Answer:
3 -14x =17
-14x = 17 - 3
-14x = 14
x = 14/-14 = 1/-1 = -1
∴ answer = -1
hope this answer helps you.....
please mark as brainliest... thank you!
The first three terms of a geometric sequence are as follows.
2, -10, 50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answer:
-250, 1250
Step-by-step explanation:
The pattern is to multiply by -5.
2,-10, 50, -250, 1250
40 points!
You are framing a picture with a frame of equal width on each side.
a. Write a polynomial that represents the area of the picture including the frame
b. Find the area of the picture including the frame when the width of the frame is 2 inches
Answer:
Part A)
The polynomial is:
[tex]A=4(x+8)(x+10)[/tex]
Or, expanded:
[tex]A=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.
Step-by-step explanation:
Part A)
For solely the picture, the width is 16 inches, and the length is 20 inches.
If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.
Likewise, the new length will be (20 + 2x) inches.
The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:
[tex]A=(16+2x)(20+2x)[/tex]
To simplify calculations, we can factor out a two from both factors. Thus:
[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]
Expanded, this will be:
[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two, x = 2. Then the area is:
[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]
The area of the picture including the frame will be 480 square inches.
Find the angle relationship in the table
Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear
Step-by-step explanation:
PLS HELP | Shen invested in a savings bond for 4 years and was paid simple interest at an annual rate of 6%. The total interest that he earned was $2160. How much did he invest?
Answer:
Shen invested $9000.
Step-by-step explanation:
The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.
Here, $2160 = P*0.06*(4 yrs), so:
$2160
P = ----------------- = $9000
0.24
Which list orders the numbers from least to greatest
I need an answer ASAP!!
Answer:
x = 8
Step-by-step explanation:
because wy bisects XZ , XY and ZY are equal so ..
2x+3=3x-5
then x is 8❤
Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 6 years?
Answer:
y=200(1.13)^6= 416.39
Step-by-step explanation:
What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
A) 5/2 and 25/4
B) 5/2 and 7/4
C) 7/2 and 25/4
D) 7/2 and 7/4
Given:
Base of the larger figure = 30 yd
Base of the smaller figure = 12 yd
To find:
a) The ratio of the perimeters of the larger figure to the smaller figure.
b) the ratio of the area of the larger figure to the smaller figure.
Solution:
a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.
The given figures are similar. So, the ratio of the perimeters is:
[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]
b) The ratio of area of similar figures is equal to the ratio of squares of their sides.
[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]
[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]
Therefore, the correct option is A.
The radius of a circular musical drum is 70 centimeters. Find its area. Use = 3.14 (PLEASE DO NOT PUT UNNECESSARY LINKS)
Answer:
it is basically the radius times 2 and then times 3.14
Step-by-step explanation:
439.6! :D
Need help asap !!!! It also said round to the nearest tenth
Answer:
4524.9
Step-by-step explanation:
Area of a parallelogram:
A = bh
A = 63 x 90
A = 5670
Area of half-circle:
A = (πr²)/2
A = (π x 27²)/2
A = (π x 729)/2
A = 729/2π
Combined:
5670 - 729/2π
4524.9
Please Help ASAP!!!!!!!!
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with y- intercept c = - 4 → A
find missing exponents
Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
2(x−3)=10x−6−8x
1 solution
No Solution
Infinite Solutions
Answer:
Infinite Solutions
Step-by-step explanation:
Simplify both sides and you will see they are equivalent meaning that it has infinite solutions
DO THESE TWO PAGES
I gain: a decent grade on my rigged extra school
You gain: 25 points and brainliest
Answer:
19)A 20)A 21)A 22)C 23)D 24)D 25)B 26) A 27)B
28) A 29)B 30)A 31) The surface area of Tina's shoebox is 184a..
u can check the answers if u wantt !! :)
The diameter of a spherical basketball is 10 inches.
What is the volume of the basketball2
Give the exact solution.
Volume
I NEED THE ANSWER FAST HELPP PLEASE
Answer:
Step-by-step explanation:
Rounded volume: 524 cubic inches.
Step-by-step solution:
The formula for the volume of a sphere is:
Where r is the radius of the sphere.
The radius is half the diameter, therefore it is r=10/2=5
We plug it into the formula and we get:
Then we get:
If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .
It wants me to find m∠2 from this
Answer:
Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
This is a kite.
The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.
m∠2=90°
Hope I helped.
Jordan bought 3 bottles of water at the amusemen park. If the total cost of the water was $6, which equation could be used to find the cost of each bottle of water?
PLEASEEE HELP ME I NEED THIS FOR MY EXAMMM
(I will give brainiest) Chelsea has just started her own flower business appropriately named Flowers by C.
She knows that she needs to order carnations and roses for her grand opening in order to make
bouquets and vases to sell. She can order a maximum of 300 carnations and 250 roses. The following inequalities represent the total number of bouquets and vases she can make given the
orders she places. Let x represent the number of bouquets and y represent the number of vases.
If she wants to make 18 vases, what is the maximum number of bouquets she can make?
Answer:
x < -3/5y+ 30
Step-by-step explanation:
x < -3/5y+ 30 for the first one
addboth sides by 6y then divideboth sides by 10
whats the area of the shaded region
Answer:
36 meter square
Please mark my answer as brainliest for further answers:)
HELP ASAP THIS IS DUE IN A LIVE CLASS DONT GUESS ITS QUESTION 4
Answer:
2 answers
Step-by-step explanation:
factor: 2π(hr+π)
evaluate: 2π(hr+π)
hope that helps
Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?
A. y = - 2/3 x + 10
B. y = - 2/3 x +2.7
C. y = - 2/3 x + 7
D. y = - 2/3 x + 13
pls explain the answer if possible ^^
Answer:
Option C
Step-by-step explanation:
If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.
Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:
[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]
10 does equal 10, so this is a true statement. Option C is the right answer.
What is the reference angle of 255°?
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
How do I calculate the volume of this prism?
donner l'écriture scientifiques des nombres ci-dessous
500 000 000=
650 000=
58 400 000 000=
0,000 6=
0,000 032=
0,000 000 072 3=
Answer:
Step-by-step explanation:
salut :
500 000 000= 5× 10^8
650 000= 6,5 ×10^4
58 400 000 000= 5.84 ×10^8
0,000 6= 6×10^-4
0,000 032= 3.2 ×10^-4
0,000 000 072 3= 7.23 × 10^-8
0,000 000 072 3=7,23×10^-7
A person places $1380 in an investment account earning an annual rate of 8.6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years.
Answer:
V = 3261.16
Step-by-step explanation:
Given:
P = 1380
r = 8.6% or 0.086
t = 10
Work:
[tex]V=Pe^{rt}\\\\V=1380e^{0.086*10}\\\\V=1380e^{0.86}\\\\V=3261.16[/tex]
I just don’t get it, please help me.
Answer:
Answer in the image below \/
Step-by-step explanation:
Solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
[tex]\displaystyle x \approx 16.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate: [tex]\displaystyle x = 16.4849[/tex]Round: [tex]\displaystyle x \approx 16.5[/tex]9. State Bank pays 5.5 percent interest compounded semiannually on regular
savings accounts. Iva Howe deposited $2,800 in a regular savings account for
2 years. She made no other deposits or withdrawals during the period. How
much interest did her money carn?
help this is khan academy
Answer:
20
Answer:
20
Step by step:
v = l × w × h
v = 2 × 2× 5
v = 4 × 5
v = 20
I sincerely need help because I don’t understand. please write an equation and how to answer AT LEAST one question.