Which has least value when x=100?

Answer:

[tex]x = 1.48 \: and \: y = - 1.38[/tex]

Step-by-step explanation:

[tex]first \: equation[/tex]

[tex]x - 4y = 7[/tex]

[tex]second \: equation[/tex]

[tex]5x + y = 6[/tex]

[tex]from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y[/tex]

[tex]x =7 + 4y \: {equation \: 3}[/tex]

[tex]substitutefor \: x \: in \: equation \: 2[/tex]

[tex]5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ [/tex]

[tex]y = \frac{ - 29}{21} [/tex]

[tex]y = - 1.38[/tex]

[tex]subsitute \: for \: y \: into \: equation \: 3[/tex]

[tex]x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48[/tex]

Answer:

Step-by-step explanation:

Let :

Solving

Solution

Answer:

Step-by-step explanation:

The given information lets us write two equations relating the side lengths.

__

Let L and S represent the lengths of the longer and shorter sides. We are told ...

  S + L + L = 4S . . . . . the perimeter is 4 times the short side length

  L = 4.5 +S

__

Using the second equation to substitute for L in the first equation, we have ...

  S +2(4.5 +S) = 4S

  9 = S . . . . . . . . . . . . . simplify, subtract 3S

  L = 4.5 +S = 13.5

The shortest side is 9 ft; the longer sides are 13.5 ft.

__

Additional comment

The perimeter is 36 ft.

Answer:

its A

Step-by-step explanation:

Answer:

An average test score is the sum of all the scores on an assessment divided by the number of test-takers.

Step-by-step explanation:

I forget

Answer:

1  5/8

Step-by-step explanation:

3/4 -  -7/8

3/4 + 7/8

6/8 + 7/8

13/8 = 1  5/8

Answer:

1 5/8 or 13/8

Step-by-step explanation:

Remove parentheses.

[tex]\frac{3}{4}+\frac{7}{8}[/tex]

Find the Least Common Denominator (LCD) of [tex]\frac{3}{4},\frac{7}{8}[/tex] . In other words, find the Least Common Multiple (LCM) of 4,8.

Method 1: By Listing Multiples

List the multiples of each number.

Multiples of 4 : 4, 8, ...

Multiples of 8 : 8, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 8

Method 2: By Prime Factors

List the prime factors of each number

Prime Factors of 4 : 2, 2

Prime Factors of 8 : 2, 2, 2

Find the union of these primes.

2, 2, 2

Multiply these numbers: 2 * 2 * 2 = 8 ---> This is the LCM.

LCM = 8

---> LCD = 8

Make the denominators the same as the LCD.

[tex]\frac{3\times 2}{4\times 2}+\frac{7}{8}[/tex]

Simplify. Denominators are now the same.

[tex]\frac{6}{8}+\frac{7}{8}[/tex]

Join the denominators.

[tex]\frac{6+7}{8}[/tex]

Simplify.

[tex]\frac{13}{8}[/tex]

Convert to mixed fraction.

[tex]1\frac{5}{8}[/tex]

Answer:

Find x

The angles are corresponding.

We have

x+35°+90°=180 (angles in a triangle)

x= 55°

Please give Brainliest

Answer:

x = 20 degrees

Step-by-step explanation:

I cannot give a thorough explanation but I will show my workings and reasoning.

Reasoning:

Vertically opposite angles are equal

Angles in a triangle add up to 180 degrees

Workings:

35 multiplied by 2 is 70

70 add 90 is 160

180 minus 160 is 20

x = 20

Answer: 0.25 radians

Step-by-step explanation:

The area of the rhombus is 24 square units.

This has to do with the quadrilateral that each side are of the same length.

Given the data:

Length WY is 3 - (-5) = 8 units.

Length XZ is 4 - (-2) = 6 units.

Hence, the area of the rhombus WXYZ is 1/2 of the diagonal length:

1/2 * 8 * 6

= 24 square units.

