Answer:
C
Step-by-step explanation:
if you substitute in for x and y it works
Find the sum of the equation
What is the surface area of this shape?
Answer:
88 square cm
Step-by-step explanation:
Surface area of combined solids: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
36,323-17,209 rounding to the nearest thousand
Answer:
36,323-17,000
Step-by-step explanation:
just go to the thousands place and look back one place value
Tom works in chilled food department in a supermarket all fresh juices should be kept at a certain temperature as shown on thermometer
The temperature change that is required is; A reduction in temperature by 8°C.
How to find the change in temperature?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?
you have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons . in how many days will you have both lessons on the same day again
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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uhhh pls put the process of how u got the answer
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!
Write the inequality using interval notation
a movie theater can sell as little as 425 tubs of popcorn and as many as 800 tubs of popcorn on a friday night
Interval notation: [0, ∞). To arrange the intervals in interval notation, use brackets and parenthesis.
Write the inequality using interval notation ?To arrange the intervals in interval notation, use brackets and parenthesis.The number at the extremity of the interval is included when it is enclosed in brackets [or], and it is not included when it is enclosed in parentheses (or). We always use parentheses for infinite.For instance:Numbers higher than a and less than or equal to b are not included in this interval, so a x b applies.In this case, the expression x > 0 refers to numbers greater than or equal to zero.Since there is no upper bound specified, we must use a right parenthesis with an infinite symbol and a left bracket for zero in interval notation (since it includes the integer). Therefore, this is [0,] in interval notation.We first create a number line on which the extremes of the interval or intervals can be seen before graphing this.If one of them is an endless symbol, we must indicate that with an arrow, using a left arrow for - and a right arrow for. Then, we can use a bracket or parenthesis for the extremes.To learn more about interval notation refer
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The size of an animal population in a year t is given by P(t)=210t+400/(t+2). Here t=0 represents the year 2004 and P(t) is the size of population in thousands of individuals. find the size of population in year 2004
The size of the animal population in year 2004 (t=0) is 200 thousands individuals.
What is population?Population is a term used to describe the total number of people that live in a specific geographic area. This can be a country, a state, a city, or any other area of the world. Population size and density are important factors in understanding the landscape of an area and its resources.
The size of the animal population in year 2004 (t=0) can be calculated by substituting t=0 into the given equation:
P(t)=210t+400/(t+2)
P(0)=210 × 0 + 400/(0+2)
P(0)=400/2
P(0)=200
Therefore, the size of the animal population in year 2004 (t=0) is 200 thousands individuals.
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Which choice is the solution set of the inequality below?
|x>5.2
A. X > -5.2
B. -5.2
C. -5.2
D. x < 5.2
E. 0
F. x< -5.2 or x> 5.2
The solution set x<-5.2 or x>5.2 is true for the inequality |x|>5.2.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides.
The given inequality is |x|>5.2.
So, the value of x should be greater than 5.2.
For example take x=6, then the given inequality will be -
|6|>5.2 = 6>5.2, so this is true.
Now take x=-6, then the given inequality will be -
|-6|>5.2 = 6>5.2, so this is also true.
Similarly, among the different choices x<-5.2 or x>5.2
The condition x>5.2 is already true.
Also, the condition x<-5.2 is also true for x if the value is lower than -5.2.
Therefore, the inequality x<-5.2 or x>5.2 is true.
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What is the first step in isolating the variable in this equation? (½)p + 75 = 100 A Subtract 75 from both sides. B Subtract ½ from both sides. C Divide both sides by 75. D Divide both sides by ½.
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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I need the answer please
Answer:ok
Step-by-step explanation:
ol
1. Determine whether this quadrilateral is a parallelogram..
A. Yes; opposite sides are parallel
B. Yes; opposite sides are congruent
C. Yes; opposite angles are congruent
D. Yes; diagonals bisect each other
E. Yes; consecutive angles are supplementary
F. Yes; one pair of sides are both congruent and parallel
G. No; not a parallelogram
A parallelogram is a quadrilateral with congruent and parallel opposite sides. Thus, to justify that the given quadrilateral is a parallelogram, option E is correct.
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Quadrilaterals are shaped with four straight sides. Examples are; square, rectangle, parallelogram, trapezium, etc.
A parallelogram is a type of quadrilateral that has opposite sides to be equal and parallel. It has some distinguishing properties which can be used to differentiate it from other quadrilaterals. Some of the are:
opposite sides are equalopposite sides are parallelconsecutive angles are supplementaryopposite angles are congruentThus, in the given question the required option is C. consecutive angles are supplementary.
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Identify the error(s) and explain the correct answer. 6.5x+3.05x = 38.2 10x = 38.2 10 /10 x = 3.82
Subtract the sum that appears on the same side of the equation as the "x" to isolate the "x" on one side of the algebraic equation. For instance, rewrite the equation "x + 5 = 12" as "x = 12 - 5" and then find "x" in the new equation. The answer is "x = 7"
A linear equation example is what?Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
How should a linear equation be written?A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the numbers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.
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A and B are vertical angles if mA=(x+27) and mB = (2x+20) then find value of x
The value of x is 7.
What are vertically opposite angles?Two or more angles are said to be vertical angles if only they are formed by same two lines intersecting at a point. Thus the two angles have equal measure of value.
Given that A and B are vertical angles, then this implies that there is a relationship between them i.e they are opposite and equal.
Such that;
m<A = m<B
(x + 27) = (2x + 20)
x + 27 = 2x + 20
collect like terms,
-20 + 27 = 2x - x
7 = x
x = 7
Therefore, the value of x is 7.
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when using matrix bands on these teeth, the band should be trimmed to which of the following dimensions?
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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Help me, please pls pls pls
sketch the graph of the function. f(x, y) = 9 − 9x2 − y2
A function is defined as a relation between a set of inputs, each with an output. The sketch of the function f(x,y) = 9 - 9x² - y² is given below.
f(x,y) = 9 - 9x² - y²
Let the given function is equal to 0, Then
9 - 9x² - y² = 0
y² = 9 - 9x²
The function can be written as
y² = 9 - 9x²
A function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. Functions are commonly denoted by f(x). x is the input. Here's the technical definition of the function:
A relationship from a set of inputs to a set of possible outputs.
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Glen drew the model shown below for 1.95÷5
Answer:
0.39 is the answer to this question
Algebra mathematic 8 class
Answer: 3a − 2/2a(3a + 1)(3a − 1)
Step-by-step explanation:
I simplified it and got 3a − 2/2a(3a + 1)(3a − 1)
Holly needs to buy some cloth to make masks. The following deals are available at various stores. Choose the best deal.
the best deal for holly to do shopping from the first store.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, Holly needs to buy some cloth to make masks. The following deals are available at various stores.
$16.52 per 6 yd$13.85 per 5 ydFor the first store:
Price per yard = 16.52/6$
Price per yard = 2.7533$
For the second store:
Price per yard = 13.85/5$
Price per yard = 2.77$
therefore, it is best for her to buy from the first store.
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Complete question:
The following deals are available at various stores. Choose the best deal.
$16.52 per 6 yd$13.85 per 5 yda
$16.52 for 6 yd
b
$13.85 for 5 yd
c
Neither
I need help with this please
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:
Step 1: Write the factors of the numbers in the numerator and denominator in step one.Step 2: Determine the shared factors that both the numerator and the denominator share.Step 3: At this point, we must divide the numerator and denominator by each other until there is only one other common component left.
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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NEED HELP ASAP PLEASE
The equation that represent y, the total number of letters Natasha put in an envelope in x hours is y = 42x.
How to represent equation?Natasha has a job putting letters to the envelope to be mailed. In one hour she put 42 letters in the envelope.
Therefore, the equation that best represent y, the total number of letters Natasha put in an envelope in x hours if she continue at the same rate can be calculated as follows;
1 hours = 42 envelopes
x hours = ?
cross multiply
Therefore,
y = 42x
where
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-6.2353535353535 as a fraction
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.
Recall swinging on a swingset as a kid. Assuming the chains or ropes for the swing were kept taut, the seat of the swing traced a circular arc. Now suppose you're on a swing hanging from ropes which are 6 ft long such that the seat is positioned 2 ft above the ground at rest. You swing forth to a terminal position /4 radians from your initial position at rest on the swing. At the height of your swing forth how high are you off the ground?
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.
What is cosine?
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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What is the domain of the following function represented by ordered pairs?
{(4, 9), (–6, 1), (–2, 5), (3, 1)}
{5, 9}
{1, 5, 9}
{–6, –2, 3, 4}
{–6, –2, 1, 3, 4, 5, 9}
The domain of the ordered pairs {(4, 9), (–6, 1), (–2, 5), (3, 1)} is (c) {–6, –2, 3, 4}
How to determine the domain of the ordered pairs?From the question, we have the following parameters that can be used in our computation:
{(4, 9), (–6, 1), (–2, 5), (3, 1)}
Rewrite as
(x, y) = {(4, 9), (–6, 1), (–2, 5), (3, 1)}
The domain is the set of the x values
So, we have the following representation
x = {4,–6, –2, 3}
Remove repeated entries and reorder
x = {–6, –2, 3, 4}
So, the domain is x = {–6, –2, 3, 4}
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Use the drop-down menus to complete the statements to match the information shown by the graph.
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.
What is graph?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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Evaluate the expression when n=2. n^2-5n+8
[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]
Evaluate the iterated integral by converting to polar coordinates_ J" La 6x2y dx dy a2 y2
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:
Identify the region of integration in the xy-plane.Convert the region of integration to polar coordinates. This typically involves finding the bounds for r and theta in terms of x and y.Write the iterated integral in terms of polar coordinates, with the outer integral being with respect to r and the inner integral being with respect to theta.Evaluate the integral by using the bounds found in step 2 and the appropriate substitution.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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2
4
2
X =
X
[?]
2 answer?
x = 2
All the sides are 2 so if the length on the bottom is 2, then it would be the same for the top :)
Answer:
x=2
Step-by-step explanation:
This shape is a regular polygon so all the sides are the same length
Based on the correct answer from part A ( m/m times a1/1) + (1/1 times F/m) which of the following is the correct symbolic expression for a?
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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