Please find the general limit of the following function:

\(\lim_{x \to 9}(x^2 + 2^7 + (9.1 \times 10))\)

The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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Answer:

b or c i think

Step-by-step explanation:

not for sure just a guess

Answer:

128 servings

Step-by-step explanation:

It takes 1 1/4 cups to make 10 servings

1 1/4 as a mixed fraction = 5/4  

So 5/4 cups makes 10 servings

1 cup makes 10 ÷ 5/4

Use the fraction rule for division
a/b ÷ c/d = a/b x c/d

10 ÷ 5/4 = 10 x 4/5 = 8 servings from 1 cup

1 gallon = 16 cups

At 8 servings per cup, total number of servings for 16 cups
= 8 x 16 = 128 servings ANSWER

Answer:

x>0.5

Step-by-step explanation:

move the -5 over to the 4 but make the negative a positive, then divide everything by 2 ant there you go x>0.5

Carrie has 4 more pints of paint than Bryan.

Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.

To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.

Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.

Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.

To find the difference, we subtract Bryan's pint quantity from Carrie's:

24 - 20 = 4 pints.

Therefore, Carrie has 4 more pints of paint than Bryan.

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Answer:

71.75

Step-by-step explanation:

Base x height (hope this helped)

Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

Answer:

36.3636364%

or 36.36

Step-by-step explanation:

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.

(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

The next step is to combine like terms within each parentheses:

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

Finally, we can add the two expressions:

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

= 56x - 3x² - 8x + 2x³ + 3 + 7

= 56x - 3x² - 8x + 2x³ + 10

The final answer is 56x - 3x² - 8x + 2x³ + 10.

Answer: rectangle

Step-by-step explanation: Because I saw another Brainly answer saying it was rectangle

The Coordinates of the graphed point are (−3, 2.5).

The coordinates of the graphed point, based on the given description, are (−3, 2.5).

The x-coordinate represents the horizontal position of the point, and it is described as being 3 units to the left of the y-axis. Since the y-axis is the vertical line passing through x = 0, moving 3 units to the left means the x-coordinate is −3.

The y-coordinate represents the vertical position of the point, and it is described as being 2.5 units up from the x-axis. Since the x-axis is the horizontal line passing through y = 0, moving 2.5 units up means the y-coordinate is 2.5.

Therefore, the coordinates of the graphed point are (−3, 2.5).

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Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer:

initial population : 89

after 9 years : 676

Step-by-step explanation:

no need for panic. this is just plain calculator mechanics. yes, we need to do some more complicated typing and use e, but it is still only typing.

the initial population is P(0). or t = 0.

simply when there were 0 years since the fish were added.

that is simple.

we get (as -0.42×0 = 0)

800 / (1 + 8e⁰) = 800 / (1+8×1) = 800 / 9 ≈ 89

now, after 9 years we have to calculate P(9). or t=9.

let's pre-calculate : -0.42×9 = -3.78

e to the power of -3.78 = 0.022822691...

8 times this is 0.182581531...

and plus 1 is 1.182581531...

800 / 1.182581531... = 676.486127 ≈ 676

Answer: 2.80

Step-by-step explanation:

There is 5 pounds of watermelon and each pound is worth 0.50 cents so

5 x 0.50 = 2.50. So now we need to find the amount 3/5 pounds costs and 5/5 = 0.50 so 1/5 = 0.10 And 3 x 0.10 = 0.30. So 0.30 + 2.50= 2.80

Answer:

  117

Step-by-step explanation:

You want the cross product of vectors u = (12i -3j) and v = (-5i +11j).

The cross product of 2-dimensional vectors is a scalar that is effectively the determinant of the matrix of coefficients.

  u×v = (12)(11) -(-3)(-5) = 132 -15

  u×v = 117

<95141404393>

Answer:

19.5

Step-by-step explanation:

The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

Answer:

144 km

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

When parethesis are next to each other than you need to multiply them.

- times - is positive so -5*--10 would be 50.

The answer of the given question based on the equation is , the unknown number is 6.

An equation is the  mathematical statement that asserts equality of the two expressions. It typically consists of the two expressions separated by equal sign " = ". The expressions can include variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation. Solving an equation involves finding the value(s) of the variable(s) that make the equation true.

The statement can be translated into an equation as follows:

2(y - 2) = 8

Simplifying the equation, we can distribute the 2 on the left-hand side:

2y - 4 = 8

Then, we can add 4 to both sides to isolate the variable:

2y = 12

Finally, we divide both sides by 2 to solve for y:

y = 6

Therefore, the unknown number is 6.

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the transformation ABC is not similar to A”B”C”. hence the statement is false.

We say the statement is false because the ratios of the grid squares are not similar.

We notice that the first triangle is up to over 3 and the other triangle is up 4 over 4 so in order for them to be similar the first triangle would have to be up 3 over 3.

A transformation is described as  a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

#complete question:

Please help this is due today and I’m so stressed!I will mark Branliest!!!

Tanya performs two transformations on ABC to form A"B"C" as shown on the coordinate grid below.

True or False:ABC is similar to A”B”C”?

The constant of proportionality in the equation is 5/4

The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.

The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

In the problem, y = 5/4x

The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values

The term helps in relating x to y

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Assume that the budget is n.

Now we are given that 120% of the budget is equal to $60.

This means that:

60 = 1.2n

Solve the equation for n to know the budget:

60 = 1.2n

n = 60 / 1.2 = 50

Based on the above calculations, Jada's budget is 50$

Answer:

58.8

Step-by-step explanation:

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

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Answer:

\(4\frac{3}{4}\)

4.75

Step-by-step explanation:

0.25 + 0.25 + 0.5 + 0.25 + 0.5 + 0.125 + 0.125 + 0.5 + 1 + 1 + 0.25

0.125 + 0.125 = 0.25

0.25 + 0.25 + 0.25 + 0.25 = 1

0.5 + 0.5 + 0.5 = 1.5

1 + 1 = 2

0.25 + 1 + 1.5 + 2

4.75

Answer:

The answer is 4 3/4

           Hope this helps! good luck :)

Answer:

The least common denominator is 72.

Step-by-step explanation:

8 = 2³

9 = 3²

Since the two denominators have no common factors, the LCD is their product.

LCD = 8 × 9 = 72

The least common denominator is 72.

Answer:

Step-by-step explanation:

-4(7-1) = (-4)7 + (-4)(-1) = -24