6x - 10)(x + 2)

= 6x² + 12x - 10x - 20

= 6x² + 2x - 20

6x - 10 = 0

6x = 10

x = 10/6

x = 5/3

x + 2 = 0

x = -2

Answer:

− 21 x + 28 ,  7 ,  3 x − 4 ,  − 7 ( 3 x − 4 ) ,  − 7 , 3 x + 4 ,  − ( 21 x − 4 )

Step-by-step explanation:

too much to explain sorry

Hope this helped!

The factor of the expression -21x + 28 is equal to  -7(3x – 4). The correct option is B.

The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols. They can also denote the operation order and other properties of the logical syntax.

Given expression is -21x + 28, The value of the expression will be calculated as,

E = -21x + 28

Take -7 common from the whole expression,

E = -21x + 28

E = -7 ( 3x - 4 )

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Answer:

3:4

Step-by-step explanation:

Before we start to deal with the ratio, we need all lengths in the same units.

The width is 18 inches.

The height is 2 feet.

Let's convert the height to inches. Then we will have both dimensions in the same units, inches.

2 ft * (12 in.)/ft = 24 in.

Now we have:

width = 18 in.

height = 24 in.

ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4

The ratio of the width to the height of the bonsai tree is 3:4 after converting the height into inches and simplifying the ratio.

The question asks to find the ratio of the width of a bonsai tree to its height. Since the width is given in inches and the height in feet, we first need to convert the height into inches to have a consistent unit of measure. There are 12 inches in 1 foot, so the bonsai tree's height is 2 feet times 12 inches/foot, which equals 24 inches.

Now, we can write the ratio of the width to height as 18 inches (width) to 24 inches (height). This simplifies to 3:4 after dividing both terms by the greatest common factor, which is 6.

Answer:

Therefore a= 90°,b=54°, x=54°, y= 162°

Step-by-step explanation:

a=90°

a:b=5:3

5+3= 8

5/8 x A = 90

A is the sum of the angles of a and b divided in the ratio 5:3

5A/8 = 90

cross multiply

5A= 90 X8 = 720

5A=720

A= 720/5= 144°

b= 3/8 x 144 = 3x144/8 = 432/8 = 54

a= 90

b= 54

x:y is in the ratio of 1:3

the Sum of angles in a Quadrilateral is 360°

if the sum of a and b is 144°

then the reamining angles is 360-144= 216°

then x:y=1:3

1+3=4

x= 1/4 x 216= 54°

y= 3/4 x 216= 162°

Therefore a= 90°,b=54°, x=54°, y= 162°

we can see that b = x = 54°

Answer:

Wavelength

Step-by-step explanation:

The picture below is an example of a wavelength which is very similar.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)  when :     x_1 = -5  and    y_1 =3 and   m= -6/5

the equation :   y - 3 = -6/5(x +5)

Answer:

y=-6/5x-3

Step-by-step explanation:

Answer:

8/5

Step-by-step explanation:

I'd write the following:

2       1

---- ÷ ----

 5      4

To divide by a fraction (such as 1/4), invert the divisor fraction and multiply instead:

2       4

---- · ---- = 8/5

 5      1

Answer: 0.25

Step-by-step explanation:

0.75-0.5= 0.25

Answer:

d= 0.75-0.5

d= 0.25

Step-by-step explanation:

so firstly you subtract 0.5 from both sides

d= 0.75-0.5

d=0.25

Answer: 10.3 pounds of CO2 is produced

Step-by-step explanation:

Assuming there are 30 days in a month, if the microwave is run for 10 minutes per day, then the number of minutes for which the microwave is run in a month is

30 × 10 = 300 minutes

We would convert from minutes to hours

60 minutes = 1 hour

Therefore,

300 minutes = 300/60 = 5 hours

Also,

1000 watts = 1 kW

Therefore,

1500 watts = 1500/100 = 1.5kw

Therefore, the number of kWh is

1.5 × 5 = 7.5 kWh

If 1.37 pounds CO2 per kWh, then

If 1kWh = 1.37 pounds CO2, then

7.5 kWh = 7.5 × 1.37 = 10.3 pounds rounded to the nearest tenth

Final answer:

A 1500-watt microwave running for 10 minutes per day for one month emits approximately 10.3 pounds of CO2 when rounding to the tenths place.

