A scientist used 3 gallons of liquid forevery 6 hours he works. He usesof agallon each hour he works.

Answer:

c - (4, ∞)

Step-by-step explanation:

answer on edg

Answer:

Answer is choice C .   (4, ∞)

Step-by-step explanation:

on edge

Answer:

a. 200, b. 100 c. 100. c. 100

Step-by-step explanation:

to predict the total number of fish, you must add up all of the predicted so far. in this case, it gives you 10

then you need to divide 500 by 10

this gives you 50

now you know that each fish represents 50 fish in total.

so to find the totals, just multiply each value by 50!

The equations whose graphs encompass a region are thus provided. when the region's area is 301.5

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. The simplest technique is to multiply the room's length and width. The floor surface area for a rectangular room is equal to the length times the width. The formula for this is area = length x width (A = lw).

Given

g(x) = x²

x = 0

x = 3

We must determine the area using the functions f(x) and g(x), which are provided.

ₐ∫ᵇ (f(x) + g(x)) dx

₀∫³ (x² + 15(x + 5)) dx

₀∫³ (x²dx  + ₀∫³15(x + 5)) dx

(x³/3) + 15x²/2 + 75x

₀[x³/3]³ + ₀[15x²/2 + 75x]³

[(3 - 0)³/3] + [15(3 - 0)²/2 + 75(3 - 0)]

27/3 + 15(9/2) + 75(3)

9 + 15(4.5) + 7

76.5 + 225

301.5

The equations whose graphs encompass a region are thus provided. when the region's area is 301.5

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Step-by-step explanation:

\( \tan( \frac{x}{2} ) = \frac{ \sin(x) }{1 + \cos(x) } \)

\( \tan( \frac{x}{2} ) = \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } \)

So we have

\( \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } = \frac{ \sin(x) }{ \sqrt{1 + \cos(x) } } \)

Next, we then rationalize the numerator so we get

\( \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } \frac{ \sqrt{1 + \cos(x) } }{1 + \cos(x) } = \frac{ \sin(x) }{ {1 + \cos(x) } } \)

The denominator should be square root so to let you know .

So know we ahev

\( \frac{ \sqrt{1 - \cos {}^{2} (x) } }{1 + \cos(x) } = \frac{ \sin(x) }{1 + \cos(x) } \)

\( \frac{ \sqrt{ \sin {}^{2} (x) } }{1 + \cos(x) } = \frac{ \sin(x) }{ {1 + \cos(x) } } \)

\( \frac{ \sin(x) }{1 + \cos(x) } = \frac{ \sin(x) ) }{1 + \cos(x) } \)

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

c-21cm

Step-by-step explanation:

21 is the biggest one(unless the options are the diameters..it wouldstill be option c though)

Answer: There isn't enough information to say whether the triangles are congruent or not.

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

Explanation:

Angles DCE and BCA are congruent because they are vertical angles.

I've marked these angles in blue.

In red, I've marked angles DEC and ABC. These are another congruent pair of angles because of the parallel lines DE and AB. Specifically, these are congruent alternate interior angles. The other pair of congruent alternate interior angles are the angles marked in green.

This shows that the triangles are similar. The question we want to answer is: are the triangles congruent?

The answer is unfortunately "cannot be determined". Why is this? Because of the placement of those "6"s. We would need to move one of the "6"s such that they must lay on the same line.

For instance, we would need to move the 6 on BC to AC. If we knew AC = 6, then we could conclude that the triangles are congruent by the ASA congruence theorem. However, we don't know any info about AC so we simply don't have enough information. The triangles may be congruent or they may not be.

If your teacher only gives you two options of "congruent" vs "not congruent", then I'd go for "not congruent". But to me, the best option is "not enough information".

Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.

The volume of the cubic container is given by the following equation:

\(V(h) = 2h^3 - 9h^2 + 4h\)

Since it holds 45 cubic inches of merchandise, we have that \(V(h) = 45\), then:

\(V(h) = 2h^3 - 9h^2 + 4h\)

\(45 = 2h^3 - 9h^2 + 4h\)

\(2h^3 - 9h^2 + 4h - 45 = 0\)

Using a cubic equation calculator, the real solution is \(h = 5\), thus, the dimensions are:

\(h = 5\)

\(h - 4 = 5 - 4 = 1\)

\(2h - 1 = 2(5) - 1 = 10 - 1 = 9\)

The dimensions of the container are of 1 inch, 9 inches and 5 inches.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

There are 39 different choices

Step-by-step explanation:

Add the the flavors of ice cream the cones and the scoops.

31+2=33

1+2+3=6

33+6=39

Hope this helps

The deli needs to sell the tuna salad at a price of R2.33 per kg to achieve a profit of 40% of the selling price after 5kg spoilage.