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Answer:

A

Step-by-step explanation:

Work Shown:

[tex]-4(d-2) < -12\\\\-4d+8 < -12\\\\-4d < -12-8\\\\-4d < -20\\\\d > -20/(-4)\\\\d > 5[/tex]

In the second to last step, the inequality sign flips because we divided both sides by a negative number.

Answer:

(15/360)*whatever the circumferance is

Step-by-step explanation:

Length of arc = 2π * radius * angle/360

And 2π * radius= circumference

Therefor we can replace that in the eqaution so we can do

circumference *angle/360=lengnth of arc

Answer:

the base length is 8 units

Step-by-step explanation:

You can use pythagorean theorem to solve this

3421880 number of the different meals are possible.

The arrangement of the different things or numbers in the number of the ways is called as the combination.

It is given that:-

Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.

So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,

so the number of possible meals to this point is

n = 7  x  10 = 70

Finally, you finish off with a dessert, so the number of meals is:

n = 70 x 4 = 280

Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is

n = 77 x  1010 x  44 = 3421880

Therefore 3421880 different meals are possible.

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Answer:

1 is A. 4

2 is Center: (-3, -4) and radius: 7

3 is C

Let me know if you do change your mind and want work shown !

If the value of x will be 11 degrees. Then the measure of angle ∠AEB will be 72 degrees.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Two lines AC and BD are intersecting each other at point E.

The angle ∠AEB = 7x - 5 and the angle ∠CED = 2(4x - 8).

Then the measure of angle ∠AEB will be

We know the angle ∠AEB and ∠CED are the vertically opposite angle. Then they both are equal.

∠AEB = ∠CED

7x - 5 = 2 (4x - 8)

7x - 5 = 8x - 16

16 - 5 = 8x - 7x

      x = 11

Then the measure of angle ∠AEB will be

∠AEB = 7x - 5

∠AEB = 7 (11) - 5

∠AEB = 77 - 5

∠AEB = 72°

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Answer:

Answer b of the first one

answer of q9

Step-by-step explanation:

(x+iy)(2−3i)=4+i

2x−(3x)i+(2y)i−3yi

2

=4+i

Real

2x+3y

​

​

+

Imaginary

(2y−3x)

​

​

i=4+i

Comparing the real & imaginary parts,

2x+3y=4--------------------------(1)

2y−3x=1----------------------------(2)

Solving eq(1)  &  eq(2),

4x+6y=8

−9x+6y=3

13x=5⇒x=

13

5

​

y=

13

14

​

∴(x,y)=(

13

5

​

,

13

14

​

)

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SIMILAR QUESTIONS

star-struck

If e

x+iy

=α+iβ, then x+iy is called logarithm of α+iβ to the base e.∴log

e

​

(x+iy)=log

e

​

(re

iθ

) =log

e

​

r+iθ where r is modulus value of x+iy & θ be the argument of x+iy If i

α+iβ)

=α+iβ, then α

2

+β

2

 equals

Hard

View solution

>

The modulus of (1 + i) (1 + 2i) (1 + 3i) is equal to

Answer:

Q8.  a.  IR

Q9.  b.  -4

Step-by-step explanation:

Q8- what's the S.S of the inequality: x² + 4 > 2

x² + 4 > 2

⇔ x² > 2 - 4

⇔ x² > -2

Then the set of solutions is all real numbers because  x² is always a positive number which means for all real numbers  x² > -2.

……………………………………………………………………………

Q9- if x + yi = (1 + i)⁴ , then

x + yi = [(1 + i)²]² = [2i]² = 2²×i² = 4×(−1) = −4

(Just remember that (1 + i)² = 2i )

Answer:

15

----

153

15=6+3+1

153=18×17÷2

Make the FG perpendicular bisector. Then draw the square using the perpendicular bisector's points of intersection with the circle, as well as points F and G is the correct procedure. Option C is correct.

The procedure is as follows:

1. A circle's diameter is drawn.

2. Using the approach given in the perpendicular bisector of a segment, draw a perpendicular bisector of the diameter. This is also the circle's diameter.

