5c + 4c + 2 and 5c + 2 (2c + 1) are they equal

Answer: 12

Step-by-step explanation:

Answer:

the answer is B.The inputs are {-1, 0, 3, 4}.

Step-by-step explanation:

Answer:the answer is c

Step-by-step explanation:

Answer:

22 - 28x

Step-by-step explanation:

34−4x+12x−12+12x

you wanna combine like terms

34 - 16x + 12 + 12x

34 - 28x + 12

22 - 28x

The equations that parameterize the line from (3, 0) to (-2,-5) are:

y = -5f/17

To parameterize a line, we need to find its direction vector and one point that the line passes through.

First, let's find the direction vector of the line:

Direction vector = (final point) - (initial point)

= (-2, -5) - (3, 0)

= (-5, -5)

Now, let's find the equation of the line using the point-slope form:

(x, y) = (initial point) + t(direction vector)

where t is the parameter.

Therefore, the equations that parameterize the line from (3, 0) to (-2,-5) are:

x = 3 - 5f/17

y = -5f/17

where f varies from 0 to 17.

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It will take 119 x 10⁶ yr for the amount of u-235 to reach 5% of its initial amount.

In the radioactive nuclides, the time for decay is;

t = -2.303 /k log (A/A₀)

In which, k is the decay constant .

k = 0.693/ t₁/₂  for- ₁/₂ is the half-life.

k = 0693/ 703 x 10⁶ yrs = 9.85 x 10⁻¹⁰ /yr

A = amount left after time t

A₀ = Original amount present

Thus,

t = -2.303 / 9.85 x 10⁻¹⁰ /yr x log (0.95)

t = 119 x 10⁶ yr

Thus, it will take 119 x 10⁶ yr for the amount of u-235 to reach 5% of its initial amount.

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The integral ∫[R, 2R] (4/3)πr^3 dr represents the increase in volume of a sphere as its radius doubles from R to 2R. Evaluating this integral will give us the precise value of the volume increase.

To quantify the increase in the volume of a sphere as its radius doubles from R units to 2R units, we can set up an integral that calculates the difference in volume between these two radii. Let's assume V(r) represents the volume of a sphere with radius r. The integral to compute the increase in volume can be written as:

∫[R, 2R] V(r) dr

To evaluate this integral, we need to express V(r) in terms of r. The formula for the volume of a sphere is V(r) = (4/3)πr^3. Substituting this into the integral, we have:

∫[R, 2R] (4/3)πr^3 dr

Evaluating this integral will provide the quantitative increase in volume as the radius doubles from R to 2R.

In conclusion, the integral ∫[R, 2R] (4/3)πr^3 dr represents the increase in volume of a sphere as its radius doubles from R to 2R. Evaluating this integral will give us the precise value of the volume increase.

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Answer:

5.

Step-by-Step explanation:

Distance = √ [(6-3)^2 + (8-4)^2) ]

= √(9 + 16)

= √25

= 5.

(a) a = 9, 3, b = -2, 6 are orthogonal

(b) a = 4, 7, -2, b = 3, -1, 7 are neither parallel nor orthogonal

(c) a = -6i + 9j + 3k, b = 4i - 6j - 2k are neither parallel nor orthogonal

(d) a = 3i - j + 3k, b = 3i + 3j - 2k are orthogonal

(a) To determine if vectors a = (9, 3) and b = (-2, 6) are orthogonal, parallel, or neither, first check if their dot product is 0. If it is, they are orthogonal.

a · b = (9 * -2) + (3 * 6) = -18 + 18 = 0, so a and b are orthogonal.

(b) For vectors a = (4, 7, -2) and b = (3, -1, 7), calculate the dot product.

a · b = (4 * 3) + (7 * -1) + (-2 * 7) = 12 - 7 - 14 = -9, which is not 0, so they are not orthogonal. Since the vectors are not scalar multiples of each other, they are neither parallel nor orthogonal.

(c) For vectors a = (-6i + 9j + 3k) and b = (4i - 6j - 2k), check the dot product:

a · b = (-6 * 4) + (9 * -6) + (3 * -2) = -24 - 54 - 6 = -84, which is not 0, so they are not orthogonal. Since the vectors are not scalar multiples of each other, they are neither parallel nor orthogonal.

(d) For vectors a = (3i - j + 3k) and b = (3i + 3j - 2k), calculate the dot product:

a · b = (3 * 3) + (-1 * 3) + (3 * -2) = 9 - 3 - 6 = 0, so a and b are orthogonal.

