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3 years ago

14

When does a compound inequality with OR have a solution that is the entire number line? Can the solution be bounded to one side?

On two sides? Can there be no solution?

1 answer:

dalvyx [7]3 years ago

6 0

Answer:

Concept: Algebraic Analysis

$\geqslant \: \: \: \: \: \: \: \: \: \: \leqslant$
Those two symbols indicate one solution
$< \: \: \: \: \: \: \: >$
Those symbols indicate a range of values
$x < 15 < x$
Indicates two bounded answers
In an inequality there is always a solution

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Problem page a light bulb consumes 2400 watt-hours per day. how many watt-hours does it consume in 3 days and 6 hours?

Volgvan

Calculate for 3 days: 2,400 x 3 = 7,200

Calculate 1 day per hour: 2,400 ÷ 24 = 100
Calculate for 6 hours: 100 x 6 = 600

7,200 + 600 = 7,800 watt-hours

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3 years ago

"Suppose that you are a city planner who obtains a sample of 20 randomly selected members of a mid-sized town in order to determ

frosja888 [35]

Answer: 2.093

Step-by-step explanation:

As per give , we have

Sample size : n= 20

Degree of freedom : df= n-1=19

Significance level : $\alpha: 1-0.95=0.05$

Since , the sample size is small (n<30) so we use t-test.

For confidence interval , we find two-tailed test value.

Using students's t-critical value table,

Critical t-value : $t_{\alpha/2, df}=t_{0.025,19}=2.093$

Thus, the critical value for the 95% confidence interval = 2.093

4 0

3 years ago

What value of n makes the equation true?

Anastasy [175]

Answer:

6

Step-by-step explanation:

$(4^{3} /4)^{3} = 4^{n} \\(4^{2})^{3} = 4^{n} \\4^{6} = 4^{n} \\n=6$

5 0

3 years ago

I really need help with this i beg you !!

sweet-ann [11.9K]

Answer:

The perimeter and area of the square are 56 units and 196 square units, respectively.

Step-by-step explanation:

The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is $\sqrt{2}$ time the length of any of its legs. If the hypotenuse has a measure of $7\sqrt{2}$ , then the legs of the triangle have a measure of $7$ .

Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.

Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:

Perimeter

$p = 4\cdot l$ (1)

Area

$A = l^{2}$ (2)

Where $l$ is the side length of the square.

If we know that $l = 14$ , then the perimeter and area of the square are, respectively:

$p = 4\cdot (14)$

$p = 56$

$A = 14^{2}$

$A = 196$

The perimeter and area of the square are 56 units and 196 square units, respectively.

7 0

3 years ago

Please explain the steps and how I can find the values!!

Xelga [282]

Answer:

a = 4.949

b = 4.949

c = 7

Step-by-step explanation:

c ( hypothenuse ) = 7

to find a, use sine

Sine = $\frac{opposite}{hypothenuse\\}$

Sine 45 = $\frac{a}{7}$

sine of 45 is 0.707

0.707 = $\frac{a}{7}$

multiplt 7 on both sides:

0.707 x 7 = $\frac{a}{7}$ x 7

a = 4.949

to find b, use cosine

Cosine = $\frac{adjacent}{hypothenuse}$

Cos 45 = $\frac{b}{7}$

cos of 45 is 0.707

0.707 = $\frac{b}{7}$

multiply 7 on both sides:

0.707 x 7 = $\frac{b}{7}$ x 7

b = 4.949

6 0

3 years ago