A desired profit also known as target profit means expected amount of profit that the managers of a business expect to achieve by the end of a designated accounting period.

First, let's calculate the cost of the tuna salad the deli purchased:

= 45kg x R1.48/kg

= R66.60

How much tuna salad the deli has left after spoilage:

= 45kg - 5kg

= 40kg

To achieve a profit of 40% of the selling price, the selling price should be 140% of the cost price: which is:

= 140% of cost price

= 1.4 x R66.60

= R93.24

To find the price per kilogram, we divide the selling price by the remaining amount of tuna salad:

= Selling price / Remaining amount of tuna salad

= R93.24 / 40kg

= R2.33/kg

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Answer: 6 dolla per kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

Answer:

1/2 the area of the quadilateral ABCD

Step-by-step explanation:

Given a quadilateral ABCD a diagonal BD is drawn.

The area if the triangle formed should always be the half of the area of the quadilateral.

This rule works for quadilateral with similar sides and shape where a diagonal that bisect the shape equally can be drawn

Examples of these quadilateral is

Square

Rectangle

Rhombus

Answer:

d. 0.459 < p < 0.603

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.531.

\(p=X/n=69/130=0.531\)

The standard error of the proportion is:

\(\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.531*0.469}{130}}\\\\\\ \sigma_p=\sqrt{0.001916}=0.044\)

The critical z-value for a 90% confidence interval is z=1.645.

The margin of error (MOE) can be calculated as:

\(MOE=z\cdot \sigma_p=1.645 \cdot 0.044=0.072\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=p-z \cdot \sigma_p = 0.531-0.072=0.459\\\\UL=p+z \cdot \sigma_p = 0.531+0.072=0.603\)

The 90% confidence interval for the population proportion is (0.459, 0.603).

Answer:

235,414 rounded to the nearest tens is 235,410

Step-by-step explanation:

Hope that helps!

Step-by-step explanation:

Round 235,414 to the nearest Tens

235,414

235,410

I hope this helps

Answer:

yesssirrr

Step-by-step explanation:

The number of months to reach 51 can be illustrated as 3060 - 100x = 51.

The expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both.

The farmer planted 3,060 tomato plants in his garden.

Let's assume there's a decrease of 100 monthly.

The number of months, x, it will take for the number of tomato plants in his crop to reach 51 = c

This will be:

3060 - 100x = 51.

This illustrates the equation for the number of months.

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Answer:

a

Step-by-step explanation:

FALSE. Using a checking account is usually more expensive than using other services to cash checks and make purchases.

Using a checking account can actually be less expensive than using other services to cash checks and make purchases, depending on the fees charged by those other services and the features of the checking account.

For example, some check-cashing services charge a percentage of the check amount or a flat fee, which can be quite high for larger checks.

In contrast, many checking accounts offer free or low-cost check cashing as well as other features, such as free online bill pay and debit card usage, which can save money and provide greater convenience.

Additionally, some banks may offer rewards or other incentives for using their checking accounts, which can further reduce costs.

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Answer:

Pole^2 = 221^2 - 21^2

Pole^2 = 48,841 -441

Pole^2 = 48,400

Pole = 220 cm

Answer is B

Step-by-step explanation:

Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Answer:

uhhhhh 3

Step-by-step explanation:

Step-by-step explanation: I know, hardest question known to man.

angle A:

opposite angles are equal-> a= 35°

angle B:

angles in a triangle are ALWAYS equal to 180°->

b= 180°-a- a right angle

b= 180°-35°-90°

b= 55°

angle C:

angle c and the angle next to it (70°) are supplementary, meaning that added up they are 180°. You can see it on the drawing bc they form a straight line.

C= 180°-70°

C= 110°

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Stan used 19/40 of a gallon of gasoline.

Given that;

At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank.

Hence, It means that the number of gallons of gasoline that he has already put in the tank is

1/8 + 6/10 = 29/40 of a gallon.

Now, After he mowed, 1/4 of a gallon was left in the tank.

Therefore, the total amount of gasoline Stan used is

29/40 - 1/4 = 19/40 of a gallon

Thus, the total amount of gasoline Stan used is, 19/40 of a gallon

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The third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.

An even number of total minimums/maximums of the Polynomial is classified as an odd-degree polynomial. Now, we see that only the 3rd and 4th graphs are odd-degree polynomials because they have four total minimums/maximums.

For the polynomial to have a positive leading coefficient, the line must go up in the positive direction. This means that only the 1st and 3rd graphs have a positive leading coefficient due to the fact that their right-most line is going upwards.

Thus, we can say that the third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.

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Answer:

I think is higher

Step-by-step explanation: