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3 years ago

Translate the phrase, then simplify. Find the sum of - 41, -8, and 36.

Mathematics

2 answers:

Novay_Z [31]3 years ago

6 0

Answer:

-13

Step-by-step explanation:

-41 + -8 + 36

-49 + 36

-13

goblinko [34]3 years ago

5 0

-41 + -8 + 36
Which is -13

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What is the exact circumference of a circle with a radius of 17 millimeters?

anzhelika [568]

The equation of a circumference is 2 $\pi$ r. Since we know that r=17, we plug that into the formula, and get an answer of C. 34

7 0

3 years ago

Read 2 more answers

Each ice cream cone at Izzy's Ice Cream Parlor contains $\frac{1}{32}$ of a gallon of ice cream. If Izzy has $\frac{3}{4}$ of a

harkovskaia [24]

Answer: 24 cones.

Step-by-step explanation:

We know that each cone contains 1/32 of a gallon of ice cream.

And Izzy has a total of 3/4 gallons.

How many cones we can make with this? This will be equal to the quotient between 3/4 gallons and 1/32 gallons, which will be equal to the number of times that we can fit 1/32 in 3/4

this is:

N = (3/4 gal)/(1/32 gal) = 24

This means that we can make 24 ice cream cones with 3/4 gal of ice cream.

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3 years ago

Suppose the population standard deviation is σ = 5 , an SRS of n = 100 is obtained, and the confidence level is chosen to be 98%

beks73 [17]

Answer:

1.165.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.33$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$\sigma = 5, n = 100$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$M = 2.33*\frac{5}{\sqrt{100}} = 1.165$

So the correct answer is:

1.165.

6 0

3 years ago

Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)

Blizzard [7]

Answer:

One possible equation is $f(x) = (x + 3)\, (x - 5)$ , which is equivalent to $f(x) = x^{2} - 2\, x - 15$ .

Step-by-step explanation:

The factor theorem states that if $x = x_{0}$ (where $x_{0}$ is a constant) is a root of a function, $(x - x_{0})$ would be a factor of that function.

The question states that $(-3,\, 0)$ and $(5,\, 0)$ are $x$ -intercepts of this function. In other words, $x = -3$ and $x = 5$ would both set the value of this quadratic function to $0$ . Thus, $x = -3\!$ and $x = 5\!$ would be two roots of this function.

By the factor theorem, $(x - (-3))$ and $(x - 5)$ would be two factors of this function.

Because the function in this question is quadratic, $(x - (-3))$ and $(x - 5)$ would be the only two factors of this function. In other words, for some constant $a$ ( $a \ne 0$ ):

$f(x) = a\, (x - (-3))\, (x - 5)$ .

Simplify to obtain:

$f(x) = a\, (x + 3)\, (x - 5)$ .

Expand this expression to obtain:

$f(x) = a\, (x^{2} - 2\, x - 15)$ .

(Quadratic functions are polynomials of degree two. If this function has any factor other than $(x - (-3))$ and $(x - 5)$ , expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of $a$ corresponds to a distinct quadratic function with $x$ -intercepts $(-3,\, 0)$ and $(5,\, 0)$ . For example, with $a = 1$ :

$f(x) = (x + 3)\, (x - 5)$ , or equivalently,

$f(x) = x^{2} - 2\, x - 15$ .

6 0

2 years ago

An advertiser that uses ad scheduling has a custom bid adjustment for 9pm- 12am on weeknights. The normal bid is USD$0.40 and th

nika2105 [10]

Answer:

The answer is option D: the advertiser is bidding $0.70 between 9 pm-12 am on weeknights.

Step-by-step explanation:

The normal bid is $0.40 and the bid multiplier is 75%.

This amount becomes:

$0.40+(0.75\times0.40)$

= $0.70 (OPTION D)

So, the advertiser is bidding $0.70 between 9 pm-12 am on weeknights.

6 0

3 years ago