Answer:
135th term=1738
Step-by-step explanation:
formula is an=a+(n-1)dso here a=-4
d=13
a135=-4+(134)13
=-4+1742
a135=1738
What is the percentage of change from 50 to 17
Answer:
66%
Step-by-step explanation:
50 - 17 = 33, so that is the difference between the two numbers. Percent change is the change over the original, so 33/50. 33/50 equals 66/100, so the percent change is 66%
Perform the operation below using a number line. -7-(-8). ASAP. pleeease help.
Answer:
1
Step-by-step explanation:
Calculation steps:
-7-(-8) = ⇒ two negatives cancel and change to positive
- 7 + 8 = ⇒ 8-7 = 1
1 ⇒ answer
3. Which of the following equations does not
have a rational solution?
(A) x*x= 2
(B) x*x=1
(C) x*x=0
(D) x+x=0
Answer:
Equation A doesn't have a rational solution
Step-by-step explanation:
Notice that the solutions for equation A is:
[tex]x^2=2\\x=+/- \sqrt{2}[/tex]
and [tex]\sqrt{2}[/tex] is an irrational number
The other equations have rational solutions:
Equation B: x = 1 and x = -1 are solutions (both rational numbers)
Equation C: x = 0 is the solution (rational number)
Equation D : x = 0 is the solution. (rational number)
−a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3
Answer:
7
Step-by-step explanation:
a = 3, b=2 and c = -3
● -a^2 - 3b^3 + c^2 + 2b^3 -c^2
● -a^2 - b^3
● -(3)^2 + 2×2^3
● -9 + 16
● 7
Answer:
-35
Step-by-step explanation:
-3^2-3(2^3)-3^2 + 2(2^3)-3^2
Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50, a=26 D. m∠A=43, m∠B=55, a=20
Answer:
D. m∠A=43, m∠B=55, a=20
Step-by-step explanation:
Given:
∆ABC,
m<C = 82°
AB = c = 29
AC = b = 24
Required:
m<A, m<C, and a (BC)
SOLUTION:
Find m<B using the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
[tex] \frac{sin(B)}{24} = \frac{sin(82)}{29} [/tex]
[tex] sin(B)*29 = sin(82)*24 [/tex]
[tex] \frac{sin(B)*29}{29} = \frac{sin(82)*24}{29} [/tex]
[tex] sin(B) = \frac{sin(82)*24}{29} [/tex]
[tex] sin(B) = 0.8195 [/tex]
[tex] B = sin^{-1}(0.8195) [/tex]
[tex] B = 55.0 [/tex]
m<B = 55°
Find m<A:
m<A = 180 - (82 + 55) => sum of angles in a triangle.
= 180 - 137
m<A = 43°
Find a using the law of sines:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]
[tex] \frac{a}{sin(43)43} = \frac{24}{sin(55)} [/tex]
Cross multiply
[tex] a*sin(55) = 25*sin(43) [/tex]
[tex] a = \frac{25*sin(43)}{sin(53)} [/tex]
[tex] a = 20 [/tex] (approximated)
Answer:
20.0
Step-by-step explanation:
I got it correct on founders edtell
A cylinder is shown with a base diameter of 6 centimeters and a height of 8 centimeters. What is the minimum number of identical containers Rene would need to make 2,000 cm3 of ice? (Use π = 3.14.)
Answer:
Rene needs 9 of these identical cylinder.
Step-by-step explanation:
diameter d = 6 cm
height h = 8 cm
volume of this cylinder v = [tex]\pi d^{2}h/4[/tex]
substituting, we have
v = (3.142 x [tex]6^{2}[/tex] x 8)/4
v = 226.224 cm^3
minimum number of identical containers Rene should use should be
n = 2,000/226.224 = 8.8
The minimum number must be a whole number, and must completely make this 2000 cm^3 volume of ice or more
answer will be 9
The math club sells candy bars and drinks during football games. 60 candy bars and 110 drinks will sell for $265. 120 candy bars and 90 drinks will sell for $270. How much does each candy bar sell for?
Answer:
$0.75 per candy bar
Step-by-step explanation:
For this problem, we simply need to set up a system of equations to find the value of a drink, and the value of a candy bar.
Let x represent the cost of a candy bar, and y represent the cost of a drink.
60x + 110y = 265
120x + 90y = 270
Now let's use the elimination method to solve for one of the variables:
60x + 110y = 265 --> -2 ( 60x + 110y = 265 ) --> -120x + -220y = -530
-120x + -220y = -530
120x + 90y = 270
-130y = -260
y = 2
Now plug the value of y into one of the equations to find the value for x:
60x + 110y = 265
60x + 110 (2) = 265
60x + 220 = 265
60x = 45
x = 45 / 60
x = 0.75
With this, we know that the cost of a candy bar is $0.75 and the cost of drink is $2.00.
Cheers.
the product of two rational numbers is - 16/9. If one of them is - 4/3 find the other
Answer:
The other number is 4/3
Step-by-step explanation:
Let the unknown number be x
Translate the equation :
[tex] - \frac{4}{3} \times x = - \frac{16}{9} \\ - \frac{4}{3} x = - \frac{16}{9} \\ [/tex]
Cross multiply
[tex] - 4x \times 9 = 3 \times - 16 \\ - 36x = - 48[/tex]
Divide both sides by -36
[tex] \frac{ - 36x}{ - 36} = \frac{ - 48}{ - 36x} \\ x = \frac{4}{3} [/tex]
Find the x-intercepts of the parabola.
g(x)=−x2−6x−5
Answer: The x intercepts are -1 and -5 or (-1,0) and ( -5,0)
Step-by-step explanation:
Finding the x intercepts of a parabola is the same as finding the roots of a parabola because the x intercept is when y or g(x) is equal to zero. So set the equation equal zero.
[tex]-x^{2} -6x -5 = 0[/tex] First divide each term by 0 to get the largest degree coefficient to equal 0.
x^2 + 6x +5 = 0 Now find two numbers that their product is 5 and their sum is 6. The numbers 5 and 1 works out because the 5 times 1 is 5 and 5 plus 1 is 6.
Rewrite the whole equation as
x^2 + 1x+5x +5 = 0 Now factor the left side by grouping
x(x+1) 5(x+1) = 0 Factor out x+1
(x+1) (x+5) = 0 Now use the zero product by setting each of them equal zero.
x+ 1 = 0 or x+5 = 0
-1 -1 -5 -5
x = -1 or x = -5
A manufacturer determines that the cost of making a computer component is $4.252525. Write the
repeating decimal cost as a fraction and as a mixed number. The cost written as a fraction is???
Answer:
4 25/99 is the mixed fraction.
25/99 is the fraction
evaluate 3^2+(8-2)x4-6/3
Answer:
31
Step-by-step explanation:
=3^2+(8-2)x4-6/3
=9+6 x 4 - 2
=9+24-2
=31
Answer:
31
Step-by-step explanation:
9+6*4-6/3
9+6*4-2
9+24-2
31
hi, please help a sis out :))
Answer:
The value of x is 16 and the width is 4.
Step-by-step explanation:
The area of a rectangle is the length multiplied by the width, which is [tex]9\sqrt{x}[/tex].
So, [tex]9\sqrt{x}[/tex] = 36.
We divide both sides by 9, getting [tex]\sqrt{x}[/tex] = 4.
We then square both sides, getting x = 16.
The value of x is 16, and the width is 4.
Jake's morning run was a distance of 9.3 miles. He ran back and forth on one long straight street. He started at his house and ran to the school 4 miles away. Then he ran to the library, and then he ran back to his house. What are possible distances the library could be from the house?
Answer: the distances can be 0.65 miles (in the opposite direction to the school) or 4.65 miles (in the same direction as the school)
Step-by-step explanation:
Ok, the data that we have is:
Total distance = 9.3 mi.
The travel is:
House to school = 4 mi.
school to library = A
library to house = B
Now, we have that:
4mi + A + B = 9.3mi.
We have three possibilities:
1) The order of locations is: house, library, school
The travel from: school to library + library to house is equivalent to a travel between the school to the house = 4mi.
Then we have A + B = 4mi
4mi + A + B = 8mi ≠ 9.3mi
Then the library can not be between the house and the school.
2) The order of locations is: house, school, library.
In this case we have that the distance between the library and the house is equal to the distance between the house and the school plus the distance between the school and the library, then:
4mi + A = B.
We can replace this in our original equation:
4mi + A + B = 9.3mi
4mi + A + (4mi + A) = 9.3mi
8mi + 2*A = 9.3mi
2*A = 9.3mi - 8mi = 1.3mi
A = 1.3mi/2 = 0.65mi
Then the distance between the house and the library is:
The 4 miles between the house and the school, plus the 0.65 miles between the school and the library:
Distance = 4mi + 0.65mi. = 4,65mi
3) The third case is when the order of the locations is:
Library, house, school.
Then the distance between the house and the library is equal to the distance between the school and the library minus the distance between the house and the school, this is:
A - 4mi = B
Now we can replace this in our distance equation:
4mi + A + B = 9.3mi
4mi + A + (A - 4mi) = 9.3 mi
2A = 9.3mi
A = 9.3mi/2 = 4.65mi
Then the distance between the house and the library is:
B = A - 4mi = 4.65mi - A = 0.65mi
Then the distance between the house and the library is 0.65 miles in this case.
