Question 4 (4 points
(07.01)
True or False?
K= 3/4 is a solution to the inequality 12-2<12.(4 points)
True
False

pyramid A: 16 + [tex]8\sqrt{5[/tex]

pyramid B: 400 + [tex]8\sqrt{125[/tex]

pyramid A: 4 by 4= 16 cm.

with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh

square root of 5 multiplied by 4 and divided by 2 is 2 root 5

multiply this by 4 sides total for 8 root 5

Add the 8 root 5 to 16

To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125

Answer:

The value of the appropriate test statistic is Z = -2.71.

Step-by-step explanation:

The mean annual starting salaries for college graduates with a degree in Operations Management was $65,000. We would like to determine whether or not this has decreased this year due to the pandemic.

This means that the null hypothesis is that the mean stays the same, that is:

[tex]H_0: \mu = 65000[/tex]

The alternative hypothesis is that it decreased, that is:

[tex]H_a: \mu < 65000[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

65000 is tested at the null hypothesis:

This means that [tex]\mu = 65000[/tex]

Data were collected over the annual starting salaries from a random sample of 40 Operations Management graduates. The average salary is $63,500 in the sample. Assume the standard deviation for the population of annual salaries is $3500.

This means that [tex]n = 40, X = 63500, \sigma = 3500[/tex]

What is the value of the appropriate test statistic?

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{63500 - 65000}{\frac{3500}{\sqrt{40}}}[/tex]

[tex]Z = -2.71[/tex]

The value of the appropriate test statistic is Z = -2.71.

Answer:

144mm²

Step-by-step explanation:

48mm / 4 = 12

12 × 12 = 144mm²

Area = 144mm²

Answer:

Step-by-step explanation:

The sequence you gave is not arithmetic.  I'm assuming the sequence is

21, 6, -9, -24.

d is the common difference between adjacent terms.

a₂ = a₁ + d

6 = 21 + d

d = -15

nth term = a₁ + (n-1)d = 21 - (n-1)15

100 people

6x4= 24

100-24= 76

76÷4= 19

19+4=23

lmk if I'm wrong

9514 1404 393

Answer:

  d.  40

Step-by-step explanation:

Consider the square ...

  (px +q)² = (px)² +2(px)(q) +q² = p²x² +2pqx +q²

Comparing this to your expression, you see ...

  16 = p²   ⇒   p = ±4

  25 = q²   ⇒   q = ±5

  -b = 2pq = 2(±4)(±5) = ±40

The expression is a perfect square trinomial when b = 40.

_____

Additional comment

When the linear term has a negative coefficient, we know the signs of the binomial terms are different. We conventionally write the square with the constant term in the binomial being negative:

  16x² -40x +25 = (4x -5)²

Answer:

2^6 * 3^3

Step-by-step explanation:

1. 6^3 = (2^3) * (3^3)

2. 2^6 = (2^3)^2

3.  ((2^3) * (3^3) * (2^3)^2) / 2^3

4. (3^3) * (2^3)^3 / 2^3

5. (3^3) * (2^3)^2 = (3^3) * (2^6)

Answer:

$1.75

Step-by-step explanation:

2.55÷3=0.85

0.85x2=1.70

8.70-1.70=7

7÷4=1.75

hope this helps

Answer $1.75

Step-by-step explanation

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are here given that the value of,

[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]

And we know that cosine is the ratio of base and hypotenuse. Therefore,

[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]

So we can also say that,

[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]

Let us take the given ratio to be 3x:√22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,

Pythagoras theorem:-

Mathematically,

[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]

where the symbols have their usual meaning.

On substituting the respective values, we have;

[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]

[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]

[tex]\longrightarrow p^2=13x^2 \\[/tex]

[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]

Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,

[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]

[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]

[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]

Now we may use a identity which is ,

[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]

On substituting the respective values, we have;

[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]

[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]

This is the required answer .

Answer:

12897 square feet

Step-by-step explanation:

So first find the area of the square:  

85 * 85 = 7225

Then, the two semi circles together is a full circle. Use the circle area formula,

A = πr^2

The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5

Now:

A = π(42.5)^2

A = 3.14(42.5)^2

A = 3.14(1806.25)

A = 5671.625

Lastly, add the two areas up for the square and circle:

7225 + 5671.625 = 12896.625

Round to nearest tenth: 12897

Answer:

1895

Step-by-step explanation:

Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

Answer:

You need to reword your question , sweetheart!

Step-by-step explanation:

Answer:

18N

Step-by-step explanation:

According to Newtons second law

F ∝ a

F =  ka

k is the constant of proportionality

When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s2, hence;

8 = 4k

k = 8/4

k = 2

If a = 9m/s², F = ?

Recall F = ka

F = 2 * 9

F = 18N

Hence the force will be 18N

Answer:

345.6

Step-by-step explanation:

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.

Answer:

top=170mm squared

shape 2=76.27 cm squared

shape 3=62.862 cm squared

Step-by-step explanation:

top shape...

(18x15)-4(5x5)=area

270-4(25)=area

270-100=area

170=area

shape 2...

diameter of circle is 6 so radius is 3...

area=pier^2

a=28.27 and their are two half circles so that makes one whole circle

(8x6)+28.27=76.27 cm squared

shape 3...

total of rectangle with a half circle subtracted.  r=4 d=8

so

11x8=88 for rectangle then subtract half circle

a=pie r^2

a=50.27

50.27/2=25.135 subtract this from rectangle total...

88-25.135=62.862 cm squared

Answer:

5 times

Step-by-step explanation:

1/6·30=5

so your answer is b)5

Can i have a brainliest please or 10 points?

Answer:

your answer will be P=27

Step-by-step explanation:

hope it helps...

Answer:

B) 1/3

Step-by-step explanation:

If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.

Answer:

138.16

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Volume of juice

[tex] = 3.5 \times 6 \times 9 \\ = 189 \\ \approx \: 200 \: {cm}^{3} [/tex]

Answer: D

Step-by-step explanation: To reflect each point across the y-axis you take the opposite of the x-coordinate

Answer:

37.5

Step-by-step explanation:

16/46 = 20/(20+x)

or, 16(20+x) = 46×20

or, 320 + 16x = 920

or, 16x = 600

or, x = 600/16

x = 37.5

Answer:

56.6 yd

Step-by-step explanation:

in the picture above

pls mark as brainliest

Answer:

200

Step-by-step explanation:

Length*Width*Hight= 4*10*5=200

hope this helps

Answer:  I am pretty sure it is 200

Step-by-step explanation:

I may be wrong sorry if it is have a good day :)

Step-by-step explanation:

A. r=42/2=21

B.

[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]

C.

[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]