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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Two friends are eating from a bag of 32 skittles sarah eats 1/2 of the 32 skittle and jami eats 1/4 of the skittles how many of the skittles does each girl eat ? Who eats more? How many skittles do they eat together?
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $11,000.00, how much was the car worth when she bought it?
A.
$12,100.00
B.
$12,222.22
C.
$12,941.18
D.
$11,578.95
Answer:
B
Step-by-step explanation:
○ k=1
○ k=-1
Question 15
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4?
The graph shifts 4 units up.
The graph shifts 4 units down.
The graph shifts 4 units left.
The graph shifts 4 units right.
Answer:
Question 6(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x) + 20?
The graph of y = f(x) will shift left 20 units.
The graph of y = f(x) will shift down 20 units.
The graph of y = f(x) will shift up 20 units.
The graph of y = f(x) will shift right 20 units.
What is -3/2 + 5/4 - 7/4?
Answer:
Step-by-step explanation:
Find all rational polynomials p(x) = x3 + ax2 + bx + c such that a, b, c are
roots of the equation p(x)=0
Answer:
p(x) = x³ +0x² +0x +0p(x) = x³ +x² -x -1p(x) = x³ -x² -2xStep-by-step explanation:
If the roots of p(x) are a, b, c, then it factors as ...
p(x) = (x -a)(x -b)(x -c)
and the expanded form is ...
p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc
The requirement that the coefficients match the roots means we have three equations in three unknowns:
a = -(a+b+c)
b = ac +b(a+c)
c = -abc
The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...
b = xc = ya = -(x+y)/2This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:
x(1 -a -y) -ay = 0 ⇒ (x +1)^2 +y^2 = 1
The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...
(x, y) = (-2, 0), (-1, -1), (0, 0) ⇒ (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)
The three polynomials that correspond to these values are shown above and in the attachment.
_____
Additional comment
There is an irrational fourth solution to the requirement that the roots match the coefficients.
if k people are seated in a random manner in a row containing n seats (n > k), what is the probability that the people will occupy k adjacent seats in the row?
The probability that k people will occupy k adjacent seats in a row with n seats (n > k) is (n-k+1) / (n choose k).
To find the probability that k people will occupy k adjacent seats in a row containing n seats, we can use the formula:
P = (n-k+1) / (n choose k)
Here, (n choose k) represents the number of ways to choose k seats out of n total seats. The numerator (n-k+1) represents the number of ways to choose k adjacent seats out of the n total seats.
For example, if there are 10 seats and 3 people, the probability of them sitting in 3 adjacent seats would be:
P = (10-3+1) / (10 choose 3)
P = 8 / 120
P = 0.067 or 6.7%
So the probability of k people occupying k adjacent seats in a row containing n seats is given by the formula (n-k+1) / (n choose k).
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what are the roots of the equation x^2 +30x =1000?
Answer:
x=20 and x=-50
Step-by-step explanation:
To find the roots, we need to simply solve for x. We do this by first moving all of the terms to the left and setting the right side equal to 0.
-1000
x^2+30x-1000=0
Now, factor it.
What adds up to 30 but multiplies to get -1000?
-10 and 40? No, because they multiply to get -400.
-20 and 50? Yes, because they add up to 30 and multiply to get -1000.
(x-20)(x+50)
x-20=0
x=20
x+50=0
x=-50
So, the roots are x=20 and x=-50
Given :-
x² + 30x = 1000 .To Find :-
The roots of the equation .Solution :-
As we know that if the quadratic equation is in standard form which is ,
\( ax^2+bx + c =0\)
Then its roots are given by ,
\( x =\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
So on converting the equation in standard form ,
\( x^2+30x -1000=0\)
With respect to the standard form ,
a = 1b = 30c = -1000Substitute in the Quadratic formula ,
\( x =\dfrac{-30\pm \sqrt{(30)^2-4(1)(-1000)}}{2(1)}\)
Simplify,
\( x =\dfrac{-30\pm\sqrt{900+4000}}{2}\)
Add the numbers inside square root ,
\( x =\dfrac{-30\pm\sqrt{4900}}{2}\)
Divide each term in numerator by 2,
\( x =\dfrac{-30}{2}\pm\dfrac{\sqrt{70^2}}{2}\)
Simplify ,
\( x = -15 \pm 35 \)
Separate the two solutions ,
\( x = -15 + 35 , -15 -35\)
Simplify ,
\(x = 20 , -50 \)
Hence the solution of the equation are 20 and -50 .
I hope this helps.
How can the statement be rewritten as a conditional statement in if-then form? Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes. If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular. If lines are on a coordinate plane, then they are perpendicular. If lines are on a coordinate plane, then they have opposite reciprocal slopes. If lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.
Answer:
The first option. "If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular."
Step-by-step explanation:
It is the only one that makes sense, tbh. But, it includes the proper "if-then" form like the question requests it have. It also incorporates all aspects of the original statement-
a.) lines on a coordinate plane
b.) perpendicular
c.) opposite reciprocal slopes.
You're welcome. :D
Answer:
Its A
Step-by-step explanation:
edge 2021
The face of a clock is divided into 12 equal parts. The radius of the clock face is 6 inches. Assume the hands of the clock will form a central angle.
The face of a clock is divided into 12 equal parts.
Which statements about the clock are accurate? Check all that apply.
The central angle measure when one hand points at 2 and the other points at 4 is 60°.
The circumference of the clock is about 19 in.
With one hand at 5 and the other at 10, the minor arc formed by the hands is about 15.7 in.
The minor arc measure when one hand points at 1 and the other hand points at 9 is 150°.
The length of the minor arc between 11 and 2 is the same as the length of the minor arc between 7 and 10.
Answer:
a , c , e
Step-by-step explanation:
just took it ;)
The statements about the clock are accurate are;
The central angle measure when one hand points at 2 and the other points at 4 is 60°.With one hand at 5 and the other at 10, the minor arc formed by the hands is about 15.7 in.The length of the minor arc between 11 and 2 is the same as the length of the minor arc between 7 and 10.Why are the statement above correct?1. Note that the face of a clock is divided into 12 equal parts and the Angle of each part is= 30°
If one hand points at 2 and the other points at 4, then it is divided into two parts that is 2 to 3 and 3 to 4.
The angle that will be formed then will be = 2 (30) = 60°
So therefore option one is correct
111. When a person place one hand at 5 and the other hand at 10, then it is divided into 5 parts.
The angle that is formed= 30(5) = 150°.
Therefore, the arc length =(37.68) = 15.7.
So therefore, Option three is correct.
V. When the length of the minor arc ranges from 11 to 2, then this is divided is 3 parts.
So therefore, 3(30) = 90°
The minor arc is said to ranges from 7 to 10 and it is represented by 3(30) = 90°
So therefore option five is correct.
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points a and b lie within a region of space where there is a uniform electric field that has no x - or z -component; only the y -component ey is nonzero. point a is at y
To further elaborate, let's break it down into three paragraphs. In the first paragraph, we can establish that points a and b are situated in a specific region of space. This region has a uniform electric field that is characterized by its direction and strength. Since there is no mention of the magnitude of the electric field, we can assume that it is constant throughout the region. This means that the electric field does not vary in strength from point to point, but remains the same across the entire region.
In the second paragraph, we can focus on the components of the electric field. Here, we learn that the electric field has no x or z-component, which means that it is purely directed along the y-axis. This also means that the electric field lines are parallel to the y-axis and are evenly spaced throughout the region. We can visualize the electric field as a series of equally spaced, parallel lines that extend indefinitely along the y-axis.
In the third and final paragraph, we can summarize the main points of the answer. We know that points a and b are in a region of space with a uniform electric field that has no x or z-component, but only a y-component. This means that the electric field is directed purely along the y-axis and is constant throughout the region.
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A blouse originally $29..99 is 15% off. Marlene has a coupon for an additional
20% percent off. What is the new price of the blouse before tax?
Answer:
20.39
Step-by-step explanation:
15% of 29.99 is 4.4985
so
29.99-4.5
=
25.49
subtract the 20%
20% of 25.49
=
5.1
lastly,
25.49-5.1
=
20.39
What is the magnitude of ?
V
(9,-4)
Answer:
The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.
Step-by-step explanation:
hope it help
Answer:
9.85
Step-by-step explanation:
|v|= √9²+(-4)²
=√81+16
=√97
|v|= 9.85
. The bill at a restaurant is $43.89. How much should he leave for a 20% tip?
Answer:
8.778 or 8.8
Step-by-step explanation:
20% of 43.89 is 8.778
math: 43.89*(20/100) = 8.778
11 1/8 less than the product of 8 and the number z
The statement in algebraic terms is given by 8z-89/8
What is an Algebraic Expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.
Given here: The statement " 11¹/₈less than the product of 8 and the number z"
The translation of the statement in the form of an algebraic expression is given by
8z - 11¹/₈
8z-89/8
Hence, The statement in algebraic terms is given by 8z-89/8
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Please help giving up 20 points for answers
Answer:
Question 2: 6x-21
Question 1: -9x+3
Step-by-step explanation:
Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
Answer:
150ft^2
Step-by-step explanation:
FINDING THE LENGTHS
50 = x + 5 + x + x + 5 + x
50 = 4x + 10
50 - 10 = 4x
40 = 4x
40/4 = x
10ft = x
AMOUNT OF FLOORING
area = l x b
= (10 + 5) x 10
= 15 x 10
= 150ft^2
Which shape below has both reflection and rotation symmetry
Answer:
option 4
Step-by-step explanation:
its 4 my dude .......
Students are asked to rank their professors as good, average, or poor. which level of measurement is this classification?
The level of measurement that is appropriate for a classification where students are asked to rank their professors as good, average, or poor is the ordinal level of measurement.
Ordinal level of measurement is a statistical measurement level.
It involves dividing data into ordered categories.
For instance, when asked to rank teachers as good, average, or poor, the students' rating of the teachers falls under the ordinal level of measurement.
The fundamental characteristic of ordinal data is that it can be sorted in an increasing or decreasing order.
The numerical values of the categories are not comparable; instead, the categories are arranged in a specific order.
The ordinal level of measurement, for example, provides the order of the data but not the size of the intervals between the ordered values or categories.
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Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Arnie buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain.
Answer:
No conozco esta respuesta. Esta en el libro
Step-by-step explanation:
the binominal distribution: a. is symmetric irrespective of the value of the probability of success. b. models n independent replications of a bernoulli experiment, each with a probability p of success. c. assumes that the average number of occurrences per unit is a constant and that occurrences are independent. d. is a discrete distribution used to model the number of occurrences in some unit of measure
The correct option is B "Models n independent replications of a Bernoulli experiment each with a probability p of success".
What is binomial distribution?It is a frequency distribution of the number of successful outcomes that could occur in a set number of trials with an equal chance of success. In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p. When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.
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fill the blank! in addition to premises, warrants, and conclusions, two additional elements of rhetorical argument are .____
In addition to premises, warrants, and conclusions, two additional elements of rhetorical argument are evidence and counterarguments.
The two additional elements of rhetorical argument are evidence and counterarguments.
Evidence refers to the supporting material or proof that is presented to back up the premises and warrants in an argument. This can include statistics, facts, expert testimony, or personal experiences.
Counterarguments are the opposing viewpoints or objections that may arise in response to the argument. By addressing and refuting potential counterarguments, the speaker or writer strengthens their own argument and shows that they have considered multiple perspectives on the issue at hand.
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I NEED THE ANSWER FOR JUST NUMBER 5 PLEASE
Answer:
126
Step-by-step explanation:
∠S : ∠T = 7:3
∠S = 7x
∠T = 3x
∠S + ∠T = 180 {Supplementary angles}
7x + 3x = 180
10x = 180
Divide both sides by 10
x = 180/10
x = 18
∠S = 7x = 7*18 = 126°
pleasee nn tyyy yall i rlly need help
You need to find the GCF (greatest common factor) of 96 and 36. The GCF of 96 and 36 is 12.
12 times what gets you 36?
12 times 3 gets you 36.
12 times what gets you 96?
12 times 8 gets you 96.
So the third answer has 12 as the GCF.
The answer is 12(8+3) = 96+36 = 132
♡ Hope this helped! ♡
❀ 0ranges ❀
2. which of these best describes a residual? a) it must be a number between 0 and 1 b) it must be positive c) it must be negative d) it must have both positive and negative values e) it represents a distance between observed and predicted values
it represents a distance between observed and predicted values
What is residual?
A residual in statistics is the discrepancy between an observed value and a value that was predicted.
Typically, the anticipated value is based on a model, like a linear regression model. The prediction error is represented by a residual, which can be either positive or negative. A positive residual indicates a difference between the observed and expected values, whereas a negative residual indicates the opposite. Specifically, the residual's absolute value is the distance between the observed value and the predicted value.
For evaluating a model's correctness, residuals are crucial. The residuals should be randomly distributed in the vicinity of zero if the model is valid. The residuals will be biased either in favor of or against the null hypothesis if the model is not accurate. A model's goodness of fit can also be evaluated using the residual. Relatively small residuals characterize a model with a high goodness of fit. Remainders that are far from zero will be present in a model with a low goodness of fit.
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4. What is the value of a in the following equation: 6a = 54?
b. 7
C. 12
d. 8
a. 9
Answer:
9
Step-by-step explanation:
6a=54
a=54/6
a=9
I wil Mark BRANLIEST!! HELP!!!! Consider the graphs of linear function f(x) = 3x, quadratic function g(x) = 3x2, and exponential function h(x) = 2x. Which statement about the functions f, g, and h is correct?
A. As x increases, the value of f(x) will eventually exceed the values of g(x) and h(x).
B. As x increases, the value of g(x) will eventually exceed the values of f(x) and h(x).
C. As x increases, the value of h(x) will eventually exceed the values of f(x) and g(x).
D. As x increases, the values of both f(x) and g(x) will eventually exceed the value of h(x).
Here the Graph: https://www.savvasrealize.com/community/proxy/assessment/68bd51a0599744be92849bd2e08be180/images/bdbcc6b2-8670-4ddc-95a2-a48b6d6da348
Answer:
Option C.
Step-by-step explanation:
We know that, for a value a > 1.
if b > c, then:
a^b > a^c
Now, this means that if we have two functions:
f(x) = x^n
g(x) = x^m
and m > n
then for large values of x, g(x) will be larger than f(x), because g(x) has a larger exponent.
now, is also true that:
f(x) = x^n
g(x) = n^x
for n > 1
For large values of x, g(x) will be larger than f(x), again, because for larger values of x g(x) will have a really large exponent, thus it grows really fast.
Then we can conclude that for the functions:
f(x) = 3*x
g(x) = 3*x^2
h(x) = 2^x
For a given value of x, h(x) will exceed the other two functions.
This can be seen in the graph below, where:
h(x) is purple, g(x) is blue, and f(x) is green.
We can see that eventually, h(x) exceeds the other two.
The correct option is C.
What is wrong with the following piece of mRNA? TACCAGGATCACTTTGCCA Multiple Choice It contains A. O It does not include an equal number of As and Ts. It does not include an equal number of Gs and Cs. It contains T and not U.
The wrong with following piece of mRNA, TACCAGGATCACTTTGCCA is that it contains T and not U. So, option(D) is right choice here.
Messenger RNA (mRNA) is present in DNA. DNA uses four bases in its code, adenine (A), guanine (G), cytosine (C) and thymine (T). RNA also uses four bases. However, instead of using "T" as DNA, it uses uracil (U). So, if your DNA sequence is 3' T C G T T C A G T 5', the mRNA sequence would be 5' A G C A A G U C A 3'. A strand of DNA is a template strand that has a nucleotide sequence on it that is read by RNA polymerases. Rna polymerase reads the template strand and encodes the m-RNA using the base-pairing rule. According to the rule, adenine pairs with thymine and guanosine with cytosine. So if the template DNA reads TAC GTT ACG, RNA polymerase will read it as AUG CAA UGC. Since no thymine is present in RNA, it will code for U instead of T.
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b. What's the probability a customer who ordered pancakes came to the diner late?
c. Are breakfast choice and meal time independent? Explain.
Answer:
b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%
c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.
Step-by-step explanation:
HELP ME PLS PLS PLS The maximum number of oranges in a box of volume one cubic foot can be modeled by the inequality |x − 17| ≤ 5, depending on the size of the oranges. Solve the inequality to find the greatest and least numbers of oranges that could be in a box. Complete the explanation of how you found your answer.
The box can contain a minimum of ___ oranges and a maximum of ____ oranges. The inequality needs to be split into ____ and ____ before solving. The solutions to each of these inequalities can be combined to make ___ ≤ x ≤ ___
Answer:
The first two blanks are 12 and 22 and the last two blanks are 12 and 22
Step-by-step explanation:
Someone help me with this question please I am confused
Answer:
x = 4, BC = 17
Step-by-step explanation:
AC = AB + BC , substitute values
7x - 3 = 2x + 3x + 5
7x - 3 = 5x + 5 ( subtract 5x from both sides )
2x - 3 = 5 ( add 3 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Then
BC = 3x + 5 = 3(4) + 5 = 12 + 5 = 17