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3 years ago

H(t) = 3t2 + 4t

Mathematics

1 answer:

Anarel [89]3 years ago

7 0

Answer:

first we need to substitute g(t) value in h(t) value and then evaluate the expression as follows :

h(g(t))=3(t-1)²+4(t-1).

by solving

h(g(t))=3(t²+1-2t)+4t-4

h(g(t))=3t²-2t-1 will.be the final answer

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Evaluate 5x2−9 when x=−2

Elena-2011 [213]

answer: 11

explanation: just plug in -2 for x. the new problem becomes 5(-2)^2 - 9. Negative two squared is 4. 5 times 4 is 20. 20 minus 9 is 11.

3 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

3 years ago

F(x) = x2 - 4. Find the inverse of the function

Lisa [10]

Answer:

$f^{-1}$ (x) = √ x + 4

Step-by-step explanation:

step 1) replace f(x) with y

y = x² - 4

step 2) switch the x and y (because every (x, y) has a (y, x))

x = y² - 4

step 3) add 4 to both sides of the equal sign

x + 4 = y²

step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)

√ x + 4 = y

step 5) you know have the inverse of f(x) = x² - 4

$f^{-1}$ (x) = √ x + 4

5 0

3 years ago

X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to

Cerrena [4.2K]

Answer:

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0

3 years ago

A triangular frame has sides that measure 15'-7",20'-4" and 26'-2". What is the total length of three sides?

tatuchka [14]

we know that

$1\ foot=12\ inches$

$1'=12"$

Part 1)

we know that

side 1=15'-7"

side 2=20'-4"

side 3=26'-2"

To find the total length of three sides sum the three sides

total length=side 1+side 2 +side 3

substitute

total length=15'-7"+20'-4"+26'-2"

total length=(15'+20'+26')+(7"+4"+2")

total length=(61')+(13")

remember that

12"=1'

13"=12"+1"=1'+1"

substitute

total length=(61')+(1'+1")

total length=(62')+(1")---------> 62'-1"

therefore

the answer is

the total length of three sides is 62'-1"

5 0

3 years ago