Often multiple processing steps are required for data frames, but the intermediate results are often not that important. There are a number of ways to apply functions in succession, but the preferred standard is to use the forward pipe operator. This operator takes whatever expression is on its left hand side and uses this expression as the first argument of the function on its right hand side.

a. True
b. False

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4/2=2

the length of the pool is 48 feet.we can get this answer by using Pythagorean Theorem .

what is Pythagorean Theorem ?

The Pythagorean Theorem is a mathematical formula that relates to the three sides of a right-angled triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In the given question,

Let the length of the rectangular swimming pool be denoted by "L". We can use the Pythagorean Theorem to relate the length, width, and diagonal distance of the pool:

(diagonal distance)² = (length)² + (width)²

Substituting the given values, we get:

60² = L² + 36²

Simplifying and solving for L, we get:

L² = 60² - 36²

L² = 3600 - 1296

L² = 2304

L = √(2304) = 48

Therefore, the length  L of the pool is 48 feet.

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Answer:

Problem 21:

Slope = -3
y-intercept = (0, 7)

Problem 23:

Slope = 1
y-intercept = (0, -2)

Problem 22:

Slope = \(\frac{2}{3}\)
y-intercept = (0, 1)

Step-by-step explanation:

In the slope formula, the coefficient of x (the number times x) is the slope. The number added or subtracted from it is the y-intercept.

In problem 21, -3 is the coefficient of x, so thats the slope. 7 is what's being added, so that is the y-intercept.

In problem 23, 1 is the coefficient of x (a singular x is the same as 1, or -1 if the variable is negative), so thats the slope. -2 is what's being subtracted, so that is the y-intercept.

In problem 22, \(\frac{2}{3}\) is the coefficient of x, so thats the slope. 1 is what's being added, so that is the y-intercept.

hope this helps!

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

A = 201.0619298 cm^2

Step-by-step explanation:

The area of a circle is given by

A  = pi r^2

A = pi ( 8) ^2

A = 64 pi

Letting pi = pi button

A = 201.0619298 cm^2

Answer:

Step-by-step explanation:

Area of a circle is πr²

where r is the radius

From the question r = 8cm

So the area of the circle is

π(8)²

= 64π

= 201.061

Hope this helps you

Answer:

C. 93 cars

Step-by-step explanation:

57 cars + 36 cars = 93 cars

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

353.6

Step-by-step explanation:

White blood cells in average drop of blood = 1.6 * 104 = 166.4

White blood cels in rare drop of blood = 5 * 104 = 520

Difference between the number of white blood cells in a rare drop of blood and the number of white blood cells in an average drop of blood

= 520 - 166.4 = 353.6

Answer:

the gcf of 41 and 48 would be 1

Answer: 1

Step-by-step explanation:

41      48

 /\       /\

1 * 41  1 * 48

The value of expression 30 × 8 is,

⇒ 240

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 30 × 8

Now, We can multiply the expression as;

⇒ 30 × 8

 30

×  8

--------

240

-------

Thus, The value of expression 30 × 8 is,

⇒ 240

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15+2.5x <55

1.15

Inside the triangle is the point of concurrency of the angle bisectors of a triangle.

A point of concurrency is an intersection of three or more lines, rays, segments, or planes, but at least three. If they coincide, then those lines or the rays are regarded as contemporaneous. You create the line segments disregarding the vertices since they must be perpendicular to the midpoint of each side. The circumcenter may be located inside or outside of the triangle as a result. The two concurrent locations that can achieve that are the circumcenter and orthocenter.

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The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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Answer: 0.24z

Step-by-step explanation: If you make 24% a decimal you will get 0.24. Then you make your equation 0.24z or 0.24 x z .

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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Answer:

120

Step-by-step explanation:

n= 5*4= 20

Final cost= 80*(2*20)= 120

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 120/ (1.011^20)= $96.42

Step-by-step explanation:

a = 2i + j - k

b = -1 -7j + k

a × b = (2i + j - k) (-1 + 7j + k)

-2i + 14ij + 2ik - j + 7j^2 + jk + k -7jk - k^2

-2i + 14ij + 2ik -j +7j^2 +jk - 7jk + k - k^2

-2i + 14ij + 2ik - j +7j^2 - 6jk + k - k^2

Answer: 25%.

Step-by-step explanation:

According to the problem it states that the original price is 48 dollars which is 100% cost. We know that 12 is 1/4 of 48 so 1/4 of 100% gives 25%.

Answer:

The answer is -12

Step-by-step explanation:

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself

The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).

Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.

She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.

Mathematical Solution:

Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:

Surface Area = 2lw + 2lh + 2wh,

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:

n × Surface Area = W.

Substituting the value of the Surface Area, we have:

n × (2lw + 2lh + 2wh) = W

2n(lw + lh + wh) = W

n(lw + lh + wh) = W/2

n = W/2(lw + lh + wh).

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Step-by-step explanation:

7y=4x-5

y=(4/7)x-5/7

slope is equal to m where m is

y=mx+b

in this case m is 4/7

so slope =4/7

Answer: a²-5a+4

Step-by-step explanation:

When brackets are next to each other in algebra it means to multiply.

So,

a×a=a²

a×-1=-a (in algebra, you don't write -1a you would just write -a)

-4×a=-4a

-4×-1=+4

So then you would write it like this:

a²-a-4a+4

Then you would simplify it:

a²-5a+4

Hope this helps :)

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.