8.97 in word decimal form

Answer:

3 1/2 cups does not equal to 1 liter

Answer:

Step-by-step explanation:

Let the sides be x and 3/4x, then the sum of areas is:

The sides of squares are 8 units and 8*3/4 = 6 units

Answer:

Area of the triangle is 10 square units

Step-by-step explanation:

Recall that the formula for the area of a triangle is: "base x height / 2", and  in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:

Area = 4 x 5 / 2 = 10 square units.

Answer:

c=14•366

14•4 to the nearest tenth

Step-by-step explanation:

using Pythagoras theorem

c^2=a^2+b^2

c^2=7•9^2+12^2

c^2=62•41+144

c^2=206•41

take the square roots of both sides

c=14•3669

14•4 to the nearest tenth

Answer:

55 mins

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Transformation involves changing the position of points in the coordinate plane

The sequence of two transformations is (d) reflecting about the line y = -1, followed by translating 8 units to the right​

The vertices of ABC are given as

[tex]A = (-4,3)[/tex]

[tex]B = (-1,5)[/tex]

[tex]C = (-1,2)[/tex]

First the vertices of ABC are reflected across the line y = -1.

The rule of this transformation is:

[tex](x,y) \to (x,-2-y)[/tex]

So, the vertices of ABC after reflection across the line y = -1 are

[tex]A = (-4,-5)[/tex]

[tex]B = (-1,-7)[/tex]

[tex]C = (-1,-4)[/tex]

Next, the vertices are shifted 8 units right.

The rule of this transformation is:

[tex](x,y) \to (x + 8,y)[/tex]

So, the vertices of ABC after this horizontal shift are

[tex]A' = (-4 + 8,-5)[/tex]

[tex]A' = (4,-5)[/tex]

[tex]B' = (-1 + 8,-7)[/tex]

[tex]B' = (7,-7)[/tex]

[tex]C' = (-1 + 8,-4)[/tex]

[tex]C' = (7,-4)[/tex]

Hence, the sequence of transformation is (d)

Read more about transformation at:

https://brainly.com/question/4289712

Answer:

[tex]x = 3 \sqrt{2} [/tex]

y= 3

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

Part 1)

[tex]=12a^5-6a^4-5a^3-24a^2+12a-7[/tex]

Part 2)

[tex](2x^3-10x^2+5x+14)\div(x-2)=2x^2-6x-7[/tex]

Step-by-step explanation:

Part 1)

We would like to multiply:

[tex](3a^3-2a-7)(4a^2-2a+1)[/tex]

Distribute each term from the first group into the second group. So:

[tex]=3a^3(4a^2-2a+1)-2a(4a^2-2a+1)-7(4a^2-2a+1)[/tex]

Distribute further:

[tex]=(12a^5-6a^4+3a^3)+(-8a^3+4a^2-2a)+(-28a^2+14a-7)[/tex]

Combine like terms:

[tex]=(12a^5)+(-6a^4)+(3a^3-8a^3)+(-28a^2+4a^2)+(-2a+14a)+(-7)[/tex]

Simplify:

[tex]=12a^5-6a^4-5a^3-24a^2+12a-7[/tex]

Part 2)

We would like to divide:

[tex](2x^3-10x^2+5x+14)\div(x-2)[/tex]

Using long division.

Please refer to the attached document.

For the first step, x goes into 2x³ 2x² times. Hence, we multiply our divisor by 2x².

Next, x goes into -6x^2 -6x times. Hence, we multiply our divisor by -6x.

Finally, x goes into -7x -7 times. So, we multiply our divisor by -7 and we simplify.

Therefore:

[tex](2x^3-10x^2+5x+14)\div(x-2)=2x^2-6x-7[/tex]

Answer:

5/6

Step-by-step explanation:

5/10 + 2/6

First find the common denominator by multiplying 5/10 by 3/3

5/10*3/3=15/30

Then to get to that same denominator multiply 2/6 by 5/5

2/6*5/5=10/30

Answer:

15/30+10/30= 25/30

Then divide 25/30 by 5/5

25/30 / 5/5 = 5/6

Answer:

- 18

Step-by-step explanation:

Step 1:

2x + 4y - 10        Equation

Step 2:

2 ( 2 ) + 4 ( - 3 ) - 10       Input x and y values

Step 3:

4 - 12 - 10         Multiply

Answer:

- 18         Combine Like Terms

Hope This Helps :)

Answer: -18

Order of Operations:

Equation: 2x + 4y - 10

Include x and y:

2 x 2 + 4 - (-3) - 10

Multiply the numbers:

4 - 12 - 10

Combine like terms.

You get -18

Answer:

(2.5, -3.25)

Step-by-step explanation:

In relictions, only one value in the coordinate changes, either the x or y value depending on the type of reflection

First, reflect the coordinate over the x-axis.

Reflections across the x-axis is basically folding the graph across the x-axis. If you fold the graph across the x-axis, you notice that only the y-value is changing to be the opposite sign.

Basically in a reflection of the x-axis, the coordinates (x, y) change to (x, -y)

Therefore, (-2.5, -(3.25)) turns into (-2.5, -3.25)

Next, reflect the coordinate (-2.5, -3.25) across the y-axis. Similarly as above, reflections across the y-axis is like folding the graph on its y-axis. If you do so, you notice that only the x-value changes while the y-values stays the same.

Therefore (x,y) turns into (-x, y)

So, (-2.5, -3.25) = (-(-2.5), -3.25) = (2.5, -3.25)

Answer:

[tex](2.5 , -3.25)[/tex]

When you do a reflection, the negative values turn positive and the positive values turn negative.

Currently in the graph, the ordered pair is (-2.5, 3.25).

So, we will flip the two around.

Now, we will put them into an ordered pair again.

Our new ordered pair will be (2.5, -3.25)

Best of Luck!

Answer:

4.5

Step-by-step explanation:

Graph y=3x then find two points from the graph, then find the distance between them two and round 4.47 to 4.5

Answer:

3.2

Step-by-step explanation:

the answer was in the back of my textbook

Answer:

Left-hand side: [tex]\displaystyle -\frac{1}{2}\, \ln(5)[/tex].

Right-hand side: [tex]\displaystyle \frac{1}{2}\, \ln(5) - \ln(5)[/tex].

Step-by-step explanation:

Apply the logarithm power rule: [tex]\ln \left(x^{a}\right) = a\, \ln (x)[/tex] for all [tex]x >0[/tex].

This property is not only true for logarithm to the base [tex]e[/tex], but for other bases, as well.

Take the logarithm (to the base [tex]e[/tex]) of the left-hand side of this equation:

[tex]\displaystyle \ln \left(5^{-1/2}\right) = (-1/2)\, \ln(5)[/tex].

For the right-hand side of this equation, consider the logarithm quotient rule:

[tex]\displaystyle \ln \left(\frac{a}{b}\right) = \ln(a) - \ln (b)[/tex] for all [tex]a> 0[/tex] and [tex]b > 0[/tex].

Indeed, on the right-hand side of this equation, [tex]\sqrt{5} > 0[/tex] and [tex]5 > 0[/tex]. Therefore:

[tex]\displaystyle \ln\left(\frac{\sqrt{5}}{5}\right) = \ln\left(\sqrt{5}\right) - \ln(5)[/tex].

This expression could be further simplified. Notice that [tex]\sqrt{x}[/tex] is equivalent to [tex]x^{1/2}[/tex] for all [tex]x \ge 0[/tex]. (Think about how [tex]\sqrt{x} \cdot \sqrt{x} =x[/tex] whereas [tex]x^{1/2} \cdot x^{1/2} = x^{(1/2) + (1/2)} = x[/tex].)

Therefore, [tex]\ln \left(\sqrt{5}\right)[/tex] would be equivalent to [tex]\ln\left(5^{1/2}\right)[/tex]. Apply the logarithm power rule to show that [tex]\displaystyle \ln\left(5^{1/2}\right) = \frac{1}{2}\, \ln(5)[/tex].

[tex]\begin{aligned} \text{R.H.S.} &= \ln\left(\frac{\sqrt{5}}{5}\right) \\ &= \ln\left(\sqrt{5}\right) - \ln(5) \\ &= \frac{1}{2}\, \ln(5) - \ln (5) = -\frac{1}{2}\, \ln(5)\end{aligned}[/tex].

Indeed, the left-hand side of this equation matches the right-hand side.

Answer:

24

Step-by-step explanation:

Answer:

4,14,15,16,17,30

Step-by-step explanation:

sum of two sides  > third side

Difference of two sides < third side

17+14=31> third side

17-14=3 < third side

3<third side <31

14,17,4,30,15,16

Answer:

Even tho it's not Christmas yet Merry Christmas

Step-by-step explanation:

Given:

Selling price of a machine = 7000/-

Gross loss = 20%.

To find:

The cost and gross loss.

Solution:

Let x be the cost of machine.

According to the question,

[tex]x-20\%\text{ of }x=7000[/tex]

[tex]x-\dfrac{20}{100}x=7000[/tex]

[tex]x-0.2x=7000[/tex]

[tex]0.8x=7000[/tex]

Divide both sides by 0.8.

[tex]x=\dfrac{7000}{0.8}[/tex]

[tex]x=8750[/tex]

So, the cost of the machine is 8750/-.

Now,

[tex]\text{Gross Loss}=\text{Cost}-\text{Selling price}[/tex]

[tex]\text{Gross Loss}=8750-7000[/tex]

[tex]\text{Gross Loss}=1750[/tex]

Therefore, the gross loss is 1750/-.

Answer:

x = -2 and 6

Step-by-step explanation:

The quadratic equation is not well written. The correct equation is expressed as x²-4x-12 = 0

Factorize

x²-6x+2x-12 = 0

x(x-6)+2(x-6) = 0

(x+2)(x-6) = 0

x+2 = 0 and x-6= 0

x = -2 and 6

Games won divided by games played.

We must convert 60/75 to a decimal.

So, 60 ÷ 75 = 0.80.

Now convert 0.80 to a percent.

So, 0.80 becomes 80%.

Done.

Answer:

-5, 6 when you reflect over the x axis you have to flip the sign of the y point.  

Answer: the second and third quadrent

Step-by-step explanation:

-5-6 is a quadrent three number so if you go up it reflects on -5,6 on quadrent 2

Answer:

there is no solution because 9 is the only number between 8 and 10 . if you are wondering that there could be a demical too but let me clear that in inequality there is no demical nymber3. thank you hope it could help

Answer:

eight and ninety-seven hundredths

Step-by-step explanation:

because big brains

the answer is -0.8

We had to change 6h and 30m to a decimal which makes 6.5 and when you divide -5.2 and 6.5 you get the answer -0.8.

I dont know part A but I did sum like this in class today

The constant of temperature change if, the temperature changed at a constant rate between 12 P.M. (noon) and 6:30 P.M. is  -0.8.

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

The temperature changed at a constant rate between 12 P.M. (noon) and 6:30 P.M.,

Change the 6h and 30 minutes to decimal as shown below,

6 + 30 / 60

6.5 hours

Divide the temperature change -5.2 by time as shown below,

The temperature change = -5.2 / 6.5

The temperature change = -0.8

To know more about division:

https://brainly.com/question/27566440

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Answer:

X= -5

Step-by-step explanation:

do you need steps?

5x +7/2 = 3x/2 -14

10x+7/2 = 3x-28/2

2(10x+7) = 2(3x-28)

20x +14 = 6x - 56

20x -6x = -56 - (14)

14x = -70

x = -70/14

x = -5

Step-by-step explanation:

14 < 6×?

6×3=18

therefore anything above 3 multiplied by 6 would be greater in value than 14

Answer:

b hope it helps

Step-by-step explanation:

Answer:56

Step-by-step explanation: