at a farmers market two vendors sell fresh milk. one vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. which is the better deal?

Answer: [tex]F=15N[/tex]

Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

[tex]F=ka[/tex]

Where [tex]F[/tex] is the force acting on the object, [tex]a[/tex] is the object's acceleration and [tex]k[/tex] is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting [tex]F=18[/tex] and [tex]a=6[/tex] into the equation and solving for [tex]k[/tex]:

[tex]18=k6\\k=\frac{18}{6}\\k=3[/tex]

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

[tex]F=3(5)\\F=15[/tex]

3. The result is:

[tex]F=15N[/tex]

The acceleration that an objects gains is given by the mass of the object.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

[tex]Mass, \, m = \dfrac{F}{a}[/tex]

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

[tex]Mass \ of \ the \ object, \, m = \dfrac{18 \, N}{6 \ m/s^2} = 3 \, kg[/tex]

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

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Answer:

-g * (2+5)

Step-by-step explanation:

The opposite of g times the quantity 2 plus 5

Opposite means put a negative sign

times means multiply

Quantity means parenthesis

plus means addition

-g * (2+5)

The problem 'The opposite of g times the quantity 2 plus 5' translates into the mathematical equation -g*(2+5) or -g*7 in which g is multiplied by 7, and the result is negated.

The word sentence 'The opposite of g times the quantity 2 plus 5' can be represented by the equation -g*(2+5) or -g*7, where * denotes multiplication, + denotes addition, and - denotes opposite or negation. Therefore, the interpretation of the sentence is 'multiply g by 7 and then take the opposite or negative of the result'. The use of parentheses ( ) in the equation ensures we first perform the addition within, according to the order of operations in math, most commonly known as BIDMAS/BODMAS or PEMDAS rules.

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Answer: You take the 2 middle columns in this case the purple gray looking one and the brown one and add them together divide them by 2

Step-by-step explanation:

Answer:

x = (4z -y)/(3 – y); y ≠ 3

Step-by-step explanation:

3x – xy = 4z - 5y     Factor

  x(3-y) = 4z - y        Divide each side by 3-y

        x = (4z -y)/(3 – y); y ≠ 3

x is undefined when y = 3, so we must include the condition that y ≠ 3.

The correct answer is option (D).

Inequality shows relation between two expression which are not equal to each others.

The graph shows an open circle at -6,

which implies that -6 is not a solution to the inequality.

The shaded arrow on all values shows that values are smaller than -6 and  x < -6 is the inequality that represented on the line graph.

The required inequality is x < -6.

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Divide 8.75 by 35 and multiply the result by 100 to get 25 hours.

Answer:

Option 4 which is 1,430.

Step-by-step explanation:

Step 1

In this this step we will break up the terms in the summation symbol using the rules for manipulation summations.

[tex]\sum_{i=1}^{n}(aX^2_i+k)=\sum_{i=1}^{n}(aX)+\sum_{i=1}^{n}k\\\\\sum_{i=1}^{n}(aX^2_i+k)=a\sum_{i=1}^{n}X^2+nk.[/tex]

This means that for our case, the sum can be simplified to be,

[tex]\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2+11\times(-8)\\\\\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2-88[/tex]

Step 2

In this step we use the formula for the sum of the first n squares to evaluate the first part of the sum in step 2. The formula for the sum of the first n squares is,

[tex]\sum_{i=1}^{n}n^2=\frac{n(n+1)(2n+1)}{6} \\\\\implies\sum_{i=1}^{11}i^2=\frac{11(11+1)(2\times 11+1)}{6} =506[/tex]

Step 3

In this step we use the result from step 1 to evaluate the sum.[tex]3\sum_{i=1}^{11}i^2-88=3(506)-88=1,430.[/tex]

The correct answer is Option 4,which is  1,430.

Answer:

[tex]\boxed{\boxed{\sum_{i=1}^{11}(3i^2-8)=1430}}[/tex]

Step-by-step explanation:

The given expression is,

[tex]\sum_{i=1}^{11}(3i^2-8)[/tex]

[tex]=\sum_{i=1}^{11}(3i^2)-\sum_{i=1}^{11}(8)[/tex]

[tex]=3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)[/tex]

we know that,

[tex]\sum_{i=1}^{n}i^2=\dfrac{n(n+1)(2n+1)}{6}[/tex] and

[tex]\sum_{i=1}^{n}c=cn,\text{ Where c is a constant}[/tex]

Hence,

[tex]3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)=3\left(\dfrac{11(11+1)(2(11)+1)}{6}\right)-8(11)[/tex]

[tex]=3\left(\dfrac{11(12)(23)}{6}\right)-8(11)[/tex]

[tex]=3\left(506}\right)-8(11)[/tex]

[tex]=1518-88[/tex]

[tex]=1430[/tex]

f(-4) This means that x is -4, so you can plug in -4 for "x" in the equation

f(x) = 5x + 5

f(-4) = 5(-4) + 5

f(-4) = -20 + 5

f(-4) = -15

Answer:

the answer is 16

Step-by-step explanation:

25-9=16 pens

Answer:25-9= 16 pens

Step-by-step explanation:

Answer:

B) $90!

