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3 years ago

Question 8 of 10

Mathematics

1 answer:

Assoli18 [71]3 years ago

6 0

Answer:

log y = 3

Step-by-step explanation:

Substitute 10 for x, obtaining the following:

log y = 0.23(10) + 0.8, or

log y = 2.3 + 0.8, or 3.10, or (to the nearest whole number):

log y = 3

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.

Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be $(x+2)$

Third consecutive number will be $(x+4)$

Fourth consecutive number will be $(x+6)$

Now, as given seven times the first exceeds their sum by 18.

∴ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

solving the equation to find the number.

⇒ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

Opening parenthesis

$x+x+2+x+4+x+6+18 = 7x$

⇒ $4x+30= 7x$

subtracting both side by 4x

⇒ $30= 3x$

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

First number is 10

Second consecutive number will be $(10+2)$ = 12

Third consecutive number will be $(10+4)$ = 14

Fourth consecutive number will be $(10+6)$ = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0

3 years ago

Write the following polynomial in standard form 15x4 -6x +13x2-1

vova2212 [387]

Answer:

see explanation

Step-by-step explanation:

A polynomial in standard form begins with the term with the largest exponent and the remaining terms in descending order of exponents.

given

15 $x^{4}$ - 6x + 13x² - 1 ← $x^{4}$ is largest exponent, hence

15 $x^{4}$ + 13x² - 6x - 1 ← in standard form

4 0

4 years ago

Please help will MARK BRANLIEST!!

strojnjashka [21]

Answer:

took me time to try and answer your question hope it proves helpful

5 0

4 years ago

Does anyone know the answer to this

Marysya12 [62]

Hello!

We can write this as a proportion below.

$\frac{blueprint}{real} = \frac{0.5}{4} = \frac{18}{x}$

As you can see, 4 is eight times 0.5. Therefore, we can multiply eighteen by eight to get our answer.

18(8)=144

Just to check, we can cross multiply and divide.

72/0.5=144

Therefore, our answer is 144 feet.

I hope this helps!

3 0

3 years ago

How many triangles exist with the given angle measures? 45 45 90

WARRIOR [948]

Answer:

Infinitely many

Step-by-step explanation:

for example,

a triangle of 1 - 1 - $\sqrt{2}$ is 45 - 45 - 90 based on the 45-45-90 triangle theorem

if I multiply the three side lengths listed above by the same number, I will still have a 45 -45 -90 because of the definition of similar triangles

8 0

3 years ago

Read 2 more answers