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LekaFEV [45]
3 years ago
12

−3z+6b−7

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0

In −3z+6b−7, the first term is -3z. It's a variable term, since z is assumed to be a variable. The coefficient of this variable, z, is -3.

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Lisa sold her old bike for $140 less than she paid for it. She sold the bike for $85. Write and solve and equation to find how m
rodikova [14]

Answer:

Equation=$140+$85=$225

Step-by-step explanation:

If she sold her bike for $140 less than she paid for it, and she sold it for $85, you add 140 to 85 to get out much she paid for. To check your answer do 225-140=85.

4 0
3 years ago
Somebody help me with this please .
erastova [34]

Step-by-step explanation:

12. Cos 60° = 8/c

0,5 = 8/c

0,5 c = 8

c = 16

D² = V16²-8²

= V256-64

=V192 = V16×12 = 4V12

= 4V4×3 = 8V3

13. Cos 30° = 6/b

V3/2 = 6/b

V3 b = 12

b = 12/V3

b/Sin B = a /sin A

b/Sin90° = 6/ sin 60°

<u>b</u> = <u> </u><u> </u><u> </u><u>6</u><u> </u><u> </u><u> </u>

1 V3/2

b× <u>V3</u> = 6

2

b = 6× 2/V3

= 12/V3

8 0
3 years ago
Describe the process of rewriting the expression Please Help
Mazyrski [523]

Answer:

x^{\frac{21}{4} }

Step-by-step explanation:

Given expression is:

(\sqrt[8]{x^7} )^{6}

First we will use the rule:

\sqrt[n]{x} = x^{\frac{1}{n} }

So for the given expression:

\sqrt[8]{x^{7}}=(x^{7} )^{\frac{1}{8} }

We will use tha property of multiplication on powers:

=x^{7*\frac{1}{8} }

= x^{\frac{7}{8} }

Applying the outer exponent now

(x^{\frac{7}{8} })^6

= x^{\frac{7}{8}*6 } \\= x^{\frac{42}{8} }\\= x^{\frac{21}{4} }

8 0
3 years ago
A random sample of 16 one-kilogram sugar packets is obtained and the actual weights of the packets are measured. The sample mean
elena55 [62]

Answer:

The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.

Step-by-step explanation:

We are in posession of the sample's standard deviation, so we use the student's t-distribution to find the confidence interval.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 35 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.905([tex]t_{995}). So we have T = 2.9467

The margin of error is:

M = T*s = 2.9467*0.058 = 0.171

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.053 - 0.171 = 0.882kg

The upper end of the interval is the sample mean added to M. So it is 1.053 + 0.171 = 1.224 kg.

The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.

3 0
3 years ago
The wholesale price for a desk is $147 . A certain furniture store marks up the wholesale price by $30 . Find the price of the d
oee [108]

Answer:

$191.10

Step-by-step explanation:

N/A

8 0
3 years ago
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