Lesson Check (5.NBT.B.7)
1. What multiplication sentence does the model
represent?

Answer:the answer is d

Step-by-step explanation:

Answer:

8a + 2b is 14 and b - 2a is 4 1/2

Step-by-step explanation:

divide 8 by 2 to get 4 and multiply 2 times 5 to get 10, then add 10 + 4

If b=5 and a is 1/2 then 5 - 1/2 = 4 1/2

Answer:

Greenwood is a great place

Answer:

Geometric

Step-by-step explanation:

Answer: 1.82 m

Step-by-step explanation:

Ratios

0.14     n              0.14 x 13 = 1.82

 1.         13                    1.82/1 = 1.82

To address the issue, we must understand what the converse of a statement implies. The statement's opposite is true if a=bc and a/b=c.

By switching the condition and the result, a conditional statement can be made into its opposite. The converse of a statement is q—->p if the statement is p—->q. In the provided question, the condition is stated as a/b=c, and the answer is a=bc if the condition holds.

We must create the result, the condition, and the condition will be the new result in order to discover the opposite of this assertion. As a result, a=bc will be the condition for converse, and a/b=c will be the outcome if the condition is satisfied.

As a result, if a=bc then a/b=c., the supplied sentence has the opposite meaning.

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Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

he cosine function can be used to model periodic motion, and its general form is:

y = A cos (Bx + C) + D

where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.

Therefore, the frequency is:

\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)

We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.

Now we can write the function that models the height of the particle in inches y as it moves in seconds x:

y = 7 cos (2π * 0.1 * x)

Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.

Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

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The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

- 6 > - 8

 8 > 5

- 1 < 0

Step-by-step explanation:

Answer:

40 mph or 40 miles per hour

Step-by-step explanation:

If there is 240 miles in 6 hours, so you can divide the 240 by 6 to get the unit rate of miles per hour.

240 divided by 6 is 40

Answer: 240 miles in 6 hours as a unit rate would be 240 over 6. This is because with unit rates to find how many miles in one hour you would divide 240 by 6. (This would give you 40.)

Answer:

Step-by-step explanation:

A. There is exactly one output for each input.

B. The graph of a linear function is a straight line.

C. A linear function can cross the y-axis in two places.

D.  A linear function has a constant rate of change.

E.  A linear function must cross the x-axis.​

Lets check

#1

False

for y=3 there are millions of same outputs as 3

#2

True

General equation y=mx+b

#3

No it's for higher degree functions

false

#4

True

#5

False

The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

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

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

Answer:

Pretty sure it is (4,6)

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

No, multiplying the function f(x) by 4 and adding 3 to f(x) do not transform the graph the same way.

Although both transformations result in a y-intercept of 1, they have different effects on the shape and direction of the graph.

Multiplying f(x) by 4 stretches the graph vertically, making it four times as tall. This also makes the function grow much more quickly for positive values of x and decay much more quickly for negative values of x.

Adding 3 to f(x) shifts the graph vertically upward by 3 units. This transformation does not change the shape of the graph, but simply moves it up or down on the y-axis.

Therefore, the two transformations have different effects on the graph and cannot be considered the same.

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The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

What is a Ratio?

A quantitative relation between two amounts showing the number of times one value contains in another

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

m=32000/5

m=6400

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Answer:

Being financially literate helps a person to distinguish between financial decisions that will be beneficial, and that will be detrimental to their financial future. Having a plan for your finances will help you meet your short and long-term needs, without going beyond your income

Step-by-step explanation:

Ppbags where here

Answer:

I think it's 60 hopefully I'm corrrrrect

Step-by-step explanation:

it'sssssss 60

Answer:

The equivalent forms of y = 6 (x - 2) (x - 3) are y=(6x-12)(x-3) and 6x^2-30x+36.

Step-by-step explanation:

hope it helped, please mark me brainliest

Answer:

y = 6x² - 30x + 36

Step-by-step explanation:

y = 6 (x - 2) (x - 3)

so we start off by x times x

x times x = x^2

next we go for 2 × 3

2 × 3 = 6

then -2 - 3

-2 - 3 = -5

Finally multiply it all by 6

6x^2 - 30x + 36

Changing the multiplication sign to a division sign, we will have 28 ÷ 7

Multiplication and division rule :-

Given the product of 28 and 1/7, we are to write a division equation involving division by a fraction.

Given,

28 * 1/7 = 4

Changing the multiplication sign to a division sign, we will have:

28 * 1/7 = 28/7

This can also be written as 28 ÷ 7

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Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

The expression "x > 100" is used to determine the range of values that x can take and the range is all positive integers greater than 100.

An expression is a combination of numbers, variables, and operators that can be evaluated to a numerical value. In this case, the expression "x > 100" is used to determine the range of values that the variable x can take.

The expression checks whether x is greater than 100. If x is indeed greater than 100, then the expression evaluates to True and the next decision in the sequence is reached. If x is not greater than 100, then the expression evaluates to False and the next decision is not reached.

Therefore, the range of values that x can take is all the integers greater than 100. For example, x can be 101, 102, 103, and so on. The range of values for x is not limited, meaning it can be any positive integer greater than 100.

In mathematical terms, the expression "x > 100" can be written as:

x ∈ Z, where Z is the set of all integers and x > 100

In other words, x can be any integer that belongs to the set of all integers, as long as it is greater than 100.

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Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Answer:

\( -m + 6 = 3m + 14 \)

Step-by-step explanation:

Given:

\( -(m - 6) = 3m + 14 \)

Required:

Multiply (m - 6) by -1.

Solution:

To multiply (m - 6) by -1, we would be applying the distributive property. This means that we would multiply each term in the parentheses by -1.

Thus:

\( -1(m) -1(-6) = 3m + 14 \)

The result would be:

\( -m + 6 = 3m + 14 \) (negative times negative = positive)

Answer:

(3x -1) (3x+1)

Step-by-step explanation:

9x^2 - 1

Rewriting

(3x)^2 -1^2

This is the difference of squares a^2 -b^2 = (a+b) (a-b)

(3x -1) (3x+1)

The value of Factors of the expression are,

⇒ (3x - 1) (3x + 1)

We have to given that,

An expression for factor is,

⇒ 9x² - 1

We can use the formula for factor,

⇒ a² - b² = (a - b) (a + b)

So, We can factor it as,

⇒ 9x² - 1

⇒ (3x)² - 1²

⇒ (3x - 1) (3x + 1)

(By using above formula.)

Therefore, Factors of the expression are,

⇒ (3x - 1) (3x + 1)

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The triangle is obtuse because 11^2 + 21^2 does not equal 29^2.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

We can use this theorem to determine the type of triangle by calculating the square of the longest side (29^2), and then comparing it to the sum of the squares of the other two sides (11^2 + 21^2). Since 11^2 + 21^2 does not equal 29^2, the triangle is obtuse.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

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