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Sholpan [36]
3 years ago
13

50 points!!!!! need answer ASAP

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
5 0

Answer:

the first option

Step-by-step explanation:

i believe

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Emily is solving the equation 2(x+9)=4(x+7)+2 where did she make an error
Wittaler [7]
Hello!

2(x + 9) = 4(x + 7) + 2

Distribute the 2

2x + 18 = 4(x + 7) + 2

Distribute the 4

2x + 18 = 4x + 28 + 2

Combine like terms

2x + 18 = 4x + 30

Subtract 18 from both sides

2x = 4x + 12

Subtract 4x from both sides

-2x = 12

Divide both sides by -2

x = -6

Where she did something different than me is her mistake

Hope this helps!
6 0
3 years ago
Square root of 135bc^2d^3 x square root of 5b^2d
tresset_1 [31]
Square root of (675 b^3 c^2 d^4 )
7 0
3 years ago
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

8 0
3 years ago
Write the digits that make each equation true
igomit [66]
What equation I don't see one here
6 0
3 years ago
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w
cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 1.2

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

Z = \frac{X - \mu}{\sigma}

-1.047 = \frac{X - 12}{1.2}

X - 12 = -1.047*1.2

X = 10.7436

The cutoff sales level is 10.7436 millions of dollars

6 0
3 years ago
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