Answer:
1. n ≥ -3
2. n < 2
Step-by-step explanation:
Adding mixed numbersFind each sum. Write in simplest form6 2/5 + 3 2/5 =
ANSWER :
The answer is :
[tex]9\frac{4}{5}[/tex]EXPLANATION :
From the problem, we have :
[tex]6\frac{2}{5}+3\frac{2}{5}[/tex]The whole numbers will be added directly.
For the fraction part, the numerator is added and the denominator will stay the same.
That will be :
[tex](6+3)+(\frac{2}{5}+\frac{2}{5})=9\frac{4}{5}[/tex]CAN SOMEONE PLEASE ANSWERT THIS?
Answer:
?
Step-by-step explanation:
what are the steps and I can help you
Which graph represents y=³√x-5
Can you guys please help me with this? This question is worth 40 points for my grade!!
A cardboard box in the shape of cube has volume of 400 cubic inches, then the length of one side box is 7.36806 inches, and the nearest length is 7.4 inches.
Based on the given conditions,
A cardboard box in the shape of cube has volume of 400 cubic inches.
One side of the box = s inches
Given expression,
[tex]s^{3}[/tex] = 400
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.
So,
We can write,
[tex]s^{3}[/tex] = 400
s = [tex]\sqrt[3]{400}[/tex]
We can express 400 as 2 × 2 × 2 × 2 × 5 × 5
That is,
[tex]\sqrt[3]{400}[/tex] = [tex]\sqrt[3]{2*2*2*2*5*5}[/tex]
[tex]\sqrt[3]{400}[/tex] = [tex]\sqrt[3]{(2*2*2)*2*5*5}[/tex]
[tex]\sqrt[3]{400}[/tex] = [tex]2*\sqrt[3]{50}[/tex]
[tex]\sqrt[3]{400}[/tex] = 7.36806.
[tex]\sqrt[3]{400}[/tex] ≅ 7.4
Hence,
The value of the cube root of 400 is 7.36806 inches
Therefore,
The length of one side box is 7.36806 inches, and the nearest length is 7.4 inches.
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The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario
The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.The function is
p(t)=4+2(t−1)
We know the nth term of the arithmetic sequence is
an = a + (n-1)d
By comparing the nth term of the arithmetic sequence and the given function
The first term a = 4
The common difference d = 2
The value of n = t
Hence, the function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.The complete question is :
The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario.
The function is an arithmetic sequence.The number 2 is the beginning number of tables.The number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.Learn more about arithmetic sequence here
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Change the same radical and simplify the radicand 3√x³
By using exponent properties, we will see that the simplification is the following:
∛x³ = x
How to simplify the expression?Here we have the algebraic expression:
∛x³
And we want to simplify this, there are two things you need to remember before doing this, these are the exponent properties:
(xᵃ)ᵇ = xᵃ*ᵇ
and:
ⁿ√x = x¹/ⁿ
Then we can rewrite:
[tex]\sqrt[3]{x^3} = (x^3)^{1/3}[/tex]
Using the first property now we can write:
[tex](x^3)^{1/3} = x^{3*1/3} = x^1 = x[/tex]
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Runners at a cross-country meet run 6 miles east and then 2 miles south from the starting line. Determine the shortest straight path they must run to get back to the starting line.
square root of 40 miles
square root of 32 miles
square root of 8 miles
8 miles
help pls i dont have much time!!
The shortest straights path for run to get back to the starting line will be;
⇒ √40
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
Runners at cross country meet run 6 miles east and again 2 miles south from the starting line.
Now,
We can apply the Pythagoras theorem to find the shortest straights path.
Hence,
Shortest straights path. = √6² + 2²
= √36 + 4
= √40
Thus, The shortest straights path for run to get back to the starting line will be;
⇒ √40
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Answer: square root of 40
Step-by-step explanation:
did the quiz!
What function translates the function f(x) = |x| to the right 2 units and up 10 units?
g(x) = |_| +__
Answer:
[tex]g(x)=|x-2|+10[/tex]
Step-by-step explanation:
Translations
[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]
Given absolute value function:
[tex]f(x)=|x|[/tex]
To translate the given function 2 units to the right, subtract 2 from the x-value:
[tex]\implies f(x-2)=|x-2|[/tex]
Then to translate the given function 10 units up, add 10 to the function:
[tex]\implies f(x-2)+10=|x-2|+10[/tex]
Therefore, the function that translates the function f(x) = |x| to the right 2 units and up 10 units is:
[tex]\large\boxed{g(x)=|x-2|+10}[/tex]
4.602 in words how can i get it in words I need help pls help me
How are the functions y=x and y=x-3 related? How are their graphs related?
Functions y=x and y=x-3 are related in a way that each output for y=x–3 is 3 units more than the corresponding output for y=x.
Their graphs are related in a way that the graph of y=x–3 is the graph of y=x translated down 3 units
A function will defines one variable in terms of the other. Functions y=x means that y will vary directly to whatever value x takes.
When the graph of function y=x is drawn, then it is a straight line through the origin.
Now, functions y=x and y=x-3 are closely related. The graphs of the two are almost the same, the only difference is that every point on function y=x has been lowered by 3 to be function y=x-3.
Hence, the output for y=x-3 is 3 units more than the output of y=x, and the graph of function y=x is translated down by 3 units to get function y=x-3
The graphs for functions y=x and y=x-3 are shown below:
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I am a factor of 40
When you pair me with 15 we have an LCM of 15
I am not one
The number that is a factor of 40 and when you pair it with 15 you have an LCM of 15 is; 5
What is the LCM of the numbers?LCM in mathematics simply means Least Common Multiple which is defined as the least common multiple of two numbers is the very lowest possible number that is divisible by both numbers.
Now, we are told that it is a factor of 40. Let us first list the factors of 40.
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Now, since you will pair it with 15, the number also has to be a factor of 15 because only a number that is a factor of 15 can have 15 as a multiple.
Factors of 15 are; 1, 3, 5, 15
Now, the only number that is common to both 40 and 15 are 1 and 5. However we are told that it is not 1. Thus, the number is 5.
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the total costs of ears of corn at the grocery depends upon how many ears of corn you buy . five ears cost $1.50 and 8 ears cost $2.40 . what is the constant rate of change \
The constant rate of change for an ear of corn at the grocery store is $0.30.
What is the constant rate of change?The constant rate of change describes the slope of a linear relationship.
The constant rate of change is the constant ratio of the output to the input in the function.
We can compute the constant rate of change by forming a set of simultaneous equations from the given variables.
Total Costs of Ears of Corn:
5 ears = $1.50 ... Equation 1 = 5c = $1.50
8 ears = $2.40 ... Equation 2 = 8c = $2.40
Subtract Equation 1 from Equation 2:
Difference = 3c = $0.90 ($2.40 - $1.50)
c = $0.30 ($0.90/3)
Constant rate of change = $0.30
Thus, the constant rate of change implies that each ear of corn at the grocery costs $0.30.
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Base on the scatter diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative? Explain your answer.
Answer:
Positive
Step-by-step explanation:
I would estimate the correlation coefficient to be positive, because the slope is up and to the right, with both the x- and y- values becoming larger and larger which indicates that the correlation is positive.
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-Name The Slope
-Name The Starting Value
-How many blocks would be in figure 100
A line's slope is a measurement of how steep a line is. Slope is calculated by dividing the change in y values by the change in x values.
In math, what is a slope?A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
Slope is a measure of the steepness of a line.
Slope = rise / run = Δy / Δx.
Slope= Δx /Δy = 4−0 /2−5 = 4 / −3
Slope from two points, for instance
We are informed that there are two possible solutions to a particular linear equation:
Solution: x = 11.4, y = 11.5, x = 11.4, y = 11.5, space, space, space, y = 11.
Answer: x=12.7 y=15.4 x=12.7 y=15.4
Slope=
Δx / Δy = 12.7−11.4 /15.4−11.5
= 1.3 /3.9
= 13 /39
=3.
The line has a 333 slope.
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(3x+5)*
/
Y
X(2x-5)*
X
Z
Solve for X. note: A straight angle is exactly 180°.
Answer:
36
Step-by-step explanation:
3x+5+2x-5 = 180 ( being linear pair)
5x = 180
x= 36
Write the expression in simplest form:
The product of 4 and the sum of 10 and a number x.
