help me plz i have 2 min till i have to turn this in

Answer:

a = 1

b = 9

c = 23

d = 15

Step-by-step explanation:

Expand it out:

(x^2 + 4x + 3)(x+5)

(x^3 +4x^2 +3x + 5x^2 + 20x + 15)

=x^3 + 9x^2 + 23x +15

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a[tex]_{n}[/tex] = a + (n - 1)d

The formula of the sum of nth terms is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2a + (n - 1)d]

∵ An AP has a common difference of 3

∴ d = 3

∵ The nth term is 32

∴ a[tex]_{n}[/tex] = 32

→ Substitute them in the 1st rule above

∵ 32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

∴ a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

∴ S[tex]_{n}[/tex] = 185

→ Substitute the value of S[tex]_{n}[/tex] and d in the 2nd rule above

∵ 185 = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)3]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3(n) - 3(1)]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

∴ 370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

∴ 370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

∵ 370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

∴ 3n² - 67n + 370 = 0

→ Use your calculator to find n

∴ n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

∴ n = 10

∴ The value of n is 10

Answer:

89/160

Step-by-step explanation:

Total number of students= 320

Total number of students=x+y=320

Let x= number of boys

Let y= number of girls

If there are 36 more boys than girls:

36+y=x

x+y=320 ( given x= 36+y)

36+y+y=320

36+2y=320

2y=320-36

2y=284

y=284/2

y=142

Therefore number of girls=142

Since 36+y=x

36+142=x

x=178

Therefore number of boys =178

Fraction of students that are boys=

178/320

89/160

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Answer:

6 Students!

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

x = 30°

Step-by-step explanation:

Since 2 of the sides are congruent then the triangle is isosceles and the 2 base angles are congruent, both 75°

The sum of the 3 angles in a triangle = 180°, then

x = 180° - (75 + 75)° = 180° - 150° = 30°

Answer:

B and C are volume

A = area/perimeter

D = Perimeter

E = surface area

Answer:

1/2

Step-by-step explanation:

Let the coordinate points be (6,3) and (4,2)

Slope = y2-y1/x2-x1

x1 = 6, y1 = 3, x2 = 4 and y2 =2

Substitute

slope = 2-3/4-6

Slope = -1/-2

Slope = 1/2

Hence the slope of the coordinate is 1/2

Note that the other Coordinate was assumed

Answer:

Melanie = 24 years old

Raymond = 27 years old

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

6+6+6+6

Step-by-step explanation:

Perimeter of square is 24 m.

Perimeter of square = 4 × Side

[tex] \bf \implies \: \large \: 24 \: = \: 4 \: \times \: Side[/tex]

[tex]\bf \implies \: \: Side \: = \: \frac{24}{4} \\ [/tex]

[tex]\bf \implies \: \: Side \: = \: \cancel\frac{24}{4} \: ^{6} \\ [/tex]

[tex]\bf \implies \: \: Side \: = \: 6 \: meters[/tex]

Answer:

1/12

Step-by-step explanation:

Probability is a ratio derived as the number of possible outcomes divided by the total outcome.

On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)

= 3/6

The probability of rolling a 4  P(4)

= 1/6 (4 appears on one side)

Hence  the probability of rolling an even on the first roll and a four on the second roll

P(En4) = 3/6 * 1/6

= 3/36

= 1/12

Answer:

x=y^2-2

Step-by-step explanation:

This graph, is a parabola that opens to the right.

To answer this question, we just use the vertex form of a sideways parabola- x=a(y-k)^2+h.

In this case, the vertex is (-2, 0), and our value of a is 1, since it opens to the right.

This gives us: x=1(y-0)^2+(-2)

Which simplifies to: x=y^2-2.

Also, the answer to the previous two questions are wrong.

The D value (Domain) is actually [2, ∞)

The R value (Range) is actually "All real numbers" (-∞, ∞)

Let me know if this helps!

Answer:

64 lb = 29.029912 kg

Rounded to the nearest hundredth is 29.03 kg

hope this helps!

Answer:

He can plant 10 trees in 2 hours.

Step-by-step explanation:

First you need to find the number of trees he can plant in an hour.

For this purpose, we will divide 40 by 8 to get an idea about how many he can plant in an hour.

Trees planted in an hour = 40/8 = 5

Now for 2 hours = 5*2 = 10 trees.

Answer:

5

Step-by-step explanation:

In a 30  60 90 triangle the shortest side is considered to be half the hypotenuse. So in this case, 10 is the hypotenuse and 10/2 = 5.

Answer:

All answers in explanation...

Step-by-step explanation:

16: S = more shoes than Ruben   10+s

17: M = money spent on dinner  M-5

18: M = Mary's ringtones   3 + 2M

19: C = cost S= shoe rental    C = S + (3*4)

20:  C= cost   C + 12.75 + (4 * 3)

Hope this helps :)

Answer:

4.5 years ; (3.25, 4.75)

Step-by-step explanation:

Given that :

Mean , m = 4

Standard deviation, s = 0.75

The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67

Therefore, the upper quartile Q3:

Q3 = mean + 0.67 * standard deviation

Q3 = 4 + 0.67(0.75)

Q3 = 4 + 0.5025

Q3 = 4.5025

Q3 = 4.5 years

Range of values that contain the middle 68%

According to the empirical rule;

68% is within 1 standard deviation of the mean

Therefore ;

Interval will be ;

Mean ± 1 standard deviation

(4 - 0.75) ; (4 + 0.75)

(3.25, 4.75)

Answer:It's composite

Step-by-step explanation:It's composssssiiiiitttteeeee

Answer:

thx this really helps

Step-by-step explanation:

Answer:

0.47 for each orange

Step by step explanation:

because I divided 4.70 ÷ 10 and I came out to be 0.47

Answer:

C is your answer good sir

Answer:3/11

Step-by-step explanation:

5+5=10 u add one to the denominator making that 11 and the numartaor is 3

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

In 5 + In x = 1

In 5 + In x = In 10 (Because In 10 = 1)

In(5x) = In 10

5x = 10

x = 10/5

x = 2

Answer:

y-intercept: (0,)

0, 4e+151

809.366, 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Richard Brian puts $30 worth of gas in his truck and the price per gallon was $2.50.

The equation that can be solved to find the number of gallons Richard Brian's purchased will be the worth of gas in the truck divided by the price per gallon. This will be:

x = 30 / 2.50

where x = number of gallon.

= 12 gallons

Answer:

5

Step-by-step explanation:

Answer: 65.8

Step-by-step explanation:

First multiply 10 x 2=20

then you add 82 and 3.8 which is 85.8

then you subtract 20 from 85.8 and you get 65.8