. A team of movers are unloading a truck. One of the movers stays in the truck and places
the boxes on a ramp, so they slide down to the other members of the team. One box
has a mass of 34.9 kg. The mover places the box on the ramp, which is 24.7° below
horizontal. If the coefficient of friction between the box and the ramp is 0.211, how
quickly will the box accelerate down the ramp?

Answer:D

Step-by-step explanation:C(r) is how much money it will cost and r is how many rides there are 18 different rides and he won't go on one more than once so the r shoul be less or equalled to 18

if you multiply 1.75 by 18 then it will be 31.5 which means C(r) should be less or equalled to 31.5

he doesn't have to go on a ride so 0 has to be less or equalled to C(r) and r

this means D is correct

Answer:

34.48%

Step-by-step explanation:

12 + 18 + 7 = 37

37 - 29 = 8

8 students Like both English and Math

Only like math: 18 - 8 = 10

10 / 29 = 34.48%

Answer: 34.48%

Step-by-step explanation: 12 + 18 + 7 = 3737 - 29 = 88 students Like both English and Math. l18 - 8 = 1010 / 29 = 34.48% like math

Answer:

7/8X-8=216      

x=256

7/8x-8=216

     +8  +8

7/8x=224

7/8    7/8

x=256

Step-by-step explanation:

The value of the antilog of the number, 2.4771, specified to base 10 is about 299.99.

The logarithm of a number x at a base b, is the power or exponent to which b is raised to obtain the value of x

Mathematically; [tex]log_bx = y[/tex]

Therefore; [tex]b^y = x[/tex]

Where;

x = The argument; The possible values are; x > 0

y = The exponent; The possible values are; -∞ < y < ∞

b = The base of the logarithm; The possible values are; b ≠ 1 and b > 0

The antilog of a number can be obtained as follows;

The value x is the antilogarithm of the value y to base b. Therefore, the antilog of y is x where y is the logarithm of x

The values of the base of the logarithm

The antilog of a value is found by using the inverse of the process used to find the log of a value

The formula for the antilogarithm is presented as follows;

log₁₀x = y

The antilog of y is; x= [tex]10^y[/tex]

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Answer: y=(2/5)x +5

Step-by-step explanation:

Answer:

a 1.8

b 11.8

c 23.6

Step-by-step explanation:

divide the sum of all values withing each data set by the number of values

Answer:

A balanced

Step-by-step explanation:

A reaction in which the number of each type of atom on one side of the equation is equal to the number of the same kind of atoms on the other side of the equation is called a balanced chemical equation.

It is a chemical equation that has the same number of atoms of each element on both sides of the equation. This is important because the law of conservation of mass states that matter can't be created or destroyed, so the number of atoms on one side of the equation must be equal to the number of atoms on the other side of the equation.

It is also important for calculating the stoichiometry of a reaction, determining the amount of reactants and products needed for a reaction, and to make sure that the chemical equation is in accordance with the laws of thermodynamics.

There are 32 servings that can be made from one gallon.

The given data as follows:

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 fluid ounces

if 1 quart is 2 pints, then 4 quarts will be

= 4 × 2 = 8 pints

if 1 pint is 2 cups, then 8 pints will be

= 8 × 2 = 16 cups

Here 1 gallon is 16 cups

A recipe uses 3 cups of milk to make 6 servings.

The rate of servings to cups is 6 servings to 3 cups which is a unit rate of 2 servings per cup.

If 1 cup is 2 servings, then 16 cups will be

= 16 × 2 = 32 servings

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Answer: 24

Rounded to the nearest 1 or

the Ones Place.

Step-by-step explanation: 24.2116

You rounded to the nearest ones place. The 4 in the ones place rounds down to 4, or stays the same, because the digit to the right in the tenths place is 2.

24

When the digit to the right is less than 5 we round toward 0.

24.2116 was rounded down toward zero to 24

The number 24.21 rounded to the nearest whole number is 24 and the number 16.03 rounded to the nearest whole number is 16

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the first number be represented as A

Now , the value of A is A = 24.21

Let the second number be represented as B

The value of B = 16.03

Now , on rounding the number A ,  we get

You rounded to the nearest ones place. The 4 in the ones place rounds down to 4, or stays the same, because the digit to the right in the tenths place is 2

And , when the digit to the right is less than 5 we round toward 0

So , the rounded number is 24

Now , on rounding the number B , we get

You rounded to the nearest ones place. The 6 in the ones place rounds down to 6, or stays the same, because the digit to the right in the tenths place is 0

And , when the digit to the right is less than 5 we round toward 0

So , the rounded number is 16

Hence , the rounded numbers are 24 and 16 respectively

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Answer:

$1825 is paid each quarter

Step-by-step explanation:

$6500 for PPO

+ 546 for Dental

+ 244 for vision

= 7300 ÷ 4 (there are 4 quarters in each year)

= $1825 each quarter

The simplified inequality is v>-4

An inequality is an inequation separated by <,>≥,≤. In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use the “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given here, the inequality as v + 12>8 simplifying we get

 v+12>8

 v+12-12>8-12

        v>-4

Hence, The simplified inequality is v>-4

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The whole number for the given rational number is 409.