Explanation:

The question is how much carbon dioxide is produced from running a 1500-watt microwave for 10 minutes a day for a month. To solve this, we first need to calculate the total energy used by the microwave in kWh. Since the microwave uses 1500 watts and is used for 10 minutes daily, we convert this to hours:

10 minutes = 10/60 hours = 1/6 hour

Power in kWh = Power in watts / 1000

Energy used per day in kWh = (1500 watts / 1000) x (1/6 hour) = 0.25 kWh

Next, we need to calculate the monthly energy use:

Energy used per month in kWh = 0.25 kWh/day x 30 days = 7.5 kWh

Using the given conversion factor of 1.37 pounds of CO2 per kWh, the total CO2 emissions can be calculated:

CO2 emissions = 7.5 kWh x 1.37 pounds CO2/kWh = 10.275 pounds of CO2

Finally, rounding to the tenths place:

CO2 emissions for the month = 10.3 pounds (rounded)

Answer:

A) (2+x)/(4+x) × 100 = 75

B) 4

Step-by-step explanation:

2 out of 4

(2+x) out of (4+x)

(2+x)/(4+x) × 100 = 75

(2+x)/(4+x) = 3/4

8 + 4x = 12 + 3x

x = 4

the answers are c and d

Answer:

The width is 4 feet

Step-by-step explanation:

Yes, I might be able to answer it! Hello there!

In this question, we are asked to calculate the height of a pool which has a shape of right rectangular prism.

The key to solving this problem is simply by knowing the formula for the volume of a right rectangular prism.

Mathematically the volume V is w * h * l where w , h and l are the width, height and length respectively.

Now let’s input these values and get what the height of the pool is.

It would be easier if you had the measurements are in decimals;

137 1/2 becomes 137.5

6 1/4 becomes 6.25

5 1/2 becomes 5.5

kindly note the fraction 1/2 is 0.5 in decimals while the fraction 1/4 is 0.25 in decimals

So now let’s compute the height;

137.5 = w * 6.25 * 5.5

w = 137.5/(6.25 * 5.5)

w = 137.5/(34.375)

w = 4 feet

[tex]PQR=( {x}^{2} - yz)( {y}^{2} - {x}^{2} )( {z}^{2} - xy) = \\ = {x}^{2} {y}^{2} {z}^{2} - {x}^{3} {y}^{3} - {x}^{4} {z}^{2} + {x}^{5} y - {y}^{3} {z}^{3} + \\ + x {y}^{4} z + xy {z}^{3} - {x}^{2} {y}^{2} z[/tex]

I don't know if it was necessary to open the brackets, but I think you can write it like this:

[tex]PQR=( {x}^{2} - yz)( {y}^{2} - {x}^{2} )( {z}^{2} - xy) \\ [/tex]

Answer:

Pyramid

Step-by-step explanation:

Answer:

it is a 7 step process explained in explanation section

Step-by-step explanation:

Step one

fill 7 litre bucket then pour it in 4 liter bucket

output: 7 litre bucket has 3 litres and 4 litres bucket has 4 liter in it

Step two

drain four liter bucket and pour 3 liter from 7 litre bucket in it

output: 7 litre bucket has 0 litres and 4 litres bucket has 3 liter in it

step 3

fill 7 litre bucket and transfer water from it in 4 liter bucket which has already 3 liter in it

output: 7 litre bucket has 6 litres and 4 litres bucket has 4 liter in it

step 4

drain four liter bucket and pour 4 liter from 7 litre bucket which has 6 litre in it

output: 7 litre bucket has 2 litres and 4 litres bucket has 4 liter in it

step 5

drain 4 litre bucket and pour 2 litre from 7 litre bucket

output: 7 litre bucket has 0 litres and 4 litres bucket has 2 liter in it.

step 6

fill 7 liter bucket fully

output: 7 litre bucket has 7 litres and 4 litres bucket has 2 liter in it.

step 7

pour water from 7 liter bucket in 4 litre bucket which has already 2 litre in it

output: 7 litre bucket has 5 litres and 4 litres bucket has 4 liter in it.

Answer:

The second, third and fifth are true.

Step-by-step explanation:

1) False, the radius is d÷2=8÷2=4 cm

2) True, C = 2×π×r = π×d = 8π

3) True, C = 8π = 8 × 22/7 = 176÷6 ≈ 25,14

4) False, C = 25,14 ≈ 25

5) True, C = 8π = 8×3,14 = 25,12

Answer: B,C,E

Step-by-step explanation:

Pls mark Brainliest.

