Answer:
Options 2, 3, 4, 5, 7Step-by-step explanation:
Given roots:
3, 8i and 7 - √5Polynomial with same roots will have factors of:
(x - 3), (x - 8i) and (x - (7-√5))So correct choices are:
(x - 3)(x^2-9), has a factor of (x - 3)(x - 8i)(x^2+64), has a factor of (x - 8i)(x^2-14x+44), has a factor of (x - 7 + √5)two fair dice are rolled. the score is the difference between the two dice. some of the possible scores are shown in the table.
c) which score has a probability of occurring 1/18
Answer:
Step-by-step explanation:
a). From the table attached,
Number in 1st column and 1st row = 1 - 1 = 0
Number in 1st column and 6th row = 6 - 1 = 5
Number in 2nd column and 4th row = 4 - 2 = 2
Number in 5th column and 2nd row = 5 - 2 = 3
Number in 6th column and 5th row = 6 - 5 = 1
b). Probability of scoring 1 = [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]
Preferred outcomes of getting = 10
Total outcomes = 36
Probability of scoring 1 = [tex]\frac{10}{36}[/tex]
= [tex]\frac{5}{18}[/tex]
c). Probability of occurring a score = [tex]\frac{1}{18}[/tex]
= [tex]\frac{1\times 2}{18\times 2}[/tex]
= [tex]\frac{2}{36}[/tex]
= [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]
Since, 5 is a number which has occurred twice
Score that has a probability of occurring of [tex]\frac{1}{18}[/tex] is 5.
In a company, 70% of the workers are men. If 1,620 people work for the company who aren't men, how many workers are there in all?
Answer:
2106!
Step-by-step explanation:
1,620 - 70% = 486
486 + 1,620 = 2106
( お力になれて、嬉しいです！)
Answer:
5,400 total workers
Step-by-step explanation:
70% of workers are men, this means that 30% of workers aren't men
This means that 1,620 is 30% of the total workers
To figure out the total workers you do:
30 (percentage that represents the value)/100 = 1,620 (value) / x (total workers)
You then cross-multiply the equation by multiple the numbers diagonal each other:
30/100
=1,620/x
So, 30x = 162,000
You then isolate the variable
30x/30 = 162,000/30
x = 5,400
plz helpppppppp
two right circular cones have the same radius as 7cm and the sum of their heights is 42cm . then find their total volume.
Answer:
hope it helps..
Step-by-step explanation:
If this helps please comment on my answer...
Answer:
hope it's helps you have a great day keep smiling be happy stay safeTwo gallons of juice is poured into 8 containers so that each container holds the same amount of juice.
This visual model represents the situation, with each letter representing one of the containers.
Two equally sized rectangles. Each rectangle is divided into 8 equal parts. Longer lines separate every 2 parts. The first 2 parts of the first rectangle are each labeled A. The second 2 parts of the first rectangle are each labeled B. The third 2 parts of the first rectangle are each labeled C. The fourth 2 parts of the first rectangle are each labeled D. The first 2 parts of the second rectangle are each labeled E. The second 2 parts of the second rectangle are each labeled F. The third 2 parts of the second rectangle are each labeled G. The fourth 2 parts of the second rectangle are each labeled H.
How much juice does each container hold?
18 gal
14 gal
12 gal
1 gal
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:hpe this helps
Write the ratio 150:450 in the form 1:n
Answer:
1 : 3
Step-by-step explanation:
Given
150 : 450 ( divide both parts by 150 )
= 1 : 3
The ratio 150:450 in the form 1:n will be 1 : 3.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given ratio, 150:450
150/450 = 15/45 = 1/3 = 1:3
Hence "The ratio 150:450 in the form 1:n will be 1 : 3".
For more information about ratios and proportions,
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Tomas is a commercial real estate agent who earns a yearly salary of $82,500 and a 2.5% commission on his total sales. If Tomas sold properties that totaled $3.75 million in sales during one year, what are Tomas’s earnings for that year?
Answer:
Step-by-step explanation:
tomas earning is $176,250
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
[tex]\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}[/tex]
By substituting the measures of the given sides,
[tex]\frac{4}{2}=\frac{6}{3}=\frac{2}{1}[/tex]
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
What is the value of 0
Answer:
The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).
Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil
Binary: 0
2
Hexadecimal: 0
16
Step-by-step explanation:
(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have?
Answer:
9
Step-by-step explanation:
Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12
3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! 15 points! and marked brainliest
Answer:
Step-by-step explanation:
a. a=4
b. a=3
hope this helps
Mr. Ortiz took his friends out to dinner last night and their subtotal was $88.24.
If the sales tax is 5% and if he plans to leave a 20% tip after the tax is added, how much did Mr. Ortiz spend total on dinner?
Answer:
$111.18
Step-by-step explanation:
Dinner is $88.24
Tax is (.05)$88.24 = $4.41
20% after tax added (.20)92.65 = $18.53
total dinner cost is $111.18
The first four terms of a sequence are shown below:
9,5, 1, -3
Which of the following functions best defines this sequence?
Answer:
-4
Step-by-step explanation:
What is the remainder when 3x2−7x+5 is divided by x+5?
Answer: 2
Step-by-step explanation:
Please please please help me I’m stupid Please thank you I would really appreciate it
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
monique gave half of her necklace to her younger sisters. then she bought 4 new ones. if she now has 18, now many did she have originally
Answer:
She originally had 7 necklaces.
Step-by-step explanation:
She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.
Answer:
i think 28 possibly
Step-by-step explanation:
because she bought 4 new ones so 18-4 =14x2 =28?
i don't know if im right but hopefully this helped
how many whole numbers lie between √ 8 and √ 80
Answer:
There are 5 whole numbers.
Step-by-step explanation:
3,4,5,6,7
Answer:
6Step-by-step explanation:
√ 8 < √ 9 = 3and
√ 80 < √ 81 = 9Whole numbers between √8 and √80 are:
3, 4, 5, 6, 7 and 8 - total 6 numberssimplify this expression: 5 + 2b - 2
Answer:
3 + 2b
Step-by-step explanation:
To simplify, you have to combine (add) like terms. The like terms are 5 and -2 because they both do not have a variable.
5 + (-2) = 3
2b stays the same because there are no like terms for it.
3 + 2b
Hope this helped :)
Please help asap! Due tonight!
Answer:
C. 4,4,[tex]\sqrt{32}[/tex]
Step-by-step explanation:
a^2 + b^2 = c^2
4,4,[tex]\sqrt{32}[/tex]
4^2 + 4^2 = [tex]\sqrt{32}[/tex]^2
16 + 16 = 32
32 = 32
Answer:
darnnnnn the person beat me to it. it is c. 4,4,√32
Step-by-step explanation:
please help me with question 1 please and thanks
Answer:
(1,1) and (7,5) => Slope: 2/3
(1,1) and (5,7) => Slope: 3/2
(2,5) and (-1,2) => Slope:1
(2,5) and (-7,-4) => Slope:1
Step-by-step explanation:
The slope of a line is denoted by m and is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Calculating the slope one by one for each pair.
(1,1) and (7,5):
Let m1 be the slope of this line
Here
(x1,y1) = (1,1)
(x2,y2) = (7,5)
Putting values in formula
[tex]m_1 = \frac{5-1}{7-1}\\= \frac{4}{6}\\=\frac{2}{3}[/tex]
(1,1) and (5,7):
Let m2 be the slope of this line
Here
(x1,y1) = (1,1)
(x2,y2) = (5,7)
Putting values in formula
[tex]m_2 = \frac{7-1}{5-1}\\m_2=\frac{6}{4} = \frac{3}{2}[/tex]
(2,5) and (-1,2):
Let m3 be the slope of this line
Here
(x1,y1) = (2,5)
(x2,y2) = (-1,2)
Putting values in formula
[tex]m_3 = \frac{2-5}{-1-2}\\m_3 = \frac{-3}{-3} = 1[/tex]
(2,5) and (-7,-4):
Let m4 be the slope of this line
Here
(x1,y1) = (2,5)
(x2,y2) = (-7,-4)
Putting values in formula
[tex]m_4 = \frac{-4-5}{-7-2}\\m_4 = \frac{-9}{-9} = 1[/tex]
Hence,
The points and their respective slopes are as follows:
(1,1) and (7,5) => Slope: 2/3
(1,1) and (5,7) => Slope: 3/2
(2,5) and (-1,2) => Slope:1
(2,5) and (-7,-4) => Slope:1
A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?
Answer:
30 degrees
Step-by-step explanation:
Which statement is correctly written as a conditional statement?
A) Any four-sided shape is a quadrilateral.
B) A shape has four sides when it is a quadrilateral.
C) If a shape has four sides, then it is a quadrilateral.
D) A shape has four sides, or it is a quadrilateral.
Answer:
C
Step-by-step explanation:
If a shape has four sides, then it is a quadrilateral.
If a shape has four sides, then it is a quadrilateral so option (C) will be correct.
What is quadrilatereal?A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.
In other meaning, a quadrilateral is a kind of polygon in which four sides for example rectangle, square, and parallelogram are quadrilateral.
a quadrilateral is a four-sided polygon, having four edges and four corners
A parallelogram is a basic quadrilateral with two sets of parallel sides.
The confronting or opposing sides and the opposing angles of a parallelogram are of equal length.
A quadrilateral is a quadrilateral because it has four sides not because it is quadrilateral so it has four sides.
For example, 4 sides are equal so the square is not due to the square all lines will same.
Hence If a shape has four sides, then it is a quadrilateral.
To learn more about quadrilateral,
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The leg of an isosceles triangle has a length 2x+4 and the base has length 3x. The
perimeter is 141, What is the length of the base?
Answer:
[tex]Base = 57[/tex]
Step-by-step explanation:
Given
[tex]Length = 2x + 4[/tex]
[tex]Base = 3x[/tex]
[tex]Perimeter = 141[/tex]
Required
Determine the length of the base
The perimeter of an isosceles triangle is:
[tex]Perimeter = 2*Length + Base[/tex]
[tex]141 = 2 (2x + 4) + 3x[/tex]
[tex]141 = 4x + 8 + 3x[/tex]
Collect Like Terms
[tex]4x + 3x = 141 - 8[/tex]
[tex]7x = 133[/tex]
Divide both sides by 7
[tex]x = 19[/tex]
To get the base, we substitute 19 for x in [tex]Base = 3x[/tex]
[tex]Base = 3 * 19[/tex]
[tex]Base = 57[/tex]
(3а-4)-4
how do you simplify?
Answer:
3a-8
Step-by-step explanation:
(3a-4) -4
= 3a-4-4
= 3a-8
Hey, can someone help me with my math homework?
aqueell ears hanan pus
There is a leak in the ceiling due to snow. John is planning to use a bowl
to catch the dripping water.
The number of bowls (y) filled during (x) hours can be represented by the
equation y = 2.5x
1. what is the constant proportionality
2. How long will it take to fill 8 bowls
3. how many bowls fill in 5 hours
HELP PLEASE ILL THANK AND GIVE BRAINLESS
2(h + 3.5) = -11 whats h?
Answer: H=-9
Step-by-step explanation:
(2)(h)+(2)(3.5)=−11
=2h+7=−11
=2h+7−7=−11−7
=2h=−18
h=-18/2
h=-9
Answer:
-9 is the answer hope it helps :)
The first time a census was taken in Michele Corners, the population was 1772. Each year after that, the population was about 9% higher than it was the previous year.
Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.
What are the coordinates of the point that contains the y-intercept?
A. ( 1772, 0)
B. ( 1, 1772)
C. ( 0, 1772)
D. ( 1772, 1)
Answer:
i'm 95% sure that it is D
Step-by-step explanation:
don't be mad if i'm wrong
hi can somebody answer this rlly quickly
Answer:
11
Step-by-step explanation:
72/9=8 so 99/9=11
7 – Зу = 20
y = 5х – 4
QUICK! how do i do this i need the x and y this is the Systems of equations with substitution
Answer:
x=1/15 y = -4 1/3
Step-by-step explanation:
First combine like terms.
-3y = 13
y= -13/3
y= -4 1/3
Substitute for y in next equation
-4 1/3 = 5x - 4
5x = 4 1/3 - 4
5x = 4 1/3 - 4
5x = 1/3
x = 1/3 divided by 5
Since fractions can't be divided, multiply by the inverse
x = 1/3 times 1/5 = 1/15
1. Billy's mother started a college fund on Billy's 8th birthday. She
deposited $8,200 into a savings account that yields an interest rate of
0.21% compounded annually. How much money will the savings account
be worth when Billy turns 18 years old?