ILL GIVE BRAINIEST I NEED IT NOW
Answer:
40x
Step-by-step explanation:
4x10x
=
40x
Answer:4x+50?
Step-by-step explanation:
4(10+x)
Simplified into 50+4x
So basically 4x+50
Please help! Two stores are having sales on cameras.
Store Z is offering a 17% off sale
Store B is offering all cameras on sale for 1/6 of their original price
Which store has the better sale price for a camera with an original price of $90?
A- Store Z because the sale price would be $74.70
B- Store B because the sale price would be $75
C- Store Z because the sale price would be $15.30
D- Store B because the sale price would be $15
Which expression is equivalent to (4.3x + 4)(−1.8x)?
The expression which is equivalent to the given expression is -7.74x² - 7.2x.
The given expression is (4.3x + 4)(−1.8x).
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Now, the given expression can be solved as follows:
(4.3x + 4)(−1.8x)
Using distributive property
4.3x × (−1.8x) + 4 × (−1.8x)
= -7.74x² - 7.2x
Therefore, the expression which is equivalent to the given expression is -7.74x² - 7.2x.
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Please help ASAP, will mark brainliest!
m
y = [?]
The value of y = 12.
Given,
m ∠ABC = 40° and BD is the angle bisector of ∠ABC.
To find the value of y=?
Now, According to the figure,
For value x, (Adjacent angles)
3x - 1 = 34 - 2x
3x + 2x = 34 +1
5x = 35
x = 7
And, For value of y ,
A and C are altitude
3y +6 = 5y - 18
3y - 5y = -18 - 6
-2y = -24
y = 12
Hence, The value of y = 12.
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HURRY!!!
what is negative 24 times positive 24
-24 x 24
Answer:
The answer is -576
Step-by-step explanation:
-24×+24
–×+= –
-24×24= -576
3) Lacie decides to start a small business making monogrammed towels. She can set aside $3,020 for monthly costs. Fixed costs are $1,850 per month and variable costs are $1 per set of towels. How many sets of towels can she afford to make per month?
Answer: 1170 towels
Step-by-step explanation:
Let x be the no. of towels that can be made in a month
The equation for total cost then becomes,
3020 = 1850 + 1x
1170 = 1x
x = 1170 towels
EspanolA lamp has the shape of a parabola when viewed from the side. The light source (which is at the focus) is 3 centimetersfrom the bottom of the lamp and the lamp is 12 centimeters deep. How wide is the lamp?? cm? cma(-a, 12)ca. 12)B12 cm| (0.3)13 cmLightsource(0,0)3 cm12 cmcmCheckSave For LaterSubmit Assignment
It is important to know that the definition of the parabola is
[tex]x^2=4py[/tex]Where p represents the focus coordinate, so p = 3. Also, we know that y = 12, let's find x
[tex]\begin{gathered} x^2=4\cdot3\cdot12 \\ x=\sqrt[]{144} \\ x=12 \end{gathered}[/tex]But, the wide of the lamp is 2x, so
[tex]2x=2\cdot12=24[/tex]Hence, the wide of the lamp is 24 cm.Expand The expression -1/4(8r+12y) to write an equivalent expression. Use as few terms as possible.
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Ax + By = C is the standard form of the line equation, where A and B are constants.
What exactly is a line equation?A straight line is a mathematical equation which explains the connection between the straight line's coordinates.It can be written in a variety of ways and represents a line's slope, x-intercept, and y-intercept.The most common straight line equation forms are y = mx + c and ax + by = c.A straight line is an image created by connecting the two points A (x1, y1) and B (x2, y2) as closely as possible as well as extending both ends to infinity.As a result, a linear equation with x and y variables has the standard form: Ax + By = C, in which A, C and B are constant.
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what is the slope of y-intercept of the linear function shown (-6,0),(2,-2)
Answer:y=2x−6
Step-by-step explanation:
Find the surface area of the rectangular prism.
8 in
6 in
3 in
Answer: 180
Step-by-step explanation: You first have to find the surface area of each face of the rectangular prism. So, we can multiply 8 and 6 to find the largest face, 8 and 3 to find the second largest face, and 6 and 3 to find the smallest face. We also know that there are two of each face.
8*6=48
8*3=24
6*3=18
Now we can either double everything now or add everything and then double it.
48*2=96
24*2=48
18*2=32
96+48+32=180
or we can do it this way:
48+24+18=90
90*2=180
If point (4, 5) is on the graph of a function, which equation must be true?
f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1
The correct representation of the function with point ( 4, 5 ) is f(4) = 5.
A function called f is defined by the notation y = f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).
A mathematical statement known as an equation demonstrates the equality of two mathematical expressions.
Now a point on the graph is ( x, y ).
Consider the point ( 4, 5 ),
Then. x = 4 and y = 5.
So, the correct representation of a function will be:
y = f(x)
5 = f(4)
Therefore the correct representation of the function is (c) f(4) = 5.
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Heather is building a fence around her garden. For every 2 feet of fencing, the cost is $18.
Complete the table below showing the length of the fence and the cost.
Length of fencing (feet)
Cost ($)
2
18
45
7
72
10
X
S
The length of the fence that corresponds to the cost of fencing respectively is =
Length of fencing (ft): 2, 8, 5, 7, 10
Cost of fencing ($): 18, 72, 45, 63, 90.
What is Length?Length is defined as the measurement of how long a figure or structure is which is usually measured meters, centimetres or feets.
The cost of every 2 feets of the fence Heather is building is = $18
Cost for 8ft = $72, thus;If 2ft = 18
8ft = ×
Make X the subject of formula,
X = 8 × 18/2
X= 4×18 = $72
Cost for 5ft = $45, thus;If 2ft = 18
5ft = ×
Make X the subject of formula,
X = 5 ×18/2
X = 5×9
X = $45
Cost for 7ft = $63, thus;If 2ft = 18
7 ft = ×
Make X the subject of formula,
X = 7× 18/2
X = 7× 9=$ 63
Cost for 10ft = $90, thus;If 2ft = 18
10ft = X
Make X the subject of formula,
X = 10 × 18/2
X= 10× 9
X = $90
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The answer to this hegarty maths question
The expression written as a single power(exponent) is 9⁶ .
Exponentiation, abbreviated as bⁿ, is a mathematical process that involves the base number (b) and the exponent (or power) number (n). The word is pronounced "b (elevated) to the (power of) n."
When n is a positive integer, exponentiation corresponds to repeated base multiplication because bn is the result of multiplying n bases. Normally, the exponent is shown as a subscript to the right of the base. The term "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, most simply, "b to the nth," is used to describe bⁿ.the given expression is of the form:
9⁶÷9³
Which is equivalent to:
9⁶⁻³ (properties of exponents)
this is equal to 9⁶ .
The value of the expression is 9⁶ .
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alonzo, bob, and casper work bussing tables at a restaurant. alonzo has a 55% chance, bob has a 15% chance, and casper has a 30% chance of bussing tables in the middle area of the restaurant. if alonzo is bussing tables, he has a 5% chance of breaking a dish. if bob is bussing tables, he has a 2% chance of breaking a dish. finally, if casper is bussing tables, he has a 3% chance of breaking a dish. if there is a broken dish in the middle of the restaurant, what is the probability it was broken by casper?
There is 0.009% probability that Casper broke the dish.
Firstly we will calculate the probability of bussing the table by each person.
Probability of bussing tables by Alonzo = 55%
Probability = 0.55
Probability of bussing tables by Bob = 15%
Probability = 0.15
Probability of bussing tables by Casper = 30%
Probability = 0.3
Now calculating the probability of breaking the dish by each person
Probability of breaking dish by Alonzo = 5%
Probability = 0.05
Probability of breaking dish by Bob = 2%
Probability = 0.02
Probability of breaking dish by Casper = 3%
Probability = 0.03
The phenomenon of bussing of tables and breaking the dish is independent. So, probability will be calculated by the formula -
P (A and B) = P (A) × P (B)
P (Casper of bussing the table and breaking the dish) = Probability of bussing tables by Casper × Probability of breaking dish by Casper
Keep the values
P (Casper of bussing the table and breaking the dish) = 0.3 × 0.03
Performing multiplication
P (Casper of bussing the table and breaking the dish) = 0.009
Hence, probability is 0.009%.
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