solve for x. x+y = 14

Answer:

B and E

Step-by-step explanation:

2x²-7x+3=0

2x²-x-6x-3=0

x(2x-1)-3(2x-1)=0

(x-3)(2x-1)=0

x=3 or x=1/2

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

Answer:

A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

This is written in the form

y= mx+b

where m is the slope and b is the y intercept

3 is the slope and -4 is the y intercept

Answer:

Step-by-step explanation:

true true false

Answer:

1140 and 1150

Step-by-step explanation:

If your rounding to the tens place.

The rule for rounding is to look at the digit before the one you want to round to.

So if you want to round to the nearest tens, then look at the ones.

If the digit is 0-4 round down. If 5-9 round up.

1143 rounds to 1140 because of the 3

and 1149 rounds to 1150 because of the 9.

Answer:

1200  and 1100

Step-by-step explanation:

Tony rounded each of the numbers 1183 and 1145 to the nearest hundred.

To round the number to nearest hundred , check the digit in tens place.

If the number in tens place is greater than or equal to 5 then we add 1 in hundreds place

If the number in tens place is less than 5 then we replace the remaining digits by 0

In 1183, we have 8 in tens place so 1183 is rounded to 1200

In 1145, we have 4 in tens place so 1145 is rounded to 1100

Answer:

  C. correct, but can be further simplified

Step-by-step explanation:

Elliot's work is correct, but he apparently failed to recognize that 64 = 8². The radical could be simplified to ...

  √64 = 8

Answer:

c

Step-by-step explanation:

got it right

Answer:x=7 x=-3

Step-by-step explanation:

(x-2)^2=25

Take the Square root of both sides

(x-2)=±√(25)

x-2=±5

x=2±5

x=2+5 or x=2-5

x=7 or x=-3

The solution for the given equation is x=26 and x=16.

The given equation is (x − 21)² = 25.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

(x − 21)² = 25

⇒ (x − 21)=±√25

⇒ (x − 21)=±5

⇒ x=±5+21

⇒ x=5+21 and x=-5+21

⇒ x=26 and x=16

Therefore, the solution for the given equation is x=26 and x=16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Answer:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Step-by-step explanation:

Both variable can be rewritten into polar form:

[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]

The complex product is equal to:

[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]

[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]

The resultant expression in rectangular form is:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Answer:

The correct question is:

Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].

(Note: the angles mentioned in the equations above are in degrees)

The answer is [tex]z_{1}.z_{2}= 2i[/tex]

Step-by-step explanation:

[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]

[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]

[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]

[tex]z_{1}.z_{2}= 2i[/tex]

Answer:

The value of the first quartile is 13.

Step-by-step explanation:

0    0 0 5 8

1     2 3 5 8 8 9

2    2 4 6 7 7 7

3    3 5 6

4    2 4 6

5    7

Its median is greater than its mode.

median is 12th data point = 24  mode = 27  false

It has a range of 52 pages.  

range is largest minus smallest = 57-0 = 57  false

The value of the first quartile is 13.

There are 11 data points 11/2 = 5.5 = 1st quartile is 6th data point = 13

The data is symmetric.

it is not symmetric

Answer:

C) The value of the first quartile is 13.

Step-by-step explanation:

Answer:

Step-by-step explanation:

m−^8p^0

=1/m^8

Answer:

x = -3  ±sqrt(27)

Step-by-step explanation:

x^2 +6x = 18

Take the coefficient of x

6

Divide by 2

6/2 =3

Square it

3^2 = 9

Add this to each side

x^2 +6x+9 = 18+9

6/2 or 3 is what is inside the (x+   )^2 on the left

(x+3) ^2 = 27

Take the square root of each side

sqrt((x+3) ^2) = ±sqrt(27)

x+3 = ±sqrt(27)

Subtract 3 from each side

x+3-3 = -3  ±sqrt(27)

x = -3  ±sqrt(27)

Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

Answer:

Probability of students who plays both baseball and basketball is [tex]\frac{2}{25}[/tex]

Step-by-step explanation:

We have given total number of students = 25

5 of them play basket ball 10 of them plays base ball

there are 12 students who neither play baseball nor basket ball

So the number of students who play either baseball or basketball is

[tex]n(A\cup B)=25-12=13[/tex], here A is for basketball and B is for baseball.

