A car travels at a rate of 50 miles per hour for 3 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. This situation can be modeled by a function.



What is the domain of the function?

A.
0 ≤ x ≤ 3

B.
0 ≤ x ≤ 50

C.
0 ≤ y ≤ 3

D.
0 ≤ y ≤ 50

The purpose of the list of grievances is to declare that the United States of America is a free and independent state.

The colonists' complaints against King George's treatment of them were listed in the list of grievances. It was essentially a list of justifications for their declaration of independence.

A list of complaints that Thomas Jefferson thought George III, the king of Great Britain, had made against the colonists is included in the Declaration of Independence. The primary justifications for the Colonists' involvement in the American Revolution were described in these grievances. Taxation without representation, or as Thomas Jefferson more elegantly puts it, "for imposing Taxes on us without our Consent," is arguably the most significant of them.

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Answer:

The first answer is correct.  See the picture below

Step-by-step explanation:

The angle of m1, angle of m2 and angle of m3 is 101°, 79° and 101° respectively.

It is given that the angle of m4 is 79°.

To find angles m1, m2 and m3 :

As we know that angle m4 is equal to angle m2 (because they are vertically off opposite angle).

So, angle m2 = 79º

In the same manner the angle of m1will be equal to angle m3.

Now, we can see that in the figure the angles m2 and m1 is lying on one plane, and a plane line makes a angle of 180º

So,

m2+m1 = 180º

79º+m1 = 180º

m1 = 180º-79º

Angle m1 = 101º

And, as we can see that the angles m1 and m3 are vertically of opposite angle.

So, m1= m3= 101º

Hence, angle m1=101º,

            angle m2= 79º,

 And,    angle m3=101º.

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If the main courses at a restaurant all contain rice or onion and of the 23 choices, 17 contain onion and 14 contain rice, then the number of dishes containing both rice and onion will be equal to 8.

The number of dishes that contain both rice and onion at the restaurant can be calculated by using an algebraic expression.

An algebraic expression can be defined as an equation in which both numerals and letters are present.

An algebraic expression for this problem can be given as,

(14 - x) + x + (17 - x) = 23

Here x is equal to the number of dishes containing both rice and onion.

14 + 17 - x + x - x = 23

31 - x = 23

x = 31 - 23

x = 8

Hence, the number of dishes that contain both rice and onion is calculated to be 8.

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Answer:

Step-by-step explanation:

Mei will have written a total of 430 pages at the end of the 30 days.

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Answer:

3500

Step-by-step explanation:

1600-12500=3500

3500/12500*100% = 28%

so the percentage profit is 28%

2) BA and CD are parallel (segments that are collinear with parallel segments are parallel)

3) CDAB is a parallelogram (a quadrilateral with two pairs of parallel sides is a parallelogram)

4) ∠B is congruent to ∠D (opposite angles of a parallelogram are congruent)

5) m∠B = m∠D (congruent angles)

6) m∠D=115° (transitive property)

7) m∠EDA=65° (linear pair)

8) m∠EAD=65° (base angle of an isosceles triangle)

9) m∠E = 50° (sum of angles in a triangle)

From the graph of the function, we have that:

Hence:

Looking at the graph, we get that a function f(x) is decreasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y decreases.

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.

Hence:

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The required value of x in the expression 2√51x is 25.

Given that,
An expression 2√51x,
To determine the value of x when the expression is equivalent to  10√51.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
2√51x = 10√51
√51x = 5√51
√x = 5√51 / √51
√x = 5
squaring both sides
x = 25

Thus, the required value of x in the expression 2√51x is 25.

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Answer:

28 = 2² × 7

Step-by-step explanation:

28 = 4 × 7 = 2² × 7

The amount of milliliters (ml) you should give the child is 1.5 ml

The given parameters are:

infant's Tylenol, 5 ml = 160 mg

This can be represented as

5 ml = 160 mg

Let the number of ml to give a child that requires 48 mg be x

So, we have:

5 ml = 160 mg

x = 48 mg

Cross multiply

x * 160 = 48 * 5 ml

Divide both sides by 160

x = 1.5 ml

Hence, the amount of milliliters (ml) you should give the child is 1.5 ml

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Answer:

|x|

Step-by-step explanation:

Review your parent functions and how to identify them. They are the fundamentals of algebra and pre calc

Answer:0

Step-by-step explanation:The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept

y=mx+b Using the slope-intercept form, the slope is 0

Answer:

2(x+2)(x+4)

Step-by-step explanation:

Calculate the lengths of the 3 sides of the triangle:

AB =

[tex] \sqrt{(7 - ( - 1)) ^{2} + (( - 2) - ( - 8))^{2} } = 10[/tex]

BC =

[tex] \sqrt{(( - 1) - 5) ^{2} + (( - 8) - 0)^{2} } = 10[/tex]

AC =

[tex] \sqrt{(7 - 5) ^{2} + (( - 2) - 0)^{2} } = 2 \sqrt{2} [/tex]

Because AB = BC

=> ️ABC is an isoscelea triangle at B

The length of the circle's radius = 744.92 cm

Given the length of arc of a circle, arc length = 269⁢π cm

Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.

