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2 years ago

Solve the following equation: 156 + (7 – 3) x 7 = A. 174 B. 184 C. 1,050 D. 1,120

1 answer:

8 0

Using BEDMAS you follow the structure of what processes you need to do in the right mathematical order.

In this case, Brackets first, multiplication second, then adding.

Therefore answer he answer is C 184

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H^-16/h^x=1/h^24 can someone help me please

Basile [38]

Given:

Consider the equation is

$\dfrac{h^{16}}{h^x}=\dfrac{1}{h^{24}}$

To find:

The value of x.

Solution:

We have,

$\dfrac{h^{-16}}{h^x}=\dfrac{1}{h^{24}}$

Using properties of exponents, we get

$h^{-16-x}=h^{-24}$ $[\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]$

On comparing both sides, we get

$-16-x=-24$

Add 16 on both sides.

$-x=-24+16$

$-x=-8$

Multiply both sides by -1.

$x=8$

Therefore, the value of x is 8.

5 0

2 years ago

Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

6 0

2 years ago

Carlos started at sea level, climbed a

igomit [66]

19-14? I think first you need to find sea level.

8 0

2 years ago

Noah was assigned to make 64 cookies for the bake sale. He made 25% MORE than that. How many cookies did Noah make? Explain how

bazaltina [42]

Answer:

8 cookies were left after the bake sale. 72 were sold.

Step-by-step explanation:

64*1.25= 80

80*.9= 72

125% of 64 is equal to 80.

90% of 80 is equal to 72.

The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was 8

10% × 125% × 64 = 0.125 × 64 = 8

thats all i could really come up with at the top of my head

6 0

2 years ago

ajjslahskanhznsgKahay iahzjanshkabshanvzkavzksvsjabhzkavzhsbgzksbzhsjzgskhzhsjzgjsbzhskzvsjbxhsjzgskbzjsnzhsiksgzjsbzhjshzishsub

monitta

Answer:

are you okay?

Step-by-step explanation:

4 0

2 years ago