From set theory we know that

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]13=5+10-n(A\cap B)[/tex]

[tex]n(A\cap B)=2[/tex]

Therefore there are two students who play both baseball and basketball

Probability is equal to [tex]=\frac{2}{25}[/tex]

Answer:

24/36 = 12 x 2/12 x 3 = 2/3.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

since she wants to keep 300 in her account first you would subtract 300 from 600 to get 300. Then you would divide it by 20 to get 15 so your answer would be a because she want's to keep at least 300 in her account.

Answer:

The mean cholesterol levels

= 173873.7

Step-by-step explanation:

For The mean

The mean is going to be sum of the numbers divide by the number

Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10

Mean =1738737/10

= 173873.7

For Median

Wee arrange ascending order

130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240

Median = (165165+170170)/2

Median = 335335/2

Median = 167667.5

Mode = 130130

Answer:

Step-by-step explanation:

d = 16 cm

r =16/2= 8 cm

Total surface area = 3πr² cubic units

= 3 * 3.14 * 8 * 8

= 602.88

= 603 cm²

Answer:

12

Step-by-step explanation:

Just substitute 60 for a and divide it by 5

Ta Da!!

Answer:

A: (-5,2)

Step-by-step explanation:

algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula

Answer:

It would be 2 x the absolute value of the y coordinate.

Step-by-step explanation:

Example:

(5,-3)

Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.

Answer:

  SAS

Step-by-step explanation:

Sides WV and XV on either side of angle WVX have been shown to be congruent to their corresponding parts. When you're concerned with a Side, Angle, and Side in that geometrical sequence, the SAS theorem is applicable.

Answer:

96 square feet

Step-by-step explanation:

Area= length x width

So for the rug it would be 12x8

12x8=96

Answer: C(x) = 2000+ 0.05 x

Step-by-step explanation:

Hi, to answer this question we simply have to apply the next formula:

Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.

Answer:

The final percent would be (10/100) x (20/100) x (30/100) =  0.006 = 0.6%

Answer:3/500

Step-by-step explanation:

10% of 20% of 30%

10/100 of 20/100 of 30/100

1/10 x 1/5 x 3/10

(1x1x3)/(10x5x10)

3/500

Answer:

12.8

12 1/2

12 2/5

12.09

Answer:

The slope of the line is 14 pounds per day

Step-by-step explanation:

We are given that The local hiking club went on a 7-day hiking trip to Denali National  Park.

The group started with 98 pounds

We are also given that the decreasing amount of food each day is modeled by a linear  function

On Day 1  amount of food = 98 pounds

Since day 7 was the last day

So, On Day 8 amount of food = 0

So,[tex](x_1,y_1)=(1,98)[/tex]

[tex](x_2,y_2)=(8,0)[/tex]

Slope = Constant Rate of change per unit

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{0-98}{8-1}[/tex]

So, Slope =[tex]\frac{-98}{7}[/tex]

Slope = - 14

Negative sign shows decreasing amount of food each day

Hence the slope of the line is 14 pounds per day

Answer:

50,000 thousands make a crore.

Step-by-step explanation:

One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.

Answer:

1. The circumference of the circular base of the conical hat is 52.36 inches

2. The surface area of the cone that needs to be covered is  262 in.²

Step-by-step explanation:

Here we have that the given parameters are;

Diameter, D of circular = 20 in. = 2 × radius R, of the circle

R = 10 in.

Cut out section of cut out sector of circle = 60°

Therefore, circumference of the circular base = π×D×(360 - 60)/360 which gives;

The circumference of the circular base of the conical hat = π×20×(30)/36 = π·50/3 = 52.36 in.

Therefore, the radius of the formed cone = π·50/3/(2·π) = 25/3 = [tex]8\tfrac{1}{3}[/tex] = 8.33 in.

The formed cone satisfies the equation;

R² = h² + r²

Where:

h = Height of the cone

r = radius of the cone

∴ 10² = h² + 8.33²

∴ h² = 10² - 8.33² = 30.56 in.

The lateral surface area of the cone = π×r×l where l = R, we therefore have;

The lateral surface area of the cone = π×8.33×10 = [tex]\pi \cdot 8\tfrac{1}{3}[/tex] = 261.8 in.² = 262 in.².

The surface area of the cone that needs to be covered = The lateral surface area of the cone = 262 in.².

Answer:

8m(4 + 7p)

Step-by-step explanation:

Take out the greatest common factor:

8m(4 + 7p)