3. The vertices of the inscribed square are the four points on the circle that result.

The summary describes the basic process for constructing a square inscribed in the circle is to create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

Hence,option C is correct.

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Answer: C

Step-by-step explanation:

C.

Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

Answer:

1. x = -6

2. x = 2

3. x = 6

4. x = 3

5. x = -5

6. x = -1

7. x = 0

8. x = 9

9. x = -4

10. x = 7

Step-by-step explanation:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Answer:

It is the fourth option, D.

Answer:

152

Step-by-step explanation:

950 x 16% simple as that

Answer:

The population was 600 in 1968

Step-by-step explanation:

The population of an island decreased by 40% over 50 years, so the population in 1968 will be equal to 600.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided by the question,

The current population in 2018 = is 360

which is 40% less than the population in 1968.

So, 60% of the total population will be equal to 360.
Let the total population is x.

60% × x = 360

x = (360 × 100)/60

x = 600

Therefore, the population at that time was 600.

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Answer:

35 minutes

Step-by-step explanation:

The total time he walked for last week is

10 * 5 = 50 minutes

Subtract 225 by 50 to find the total time he spend for swimming

225-50 = 175 minutes

Divide 175 by 5 to find the time taken for swimming on each day

175/5 = 35 minutes

Answer:

option number 4 seems sensible!

Step-by-step explanation:

do you mean "base area" ?

and this is relative, friend how the object is placed on the ground.

the way it is depicted, the base is a triangle.

and the area of a triangle is

baseline × height / 2

in our case

11 × 4.3 / 2 = 23.65 cm²

Probality is given by the ratio of the number of the one type of product to the total number of the product .

so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple

so green apple = 10- 7 = 3 apples

The volume of the larger cone is equal to the total volume of the two smaller cones

From the question, we have two equal cylinders.

This means that the cylinders have equal volume.

From the complete question, a large cone is placed in one of the cylinders, while two small cones are placed in the other.

Since the cylinders have equal volumes, then the volume of the large cone equals the sum of the volumes of the smaller cones.

Hence, the volume of the larger cone is equal to the total volume of the two smaller cones

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Answer:

17,964.9 cubic meters

Step-by-step explanation:

Hey there!

The formula for finding the area of a sphere is:

[tex]V=(4/3)\pi r^3[/tex]

Where V is volume, and r is radius

The question already tells us that the diameter is 32.5m

*Remember, the diameter isn't the radius. It is the radius times two*

Now, we have to divide 32.5 by 2 to get the radius

32.5/2 is 16.25

Now we can plug this into the formula

16.25 cubed is 4291 after being rounded to the nearest tenth

Now we multiply 4291 by 3.14 (pi)

4291 x 3.14 is 13473.7 after being rounded to the nearest tenth

Now multiply 13473.7 by 4/3 and then you will get the volume to the sphere

13473.7 x 4/3 is 17964.93333333...

Since it is asking us to round to the nearest tenth of a cubic meter;

The volume of the sphere will be 17,964.9 cubic meters

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter (m³)?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We are asked to find the volume of a sphere, which we can find using the following formula:-

[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]

[tex]\bold{r=d\div2}[/tex]

Replace d with 32.5:-

[tex]\bold{r=32.5\div2}[/tex]

Therefore, the sphere's radius is as follows:-

[tex]\bold{r=16.25}[/tex] m

[tex]\rule{300}{1}[/tex]

Now, let's find the sphere's volume, which, as I mentioned earlier, can be found with the help of this formula:-

[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]

Replace r with 16.25:-

[tex]\bold{V=\dfrac{4}{3} \pi (4291)}[/tex]           Next, we replace π with 3.14:-

[tex]\bold{V=\dfrac{4}{3} \times3.14\times4291}[/tex]

On simplification,

[tex]\bold{V=\dfrac{4}{3} \times13,473.74}[/tex]

On further simplification,

[tex]\bold{V=17,964.9\:m^3}\Longleftarrow\sf{volume\:of\:the\:sphere}[/tex]

[tex]\rule{300}{1}[/tex]