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3 years ago

PLZ HELP I WILL GIVE BRAINLIEST IF CORRECT!!!Laticia earned $45 for baking three cakes one week. The following week

Mathematics

2 answers:

Lyrx [107]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

Yes, because every cake will cost $15

Crazy boy [7]3 years ago

3 0

Answer:yes i think sorry if Im wrong

Step-by-step explanation:

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What-is-62%-of-25?---------EXPLAIN------------------!

gavmur [86]

By adding those hyphens you are making it difficult to answer your question.

It says 'What is 62% of 25'. 'Of' in math means to multiply. And to multiply a percent, we must turn it into a decimal. To do this, we move the percent sign two places to the left. 62% becomes 0.62.

25 * .62 = 15.5

The answer to your question is 15.5

8 0

4 years ago

Read 2 more answers

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich

Bess [88]

Answer:

a). k = 2.0794

b). $A_{t}=A_{0}(2^{3t} )$

c). 13107200 cells

d). rate of growth after 6 hours = 27255112

e). 4.76 hours

Step-by-step explanation:

From the formula of bacterial population,

$A_{t}=A_{0}e^{kt}$

Where $A_{t}$ = Bacterial population after time t

$A_{0}$ = Initial population

k = relative growth factor

t = duration or time

a). For $A_{t}=2\times 50=100$ cells

and $A_{0}=50$ cells

Time t = 20 minutes = $\frac{1}{3}$ hours

Now we plug in these values in the formula,

100 = $50(e^{\frac{k}{3}})$

$e^{\frac{k}{3}}=2$

By taking natural log on both the sides of the equation,

$\frac{k}{3}(lne)=ln(2)$

k = 3ln(2) = 2.0794

b). To get the expression we will plug in the value of k in the formula.

$A_{t}=A_{0}e^{kt}$

Since k = 3ln(2)

$A_{t}=A_{0}e^{3t(ln2)}$

Let y = $e^{3t(ln2)}$

By taking natural log on both the sides of the equation,

lny = $ln(e^{3t(ln2)} )$

lny = 3t(ln2)ln(e)

ln(y) = 3t(ln2)

ln(y) = $ln(2)^{3t}$

y = $2^{3t}$

Now our expression will be $A_{t}=A_{0}(2^{3t} )$

c). Number of cells after t = 6 hours

$A_{6}=50(2^{3\times 6} )$

$A_{6}=50(2^{18})$

$A_{6}=50\times (262144)=13107200$

d). We can get the rate of growth by finding derivative of the expression

$\frac{d}{dt}(A_{t})=\frac{d}{dt}[A_{0}(e^{kt}})]$

= $A_{0}[ke^{kt}]$

Now $\frac{d}{dt}(A_{6})=k.A_{6}$

= 2.0794×13107200

= 27255112

e) From the given formula,

$A_{t}=A_{0}(2^{3t} )$

$1000000=50(2^{3t} )$

$2^{3t}=20000$

3t(ln2) = ln(20000)

t = $\frac{ln(20000)}{3(ln2)}$

t = $\frac{9.90349}{2.07944}=4.76$ hours

3 0

3 years ago

The B737-400 aircraft flies an average speed of 400 miles per hour.The expression 400t gives the distance traveled by the aircra

Softa [21]

Answer:

The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles

Step-by-step explanation:

Average speed = 400 miles per hour

Distance = 400t

t= 5

Total distance = 400t at t hours

Total distance when t = 5 hours

Total distance travelled = 400t

= 400 × 5

= 2,000 miles

Total distance travelled = 2,000 miles

The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles

3 0

4 years ago

The perimeter of a rectangular garden is 37.5 feet (ft). The width is x and the length is 15 ft. What is the width, in feet, of

nikitadnepr [17]

Answer:

the width is 22.5 ft

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a s

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

0.066 - 0.0094 = 0.0566

The upper limit of the confidence interval is

0.066 + 0.0094 = 0.0754

5 0

3 years ago