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3 years ago

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The standard distance that has to be travelled by a rocket in 1 second is 7.9 km. A new rocket is built for a space expedition b

ut the distance that can be travelled by the new rocket in an hour is only 3.75 10 km.
(i) What is the standard distance, in km, that has to be travelled by a rocket in an hour?

(ii) What is the difference between the distance that can be travelled by the new rocket and the standard distance required in an hour?

1 answer:

jeka57 [31]3 years ago

7 0

Step-by-step explanation:

What is the difference between the distance that can be travelled by the new rocket and the standard distance required in an hour?

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Jon is making hamburgers for a church lunch. He has 42 and two thirds lbs of ground beef. How many one third pound hamburgers ca

lys-0071 [83]

Answer:

He can make <u>128</u> one third pound of hamburgers using all the ground beef.

Step-by-step explanation:

Given:

Jon is making hamburgers for a church lunch. He has 42 and two thirds lbs of ground beef.

Now, to find the number of one third pound hamburgers can he make using all the ground beef.

Pound of ground beef he has = $42\frac{2}{3} \ lbs.$

Pound of hamburgers he can make = $\frac{1}{3}$ .

Now, to get the number of hamburgers he can make by using all the ground beef we divide the quantity of ground beef by $\frac{1}{3}$ :

$\frac{128}{3} \div\frac{1}{3}$

<em>As, the division changes into multiplication one of the fraction get reciprocals.</em>

$=\frac{128}{3} \times \frac{3}{1}$

$=\frac{384}{3}$

$=128.$

<em><u>Thus, 128 hamburgers he can make.</u></em>

Therefore, he can make 128 one third pound of hamburgers using all the ground beef.

8 0

3 years ago

Which function has the domain x>-11

Marat540 [252]

<h2>Answer</h2>

$y=\sqrt{x+11} +5$

<h2>Explanation</h2>

Remember that the square root function is not defined, in the set of real numbers, for negatives values, so its radicand (the thing inside the square root) must be zero or bigger than zero. In other words, to find the domain of a square root function, you should set the thing inside the radical bigger or equal to zero and solve for x. Let's find the domain of each one of our functions:

For $y=\sqrt{x+11} +5$

The thing inside the square root is $x+11$ , so we are setting that bigger or equal than zero and solve for x to find the domain of the function:

$x+11\geq 0$

$x\geq -11$ domain

For $y=\sqrt{x-11} +5$

$x-11\geq 0$

$x\geq 11$ domain

For $y=\sqrt{x-5} -11$ and $y=\sqrt{x-5} +11$

$x+5\geq 0$

$x\geq -5$ domain

As you can see, the only one that has the domain $x\geq -11$ is the first choice.

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4 years ago

A random sample of 121 students from the University of Oklahoma had a sample mean ACT score of 23.4 with a sample standard devia

Grace [21]

Answer:

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 121

Sample mean = 23.4

Sample standard deviation = 3.65

Level of significance = 0.05

Degree of freedom

$= n - 1 = 120$

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Calculation of critical value:

$t_{critical}\text{ at degree of freedom 120 and}~\alpha_{0.05} = \pm 1.9799$

Putting the values, we get,

$23.4\pm 1.9799(\dfrac{3.65}{\sqrt{121}} )\\\\ = 23.4 \pm 0.6569\\\\ = (22.7431 ,24.0569)\approx (22.74,24.06)$

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

5 0

3 years ago

Which sign makes the statement true?<br> 590 ? 5 × 10^2<br> (>) (<) (=)

ludmilkaskok [199]

Answer:

>

Step-by-step explanation:

5 × 10^2 = 500

so 590 is greater than or > 5 × 10^2 or 500

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3 years ago

How can we describe the relationships that exist between circles and lines?

Lunna [17]

circles are 360⁰ and lines are 180⁰

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2 years ago