Answer:
2,1,0 is the sequence of its terms
If p and q vary inversely and p is 2 when q is 21, determine q when p is equal to 6.
Answer:
[tex]q = 7[/tex]
Step-by-step explanation:
Given
[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation
[tex]p =2; q = 21[/tex]
Required
Find q when [tex]p = 6[/tex]
[tex]p\ \alpha\ \frac{1}{q}[/tex]
This becomes
[tex]p = \frac{k}{q}[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k = p * q[/tex]
Substitute [tex]p =2; q = 21[/tex]
[tex]k = 2 * 21[/tex]
[tex]k =42[/tex]
When [tex]p = 6[/tex], we have:
[tex]p = \frac{k}{q}[/tex]
[tex]6 = \frac{42}{q}\\[/tex]
Make q the subject
[tex]q = \frac{42}{6}[/tex]
[tex]q = 7[/tex]
Solve for x.
2 In (3x)=-4
Do not round any intermediate computations, and round your answer to nearest hundredth
What’s the product of four-fifths and two-and-five-twelfths?
Answer:
One and fourteen fifteenths
Step-by-step explanation
4/5 (2 15/2)
4/5 (29/12)
29/15=1 14/15
A cryptography expert is deciphering a computer code. To do this, the expert needs to
minimize the product of a positive rational number and a negative rational number, given
that the positive number is exactly 7 greater than the negative number. What final
product is the expert looking for?
What’s the answer?
9514 1404 393
Answer:
-49/4
Step-by-step explanation:
The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.
The product being sought is (7/2)(-7/2) = -49/4.
Answer: -49/4
Step-by-step explanation:
First set up two equations; a primary and a secondary equation.
Primary: P=xy
Secondary: x=7+y
Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.
Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2
Finally substitute y value into the secondary equation and solve for x:
x = 7 - 7/2
= 14/2 - 7/2
= 7/2
Multiply the two values together: -7/2 * 7/2 = -49/4
HELP MEEEEEEEEEEEEEEEEEEEEE!
What is 1 and 7/10
as a decimal?
0.17
1.7
th
0.7
7.1
1.07
ne positive integer is 4 less than twice another. The sum of their squares is 356. Find the integers
9514 1404 393
Answer:
16 and 10
Step-by-step explanation:
Let x and y represent the two integers.
x = 2y -4 . . . . . one is 4 less than twice another
x^2 +y^2 = 356 . . . . the sum of their squares is 356
We can solve these using substitution.
(2y -4)^2 +y^2 = 356 . . . . substitute for x
5y^2 -16y +16 = 356 . . . . simpify
5y^2 -16y -340 = 0 . . . . . put in standard form
(5y +34)(y -10) = 0 . . . . . . factor*
y = 10 . . . . . the only positive solution
x = 2(10) -4 = 16
The integers are 16 and 10.
_____
* A graphing calculator can provide useful insight as to the factors.
Answer:
16 and 10 is the answer.
Step-by-step explanation:
#OrganizeLearningRound 4.57438 to the nearest tenths place
4.57438 to the nearest tenths place is 5.
What is the solution to the equation below? Round your answer to two decimal places. 5•e^x=18 A. x = 36.60 B. x = 1.28 C. X = 9.78 Ο Ο D. X= 0.56.
Answer x=1.28
Answer:
x=1.28
Step-by-step explanation:
Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.
Write an equation to represent the situation.
What is Noah's fundraising goal? Show or explain how you found it.
Answer:
make shur your using fractions
54 60
x 100 cross multiply
54(100) 60(x)
5400 60x
divided both by 60
5400/60 60/60
90 1
= $90
then you go
54 60
90 100
and use a caculater to see if your answer is coorect
you just fowllow the steps to see if you get 90
Step-by-step explanation:
Solve for x.
5+3(4x - 1) = 14
Enter your answer in the box.
X=
Answer:
5+12x-3 = 14
12x = 14 -5+3
12x = 12
x = 1
Answer:
X=1. I did mental math. I am sure.
What is the factored form of x^2-x-20
Answer:
(x+4)(x-5)
Step-by-step explanation:
x²-x-20
But ax² + bx +c
product = ac = 1 × -20 = -20
sum = b = -1
Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)
Therefore:
x²-5x+4x-20
x(x-5)+4(x-5)
(x+4)(x-5)
Step-by-step explanation:
x^2-5x+4x-20
x(x-5)+4(x-5)
(x-5)(x+4)
If y=qx5 and if q=10 then what is y?
