Which could be the first step in solving the equation represented by the model below? 3 x tiles and 4 positive 1 tiles = 2 x tiles and 6 positive 1 tiles Add 4 negative unit tiles to both sides. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side. Add 4 positive unit tiles to both sides. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.

Answer:

who is that rich brat

Step-by-step explanation:

The Least common multiple (LCM)  The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.

The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.

To find the LCM, we can list the multiples of each interval until we find a common multiple.

Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...

Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...

From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.

Thus, the two bells will ring together every 45 minutes.

If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.

Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

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Answer:

im study about history it was my favourite subject!

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:

24 pounds of Rift Valley coffee

26 pounds of Mexican Shade Grown coffee

Step-by-step explanation:

If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:

R + M = 50

12.10 R + 13.10 M = 12.62 (50)

Substitute:

12.10 R + 13.10 (50 − R) = 12.62 (50)

12.10 R + 655 − 13.10 R = 631

R = 24

M = 26

Answer:

5-9.5=5+(-9.5)

.................

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.

Step-by-step explanation:

Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:

305 + 121 + 74 = 500

500 = 100

305 = X

305 x 100/500 = X

30,500 / 500 = X

61 = X

500 = 100

121 = X

121 x 100/500 = X

12,100 / 500 = X

24.2 = X

100 - 61 - 24.2 = X

39 - 24.2 = X

14.8 = X

Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.

Answer:

The Chi^2 value is 5.654. The p-value is .05919. The result is not significant at p < .05.

Step-by-step explanation:

To do this we need to do a goodness of fit chi-test

You can do it by hand or use a graphing calculator, but IMO using a calculator online is the easiest. Remember one sample is frequency while the other is in proportions so convert one to the other.

In other words if you're doing a proportions test divide 305/500 to get 0.61 and then plug that in next to the expected value of 0.65.

If you/re doing a frequency test, multiply 61% * 5 =325 and then plug that in next to 305.

Both a frequency and a proportion test will yield the same result so don't worry about which you choose.

Once you've plugged the values in you'll get a response like this:

The Chi^2 value is 5.654. The p-value is .05919. The result is not significant at p < .05.

The triangles are similar by SSS congruence of triangles.

What is SSS congruence of triangles?

The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.

We are given two triangle ABC and PQR.

In order to see whether these are similar or not, we will use the SSS congruence of triangles.

The ratio of sides are:

⇒AB : PQ = 8 : 6

⇒AB : PQ = 4 : 3

Similarly,

⇒BC : QR = 12 : 9

⇒BC : QR = 4 : 3

Similarly,

⇒AC : PR = 12 : 9

⇒AC : PR = 4 : 3

Since, the ratio of all the sides is same so, the triangles are similar.

Hence, the triangles are similar by SSS congruence of triangles.

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Since, there are multiple questions so, the question answered above is attached below

Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

What is measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and

170 when measured in a different unit.

We have to find the correct units from grams and ounces for these.

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

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Answer : The number of capfuls of liquid soap needed to fill the rectangular soap dispenser are 12.

Step-by-step explanation :

First we have to calculate the volume of soap dispenser which is a cuboid.

Volume of cuboid = l × b × h

where,

l = length of cuboid = 16 cm

b = width of cuboid = 9 cm

h = height of cuboid = 4 cm

Now put all the given values in the above formula, we get:

Volume of cuboid = 16 cm × 9 cm × 4 cm

Volume of cuboid = 576 cm³

Now we have to calculate the volume of cap which is a cylinder.

Volume of cylinder = π r² h

where,

r = radius of cylinder = 2 cm

h = height of cylinder = 4 cm

Now put all the given values in the above formula, we get:

Volume of cylinder = 3.14 × (2 cm)² × 4 cm

Volume of cylinder = 50.24 cm³

Now we have to calculate the number of capfuls of liquid soap are needed to fill the rectangular soap dispenser.

