is 17/4 a rational number

1. 54

2. 4

3. 2

4. 60

5.46

Answer:

1. 54

2. 4

3. 2

4. 60

5.46

Answer: 15

Step-by-step explanation:

Answer:

104 robberies

Step-by-step explanation:

No of robberies last year = 171

Robberies for this year reduced by 39%

Percentage robberies of this year reduced to 39%

39% * 171

= 39/100 * 171

= 66.09

That is to say that this year robberies reduced by 66.09

Therefore this year robberies = 171 - 66.09

= 104.31

= 104 to the nearest

whole number

NOTE: don't forget to put the approximation sign in the final answer

Answer:

0.5 or 1/2

Step-by-step explanation:

so we make 6/8 have the same denominator as 1/4 (but if you want to make it harder sure make 1/4 have the same denominator loll)

6/8 = 3/4

3/4 - 1/4 = 2/4 = 1/2

Answer:

0.5 or 1/2

Step-by-step explanation:

hope this he's you

Answer:

Profit on cost will be = 33.33%

The error Luke made when trying to use Cavalieri's principle to show that the two figrues have the same volume is stating that: "corresponding cross-sections have the same area" which is NOT TRUE.

The Cavalieri's principle was named after Bonaventura Cavalieri. The Cavalieri's principle states the volume of two figures are the same if they have the same height and teh same cross-sectional area at every point along the height.

Thus, the two figures have entirely different cross-sectons. Their areas would be diffrent.

Therefore, the error Luke made when trying to use Cavalieri's principle to show that the two figrues have the same volume is stating that: "corresponding cross-sections have the same area" which is NOT TRUE.

Learn more about Cavalieri's principle on:

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Answer:

the height

Step-by-step explanation:

Answer from cadencewest69. thanks cadencewest69!!!  :)

Answer:

you must changed 4 8 and 3 2

Answer: B

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Check out the image, hope it helps!

Answer:

(9, -8)

step-by-step explanation:

if reflected over y-axis, use the formula: (x, y) → (-x, y)

Given :

To find :

Solution :

We know,

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (b_{1} + b_{2}) \times h} }}[/tex]

Now, Substituting the values :

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (20 + 14) \times 5} }}[/tex]

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{5}{2 } \times 34} }}[/tex]

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{5}{ \cancel2 } \times \cancel{34}} }}[/tex]

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=5 \times 17} }}[/tex]

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=85} }}[/tex]

Therefore,

Answer:

85cm²

Step-by-step explanation:

Here we are given a trapezium with base = 20cm and 14cm and height = 5cm . And we are interested in finding the area of the trapezium .

Figure :-

[tex]\setlength{\unitlength}{1.5cm}\begin{picture}\thicklines\qbezier(0,0)(0,0)(1,2.2)\qbezier(0,0)(0,0)(4,0)\qbezier(3,2.2)(4,0)(4,0)\qbezier(1.5,2.2)(0,2.2)(3,2.2)\put(0.8,2.4){$\bf A $}\put(3,2.4){$\bf D $}\put(-0.3,-0.3){$\bf B$}\put(4,-0.3){$\bf C$}\put(4.4,0){\vector(0,0){2.2}}\put( 4.4, 0){\vector(0,-1){0.1}}\put(4.6,1){$\bf 5\ cm$}\put(0, -0.5){\vector(1,0){4}}\put(0, -0.5){\vector( - 1, 0){0.1}}\put(1.7, - 0.9){$\bf 20\ cm $}\put(0.8, 2.8){\vector(1,0){2.5}}\put(0.8, 2.8){\vector( - 1, 0){0.1}}\put(1.7, 3){$\bf 14\ cm $}\end{picture} [/tex]

As we know that the area of trapezium is given by ,

[tex]\longrightarrow\rm Area =\dfrac{1}{2}(sum \ of \ || \ sides)\times height [/tex]

Substitute the respective values in stated formula,

[tex]\longrightarrow\rm Area =\dfrac{1}{2}(20cm +14cm)5cm \\[/tex]

Solve the parenthesis ,

[tex]\longrightarrow\rm Area =\dfrac{1}{2}\times (34cm)(5cm)[/tex]

Simplify by multiplying ,

[tex]\longrightarrow\rm \underline{\underline{\red{{Area = 85\ cm^2}}}}[/tex]

And we are done !

[tex]\rule{200}4[/tex]

Answer:

28.18, rounding it, it would be 28.2 cubic inches

Step-by-step explanation:

V=Pir^2(h/3)

It will represent the change in temperature between midnight and 6, the correct option is C.

H(t) is the rate at which the temperature changes. So, if we integrate H(t), we will get the change of temperature.

In this case, we have:

[tex]\int\limits^6_0 {H(t)} \, dt[/tex]

This will give the change in temperature between 6:00 AM (represented by the 6) and midnight (represented with the 0).

So the correct option is C.

