What is the value of y in the equation 2(4y - 1) = 6? (4 points)​

The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

Recall:

The slopes given shows are:

-1/2, 3/2, -1/2, and 3/2

This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.

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The intersection of A and B' is an empty set because there are no elements that are in both A and B'. The correct answer is (option E) the empty set.

What is a set ?

A set is a collection of distinct objects, called elements or members, that are well-defined and unordered.

We can start by finding the complement of set B, which consists of all the elements in U that are not in B:

B' = {r, t, v, x, z}

Then, A ∩ B' consists of all the elements that are in A and also in B':

A ∩ B' = {u, w, y} ∩ {r, t, v, x, z} = { }

Therefore, The intersection of A and B' is an empty set because there are no elements that are in both A and B', the correct answer is (option E) the empty set.

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Answer:

m<DEF = 47°

Step-by-step explanation:

Given:

m(DEF) = 266°

Required:

m<DEF

Solution:

m<DCF = ½(m(DEF)) (Inscribed angle theorem)

Substitute

m<DCF = ½(266°)

m<DCF = 133°

Opposite angles in an inscribed quadrilateral are supplementary.

Therefore,

m<DEF = 180° - m<DCF

m<DEF = 180° - 133°

m<DEF = 47°

Answer: A

Step-by-step explanation:

1. Divide the price of the raisins by the ounce

                     __

2.98 / 6 = .496

7.18 / 13 = .5523

2. round to the nearest hundredth

.50

.55

3. The lowest unit cost is your answer

Given:

Base area of a prism = 27 cm²

Height of the prism = x cm

Volume of the prism = 378 cm³

To find:

The length of x.

Solution:

We know that,

\(\text{Volume of prism}=Bh\)

where, B is base area and h is height of the prism.

Putting the given values, we get

\(378=27\times x\)

Divide both sides by 27.

\(\dfrac{378}{27}=x\)

\(14=x\)

Therefore, the length of x is 14 cm.

Answer:

2 hours

Step-by-step explanation:

add the time before and after adding 30 mins. (1 hour and 45 minutes/ 2 hours and 15 mins.) then divide by 2

The area of the shaded sector is 27 π  units squared.

In geometry, a sector in a circle is a region bounded by two radii and an arc of the circle. The two radii define the boundaries of the sector, and the arc connects these two radii, forming a portion of the circle's circumference. The center of the circle is located at the intersection of the two radii that bound the sector.

The formula for the area of a sector in a circle is given by:

Area of a sector = (central angle/360⁰) x area of the circle

The area of a circle is given by:

Area = πr²

Where r = radius.

Hence,

Area of a sector = (central angle/360⁰) x πr²

Information available from the pciture:

central angle = 120⁰

r = 9 units

Hence,

Area of the sector = ( 120⁰/360⁰) x π x 9²

                              = ( 1/3) x π x 81 = 27 π  units squared

The picture in your question is missing, most likely it was like on the attached picture.

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Answer: the answer is B 27π units²

Step-by-step explanation: it is show below.

As per the temperature, the population of Salmonella bacteria in the salad will double approximately every 2.87 hours if the conditions for growth remain constant.

The population of Salmonella bacteria can increase over time if they have the necessary nutrients and temperature for growth. In this case, we have a cutting board contaminated with Salmonella bacteria, which ends up in a salad. The number of bacteria present in the salad after t hours is given by the formula S(t) = 250 x 6t, where t is the time in hours.

To understand how often the population of bacteria doubles, we need to look at the growth rate of the bacteria.

To calculate the doubling time, we can use the formula Td = ln(2) / r, where Td is the doubling time, ln is the natural logarithm, and r is the exponential growth rate. In this case, the growth rate can be found by taking the derivative of S(t) with respect to t, which gives us r = 6ln(6).

Plugging in the values, we get Td = ln(2) / 6ln(6) = 2.87 hours

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Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

The total number of zip-codes that have exactly 4 different digits is 20,160.

A zip-code is any 5-digit number, where each digit is an integer 0 through 9. For example, 92122 and 00877 are both zip-codes.

In order to have a zip-code with exactly 4 different digits, we need to make a 5-digit number using 4 different digits.

The first digit of the 5-digit number can be any of the 10 digits (0-9).

The second digit of the 5-digit number can be any of the 9 digits remaining (since we have to use only 4 digits).

The third digit can be any of the 8 digits remaining (since we have to use only 4 digits).

The fourth digit can be any of the 7 digits remaining (since we have to use only 4 digits).

The fifth and final digit has to be the same as one of the previous four digits.

Therefore, the total number of zip-codes that have exactly 4 different digits is:

10 × 9 × 8 × 7 × 4 = 20,160

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Answer:

When a point gets reflected across the x-axis, the sign of its y-coordinate changes so the coordinates of Q' are (3, 4).

3 and -4

Step-by-step explanation:

hope this helps!

The vertical distance through which the car rises is 16.7 m

"It is a triangle whose one of the angle is 90°."

In right triangle, for angle 'x',

sin(x) = (opposite side of angle x)/hypotenuse

For given example,

Consider the following figure for given situation.

A car travels 120 m along AC.

ΔABC is right triangle with hypotenuse AC.

∠C = 8°

Consider sine of angle C,

\(\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m\)

Therefore, the vertical distance through which the car rises is 16.7 m

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As per the question, 33 boys tried the track and 87 boys didn't, whereas 12 girls tried the track and 68 girls didn't.

Total number of boys = 120

Total number of girls = 80

Students who tried out for track = 45

Students that were girls = 45

If 12 were girls, therefore,

Total number of boys -

= 45 - 12

= 33

This means that 33 boys tried the track

Now, since 12 girls tried the track

Boys who did not try the track -

= 120 - 33

= 87

Girls who did not try the track -

= 80 - 12

= 68

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Answer:

15

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

For the given statement about hundredth digit of the given decimal z the following statement is true:

Option E. statement (1) and (2) together are not sufficient.

As given in the question,

Let us consider decimal z is represented by k.lmn

Here hundredth digit of z is equal to m

Now,

(1) The tenths digit of 100z is 2.

100z

= 100(k.lmn)

=klm.n

This implies n = 2

(2) The units digit of 1,000z is 2.

1,000z

= 1,000(k.lmn)

= klmn

This implies n =2

From both the statements we are getting the value of n which is not sufficient to get the value of required 'm'.

Therefore, Option E is the correct answer which shows both the statements are not sufficient to get the value required hundredth digit of decimal z.

The complete question is:

What is the hundredths digit of the decimal z ? (1) the tenths digit of 100z is 2. (2) the units digit of 1,000z is 2.

A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

C. Both statements together are sufficient, but neither statement alone is sufficient.

D. Each statement alone is sufficient.

E. Statements (1) and (2) together are not sufficient.

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Answer:

1.60078105936

Step-by-step explanation:

Answer: 40.0 ul = 0.000039999999999999996 L

Explanation: 40.0 ul/1,000,000=0.000039999999999999996

First number is 63 and second number is 197 when the number 260 is separated into two parts so that the first part is eight more than three times the second part.

In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.

Given,

The number 260 is separated into two parts so that the first part is eight more than three times the second part

Let the numbers be x and 3x +8

Sum = 260

Equation:

260 = x +(3x+8)

260 = 4x + 8

260 - 8 = 4x

256 = 4x

x = 63

First number is 63 and second number is 197 when the number 260 is separated into two parts so that the first part is eight more than three times the second part.

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The appropriate choice about the display technique in case of two continuous variables is the scatter plot.

A scatter plot is a graph used to plot two variables, usually as the horizontal and vertical axis, to check for a correlation or connection between them.What is a variable?A variable is a statistical concept that is used to measure the characteristics of a population or a sample.

A variable is an attribute or a feature of an object, event, or person that can be quantified or described numerically. The pie chart is appropriate when you want to display a distribution of a continuous variable. But this technique is not appropriate in this case because you cannot see the distribution of a single continuous variable using a pie chart. A pie chart is best suited for showing percentages of a whole.C.E. A scatter plot is a graphical representation of the relationship between two variables. This technique is appropriate when you want to display two continuous variables. A treemap is best suited for showing the distribution of one categorical variable. F. A pie chart is appropriate when you want to display the distribution of a single continuous variable. A contingency table is appropriate when you want to display the frequency distribution of one categorical and one continuous variable.

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The key difference between two student submissions is not specified in the question. To demonstrate that a student-submitted image or transcription is unbiased, certain assumptions need to be met. Understanding the practical implications of unbiasedness is crucial.

The question does not provide information about the specific differences between the student-submitted image and transcription. However, to establish that a student submission is unbiased, several assumptions need to be satisfied. These assumptions typically include random sampling, the absence of systematic errors or biases in the data collection process, and the independence of observations. If these assumptions are met, it suggests that the student submission accurately represents the underlying population or phenomenon being studied.

Practically, unbiasedness means that the student-submitted image or transcription provides an accurate and representative depiction of the information or data being examined. It indicates that the student's work is not influenced by any systematic errors or biases that could skew the results or distort the information. This is important in research or data analysis to ensure the validity and reliability of the findings and conclusions drawn from the student's submission.

