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OleMash [197]
3 years ago
6

How do you write the standard number 3,500 in scientific notation? A. 3.5 × 101 B. 3.5 × 105 C. 3.5 × 103 D. 3.5 × 104

Mathematics
1 answer:
Svet_ta [14]3 years ago
7 0

Answer:

C 3.5*10^3

Step-by-step explanation:

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Who did you vote for Biden or trump
Schach [20]

Answer:

biden

Step-by-step explanation:

:)

4 0
3 years ago
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The rate of change of the function f(x) = 8 sec(x) + 8 cos(x) is given by the expression 8 sec(x) tan(x) − 8 sin(x). Show that t
liq [111]

Answer:

Shown - See explanation

Step-by-step explanation:

Solution:-

- The given form for rate of change is:

                              8 sec(x) tan(x) − 8 sin(x).

- The form we need to show:

                              8 sin(x) tan2(x)

- We will first use reciprocal identities:

                              8\frac{sin(x)}{cos^2(x)} - 8sin(x)

- Now take LCM:

                            8\frac{sin(x)- sin(x)*cos^2(x)}{cos^2(x)}

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

                            8*sin(x)*\frac{1- cos^2(x)}{cos^2(x)} = 8*sin(x)*\frac{sin^2(x)}{cos^2(x)}

- Again use pythagorean identity tan(x) = sin(x) / cos(x):

                            8*sin(x)*tan^2(x)

8 0
3 years ago
Read 2 more answers
Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
LUCKY_DIMON [66]
Hope you know that formula for volume of a cube is area of base time height 
and volume of a square pyramid is area of base time height divide 3 
- so in this your exercise case we know that area of cube is 36 cm^3 what is area of base time height 
- so this mean that the volume of a square pyramide what can fit perfectly inside the cube will be equal 36/3 = 12 cm^3
5 0
3 years ago
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Consider the hypotheses below. Upper H 0​: mu equals 50 Upper H 1​: mu not equals 50 Given that x overbar equals 60​, s equals 1
Neko [114]

Answer:

We conclude that  \mu\neq 50.

Step-by-step explanation:

We are given that x bar = 60​, s = 12​, n = 30​, and alpha = 0.10

Also, Null Hypothesis, H_0 : \mu = 50

Alternate Hypothesis, H_1 : \mu \neq 50

The test statistics we will use here is;

                    T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~  t_n_-_1

where, X bar = sample mean = 60

              s = sample standard deviation = 12

              n = sample size = 30

So, Test statistics = \frac{60-50}{\frac{12}{\sqrt{30} } } ~ t_2_9

                             = 4.564

At 10% significance level, t table gives critical value of 1.311 at 29 degree of freedom. Since our test statistics is more than the critical value as 4.564 > 1.311 so we have sufficient evidence to reject null hypothesis as our test statistics will fall in the rejection region.

P-value is given by, P(t_2_9 > 4.564) = less than 0.05% {using t table}

Here also, P-value is less than the significance level as 0.05% < 10% , so we will reject null hypothesis.

Therefore, we conclude that \mu\neq 50.

7 0
3 years ago
How can I find the y-intercept of 3x-2y≤10?
frosja888 [35]

Answer:

Step-by-step expla3

x − 2 y < 10

Solve for  y .

Tap for more steps...

y > − 5+ 3 x 2

Find the slope and the y-intercept for the boundary line.

Tap for more steps...

Slope:  

3 2

y-intercept:  

( 0 , − 5 )

Graph a dashed line, then shade the area above the boundary line since  

y

is greater than  

− 5 + 3 x 2 . y > − 5 +3 x2

4 0
2 years ago
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