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lions [1.4K]
3 years ago
10

Find the value of x that makes this statement true

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0
\frac{(-2)^{5x-3}}{(-2)^{2x}} =(-2)^{21}

(-2)^{5x-3-2x}=(-2)^{21}  (The numerator and the denominator has same bases, therefore the powers will get subtracted. It is an exponential property)

(-2)^{3x-3}=(-2)^{21}

3x-3=21  (As the left hand side is equal to right hand side and the bases are on both the sides are equal too, we will equate their exponential power. Another property)

x-1=7

x=8  (After simplifying more, you'll get this)
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Your company manufactures dolls. each doll requires 2 foot of ribbon for bows how many yards of ribbon will you be required to m
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Answer:

1200 feet of ribbon

Step-by-step explanation:

2 feet per doll

600 dolls

600 dolls x 2 feet per doll

1200 feet of ribbon for 600 dolls

6 0
3 years ago
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If 75% of a class answered the 1st question on a certain test correctly, 55% answered the 2nd question on the test correctly and
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100-20=80
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Need help with this geometric question ASAP, Thank you
Law Incorporation [45]
The error would be assuming the altitude is a bisector and divides the sides evenly.
7 0
2 years ago
Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma
olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is  0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded,  is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed)  , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4)  = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is  0.919 (91.9%)

6 0
3 years ago
Sound travels through air at about 344 meters per seconds when the temp. is 20 degrees c. If Enrique lives 2 kilometres from the
Vaselesa [24]

Answer:

(344*20)  +  ( 2*20)  = (20*2) = ?

Step-by-step explanation:

8 0
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