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Answer:

9/28 and 32.1%

Step-by-step explanation:

So the sample space consists of all products for (5 * 1, 5 * 2, 5 * 3.... and the same thing for 6, 7, and 8)

This gives you the sample space: {5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36, 7, 14, 21, 28, 35, 42, 8, 16, 24, 32, 40, 48}.

The size of the sample space is 4 * 6, since for each number (5, 6, 7, 8), there are 6 products (the dice have six numbers). This means the sample space has 24 combinations, you can also verify this by manually counting the sample space.

Now filtering the sample space so you only get a product that is 28 or higher you get: {30, 30, 36, 28, 35, 42, 32, 40, 48} which has 9 possible combinations that have a product greater than or equal to 28. Divide this by the entire sample space and you get a probability of: 9/28, which in decimal form is approximately: \(0.3214\). Multiplying this by 100 gives you: \(32.1\)%

The statement that best describes the infοrmatiοn presented in the chart is: "The number οf hurricanes was increasing but has decreased in recent years."

Hurricanes, knοwn generically as trοpical cyclοnes, are lοw-pressure systems with οrganized thunderstοrm activity that fοrm οver trοpical οr subtrοpical waters. They gain their energy frοm warm οcean waters.

The chart shοws the number οf hurricanes οf categοry 1 οr higher that οccurred during specific series οf years, and it indicates that the number οf hurricanes increased frοm 13 in 1980-1989 tο 23 in 2000-2009, and then decreased tο 10 in 2010-2017.

Therefοre, the chart suggests that the number οf hurricanes was increasing, but it has decreased in recent years. The chart dοes nοt prοvide any infοrmatiοn abοut tοrnadοes in Finleyville οr the relatiοnship between the number οf hurricanes and temperature.

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The statement that best describes the information in the graph is: "The number of hurricanes has increased but decreased in recent years." The graph shows that the number of Category 1 or greater hurricanes increased from 1980 to 2009, but decreased from 2010 to 2017.

On substituting x= 9 in the above equation,

y= 9-5= 4

and, the y coordinate is also same i.e. 4

Yes.

It satisfies the equation.

I hope this helps you...

Hey there!

(x,y)

x = 9

y = 4

(9,4)

y = x - 5

➡️ 9 = 4 - 5

9 - 5

= 4

Therefore, this makes this statement TRUE

ANSWER: YES

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Remains on her gift card:

$3.07

Step-by-step explanation:

15 - ((2*2.65) + (2*1.79) + (1*3.05))

= 15 - (5.3 + 3.58 + 3.05)

= 15 - 11.93

= 3.07

Answer:

$3.07

Step-by-step explanation:

Ms. Gantt has a $15 gift card to Starbucks.

She buys 2 muffins for $2.65 each, = 2 × 2.65 = $5.3

2 hot chocolates for $1.79 each, = 2 × 1.79 = $3.58

and a juice for $3.05. = 1 × 3.05 = $3.05

Now,

$15 - $5.3 - $3.58 - $3.05 = $3.07

Thus, $3.07 remains on her gift card

Answer: .25

Step-by-step explanation:

Answer:

If you asking how much was shared from if the three friends and the .75 it would be .25 each because .75/3 is .25. But if your asking how much did the three friends eat if the .25 is what they split then the answer would be 1/12 or .08333333

Step-by-step explanation:

Given the following expression:

Recall: In dividing fractions, you convert the equation into multiplication and multiply the dividend by the reciprocal of the divisor.

We get,

The area of the parallelogram is 8 units², which is option (b).

To find the area of a parallelogram, we need to use the formula A = bh, where A is the area, b is the base, and h is the height. In this case, we can use the distance formula to find the base and height.

Base = distance between points P and Q
= √[(5-3)² + (3-3)²]
= √4
= 2 units

Height = distance between point P and the line containing points R and S. We can find the equation of this line by first finding its slope:

slope = (y2 - y1)/(x2 - x1)
= (7 - 7)/(9 - 7)
= 0

Since the slope is 0, the line is horizontal and has an equation of y = 7. Therefore, the height is the distance between point P and this line, which is:

Height = distance from point P to line y = 7
= |3 - 7|
= 4 units

Now we can plug in the values of b and h into the formula A = bh:

A = 2 x 4
= 8 units²

Therefore, the area of the parallelogram is 8 units², which is option (b).

