Which statement is false
A. Every integer is also a rational number
B. No rational number is irrational
C. Every rational number is also an integer
D. Every irrational number is also real

Answer:

30,015,566.7 m³ OR 3.0 x 10⁷ m³

Step-by-step explanation:

The formula for finding the volume of a rectangular pyramid is:

V = lwh/3

where l = length

w= width

h = height

(475)(571)(332)/3 = 30,015,566.7 m³ = 3.0 x 10⁷

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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Answer:

cos 30 + sin60 + sin30 - cos60

we know that sin ( 90 -a ) = cos a { and vice versa }

therefore by using this property,

sin ( 90 - 30 ) + sin 60 + sin 30 - sin ( 90-60)

sin 60 + sin 60 + sin 30 - sin 30 =

2 sin 60

That's the answer I got. Tell me if it's correct

Answer:

38

Step-by-step explanation:

119.32/3.14 since 3.14 is pi and c=pi*d

Answer:

d≈37.98

Step-by-step explanation:

C=2πr

d=2r

Solving for d

d=C

π=119.32

π≈37.98074

Answer:

There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Step-by-step explanation:

The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.

In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.

The hypothesis can be defined as:

H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ₄.

Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ\(_{i}\) is different.

The significance level of the test is, α = 0.05.

The decision rule is:

The p-value of the ANOVA test is computed as, p-value = 0.11.

p-value = 0.11 > α = 0.05.

The null hypothesis was failed to be rejected.

Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Answer:

7x.

Step-by-step explanation:

2 + 33 = 7x

35 = 7x

Solution is x = 5.

Answer: 5² + 4

Step-by-step explanation:

Using probability concepts, it is found that the matchings are:

------------------------

------------------------

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Answer:

2

Step-by-step explanation:

Answer:

yes ur friend is correct

Step-by-step explanation:

because the value of x .

The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x

Answer:

25%

Step-by-step explanation:

i think

Answer:

-12.

Step-by-step explanation:

The opposite of -12 is 12.

The opposite of the opposite, which is 12, is -12.

In other words, the opposite of the opposite of a number gives you the starting value.

Answer:

The equation in the slope-intercept form is:

Step-by-step explanation:

Given the equation

\(-2(3x+5y)=10\)

We know that the slope-intercept form of a line equation is

\(y = mx+b\)

where

Writing the equation in slope-intercept form

-2(3x+5y)=10

-6x -10y = 10

Add 6x to both sides

-6x -10y + 6x = 10 +  6x

-10y = 10 + 6x

Divide both sides by -10

-10y / -10 = (10 + 6x) / -10

y = -3/5x - 1

Thus, the equation in the slope-intercept form is:

The logarithmic function can be written exponentially as follows.\(t = 8^y.\)

Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.

The given logarithmic expression is \(log_{8}(t) = y.\)

We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.

Thus, \(log_{8}(t) = y\)

\(t = 8^y\)

Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)

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Answer:

c

Step-by-step explanation:

The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Answer:

We have the coldest value of temperature \(T(\frac{3}{4},0) = -9/16 \). and the hottest value is \(T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}\).

Step-by-step explanation:

We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.

The temperature equation is:

\(T(x,y)=x^{2}+2y^{2}-\frac{3}{2}x\)

Let's take the partials derivatives.

\(T_{x}(x,y)=2x-\frac{3}{2}=0\)

\(T_{y}(x,y)=4y=0\)

So, we can find the critical point (x,y) of T(x,y).

\(2x-\frac{3}{2}=0\)

\(x=\frac{3}{4}\)

\(4y=0\)

\(y=0\)

The critical point is (3/4,0) so the temperature at this point is: \(T(\frac{3}{4},0)=(\frac{3}{4})^{2}+2(0)^{2}-(\frac{3}{2})(\frac{3}{4})\)

\(T(\frac{3}{4},0)=-\frac{9}{16}\)    

Now, we need to evaluate the boundary condition.

\(x^{2}+y^{2}=1\)

We can solve this equation for y and evaluate this value in the temperature.

\(y=\pm \sqrt{1-x^{2}}\)

\(T(x,\sqrt{1-x^{2}})=x^{2}+2(1-x^{2})-\frac{3}{2}x\)  

\(T(x,\sqrt{1-x^{2}})=-x^{2}-\frac{3}{2}x+2\)

Now, let's find the critical point again, as we did above.

\(T_{x}(x,\sqrt{1-x^{2}})=-2x-\frac{3}{2}=0\)            

\(x=-\frac{3}{4}\)    

Evaluating T(x,y) at this point, we have:

\(T(-(3/4),\sqrt{1-(-3/4)^{2}})=-(-\frac{3}{4})^{2}-\frac{3}{2}(-\frac{3}{4})+2\)  

\(T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}\)

Now, we can see that at point (3/4,0) we have the coldest value of temperature \(T(\frac{3}{4},0) = -9/16 \). On the other hand, at the point \(-(3/4),\frac{\sqrt{7}}{4})\) we have the hottest value of temperature, it is \(T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}\).

I hope it helps you!

The requried graphs of both inverse functions of 25. and 27 has been shown.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

25.

The equation of the parabola passing through (1,0) and having vertex (0,-1) is y = x² - 1.

The inverse of the above expression is given as,

y = √[x + 1]

27.

The equation of the line is y = (-1/2)x + 3.

Now inverse of the above equation is given as,
y = -2x + 3

Thus, the requried graphs of both inverse functions of 25. and 27 has been shown.

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Answer:

27.1 dollars

Step-by-step explanation:

II and III only

We split up the integration interval [1, 4] into 3 equally-spaced subintervals of length (4 - 1)/3 = 1 :

[1, 2], [2, 3], [3, 4]

The area over each subinterval [L, R] is either approximated by a trapezoid, whose area will be

1 • (f(L) + f(R))/2

or by a rectangle with height f((L + R)/2) and hence area

1 • f((L + R)/2)

For f(x) = x², the area under f(x) over [1, 4] is approximated by

• using trapezoids (T) :

\(\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}{2\times3} (1^2 + 2\times2^2 + 2\times3^2 + 4^2) = \frac{43}2 = \frac{86}4\)

• using midpoints (M) :

\(\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}3 \left(\left(\frac32\right)^2 + \left(\frac52\right)^2 + \left(\frac72\right)^2\right) = \frac{83}4\)

so T > M. (This eliminates "I only" and "all of the functions".)

For f(x) = √x, the area is approximated by

• T :

\(\displaystyle \int_1^4 \sqrt x \, dx \approx \frac{4-1}{2\times3} (\sqrt1 + 2\sqrt2 + 2\sqrt3 + \sqrt4) \approx 4.646\)

• M :

\(\displaystyle \int_1^4 \sqrt x\, dx \approx \frac{4-1}3 \left(\sqrt{\frac32} + \sqrt{\frac52} + \sqrt{\frac72}\right) \approx 4.677\)

so T < M. (This eliminates "none of the functions".)

The lines that are not intersecting and perpendicular to each other, are not parallel to each other, and are not coplanar are called skew lines.

The four lines that are skew to line EF are AB, GB, CH, and DC.

The lines that are not intersecting and perpendicular to each other, are not parallel to each other, and are not coplanar are called skew lines.

We have,

A line EF on the given square figure.

We have the following lines on the given figure.

DG, CB, HA, FA, FG, GB, AB, EH, ED, DC,CH,

We see that,

FG, FA, EH, and ED are perpendicular and intersecting to line EF.

DG, CB, and HA are parallel to line EF.

So the remaining lines will be skew to line EF

i.e AB, GB, CH, and DC

Thus,

The four lines that are skew to line EF are AB, GB, CH, and DC.

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Answer:

15.The ratio is (√2)/2.

11 A. A=314.2in^2

6.

figure C

Perimeter

3 * (1/2) * (6π) + (1/2) * (18π) = 18π cm

Area

3 * (1/2) * ((3 ^ 2) π) + (1/2) * ((9) ^ 2π) = 54π cm ^ 2

Figure B

Perimeter

6 * (1/2) * (4π) + 2 * (4) = (12π + 8) cm

Area

3 * (4 * 4) = 48 cm ^ 2

11 B. 78.54 cm^2

Step-by-step explanation:

I cant insure they are all right

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

Answer:

\(4 \sqrt{2} \)

Step-by-step explanation:

A square has 4 equal sides.

When you draw a diagonal line in the square, it creates two triangles.

The two sides of the triangle would be 4 and the hypotenuse would be the diagonal.

To find the hypotenuse you use

\(a {}^{2} + b {}^{2} = c {}^{2} \)

So

\(4 {}^{2} + 4 {}^{2} = c {}^{2} \)

Solve

\(16 + 16 = c {}^{2} \\ 32 = c {}^{2} \\ \sqrt{32} = c \\ c = 4 \sqrt{2} \)

The zero of the function are the roots of the function

The zero of the function is 30

The equation of the function is given as:

\(f(x) = 2 -4\sin(x)\)

Set the function to 0

\(2 -4\sin(x) = 0\)

Subtract 2 from both sides of the equation

\(-4\sin(x) = -2\)

Divide both sides by -4

\(\sin(x) = 0.5\)

Take the arc sin of both sides

\(x = \sin^{-1}(0.5)\)

Solve for x

\(x =30\)

Hence, the zero of the function is 30

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Answer:

 x equals 7 times pi over 6 plus 2 times pi times n  and  x equals 11 times pi over 6 plus 2 times pi times n

Step-by-step explanation:

The person who asked the question forgot to show the options which are:

x equals pi over 6 plus 2 times pi times n  and  x equals 5 times pi over 6 plus 2 times pi times n

 x equals 7 times pi over 6 plus 2 times pi times n  and  x equals 11 times pi over 6 plus 2 times pi times n

 x equals pi over 3 plus 2 times pi times n  and  x equals 5 times pi over 3 plus 2 times pi times n

 x equals 2 times pi over 3 plus 2 times pi times n  and  x equals 4 times pi over 3 plus 2 times pi times n

I hope this helped you! :)

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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