Write √-45 in simplest radical form.
Answer: 3[tex]\sqrt4[/tex]
Step-by-step explanation:
Simplified radical form of the square root of 45
Square root of 45 can be expressed as, √45 = √(9 × 5) = 3√5. 45 is not a perfect square, so, it remains within roots. The simplified radical form of the square root of -45 is 3√5.
Answer:
3√5i
Step-by-step explanation:
[tex]\sqrt{-45}=\sqrt{-1}\sqrt{45}\\\sqrt{-1}\sqrt{45}\\i\sqrt{45}\\**Prime\:Factorization*\\3 \times 3 \times 5 = 45\\=3\sqrt{5}i[/tex]
➲ Hope this helps.
8+(-7)^2-(7∙-2+1)
help. please
I know the answer is 70 but just show me how you get 70????
The simplified form of the expression 8 + (-7)² - (7 × (-2) + 1 ) is 70.
What is the simplified form of the expression?Given the expression in the question;
8 + (-7)² - (7 × (-2) + 1 )
Simplify each term, raise -7 to the power 2
8 + (-7)² - (7 × (-2) + 1 )
8 + 49 - (7 × (-2) + 1 )
Multiply 7 by -2
8 + 49 - ( -14 + 1 )
Add -14 and 1
8 + 49 - ( -13)
Remove parenthesis by multiplying -1 by -13
8 + 49 + 13
Now, simplify by adding the number
8 + 49 + 13
57 + 13
70
Therefore, the simplified form of the expression 8 + (-7)² - (7 × (-2) + 1 ) is 70.
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A triangle with vertices A(1,1), B(3,4), C(6,3) is rotated counterclockwise about the origin 90°. What are the coordinates of the vertices of the new triangle?]
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
Rotation means the circular movement over the object around the center.
Rotation can be done in both directions like clockwise as well as counter clockwise It requires rotation implies negative magnitude A counter clockwise turns has a positive magnitudeVertices of triangle = A(1,1) , B(3,4), C(6,3)
Triangle is rotated counterclockwise about the origin 90°.
In counterclockwise rotation (x,y) becomes (-y,x)Then
the new coordinates of triangle are A', B', C'
A(1,1) = A'(-1,1)
B(3,4) = B'(-4,3)
C(6,3) = C'(-3,6)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
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-3h ≤ 42
-v/2 ≤ 9.5
-4/5m ≥ -8
i dont know how to solve these
The solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10
How to solve the inequality expressions?To do this, we simply solve the expressions one after the other
So, we have:
-3h ≤ 42
Divide both sides by -3
So, we have
h ≥ -14
-v/2 ≤ 9.5
Multiply both sides by -2
v ≥ -19
-4/5m ≥ -8
Multiply both sides by -5/4
m ≤ 10
Hence, the solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10
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xy = 4
y = 2x + 2
Solve linear systems by substitution
Answer:
Step-by-step explanation:
A speculative statement about the relationship between two or more variables is known as a? a-correlation b- hypothesis c- sample d- research design
A speculative statement about the relationship between two or more variables is known as a b - hypothesis.
Variables:
A variable is a measurable trait or characteristic that is subject to change under different conditions.
Given,
Here we need to find what is meant by a speculative statement about the relationship between two or more variables.
The definition of Hypothesis is,
It is basically a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
So, a speculative statement about the relationship between two or more variables is known as a b - hypothesis.
So, the option (b) - Hypothesis is correct.
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Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle.
P = 2L + 2W
Write the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4)
The slope-intercept equation of a line that passes through the points (-2,5) and (6,-4) is [tex]y=-\frac{9}{8}x+\frac{11}{4}[/tex]
We know that the slope-intercept form of the line is y = mx + c, where m is the slope of the line and c is the y-intercept of the line.
For given question we have been given two points (-2,5) and (6,-4)
We need to find the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4).
Using two-point form the equation of the line is,
[tex]\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}[/tex]
Let (x1, y1) = (-2,5) and (x2, y2) = (6,-4)
So, the equation of the line is,
[tex]\frac{y-5}{-4-5} =\frac{x-(-2)}{6-(-2)}\\\\ \frac{y-5}{-9} =\frac{x+2}{6+2}\\\\\frac{y-5}{-9} =\frac{x+2}{8}\\\\ 8(y-5)=-9(x+2)\\\\8y-40=-9x-18\\\\8y=-9x-18+40\\\\8y=-9x+22\\\\y=-\frac{9}{8}x+\frac{11}{4}[/tex]
above equation is in the slope-intercept form.
Therefore, the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4) is [tex]y=-\frac{9}{8}x+\frac{11}{4}[/tex]
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How do I write A number is equal to twice the sum of the same answer and ten write as an equation that matches the verbal sentence
The number that fits in the given situation is -20.
What exactly are equations?An equation, in its most basic form, is a mathematical statement that shows that multiple mathematical expressions are equal.For example, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions detached by a 'equal' sign.Now,
Let us suppose the number is x.
The sum of the same number and ten will be written as x + 10.As a result, the next condition is twice the sum, which can be written as:
2 × (x + 10)As a result of the condition, we can write the equation as:
x= 2 × ( x + 10 ) or 2x + 20 = xSolve for x: x = 2x + 20
2x + 20 = xTaking 20 off both sides:
2x + 20 - 20 = x - 20 2x = x- 20 2x - x = -20 x = -20Therefore, the number that fits in the given situation is -20.
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how to solve 3x-2
…………..
If you have piano lessons every 7 days and tuba lessons s every 3 days, how many days before you have them together
21 days before I had both the lessons together.
For the occurrence of two events at the same time we will find the least common multiple.
If I have piano lessons on every 7th day and tuba lessons on every 3rd 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 = 3 × 7
= 21
Therefore, 21 days before I had both the lessons together.
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Find the distance between B (3,−4) and C (5,−5). Round to the nearest tenth, if necessary.
Using the distance formula, the distance between B and C is calculated as: 2.3 units.
How to Find the Distance Between Two Points?The distance formula to apply is: d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the following:
B (3,−4) = (x1, y1)
C (5,−5) = (x2, y2)
Plug in the values into the distance formula
BC = √[(5−3)² + (−5−(−4))²]
BC = √[(2)² + (−1)²]
BC = √(4 + 1)
BC = √5
BC = 2.236068 ≈ 2.3 units.
Therefore, using the distance formula, the distance between B and C is calculated as: 2.3 units.
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Today is Amanda's birthday. She is 6 years old. How old is Amanda in months?
Answer:
72 months
Step-by-step explanation:
6 x 12 = 72
Sarah bought a drink for $4 and bought 8 candy bars. She spent a total of 44 dollars. How much did each candy bar cost?
Answer: $5 for each candy bar.
Step-by-step explanation: Sarah bought a drink for $4 so, $44-$4=$40(leftover), now she bought 8 candy bars for $40:8=$5 (each candy bar cost)
I have looked from answer sheet but i still didn’t get it…
Answer:
Xyz E number
Step-by-step explanation:
I think Xyz is right
Answer:
A. AB = xyzx
Step-by-step explanation:
You want AB when A = BC, B = x, and C = yz.
SubstitutionYou can evaluate the unknown expression by making substitutions until you can't anymore.
AB = (BC)(B) . . . . . . . . substitute BC for A
AB = ((x)(yz))(x) . . . . . . substitute x for B (2 places), yz for C
AB = xyzx . . . . . . . . . . remove the unnecessary parentheses
what is the answer for this it’s pre algebra pls answer quickly it’s due in 10 mins
The answer is k⁴n⁶/3 after solving the expression.
Given, the expression is kn/3k⁻³n⁻⁵
now we must simplify the expression with the help of the negative exponent rule.
A base that is on the fraction line's denominator side can be indicated by a negative exponent. In other words, according to the negative exponent rule, a number with a negative exponent should be added to the numerator and vice versa.
that is, a⁻ⁿ = 1/aⁿ
therefore, kn/3k⁻³n⁻⁵ = knk³n⁵/3
Multiply the monomials.
Monomials should be multiplied by adding the exponents to the coefficients before moving on to the variables. You can sum the exponents of monomials while multiplying them by the same base. The Product of Powers Property is used to describe this.
k⁴n⁶/3
Hence we get the answer after simplification as k⁴n⁶/3
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imagine the biology department needs to decide which lab curriculum yields better student outcomes. five sections are assigned to curriculum a, and five sections are assigned to curriculum b. all sections are administered a pre- and post-test that measures students’ attitudes toward science and knowledge of biology. the department wants to see if students’ gains are greater in one curriculum or the other. what statistical test should be done to determine if there is a significant difference? explain why you chose this test.
