Answer:
Shapes I and II are
neither congruent nor similar
.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
neither congruent nor similar
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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Help i need an answer.
Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
Number 17 and 18 pls ASAP thanks
Enter the solution to the problem x/2 = 4.5
Answer: 9
Step-by-step explanation:
do the opposite 2·4.5=9
x=9
check your work
9/2 or 9÷2=4.5
Answer:
x4
Step-by-step explanation:
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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A gene is composed of two alleles. An allele can be either dominant or recessive. suppose that a husband and a wife who are both carriers of the sickle-cell anemia allele but do not have the disease, decide to have a child. because both parents are carriers of the disease, each one has a dominant normal cell allele (S), and one recessive sickle-cell allele (s). Therefore the genotype of each parent is Ss. Each parent contributes one allele to his or her offspring with each allele being equally likely.
a.List the possible genotypes of their offspring.
b. what is the probability that the offspring will have sickle cell- genotype ss?
c. what is the probability that the offspring will not have sickle cell but still be a carrier (one normal cell allele and one sickle cell allele)
Answer:
a) SS, Ss, ss
b) 1/4
c) 1/2
Step-by-step explanation:
According to this question, a gene coding for possession or not of sickle cell has two alleles. Allele "S" codes for normal cell while allele "s" codes for sickle cell. A heterozygous individual or carrier will have a "Ss" genotype.
If two carriers of the sickle cell condition decide to have a child and mate i.e. Ss × Ss, the following gametes will be produced by each parent: S and s.
a) Using these gametes (S, s) in a punnet square (see attached image), the four possible offsprings with the following genotypes will be produced: SS, Ss and ss in a GENOTYPIC RATIO 1:2:1.
b) Since offsprings with the genotype "ss" will possess the sickle cell condition/phenotype, the probability of offsprings that will have sickle cell is 1/4 i.e. 1 out of 4 possible offsprings
c) Also,carrier genotype will be "Ss", therefore, the probability that the offspring will not have sickle cell but still be a carrier (one normal cell allele and one sickle cell allele) will be 2/4 or 1/2 i.e. 1 out of 2 possible offsprings.
The coordinates of the vertices of a polygon are shown on the graph below.
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answer:
Triangle
Step-by-step explanation:
It has three side unlike the others can't have three sides
What's the translation notation from JKL to J'K'L?
Answer:
1 up 2 right or y+1 and x+2
Step-by-step explanation:
A quiz consists of 770 true or false questions. If the student guesses on each question, what is the mean number of correct answers?
The mean number of correct answers will be equal to 385.
What is mean?
The mean is defined as the ratio of the sum of the all the numbers given by the total count of the numbers.
The total questions are 770 and consist of the true and false.
The mean of the numbers will be given as:-
Mean = 770 / 2 = 385
Therefore mean the number of correct answers will be equal to 385.
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Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
You may want to create a table to help you with this problem.A rare birth defect occurs in approximately 0.5% of all cases in males. If we sample all themales born in 2016 in a specific region (200,000), fill out your table and answer the followingquestions. A test can be done with 96% accuracy to determine if a child has the birth defect.Out of all people, what are the chances that males get a positive test result?(Write your answer as a percentage to 2 decimals.)I
The total amound of samples is 200,000 so now we can use a rule of 3 to calculate how many males has the defect so:
\(\begin{gathered} 200000\to100 \\ x\to0.5 \end{gathered}\)so the equation is:
\(\begin{gathered} x=\frac{200000\cdot0.5}{100} \\ x=1000 \end{gathered}\)So now the probability to have a positive sample will be:
\(\begin{gathered} p=\frac{1000}{200000}\cdot100 \\ p=0.005\cdot100 \\ p=0.50 \end{gathered}\)there is a 0.50%
Submit your answers to the following questions. Be sure to explain your reasoning for each; it is helpful to draw this out to get started to see any quantitative patterns that develop.
If you write the counting numbers in rows of 7 numbers each, like shown below (but you keep going), where all the number line up in seven vertical columns as you go. (Note in the example below, the number 13 is in the 2nd row and the 6th column.)
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
In which column would the number 100 land?
In which row?
Now write the counting numbers in rows of 6 numbers each. What’s the location of 100 in this array?
Write arrays with other length rows. Find a way to predict in which row and column 100 will land for any array of numbers.
The number 100 would land in column 2
The number 100 would land in row 14The location of 100 in rows of 6 numbers is row 16 and column 3The location of 100 in rows of n numbers is row q and column rIn which column would the number 100 land?Given that we have the array of numbers
The length of each row in the array is 7
Dividing 100 by 7, we have
100/7 = 14 Remainder 2
This means that
Column = 2
In which row would the number 100 land?In (a), we have
100/7 = 14 Remainder 2
This means that
Row = 14
The location of 100 in rows of 6 numbersHere, we have
The length of each row in the array is 6
Dividing 100 by 6, we have
100/6 = 16 Remainder 3
So, the location of 100 in rows of 6 numbers is row 16 and column 3
Predicting the row and column 100 will landLet the length of each row in the array be n
Dividing 100 by n, we have
100/n = q Remainder r
This means that the location of 100 in rows of n numbers is row q and column r
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what is the estimated sum of 4 5/12 + 3 8/14
A.7
B.7 1/2
C.8
D.9
The estimated sum of 7 83/84 is 8 to the nearest whole number.
Addition of mixed fractions:Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.
Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.
Using the first process:
= 4 5/12 + 3 8/14
The whole number are 4 and 3, adding those two together, we have:
= 7 (5/12 + 8/14)
The L.C.M of 12 and 14 is 84.
= 7( (7×5)+ (6*8) ) /84
= 7 (35+ 48/84)
= 7 (83/84)
To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.
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for what values of x will 4^x be greater than 1 ?
Answer:
x>0
Step-by-step explanation:
We want to solve for x in the inequality:
4^x > 1
ln(4^x)=xln(4) > ln(1)=0
x > 0/ln(4) =0
x>0
So for any value of x greater than 0, you will have 4^x be greater than 1.
f(5)-f(3) = x^2+7x-22
Answer:
your answer is going to be -158
Step-by-step explanation:
(5)-(3)^2+7×-22=-158
which transformation is shown here?
The school cafeteria tracked the lunch drinks one day for
600 middle-school students. How many students did not
drink milk?
This is a linear equation with two variables.The number of student who did not drink the milk is x = 600 - m.
What is Linear equation?
A linear equation is an equation that represents a straight line on a graph. In algebra, a linear equation can be written in the form:
y = mx + b
where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept (the point where the line crosses the y-axis).
Linear equations can also have more than one independent variable, which results in an equation with multiple variables. For example, a linear equation with two variables can be written in the form:
y = mx + b
where "y" and "x" are independent variables, "m" is the slope, and "b" is the y-intercept.
The school cafeteria tracked the lunch drinks for 600 middle-school students. If we want to know how many students did not drink milk, we need to find out the number of students who did not select milk as their drink option.
Let's say that "m" represents the number of students who chose milk, and "x" represents the number of students who did not choose milk. We know that the total number of students is 600, so we can write:
m + x = 600
We want to find "x", so we can rearrange the equation to solve for "x":
x = 600 - m
Now we just need to know the value of "m", the number of students who chose milk. This information is not given in the question, so we cannot provide an exact answer. However, if we assume that each student only chose one drink, then the number of students who did not choose milk would be 600 minus the number of students who chose milk.
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What is the value of f(x) when x = 4 in the piecewise function f(x) =
2x² when x>4 …….. 4x when x < 4
The question asks the value of f(x) when x = 4 in the equation
x = 4 is less than or equal to 4, so we use the first equation in the piecewise functions => {4x when x≤4}
Solving for f(x):
4(4)=16
16 is the answer!
Hope it helps!
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 1020, 1140, and 960, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product A Product B Product C Dept. I 2 1 2 Dept. II 3 1 2 Dept. II 2 2 1 Profit $18 $12 $15
How many units of each product should the company produce in order to maximize its profit?
Product A
Product B
Product C
What is the largest profit the company can realize?
$
Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)
labor in Dept. I
labor in Dept. II
labor in Dept. III
Answer:
a)
product A = 12O units
Product B = 220 units
product C = 280 units
b) $9000 = max/largest profit
c) No resource left
Step-by-step explanation:
Available hours
Dept. I = 1020
Dept. II = 1140
Dept. III = 960
Total available hours = 3120 hours
products produced by each department
product A Product B Product C
Dept. I 2 1 2
Dept. II 3 1 2
Dept. III 2 2 1
profits $18 $12 $15
Determine how many units of each product to be produced to attain maximum profit
let each product be represented as : x , y , z
2x + y + 2z = 1020 -------- ( department A ) --- 1
3x + y + 2z = 1140 -------- ( department B ) --- 2
2x + 2y + z = 960 --------- ( department c ) ---- 3
max profit : 18 x + 12y + 15 y
solving equation 1 from 2
x = 120
solve equation 2 from 3 simultaneously
x - y + z = 180
-y + z = 60
solve equation 1 and 3
-y + z = 60
∴ z = 60 + y
back to equation 1
2( 120 ) + y + 2( 60 + y ) = 1020
240 + y + 120 + 2y = 1020
∴ y = (1020 - 360 )/ 3 = 220
therefore ; z = 60 + 220 = 280
amount of each product to be produced to gain maximum profit
product A = 12O units
Product B = 220 units
product C = 280 units
ii) The largest profit
18 ( 120 ) + 12(220) + 15 ( 280 ) = $9000
HELP Is EACH line parallel, perpendicular, or neither parallel nor perpendicular to the line 4x + 3y = 12?
4x + 3y = 31
-3x + 4y = 8
3x + 4y = 12
-4x + 3y = -1
Determine the domain of which the following function is increasing
Answer:
domain : - ∞ < x < 1
Step-by-step explanation:
the function is increasing on the upward part of the curve. that is
from negative infinity to the vertex at (1, 3 )
domain : - ∞ < x < 1
Find the slope of the line. Enter your answer in simplest form. (5. 10) and (2, -2) The slope of the line is.....
Answer:
4
Step-by-step explanation:
Lets plug these points in:
\(\frac{((-2)-10)}{(2-5)} =\frac{-12}{-3} =4\)
A group of preschoolers has 8 boys and 24 girls what is the ratio of girls to boys
Answer:
1:3 (Boys : Girls)
Step-by-step explanation:
8/24 = 1/3 (divide by 8)
Answer: 1:3
Step-by-step explanation:
1:3
HsiwksjrINEEEDHELPPONTHISSS
Answer: 2) 2/7, 11/72 3) 2 2/5 licorice pieces
Step-by-step explanation:
2)
A fraction of another fraction is essentially the two fractions multiplied.
Therefore, 2/3 of 3/7 = (2*3)/(3*7) = 6/21 = 2/7
1/6 of 11/12 = (1*11)/(6*12) = 11/72
3) If the licorice is divided equally, that means each person would get 12/5 of licorice pieces. 12/5 as a mixed number would become 2 2/5.
Answer:
We will get 12 divided by 5 which it equals to 1.5 licornie will each person get.
Step-by-step explanation:
12/5 =2.4 2 and 1/3 of it
Area and perimeter for this rectangle
Answer:
perimeter = (8x + 3mm + 5mm) ×2
area = (8x + 3mm) × 5mm
Answer:
Perimeter: 48mm
Area: 95mm
Step-by-step explanation:
Perimeter=2(l+w)
2((8x+3)+5)
-8x=2(3+5)
-8x=2(8)
-8x=16
x=2
2((8(2)+3)+5)= 48
So the perimeter is 48mm
Area=wl
l=19mm
w=5mm
19*5=95mm
So the area is 95mm
Solve 3^5x=10
HELP PLS
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243
Write (2p)^4 without exponents.
Answer:
= 8p
Step-by-step explanation:
Steps
2p · 4
Remove parentheses: (a) = a
= 2p · 4
Multiply the numbers: 2 · 4 = 8
= 8p
A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.
Which equation can be used to solve for x, the side length of the original square?
x2 − 2x − 120 = 0
x2 + 2x − 120 = 0
x2 − 2x + 120 = 0
x2 + 2x + 120 = 0
Answer:
x² - 2x - 180 = 0
Step-by-step explanation:
A square piece of paper has an area of x² square units
w = x
l = x
A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.
this leaves
l = x
w = x - 2
x(x - 2) = 180
x² - 2x = 180
x² - 2x - 180 = 0
Answer:
x2 − 2x − 120 = 0
Step-by-step explanation:
Area of Square-A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.
Given data is-Let x the length side of the original square paper
we know that the area of the original square paper is equal to
\(A1=x*x=x^{2} units{2}\)
the area of the remaining piece of paper is equal to
\($A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$\)
so
\($x^{2}-2 x=120$$x^{2}-2 x-120=0$\)
therefore, the side length of the original square is x2 − 2x − 120 = 0
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Simplify Like terms
5x−3y−7x+9y
Answer:
-2x + 6y
Step-by-step explanation:
Rewrite equation
5x - 3y - 7x + 9y
Combine like terms
-2x + 6y
Hope this helps :)