What is the value of the given expression? − 46.38 + (− 24.6)

Answer: 5 fish

Step-by-step explanation:

To evaluate the expression 15.75/3, we can simply divide 15.75 by 3:

15.75/3 = 5.25

Therefore, 15.75 divided by 3 is equal to 5.25.

You can't buy 5.25 fish, so in this case, you round down to 5, the nearest whole.

(b.) 15.75 / 3 = 5.25

Lelani can purchase 5.25 fish, but that's not possible, so rounding down to 5 fish will be the answer!

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Have a great day/night!

~pinetree :)

Answer:

Below

Step-by-step explanation:

If you lose 5 %, you basically have 95 % remaining which is .95 in decimal

y = 1000 * (.95)^x       where x is the number of months  ( x = 9 in this case)

The simplified sum of the expression ∑+1=−1 (2 − 1) is 2.

The given expression is the sum of (2 - 1) from i = -1 to n, where n = 1. Therefore, the expression can be simplified as follows:

∑+1=−1 (2 − 1) = (2 - 1) + (2 - 1) = 1 + 1 = 2

In this case, the value of n is 1, which means that the summation will only be performed for i = -1. The expression inside the summation is (2 - 1), which equals 1. Thus, the summation is equal to 1.

Adding 1 to the result of the summation gives:

∑+1=−1 (2 − 1) + 1 = 1 + 1 = 2

Therefore, the simplified sum of the expression ∑+1=−1 (2 − 1) is 2.

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The exact area of each hexagonal shape is 181.5sqrt(3) cm^2. Option B

To determine the exact area of each hexagonal shape formed by the equilateral triangles, we need to calculate the area of one equilateral triangle and then multiply it by the number of triangles that make up the hexagon.

The formula to calculate the area of an equilateral triangle is:

Area = (sqrt(3) / 4) * side^2

Given that the side of each tile measures 11 cm, we can substitute this value into the formula to find the area of one equilateral triangle:

Area = (sqrt(3) / 4) * (11 cm)^2

= (sqrt(3) / 4) * 121 cm^2

= 121sqrt(3) / 4 cm^2

Now, since the hexagon is formed by six equilateral triangles, we can multiply the area of one triangle by 6 to find the total area of the hexagon:

Hexagon Area = 6 * (121sqrt(3) / 4 cm^2)

= 726sqrt(3) / 4 cm^2

= 181.5sqrt(3) cm^2

Therefore, the exact area of each hexagonal shape is 181.5sqrt(3) cm^2.

The correct answer is B: 181.5√3 cm^2.

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In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

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

Use circumference formula:

Find the radius by rearranging the formula and substituting 32 for C:

Answer:

5.09 in

Step-by-step explanation:

We know that the formula to find the circumference of a circle is:

C = 2πr

Here,

C → Circumference → 32 in

r → radius

Let us find the radius of the circle by substituting the given values.

\(\sf C = 2\pi r\\\\\sf 32 = 2\pi r\\\\Divide\:both\:sides\:by\:2 \pi \:and\:make\:r\:the \:subject\\\\\dfrac{32}{2 \pi} =\dfrac{2 \pi r}{2 \pi} \\\\\red{5.09 \:in=r}\)

Answer:

I think 3

1

hope it helps.

Answer:

the B Number is the correct answer because 0 is in the gap in 3

Answer:

no solutions

Step-by-step explanation:

distribute 7 (n+1) =7n+7=3+7n

subtract 7 from both sides (7n=7n-4)

subtract 7n to get 0=-4

so no solutions

Hope this helps :).

And if you want please consider to give me brainliest.

The equation of the tangent plane is 2x-3y+z = -4

The surface area is π/3 (\(6^{3/2}\) -8)

What is tangent plane?

Tangent plane is the plane through a point of a surface which contains the tangent lines to all the curves on the surface through the equivalent point.