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Answer:

x ≈ 28.3

Step-by-step explanation:

using the cosine ratio in the right triangle

cos45°= \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × cos45° = x , then

x ≈ 28.3 ( to the nearest tenth )

The two theoretical quantities of ANOVA (Analysis of Variance) are:
1. Between-group variance.

2. Within-group variance:

1. Between-group variance.

This is the variance that can be attributed to differences between the group means.

It is calculated by comparing the mean of each group to the overall mean of all the data points.

The larger the between-group variance, the more likely there are significant differences between the groups.
2. Within-group variance:

This is the variance that can be attributed to differences within each group, i.e., the individual differences among the data points in each group.

It is calculated by comparing the individual data points in each group to their respective group mean.

The smaller the within-group variance, the more likely the groups are homogeneous.
In ANOVA, these two quantities are compared using an F-ratio.

If the between-group variance is significantly larger than the within-group variance, it indicates that there are significant differences between the group means, and the null hypothesis can be rejected.

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Answer:

she has 228 in all. but i do not know how much she has after she ate some

To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

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False. Mendel's findings did lend support to the independent assortment idea.

Mendel's tests with pea plants demonstrated that the inheritance of one feature has no effect on the inheritance of another. The inheritance of seed color, for example, had no effect on the inheritance of seed form. This is known as the independent assortment principle.

Mendel's findings on the inheritance of two qualities at the same time confirmed this idea, as he discovered that the two features were inherited independently of each other. This supported the independent assortment hypothesis, which claims that various genes assort independently of one another during gamete production. Mendel's work with pea plants established the contemporary knowledge of genetics.

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Answer:

2 hours

Step-by-step explanation:

Time= 5 hrs

Ashley's speed= 40 mph

Beth's speed= 60 mph

Beth's time in travel= x

Since they drove the same distance, we have this equation:

Answer:

6

Step-by-step explanation:

because you add 3+3 together

Answer:

3+3=6

Step-by-step explanation:

Bc

if u think about it you could do 2+2+2

or you could 3+3

Colin's new mean score, after getting 6 runs on Sunday, is approximately 20.09.

To calculate Colin's mean score, we need to sum up all his scores and divide by the number of scores.

a) Mean score:

16 + 11 + 25 + 27 + 11 + 25 + 20 + 26 + 29 + 35 = 215

Total scores: 10

Mean score = 215 / 10 = 21.5

Colin's mean score is 21.5.

b) To calculate his new mean score after getting 6 runs on Sunday, we need to add the new score to the previous total and divide by the new number of scores.

New total scores = 215 + 6 = 221

New number of scores = 10 + 1 = 11

New mean score = 221 / 11 = 20.09 (rounded to two decimal places)

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Answer:The height of the roof in his house is 72.43 ft.

Step-by-step explanation:

The volume of square pyramid is :

B= area of the base.

h= the height.

Given that,

The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.

The side length of the base of the roof is 28 feet.

Since the base of the roof is square in shape.

The area of the square is = side²

The area of the base is =(28×28) square feet

                                      =784  square feet

Assume the height of the roof be h ft.

Then, the volume of the roof is =  

                                                   square feet.

According to the problem,

ft.

The height of the roof in his roof is 72.43 ft.

Step-by-step explanation:

A boxplot is a visual display that provides information about the distribution of a dataset. When we want to determine the percentage of data that falls within a certain range, we need to look at the boxplot and find the interquartile range (IQR). The IQR is the difference between the first and third quartiles, which contains the middle 50% of the data. So, approximately 50% of the data lie between 4 and 8 hours.

A boxplot shows the median, quartiles, and possible outliers. To determine the percentage of data that falls between two values, we need to calculate the proportion of the IQR that corresponds to this range. For example, if the IQR is from 2 to 10, and we want to know the percentage of data between 4 and 8, we need to calculate the proportion of the IQR that corresponds to this range. This can be done by subtracting the lower value of the range from the upper value and dividing by the IQR:

Proportion = (8 - 4) / (10 - 2) = 4 / 8 = 0.5

Therefore, approximately 50% of the data lie between 4 and 8 hours. The answer is (C) about 50%.

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Answer:

Slope: −2-2

y-intercept: (0,4)

Answer:

35

Step-by-step explanation:

You take 3 times 7 and that's 21. Then 2 times 7 and that's 14. So, 21+14=35