The statistical test that should be done to determine if there is a significant difference is the independent t-test.
What're is an independent t-test?
It should be noted the independent t-test or students t-test for two samples should be used.
The Independent Samples T-Test compares the means of two independent groups to determine whether there is statistical evidence that the associated population means are significantly different.
In this case, the biology department needs to decide which lab curriculum yields better student outcomes, the.t text can be applicable.
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Brosss pleaseee help me
Answer:
Below.
Step-by-step explanation:
a. True - it states that 4 is an element of Set P.
b False - 5 is an element of set Q .
5 ∈ Q.
c. P ∩ Q = Ф True - This says that there are no common elements in P and Q which is true. Ф is the 'empty set'.
d. True: n(P) = 4 means there are 4 elements in P.
e. True: there are 4 elements in P and in S.
S can be written as {3, 4, 5, 6} - that is the integers which are greater than 2 and less than or equal to 6. The Z means the set of integers.
Rashon needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged him $141 for parts. The total was $332.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Answer:
Step-by-step explanation:
The cost of labor per hour is $45.
The total cost of the parts is $141.The total time for which the technician worked is 4.25 hours.The total cost of repair is $332.25.Let the cost of labor per hour be "x".The total cost of labor is the product of the total time for which the technician worked and the cost of labor per hour.The cost of labor is 4.25*x.The total cost of repairing the computer is the sum of the cost of the parts and the cost of labor.The total cost of repairing the computer is $141 + 4.25*x.The equation is as follows:332.25 = 141 + 4.25*x191.25 = 4.25xx = 191.25/4.25x = 45Thus, the cost of labor per hour is $45.To learn more about equation, visit :
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Need help asap my test is done in 5 minutes
Hello,
[tex] \frac{8 {}^{5} }{8 {}^{ - 9} } = 8 {}^{5 - ( - 9)} = 8 {}^{5 + 9} = 8 {}^{14} [/tex]
What is the equation of a line that is parallel to y = 6x + 7 and passes through (0, 9)? Enter your equation in the box.
Answer:
y = 6x + 9
Step-by-step explanation:
parallel lines have equal gradients.
y - y1 = m(x -x1)
since the lines are parallel your m = 6.
y - y1 = 6(x - x1)
(x1 ; y1) is given (0 ; 9)
y - 9 = 6 (x -0)
y = 6x + 9
how do you solve the equation 3(9/4 + 1/4y)-5y=11
Step-by-step explanation:
Hope that helps!!
HELP I WILL GIVE BRAINLIEST!!!! M14. Select all the situations that could be represented by the expression 40. (-18).
A hot air balloon descends 18 inches per a second for 40 seconds.
A hot air balloon ascends 40 inches per a second for 18 seconds.
Trey withdraws $18 from his checking account once a week for 40 weeks.
Suzanne deposits $18 into her savings account once a week for 40 weeks.
Morty withdraws $40 from his checking account once a month for 18 months.
The statements that could be represents the expression 40×(-18) is
A hot air balloon descends 18 inches per a second for 40 secondsTrey withdraws $18 from his checking account once a week for 40 weeks.Morty withdraws $40 from his checking account once a month for 18 months.The expression= 40×(-18)
A hot air balloon descends 18 inches per a second for 40 seconds=40×(-18)
A hot air balloon ascends 40 inches per a second for 18 seconds=40×18
Trey withdraws $18 from his checking account once a week for 40 weeks=40×(-18)
Suzanne deposits $18 into her savings account once a week for 40 weeks=40×18
Morty withdraws $40 from his checking account once a month for 18 months=40×(-18)
Hence, The statements that could be represents the expression 40×(-18) is
A hot air balloon descends 18 inches per a second for 40 secondsTrey withdraws $18 from his checking account once a week for 40 weeks.Morty withdraws $40 from his checking account once a month for 18 months.Learn more about expression here
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A sample in a 1-cm cuvette is assessed with a spectrophotometer set to 620 nm. If the sample returns a transmittance of 62%, then what is the approximate absorbance of the sample?.