The surface is defined by the function,

r(s, t)=〈s t, s+ t, s−t〉

The partial derivatives

\(r_{s\)= <t, 1, 1>

\(r_{t}\)= <s,1, -1>

Now the cross product that is

\(r_{s\)×\(r_{t\) = <-2, t+ s, t- s>

From the given value we get s= 2 and t=1

so r(2, 1)= < 2, 3, 1>

Now the normal vector to the tangent plane is given by the cross product and the value becomes <-2, 3, -1>

Now the equation of the tangent plane becomes

-2(x-2)+3(y-3)-1(z-1)=0

solving this we get,

2x-3y+z = -4

Now for the 2nd part let us find the surface area over the unit disk.

S=\(\int\limits\int\limits_D| {r_{s}r_{t} | } \, dA\)

|\(r_{s\)×\(r_{t\)|= \(\sqrt{4+(t+s)^{2}+(t-s)^{2} }\)

        = \(\sqrt{4+2(s^{2}+t^{2} ) }\) ----(1)

Here we will take the help of polar coordinate to solve the double integration.

Let,

s= r cosα and t= r sinα

0≤α≤2π and 0≤r≤1  

so expression (1) becomes √(4+2r²)

\(\int\limits\int\limits\sqrt{4+2(s^{2}+t^{2} )} } \, dA\)

=\(\int\limits \, \int\limits {\sqrt{4+2r^{2} } } \, rdrd\alpha\)

At first solving from r for the limit 0 to 1 we get,

\(\frac{1}{6} [6^{3/2} - 4^{3/2} ]\) Then again integrating for α and putting the limit for α we get the value,

π/3(\(6^{3/2}\) -8)

Hence , the surface area is π/3(\(6^{3/2}\)-8)

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Answer:

a=27 b=114

Step-by-step explanation:

I am not 100% sure if this correct as I am an 8th grader, but for a you know that the right angle close to a and 62, they are complementary so a= 90-62. For b, you know triangles always equal 180 degrees, so you add 62+52, then you subtract from 180, then subtract your number after you subtract 180 to 180 again and you should get b, because b is supplementary to the missing angle in the triangle.

Answer:

a= 28, b=114

Step-by-step explanation:

Please see the attached picture for full solution.

∠AFB= 90° as it is a right angle (marked with a little square)

The sum of angles on a straight line is 180°.

Answer: 9

Step-by-step explanation: We know how many boys there are (6) and girls (54). But we need to fill out all of the possible ratios of boys to girls.

To do that, we divide 54 by 6.

54 / 6 = 9

The x coordinates, 6 and 6, add to 6+6 = 12. Then we cut this in half getting 12/2 = 6.

The x coordinate of the midpoint is 6.

The y coordinates, 7 and -5, add to 7+(-5) = 2. Which cuts in half to get 2/2 = 1.

The y coordinate of the midpoint is 1.

Put together, the midpoint is located at (6,1)

Answer:

140 degrees

Step-by-step explanation:

first start by making the given angles equal each other because they are congruent.

2x+28=6x+4

Subtract 4 on both sides

2x+24=6x

subtract 2x on both sides

24=4x

divide both sides by 4 to get x

24/4=4x/4

6=x

next to find the actual number of the angle, plug 6 back into either one of the equations. Im gonna use the first one.

2x + 28

2(6) + 28

12+28= 40

Now that we have the number, we already know that a full circle is 360 degrees so half a circle is 180.

Take 40 and subtract from 180

180-40= 140

Well, m∠1 and m∠3 are congruent by the Vertical Angle Congruent Theorem (VACT). This means that because the angles are opposite of each other, their angles are the same because they are formed by the same two intersecting lines.

Because of this, we can set m∠1 and m∠3 equal to each other:

m∠1 = m∠3

(2x + 28) = (6x + 4)

2x + 28 = 6x + 4

-4x + 28 = 4

-4x = -24

-x = -6

x = 6

Knowing that x equals 6, we can use this to find m∠2. By the Supplementary Angles Theorem (SAT), angles that are on the same line add up to equal 180°. To use the SAT, we need to plug x in to find m∠1 or m∠3, because they are both the same:

x = 6

m∠1 = (2x + 28)

m∠1 = 2(6) + 28

m∠1 = 12 + 28

m∠1 = 40°

m∠3 also equals 40°.

