Look at these number cards
0.2, 2, 10, 0.1, 0.05, 1
choose two of the cards to give the number one hundred
A x B = 100

Answer:

19683

Step-by-step explanation:

As the formula of the geometric sequence:

[tex]a_{n} =a_{1} *r^{n-1}[/tex]

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]

Hope this helps!

here, we are required to find the range of values for which

The range of values for which x²–5x + 6 < 0

is at; x < 3

x2–5x + 6 < 0

By solving the expression quadratically; we have;

x² -3x -2x +6 < 0

By factorization;

(x - 2)(x - 3) < 0

Therefore;

The range of values for which x²–5x + 6 < 0

is at;

x < 3

Read more:

https://brainly.com/question/24434501

Answer:

its actaully c because its left alone once you subtract

The correct answer is option (D).

A triangle is a polygon with 3 sides.

Given the triangles ΔABE and ΔACD.

The triangle ΔABE is a smaller-scaled replica of the triangle ΔACD, therefore, the triangles ΔABE and ΔACD are similar triangles.

Since the triangles are similar, the ratio of their corresponding sides is proportional.

Therefore,

BE/CD = AB/AC

Or, BE = CD· (AB/AC)

Hence, the correct answer is option (D).

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ3

Answer:

$82.50

Step-by-step explanation:

Given that the unit rate is $13.75 per hour,

1 hour -----> $13.75

6 hours -----> $13.75 x 6 = $82.50

Answer:

B

Step-by-step explanation:

Set up the equation

z = [tex]\frac{kx^2}{y}[/tex]

Plug in the numbers to find the value of k

3 = [tex]\frac{k(2^2)}{4}[/tex]

12 = 4k

3 = k

Solve to find the value of z

z = [tex]\frac{3(4^2)}{9}[/tex]

z = [tex]\frac{3(16)}{9}[/tex]

z = 48/9

z = 16/3

Answer:

No

Step-by-step explanation:

Answer: x=2.1

Step-by-step explanation:

[tex]7x+15=30[/tex]

     [tex]-15[/tex] on both sides

7x=15

divide 7 on both sides

x=2.14

round

x=2.1

Answer:

x= 15/7

hope it helps!

Step-by-step explanation:

First state the equation:

7x+15=30

Bring 15 to the other side of the equation, making the (+) to (-)

So,

7x+15= 30

7x= 30-15

7x= 15

Bring 7 to the other side, it'll become 1/7

x= 15*1/7

= 15/7

= 2.14 in decimal form

Answer:

f(2) = 18

Step-by-step explanation:

To evaluate f(2) , substitute x = 2 into f(x), that is

f(2) = 3(2 + 4) = 3 × 6 = 18

Answer:

11, 13, 17, 31, 37, 71, 73, 79, 97 are the two digit numbers which remain prime even on interchanging the digits.

Step-by-step explanation:

Answer:

a) 10.7 cm

b) 11.6 cm

c) 29.9 cm²

Step-by-step explanation:

a) sin(α)/a = sin(β)/b

sin(∠BCD)/BD = sin(DBC)/DC

sin(41°)/BD = sin(55°)/13.4

BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm

b) From ΔBCD , ∠BDC = 180-(41+55) = 84°

∠ABD and ∠BDC are alternate interior angles, so they are congruent, and

∠ABD = ∠BDC  = 84°

AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =

= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²

AD =√(133.93) ≈11.6 cm

c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²

Answer:

The graphs are missing, but we can find the inequality for this problem:

She has $60.

The price of a T-shirt is $10, the price of a sweatshirt is $14.

If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:

T + S ≥ 5 (because she wants to buy at least 5 items)

T*$10 + S*$14 < $60 (because she wants to spend under $60)

Those two inequalities define the number of T-shirts and sweatshirts that she can buy.

The intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have:

Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each.

Here, graph are missing.

Let's suppose the number of T-shirts is T and the number of sweatshirts is S.

T + S ≥ 5 (because she wants to buy at least 5 items)

10T + 14S < 14 (spending under $60)

If we plot the above inequality on a coordinate plane.

Thus, the intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

Answer:

D = 13 units

Step-by-step explanation:

Using Distance Formula to find the length.

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]

D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13 units

Answer:

i think its 13

Step-by-step explanation:

i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13

Answer: (a) Yes. The table is a function.

Step-by-step explanation:

In order to be a function, there cannot be any duplicate x-values.

In the given table, each x-value is different so this IS a function.

Answer:

3/8

Step-by-step explanation:

for the number 1 on spinner a there are 4 possibilites.

same goes for 2,3 and 4. all in all, there is 32 posibilities total.

for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.

in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.

