(This is a question from arithmetic sequence) Jay’s dog weighs 35 kilograms and is overweight. The dog is put on a diet, losing 0.4kg

every week. How long does it take to reach the target weight of 28 kilograms?

(a) The y-intercept is when x=0, so the answer is (0,3).

(b) Perpendicular lines have gradients that multiply to -1, so the gradient of B is 1/4.

So, the equation is y = ¼x + 3.

Answer:

THANK YOU?

Step-by-step explanation:

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Please, give me brainliest

Answer:

6 and 3

Step-by-step explanation:

5.8 to the nearest whole is 6

3.147 to the nearest whole is 3

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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Answer: x=4+2i , x=4-2i hope this helps tho :>

Step-by-step explanation

The solutions to the equation x 2 −8x+20=0 are x= 10,-2.

The equation  x 2 −8x+20=0  can be written as (x-10) (x+2) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x-10=0

x+2=0

so, the solution to the equation x 2 −8x+20=0 are x=10 and x=-2.

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Check the picture below.

Make sure your calculator is in Degree mode.

The number of vowels is:

The total number of tiles is:

Therefore, the total number of letters not vowels is given by:

Hence, the probability of picking a letter that is not a vowel:

Therefore the required probability is 4/5

Answer:

0.4

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation: Khan

Answer: as per question statement

we need to set up an equation first

p(t)=1200e(0.052*t)

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

P(6)=1200e(0.052*6)=1639.38

1638.38 bacteria were present at that time t=6

Step-by-step explanation: I hope this helps.

Answer:

6

Step-by-step explanation:

15 divided by 2.50 is 6

The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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a) Ursula can make 2 batches of brownies with 1/2 cup of butter.

b) According to the fraction, the number of serving is 6 2/5 servings.

Part A: To find how many batches of brownies Ursula can make with 1/2 cup of butter, we need to divide 1/2 by 1/4. We can think of this as asking, "How many times does 1/4 go into 1/2?" To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction, which means we flip the second fraction and multiply. So, we have:

1/2 ÷ 1/4 = 1/2 x 4/1 = 4/2 = 2

Part B: To find how many 1/8-cup servings are in 4/5 cup of ice cream, we need to divide 4/5 by 1/8. We can think of this as asking, "How many times does 1/8 go into 4/5?" Again, we can use the reciprocal method to divide fractions:

4/5 ÷ 1/8 = 4/5 x 8/1 = 32/5

Since we want to express the answer in terms of 1/8-cup servings, we need to divide the numerator (32) by the denominator (5) and simplify:

32 ÷ 5 = 6 with a remainder of 2

So, we have 6 whole 1/8-cup servings in 4/5 cup of ice cream, plus an additional 2/5 of a 1/8-cup serving. Therefore, the answer is 6 2/5 servings.

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Answer:

E' is (4, 6)

F' is (5, 4)

Step-by-step explanation:

To translate an object is to move it exactly as it is to another place on the graph.  Therefore, E' is (4, 6) and F' is (5, 4).

Answer:20

Step-by-step explanation:20+20=40+20=60-40=20

If the company needs a list of top 5 sales people then the number of rankings that are possible are  45239040  .

In the question ,

it is given that ,

the total number of salespeople in the company is = 36

the number of sales people that need to be ranked is = top 5 salespeople ,

we have to ranked the top 5 salespeople ,

So , the top 5 salespeople can be ranked in ³⁶P₅ ways .

³⁶P₅ = 36!/(36 - 5)!

= 36!/31!

On further simplifying ,

we get ,

= 45239040

Therefore , the number of ranking that are possible are 45239040 .

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Answer:

15x + 28y = 116

x + y = 6

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Step-by-step explanation:

3.000976×10⁹ would be how I will write in standard form

The length of one edge of the tabletop is 4.89 feet.

We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.

