Solve for y : 0.5 = y − 5 x →0.5x = y − 5

Express 250 as the product of its prime factors. Write the prime factors in ascending order.

Delvig [45]

answer is : 2 x 5 x 5 x 5

5 0

4 years ago

Read 2 more answers

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

3 years ago

Solve for X then find the measure of DEF. Write your answers in decimal form.

Fittoniya [83]

Answer:

Since EF bisects ∠DEF, we know that EF splits ∠DEF in 2 halves from the word 'bisects', which can be written as 'bi- sects' , where bi means 2 and sects means sections

Hence, ∠DEG = ∠GEF --------------(1)

We are given the measure of these angles:

∠DEG = 3x - 4

∠GEF = x + 13

Now, replacing the values in (1):

3x - 4 = x + 13

2x = 17

x = 17/2

Now, finding the measure of ∠DEF:

∠DEF = ∠DEG + ∠GEF

∠DEF = 3x - 4 + x + 13

∠DEF = (51 / 2) - 4 + (17/2) + 13 (x = 17/2)

∠DEF = 34 - 4 + 13

∠DEF = 43°

7 0

4 years ago

At the beginning of an experiment, there are 400 grams of contaminants. Each hour, three-fourths of the contaminants are filtere

Bogdan [553]

Answer:

18.75

Step-by-step explanation:

first hour: 400×(1/4) = 100

second hour: 100×(1/4) = 25

third hour: 25×(1/4) = 18.75

3 0

3 years ago

If you travel at a rate of 45 miles per hour.How many minutes will it take to travel 1 mile

Misha Larkins [42]

You can apply a rule of three.
If you travel a distance of 45 miles in one hour (equivalent to 60 minutes), then how many minutes (x) will it take 1 mile?

45 miles → 60 min
1 mile → x

 $x=\frac{1 mile*60 min}{45 miles}$ --> $x=\frac{60}{45} min$ 

Simplifying the fraction, dividing the numerator and denominator by 15

x=(60/15)/(45/15) min→x=4/3 min =1.333333333 min
approximately 1.33 min

Answer: It will take 4/3 min or 1.33 min to travel 1 mile

8 0

3 years ago