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saw5 [17]
3 years ago
8

What is the midpoint m given q(-2, -4) and R(6, 10)

Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0

Answer:

(2,3)

Step-by-step explanation:

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Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. what are the minimum and maximum possible values of f(5) − f(1)?
zzz [600]

Assuming f is differentiable over the interval (1, 5), by the mean value theorem we know that there is some 1 such that

f'(c)=\dfrac{f(5)-f(1)}{5-1}

We're given that 2\le f'(x)\le3 for all x, so

2\le\dfrac{f(5)-f(1)}4\le3\implies8\le f(5)-f(1)\le12

that is, the minimum possible value is 8, and the maximum possible value is 12.

8 0
2 years ago
Anita plans to cover a solid cone with construction paper for a science project. The cone has a diameter of 11 inches and a slan
galben [10]

Answer:

587.18 in²

Step-by-step explanation:

In the above question, we are given the following values

Diameter = 11 inches

Radius = Diameter/2 = 11 inches/2 = 5.5 inches

Slant height = 28.5 inches.

We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.

To solve for this, we would use formula for Total Surface Area of a Cone

Total Surface Area of a Cone = πrl + πr²

= πr(r + l)

Using 3.14 for π

Total Surface Area of a Cone

= 3.14 × 5.5( 5.5 + 28.5)

= 3.14 × 5.5 × (34)

= 587.18 in²

Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.

7 0
3 years ago
A vitamin C tablet contains 1/40 of a gram of vitamin C. You take 1&1/2 tablets Evry day. How many grams of vitamin C do u t
Alexxandr [17]

Answer:

Either 3/80 grams or 0.0385 grams

Step-by-step explanation:

1 tablet = 1/40 of a gram

1/40 of a gram = 1 ÷ 40 = 0.025 grams

1 tablet = 0.025 grams

1.5 tablets = x

1/1.5 = 0.025 / x                  Cross multiply

x*1 = 0.025 * 1.5                  Combine the factors

x = 0.0375 grams                Convert to a fraction

0.0375 = 3/80

8 0
2 years ago
A manufacturing company builds construction machinery. It sells 10 machines for $18,100 and 20 machines for $26,600. Which equat
love history [14]
Y = mx + b
m = (y2 - y1)/(x2 - x1)

y = (26,600 - 18100)/(20 - 10)x + b
y = 850x + b
18100 = 850(10) + b
b = 9600

R(x) = 850x + 9600
3 0
3 years ago
Which of the following equations is the formula of f(x) = x^1/3 but shifted 4 units to the left and 4 units up?
nlexa [21]

Answer:

Hence correct chcie is C.

f\left(x\right)=(x+4)^{\frac{1}{3}}+4

Step-by-step explanation:

Given function is f\left(x\right)=x^{\frac{1}{3}}

Now it says that function is shifted 4 units to the left and 4 units up.

We need to find about which of the given choice is correct for the given transformation.

When f(x) is shifted "h" units left then we write f(x+h)

So f\left(x\right)=x^{\frac{1}{3}} will change to

f\left(x\right)=(x+4)^{\frac{1}{3}}

When f(x) is shifted "h" units up then we write f(x)+h

So f\left(x\right)=(x+4)^{\frac{1}{3}} will change to

f\left(x\right)=(x+4)^{\frac{1}{3}}+4

4 0
3 years ago
Read 2 more answers
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