On a certain day, the temperature in Seattle was -5° and the temperature in Houston was 10°. How many degrees lower was the temperature in Seattle?

Answer: [tex](0,0), (3,-27)[/tex]

Step-by-step explanation:

Given

Curve is [tex]y=x^4-4x^3[/tex]

The stationary point on a differentiable function is the points where the differentiation of the function is zero i.e. slope is zero at that point.

Differentiate the curve [tex]f(x)=x^4-4x^3[/tex]

[tex]\Rightarrow f'(x)=4x^3-12x^2[/tex]

Equate it to zero

[tex]\Rightarrow 4x^3-12x^2=0\\\Rightarrow 4x^2(x-3)=0\\\Rightarrow x=0,0,3[/tex]

Put [tex]x=0,3[/tex] in the function [tex]f(x)=x^4-4x^3[/tex]

[tex]\Rightarrow f(0)=0\\\Rightarrow f(3)=3^4-4(3)^3\\\Rightarrow f(3)=81-108\\\Rightarrow f(3)=-27[/tex]

Therefore, the stationary points are [tex](0,0), (3,-27)[/tex]

Answer:

20.6

Step-by-step explanation:

Answer:

II and III are right

Step-by-step explanation:

The reason I is wrong is the zeros are (-2, 0) and (4, 0)

done,

hope this helps

.......

Answer:

78.54

Step-by-step explanation:

Answer:

Circumference of a circle in terms of radius:

Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)

In terms of diameter:

Circumference = π·d = 3.14·10 = 31.4 mm.(*)

In terms of area:

Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)

Step-by-step explanation:

Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Answer:

A Complementary Angles

Step-by-step explanation:

Answer:

10 and 64.

16 and 40

Step-by-step explanation:

The product of the two numbers is equal to the product of LCM and HCF

Number 1* Number 2= LCM * HCF

Number 1* Number 2= 8*80

Number 1* Number 2= 640

Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64

so the two numbers will be 10 and 64.

Similalrly the two numbers can also be 16 and 40 and like wise.

Any number greater than 8 dividing 640 will give the second number also.

Answer:

B

Step-by-step explanation:

if you can see in the graph, the graph axes calculation is not the same with the one given.

Answer:

AB = 2×2=4, 3×3=9, 4×4=16, 5×5=25

is the right answer

Answer:

6/6

Step-by-step explanation:

if there are 6 children, and each of them are wearing a hat, that means there are six children wearing hats, out of the six children on the bus. so the answer would be 6/6.

All 6 childrens in the bus are wearing a hat.

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that there are 6 children on a bus. Each child is wearing a hat.

Total number of children in the bus = 6

Number of children wearing a hat = 6

Fraction of children wearing a hat -

n = (Number of children wearing a hat/Total number of children in the bus)

n = 6/6

n = 1

Therefore, all 6 childrens in the bus are wearing a hat.

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Answer:

y = 3 √ 27 x − 54 + 5

Step-by-step explanation:

what r the answer choices?

and does this help?

Horizontal translation - 2 units right.

Vertical translation - 5 units up

Stretch / compression - stretched by a factor of 3.

Reflection - not reflected.

Answer:

5 seconds

Step-by-step explanation:

When the rocket is on the ground, then h = 0 , that is

- 6t² + 30t = 0 ← factor out - 6t from each term

- 6t(t - 5) = 0

Equate each factor to zero and solve for t

- 6t = 0 ⇒ t = 0 ← when rocket is launched

t - 5 = 0 ⇒ t = 5 ← time when rocket returns to ground

Answer:

8,100

Step-by-step explanation:

To get the area of a square you must multiply one length by width 90 x 90 = 8100

The area of the infield with each side 90 feet long is,

⇒ Area of the infield = 8100 feet²

The multiplication means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed by a process of repeated addition.

We have to given that;

The infield of a baseball diamond is shaped like a square.

And, Each side is 90 feet long.

Hence, The area of the infield is,

⇒ Area of the infield = side²

Here, We have;

Side of infield = 90 feet

Hence, We get;

⇒ Area = 90²

⇒ Area = 90 x 90 feet²

⇒ Area = 8100 feet²

Therefore, We get the correct answer is;

The area of the infield with each side 90 feet long is,

⇒  Area of the infield = 8100 feet²

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Step-by-step explanation:

Scale factor=1/3

one side of spuare=9 (being reduced)

=9÷3=3

perimeter =(3)4

Answer:

x = 23

Step-by-step explanation:

The measures of the angles in a triangle add up to equal 180

That being said we can create an equation to solve for x

180 = 2x + 3x + 1 + 3x - 5

Now we solve for x using basic algebra

step 1 combine like terms

2x + 3x + 3x = 8x

1 - 5 = -4

now we have 180 = 8x - 4

step 2 add 4 to each side

-4 + 4 cancels out

180 + 4 = 184

now we have 184 = 8x

step 3 divide each side by 8

8x/8=x

184/8=23

we're left with x = 23

Answer:

[tex]A=141.6\ cm^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]A=2\pi rh[/tex]

For larger cylinder, A = 236 cm² and h = 5 cm

So,

[tex]236=2\pi \times 5\times r\\\\r=\dfrac{236}{10\pi}\\\\r=7.51\ cm[/tex]

Now, Put r = 7.51 and h = 3 cm to find the surface area of the smaller cylinder.

[tex]A=2\pi \times 7.51\times 3\\\\A=141.56\ cm^2\\\\A=141.6\ cm^2[/tex]

So, the surface area of the smaller cylinder is equal to [tex]141.6\ cm^2[/tex].

Answer:

85

Step-by-step explanation:

i did it and got it right

Answer:

1. 0.0469 (4.d.p)

2. 0.05

Step-by-step explanation:

1. First we'll find the probability of drawing a blue marble.

P = (No. favourable events)/(Total events)

In this case it's:

P = (No. blue marbles)/(Total Marbles)

Therefore P(Blue) = 4/16 = 0.25

Now we find the probability of drawing a yellow marble:

The total number will be the same because the blue marble will have been put back.

P(Yellow) = 3/16 = 0.1875

Now, since we are calculating the probability of both happening we multiply together the two individual probabilities to get the combined probability of both:

0.25 x 0.1875 = 0.0469 (4.d.p)

2. The probability of drawing a blue marble is still the same so we can keep that: P(Blue) = 0.25

But this time, the marble is not replaced. This means that the total number of marbles has changed when drawing the yellow marble:

P(Yellow) = 3/15 = 0.2

Now we multiply them together again to find the combined probability of both happening:

0.25 x 0.2 = 0.05

Hope this helped!

Answer:

Step-by-step explanation:

A person invested $2,500 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the

value of the account to reach $3,800?

The formula for exponential growth given as:

A(t) = Ao (1/2)^t/t½

A(t) = Amount after time t = $3,800

Ao = Initial amount invested = $2500

t = Time in years

t½ = Time it takes to double = 11 years

Hence,

3800 = 2500(1/2)^t/11

Divide both sides by 2500

3800/2500 = 2500(1/2)^t/11/2500

Answer:

[tex]100^x=10^{2x+5}\\100 = 10^2[/tex]

simplifies to

[tex]10^{2x}=10^{2x+5}\\2x = 2x+5\\0=5[/tex]

no solution

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

Answer:

1 is FALSE

2 is TRUE

3 is FALSE

4 is FALSE

Step-by-step explanation:

1 is false because the blue marble is 2 only

2 is true because green marble has a 100% you get this.

3 is false because we din't have yellow marble

4 is false because red is has 10 marble so you get this red marbke is has 82% because red marble is 2nd most at the number of color

Answer:

$100

Step-by-step explanation:

x + 4x = 500

5x = 500

x = 100

Answer: 4.6 cm

Step-by-step explanation:

Given

Volume of water [tex]V=1\ L\ \text{or}\ 1000\ cm^3[/tex]

The height of the water is [tex]h=15\ cm[/tex]

The volume of the cylinder is [tex]\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow 1000=\pi (r^2)15\\\\\Rightarrow r^2=\dfrac{1000}{3.142\times 15}\\\\\Rightarrow r^2=\dfrac{1000}{47.13}\\\\\Rightarrow r^2=21.217\\\Rightarrow r=4.6\ cm[/tex]

Answer:

270

Step-by-step explanation:

3/4x360

Answer:

-9

Step-by-step explanation:

why not

Answer:

5x4x9=180  then 4 divided by 2 is 2 then 2x180 you get the answer

Step-by-step explanation:

Answer:

the 9 in the tenths place is 10 times more than the one in the hundredths place

Step-by-step explanation:

Given that

There is a number i.e. 3.9928

Here we need to compare the value of the 9 in the tenth place to the value of the 9 in the hundredth place

The 9 in the tenth place has a value of 0.9

And, The value of 9 in the hundredth place contains a value of 0.09

So,

= 0.09 ÷ 0.9

= 0.1

= 1 ÷ 10

Answer:

Yes they would be because 2^2 or 2x2 =4 and -2^2 or -2x-2 also equals four because a neg x a neg equals a pos

Step-by-step explanation:

Answer:

positive

Step-by-step explanation:

Answer:

Value of house in 2021 = $627,680 (Approx.)

Step-by-step explanation:

Given:

Value of house in 2009 = $200,000

Rate increased per year = 10% annually

Find;

Value of house in 2021

Computation:

Number of year = 2021-2009 = 12 year

Value of house in 2021 = Value of house in 2009[1+Rate increased per year]ⁿ

Value of house in 2021 = 200,000[1+10%]¹²

Value of house in 2021 = 200,000[1+0.1]¹²

Value of house in 2021 = 200,000[1.1]¹²

Value of house in 2021 = 200,000[3.1384]

Value of house in 2021 = $627,680 (Approx.)