160 square inches duct tape is needed to cover.
The mentioned box is rectangular according to the question and Kiara have to cover top and the bottom part with this duct tape .
Thus we have to find the area of the box , where 4 inch is the width of this box and 20 in. is the length . To find the area we will use the formula , (Area = length × width)
∵ The area is , ( 4 × 20 ) square inches = 80 square inches
for the top part it is 80 inc² and for the bottom it's again 80 inch² , so she have to cover total ( 80+ 80) inc² = 160 in.²
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160 square inches duct tape is needed to cover.
The mentioned box is rectangular according to the question and Kiara have to cover top and the bottom part with this duct tape .
Thus we have to find the area of the box , where 4 inch is the width of this box and 20 in. is the length . To find the area we will use the formula , (Area = length × width)
∵ The area is , ( 4 × 20 ) square inches = 80 square inches
for the top part it is 80 inc² and for the bottom it's again 80 inch² , so she have to cover total ( 80+ 80) inc² = 160 in.²
160 square inches duct tape is needed to cover.
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a researcher finds a 94% confidence interval for the average commute time in minutes using public transit is (17.86, 27.45). what is the correct interpretation of this interval?
The correct interpretation of this result is that the researcher is 94% certain that the average amount of time spent by commuters who use the public transit system is between 17.86 to 27.45 minutes.
What is the confidence interval?The confidence interval is the average estimate, plus and minus the values obtained from the research. The two values obtained from the research represent the expected range within which the values can fall between.
In the question above, the range is between 17.86 to 27.45 minutes. The research is sure that the average about of time spent by commuters must fall within these values. The degree of certainty is 94%.
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a propositional formula of signature ???? is defined recursively as follows: - every atom is a formula - both 0-place connectives are formulas - if f is a formula then ¬f is a formula - for any binary connective ⨀, if f and g are formulas then (f⊙g) is a formula how many of the following strings are propositional formulas under the signature ????
The following strings are propositional formulas under the signature:
(i)both 0-place connectives are formulas
(ii)for any binary connective ⨀, if f and g are formulas then (f⊙g) is a formula.
What is propositional formula?A propositional formula is a particular kind of syntactic formula that is well-formed and has a truth value in propositional logic. A propositional formula yields a distinct truth value when all of the variables' values are known. A propositional formula may alternatively be referred to as a phrase, a propositional expression, or a sentential formula.
Simple statements like "five is greater than three" or propositional variables like p and q are combined to build a propositional formula using connectives or logical operators like NOT, AND, OR, or IMPLIES.
The term "proposition" is frequently used in mathematics to refer to a propositional formula, but in reality, a propositional formula is a formal expression that signifies a proposition.
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how to solve this problem
Step-by-step explanation:
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joyce paid $120 for an item at the store that was 30 percent of the original price. what was the original price?
The Original price of the item was $400.
Percentage can be defined as a number that denotes hundredth part of any quantity.
For Example , 50%of 30 =[tex]\frac{50}{100} *30=\frac{1500}{100} =15[/tex].
In the given question
Amount paid by Joyce = $120
Let the original price =x
Percent of original price = 30%
According to the given Question
30% of x =120
[tex]\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400[/tex]
Therefore , the Original price of the item was $400.
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pls wawawa 20000+8000+40+502+79805
Answer:
108347 (srry for not seeing bestay)
Step-by-step explanation:
find the value of x if pq is equal to rs, pq= 9x-7, and rs=29
Based on the information given, the value of x is 4
What is a line segment?A line segment can be defined as the part of a straight line bounded by two distinct end points, and also contains every point on the line that is between its endpoints.
From the information given, we have PQ and RS are on the the same line with points Q and R as the line segments
We have that;
PQ = 9x - 7RS = 299x - 7 = 29
collect like terms
9x = 29 + 7
9x = 36
Make 'x' the subject
x = 36/ 9
x = 4
Thus, the value of x is 4
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The length of a rectangle is 4 times its width. If the
perimeter of the rectangle is 90 feet, write an
equation in terms of w, the width of the rectangle.
Answer:
use air math they help and show you how to show your work it was a game changer for me
Step-by-step explanation:
Use with problems 11 and 12. Round to the nearest hundredth place.
C-3,1)
D(0, -6)
Answer:
Step-by-step explanation:
Not sure..
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.
How do we use reasoning to determine a conclusion?In the question, it is stated that if Elan stays up late, he will be tired the next day.
However, staying up late is not the only thing that could make Elan get tired.
This implies that there are so many other things than can make Elan get tired such as working for long hours.
It is possible that Elan was tired because Elans worked long hours.
By implication, the conclusion is invalid.
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What is the inverse of the function f(x)=1/9x+2
The correct answer is 9x-18.
The ability to reverse other functions makes a function an inverse function. It is somewhat similar to undoing another function, which returns you to your starting point. Driving from home to the shop is a function, and driving from the shop back to home is a function.
The inverse of a trigonometric function, the inverse of a rational function, the inverse of a hyperbolic function, and the inverse of a log function are just a few examples of the various types of inverse functions.
Substituting f(x) with y
f(x)=1/9x+2
y=1/9x+2
x=1/9y+2
x-2=1/9y
y=9x-18
Thus inverse is f^-1(x)=9x-18
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which of the expressions are equivalent to the one blown? check all that apply (4•1)-6
The expressions that are equivalent to the given expression are 4 - 6 and -6 + 4
How to determine the expressions that are equivalent to the given expression?The expression is given as:
(4 * 1) - 6
Evaluate the product of 4 and 1
So, we have:
(4 * 1) - 6 = 4 - 6
By the subtractive property of and equation, we have:
(4 * 1) - 6 = -6 + 4
Hence, the expressions that are equivalent to the given expression are 4 - 6 and -6 + 4
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Write inequalities to describe the region between the yz-plane and the vertical plane x = 9.
the region of space between the parallel planes x = 0
and x = 5
0 < x < 5
What is vertical plane?A direction or plane traveling past a specific place is considered to be vertical in astronomy, geography, and other relevant fields and settings if it contains the local gravity direction at that location. On the other hand, if a direction or plane is perpendicular to the vertical direction, it is said to be horizontal. The y-axis in the Cartesian coordinate system is an example of something that can generally be drawn from up to down (or down to up). The word vertical is derived from the late Latin verticalis, which is from the same root as vertex and means "highest point" or more literally the "turning point" such as in a whirlpool.
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the scalar product between two vectors involves which function of the angle between the lines of action of the two vectors
The scalar product between two vectors involves the cosine function of the angle between the lines of action of the two vectors.
What is the scalar product?The dot product, also known as the scalar product, is an algebraic operation that takes two sequences of numbers of equal length (often coordinate vectors) and outputs a single number. The dot product of two vectors' Cartesian coordinates is frequently used in Euclidean geometry. Although other inner products can be defined in Euclidean space, it is frequently referred to as the inner product (or, less frequently, projection product) of Euclidean space (see Inner product space for more). The sum of the products of the matching entries of the two number sequences is the dot product, according to algebra. Geometrically, it is the result of adding the cosine of the angle between the two vectors and the Euclidean magnitudes of the two vectors.
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find a vector equation and parametric equations for the line. (use the parameter t.) the line through the point (5, 2.5, 3.1) and parallel to the vector 4i 3j − k
The line we want is given by the vector equation
L(t) = (4i + 3j - k) t + (5i + 2.5j + 3.1k)
L(t) = (4t + 5) i + (3t + 2.5) j + (-t + 3.1) k
As parametric equations, we write
x(t) = 4t + 5
y(t) = 3t + 2.5
z(t) = -t + 3.1
What number is halfway between 73.7 and 73.71?
Answer:
73.39
Step-by-step explanation:
Answer:
73.705
Step-by-step explanation:
73.700
73.705
73.710
Divide 0.01 by 2 and u would get 0.005
I really need some help
Answer:
a. zy = yz
Step-by-step explanation:
Commutative property of multiplication rule:
(a)(b) = (b)(a)
1: Use divisibility tests to answer the following: Is 112283 divisible by 9 with no remainder?
Answer:
no
Step-by-step explanation:
the divisibility rule of 9 says that if the sum of the numbers of the number you are going to divide by 9 is a multiple of 9 then it is divisible by nine.
1+1+2+2+8+3=17 which is not a multiple of 9.
Therefore it is not divisible by 9.
When Steve woke up, his temperature was 82 F. 2 hours later it was 20 F lower. What was his temperature then?
Answer: that would make it 62 F.
What is 6.33 time as 6
Answer: 37.98 (I assume you mean times)
Step-by-step explanation:
Calculator :)
Drag the tiles to the boxes to form correct pairs.
Match each addition operation to the correct sum
Matching of each addition operation with their correct sum is;
1) -24⁵/₉ + 30⁷/₉ → 6²/₉
2) 45²/₉ + 39³/₉ → 84⁵/₉
3) 28.98 + (-52.22) → -23.24
4) 56.75 + 75.12 → 131.87
How to carry out addition operation?1) We want to add the fractions;
-24⁵/₉ + 30⁷/₉
= -221/9 + 277/9
= ¹/₉(-221 + 277)
= 56/9
= 6²/₉
2) We want to add the fractions;
45²/₉ + 39³/₉
= 407/9 + 354/9
= 761/9
= 84⁵/₉
3) We want to add the decimals;
28.98 + (-52.22)
= 28.98 - 52.22
= -23.24
4) We want to add the decimals;
56.75 + 75.12
= 131.87
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question 29(multiple choice worth 1 points) (01.07 mc) multiply (2.4 ⋅ 1014) ⋅ (4 ⋅ 107). express the answer in scientific notation. 9.6 ⋅ 1021 9.6 ⋅ 1022 96 ⋅ 1021 96 ⋅ 1022
The multiplication of [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]in scientific notation is [tex]9.6 \times {10}^{21} [/tex]
How to find the answer in scientific notation?Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.
given that [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]
Now, find the answer in scientific notation
[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]
combine the all the like terms
[tex](2.4 \times 4)( {10}^{14} \times {10}^{7} )[/tex]
According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.
[tex](9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} [/tex]
Hence,the multiplication of[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex] in scientific notation is [tex]9.6 \times {10}^{21} [/tex]
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Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $17.50
B. $8.20
• C. $63.00
D. $68.40
Nadir and Jennifer Salazar are moving into a new apartment with a
monthly rent of $1,058. They must pay a security deposit of $523 and a
pet deposit of $291. According to their lease, they must also pay the first
and last month's rent up front. What will be the total move-in cost for
the Salazar's new apartment?
Answer:
the answer is becareful
✓ A G.P has 6 terms. If the 3rd 4th term and are 28 and -56 respectively. Find (a) the common ratio (b) the first term (c) the sum of the G.P.
[tex]r = \frac{u_{4}}{u_{3}} = \frac{ - 56}{28} = - 2[/tex]
(b)[tex]u_{n} = u_{1} \times r {}^{n - 1} \\ ie \colon \: u_{4} = u_{1} \times r {}^{4 - 1} \\ \: \: \: - 56 = u_{1} \times ( - 2) {}^{3} \\ u_{1} = \frac{ - 56}{ - 8} = 7[/tex]
(c)[tex]S_{n} = ( \frac{1 - r {}^{n} }{1 - r} ) \: (u_{1}) \\ S_{6}=( \frac{1 - ( - 2) {}^{6} }{1 - ( - 2)} ) \: (7) \\ S_{6}= - 147[/tex]
a. The common ratio is -2.
b. The first term is 7
c. The sum of the GP is -147
What is the common ratio?
(a) To find the common ratio (r), we can use the formula for the nth term of a geometric progression (G.P):
[tex]A_n = A_1 * r^(^n^-^1^)[/tex],
where Aₙ is the nth term, A₁ is the first term, r is the common ratio, and n is the term number.