Answer:

If we write the final answer with negative exponents, then it will be:

(x^-7)(y^-4)

If we write this as a fraction, it will be:

1/(x^7)(y^4)

Step-by-step explanation:

x^-3 is equivalent to 1/x^3. We can put this in the denominator expression and calculate the product:

[tex]\frac{y^{2} }{(x^4)(x^3)(y^6)}[/tex]    This simplifies into:

[tex]\frac{y^{2} }{(x^7)(y^6)}[/tex]    after the denominator simplifies.

If we write the final answer with negative exponents, then it will be:

(x^-7)(y^-4)

If we write this as a fraction, it will be:

1/(x^7)(y^4)

The simplified form of [tex]\(\frac{{x^{-3} \cdot y^2}}{{x^4 \cdot y^6}}\)[/tex] is [tex]\(\frac{1}{{x^7 \cdot y^4}}\)[/tex], with all exponents as positive values in the denominator.

To simplify the expression [tex]\(\frac{{x^{-3} \cdot y^2}}{{x^4 \cdot y^6}}\)[/tex], we can apply the rules of exponents. First, we subtract the exponent in the denominator from the exponent in the numerator for each variable (x and y).

For x, we have [tex]\(x^{-3 - 4} = x^{-7}\)[/tex], and for y, we have [tex]\(y^{2 - 6} = y^{-4}\)[/tex].

So, the expression simplifies to [tex]\(x^{-7} \cdot y^{-4}\).[/tex]

To express this in a more conventional form, we can move the negative exponents to the denominator, resulting in [tex]\(\frac{1}{{x^7 \cdot y^4}}\).[/tex]

In this simplified form, the expression has all positive exponents and represents the same mathematical relationship as the original expression but in a more compact and manageable format.

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Answer:

θ = 170°

Step-by-step explanation:

Given angle is in radian as,

[tex]\theta^{c} = \dfrac{17 \pi}{18}[/tex]

Here, [tex]\theta^{c}[/tex] symbol represents the angle is in radian.

To convert given angle into degree, multiply the given angle with conversion factor as follows,

[tex]\theta^{\circ} = \theta^{c} \times \left(\frac{180}{\pi }\right)^{\circ}[/tex]

Substituting the values,

[tex]\theta^{\circ} =  \dfrac{17 \pi}{18} \times \left(\dfrac{180}{\pi }\right)[/tex]

Cancelling out the common terms,

[tex]\theta^{\circ} =17\times \left(10\right)[/tex]

Therefore,

[tex]\theta^{\circ} =170^{\circ}[/tex]

Therefore the value of given angle in degree is 170°

To convert radians to degrees, utilize the conversion factor 180/π. In this instance, we have the angle (17π / 18) radians, which simplifies to 170 degrees when converted to the degree format.

The subject topic of this conversation is about converting radians to degrees. Specifically, we're looking at how to convert the radian measurement = 17 / 18 into degrees.

One radian is equivalent to 180/ degrees. As such, to convert radians to degrees, you multiply the radian measurement by this conversion factor (180/).

Have a look at the calculation: = (17 / 18) * (180/).

The cancels out leaving us with / * . This calculation gives us = 170 degrees.

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Answer:

The top angle is 60 degrees

Step-by-step explanation:

Triangle angle sum equals to 180. 90 plus 30 is 120 and when you subtract that from 180 tada! 60

Answer: The required confidence interval is (56.1,66.9).

Step-by-step explanation:

Since we have given that

53.1, 60.2, 60.6, 62.1, 64.4, 68.6

[tex]\bar{x}=\dfrac{53.1+60.2+60.6+62.1+64.4+68.6}{6}=\dfrac{369}{6}=61.5[/tex]

n = 6

Margin of error = 5.4

At 95% level of confidence, z = 1.96

So, the confidence interval would be

[tex]\bar{x}\pm \text{Margin of error}\\\\=61.5\pm 5.4\\\\=(61.5-5.4,61.5+5.4)\\\\=(56.1,66.9)[/tex]

Hence, the required confidence interval is (56.1,66.9).

Answer:

(6x² + 4x +1) - (4x + 20) = 6x² + 21

Step-by-step explanation:

(6x² + 4x +1) - (4x + 20)

= 6x² + 4x -4x + 1 + 20

= 6x² + 21

Answer:

option a all real values of x where x < −1

Step-by-step explanation: