Please help me with this!

Answer:

88 square cm

Step-by-step explanation:

Surface area of down rectangular prism:

      l = 6cm ; w = 3 cm & h = 2 cm

   [tex]\sf \boxed{Total \ surface \ area \ of \ rectangular \ prism = 2*(lw + wh+hl)}[/tex]

                                                                       = 2*(6*3 + 3*2 + 2*6)

                                                                        = 2* (18 + 6 + 12)

                                                                         = 2 * 36

                                                                          = 72 cm²

Lateral surface area of the top rectangular prism:

    l = 3 cm

    w = 1 cm

     h =  4 - 2 = 2 cm

         LSA = 2h( l + w)

                = 2*2 *( 3 + 1)

                 = 4 * 4

                 = 16 cm²

Surface area of the shape = 72 + 16

                                              = 88 cm²

Answer:

a = 88 cm2

Step-by-step explanation:

[tex]a=(4)(3)+2(4)(1)+2(5)(2)+2(3)(2)+(1)(3)+6(3)+5(3)=12+8+20+12+3+18+15[/tex]

[tex]a=88cm^{2}[/tex]  

Hope this helps

Answer:

The two numbers that multiply to give 56 and add up to give -30 are -8 and 7.

-8 * 7 = 56

-8 + 7 = -1

The correct symbolic expression for a is option C) [tex]\frac{ma_{1} +F}{m}[/tex]

A symbolic expression, also known as a mathematical expression, is a combination of numbers, variables, and mathematical operators (such as +, -, *, /) that can be evaluated to produce a numerical result.

Symbolic expressions can also contain functions, constants, and mathematical operations like logarithms, trigonometric functions, etc. They can be used to model physical phenomena or to solve mathematical problems.

A logarithmic function is a mathematical function that expresses the power (or exponent) to which a fixed number (the base) must be raised to produce a given value.

It is typically written in the form "logb(x)" where b is the base and x is the value being evaluated. The most common base used is 10 (common logarithm) or e (natural logarithm)

These expressions can be used to represent mathematical concepts, relationships, or equations.

Therefore, The correct symbolic expression for a is option C) [tex]\frac{ma_{1} +F}{m}[/tex].

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Answer: We can use the formula A = Pert to find the value of the principal investment P

Where A is the future value of the investment, r is the annual interest rate, t is the number of years, and e is the mathematical constant approximately equal to 2.718

In this case,

A = 37950.24, r = 0.059, t = 16

We can plug in the given values into the formula and solve for P:

37950.24 = P * e^(0.059 * 16)

To find the value of P we will divide both sides by e^(0.059 * 16)

P = 37950.24 / e^(0.059 * 16)

using the calculator to find the value of e^(0.059 * 16) gives 1.966862298

P = 37950.24 / 1.966862298

The value of P is $19,169.99.

Rounded to the nearest penny $19170

Therefore, the answer is $19,170.00

Step-by-step explanation:

The temperature change that is required is; A reduction in temperature by 8°C.

We are told that;

The freezer should be working at -18°C.

The temperature on the freezer marks -10°C.

Now, what we see here is basic arithmetic because we simply want to find the additional temperature that will make the current reading to be equal to the ideal temperature required for it to wor. Thus, what we will do is to simply subtract the current temperature from the ideal one to find out the temperature required to make it work well.

Thus;

Temperature change = -18 - (-10)

Temperature change = -18 + 10

Temperature change = -8°C.

We see that the freezer still needs its' temperature to be reduced by 8°C.

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Complete question is;

Tom works in the cold food department in a supermarket. The thermometer shows the temperature of one of the freezers. The freezer should be working at -18°C. The temperature on the freezer marks -10 The temperature should increase or decrease by how many °C?

The given graph function is a radical function. The domain of the function is  [-4,∞). It can represent as x≥-4. Option A is the correct option.

What is a function?

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain. Originally, functions were the idealization of how a varying quantity depends on another quantity.

The graph starts at point (-4,0).

Then graph extended the upward direction vertically and the positive x-axis horizontally.

Since the graph extended the positive x-axis, thus x-coordinates of the points on the graph are also increasing.

The x-coordinate of the points on the graph are the domain of the graph.

Since (-4,0) is a point on the graph, thus the domain of the graph starts from -4.

The domain is [-4,∞).

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Answer:ok

Step-by-step explanation:

ol

Hey there!

Given:

[tex]5x^(^2^n^-^1^)+(2x^(^3^n^+^1^))^2[/tex]

Simplified Solution:

[tex]5x^2^n^-^1+4x^6^n^+^2[/tex]

Hope this helps!

The graph of g is a vertical translation 2 units up of the graph of f.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Here,  the two functions are f(x) = -2x

and Now, g(x) = f(x) + 2

g(x) we obtained by translating the graph f(x).

g(x) = -2x + 2

Implies f(x) is increased by 2 or graph translated 2 units upwards.

Thus, the graph f(x) is translated vertically upward by 2 units to g(x).

Hence, the graph of g is a vertical translation 2 units up of the graph of f.

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The iterated integral by converting to polar coordinates is  [tex]\frac{2a^{2} }{5}[/tex]

Evaluating an iterated integral by converting it to polar coordinates involves the following steps:

Here, [tex]\int\limits^a_0 \int\limits^0_{-\sqrt{a^{2} - y^{2} } } {6x^{2} y} \, dx dy[/tex]

Now, converting it into the polar form:

[tex]\int\limits^\pi _\frac{\pi }{2} \int\limits^a_0} {6\cos^{2}\theta}\ {sin\theta\ r^{4} dr\ d \theta[/tex]

[tex]= \int\limits^\pi _{\frac{\pi}{2} } [\frac{6cos^2\theta}{5}\ r^5 sin\theta]^{a}_{0} \, d\theta[/tex]

[tex]= \int\limits^\pi _{\frac{\pi}{2} } [\frac{6\ a^2 \cos^2\theta sin\theta}{5}] \, d\theta[/tex]

[tex]= [-\frac{2a^{2} }{5}\ cos^{3}\theta ]^{{\pi} }_\frac{\pi}{2}[/tex]

[tex]= \frac{2a^{2} }{5}[/tex]

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The complete question is:

Evaluate the iterated integral by converting it to polar coordinates:

[tex]\int\limits^a_0 \int\limits^0_{-\sqrt{a^{2} - y^{2} } } {6x^{2} y} \, dx dy[/tex]

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Pool A is filling up slower than Pool B because slope of the graph of Pool A is less than that of the graph for Pool B.

The slope of the graph tells you the unit-rate in gallons per minute.

Graphs are an essential type of computing tool in mathematics. The nodes and edges that make up a graph are referred to as its elements. Whether "directed" or "undirected," nodes can only move through a graph in a single direction (either direction may be traversed from node to node).

In contrast to a chart, a graph is a representation of linked values in a multidimensional space. Graphs are helpful for examining the various relationships among specific data points.

A graph's search algorithm seeks out the shortest route between any two nodes. The best path is determined by an algorithm that considers the weight of each path on a graph.

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At the height of the swing forth, the swing seat would be at a maximum height of 2 + (6 * (1 - cos(pi/4))) = 4 feet above the ground.

Cosine is a trigonometric function that relates the length of the adjacent side of a right triangle to the length of the opposite side to the hypotenuse. It is represented by "cos" and its formula is cos(x) = adjacent / hypotenuse. It is commonly used in mathematics, physics, and engineering to solve problems related to angles and vectors.

Cosine is a fundamental trigonometric function that is used in many areas of mathematics, physics, and engineering. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse in a right-angled triangle. It can also be defined as the dot product of the unit vector pointing in the direction of the angle and the unit vector pointing in the direction of the adjacent side. Cosine is periodic with a period of 2π and is always between -1 and 1, inclusive. It has many important properties and relationships with other trigonometric functions such as sine, tangent, and cotangent.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{n^2 - 5n + 8}[/tex]

[tex]\mathsf{= 2^2 - 5(2) + 8}[/tex]

[tex]\mathsf{= 2\times 2 - 10 + 8}[/tex]

[tex]\mathsf{= 4 - 10 + 8}[/tex]

[tex]\mathsf{= -6 + 8}[/tex]

[tex]\mathsf{= 2}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

36,323-17,000

Step-by-step explanation:

just go to the thousands place and look back one place value

Interval notation: [0, ∞). To arrange the intervals in interval notation, use brackets and parenthesis.

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Answer: 3a − 2/2a(3a + 1)(3a − 1)

Step-by-step explanation:

I simplified it and got 3a − 2/2a(3a + 1)(3a − 1)

Step-by-step explanation:

we can do even a little bit better than wild guessing and trying.

3x + 2y = 13

tells us that the sum of 2 terms is an odd number.

that means one term has to be odd and the other even, as only then their sum will be odd.

2y is because of the included factor 2 an even number. always.

so, 3x has to be odd.

and that means x has to be odd too. because an even number multiplied with any number is always even.

so, x can only be 1 or 3. because 3×5 = 15 (3×7 = 21, 3×9 = 27) and already too big for the sum 13.

so, for x = 1 we have

3×1 + 2y = 13

3 + 2y = 13

2y = 10

y = 5

for x = 3 we have

3×3 + 2y = 13

9 + 2y = 13

2y = 4

y = 2

so, the answer is either y = 2 or y = 5.

Height and contour: The matrix band should not extend more than 2 mm beyond the occlusogingival height of the crown of the tooth.