Number of capfuls of liquid soap needed =  \(\frac{\text{Volume of soap dispenser}}{\text{Volume of cap}}\)

Number of capfuls of liquid soap needed =  \(\frac{576cm^3}{50.24cm^3}\)

Number of capfuls of liquid soap needed = 11.46 ≈ 12

Therefore, the number of capfuls of liquid soap needed to fill the rectangular soap dispenser are 12.

Answer:

Step-by-step explanation:

In this scenario, the confidence interval represents the possible range of differences in the proportion of employees who skip breakfast when free breakfast is offered and when it's not. A confidence interval that does not include zero indicates that there is statistically significant evidence to suggest a difference in proportions between these two groups.

Therefore, for the first interval (-0.44,-0.16), since it does not include zero, we can be confident that offering free breakfast results in a decrease in the proportion of employees who skip breakfast.

For the second interval (-0.25, 0.05), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

Similarly, for the third interval (-0.23, 0.15), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

So, the correct answer is:

For the interval (-0.44,-0.16), we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

For the intervals (-0.25, 0.05) and (-0.23, 0.15), our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.

The standard deviation of the sample is 0.63

What is standard deviation?

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

To find the standard deviation of the sample, we need to first find the mean of the distribution. The mean of a distribution is given by the expected value of the random variable, which can be calculated as follows:

       \(E[X] = \int\limits {xf(x)dx}\)

Substituting the given pdf for f(x), we get:

     \(E[X] = \int\limits {x(x2 + Źosxs1)dx}\)

Evaluating the integral, we get:

   \(E[X] = (x3/3) + (Źosxs2/2) |0\\\\ E[X] = (1/3) + (0/2)\\\\ E[X] = 1/3\)

Next, we need to find the variance of the distribution. The variance of a distribution is given by the expected value of the squared deviation of the random variable from its mean, which can be calculated as follows:

\(Var[X] = E[(X - E[X])2]\)

Substituting the value of E[X] that we just found, we get:

Var[X] = E[(X - (1/3))2]

Var[X] = ∫((x - (1/3))2)(x2 + Źosxs1)dx

Evaluating the integral, we get:

Var[X] = ((x - (1/3))2)(x2 + Źosxs1) |0

Var[X] = ((1 - (1/3))2)(1 + 0) - ((0 - (1/3))2)(0 + 0)

Var[X] = (4/9)(1) - (1/9)(0)

Var[X] = 4/9

Finally, the standard deviation of the distribution is the square root of the variance, which is:

\(Std\ Dev[X] = \sqrt{Var[X]}\\\\ Std\ Dev[X] = \sqrt{(4/9) } \\\\Std\ Dev[X] = 0.63\)

Rounding off to the second decimal place, the standard deviation of the sample is 0.63.

Hence, The standard deviation of the sample is 0.63

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Step-by-step explanation:

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The table shows that 244 boys prefer fruit, and 156 girls prefer fruit. To find out how many more girls prefer fruit than boys, we need to subtract the number of boys who prefer fruit from the number of girls who prefer fruit:

156 - 244 = -88

The result is negative, which means that there are 88 more boys who prefer fruit than girls. Therefore, we can say that 88 more boys prefer fruit than girls.

The final rule for g(x) is g(x) = 3|3x| + 12.

To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.

So, the rule for g(x) is g(x) = 3f(x).

Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:

g(x) = 3f(x)

g(x) = 3(-|3x| - 4)

g(x) = -3|3x| - 12

This is the expression for g(x), which represents the transformed graph.

To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.

Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.

Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.

The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).

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Answer:

50

Step-by-step explanation:

2000/40=50

Answer:

The train travels 50 miles per hour

Step-by-step explanation:

You can solve this by dividing 2,000 by 40.

The pοlynοmial functiοn with a fifth degree, 2 as a zerο οf multiplicity 4, −3 as the οnly οther zerο, and a leading cοefficient οf 2 is:

\(f(x) = 2(x-2)^4(x+3) = 2x^5 - 32x^4 + 192x^3 - 384x^2 + 216x + 1080\)

What is Polynomial Function?

