Find the value of x

Answer:

30 units

Step-by-step explanation:

b1 = 6

b2 = 10

h1 = 7

h2 ≈ 7

6 + 10 + 7 + 7 = 30 units

Hope this helps!

The function g(x) = x² - 10x + 16 is a quadratic function whose vertex is a minimum, and the minimum value for g(x) = x² - 10x + 16 is -9

The function is given as:

g(x)=x² - 10x + 16

Differentiate the function

g'(x) = 2x - 10

Set the function 0

2x - 10 = 0

Add 10 to both sides

2x = 10

Divide by 2

x = 5

Substitute 5 for x in g(x)

g(5)=5² - 10*5 + 16

Evaluate

g(5) = -9

Hence, the minimum value for g(x)=x² - 10x + 16 is -9

Read more about quadratic functions at:

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Answer:

The missing angle = 113°

Step-by-step explanation:

Let the missing angle be x

Sum all angles in a triangle = 108°

34° + 33° + x° = 108°

x° = 108° - 34° - 33°

x° = 113°

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Answer:

[tex]\tt x=113^o[/tex]

Step-by-step explanation:

We know that the sum of angles in a triangle is always 180°.

So the sum of the three angles must be 180°.The two angles you know measure 34° and 33°.

Now, let's write an equation and find the measure of the unknown angle:-

[tex]\tt 34^o+33^o+ x=180^o[/tex]

[tex]\tt 67^o+x=180^o[/tex]

[tex]\tt x=180^o-67^o[/tex]

[tex]\tt x=113^o[/tex]

Therefore, the measure of the missing angle is 113°.

I. The bacteria culture doubles in size every. day

Part A

A geometric sequence is where the terms increase by the same ratio.

Example:

7, 14, 28, 56, ...

We start at 7 and double each term to get the next term. The common ratio is 2.

============================================================

Part B

The next step is to subtract the two equations straight down. This will cancel the vast majority of the terms, and allow to solve for [tex]S_n[/tex] to get a fairly tidy formula. Refer to part C for more info.

============================================================

Part C

[tex]S_n = a_1 + a_1r + a_1r^2 + \ldots + a_1r^{n-1}\\\\rS_n = a_1r + a_1r^2 + \ldots + a_1r^{n-1} + a_1r^n\\\\rS_n - S_n = \left(a_1r + a_1r^2 + \ldots + a_1r^{n-1}+a_1r^n\right)-\left(a_1 + a_1r + a_1r^2 + \ldots + a_1r^{n-1}\right)\\\\S_n(r - 1) = a_1r^n - a_1\\\\S_n = \frac{a_1r^n - a_1}{r-1}\\\\S_n = \frac{-a_1(r^n - 1)}{-(-r+1)}\\\\S_n = \frac{a_1(1-r^n)}{1-r}\\\\[/tex]

For more information about the canceling going on from step 3 to step 4, see the attachment below.

Answer:

E

I use Desmos graphing to solve this

^● ●^

Answer:

Step-by-step explanation:

Answer: 6.3

Step-by-step explanation:

Answer:

2x(x+2)

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

6 divided by 25 = 0.24

Answer:

13.3 miles to nearest 1/10.

Step-by-step explanation:

The journey forms a right triangle so by Pythagoras:

d^2 = 3^2 + 13^2

d^2 = 9 + 169

d^2 = 178

d = 13.34 miles.

Answer:88.5cm

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Step-by-step explanation:

The cylinder that is sliced by the plane which is not parallel to the base of the cylinder and intersects only at the lateral surface is called an ellipse.

When a cylinder with a longitudinal axis (z) is sliced at an angle to the xy plane, an elliptical shape is created.

In a circle, every plane crosses a circular cylinder perpendicularly to its axis. A plane that is neither at right angles to the axis nor parallel to it, crosses the cylinder in an elliptical shape.

Learn more about an ellipse here:

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Answer:

It is an ellipse.

Step-by-step explanation:

Plato/Edmentum

Answer:

36

Step-by-step explanation:

Given expression:

[tex](10 - 3 + 5)^{2}} \times \dfrac{1}{4}[/tex]

Simplify the expression in the parenthesis

[tex]\implies (12)^{2} \times \dfrac{1}{4}[/tex]

Simplify the exponents in the expression:

[tex]\implies (12) \times (12) \times \dfrac{1}{4}[/tex]

[tex]\implies 144 \times \dfrac{1}{4}[/tex]

∴ Recall that: (a × 1/b = a ÷ b)

[tex]\implies 144 \div 4[/tex]

Simplify the expression:

[tex]\implies 144 \div 4[/tex]

[tex]\implies \boxed{36}[/tex]

Answer:

C)  36

Step-by-step explanation:

Given expression:

