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olga_2 [115]
3 years ago
11

Multiply and simplify:

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer: b^10

by property of exponents we have the relationship;

a^b*a^c=a^b+c

So we have:

b^3*b*b^4*b^2=b^3+1+4+2=b^10

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Can someone please help with #16
ollegr [7]

Answer:

∠ WZX = 50°

XW is not an altitude.

Step-by-step explanation:

16. See the attached figure.

XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ

Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13

Hence, ∠ YXZ = 2 ∠ WXY

⇒ 8x + 34 = 2(10x - 13)

⇒ 8x + 34 = 20x - 26

⇒ 12x = 60

⇒ x = 5.

Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)

Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°

Hence, from Δ WXZ,

∠ WZX + ∠ WXZ + ∠ XWZ = 180°

⇒ 50° + 37° + ∠ XWZ = 180°

⇒ ∠ XWZ = 93° ≠ 90°

Hence, XW is not an altitude. (Answer)

6 0
3 years ago
A recipe for sparkling water calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice how much sparkling water wi
Mashutka [201]

Answer: 18 quarts

Step-by-step explanation:

Quantity of sparkling water and gape juice are used in proportion in  the recipe.

Let x=  quantity of sparkling water when 9 quarts of grape juice is used.

Then,

\dfrac{x}{9}=\dfrac{1\dfrac12}{\dfrac34}\\\\\Rightarrow\ =\dfrac{x}{9}=\dfrac{\dfrac32}{\dfrac34}\\\\\Rightarrow\ \dfrac{x}{9}=\dfrac{4}{2}\\\\\Rightarrow\ x= 2\times9\\\\\Rightarrow\ x=18

Hence, 18 quarts of sparkling water is required to mix with 9 quarts of grape juice.

7 0
3 years ago
A song needs to be purchased 1,000,000 times in under a week to reach the top 10 chart. The purchase rate of Bailey's song can b
maria [59]

After 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.

<h3>What is a function?</h3>

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

It is given that the website hosting the song uses the function:

f(t)=2002t² to represent the number of daily hits over time, where t is time in days.

It is required to predict the day on which the number of daily hits reaches 1,000,000.

We have a function:

f(t)=2002t²

When f(t) = 1,000,000 then what will be the value of 't'

Simply:

1000000 = 2002 t²

499.500 = t²

t = √499.500

t= 22.349 days

t = 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34).

Thus, after 22 days and 8 hours (0.349×24 hours) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.

To know more about functions follow

brainly.com/question/2833285

#SPJ1

7 0
2 years ago
In Triangle XYZ, x = 5.2 inches, y = 9.8 inches and z=7.1 inches. Find the measure of
Oduvanchick [21]

Answer: 45

Step-by-step explanation:

7 0
3 years ago
According to the presentation, what are situations that can cut into retirement funds? accidents tax liabilities health needs So
ivanzaharov [21]
Accidents, health needs.
8 0
3 years ago
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