Here are two similar rectangles. Work out the area of the larger rectangle

Answer:

p ( 15p - 7)

Step-by-step explanation:

15 p^2 - 7p

The only common term is p so factor out p

p ( 15p - 7)

____________________________

15p^2-7p

take the common,

Ans: p(15p-7)

hope it helps

Good luck on your assignment

__________________________

Answer:

The correct statement is (C).

Step-by-step explanation:

The data for the number of hours per week they spend working at part-time jobs by 20 juniors and seniors at Delmar high school is:

Juniors: 20, 10, 20, 10, 15, 0, 0, 10, 20, 15

Seniors: 20, 20, 10, 10, 0, 0, 0, 10, 0, 10

Compute the mean of both the data:

[tex]\mu_{J}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iJ}}[/tex]

     [tex]=\frac{1}{10}\times [20+10+20+10+15+0+0+10+20+15]\\\\=\frac{120}{10}\\\\=12[/tex]

[tex]\mu_{S}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iS}}[/tex]

     [tex]=\frac{1}{10}\times [20+ 20+10+10+0+0+0+10+0+10]\\\\=\frac{80}{10}\\\\=8[/tex]

Compute the range of both the data:

[tex]Range_{J}=Max._{J}-Min._{J}[/tex]

            [tex]=20-0\\=20[/tex]

[tex]Range_{S}=Max._{S}-Min._{S}[/tex]

            [tex]=20-0\\=20[/tex]

It can be seen that the range of both the data is same, i.e. 20.

Thus, the correct statement is (C).

Answer:

the answer is D

Step-by-step explanation:

Because of how the students grade ar goung not down but up were the y or x

The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.

The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.

If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.

Find out more on straight-line relationships between variables at https://brainly.com/question/1078661.

#SPJ2

Answer:

y = 11.2 in.

Step-by-step explanation:

To solve this question we will use the theorem of intersecting secants and tangents.

"If a secant and a tangent are drawn to a circle from an external point then length of tangent is the geometric mean between the length of external segment of the secant and the length of the secant."

By this theorem,

5(5 + y) = (9)²

y + 5 = [tex]\frac{81}{5}[/tex]

y = 16.2 - 5

y = 11.2 in

Therefore, y = 11.2 in. will be the answer.

Answer:

11.2

Step-by-step explanation:

i got it right online

Answer:

The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south

The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East

Step-by-step explanation:

The parameters given are;

The latitude of Liverpool is 53.41°

The longitude of Liverpool is -2.99°

The latitude of Melbourne is -37.81°

The longitude of Melbourne is 144.96°

The change in latitude from Liverpool to Melbourne = Δφ

Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south

The change in longitude from Liverpool to Melbourne = Δλ

Δλ = -2.99° - 144.96°  = -147.95°

Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.

Answer:

the difference in latitude is 91.22°

the difference in longitude is 147.95°

Explanation:

For Liverpool, London. The latitude is 53.41°, longitude is -2.99°

For  Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°

The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).

The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)

the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°

Answer:

True

parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .

No, All trapezoids are not parallelograms.

We know that,

Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.

Hence, By definition of trapezoids,

All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

Learn more about Trapezoid visit:

https://brainly.com/question/1410008

#SPJ6

Answer:

52 people

Step-by-step explanation:

Answer:

The side lengths of triangle ABC are 6, 6.67 and 5.33

Step-by-step explanation:

In this question, we are interested in calculating the lengths of triangle ABC

ED: AC = 3:4

4.5:AC = 3:4

4.5/AC = 3/4

3AC = 4 * 4.5

3AC = 18

AC = 18/3 = 6

EB:AB = 3:4

5/AB = 3/4

3AB = 4 * 5

3AB = 20

AB = 20/3 = 6.67

DB:CB = 3/4

4/CB = 3/4

3CB = 4 * 4

CB = 16/3 = 5.33

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

a. 63 ft²

Step-by-step explanation:

A= 1/2(b1+b2)h

Answer:

[tex]63 {ft}^{2} [/tex]

Answer A is correct

Step-by-step explanation:

[tex]area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (7 + 14) \times 6 \\ = \frac{1}{2} \times 21 \times 6 \\ = \frac{126}{2} \\ = 63 {ft}^{2} [/tex]

hope this helps

Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

Answer:

-2 = not in domain

0= in domain

3= in domain

Answer:

Bison, by 10 mph

Step-by-step explanation:

Convert ft/min to mi/hr.

3520 ft/min × (1 mi / 5280 ft) × (60 min / hr) = 40 mi/hr

The bison is faster than the deer by 10 mph.

Perpendicular slopes multiply to -1, so are negative reciprocals.

-1 / -3 = 1/3

Answer: B.  1/3

Answer: -1/2

You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.