I hope this helped :D

Answer:

90 is the answer

Step-by-step explanation:

90+50=140

140-50=90

Answer:

0

Step-by-step explanation:

full answer guide attached

Answer:

30 ÷ 3 = 10 ft each

hope it helps :)))

Step-by-step explanation:

29.8 you can estimate it to 30

so you would divide 30 ÷ 3 = 10

Answer:

The total cost is D) $141

Step-by-step explanation:

To solve we can use the equation: [tex]y=25d+0.10m[/tex]

d= number of days  m= number of miles

We know both of these values so we can plug them in and solve.

y= 25(3) + 0.10(660)

y= 75 + 66

y = 141

Answer:

2 hours

Step-by-step explanation:

To find out how much she has read, we multiply the number of nights by how much read per night

time read = 8 nights * 1/4 hours per night

time read = 8/4 hours

time read = 2 hours

Answer: 2 weeks?

Step-by-step explanation: 1/4 x 8= 2

Answer:

The value of cos 0 = - 2 sqrt(85) /  85 = - 0.216930458

Step-by-step explanation:

cos 0 = ?

Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9

cos 0 = x/r

r=sqrt(x^2+y^2)

Replacing the known values:

r=sqrt( (-2)^2+(9)^2)

r=sqrt(4+81)

r=sqrt(85)

cos 0 = x/r

cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458

Rationalizing:

cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]

cos 0 = - 2 sqrt(85) /  [sqrt(85)]^2

cos 0 = - 2 sqrt(85) /  85

Answer:

14.39

Step-by-step explanation:

a^2 + b^2 = c^2

33^2 + b^2 = 36^2

1089 + b^2 = 1296

1089 - 1089 + b^2 = 1296 - 1089

b^2 = 207

b = 14.39

Answer: The Perimeter is 90 meters

Step-by-step explanation:

Area = 126

Width = 3

Length = L

3 x L = 126

3 x L / 3 = 126/3

L = 42

Check:

3 x 42 = 126

126 = 126

Perimeter = L2 + W2

P = 42 x 2 + 3 x 2

P = 84 + 6

P = 90

Answer:

51.544 L  in our tank

Step-by-step explanation:

We have a 13.6 gallon tank

Our conversion factor is 3.79 L = 1 gallon.  We want liters on top since that is where we want to end up

3.79 L /1 gallon is what we want to use

13.6 * 3.79L/1 gallon = 51.544 L  in our tank

Answerenise's rock sample has  

38

,

890

centigrams more mass than that of Pauline

:

Step-by-step explanation:

Answer:

600 people

Step-by-step explanation:

We can use ratios to solve this problem.

Change the 30 minutes in to hours

30 minutes = .5 hours

75 people               x people

---------------- = -----------------------

.5 hours                    4 hours

Using cross products

75*4 = .5 *x

300 = .5x

Divide each side by .5

300/.5 = .5x/.5

600 =x

Answer:

18 = diameter

Step-by-step explanation:

Answer:

∠RQP

Step-by-step explanation:

Step-by-step explanation:

What number(s)?

Answer:

16 times the square root of 6

Step-by-step explanation:

2 radical54 simplifies:

2(radical6 x radical9), which is 6 radical6

and 5 radical24 simplifies:

5(radical6 x radical4), which is 10 radical6,

10 radical6 + 6 radical6=

16 radical6

Answer:

The jogging rate of Matthew is 5 mph.

Step-by-step explanation:

Let the jogging rate of Matthew be x mph.

It is given that his jogging rate was 25 mph slower than the rate when he was riding. So, the riding rate is (x+25) mph.

The distance between Matthew and his friend's house is 12 miles.

[tex]Speed=\frac{Distance}{Time}[/tex]

[tex]Time=\frac{Distance}{Speed}[/tex]

The time taken by Matthew in jogging is [tex]\frac{12}{x}[/tex] and the time taken by Matthew in riding is [tex]\frac{12}{x+25}[/tex].

It took him 2 hours longer to jog there than ride back.

[tex]\frac{12}{x}=\frac{12}{x+25}+2[/tex]

[tex]\frac{12}{x}-\frac{12}{x+25}=2[/tex]

[tex]\frac{12(x+25)-12x}{x(x+25)}=2[/tex]

[tex]12x+300-12x=2x(x+25)[/tex]

[tex]300=2x^2+50x[/tex]

[tex]0=2x^2+50x-300[/tex]

[tex]0=x^2+25x-150[/tex]

[tex]0=x^2+30x-5x-150[/tex]

[tex]0=(x+30)(x-5)[/tex]

Equate each factor equal to 0.

[tex]x=5,-30[/tex]

The speed cannot be negative, therefore the jogging rate of Matthew is 5 mph.

Answer:

the answer is D

Step-by-step explanation:

I think it's "Adrienne did not enter her ATM withdrawal correctly"

Answer:

" Adrienne did not enter her ATM withdrawal correctly."

D.

Step-by-step explanation: <3

The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given

Angle bisector of the triangle.

To find

The angle bisector of a triangle divides the triangle into two similar triangles always, sometimes, or never.

The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.

More about the triangle link is given below.

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The angle bisector divides a triangle into two similar triangles Option B) sometimes, specifically when the triangle is isosceles.

1. Isosceles Triangle: In an isosceles triangle, two sides are equal in length. When the angle bisector of the vertex angle is drawn, it also bisects the base, creating two congruent triangles (by the Angle Bisector Theorem). Congruent triangles are always similar, so in this case, the statement holds true.

2. Scalene Triangle: In a scalene triangle, none of the sides are equal. When you draw the angle bisector of one of the angles, it won't necessarily bisect any other side into two equal lengths. Hence, the resulting triangles formed by the angle bisector won't necessarily be similar.

So, the angle bisector divides the triangle into two similar triangles sometimes (when it's an isosceles triangle) but not always (when it's a scalene triangle).