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.

Given that, 3000/7.333333.

Here, take x=7.3333...... ------(I)

Multiply equation (I) by 10, we get

10x=73.3333...... ------(II)

Subtract equation (I) from equation (II), we get

9x=66

x=66/9

x=22/3

Now, 3000÷22/3

3000×3/22

= 9000/22

= 409

Therefore, the whole number for the given rational number is 409.

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$48 is the amount Earl receive from his grandmother when he turns 16

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that table shows how much money Earl's grandmother gave him each birthday.

As it is a proportional relation then

y=kx

Now let us take any point from the table

30=k(10)

k=3

So now we have to find value of y when x is 16

y=3×16

y=48

Hence, $48 is the amount Earl receive from his grandmother when he turns 16

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Answer:

15 + 4

Step-by-step explanation:

The number of bears that the researcher should be expected to see in the larger central Pennsylvania forest with about 1,000 total animals is given as follows:

95 bears.

To obtain the number of bears in the larger forest, first we must obtain the proportion in the smaller forest.

The proportion is given by the number of bears divided by the total number of animals, both of these amounts given by the bar graph presented at the end of the answer.

The number of bears is given as follows:

20.

The total number of animals is given as follows:

20 + 70 + 30 + 90 = 210.

Meaning that the proportion of bears is of:

20/210.

Hence, out of 1000 animals, the expected number of bears is of>

20/210 x 1000 = 20000/210 = 95 bears.

The bar graph is given by the image presented at the end of the answer.

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Answer:

[tex]y+5=-\frac{3}{4}(x-8)[/tex]

Step-by-step explanation:

[tex]4x-3y=15 \\ \\ 3y-4x=-15 \\ \\ 3y=4x-15 \\ \\ y=\frac{4}{3}x-5[/tex]

The slope of the given line is [tex]4/3[/tex]. So, the slope of the line that we need to find is [tex]-3/4[/tex].

Using point-slope form, the equation is [tex]y+5=-\frac{3}{4}(x-8)[/tex].

The value of the function at 4, f(4) = 74 and the then value of x when f(x) = 40 is 6.

Functions are defined as the relation between two sets such that elements of a set is mapped to the elements of the other set and no element in the first set has more than one image in the other set.

Given values of x and the function values on those x in the table.

x values are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

f values on these x are 60, 64, 42, -5, 74, -4, 40, -29, 3, 47

Clearly we can see that x = 4 maps to 74.

So f(4) = 74.

Similarly we have an f value of 40 at x = 6.

Hence f(4) = 74 and the x = 6 when f(x) = 40.

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The values of x and y are 5.07 , 6.75 respectively .

What is linear Equation ?

linear equation can be defined as the equation in which the highest degree is one .

Given System of equations ,

4x + 4y = 49 let this be equation 1

7x + 2y = 52 let this be equation 2

multiply equation 1 with 7

and equation 2 with 4

so , we get ,

28x + 28y = 343

28x + 8y = 208

So, By subtracting both equations , we get

28y - 8 y = 343 - 208

20 y = 135

y = 135/20

y = 27/4

y = 6.75

Substitute y = 6.75 in the equation 2

we get,

7x + 2 * 6.75 = 52

7x = 50 - 14.50

7x = 35.50

x = 35.50 / 7

x = 5.07

Hence, The value of x and y are 5.07 , 6.75 respectively .

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Answer:

(2, -3)

Step-by-step explanation:

Write the equation of the line.

y = mx + b  We need the slope and the y intercept.  We have been give the slope (m) as 5/2.  We will use that and the point (4,2) to figure out the y-intercept (b)

m = 5/2

y = 2   from the point given (4,2)

x = 4    from the point given (4,2)  Another name for 4 is [tex]\frac{4}{1}[/tex]

y = mx + b  substitute in what we know and solve for b

2 = [tex]\frac{5}{2}[/tex][tex](\frac{4}{1})[/tex] + b

2 = [tex]\frac{20}{2}[/tex] + b

2 = 10 + b   Subtract 10 from both sides

2 - 10 = 10 - 10 + b

-8 = b

Now that we have the slope (m)  (5.2) and the y-intercept (b) -8.  We can write the equation of the line.

y =  mx + b

y = [tex]\frac{5}{2}[/tex] x - 8

We want to find out what is y when x = 2.

y = [tex]\frac{5}{2}[/tex]x = 8

y = [tex]\frac{5}{2}[/tex](2) - 8

y = 5 - 8

y = -3

Answer:

like 10 or 15 grams because theare is glass of juice

200 ml of juice will contain 20.4 g of  sugar.

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: 250 ml of juice contains 29.5g carbohydrate, 25.5g sugar , 0.3 g protein.

Now 250 ml of juice contains 25.5 g of sugar

therefore 1 ml of the juice will contain 25.5/250=0.102 g

Thus 200 ml of juice will contain 0.102×200=20.4 g

Hence, 200 ml of juice will contain 20.4 g of  sugar.

