Answer:
20.4
Step-by-step explanation:
$ The polynomial 3x3 + 10x2 - x - 12 has a factor of x + 3. Find the remaining factors,
Answer:
(3 x + 4) (x - 1) (x + 3)
Step-by-step explanation:
Factor the following:
3 x^3 + 10 x^2 - x - 12
The possible rational roots of 3 x^3 + 10 x^2 - x - 12 are x = ± 1/3, x = ± 2/3, x = ± 4/3, x = ± 1, x = ± 2, x = ± 3, x = ± 4, x = ± 6, x = ± 12. Of these, x = -4/3, x = 1 and x = -3 are roots. This gives 3 x + 4, x - 1 and x + 3 as all factors:
Answer: (3 x + 4) (x - 1) (x + 3)
Convert the rectangular equation x ^ 2 + y ^2 = 2 y to polar form
Answer:
Step-by-step explanation:
The main equivalence between rectangular and polar forms is
x^2 + y^2 = r^2, where r is the radius. Next, y = r sin Ф. Thus,
x^2 + y^2 = r^2 becomes r² = 2·r·sin Ф.
The variable r can be factored out partially: r = 2·sin Ф
This is the polar form of x^2 + y^2 = 2y.
Below are two parallel lines with a third line intersecting them.
Answer:
x = 88
Step-by-step explanation:
These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary
x + 92 =180
Subtract 92 from each side
x+92-92=180-92
x =88
Answer:
[tex]88 \: \: degrees[/tex]
Step-by-step explanation:
[tex]x + 92 = 180 \\ x = 180 - 92 \\ x = 88 \: \: degrees[/tex]
given g (x) = -x -2, find g (-5)
Answer:
g(-5)=3
Step-by-step explanation:
g(-5)=-(-5)-2=5-2=3
Substitute x with -5.
g(-5) = -(-5) - 2
g(-5) = 5 - 2
g(-5) = 3
Best of Luck!
The spinner below is spun 20 times. It lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times.
What is the theoretical probability of landing on red? Select all that apply
Group of answer choices
0.42
1/2
5/12
50%
42%
Answer:
I think the answer is 42%
PLEASE ANSWER THIS QUESTION,ILL MARK YOU AS THE BRAINLIEST IF UR ANSWER IS CORRECT.
Answer:
I WILL SAY THE 2 ONE
Step-by-step explanation:
Math money help! Seventh grade. Please help, thank y’all! <3
Answer:
ABC store
Step-by-step explanation:
The abc store shoes are 18.02
Answer:
Lo-Price Shoes
Step-by-step explanation:
(60.05×30)÷100=
1801.5÷100=
$18.015
60.05-18.015=42.035
$42.035>$38.85
Lo-Price Shoes are still cheaper even with ABC's 30% discount.
What point is symmetric to (2,7) on this quadratic graph?
OPTIONS
• (-5,0)
• (-2,4)
• (2,-1)
• (-6,7)
Answer: (-6,7)
Step-by-step explanation:
Tow points, (x1, y1) and (x2, y2) are simetric in a quadratic graph when:
f(x1) = y1 = f(x2) = y2
so y1 = y2
Then if we have the point (2,7) we want to find other point that has the same value for y, this is (-6, 7)
So the correct option is (-6,7)
Which of the following numbers is closest to the mean of this distribution?
A. 5
B. 4
C. 3
D. 7
E. 9
Answer: 3
Step-by-step explanation: if you had the histogram..... the first is 14 and the second is 14 too, but the first one you divide by 4 because there are only 4 lines, so that gives you 3.5
The second one you divide by 5
So, 14 divided by 5 is
2.8
If you round both of these you should have around 3
Therefore, the answer is 3
how would you go about doing this
Answer:
3.4x7.6 then divide by 2
Answer:
Step-by-step explanation:
the formula of a triangle is
b * h
2
so 7.6 * 3.4
=25.84/ 2
=12.92 cm²
PLZ HELP! I am stuck on his question.
The ages of two exercise groups at a local fitness center are listed below.
Group A: 37 36 32 41 42 36 44 45
Group B: 26 40 38 36 42 40 40 36
Which statement about the data is true?
The mean age is the same for both groups
The range of ages is greater in Group A than in Group B
The mode of the ages for both groups is 36
The median age is the same for both groups
Answer:
The median age is the same for both groups
Step-by-step explanation:
Group A:
37, 36, 32, 41, 42, 36, 44, 45
32, 36, 36, 37, 41, 42, 44, 45
Mean: (32+36+36+37+41+42+44+45)÷8=39.125
Range: 45-32=13
Mode: 36
Median: (41+37)÷2=39
Group B:
26, 40, 38, 36, 42, 40, 40, 36
26, 36, 36, 38, 40, 40, 40, 42
Mean: (26+36+36+38+40+40+40+42)÷8=37.25
Range: 42-26=16
Mode: 40
Median: (40+38)÷2=39
Only the median in both groups are the same.
Answer:
The median age is the same for both groups
Step-by-step explanation:
I just did the Exam!
60 is 30 percent of what number
Answer:
50
Step-by-step explanation:
The solution of number is, 200.
We have to given that;
To find a number which is 30% of number is 60.
Let us assume that,
A number is, x
Hence, We can formulate;
⇒ 60 = 30% of x
⇒ 60 = 30/100 × x
⇒ 60 = 3x / 10
⇒ 600 = 3x
⇒ 3x = 600
⇒ x = 200
Thus, The solution of number is, 600
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ6
answer the question for 10 points
Answer:
D. Division and Addition
Step-by-step explanation:
What are the leading coefficient, constant term and degree, if any, of the algebraic expression 7^x + 2x + 1? a. leading coefficient: 2; constant term: -1; degree: 2 c. leading coefficient: 2; constant term: 1; degree: -2 b. leading coefficient: -2; constant term: 1; degree: 2 d. none, expression is not a polynomial Please select the best answer from the choices provided A B C D I TRIED AND C IS WRONG
Step-by-step explanation:
Step 1: Answer the question
This algebraic expression is not a polynomial therefore, none of these options match except D. The reason why it is not a polynomial is because there is a 7^x which is not a polynomial expression. The expression needs to be expressed as a 7x^2 + 2x + 1. Therefore, the answer is D.
Answer: D, none
Jack runs 7 tenths of a kilometre further than Whitney . How far does Jack run
Answer:
more than witney
Step-by-step explanation:
7x^2-2x+1-(9x^2+2x-1)
Answer:
[tex]-2x^2-4x+2[/tex]
Step-by-step explanation:
[tex](7x^2-2x+1)-(9x^2+2x-1)=\\(7x^2-9x^2)+(-2x-2x)+(1+1)=\\-2x^2-4x+2[/tex]
Hope this helps!
Terry scored 71, 80, and 86 on his first three history tests. What must terry score on the fourth test to have a mean of exactly 80
Answer:
83
Step-by-step explanation:
You are trying to find the score that gives you a specific mean. A mean is calculated by dividing the sum of the data by the amount of data. Set up in this order, with x as the fourth score, to find the answer.
[tex]\frac{71+80+86+x}{4}=80\\\frac{237+x}{4} =80\\237+x=320\\x=83[/tex]
The fourth test score must be an 83.
Answer:
83
Step-by-step explanation:
Equation: 71 + 80 + 86 + x / 4 = 80
Add 71, 80, and 86 together.
237 + x = 80
Multiply 4 to both sides (cross multiplying).
237 + x = 320
Subtract 237 from both sides.
x = 83
MATH HOMEWORK HELP PLEASE I ONLY NEED 22 and 23 DONE
C. 0.42 I did this right before the pandemic
2. Solve ABC if a = 4, c = 7, and C = 90°. Use trig functions to find the
missing angles.
Answer:
The answer is 43.9822972 rad but you could just round and put 43.98
Step-by-step explanation:
Which number line shows the solution set to this inequality? -2x + 9 < x − 9
Answer:
see below
Step-by-step explanation:
-2x + 9 < x − 9
Add 2x to each side
2x-2x + 9 < 2x+x − 9
9 < 3x-9
Add 9 to each side
9+9 < 3x
18 < 3x
Divide each side by 3
18/3 < 3x/3
6 < x
Open circle at 6 line going to the right
Answer:6 to the right of the number line
Step-by-step explanation:I just did this quiz
What is the mean?
97 3 0 4 7
Answer: 22.2
Step-by-step explanation: You have to add 97, 3, 0, 4, 7 and then then divide the total by how many numbers you added. So for this you would divide the total by 5
On the Venn diagram, which region(s) represent the intersection of Set A and Set B (A∩B)?
Answer:
the middle. because it'sthe intersection of the circles
Answer:
ll
Step-by-step explanation:
the middle intersection point of i and just took the quiz
Fill in the Blank 6:15=8:_
Answer:
20
Step-by-step explanation:
Factor completely: x^2-y^2-1.5(x-y)
Answer:
(x-y)(x+y-1.5)
Step-by-step explanation:
consider the word grateful. if all of the letters are used, how many ways can the letters be arranged?
a. 36
b. 720
c. 5,040
d. 40,320
Answer:
Correct option: d -> 40,320
Step-by-step explanation:
To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.
The word "grateful" has 8 different letters, so the number of arrangements of letters is:
8! = 8*7*6*5*4*3*2 = 40,320 different arrangements
Correct option: d
Suppose that a person's peak blood alcohol level is 0.07 (grams per 100 mL) and that this level decreases by 40% each hour. a) What is the hourly decay factor? b) Write an exponential function B(x)equalsCa Superscript x that models the blood alcohol level after x hours. c) Evaluate B(2) and interpret the result.
Answer:
Step-by-step explanation:
Considering a person peak blood is 0.07
It decrease by 4% every hour
a) Using exponential function
[tex]f(x) = Ca^x[/tex]
where,
a = 1 + r
r = -0.40%
Here,
C = 0.07,
a = 1 - 0.04 = 0.06
[tex]f(x)=0.07(0.6)^x[/tex]
Therefore, hourly decay factor is 0.6b)
Here the hourly decay factor is 0.6
[tex]B(x)=ca^x\\\\0.07(0.6)^x[/tex]
c) Evaluate
[tex]B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g[/tex]
0.0252g or 100mL
Thus, after 2 hours the blood is 0.0252g or 100mLAnswer:
a) Hourly decay factor = 0.6
b) [tex]B(x) = 0.07(0.6)^x[/tex]
c) B(2) = 0.0252
This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours
Step-by-step explanation:
Since the function is an exponential function, it can be modeled as:
[tex]B(x) = C (1 + r)^x[/tex]
Where the peak blood alcohol level, C = 0.07
Since the blood level decreases by 40%(0.4) every hour, r = -0.4
The hourly decay factor is given by a = 1 + r
a = 1 + (-0.4) = 1 - 0.4
a = 0.6
Therefore, the hourly decay factor = 0.6
b) The exponential function is:
[tex]B(x) = Ca^x[/tex]
Where a = 1 + r = 0.6
C = 0.07
[tex]B(x) = 0.07(0.6)^x[/tex]
c) Evaluate B(2)
Substitute x = 2 into the exponential function gotten in part (b)
[tex]B(2) = 0.07(0.6)^2\\B(2) = 0.0252[/tex]
This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours
The Captain has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{5}
5
1
start fraction, 1, divided by, 5, end fraction.
Which table correctly represents these functions?
Answer:
Graph C.
Step-by-step explanation:
C works the best when you plot the points on a graph, in reference to the functions provided...
*blue is the G(x) and red is the f(x) I believe*
Have a Great Day!
What are the roots of y = x2 – 3x – 10?
Answer: y =x2 (squared)−3x−10
Step-by-step explanation:
Answer:
What are the roots of y [tex]y=x^{2}-3x-10[/tex]?
[tex]x=5[/tex] [tex]and[/tex] [tex]=-2[/tex] .
Step-by-step explanation:
The given equation in two variables is [tex]y=x^{2}-3x 10 y = x 2 - 3 x - 10[/tex] .
We are asked to find the roots. We will now apply the zero factor property
by equating each factor to zero. Thus, the roots of the equation are
[tex]x=5[/tex] and [tex]x=-2[/tex] .
The number of purses a vendor sells daily has the probability distribution represented in the table. Number of Purses, x 0 1 2 3 4 5 P(x) 0.35 0.15 0.2 0.2 0.03 0.07 If each purse sells for $50.00, what is the expected daily total dollar amount taken in by the vendor from the sale of purses? $1.62 $35.00 $79.30 $81.00 $162.00
Answer:
(D)$81
Step-by-step explanation:
Given that the number of purses a vendor sells daily has the probability distribution represented in the table.
Expected Value, [tex]E(x)=\sum_{i=1}^{n}x\cdot p(x)[/tex]
Therefore:
[tex]E(x)=(0X0.35)+(1X0.15)+(2X0.2)+(3X0.2)+(4X0.03)+(5X0.07)\\=0+0.15+0.4+0.6+0.12+0.35\\E(x)=1.62[/tex]
If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses
=Expected Value X $50
=1.62 X $50
=$81
The correct option is D.