Find the smallest four digit number which Is divisible by 18 24 and 32

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Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

Answer:

|-101|  > -85

Step-by-step explanation:

|-101| __ -85

The absolute value is taking the positive value

101 __ -85

101 is greater than -85

|-101|  > -85

Answer:

>

Step-by-step explanation:

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

Answer:

507

Step-by-step explanation:

apeex

Answer:

The answer is option A.

√48 = 6.93 to the nearest hundredth

Hope this helps you

Answer:

A

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

6r = 72

We need to divide each side by 6, not subtract 6 from each side

6r/6 = 72/6

r = 12

Answer:

Brooke's solution is incorrect

Divide both sides by 6

r=12

Step-by-step explanation:

The equation is:

6r=72

Brooke solved the equation like so:

6r-6=72-6

r=66

Brooke's solution is incorrect. She subtracted 6 from both sides of the equation.

Here is how the equation should be solved:

6r=72

We want to solve for r, so we have to get r by itself. 6 and r are being multiplied (6*r=6r). The inverse of multiplication is division, so we must divide both sides by 6 (not subtract 6 from both sides).

6r/6=72/6

r=72/6

r=12

Brooke's solution is incorrect. She subtracted 6 instead of dividing by 6. The correct solution is r=12.

Answer:

80$

Step-by-step explanation:

total amount of needed=200

Total =Tef +Angelina+Jason

200=90+30+Angelina

Angelina=200-120

Angelina=80$

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]

Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.

Combine like terms , we get

[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.

Degree of [tex]6st^9[/tex]  is 1+9=10;

Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;

Degree of  [tex]- 6t^7[/tex]  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.

Discussion:

By counting the number of terms in the polynomial;

Additionally, the degree of the polynomial is 10.

This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.

Read more on polynomial degree;

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Answer:

This is not an exponential function because the variable is in the exponent position.

Answer:

4 cm (A)

Step-by-step explanation:

triangle BAC is just a larger version of triangle EAD. given that ED is 5cm, and BC is 10cm, triangle BAC must be twice the size of EAD. since the ratio of AD to ED is 4:5, and BC is twice the size, all we need to do is multiply both sides by 2 to find length AC. 4*2 = 8. now we can subtract length AD from AC to get CD. 8 - 4 = 4.

sorry if what i wrote is a little confusing

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

The equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.

Given is the following statement - It is not the case that a gun and a nose are both weapons.

Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -

A = gun

B = nose

~(p ∧ q) = Not(A ∧ B)

So, we can write it as -

~(p ∧ q) =  Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.

where -

A gun is not a weapon → ~p

or → ∨

a nose is not a weapon → ~q

Therefore, the equivalent statement for the given statement -  It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.

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Answer:

A.  5 : 3

Step-by-step explanation:

Number of blue cups : Number of red cups

10 : 6

Divide to the lowest terms

10 ÷ 2 : 6 ÷2

5 : 3

Answer:

The answer is A

Step-by-step explanation:

The ratio of blue cups to red cups is 10:6 you can figure this out by counting how many blue cups there are and how many red cups there are.

Now that you have your ratio of 10:6 which means for every 10 blue cups there will be 6 red cups. You can work with this and find equivalent ratios by multiplying or dividing. In this case you would have to divide in half to find the ratio 5:3

Hope this helps!

Answer:

The bearing from Atlanta to Canada is 220 degrees

Step-by-step explanation:

Given

Represent Canada with C and Atlanta with A

Bearing from C to A = 040

Required

Determine the bearing from A to C

This concept is referred to as Back Bearing and it's calculated as follows.

Because the front bearing is less 180 (040, to be precise), we have to add it to 180 to get the back bearing;

Hence,

[tex]A\ to\ C\ =\ 180\ + C\ to\ A[/tex]

Substitute 040 for C to A

[tex]A\ to\ C\ =\ 180\ + 040[/tex]

[tex]A\ to\ C\ =\ 220[/tex]

Hence, the bearing from Atlanta to Canada is 220 degrees

Answer:same here

Step-by-step explanation:

Answer:

A.) Option C

B.) Option A

Step-by-step explanation:

A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.

After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.

Since the graph is distance - time graph, the best graphical representation for this illustration is C

B.) The is a speed - time graph.

At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.

The correct graphical representation for this illustration is A

Answer:

92°

Step-by-step explanation:

We know that [tex]\overline{QV}[/tex] is a straight line which means that we know that ∠QTU + ∠VTU = 180

11x+4+∠VTU = 180

∠VTU = 180-11x-4

∠VTU = 176-11x

Then, using the triangle inequality, we know that ∠VTU+∠TUV+∠UVT = 180

3x+14+54+176-11x=180

-8x+244=180

-8x = -64

x=8

Now we can substitute and solve for ∠UTQ

11(8)+4 = 88+4 = 92°

Answer: 92°

Step-by-step explanation:

Answer:

5x+2y=48 or 5x-12y=-8

The value of x is 5 and y is 4.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The Equations are:

5x - 12y= -8...................(1)

and, 5 x + 2 y = 48 ..................(2)

Solving the Equation (1) and (2) we get

-12y -2y = -8 - 48

-14y = -56

y= -56 /(-14)

y = 4

and, 5x +2y= 48

5x + 8 = 48

5x= 40

x= 5

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Answer:

1.) 3/5

2.) 3/10

3.) 50

Step-by-step explanation:

i believe my answers are right, they might be wrong. I'm not that old so I can't solve most of these problems.