Now that we have the value for ∠1 (or ∠3), we can use the SAT:

m∠2 + m∠3 = 180 ← You could also use m∠1, because they both equal the same!

m∠2 + 40 = 180

m∠2 = 140°

So, the measure of ∠2 is 140°.

If you have any questions, feel free to ask! :)

Answer:

I think that it's 27

Step-by-step explanation:

Because I think that exterior angles cannot be "vertical"

Answer:

Hi Pam

Step-by-step explanation:

Answer:

$8.40!

Step-by-step explanation:

20% of 42 is 8.4

Step-by-step explanation:

\( \frac{60}{100} \times x = 21 \\ x = \frac{21}{ \frac{60}{100} } = 35 \\ \)

a]Cannot occur due to violation of baryon number conservation, b] Can occur,  c] Can occur, d] Can occur but violates lepton number conservation, e] Can occur and f] Cannot o cur due to violation of charge and baryon number conservations.

The answer are as follows-  a) This reaction can occur as it conserves charge, baryon number, and lepton number.

b) This reaction cannot occur as it violates conservation of charge. The right side has one more positive charge than the left side.

c) This reaction cannot occur as it violates conservation of charge. The left side has zero charge while the right side has one positive charge.

d) This reaction can occur as it conserves charge and lepton number. However, it violates conservation of baryon number as the left side has a baryon number of one while the right side has a baryon number of zero.

e) This reaction can occur as it conserves charge, lepton number, and baryon number.

f) This reaction cannot occur as it violates conservation of charge. The left side has a positive charge while the right side has a neutral charge.

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Given :

Insurance cost , $693.00 .

Gas cost , $452.00 .

Average charge per fare , $7.00 .

Tuition fee , $3280.00 .

To Find :

The fare he have to get to pay his fee .

Solution :

Let , number of fair required is n .

Therefore , total profit is :

\(Profit = earning - expenditure \\Profit = 7n - 693-452\\Profit = 7n-1145\)

Now , to pay his fee this profit must be equal to his fee because he don't have other expenditure .

So ,

\(7n-1145=3280\\\\7n=4425\\\\n=\dfrac{4425}{7}\\\\n=632.1\)

But number of rides cannot be in decimal so minimum rides he must get is

632+1 = 633 .

Hence, this is the required solution .

Answer:

4.5

Step-by-step explanation:

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

$139.84

Step-by-step explanation:

if you do 18.75 × 3 it equals 56.25

add up 56.25 + 23.60 + 59.99 and it equals 139.84

Hope this helps!

To solve this problem, we can use a ratio proportion.
Let's assume that the store currently has x part-time workers and y full-time workers.
According to the problem, the ratio of part-time workers to full-time workers is 1:4. Therefore, we can write:
x/y = 1/4
Next, the problem states that if 5 part-time workers were hired, then the ratio would be 3:5. This means that the new ratio of part-time workers to full-time workers would be:
(x+5)/y = 3/5
Now we have two equations with two variables:
x/y = 1/4
(x+5)/y = 3/5
We can solve for x and y by cross-multiplying:
5x = y
15x + 75 = 12y
Substituting 5x for y in the second equation:
15x + 75 = 12(5x)
15x + 75 = 60x
60x - 15x = 75
45x = 75
x = 75/45 = 5/3
Since we can't have a fraction of a worker, we can round up to the nearest whole number.
Therefore, the store has 2 part-time workers and 10 full-time workers.
In summary, using the given ratios and information, we were able to solve for the number of part-time and full-time workers in the store.

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The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.

An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.

In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.

Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.

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-3 < x - 10​

10 is subtracting on the right, then it will add on the left.

-3 + 10 < x

7 < x

the equation that represents the number line below is:

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168

The distance between the building and the ladder is 34.876 foot.

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

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Answer:

Step-by-step explanation:

B or D