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2 years ago

The dimensions of a 4−cm by the 4−cm rectangle are multiplied by 1/2 (as a fraction). How is the area of the rectangle affected?

Mathematics

2 answers:

nika2105 [10]2 years ago

6 0

Answer:

1/2 is just saying 0.5

Step-by-step explanation:

half of one is 0.5 or 1/2

STALIN [3.7K]2 years ago

5 0

0.5 or 1/2 I do not know

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Find the particular solution of the differential equation that satisfies the initial condition f'(x) 4x, f(0) = 5 f(x) =

malfutka [58]

Answer: $f(x)=2x^2+5$

Step-by-step explanation:

First integrate f'(x) so we can find the funtion f(x):

$4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)$

The initial conditions say that when x = 0, the function equals 5. Let's write that down:

$f(0)=5=2(0^2)+C=C$

Therefore, the integration constant 'C' must equal 5. This means that our function is:

$f(x)=2x^2+5$

6 0

2 years ago

Help pls help pls help

fiasKO [112]

Answer:

1/4 of a mile in 1/10 of an hour

you can set up a proportion

(1/4)/(1/10)=2/H

you can now simplify or cross multiply

simplifying the left side

(1/4) divided by (1/10) equals (1/4) times (10/1)

(1/4)*(10/1)=10/4=5/2

5/2=2/H

cross multiply

5H=2*2

5H=4

H=4/5 of an hour or (4/5)*60=48 minutes

another solution...

2/(1/4)=8 and 8*(1/10)=8/10=4/5 of an hour or 48 minutes again

4 0

2 years ago

Read 2 more answers

TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and

Delicious77 [7]

Answer:

The interior length of the bassinet to ensure that 99 percent of newborn babies will fit = 1.7 cm

Step-by-step explanation:

Explanation:-

step(i):-

Given mean of population = 50 cm

standard deviation of Population = 5 cm

Given Margin of error = 10 cm

The Margin of error is determined by

$M.E = \frac{Z_{\alpha } S.D}{\sqrt{n} }$

Step(ii):-

Given level of significance ∝ = 99 % or 1 %

Z₀.₀₁ = 2.576

$10 = \frac{2.576 X 5}{\sqrt{n} }$

$\sqrt{n} = \frac{2.576 X 5}{10}$

√n = 1.3

squaring on both sides , we get

n = 1.69≅ 1.7 cm

Final answer:-

The interior length of the bassinet to ensure that 99 percent of newborn babies will fit = 1.7 cm

4 0

3 years ago

Write an equation that represents the line. Use exact numbers.

Greeley [361]

Answer:

Step-by-step explanation:

it is hard to know exactly by eye balling the graph I can't dissern the y intercept it might be 4.5 but it could be 4.33, but it looks for sure like the x intercept equals 6 but does it

the dots on the line are at (-2, -6) and (2, 3) so we can find the slope m

in the y = mx + b line equation b is the y intercept

m = Δy/Δx = (y1 - y2) / (x1 - x2)

= (-6 - -3) / (-2 - 2)

= -3 / -4

m = 3/4

y = 3x/4 + y intercept which i can't dissern (read directly from the

graph, but we believe y = 0 when x is six

0 = 3(6)/4 + y intercept

-18/4 = 18/4 -18/4 + y intercept

-9/2 = y intercept

-4.5 = y intercept

y = 3x/4 - 9/2 i think exact number means NO FRACTIONS but that is whole number so let me gaggle it What are exact numbers? Gaggle indicates exact numbers are integers example 3 ft in a yard 12 eggs in a dozen

y = 3x/4 - 9/2 multiple both sides by 4

4y = 3x - 36/2

4y = 3x - 18 <------------------ FINAL ANSWER

7 0

3 years ago

The cost of Ms. Clark's restaurant meal is $25.50.

lapo4ka [179]

Answer: The correct answer is B.

Step-by-step explanation: We are given the cost of restaurant meal of M. Clark is $25.50.

and she has given 20% of the meal's cost as a tip to the waiter.

Step 1: Calculating the amount of tip paid

$\text{amount of tip}=\frac{20}{100}\times 25.50$

Total tip paid = $5.1

Step 2: To find the total amount, we add the cost of the meal and the tip paid

Total amount = Cost of the meal + Tip paid

Total amount = $25.50 + $5.10

Total amount paid by Ms. Clark = $30.6

4 0

3 years ago

Read 2 more answers