Given that the 3rd term (A₃) is 28 and the 4th term (A₄) is -56, we can set up two equations using the formula above:
[tex]28 = A_1 * r^(^3^-^1^)[/tex], (Equation 1)
[tex]-56 = A_1 * r^(^4^-^1^)[/tex]. (Equation 2)
Dividing Equation 2 by Equation 1, we get:
[tex]-56/28 = (A_1 * r^(^4^-^1^)^) / (A_1 * r^(^3^-^1^))\\-2 = r.[/tex]
Therefore, the common ratio (r) is -2.
(b) To find the first term (A1), we can substitute the known values into one of the equations. Let's use Equation 1:
[tex]28 = A_1 * (-2)^(^3^-^1^)\\28 = A_1 * (-2)^2\\28 = A_1 * 4\\A_1 = 7[/tex]
Therefore, the first term (A₁) is 7.
(c) To find the sum of the geometric progression, we can use the formula for the sum of the first n terms of a geometric progression:
[tex]S_n = (A_1 * (1 - r^n)) / (1 - r)[/tex],
where Sₙ is the sum of the first n terms.
Given that there are 6 terms (n = 6), A₁ = 7, and r = -2, we can calculate the sum (S₆):
[tex]S_6 = (7 * (1 - (-2)^6)) / (1 - (-2)).[/tex]
Simplifying:
S₆= (7 * (1 - 64)) / (1 + 2),
S₆ = (7 * (-63)) / 3,
S₆ = -147.
Therefore, the sum of the geometric progression is -147.
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Tell me the order these go in
The statements and reasons to find x in a two column proof are as detailed below.
How to carry out two column proofs?
From the given image, we can carry out the two column proof to find the value of x as;
Statement 1; ∠QWT and ∠TWX are complementary
Reason 1; Given
Statement 2; m∠QWT + m∠TWX = 90°
Reason 2; Definition of Complementary angles
Statement 3; 2x + x + 6
Reason 3; Substitution
Statement 4; 3x + 6 = 90°
Reason 4; Addition
Statement 5; 3x = 84
Reason 5; Subtraction
Statement 6; x = 28
Reason 6; Division
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The diameter of circle P has endpoints at (5, -5) and (-7, 11). What is the length of the diameter? Write your answer in decimal form. (Example: if you get 6, write it as 6.0)
Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.
What is the length of the diameter of the circle?The distance formula used to determine the distance between two points is expressed as;
D = √( (x₂ - x₁)² + (y₂ - y₁)² )
Given the data in the question;
Point 1: (5, -5)
x₁ = 5y₁ = -5Point 2: (-7, 11)
x₂ = -7y₂ = 11Plug the given values into the distance formula and simplify.
D = √( (x₂ - x₁)² + (y₂ - y₁)² )
D = √( (-7 - 5)² + (11 - (-5))² )
D = √( (-12)² + (11 + 5)² )
D = √( (-12)² + (16)² )
D = √( 144 + 256 )
D = √( 400 )
D = 20.0
Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.
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11. The relationship between adult dog weight x in pounds and the daily
recommended amount of dog food y in cups is proportional.
Dog weight (lb)
Dog food (cups)
10
116
40
W|N
2
3
50
556
100
13
Write an equation for the relationship. How much dog food is
recommended for a 25-pound adult dog?
5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.
We are given that:
The relationship between x and y
We need to find the dog food for the 25-pound adult dog
The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.
x = k y
k = x / y
k = 10 / 1/6
k = 10 (6)
k = 60
Let the dog food recommended for the 25-pound adult dog be y.
Weight of the dog = x = 25 pounds
Cups of dog food recommended = y
k = 60
Using the equation for the given relationship:
25 = 60 × y
y = 25 / 60
y = 5 / 12
Therefore, 5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.
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If K is the midpoint of JL, JK = 8x +11 and KL = 14x - 1, find JL
PLEASE HELP!!! 20 points!!!
In the diagram below, M is the midpoint of KL.
Solve for the value of x.
Solve the equation.
- 2(2x - 4) = 4x
(Simplify your answer.)
Answer:
x=1
Step-by-step explanation:
-2(2x-4)=4x
Distributive property.
-4x+8=4x
+4x +4x
8x=8
/8 /8
x=1
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