The corresponding central angle = 65°

To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians

We have, arc length of a circle = radius x central angle

Therefore, radius of the circle = arc length / central angle

                                                  =  269⁢π /(13π/36)

                                                  = 744.92 cm

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Answer:

6,720

Step-by-step explanation:

Answer:

31 square miles

Step-by-step explanation:

We basically have three shapes here.  

The top rectangle:

A= l x w = 7 x 2 = 14

The middle rectangle:

A= l x w = 4 x 2 = 8

The triangle

A = 1/2 x b x h = (3 x 6)/2 = 18/2 = 9

Add the area of all three: 14 + 8 +9 = 31

Answer: XYW = 32, WYZ = 85

Step-by-step explanation:

We are looking for what x is, which we can find with the formula:

117 = (6x+44) + (-10x+65)

117 = -4x + 109

8 = -4x

x = -2

We can verify this is correct by plugging it in and seeing if they add up to 117.

6x + 44 (XYW)

= 6(-2) + 44

= -12 + 44

= 32

-10x + 65 (WYZ)

= -10(-2) + 65

= 20 + 65

= 85

32 + 85 = 117

Answer:

c = 576

Step-by-step explanation:

3 c = 1728

divide both sides by 3

c = 576

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{6}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{1}{3}[/tex] ← in simplest form

a fraction is in simplest form when no other value but 1 can divide into the numerator/ denominator.

The slope of the line in simplest form is: 1.

The slope (m) of a line is calculated as:

Slope (m) = rise/run = change in y / change in x.

The horizontal distance across the line is the run, while the vertical distance is the rise.

The blue line shows the rise of the line = 2 units

The red line shows the run of the line = 2 units

Slope (m) = rise/run = 2 units/2 units

Slope (m) = 1

Therefore, the slope of the line in simplest form is: 1.

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Answer:

the second pair

Step-by-step explanation:

the first pair can't be equivalent because to check whether two fractions are equivalent we have to use the criss-cross method so.....

1.3*4=12 and 12*3=36....so not equal

2.6*15=90 and 9*10=90.....it matches:)) so this is the answer

Answer:

7 1/3

Step-by-step explanation:

1 2/3 - (-5 2/3)

1 2/3 + 5 2/3

7 1/3

Using the cross-multiplication formula we conclude that 768 cents will be given for 96 can recycled.

Cross multiplying is the process of multiplying the denominator of the second fraction on the other side of the equals to sign by the numerator of the first fraction on the same side.

In a similar manner, the numerator of the second fraction is multiplied by the denominator of the first fraction. Cross-multiplication is another name for the butterfly method. We employ the cross-multiply approach to identify one or more variables in a fraction. Cross multiplying is another method for comparing fractions.

We will do simple cross-multiplication here

given that for 12 cans we get 96 cents, that is

⇒ 12/96

and for 96 cans we get x cents, that is

⇒ x/96

Now, we do cross-multiplication here

⇒ 12/96 = 96/x

⇒ 12x = 96 × 96

⇒ x = (96 × 96)/12

⇒ x = 768 cents

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Correct question

A recycling center claims to give 96 cents for every 12 aluminum cans turned in. How much cents will they give if u recycled 96 cans?

The correct symbol will be (equal to) 6.5 = 6.5

Use the greater than and less than symbols to compare values and expressions. > is the symbol for more than. 6.5 is commonly thought to mean 6.5 "6.5 is the same as 6.5. " "= "is the sign of equality. Two more comparison expressions are "greater than" and "equal to" (less than or equal to).

Two values are equal when the "equals" sign is used to indicate this. (=)

When two values are obviously not equal, the "not equal to" signal is used. (≠)

To show that one value is smaller than another, we use the "less than" sign. (<)

To show that one value is greater than another, we use the "greater than" symbol. (>)

The answer to the left-hand question is 6.5, whereas the answer to the right is 6.5 * 1 is equal to 6.5.

Therefore, 6.5 = 6.5

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The required ordered pair, when graphed, would be on the same line as (1,3)  and   (4,9) is  (-2,-3).

Option (B) is correct.

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.

Given:

The given points is

(1,3)  and   (4,9)

According to given question we have

The  points is

(1,3)  and   (4,9)

Plot the ordered pairs  Draw a line through the points to indicate all of the points on the line.

The points lie on the given point is (-2,-3).

Therefore, the required ordered pair, when graphed, would be on the same line as (1,3)  and   (4,9) is  (-2,-3).

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