12/32=3/8

Answer:

Its 3/8

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

3.14 (a2 + ab)

Substitute a = 4 and b = 2 into the equation:

3.14 (4^2 + 4*2)

= 3.14 (16 + 8)

= 3.14 (24)

= 75.36

Answer:

75.36

Step-by-step explanation:

=> (3.14)(a²+ab)

Putting a = 4, b = 2

=> [tex](3.14)[(4)^2+(4)(2)][/tex]

=> [tex](3.14)(16+8)[/tex]

=> [tex](3.14)(24)[/tex]

=> 75.36

Answer : The area of given rectangle is p² - 7p

Step-by-step explanation :

Formula used to calculate the area of rectangle is:

Area of rectangle = length × breadth

Given:

Length = (p-7)

Breadth = p

Area of rectangle = length × breadth

Area of rectangle = (p-7) × p

Area of rectangle = p² - 7p

Therefore, the area of given rectangle is p² - 7p

Answer:

She subtracted 3.4 on the left and added 3.40 on the right

Step-by-step explanation:

3.40 + 0.85 x = 5.27

Subtract 3.40 from each side  

3.40 -3.40+ 0.85 x = 5.27-3.40

.85x = 5.27 - 3.40

.85x =1.87

Divide by .85

.85x/.85 =1.87/.85

x = 2.2

Answer:

(C) Carina should have subtracted 3.40 from 5.27.

Step-by-step explanation:

Answer:

8ab+12a-2b-3

Step-by-step explanation:

(4a–1)(2b+3)

Use the FOIL method:

First: 8ab

Outer: 12a

Inner: -2b

Last: -3

8ab+12a-2b-3

Answer:

x = -2

Step-by-step explanation:

2x + 5 = 1 ( subtract 5 from both sides )

2x = 1-5

2x = -4 ( divide both sides by 2 )

2x ÷ 2 = -4 ÷ 2

x = -2

Answer: x = -2

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.

Since 5 is being added to 2x, we subtract 5

from both sides of the equation to isolate the 2x.

On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.

So we have 2x = -4.

Now we can finish things off by just

dividing both sides of the equation by 2.

On the left, the 2's cancel and on the right, -4 divide by 2 is -2.

So x = -2.

Answer:

6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm

Area: 68

Perimeter: 50

Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

Answer:

speed = distance/time

distance = 60 miles

time = 1.5 h

speed = 60/1.5

= 40 miles per hour

so the answer in the pic is the correct answer

The equation of line is y = 40x and the unit rate of speed of travel is given by A = 40 mph

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 1.5 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 60 / 1.5 )

Slope m = 40 miles per hour

So , the speed of the travel is 40 mph

And , the equation of line is y - y₁ = m ( x - x₁ )

y = 40x , where x is the number of hours

Hence , the speed of the travel is 40 miles per hour

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ6

Answer:

-5 • (2w + 1)

 —————

       2      

Step-by-step explanation:

Corrected Question

Which equation can be solved by using this system of equations?

[tex]y= 3x^5 - 5x^3 + 2x^2 - 10x+4$ and y= 4x^4 + 6x^3 - 11[/tex]

Options

[tex](A)3x^5 -5x^3 + 2x^2 - 10x +4=0\\(B)3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 + 6x^3 - 11=0\\(C)3x^5 +4x^4 + x + 2x^2 - 10x-7=0\\(D)3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

Answer:

(D) [tex]3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

Step-by-step explanation:

[tex]y= 3x^5 - 5x^3 + 2x^2 - 10x+4\\y= 4x^4 + 6x^3 - 11\\$Therefore:\\3x^5 - 5x^3 + 2x^2 - 10x+4=4x^4 + 6x^3 - 11\\$Bring the terms on the right to the left\\3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

Complete question is:

Nancy is checking to determine if the expressions x+4+x and 6+2x-2 are equivalent. When x=3 , she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x = 14. What about the second expression?

Answer:

when x = 5; both expressions are equivalent and equal to 14

Step-by-step explanation:

We are told the expressions are:

(x + 4 + x) and (6 + 2x - 2).

We are also told that when x = 3,both expressions are equal and have a value of 10 each.

Now, when x = 5; we are told the expression (x + 4 + x) has a value of 14.

So when x = 5,let's find the value of the second expression by putting 5 for x in (6 + 2x - 2);

So, we have; 6 + 2(5) - 2 = 6 + 10 - 2 = 14

So when x = 5; both expressions are equivalent and equal to 14

Answer:

(a)

[tex]r\geq 5[/tex]

[tex]r+y\leq 15[/tex]

[tex]8r+12y\geq 120[/tex]

[tex]y\geq 0[/tex]

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

[tex]r\geq 5[/tex]

Since she does yard work, [tex]y\geq 0[/tex]

Lia’s parents allow her to work a maximum of 15 hours per week overall.

[tex]r+y\leq 15[/tex]

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

[tex]8r+12y\geq 120[/tex]

The system of inequalities that represent this problem is therefore:

[tex]r\geq 5[/tex]

[tex]r+y\leq 15[/tex]

[tex]8r+12y\geq 120[/tex]

[tex]y\geq 0[/tex]

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

multiply 500 by 4 to know how much is needed in grams first

500×4 = 2000

convert 2000grams to kilograms

since 1000grams make 1 kilograms....then divide 2000 by 1000

which would give you 2000/1000

answer = 2kg of sugar

Answer:

The answer is 2

Step-by-step explanation:

Answer:

7.10a.m.

Step-by-step explanation:

Thats it , byeee

Answer:

7.10am

Step-by-step explanation:

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