Answer:

Step-by-step explanation:

7x + 3 = 3x + 35

4x + 3 = 35

4x = 32

x = 8

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

Answer:

The expression b/(a +b) does not exist when a = -b or b = -a

Step-by-step explanation:

The expression b/(a + b) does not exist if the denominator a + b = 0.

So, a = - b or b = -a.

So, the expression b/(a + b) does not exist when a = -b or b = -a.

When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.

When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.

So the expression b/(a +b) does not exist when a = -b or b = -a

Answer:

hdhufhduh

Step-by-step explanation:

d. is a rational number.

Because it shows halfs and and halfs is a ratio.

And it shows this symbol (/)

Answer:

The answer is D.

Step-by-step explanation:

Rational number is a number that can be written in the form of fraction, a/b .

Integer is a positive or negative number.

Answer:

a. [tex]8x^{2} -14x-15[/tex]

b. [tex](x+3)(x+2)[/tex]

Step-by-step explanation:

A. There are 3 methods (that I know of). The easiest method is the lattice multiplication, while the most commonly used is the FOIL method (First+Outer+Middle+Last)

For F, take the first terms of the 2 and multiply

[tex]4x*2x=8x^{2}[/tex]

For O, take the outer terms and multiply

[tex]4x*-5=-20x[/tex]

For I, take the inner terms and multiply

[tex]3*2x=6x[/tex]

For L, take the last terms and multiply

[tex]3*-5=-15[/tex]

After that, add all of them up

[tex]8x^{2} +(-20x)+6x+(-15)=8x^{2}-14x-15[/tex]

B. Since the equation is in the form x^2+bx+c,

[tex](x+?)(x+?)[/tex]

Now we need to find 2 numbers that will add up to 5 and multiply to 6.

Here are some of the combinations of numbers that multiply to 6

3*2

1*6

-3*-2

-1*-6

3 and 2 add up to 5 so:

[tex](x+3)(x+2)[/tex]

Answer:

Blue

Step-by-step explanation:

I just got this question correct

Answer:

Blue

Step-by-step explanation:

Answer: 529 possible outcomes

Step-by-step explanation:

You square the number of games as many times as the outcomes (win or loss)

2 outcomes = 23 * 23

23 * 23 = 529

Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.

Answer:

The cylinder is cheaper to make because it has less surface area.

Step-by-step explanation:

In order to find the surface area of a cylinder, you do 2πrh+2πr²

We need the radius, which is half of the diameter, so then we have 2π(3·12)+2π·3² which gets us 282.72

We also need the surface area of the rectangular prism which we can get by 7x4 + 7x4 + 12x7 + 12x7 + 12x4 + 12x4 which gets us 320

282.72 < 320

Answer:

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Step-by-step explanation:

Step(i):-

Given students created 19 clay objects, 12 of which were vases

probability of successes

                            [tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]

q  = 1 - p = 1 - 0.6315 = 0.3685

Step(ii):-

Given  n = 16

Let 'X' be the random variable in binomial distribution

[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]

The probability that exactly 11 of the chosen clay objects are vases

[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]

we will use formula

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]

[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]

[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]

P(X = 11 ) = 0.16472

Conclusion:-

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Answer:

A is the answer

Step-by-step explanation:

5(2x+1)<10

10x+5<10

     -5  -5

____________

     10x<5

   ——   —-

    10      10

———————-

    x < 1/2

Answer:

a.x<1/2

Step-by-step explanation:

5(2x+1)<10

2x+1< 5/10

2x+1<2

2x<2−1

2x<1

x< 1/2

mark brianliest if my answer suit your question

Answer: 20.058

Step-by-step explanation:

401.16 x 0 05

= 20 058

[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.

Given :

The following steps can be used in order to determine the measure of angle b:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

[tex]\angle Q + \angle P + \angle R = 180[/tex]

[tex]\angle Q + 2\angle R = 180[/tex]

[tex]2\angle R = 180-60[/tex]

[tex]\angle R = 60^\circ[/tex]

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

[tex]\angle P + \angle S + \angle R = 180[/tex]

[tex]\angle S + 2\angle R = 180[/tex]

[tex]2\angle R = 180-90[/tex]

[tex]\angle R = 45^\circ[/tex]

Step 4 - Now, the measure of angle b is calculated as:

[tex]\angle b = 60-45[/tex]

[tex]\angle b = 15^\circ[/tex]

The measure of angle b is 15 degrees.

For more information, refer to the link given below:

https://brainly.com/question/7915845

Answer:

Step-by-step explanation:

Hello,

This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.

Budget = 69.1 billion

Converting this to scientific form = 6.91×10¹⁰

Population = 11.67 million

Converting this to scientific form = 1.167×10⁷

Budget per capita refers to budget allocated to each individual in the population.

Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.

Budget per capita = budget / total population

Budget per capita = 6.91×10¹⁰ / 1.169×⁷

Budget per capita = 5911.03

What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03

Answer: A Collecting data

Step-by-step explanation:

just did the quiz