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M) At least one factor must equal zero.

Factors of production are, land, labor, capital, and entrepreneurship

Factors of production is an economic term that describes the inputs that are used in the production of goods or services in order to make an economic profit.

In order for a product of factors to be equal to zero, at least one of the factors must be equal to zero. This is because any number multiplied by zero is equal to zero. So, if (b - 3)(3b + 8)(2b + 5) = 0, then at least one of the factors (b - 3), (3b + 8), or (2b + 5) must equal zero. It is not necessary for all three factors to be equal to zero, as long as one of them is.

Hence, M) At least one factor must equal zero.

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Answer:

  6.0 cm²

Step-by-step explanation:

You want the area of ∆DEF with sides e=1.4 cm, f=9.1 cm, and angle D=109°.

The area of the triangle is given by the formula ...

  A = 1/2ef·sin(D)

  A = 1/2(1.4 cm)(9.1 cm)sin(109°) ≈ 6.37·0.94552 cm² ≈ 6.023 cm²

The area of triangle DEF is about 6.0 square centimeters.

From the given figure c+d  = 70 and the value of a+b could be 70 .

What is triangle ?

triangle is defined as a plane figure in which it has three sides and three angles.

In the given triangle, in which it contains angle c and d

let another angle could be z .

so c + d + z = 180

as the sum of all three angles in a triangle is 180 degrees.

c+d = 70

so,

z = 180 - (c+d )

z = 180 - 70

z =110

in another traingle which is opposite to angle z.

let angles in that triangle be x , y , f .

x+y+f = 180

180- a + 180 - b + f = 180

180 = a+b+f

angle f = angle z as vertically opposite angles are always equal.

hence

a+b+f = 180

a+b = 180-f

a+b = 180-z

a+b = 180-110

a+b = 70

Hence the value of a+b is 70

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Answer:

(4, 0)

Step-by-step explanation:

A function is a special relation where each input (x-value) has a single output (y-value).

From inspection of the given graph, we can see that the input x = 4 has two outputs: y = 0 and y = -5.

Therefore, for the graph to represent a function, we need to remove one of the points with an input of x = 4:

An equation is a mathematical expression that shows the relationship between two variables

Since Claire traveled 382 miles. She drove 82 miles every day. On the last day of her trip she only drove 52 miles.

Let d represent the number of days Claire travelled.

Since Claire travelled 82 miles per day, the number of miles she travels in d days is D = 82 × d = 82d

Also, since she travels 52 miles on the last day, the total distance she travels is D' = 82d + 52

Now, since the total distance Claire travels is 382 miles, we have that

D' = 382 miles

So,

82d + 52 = 382

So, the required equation is 82d + 52 = 382

Solving the equation for d, we have

82d + 52 = 382

82d = 382 - 52

82d = 330

d = 330/82

d = 4.02 days

d ≅ 4 days

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Answer:

Answer in image

Step-by-step explanation:

Finding the distance between point A and B, then Point C and B will tell you if the two sides are congruent. Then knowing that two sides are congruent, we can determine whether or not the triangle is isosceles, because isosceles triangles have two congruent sides. Then know there are two congruent sides, we know that the base angles must be the same, which leads to the conclusion of this being an isosceles triangle.

-Hope this helped & Happy New Year!

The given ordered pair satisfy the first as well as second equation thus option (A),(B) and (D) are correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given system of equations,

2x + y = − 8

x − y = −4

Put (-4,0) in the above equations,

2(-4) + 0 = -8

-8 = -8 (Satisfied)

-4 - 0 = -4

-4 = -4 (Satisfied)

Since both are true thus both will be true.

Hence "Both the first and second equations are satisfied by the ordered pair that is presented.".

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The correct system of equations are followed as,

2x + y = − 8

x − y = −4

Answer:

10 commercials per hour

Step-by-step explanation:

Hope it helps!

The number of Cones needed in the first, second, and third cases will be 7, 4, and 3, respectively.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

Let πr³ = x. Then the volume of a cylinder is given as,

V₁ = πr³

V₁ = x

The volume of a sphere is given as,

V₂ = (4/3)πr³

V₂ = 4x/3

The volume of a cone is given as,

V₃ = (1/3)πr³

V₃ = x/3

The number of Cones needed, along with 1 Sphere to equal the volume of one Cylinder will be given as,

⇒ (4x/3 + x) / (x/3)

⇒ (7/3) × (3)

⇒ 7

The number of Cones needed to equal the volume of one Sphere will be given as,

⇒ (4x/3) / (x/3)

⇒ (4/3) × 3

⇒ 4

The number of Cones needed to equal the volume of one Cylinder will be given as,

⇒ (x) / (x/3)

⇒ 1 × 3

⇒ 3

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If it takes nine peaches to produce one cobbler and the Mary muffin company has 128 peaches, they want to make as many cobblers as they can. One peach won't be used in the 14-number cobbler that was created.

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