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3 years ago

Write the coordinate of the point in the diagram.

Mathematics

1 answer:

mash [69]3 years ago

8 0

Answer:

(2, 2, 1)

Step-by-step explanation:

You can see that the point is moved 2 units (x axis), 2 units (y axis) and 1 unit (z axis). Because you write coordiantes as (x,y,z), you write (2,2,1)

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Using the Factor Theorem, which of the polynomial functions has the zeros 4, <img src="https://tex.z-dn.net/?f=%5Csqrt7" id="Tex

Serjik [45]

Answer:

Step-by-step explanation:

According to the Factor Theorem, if (x - a) is a factor (where a is a zero) of the polynomial P(x), then P(a) must equal zero.

Our zeros are 4, √7, and - √7. Hence, when evaluating P(4), P(√7), and P(-√7), all must evaluate to zero.

Testing each choice, we can see that only choice B is true. That is:

$\displaystyle \displaystyle \begin{aligned} f(4)&= (4)^3 - 4(4)^2 - 7(4) + 28 \\ &= (64) - (64) - (28) + 28 \\ &= 0 \stackrel{\checkmark}{=}0 \\f(\sqrt{7}) &= (\sqrt{7})^3 - 4(\sqrt{7})^2 - 7(\sqrt{7}) + 28 \\ &= (7\sqrt{7}) - (28) - (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0\\ f(-\sqrt{7}) &= (-\sqrt{7})^3 - 4(-\sqrt{7})^2 - 7(-\sqrt{7}) + 28 \\ &= (-7\sqrt{7}) - (28) + (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0 \end{aligned}$

In conclusion, our answer is B.

8 0

3 years ago

One of the questions in the Pew Internet & American Life Project asked adults if they used the Internet, at least occasional

Marizza181 [45]

Answer:

Part (a) The point estimate of the proportion of adults aged 18 to 29 who use the Internet is 0.9498.

Part (b) The point estimate of the proportion of adults aged 30 to 49 who use the Internet is 0.8896.

Part (b) Estimate of the proportion of population who use the Internet is 0.7624.

Step-by-step explanation:

Consider the provided information.

Part (a) point estimate of the proportion of adults aged 18 – 29 who use the Internet

The results showed that 454 out of 478 adults aged 18-29 answered yes;

$\hat p=\frac{454}{478}=0.9498$

The point estimate of the proportion of adults aged 18 to 29 who use the Internet is 0.9498.

Part (b) Develop a point estimate of the proportion of adults aged 30-49

741 out of 833 adults aged 30-49 answered yes;

$\hat p=\frac{741}{833}=0.8896$

The point estimate of the proportion of adults aged 30 to 49 who use the Internet is 0.8896.

Part (c) Suppose your target population of interest is that of all adults (18 years of age and over). Develop an estimate of the proportion of that population who use the Internet.

$\hat p=\frac{454+741+1058}{478+833+1644}$

$\hat p=\frac{2253}{2955}=0.7624$

Estimate of the proportion of population who use the Internet is 0.7624.

7 0

3 years ago

How do you simplify 7x×4y×2y^2

belka [17]

The answer is: 56xy³
_______________________________
Explanation:
_______________________________
Find the "like terms"; which are:
_______________________________
"4y" and "2y²"
_______________________________
The remaining term is: "7x".
_____________________________________
The problem is a "multiplication problem" :
___________________________________________
7x * 4y * 2y² ; so start by multiplying the "like terms" :
___________________________________________
4y * 2y² = 8y³
____________________________________________
Then the remaining term is "7x";
so, multiply that by our obtained value: "8y³ " :
_____________________________________________
7x * 8y³ = 56xy³ ; which is our answer:
___________________

6 0

3 years ago

3/5 of the students in a classroom are girls if there are 10 boys in the class how many total students are there

nata0808 [166]

16 students is the correct answer...
for every 5 boys there are 3 girls, so 20 boys 6 girls = the total of 16 students

8 0

3 years ago

The lead statue of the Korean War Memorial in Washington DC casts a 43.5 inch shadow at the same time a nearby tourist casts a 3

AfilCa [17]

Answer:

The lead statue is 87 inches tall

Step-by-step explanation:

Let

x ----> the height of the lead statue

using proportion

we know that

The height of the lead statue divided by the length of his shadow must be equal to the height of the tourist divided by the length of his shadow.

$\frac{x}{43.5}=\frac{64}{32}\\\\\frac{x}{43.5}=2\\\\x=2(43.5)\\\\x=87\ in$

3 0

3 years ago