The absorbance of the given sample is 0.2076.
Length of the cuvette = 1 cm
Wavelength of the spectrophotometer = 620nm
Transmittance of the sample = 62%
We know, absorbance is related to transmittance by the formula written below;
A = log(1/T) equation 1
Also, percent transmittance %T = 100T
or we can write, T = (%T) / 100
On substituting value of T in equation 1 , we get
A = log(100/(%T))
⇒ A = log(100) - log (%T)
⇒ A = log([tex]10^{2}[/tex]) - log(%T)
⇒ A= 2log(10) - log(%T)
We know, log10 = 1. On substituting the value of log 10 in above equation, we get
A = 2 - log(%T)
⇒ A = 2 - log(62)
⇒ A = 2 - 1.7924
⇒ A = 0.2076
The absorbance of the given sample is 0.2076.
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Please help due today
Graph the function h(x)=-3/x by completing the table of values and plotting points.How does the graph compare to its parent function, f(x)=1/x? Describe any change for each of the following
Using translation concepts, the graph of h(x) = -3/x is given at the end of the answer. Compared to the parent function, it was vertically stretched by a factor of 3 and reflected over the x-axis.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent and translated functions are given, respectively, by:
f(x) = 1/x.h(x) = -3/x.The translations are described as follows:
Multiplication by a negative number, hence it was reflected over the x-axis.Multiplication by a number with absolute value of 3, hence the function was vertically stretched by a factor of 3.The graph of h(x) is given at the end of the answer, containing points such as:
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41. The Boca Grande Causeway in Florida is about
14 times as long as the Golden Gate Bridge
in San Francisco. The Golden Gate Bridge is
about 9,000 feet long. About how long is the
Boca Grande Causeway?
The length of the Boca Grand Causeway is 126,000 feet
What is the length of the Boca Grand Causeway?
Multiplication is the continual addition of two or more numbers of equal sizes. The value gotten after multiplication is the product. Multiplication is one of the basic mathematical operations. The sign used to denote multiplication is x. Other basic mathematical operations include addition, subtraction and division.
Length of the Boca Grand Causeway = length of the golden gate bridge x 14
9,000 x 14 = 126,000 feet
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-8 You burn 6 grams of carbon in plenty of air: C(s) + O₂(g) →→→ CO₂ (g) a What volume of gas will form (in dm³ at rtp)? b What volume of oxygen will be used up?
a) Gas has a volume of 12 liters.
b) 12 liters of oxygen gas will be consumed during the reaction.
Step-by-step explanation:
Moles of Substances:
We measure the quantity of atoms and molecules in moles, which is equal to 6.022 ×10²³, Avogadro's number, because they are too small to be counted or weighed individually. A substance's atomic mass is multiplied by Avogadro's number to get its mass in grams.
Here, Half a mole of carbon is equal to six grams of carbon. since 12 grams make up one mole of carbon. Since carbon dioxide has the chemical formula CO2, when a mole of carbon is fully combusted, it will result in the production of a mole of carbon dioxide gas.
a) Half a mole of gas has a volume of 12 liters because one mole of gas at RTP consumes 24 liters.
b) Due to the fact that each oxygen molecule contains two oxygen atoms and each carbon dioxide molecule contains two oxygen atoms, 12 liters of oxygen gas will be consumed during the reaction.
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Which venn diagram represents x
Answer:
Step-by-step explanation:
A
Devante will buy 3 packs of gum and four candy bars.gum is 21 cents a pack and candy bars are 45 cents each.how much will devante spend in dollars and cents?
Devante spent 2 dollars 43 cents
In this question,
A gum is 21 cents a pack and candy bars are 45 cents each.
Devante buy 3 packs of gum.
So for 3 packs of gum total amount would be,
3 × 21 = 63 cents
Devante buy 4 candy bars.
So for the four candy bars the total amount would be,
4 × 45 = 180 cents
Total purchase would be,
63 cents of packs of gum + 180 cents of candy bas
= 243 cents
We know that 1 dollar = 100 cents
S0, 243 cents = 2.43 dollars
Therefore, Devante spent 2 dollars 43 cents
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