[tex]\dfrac14(10-3+5)^2[/tex]

Following the order of operations, carry out the operations inside the bracket first:

[tex]\implies \dfrac14(7+5)^2[/tex]

[tex]\implies \dfrac14(12)^2[/tex]

Now carry out the exponent:

[tex]\implies \dfrac14(144)[/tex]

Finally:

[tex]\implies \dfrac{144}{4}=36[/tex]

Answer: l08

Step-by-step explanation: It's becuase 36 x 3 is 108

Answer:

true. each number is being divided by 1/2

Answer:

Step-by-step explanation:

Given equation

Simplify it to get

We have both sides equal, if we simplify further it will result in correct equation

Regardless the value of m, the equation remains correct. It means it has infinite solutions

Correct choice is D

Both sides are equal equation has infinite solutions

Answer:

3:6

Step-by-step explanation:

8 ÷ 4 = 2

2 ÷ 1 = 2

6 ÷  3 = 2

Answer:

1. 2:8

2. 1:4

3. 3:12

Step-by-step explanation:

There are 2 parts of oil for every one part of vinegar.

2+1=3

The ratio is made up of 3 total parts.

The part to whole ratio of oil to total is 2:1.

We are looking for an equivalent ratio that has 8 spoonfuls of oil.

If we have 4 times as much oil, we also need 4 times as much vinegar.

Also, we will have 4 times as much total dressing.

2x4=8

1x4=4

3x4=12

Answer:

n

=

1

→

a

1

=

−

2

←

given value

n

=

2

→

a

2

=

−

2

+

4

=

2

n

=

3

→

a

3

=

−

2

+

4

+

4

=

6

n

=

4

→

a

4

=

−

2

+

4

+

4

+

4

=

10

Step-by-step explanation:

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The true statement regarding the facts provided in the table is given by: Option D:  the payment amount each month stays the same.

Amount whose value increases from its past value is called increasing amount.

The missing table is attached below.

Checking the validity of each option:

We see from the table that interest in each previous month is bigger than next month, for example, in first month, it was $56.33, and in next month, it was $54.99, so interest is decreasing.

Thus, this option is not correct.

The principal amount in any previous month is smaller than the next month principal amount. For example, in first month, the principal amount was $184.96 and in next month, it became $186.33, so the principal amount is increasing.

Thus,  this option is not correct.

Option C is false and option D is true. It is because the payment is constant $241.32(iie, it doesn't change, and therefore stays the same) in each of the months.

Thus, the true statement regarding the facts provided in the table is given by: Option D:  the payment amount each month stays the same.

Learn more about comparison of numerical quantities here:

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Answer:

A is the answer

Step-by-step explanation:

Here is one way     pick two easy points  (-4,0) and  (0,-3)

  and sub into each of the equations until you find the one that 'fits'

Answer:

40

Step-by-step explanation:

The angle represented with x is the supplementary the interior with the measure of 160 so x = 20

if it's going to be increased by 20 degrees the new measure of the angle will be 40

Answer:  Hello there!

The open circle means that the set does not contain that extreme, so with this information, you could discard the third and fourth options.

The ray moves right, in the usual notation, the real numbers increase to the right, then, in this case, we are looking at the set of numbers bigger than 8, that does not contain the number 8.

then the inequality graphed is x > 8, and this means that the right answer is the first option.

Answer: x > 8

I also had the same question and got it right

Answer:

the sum of three products

Answer:

395.64 m³

Step-by-step explanation:

Volume (figure)

Answer:

The answer is 396m^3.

Step-by-step explanation:

The solution is in the attached file

People may have a bias towards whether they read fast or slower on purpose because they believe they will retain more information that way (each person is different). If your taking a wpm test, for example, you won't pay attention to comprehension, only speed. Another bias is the type of book your reading and whether you enjoy it. Studies prove that you tend to soak in more information and read faster when you are enjoying the book.

The percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%

1 std above mean = M + d = 43.8  + 5.1 = 48.9

1 std below the mean, = M - d = 43.8 - 5.1 = 38.7

The probability between one standard deviation below the mean and one standard above the mean = 34% + 34% = 68%

Thus, the percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%.

Learn more about normal distribution here: https://brainly.com/question/26678388

Answer:

A, 68%

Step-by-step explanation:

edge

Answer:

Sale price:

Our goal is to find the sale price.

We could use either of the two methods shown below:

Find what the discount price is, and reduce that off the original price.

Or

Simply find the sale price by finding the leftover percentage of the discount and multiplying it by the original price.

Let's use the second technique.

The leftover percentage of 80% is 20%, because;

100 - 80 = 20%.

Now multiply this percentage with the original price:

20%(can be considered 20/100), so

20/100 × $76

= 15.2, the sale price of this item is $15.20!