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fredd [130]
2 years ago
5

write the equation of the line, in standard form, that is perpendicular to y=3x-2 and passes through (-7,2)

Mathematics
1 answer:
34kurt2 years ago
8 0

Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

y-2=-1/3*(x-(-7))

y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

3y-6=-x-7

The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

x+3y=-1

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Which logarithmic graph can be used to approximate the value of y in the equation 2y = 5? (5 points) The graph of function f of
Travka [436]

Answer:

Step-by-step explanation:

Taking the base 2 log of both sides, we get:

log-base 2 of 2 + log-base 2 of y = log-base 2 of 5, or

            2            + log-base 2 of y = approx. 2.3, or

                              log-base 2 of y = approx 2.3 - 2, or

                               log-base 2 of y = approx 0.3

Please, if you are given a graph or graphs, share them along with all instructions for the problem at hand.  Thank you.

8 0
3 years ago
Given a standardized normal distribution (with a mean of O and a standard deviation of 1), determine the following probabilities
Mkey [24]

Answer:

a) P(Z > 1.09) = 0.1379

b) P(Z < -0.22) = 0.4129.

c) P(Z < -1.96) = 0.025, P(Z > -1.96) = 0.025

d) Z = 1.4

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

a. P(Z > 1.09)

This is 1 subtracted by the pvalue of Z = 1.09.

Z = 1.09 has a pvalue of 0.8621

1 - 0.8621 = 0.1379, so

P(Z > 1.09) = 0.1379

b. P(Z < -0.22)

This is the pvalue of Z = -0.22.

Z = -0.22 has a pvalue of 0.4129. So

P(Z < -0.22) = 0.4129.

c) P(Z < -1.96) or P(Z > -1.96)

Z = -1.96 has a pvalue of 0.025. So

1 - 0.025 = 0.975

P(Z < -1.96) = 0.025

P(Z > -1.96) = 0.025

d. What is the value of Z if only 8.08% of all possible Z-values are larger?

Z with a pvalue of 100 - 8.08 = 91.92 = 0.9192, so Z = 1.4

3 0
2 years ago
.................................................................................................
Lena [83]

Answer:

m<B = 141 degrees

Step-by-step explanation:

This shape is a heptagon meaning its angles should have a sum of 900 degrees.

we are given the degrees and we need to ad them up

148+90+120+129+130+142=749

then we subtract 749 from 900 which looks like

900-749=141

from subtracting 749 from 900 we get 141 hence we get our answer that m<B = 141 degrees

5 0
2 years ago
What does the greater than and less than signs look like
sdas [7]

This: >(Greater than) and <(less than)

6 0
3 years ago
Read 2 more answers
Case Study 2: Maxing out Matched Savings
zhuklara [117]

Answer:

The computation of the given question is shown below:-

Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)

= $250 + $125

= $375  

1. Future Value = PMT [((1 + r)n - 1) ÷ r

Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)

= $347,272

2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years

= $250 × 12 Months × 40 Years

= $120,000

3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years

= $125 × 12 Months × 40 Years

= $60,000

4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer

= $347,272 - $120,000 - $60,000

= $167,272

Step-by-step explanation:

4 0
2 years ago
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