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Fofino [41]
4 years ago
12

2x + 5y + 7x equals

Mathematics
2 answers:
Westkost [7]4 years ago
8 0
This equation simplified would be 9x + 5y.
We can figure this out by combining like terms.
I hope this helped! :-)
lesya692 [45]4 years ago
5 0
2x + 5y + 7x

---

Combine like terms
(2x + 7x)

---

9x + 5y
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A soft drink machine outputs a mean of 2323 ounces per cup. The machine's output is normally distributed with a standard deviati
viktelen [127]

Answer:

Area under the normal curve: 0.6915.

69.15% probability of putting less than 24 ounces in a cup.

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 = 23, \sigma = 2

You have been asked to calculate the probability of putting less than 24 ounces in a cup.

pvalue of Z when X = 24. So

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

Z = \frac{24 - 23}{2}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

Area under the normal curve: 0.6915.

69.15% probability of putting less than 24 ounces in a cup.

5 0
3 years ago
Find the measure of the arc. Please help!
kolbaska11 [484]

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

4 0
3 years ago
I need help on my 3.3.6 Journal: Breakdown Ahead apex.
insens350 [35]

Answer:

pg. 1

teresa: use difference of 2 squares

rico: 6561 is not a perfect square

pg. 2

i think teresa is right and that 6561 can be broken down

problem 1: (x^4-81)^2=(x^2-9)^4=(x-3)^8

problem 2: a. false b. rico

pg. 3

problem 3: a. -1(3x+5)^2 b. teresa is right because it cant still be a perfect square trinomial while having a negative first term.

problem 4: a. (y+3)^2 b. teresa

pg. 4

problem 5: a. (x^n+y^n)(x^n-y^n) b. teresa

teresa got more right, rico is buying pizza

Step-by-step explanation:

apex

7 0
3 years ago
An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads. When the photograph is t
NISA [10]

Answer:

Building is 56.58 feet long.

Step-by-step explanation:

Consider the provided information.

An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads.

When the photograph is taken, the angle of elevation of the sun is 30°.

By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 98 feet long.

As we know: \tan\theta=\frac{opp}{adj}

The value of tan 30 degrees is \frac{1}{\sqrt{3} }

\tan30=\frac{h}{98}

\frac{1}{\sqrt{3}}=\frac{h}{98}

h=\frac{98}{\sqrt{3}}

h=56.58

Hence, Building is 56.58 feet long.

8 0
4 years ago
5 Points
Degger [83]

Answer:

(x - 2)² + (y + 3)² = 9

Step-by-step explanation:

(x - h)² + (y - k)² = r²

(x - 2)² + (y - (-3))² = 3²

(x - 2)² + (y + 3)² = 9

4 0
3 years ago
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