A dental matrix band can be defined as a properly shaped piece of metal, or other material, inserted. To support and give form to the restoration during placement, and hardening of the restorative material.

The primary function of a matrix band is to compensate for missing walls and thus provide containment of the filling material.

Matrix band systems have evolved over time and newer systems are made to give ease of use to operators and also cover for flaws and difficulties in older systems.

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Answer:

Here is a process on how to solve it:

Step-by-step explanation:

The midline theorem states that a seg that connects the midpoints of 2 sides is parallel and equal to 1/2 (50%) of the other side.

Look for the line that is drawn from one midpoint of another (you can see because it is usually drawn or you can see bisected segs) then multiply it by 2 to find the value of the other side.

Hope this helps!

Both lessons will be on the same day again after 21 days.

We will determine the least common multiple when two events occur simultaneously.

If I take tuba lessons every third day and piano lessons every seventh day,

Least common multiple of 3 and 7 will be,

Multiples of 3 = 1 × 3

Multiples of 7 = 1 × 7

Least common multiple (LCM) of 3 and 7 = 1 × 3 × 7

                                                                    =21

Therefore, I will have both the lessons after 21 days.

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The number 169 is called the numerator or dividend, and the number 3 is called the denominator or divisor. The quotient of 169 and 3, the ratio of 169 and 3, as well as the fraction of 169 and 3 all mean (almost) the same: 169 divided by 3, often written as 169/3.

The number that is on top is called the numerator, and the number on the bottom is called the denominator (the prefix 'de-' is Latin for reverse) or divisor. These two numbers are always separated by a line, which is known as a fraction bar. This way of representing fractions is called display representation.

When we divide two numbers, the number that is being divided is the dividend, whereas the number by which we divide is the divisor. For example, 12 candies are to be divided among 3 children. So we have 12 ÷ 3. Here, 12 is the dividend, and 3 is the divisor.

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question-  What is 169 when divided by 3 ? also write the remainder, and with decimal .

The first step in isolating the variable in this equation is to subtract 75 from both sides. Option A is correct.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given expression,
1/2p + 75 = 100

In order to isolate the variable our first step should be to subtract 75 from both sides
1/2P = 25

Then, multiply by 2 on both sides
P = 50

Thus, the first step in isolating the variable in this equation is to subtract 75 from both sides. Option A is correct.

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Answer:The domain of Margaret's budget is the number of clothes she can buy.

The constraint on the domain is between 0 and the maximum number of clothes $50 can buy.

From the question, we understand that her budget is: $50.

The number of clothes she can buy is 0 or more.

And she cannot buy more than what $50 can afford.

This means that, the constraint on the domain is the amount of cloth she can purchase.

Step-by-step explanation:

becasue i know and i know i know

6.2353535353535 as a fraction is 623535353535/1000000.

This fraction is written as a mixed number by dividing the numerator by the denominator to get 623,535,353,535/1,000,000. This can be further simplified to 623,535/1,000, which is the same as 623 5/8.

Answer:

1/7

Step-by-step explanation:

4/4 is 1 and 28/4 is 7 so 1/7

The answer is 1/7.

To simplify : 4/28

To simplify fractions, we should follow these steps:

Here, the given fraction is 4/28.

At first, we need to write the factors of the numerator and the denominator

Factors of the numerator, 4 = 1, 2, 4.

Factors of the denominator, 28 = 1, 2, 4, 7, 14, 28.

So, the common factors are 1, 2 and 4.

Dividing the numerator and denominator by the common factor, 2;

(4/2) / (28/2)   or,

2/14

And,

(2/2) / (14/2)    or,

1 / 7.

Hence, 1/7 is the simplified fraction of 4/28.

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Answer: The ratio between the units of measurement of nanometers and inches is 0.5 nm to 10 inches. This means that for every 0.5 nanometers, the equivalent measurement in inches is 10 inches.

We can use this ratio to find the conversion of other values from nanometers to inches as well.

We know that 1 nm = 20 inches, we can multiply the value 1 by 20 to get 20 inches

So 3 nm will be 3 * 20 = 60 inches

so, the value that can be placed in the ratio table where the question marks (?) are would be 1 nm = 20 inches

and 3 nm = 60 inches.

Step-by-step explanation:

The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.

The perimeter of a form is its circumference. The interior space of a form is measured by area. The perimeter is the space around a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole length of a shape's boundary is referred to in geometry as the perimeter of that shape. The length of each side and edge that surrounds a shape is added to find its perimeter. It is measured in linear distances such as centimeters, meters, inches, or feet.

given

the scale factor in the following format: a: b = 5/7 for ABCDE and PQRST

ABCDE's perimeter is equal to the total of its sides,

which is 65 (10 + 10 + 10 + 20 + 15).

the sum of all the sides of PQRST equals 91.

The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.

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