If you want to learn more about integration, you can read:

https://brainly.com/question/18760518

Answer:

n= -2

Step-by-step explanation:

Answer:

230.45

Step-by-step explanation:

81.19% × 283.84

= 0.8119 × 283.84

= 230.45

Answer:

Step-by-step explanation:

Solving steps81.19 % of 283.84

Step 1: Find the percentage value

=> [tex] \frac{283.84}{1} \times \frac{81.19}{100}\\ [/tex]

=> [tex] \frac{23,044.9696}{100}\\ [/tex]

Step 2: Round to 2 dp(decimal points)

=> 230.45

last year deficit x 0,70 = 257,943

so

last year deficit = 368,490

- 30% = x (1 - 30%) = x 0,70

Answer:yes

Step-by-step explanation:

It does show a proportion relationship because it has an upward growth of approximately 5.99999483838and 6x so if you do that together in your calc then you can get that answer please vote 5 stars.

Answer:

7.7

Step-by-step explanation:

Answer:

7:7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

ok if I did this right the answer should be 675. sorry if it's wrong. I hope it's right.

We need 16 in the given expression to create a perfect square trinomial.

Let us say the given expression is:

[tex]x^{2} +8x +k^2[/tex]...............(1)

We can rewrite the above expression as:

[tex]x^{2} +2*x*4 +k^2[/tex].........(2)

The square of a+b is a²+2ab+b².

If we compare (2) with [tex]a^{2} +2ab+ b^{2}[/tex]

We get, a =x, b = 4 and k²=b²

Since b=4

So, k² =4²

k² =16

Put the value of  k² in (1)

We get the expression [tex]x^{2} +8x +16[/tex]

Therefore, We need 16 in the expression [tex]x^{2} +8x+....[/tex]to create a perfect square trinomial.

To get more about polynomials visit:

https://brainly.com/question/2833285

Answer: OPTION C aka 16

Step-by-step explanation:

Answer:

0.7×8.3×2.5÷100×10.7

Step-by-step explanation:

0.7×8.3 =

10.7×2.5

all divided by 100

Answer:

it's B. 8.3

Step-by-step explanation:

Answer:

16:29

Step-by-step explanation:

2u+3u=5u

40/5=8

Each unit represents 8 people

Hence, number of women:

8 x 2= 16

Number of men:

8 x 3 =24

New number of men:

24 + 5 = 29

New ratio:

16:29

Answer:

7 : 8 (men to women)

Step-by-step explanation:

Ratio = 2 : 3 (men to women)

40 people in all

40 / 5 = 8

2 x 8 = 16 (men)

3 x 8 = 24 (women)

16 + 5 = 21

21 : 24

7 : 8

Hope this helps!

(Let me know if I got something wrong!)

Answer:

34/9 or 3 7/9

Step-by-step explanation:

to do this u must turn 5 2/3 into an improper fraction first

5 2/3 is also 17/3

to divide you can multiply the first number by the second numbers reciprocal or flipped numbers

17/3 * 2/3

you flipped 3/2 to make it 2/3

for 17/3 * 2/3 just multiply across

34/9

then you can make that a mixed number

3 7/9

that is your answer

Answer:

the answer is 3 7/9

Step-by-step explanation:

in order to find the answer to this you need to change the mixed fraction into a improper fraction then do the reciprocal on 3/2 would would change to 2/3. Then, since you cant divide fractions you need to multiply 17/3×2/3 which would give you 34/9. But since 34/9 is improper, you need to change it to a mixed fraction and simplify if you can. So that means your final answer should be 3 7/9

♡--------------------------------------------------♡

Using the z-distribution, as we are working with a proportion, the 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).

As long as there are 10 successes and 10 failures in the sample, that is, [tex]n\pi \geq 10[/tex] and [tex]n(1 - \pi) \geq 10[/tex], a confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, the parameters are:

[tex]n = 42, \pi = \frac{15}{42} = 0.3571, z = 1.645[/tex]

We have the [tex]n\pi = 15, n(1 - \pi) = 27[/tex], hence you can find the interval.

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 - 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.2355[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 + 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.4787[/tex]

The 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).

More can be learned about the z-distribution at https://brainly.com/question/25890103

The line plot that shows the difference between the greatest and least practice times is D. A line plot titled 'Piano Practice Times.' The bottom label is time in hours.

A line plot is a type of chart that displays information as a series of data points connected by straight line segments.

Here, the line plot that correctly shows the difference between the greatest and least practice times as three fourths hours is when the numbers on the line are zero, one fourth, one half, three fourths, one, one and one fourth, one and a half, one and three fourths, and two.

Learn more about line plot on:

https://brainly.com/question/15207273

Answer:

i) 2.3× 10⁻¹²

ii)2.3× 10¹⁰

iii)2.3× 10¹³

iv)2.3× 10⁻¹¹

Step-by-step explanation:

The degree and power depends on the position of the decimal. The degree of 10 is negative when the decimal is before 23 and is positive when it's after 23.