A pοlynοmial functiοn is a mathematical functiοn οf the fοrm \(f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0\), where the coefficients\(a_n, a_{n-1}, ..., a_1, a_0\) are constants, x is the variable, and n is a non-negative integer. It is a functiοn that can be graphed as a smοοth curve with nο breaks οr jumps.

If 2 is a zerο οf multiplicity 4, then the pοlynοmial functiοn must have the factοr\((x-2)^4\).

If −3 is the οnly οther zerο, then the pοlynοmial functiοn must alsο have the factοr (x+3).

The pοlynοmial functiοn with these properties and a leading cοefficient οf 2 can be written as:

\(f(x) = 2(x-2)^4(x+3)\)

Expanding this polynomial gives:

\(f(x) = 2x^5 - 32x^4 + 192x^3 - 384x^2 + 216x + 1080\)

Therefore, the polynomial function with a fifth-degree, 2 as a zero of multiplicity 4, −3 as the only other zero, and a leading coefficient of 2 is:

\(f(x) = 2(x-2)^4(x+3) = 2x^5 - 32x^4 + 192x^3 - 384x^2 + 216x + 1080\)

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The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

v(0) = 19,900, v(11) = 3,787.36

Step-by-step explanation:

v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000

v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

\(y=-\frac{2}{5} x+\frac{36}{5}\)

Step-by-step explanation:

→ Find the gradient

\(\frac{4-6}{8-3}= \frac{-2}{5} =-\frac{2}{5}\)

→ Write into y = mx + c format

\(y=-\frac{2}{5} x+c\)

→ Substitute in ( 3 , 6 )

\(6 = -\frac{6}{5} +c\)  ∴ \(c = 6+\frac{6}{5} =\frac{36}{5}\)

→ Rewrite into y = mx + c format

\(y=-\frac{2}{5} x+\frac{36}{5}\)

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

Answer: 3

Step-by-step explanation:

Median is a statistical measure that determines the middle value of a dataset listed in ascending order.

arranged data  is   0,1,2,3,3,5,9,12

number of data terms=8

if data is  even then

median=(3+3)/2=3

Answer:

B. 1 pound, 8 ounces!

Step-by-step explanation:

12 x 2ounces =24 ounces

16 ounces is one pound so 24-16=8 ounces left over. 1 pound, 8 ounces

Answer:

7 is the answer hope this helps

Answer:

\(P(R\ or\ odd\ Numbered)=5/7\)

Step-by-step explanation:

From the question we are told that:

Number of Red Marble \(n_r=6\)

Number of Blue Marble \(n_b=8\)

Sample size \(n=n_r+n_b\)

\(n=6+8\)

\(n=14\)

And

No of red or Odd numbered \(x= 6+4 = 10\)

Generally the equation for  probability the marble is red or odd numbered. is mathematically given by

\(P(R or odd Numbered)=x/n\)

\(P(R or odd Numbered)=10/14\)

\(P(R\ or\ odd\ Numbered)=5/7\)

Answer:

2(4 + X)

2*4 + 2*X

8+2X

thank you

Step-by-step explanation:

hope my answer is helpful to you

Answer:

2(4+X)

2(4)+2(x)

⭕ 8+2x or 2x+8

Step-by-step explanation:

correct me if I am wrong

Answer: the total direct cost of one item is $0.47.

Step-by-step explanation:

If the packaging employee makes $14 per hour and can package 200 items in one hour, the direct labor cost per item would be:

Direct labor cost per item = Hourly wage rate / Number of items packaged per hour

Direct labor cost per item = $14 / 200

Direct labor cost per item = $0.07

The direct material cost per item is given as $0.40.

Now we can calculate the total direct cost per item:

Total direct cost per item = Direct labor cost per item + Direct material cost per item

Total direct cost per item = $0.07 + $0.40

Total direct cost per item = $0.47