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Answer:

Sum = 9a + 45d = 108. Or a + 5d = 12. Hence 6th term = 12. SUFFICIENT.

The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Answer: Combined means to add so you are going to add anything over 1 because it says longer than 1

1 1/4  has 2 marks so you add 1 1/4 + 1 1/4 =

they have like denominators so you can add them together

1 + 1 = 2 and 1/4 + 1/4 = 2/4 which can be reduced to 1/2

so your answer is 2 1/2

Step-by-step explanation:

1. The scalar equation of the line can be found by using the point-slope form of the equation. In this case, the given line passes through the point (-3,4) and has a direction vector of (4,-1). Using these values, we can write the scalar equation of the line.

2. The distance between the skew lines can be found using the formula for the distance between two skew lines. By finding the closest points on each line and calculating the distance between them, we can determine the distance between the two lines.

3. To determine the parametric equations of the plane containing point P(2, -3, 4) and the y-axis, we can use the point-normal form of the equation of a plane. By finding the normal vector of the plane and using the point P, we can write the parametric equations of the plane.

1. To find the scalar equation of the line, we use the point-slope form of the equation, which is given by:

r = a + t * b,

where r represents a point on the line, a is a point on the line, t is a scalar parameter, and b is the direction vector of the line. In this case, the given line passes through the point (-3,4) and has a direction vector of (4,-1). Plugging in these values, we get:

r = (-3,4) + t * (4,-1)

.

This is the scalar equation of the line.

2. To find the distance between the skew lines, we need to find the closest points on each line and calculate the distance between them. Given the two lines:

L1: r = (4,-2,-1) + t * (1,4,-3),

L2: r = (7,-18,2) + u * (-3,2,-5).

We can find the closest points by setting the vector connecting the two points on the lines to be orthogonal to both direction vectors. Solving this system of equations will give us the values of t and u corresponding to the closest points. Once we have the closest points, we can calculate the distance between them using the distance formula.

3. To determine the parametric equations of the plane containing point P(2, -3, 4) and the y-axis, we can use the point-normal form of the equation of a plane, which is given by:

n · (r - a) = 0,

where n is the normal vector of the plane, r represents a point on the plane, and a is a known point on the plane. In this case, the y-axis is parallel to the plane, so the normal vector of the plane is perpendicular to the y-axis. Therefore, the normal vector is given by (0,1,0). Plugging in the values of the normal vector and the point P(2,-3,4), we get:

(0,1,0) · (r - (2,-3,4)) = 0.

Expanding and simplifying this equation will give us the parametric equations of the plane.

In summary, the scalar equation of the line, the distance between the skew lines, and the parametric equations of the plane can be found using the appropriate formulas and calculations based on the given information.

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The probability of all four women being on the search committee as members in it is 1/273.

We have 15 people in total out of which there are 10 men and 5 women. We need four people on the committee out of these 15.

The probability of that happening can be calculated using the formula -

= Probability of all four women getting selected/Probability of all getting selected

= (5!/4!.1!) / (15!/4!11!)

= (5!/4!1!) * (4!11!/15!)

= (5*4*3*2*1) / (15*14*13*12)

= 1/273

From this, we know that if we need to have all four women as members of the search committee, the probability of that happening is 1/273.

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Answer:

(a): 46 degrees

(b): 63 degrees

(c): 27 degrees

(d): 60 degrees

Step-by-step explanation:

Answer:

a=100, c=44

Step-by-step explanation:

# of adult tickets is represented by a

# of child tickets is represented by c

C+A=144

9a+6c=1164

system of equations is solved by solving 1 equation for 1 variable first.

c=144-a

plug in c in the second equation

9a+6(144-a)=1164

9a+864-6a=1164

combine like terms

3a=300

a=300/3

a=100

now we know a is 100 we can plug it into the original equation of c=a=144

c+100=144

c=144-100

c=44

Answer:

If p(x) = ax²

-3x+10

p(-2) =

f(g(-2))

Answer with  explanation:

Given: An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time.

a) population: A large group of observations have characteristics related to the point of the study.

Here, population: "All flights operated by the company"

b) Sample: It is a subset of the population.

Here, Sample: "5 flights from yesterday"

(c)

Since the number of flights per day operated by an airline company is much larger than 5 ( generally in hundreds).

i.e. the sample is too small to be able to assure that the results are true.

Hence, this is not a representative sample.

(d) To determine the percentage of their flights that are on time we use the following formula:

(Number of flights are on time) ÷ (Total flights) x 100