1.) to get this, you need to multiply the remaining shirts and 2/3

2.) subtract 1/10, and 3/5 from 1, which equals 3/10

3.) is 3/10 is equal to 15, then 1/10 is equal to 5, 5*10=50

Answer:

1) 3/5

2) 3/10

3) 35

Step-by-step explanation:

For majority of the questions, you just have to multiply the numbers together. I think all of them is right... T-T

sry if its wrong.. :|

Answer:

1/4

Step-by-step explanation:

Given:

Colors

Yellow 1

Red 1

Blue 2

Total 4

Required:

Times that the spinner landed on red=?

Formula:

Probability=Successful outcome ÷ Possible outcome.

Solution:

Probability=Successful outcome ÷ Possible outcome

Probability=1÷4

Probability=1/4

Hope this helps ;) ❤❤❤

Answer:

about 125 times

Step-by-step explanation:

Answer:

Purple line: 4

Red dashed line: 2

Blue line: 1/2

Step-by-step explanation:

The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).

Think of it this way:

[tex]y = ax+b \\[/tex]

here [tex]b = 0[/tex] so [tex]y = ax[/tex]

The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.

Take for example this one:

[tex]y = 2x \\[/tex]

Take [tex]x=2\\[/tex] therefore [tex]y =4[/tex]

Now take [tex]y = 4x[/tex] and take [tex]x =2[/tex] therefore [tex]y = 8[/tex]

When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.

Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.

Answer:

[tex]2h^{2} + 7hk - 15k^{2}[/tex]

Step-by-step explanation:

Distribute (2h − 3k)(h + 5k).

2h^2 + 10hk - 3hk - 15k^2

2h^2 + 7hk 15k^2

Answer:

the answer is the last one

Step-by-step explanation:

it is in form of f(x) = mx + b and mx is the slope and b is the y intercept

Answer:

f(x)= 2x - 6

Step-by-step explanation:

Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.

Step-by-step explanation:

Given: Number of machine parts in a batch = 8

weight of packaging for each part = 2  pounds

Let  x be the weight of each part ( in pounds).

Weight of each part with packaging = x+2

Then, Total weight of the parts and their packaging =  (Number of machine parts) x (Weight of each part with packaging )

= 8(x+2)

If each part weighs 6 pounds, then put x= 6

Total weight of the parts and their packaging =  8(6+2)

= 8 x 8 = 64 pounds

Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .

Here is what we know:

8 machine parts

each part = x pouunds

packaging for each part is 2 pounds so 16 pounds for packaging

If y=total weight wiith that information we can form this equation

y=8x + 16

If each part equals 6 pounds the total shipment will be

y=8x+16

y=8(6) + 16

y= 48 + 16

y=64

Answer:

2. sinθ= cos 35°

sinθ= sin(90°-35)

θ= 55°

3. cos4θ= sin5θ

cos 4θ= cos (90-5θ)

4θ=90°-5θ

collect like terms

4θ+5θ=90°

9θ=90° (divide both sides by 9)

therefore θ=10°

Answer:

not quite sure what this is asking for but the average speed is 7800/11

Answer:

3 or 3/1

Step-by-step explanation:

Slope is also known as rise/run.

The formula used to find slope is y^2-y^1/x^2-x^1.

The work is below:

-1-5/0-2

-6/-2

3/1

m=3

When we calculate the slope using the formula, we find that the slope(m) equals to 3/1 or 3 which means that you rise up by 3 and run to the right 1.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

The slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same). A measure of steepness is a slope. When building roads, one must determine how steep the road will be. These are some examples of slopes in real life.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given the line is passed through the following points,

(x₁,y₁)=(0, 5)

(x₂,y₂)=(-2, -1)

The slope of the line is found as,

m=(y₂-y₁) / (x₂-x₁)

Substitute the given values,

m=-(1-5)/(0-2)

m=(-6)/(-2)

m=3/1

The slope(m) equals 3/1, or 3 when we compute the slope using the formula, meaning that you rise up by 3 and move to the right by 1.

Thus, the slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.

Learn more about the slope here:

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Answer:

8

Step-by-step explanation:

If you want the dot product, here it is:  (0)(0) + (-2i)(4i) = 8

Hi,

[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]

Have a good day.

Answer:

a. 51

Step-by-step explanation:

[tex]t_{n} =a+(n-1)d[/tex]

201 = 1 + (n - 1)4

200 = (n - 1)4

50 = n - 1

51 = n

Answer:

He can ride for 28 miles

Step-by-step explanation:

Total cost of the ride = $ 10

Tips = $ 2

Cost of ride excluding tips = 10 - 2 = $ 8

Taxi fare for first 500 miles = $ 2.40

Taxi fare excluding first 500 miles =  8 - 2.40 = $ 5.60

distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile

 = 5.60 ÷ 0.20

=28 miles