The area of square table is given by the formula -

Area of square table = side²

We will keep the value of area of square table to find the value of side which will be length of edge

24 = side²

Side = ✓24

Taking square root for the value on right side of the equation

Side = 4.89

Hence, the length of one edge of the tabletop is 4.89 feet.

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Given statement: The rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.

Given statement is True.

The reason for this rule of thumb is that tasks often take longer than initially estimated due to unforeseen challenges, dependencies, and other factors that can cause delays.

By estimating the time of completion as 1.5 times the original estimate, you are accounting for these potential delays and allowing for a more realistic timeline.

This rule of thumb is not a hard and fast rule, and there will be cases where tasks take less or more time than 1.5 times the original estimate. However, it can be a helpful guideline for project planning and resource allocation, as it helps to ensure that sufficient time and resources are allocated to complete tasks within a realistic timeframe.

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The given statement is FALSE.

If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.

When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.

When you have a skewed distribution, the median is a better measure of central tendency than the mean

The median and mean can only have one value for a given data set. The mode can have more than one value

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

As i understand, you put an egg inside a container, and then you drop it from 30ft above the ground.

Now, when the container is in the air, the only force acting on it will be the gravitational force (we can discard things like the air resistance, as we do not know the shape or volume of the container).

The gravitational acceleration is g = 32.2ft/s^2

Then the acceleration of the container will be:

A(t) = -32.2ft/s^2

For the velocity, we need to integrate over time to get:

V(t) = (-32.2ft/s^2)*t + v0

where v0 is the initial velocity, as the container is "dropped", the initial velocity is zero, then:

V(t) = (-32.2ft/s^2)*t

For the position, or height in this case, we integrate again over time, and get:

P(t) = (1/2)*(-32.2ft/s^2)*t^2 + p0

Where p0 is the initial height, 30 ft in this case.

Then the equation for the height, as a function of time, is:

P(t) = (-16.1ft/s^2)*t^2 + 30ft.

Where the fact that the container is made in such a way that an egg inside of it does not break (For example, made of a really dense and elastic material that can absorb all the energy of the impact), does not change anything in this equation, as the kinematics do not depend on that kind of properties.

The value of the expression \(\frac{\sqrt{3} x^{5}}{8x^{2}}\) after rationalizing the denominator is \(\frac{\sqrt{3}(x^{3})}{8}\)..

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a cube root or a square root, from the fraction's denominator to its numerator (numerator).

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

\(\frac{\sqrt{3} x^{5}}{8x^{2}}\)

Now, let \(y=\frac{\sqrt{3} x^{5}}{8x^{2}}\)

\(y=\frac{\sqrt{3} x^{2}(x^{3})}{8x^{2}}\)

Using the exponent rule \(\frac{x^a}{x^b}=x^{a-b}\)

\(y=\frac{\sqrt{3}(x^{3})}{8}\)

The value of the expression when rationalized \(\frac{\sqrt{3} x^{5}}{8x^{2}}\) is \(\frac{\sqrt{3}(x^{3})}{8}\).

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Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis.

This is because the p-value is greater than the significance level, indicating that there is not enough evidence to reject the null hypothesis. Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis. It is important to note that although the results are not statistically significant, they do not necessarily mean that the null hypothesis is true. The results only indicate that the data does not provide sufficient evidence to reject the null hypothesis at the given significance level. In practice, it is always advisable to consider other factors before drawing final conclusions.

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Answer:

0.0421

Step-by-step explanation:

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 8.9 pounds

σ is the population standard deviation = σ = 1.1 pounds

For x < 7 pounds

z = 7 - 8.9/1.1

= -1.72727

Probability value from Z-Table:

P(x<7) = 0.042059

Therefore, the proportion of domestic house cats weigh less than 7 pounds is

0.042059

Approximately = 0.0421

Answer:

Step-by-step explanation:

If that is to the 0, well anything to the 0 is 1.

Answer:

= 8

Step-by-step explanation: