if a+b=10 and a-b=6,then find the value of (a²+b²)

Answer:

Fat Calories: 342

50% of Total Calories

Step-by-step explanation:

Total calories:

Carbohydrates:

176

Fat:

324

Protein:

148

Total:

176+324+148=648

648/342 = 2

Meaning that half of the calories come from fat.

Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.

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Answer:

diameter of the circle

Step-by-step explanation:

A chord that passes through a circle's centre is a diameter of the circle.

Answer: 436.8

Step-by-step explanation:

Answer:

2x-15

Step-by-step explanation:

Found it on a Phrase translator to equations.

Answer:

  (x, y) = (40, 30)

Step-by-step explanation:

A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.

__

An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:

  y = 110 -2x . . . . . . subtract 2x from both sides

Using this in the first equation gives ...

  3x -4(110 -2x) = 0 . . . . substitute for y

  11x = 440 . . . . . . . . . simplify, add 440

  x = 40 . . . . . . . . . . divide by 11

  y = 110 -2(40) = 30

The solution is (x, y) = (40, 30).

Answer:

See below ~

Step-by-step explanation:

Find the decimal values of the fractions on each side :

Left side                      Right side

⇒ 4/10 = 0.4               ⇒ 2/5 = 0.4

⇒ 1/2 = 0.5                 ⇒ 9/12 = 0.75

⇒ 1/4 = 0.25               ⇒ 2/8 = 0.25

⇒ 3/4 = 0.75              ⇒ 5/10 = 0.5

Hence, the matched fractions are :

4/10 ↔ 2/5

1/2 ↔ 5/10

1/4 ↔ 2/8

3/4 ↔ 9/12

Answer:

Step-by-step explanation:

Answer:

In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful.

Answer:

Niki will pay $425 after the discounts.

Step-by-step explanation:

Cherry originally costs 150$, and you can subtract the discount of 50$ from that to get 100$ total for cherries.

Banana originally costs 200$, and you can subtract the discount of 25$ from the original cost to get 175$ total for bananas.

Watermelon originally costs 125$, and after subtracting the discount of 25$, you can determine the total cost for watermelons, which is 100$.

Mangoes originally costs 75$, subtract the discount of 25$, and you get the total for mangoes at 50$.

Add the costs after discounts (100$ for cherry, 175$ for banana, 100$ for watermelon, 50$ for mangoes), and you get 425$, which is the total cost for the fruit after discounts.

Answer:

A

Step-by-step explanation:

Given equation :

Evaluating the options

A (-2, 5)

Answer:

7/20

Step-by-step explanation:

add the probabilities together and minus it by the LCM which is 20

Answer:

42 mph

Step-by-step explanation:

brainliest/crown please :)

Answer:

is C). 45

Step-by-step explanation:

Answer:

[tex]\sf x=4[/tex]

Step-by-step explanation:

[tex]\sf 5 - 3(2x - 7)=12 - 5(x - 2)[/tex]

To get rid of the parentheses, we'll apply the distributive property. Staring with the left side, multiply -3 by (2x-7).

[tex]\sf 5 - 6x+21=12 - 5(x - 2)[/tex]

5+ 21= 26

[tex]\sf 26 - 6x=12 - 5(x - 2)[/tex]

Now, let's do the same thing to the right side. Multiply -5 by (x-2) »12−5x+10, than add 12+ 10 = 22 .

[tex]\sf 26 - 6x=22 - 5x[/tex]

Combine like terms.

[tex]\sf 26 - x=22[/tex]

Subtract 26 from both sides.

[tex] \sf - x= - 4[/tex]

Multiply both sides by -1.

[tex]\sf x=4[/tex]

Step-by-step explanation:

a scale factor applies to every line, that means also to every side of the polygon.

the area of a polygon is always created out of the product (multiplication) of 2 dimensions (or sides).

while a perimeter is a pure sum of sides.

so the perimeter grows by the same factor as the sides : scale factor 3.

the perimeter of the larger polygon is therefore :

50 × 3 = 150 cm

and the area of the larger polygon ?

remember, that the area is always the product of 2 sides (or the sum of products of 2 sides).

and so, the scale factor enters these multiplications twice, and it gets therefore squared : 3×3 = 9.

so, the area of the larger polygon is then

42 × 9 = 378 cm²

Step-by-step explanation:

since there are answer options we don't need to formally solve the system of equations, we only need to try the first point of every option, and see, where the equations are true.

if we cannot find it for the first point, then we would need to try the same thing for the serving points.

let's put (0, 6) into the first equation :

-2×0² + 6 = 6

6 = 6 true

let's put it into the second equation ;

4×0² + 3×6 = 28

18 = 28 false

that eliminates the first 2 answers.

let's put (-1, 4) into the first equation :

-2×(-1)² + 4 = 6

-2×1 + 4 = 6

-2 + 4 = 6

2 = 6 false

that eliminates the third answer.

let's put (-1, 8) into the first equation :

-2×(-1)² + 8 = 6

-2 + 8 = 6

6 = 6 true

let's put it into the second equation :

4×(-1)² + 3×8 = 28

4 + 24 = 28

28 = 28 true

and because the square function delivers the same result for -1 and +1, it is also true for the second point.

and the 4th answer is therefore correct.

3/4 cups of dry rice can make 3 cups cooked rice

1 cup dry ice can make

==============================

[tex] \large \sf \underline{Question:}[/tex]

Which expression is another way to write 10,000?

==============================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad\quad\large \bold{10 \times 10 \times 10 \times 10}[/tex]

==============================

[tex] \large \sf \underline{Solution:}[/tex]

By getting the answer you just multiply 10 directly by 10 until you get what you are looking for;

Hence, proven.

==============================

Answer:

Step-by-step explanation:

10000

Answer:

C

Step-by-step explanation:

infinite numbers

pi

square root of 80

^all irrational

All of these can be samples but the best example is 6th grade students whose last name begins with "T"; all students in 6th grade

A sample refers to a small portion of a population. Most samples are selected randomly to make sure the sample represents all the population but they can also be selected based on a specific criterium.

One example of this concept is 6th grade students whose last name begins with "T"; all students in 6th grade because the student whose last name begins with "T" are a fraction of all the population. Moreover, they are more likely to represent all the population.

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The trigonometric ratios with their values are based on the triangle will be sin D = 4 / 5, sin C = 3 / 5, sin D x cos D = 12 / 25, tan C x tan D = 1, and cos C x tan D = 16 / 15.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The triangle is given below.

Then the trigonometric ratios with their values are based on the triangle shown in the diagram and will be

sin D = 4 / 5

sin C = 3 / 5

sin D x cos D = 4 / 5 x 3 / 5

sin D x cos D = 12 / 25

tan C x tan D = 3 / 4 x 4 / 3

tan C x tan D = 1

cos C x tan D = 4 / 5 x 4 / 3

cos C x tan D = 16 / 15

More about the trigonometry link is given below.

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Answer:

  d.  94.25 in²

Step-by-step explanation:

The area of this composite figure is the sum of the areas of a semicircle and a triangle. Each of those areas can be found using the appropriate formula:

  semicircle: A = (π/2)r²

  triangle: A = 1/2bh

__

The semicircle has a radius equal to half its diameter. The radius is (10 in)/2 = 5 in. Its area is ...

  A = (3.14/2)(5 in)² = 39.25 in²

The area of the triangle with base 11 in and height 10 in is ...

  A = 1/2bh

  A = 1/2(11 in)(10 in) = 55 in²

The area of the figure is the sum of the areas of the semicircle and triangle, so is ...

  figure area = (39.25 in²) +(55 in²)

  figure area = 94.25 in²

Answer:

Step-by-step explanation:

An easy way to determine the nature of the quadrilateral is to look at the lengths and midpoints of the diagonals. Adding and subtracting the coordinates of one end point from the other can tell what you need to know.

The diagonals of a parallelogram are mutual bisectors. The diagonals of a rhombus are perpendicular. The diagonals of a rectangle are congruent.

__

The difference of end points of diagonal AC is ...

  C -A = (7, 2) -(-6, 1) = (13, 1)

The sum of the end points of diagonal AC is ...

  C +A = (7, 2) +(-6, 1) = (1, 3)

The difference of end points of diagonal BD is ...

  B -D = (0, 7) -(1, -4) = (-1, 11)

The sum of end points of diagonal BD is ...

  B +D = (0, 7) +(1, -4) = (1, 3)

midpoints

The two diagonals have the same end point sum, (1, 3), meaning their midpoints are coincident. The figure is a parallelogram.

lengths

The lengths of the diagonals will be the same if the sum of squares of the coordinates of the end-point differences are the same.

  Σ(C -A)² = 13² +1² = 170

  Σ(B -D)² = (-1)² +11² = 122 ≠ 170 . . . . . not a rectangle

perpendicularity

The diagonals will be perpendicular if the "dot product" of the end-point differences is zero.

  x1·x2 +y1·y2 = 13(-1) +1(11) = -2 ≠ 0 . . . . not a rhombus

The most specific name for this quadrilateral is parallelogram.

_____

Opposite sides of a parallelogram are congruent and parallel.

Adjacent sides of a rectangle are perpendicular. This is not a rectangle, so adjacent sides are not perpendicular.

A parallelogram that is not a rectangle or rhombus is described most specifically as a parallelogram.

Answer:

two solutions B

Step-by-step explanation:

x-3y=4

-2x+6y=3

Answer:

45

Step-by-step explanation:

he have -10$ that means he have loan

he withdraw 8,10and 17 dollars

now his balance is -45$

now he deposited 90 dollars

now

=90-45$

=45$

6 dollars for 12

Step-by-step explanation:

if she paid 5 dollars for 10, you would do 10/ 5 which would get you 2 dollars per apple so she would pay 6dollars for 12 apples

The volume of the oblique cylinder that has the given dimension is: 5,338 cm³.

Volume = πr²h, where h is the height and r is the radius of the oblique cylinder.

Given the following:

Volume of oblique cylinder = πr²h = (3.14)(10²)(17)

Volume of oblique cylinder = 5,338 cm³

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Answer:

= -7

Step-by-step explanation:

given x = 4

12/4 = 3

4 - 3 - 8 = -7