Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) − 5. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted right 5 units. B. The graph of h is the graph of g horizontally shifted left 5 units. C. The graph of h is the graph of g vertically shifted up 5 units. D. The graph of h is the graph of g vertically shifted down 5 units.

Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

We have to given that;

From a group of 5 and 3 girls , A boy and A girl will be selected to attend a conference.

Now, We know that;

Number of ways to choose 1 boy in group of 5 boys,

⇒ ⁵C₁

And, Number of ways to choose 1 girl from group of 3 girls,

⇒ ³C₁

Hence, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is,

⇒ ⁵C₁ x ³C₁

⇒ 5! /1! 4! × 3! / 1! 2!

⇒ 5 × 3

⇒ 15

Thus,  Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

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Answer and Step-by-step explanation:

Solution:

(a) 8 + 3

Convert into BCD:

8 = 1000

3 = 0011

Add them:

8 + 3 = 11

1000 + 0011 = 1011

Answer is correct.

(b) 43 + 72

Convert into BCD:

43 = 0100 0011

72 = 0111 0010

Add them:

43 + 72 = 115

0100 0011 + 0111 0010 = 0001 0001 0101

(c) 12 + 16

Convert into BCD:

12 = 0001 0010

16 =0001 0110

Add them:

12 + 16 = 28

0001 0010 + 0001 0110 = 0010 1000

00101000 = 00101000

Hence Answer is correct.

(d) 47 + 38

Convert into BCD:

47 = 0100 0111

38 =0011 1000

Add them:

47 + 38 = 85

0100 0111 + 0011 1000= 1000 0101

(e) 36 + 22

Convert into BCD:

36=0011 0110

22=0010 0010

Add them:

36 + 22 = 85

0011 0110 + 0010 0010 = 1000 0101

(f) 80 + 23 + 72

Convert into BCD:

80 =1000 0000

23 = 0010 0011

72 = 0111 0010

Add them:

80 + 23 + 72 =175

1000 0000 +0010 0011+ 0111 0010 = 0001 0111 0101

(g) 12 + 89

Convert them into BCD:

12 = 0001 0010

89 = 1000 1001

Add them:

12 + 89 = 101

0001 0010 + 1000 1001 = 0001 0000 0001

(h) 99

Convert into BCD:

99 = 1001 1001

These triangles are congruent under the SAS congruence criterion. The angles that face each other at the tip of these two triangles are vertically opposite angles, so their measures will be equal. It is already given that two sides of these two angles are equal. Since two sides and one included angle is equal, the SAS congruence criterion can be used to prove that this triangle is congruent.

These triangles are congruent under the SSS congruence criterion. This criterion states that if all three sides of two triangles are equal then they are congruent triangles. Since two sides and one included/common side of these triangles are equal they can said to be congruent under the SSS congruence criterion.

These triangles can be proved to be congruent using the SAS congruence criterion. Let us prove it using the following steps :

Given :

In triangle 1 :

In triangle 2 :

Since two sides and one included angles of both these triangles are equal, we can conclude that they are congruent under the SAS congruence criterion.

Answer:

lady strange is the best

Step-by-step explanation:

The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

Given:

The initial length of the image, l = 6 inches,

The initial width of the image, w = 4 inches,

The reduced length of the image, L = 4 inches,

The area of the initial image = The area of the reduced image,

l × w = L × W

Here W is the reduced width.

Substitute the values,

6 × 4 = 4 × W

W = 6 inches,

Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

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Answer:

7 grams = 7000 milligrams

Step-by-step explanation:

Multiply the mass value by 1000

HOPE THIS HELPS AND HAVE A NICE DAY <3

Total calories in  4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate

Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.

Thus total calories from given diet is = 4×4+4×3+9×3

                                                             =16+12+27

                                                            =56

Hence, Total calories in  4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56

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Because the object is moving slowly toward the bottom and the positive y-direction points upward, the object has a positive value for ay.

Motion is the shift in an object's location with regard to time. Motion can be quick or slow, but motion is still present. Due to the significance of motion in the physical world, it is crucial that we pay proper attention to the study of motion. Generally speaking, the following phrases are used to describe motion

With the use of equations and derivations, understanding the numerical of physics can be tedious, but with the aid of graphs, it is both entertaining and simple to understand what the answer is describing.

Since they are used in nearly all of the topics in physics, graphs are essential. Give us more information about various graphs in this article.

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Answer:

190

Step-by-step explanation:

19 × 10 =190

if you multiply it it will be ten times larger

Answer:

190

Step-by-step explanation:

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

The answer is (a²+1)(2a+1)

The amount of juice served this year is given as follows:

513 gallons.

The amount of juice served this year is obtained applying the proportions in the context of the problem.

The amount last year was given as follows:

540 gallons.

The percentage of this year's amount relative to last year's amount is given as follows:

95%, due to the decay of 5%, 100 - 5 = 95%.

Hence the amount of juice served this year is given as follows:

0.95 x 540 = 513 gallons.

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Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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32/p=10/440

10p=14080

p=1408

Answer:

Step-by-step explanation:

5/8

Odds against event are 5:8

Means ration of not happening of work =

5/8

Sample space has 8+5=13 possibilities

Probability it being to work=

8/13

​

​

Answer: Less than.

Step-by-step explanation:

\(\sqrt{8}\) is less than 4 because \(4^{2}\) is 16. And \(\sqrt{8} ^{2}\) is 8.

Answer: 1 1/4

5/4

Step-by-step explanation:

\(\frac{1}{2} + \frac{3}{4}\)  (im assuming its 3/4)

make 1/2 into 2/4 so its easier to add

2/4 + 3/4 = 5/4 or 1 1/4

The average rate of change of f over the interval [12, 16] is approximately 0.331.

What is the average rate of change?

The average rate of change of a function f(x) over an interval [a, b] is given by the formula:

Average Rate of Change = (f(b) - f(a))/(b - a)

In this case, we are given the function f(x) = √ x + 5, and the interval [12, 16]. Therefore, the average rate of change of f over this interval is:

(f(16) - f(12))/(16 - 12)

= (√16 + 5 - √12 + 5)/4

= (√21 - √17)/4

≈ 0.331

Therefore, the average rate of change of f over the interval [12, 16] is approximately 0.331.

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Answer:

9.4 miles approx.

Step-by-step explanation:

Answer:

9.4 miles to the nearest tenth.

Step-by-step explanation:

This run forms a right angled triangle with legs of 5 and 8 miles.

By Pythagoras:

x^2 = 8^2 + 5^2

x = √(64+25) = √89

x = 9.434 miles

Answer:

\(x = -20\)

Step-by-step explanation:

Use inverse operations and simplification to isolate the variable in the equation.

\(-\frac{2}{5}x + 7 = 15\\-7\\\\-\frac{2}{5}x = 8\\\)

Now divide the equation by \((-\frac{2}{5})\) remember, dividing a fraction is the same as multiplying by the reciprocal. The reciprocal of a fraction is when one switches the places of the numerator (number on top of a fraction bar), and the denominator (number on the bottom of the fraction bar).

\(-\frac{2}{5}x = 8\\\)

÷\(-\frac{2}{5}\)

\(x = 8 * (-\frac{5}{2})\)

Simplify,

\(x = 4 *(- 5)\\\\ x= -20\)

Answer:

7

Step-by-step explanation:

If he ended up with 20 half pieces, then he cut 10 pieces in half since 20/2 = 10.

Before starting to cut he got 3 more pieces, so he had 3 fewer than 10.

Answer: He started with 7 pieces of paper.

Check:

Start with 7 pieces of paper.

Add 3 pieces of paper to end up with 10 pieces of paper.

Cut the 10 pieces of paper to end up with 20 half pieces.

He did end up with 20 half pieces, so he started with 7.

If the base triangle has a base of 8 meters and a height of 6.9 meters. the surface area of the pyramid is 139.6 square meters.

First, let's find the area of the base triangle:

Area of base triangle = (1/2) * base * height

Area of base triangle = (1/2) * 8 * 6.9

Area of base triangle = 27.6 square meters

Now, let's find the area of one of the triangular faces:

Area of triangular face = (1/2) * base * height

Area of triangular face = (1/2) * 8 * 7

Area of triangular face = 28 square meters

Since the pyramid has four triangular faces, the total area of the triangular faces is 4 times the area of one triangular face, which is:

4 * 28 = 112 square meters

Total surface area = area of base triangle + area of triangular faces

Total surface area = 27.6 + 112

Total surface area = 139.6 square meters

Therefore, the surface area of the pyramid is 139.6 square meters.

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The first number is 9 * 10^8

The second number = 30,000,000 = 3 * 10^7

so, the larger number is 9 * 10^8 because the power of 10 is the larger than the other number

To find how much is larger, divide 9 * 10^8 by 3 * 10^7

so,

so, it is 30 times larger

Answer:

Step-by-step explanation:

The translation 5 to the right adds 5 to the x-value.

The translation 1 unit down subtracts 1 from the y-value.

  (x, y) ⇒ (x+5, y-1)

P(0, 0) ⇒ P'(0+5, 0-1) = P'(5, -1)

Q(2, 4) ⇒ Q'(2+5,4-1) = Q'(7, 3)

R( 5, 2) ⇒ R'(5+5, 2-1) = R'(10, 1)

Answer:

P'[5,-1], Q' [7,3], R'[10,1]

Step-by-step explanation:

Since the object translates 5 unit to the right and 1 unit down ;it means the value of X will move 5 units positively and the value of y will decrement by 1 of its original value to create the image.

The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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The percentage of students who do not walk to class and do not have a lunchbox is 28.25 %.

From the illustration:

Total number of students = 400

Number of students that do not walk and do not have a lunchbox = 113

Percentage component = number of component/total number x 100

Thus:

Percentage of students who do not walk to class and do not have a lunchbox:

  = 113/400 x 100%

  = 28.25 %

To the nearest hundredth = 28.25%

In other words, the percentage of students who do not walk to class and do not have a lunchbox is 28.25%.

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The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

40 bottles

Step-by-step explanation:

6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes

AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!

Answer:

The fraction would be -0.75/0.4 = -1.875

Above the blank is written Quotient, which is a quantity produced by the division of two numbers, so the quotient is -1.875

Step-by-step explanation:

I divided -0.75 by 0.4 which gave me the result -1.875

Above the blank is written Quotient, which is a quantity produced by the division of two numbers, so the quotient is -1.875

I hope I helped you, let me know later if the answer I gave you was right :)

Answer:  -1.875

Step-by-step explanation: -0.75/0.4

 for me change to fraction -75/100*4/10

=-15/8------>  -1.875