Please help me ASAP please
Answer:
Equation: 45 - 21 = s
The second answer is 24.
You can check by adding 24 + 21 which is 45.
9. Question
Which is a valid IP address?
128.42.64.78
A8:97:4F:6D:H6:0F
598.36.789
126.396.659.100
The length of a side and corresponding height of a triangle are (x+3) and (2x-5) given that area of triangle is 20cm^2. Find the value of x
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5
solve the expression 7x + 8, x=4
Answer:
36
Step-by-step explanation:
7x + 8
x = 4
So, 7(4) = 28
28 + 8 = 36
Pls help me pls it’s
Q) What percentage of sudents who passed the test completed the review sheet
A)
19/27*100
=70.37%
Nearest 10th of a percent
=70%
Natasha was thinking of a number. Natasha doubles it and adds 6.5 to get an answer of 79.4. Form an equation with
x
from the information.
Answer:
Let the correct number be x.
therefore,
x - 6.5 = 79.4
ASAP simplify and show work.
1. (x^-6)^-3
2. (2x^4)(8x^15)
3. (xy^6)(xy)^3
4. a^4b^0(a^8)
5. (x^2)^2(5x^2)^3
1) Answer:
[tex]{x}^{18} [/tex]
2) Answer:
[tex] {16x}^{19} [/tex]
3) Answer:
[tex] {x}^{4} {y}^{9} [/tex]
4) Answer:
[tex]a ^{12} [/tex]
5) Answer:
[tex]125 {x}^{10} [/tex]
A 25 foot ladder leans against a house. How far is the foot if the ladder from base if the building if the top of the ladder is 20 feet from the ground?
Answer:
C
Step-by-step explanation:
x^2 + 20^2 = 25^2
x^2 + 400 625
x^2 = 225
x = 15
Sam drew this 40° angle on his paper. What size angle should he draw to make a pair of complementary angles?
Answer:
52
Step-by-step explanation:
40(x)=52
Answer:
50°
Complentary angles are two angles that sum up to 90°
So 50+40=90
The label on the can of soup covers
about 354.2 square centimeters. What is the
height of the can
Radius : 4.7 cm
HELPP
Answer:
h = 12 cm
Step-by-step explanation:
Given that,
The area of the can of a soup, A = 354.2 cm²
Radius of the can, r = 4.7 cm
We need to find the height of the can. The formula for the volume of a cylinder is given by :
[tex]A=2\pi rh\\\\ 354.2=2\times 3.14\times 4.7h\\\\h=\dfrac{354.2}{2\times 3.14\times 4.7}\\\\h=12\ cm[/tex]
So, the height of the can is equal to 12 cm.
what's the answer to this question? (zearn)
Answer:
No. The den will have 8 times the volume of the bedroom.
Step-by-step explanation:
The volume of the bedroom:
9 * 5 * 7 = 315 cubic feet
The volume of the den:
(9*2) (5*2) (7*2)
18 * 10 * 14 = 2,520
2,520/315 = 8
An item costs $34 it has a sales tax
rate of 5%. What is the amount of
sales tax for that item?
tax
0.00
+/-
Answer:
$1.70
Step-by-step explanation:
34 x 0.05 = 1.70
$1.70 is the tax
Where can we use linear inequalities in real life?
Step-by-step explanation:
we can use it to solve age problems and Money problems e.t.c
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high. If the snail started on Monday will it reach the top of the cabin wall before you leave on Friday?
Answer:
Step-by-step explanation:
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.
The distance covered by the snail in 4 days from Monday to Friday morning is,
Distance = 4 days × 18 inches = 72 inches
Distance covered on Friday = 30 inches
Total distance covered = 72 inches + 30 inches = 102 inches
The total distance covered before you leave on Friday is 102 inches.
Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.
Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
L
Answer:
the no of liters required is 50.55 liters
Step-by-step explanation:
Given that
The car gas efficiency is 23.0 mi/gal
distance is 495 km
1 gal = 3.78 L
1 km = 0.6214 mi
We need to find out the no of liters of gas that would needed to complete a trip
So,
= (495 × 3.78 × 0.6214) ÷ (23)
= 50.55 Liters
hence, the no of liters required is 50.55 liters
What is the total surface area of the square pyramid?
240 square meters
280 square meters
310 square meters
380 square meters
Answer:
380 I belive! :))
Step-by-step explanation:
Correct me if I'm wrong! ((:
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red.
Answer:
You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.
Step-by-step explanation:
6 - 2 = 4
The 8 would stay the same
There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)
Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.