______ is terminology that is specific to a particular profession or group. For example, statisticians talk about t-tests, chi-square tests, confidence intervals, and normal distributions.
Answer:
parlanceStep-by-step explanation:
The world parlance represents jargon/terms used by a particular profession or by a group of related experts in a field.
In french parler, means "to speak, hence the word parlance has it root from the french word parler.
it is a noun and it often called a slang or a jargon.
for example in law, lawyers use world/terms like, plaintiff, witness, suspect, jury, etc
The terminology that is specific to a particular profession or group is called; Jargons
We are given examples such as;
T-tests, chi-square tests, confidence intervals being used exclusively by statisticians.
Now, these terms used exclusively by statisticians have a general term they are called which is Jargons.
In conclusion, Jargons is the general name for words or expressions that are used exclusively by a group that are not easy for others to understand.
Read more at; https://brainly.com/question/12320553
If g(x) = 4x^2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be?
Answer:
D. h(x) = 4(x - 5)² - 18
Step-by-step explanation:
64 + 13 + (-83) Thanks for taking time out of your day your help
Is 22+ 32 = 42 a true statement? Explain.
If 3x2 - 7y + 6 is subtracted from 4x2 - 3y + 4, the result is
Answer:
X^2 +4y-2
Step-by-step explanation:
Substraction gives the difference between two points or two positions.
We were told to substraction 4x2 - 3y + 4, from (3x2 - 7y + 6)
Then we can say
(4x2 - 3y + 4) -(3x2 - 7y + 6)
If we open the bracket we have
4x2 - 3y + 4 - 3x2 + 7y - 6
Then if we collect like terms we have
4x2 - 3x2 -3y +7y +4 -6
Then we have
X^2 +4y-2
Hence the substraction between 4x2 - 3y + 4, and (3x2 - 7y + 6)
gives us X^2 +4y-2
PLEASE HELP 1kx + 13kx = 6 Solve for x.
Answer:
[tex]\bold{x=\dfrac3{7k}}[/tex]
Step-by-step explanation:
1kx + 13kx = 6
14kx = 6
÷(14k) ÷(14k)
x = 6/(14k)
x = 3/(7k)
Elena is trying to draw a triangle with side lengths 4 cm, 3 cm, and 5 cm. She uses her ruler to draw a 4 cm line segment AB. She uses her compass to draw a circle around point B with radius 3 cm She draws another circle, around point A with radius 5 cm. What should Elena do next? Explain how she can finish drawing the triangle?
All you have to do is find where the two circles intersect with each other ( where they meet ) and then draw your 5cm line from A to the intersection and the 3cm line from B to the intersection.
It should form a triangle*.
* The image should help you.
Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
84 POINTS!!!!!!!! The hands on a clock represents rays. At 6:00, they forn opposite rays. What undefined term do the hands of the clock represents at 6:00?
A. Point
B.Line
C. Plane
D. Space
Answer:
Line of course! So its B
4p+6-3 combine like terms to get equivalent expressions
Answer:
4p+3
Step-by-step explanation:
4p+6+-3
[4p]+[6+-3]
4p+3
A professor wants to divide the remaining 3 4 of the semester evenly into six different units. A. What fraction of the semester should be spent on each unit? B. The professor drops one unit. What fraction of the semester should be spent on each unit?
Answer:
A. 1/8 of the semester
B. 3/20 of the semester
Step-by-step explanation:
A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units. A. What fraction of the semester should be spent on each unit?
B. The professor drops one unit. What fraction of the semester should be spent on each unit?
Solution
A.
A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units
Total semester=3/4
Total units=6 units
Fraction of the semester that will be spent on each units = 3/4 ÷ 6
=3/4 × 1/6
=3/24
=1/8
1/8 of the semester will be spent on each units
B. If the professor drops one unit
That is 6 units - 1 unit = 5 units
Fraction of the semester that will be spent on each units=3/4 ÷ 5
=3/4 × 1/5
=3/20
Raj wakes up in the morning and notices that his digital clock reads 07 2(A)5(B).After noon, he looks at the clock again.what is the probality that
I) The number in column A is 4?
ii) The number in column B is an 8?
iii) The number in column A is less than 6?
iv) The number in column B is greater than 5?
Answer:
i. [tex]P(A) = \frac{1}{10}[/tex]
ii. [tex]P(B) = \frac{1}{10}[/tex]
iii. [tex]P(A) = \frac{3}{5}[/tex]
iv. [tex]P(B) = \frac{2}{5}[/tex]
Step-by-step explanation:
Given
Time: 07 2(A) 5(B)
Calculating (a)
First, we need to list out the possible sample space, S of A
[tex]S = \{0,1,2,3,....,9\}[/tex]
[tex]n(S) = 10[/tex]
Probability of A being a 4 is the number of occurrence of 4 divided by the number of sample space
[tex]A = \{4\}[/tex]
[tex]n(A) = 1[/tex]
Hence;
[tex]P(A) = \frac{n(A)}{n(S)}[/tex]
[tex]P(A) = \frac{1}{10}[/tex]
Calculating (b)
First, we need to list out the possible sample space, S of B
[tex]S = \{0,1,2,3,....,9\}[/tex]
[tex]n(S) = 10[/tex]
Probability of B being a 8 is the number of occurrence of 8 divided by the number of sample space
[tex]B = \{8\}[/tex]
[tex]n(B) = 1[/tex]
Hence;
[tex]P(B) = \frac{n(B)}{n(S)}[/tex]
[tex]P(B) = \frac{1}{10}[/tex]
Calculating (c)
Using the sample space in (a)
[tex]n(S) = 10[/tex]
Probability of A being less than 6 is the number of occurrence of less than 6 divided by the number of sample space
[tex]A = \{0,1,2,3,4,5\}[/tex]
[tex]n(A) = 6[/tex]
Hence;
[tex]P(A) = \frac{n(A)}{n(S)}[/tex]
[tex]P(A) = \frac{6}{10}[/tex]
[tex]P(A) = \frac{3}{5}[/tex]
Calculating (d)
Using the sample space in (b)
[tex]n(S) = 10[/tex]
Probability of B being greater than 5 is the number of occurrence of greater than 5 divided by the number of sample space
[tex]B = \{6,7,8,9\}[/tex]
[tex]n(B) = 4[/tex]
Hence;
[tex]P(B) = \frac{n(B)}{n(S)}[/tex]
[tex]P(B) = \frac{4}{10}[/tex]
[tex]P(B) = \frac{2}{5}[/tex]
What statements are true regarding the given statement and diagram? ∠CED is a right angle. ∠CEA is a right angle. m∠CEA = One-half(m∠CEB) m∠CEB = m∠BEA m∠DEB = 135° m∠AEB = 35°
Answer:
A, B, D, and E
Step-by-step explanation: Hope it helps ^w^
Step-by-step explanation: I hope this helps.
Answer:
HELP ME I GIVE UP PLEASE HELP ASAP
Work Shown:
T = C(3 + AB)
T = 3C + ABC .... distribute
3C + ABC = T
ABC = T - 3C ... subtract 3C from both sides
(AC)*B = T - 3C
B = (T - 3C)/(AC) .... divide both sides by AC
Answer:
T-AB-3=0
Step-by-step explanation:
What is the equation of a vertical line passing through the point (-4, 7)?
Answer:
x=-4
Step-by-step explanation:
Since we know that the equation will be x= we will just have to take the x value of the coordinate point and that would be the x so in this case the x is -4 so the equation would be x=-4
what is the polynomial -x^(2)-(1)/(2)+x
Answer:
trinomial
Step-by-step explanation:
-x² - 1/2 + x
if you are asking for the specific name, it is a trinomial because there are 3 terms.
What is 11/12 divided by 1/3?
Answer:
11
----
4
Step-by-step explanation:
11 1
--- ÷ ----
12 3
just flip the 1/3 = 3/1 then multiply.
11 3 33
--- x ---- = ----- just simplify if needed
12 1 12
11
therefore -----
4
5. Say the following are deductions on a typical income, i. Pension deductions are 5% ii. Emploment Insurance deductions are 2.4% iii. And Income Tax deductions are as follows 1. For annual salaries, on the first $11,000, no income tax is paid, 2. On the first $11,000 to $25,000, 8% of the income is deducted, 3. On the first $25,000 to $50,000, 12% of the income is deducted, 4. On the first $50,000 to $100,000, 15% of the income is deducted, 5. And on the rest of the income, 20% of that income is deducted. Henry makes an annual gross salary of $70,000, what is his net salary?
Answer:
$57,700
Step-by-step explanation:
The deductions are ...
for pension and employment insurance, (5+2.4)% of $70,000
= 0.074 × $70,000 = $5,180
for income tax, ...
8% of the 14,000 between $11,000 and $25,000 = $1,120
12% of the 25,000 between $25,000 and $50,000 = $3,000
15% of the 20,000 between $50,000 and $70,000 = $3,000
Then the total of deductions is ...
$5,180 +1,120 +3,000 +3,000 = $12,300
Net salary after these deductions is ...
$70,000 -12,300 = $57,700