What is the solution to the inequality 21x - 12x _< 54
Answer:
if the inequality symbol is ≤ then the answer is x ≤ 6. If the inequality symbol is < then the answer is x < 6.
Step-by-step explanation:
Hope this helped
Simplify. Rewrite the expression in the form x^n (x^2)^{4}
Answer:
x^8
Step-by-step explanation:
(x^2)^{4}
We know a^b^c = a^(b*c)
x^(2*4)
x^8
Answer:
x^8 <33
Step-by-step explanation:
Select all that apply.
The following graph shows an ellipse that suffered several transformations. Which of the following two sets of combinations of transformations could map ellipse 1 into ellipse 2? You may choose more than one correct answer.
Translation 3 units up and 7 units to the right
Reflection along the y-axis and translation 3 units to the left
Rotation of 90° clockwise by the origin O, and translation 2 units to the left
Reflection along y = -x, and translation 6 units to the right
Answer:
Hello,
Answer :Rotation of 90° clockwise by the origin O, and translation 2 units to the left
Step-by-step explanation:
One angle of a parallelogram measures 63°. What are the measures of the other three angles in the parallelogram?
opposite angles of a llgrm are equal.
ABCD is a llgrm.
let angle A = 63 degree
so opposite angle of A is C is also 63.
let angle B=x degree =angle D
sum of all angles of a llgrm is 360 degree
angle A + angle B + angle C + angle D=360
63+x+63+x=360
126+2x=360
2x=360-126
x= 134/2
x=67
so the other angles are
A=63 B =67 C = 63 D = 67
All credit goes to
bijaymourya8114
A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
width of the rectangle in units?
Answer:
P = 3
Step-by-step explanation:
L = 4*w
P = 27 + w
P = 2*L + 2*w = 27 + w
2L = 2*(4w) = 8w
Put that into the perimeter formula (the first one.)
P = 8w + 2w = 27 + w
10w = 27 + w Subtract w from both sides
9w = 27 Divide by 9
w = 27 / 9
w = 3
You should find the Length just so you can check it.
L = 4w
L = 4*3
L = 12
Check
P = 2L + 2w
P = 2*12 + 2*3 = 30
P = 27 + w
P = 27 + 3
P = 30 and everything checks.
sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answer: Around 68.0858 m
Step-by-step explanation:
Set the height of 37°-53°-90° triangle as xSet the height of 50°-40°-90° triangle as yThe horizontal side both triangles share = 35To find x To find y
[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex] [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]
To find the height of the building, add the x-value and y-value:
[tex]x+y=26.3744+41.7114=68.0858[/tex]
I hope this is correct o_o
The expression 12y + 30 represents the area of wall painted blue. HURRY PLEASE!!!!!
Answer:
6 and (2y+5)
Step-by-step explanation:
If a person invests $190 at 8% annual interest, find the
approximate value of the investment at the end of 10 years.
Answer:
$410
Answer From Gauth Math
Step-by-step explanation:
This the problem of compound interest
If any amount P is invested at rate of r% per year then its value after n years is given by
amount =
______________________________
Given
p = $190
r =8%
n = 10 year then
Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?
Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly
(see graph, where red is Pepe and blue is Leo)
Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have:
Pepe and Leo deposit money into their savings accounts at the end of each month.
From the table, we can plot a graph on a coordinate plane.
As we can see in the graph:
Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.
Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ5
Please help explanation if possible
Answer:
y<x+5
Step-by-step explanation:
Inequalities are just like equations with equals signs.
Using that y intercept you use on the graph you can input it as b in the y=mx+b slope intercept equation.
On this line, the y-intercept is 5. If it were a regular equation with the slope of 1. m=1 and b=5 the answer would be y=x+5. The inequality doesn't do much when looking at the graph (besides the shading) so the inequality is y<x+5.
complete the statements about the closure of sets
Answer:
Step-by-step explanation:
The first box is 'not closed'
Second is ' an element'
Third = 'closed' and last is 'an element'.
ASAP!! PLEASE Will mark the brainliest answer If a + b = 7 and ab = 12, then find the value of a2- ab+ b2 and a3+b3
Answer:
13 and 91
Step-by-step explanation:
(a + b)² = a² + 2ab + b² , substitute values
7² = a² + 2(12) + b²
49 = a² + 24 + b² ( subtract 24 from both sides )
25 = a² + b²
Then
a² - ab + b²
= a² + b² - ab , substitute values
= 25 - 12
= 13
-------------------------------------------
a³ + b³ = (a + b)(a² - ab + b²) ← substitute values
a³ + b³ = 7 × 13 = 91
BOYS AND GIRLS, HELP ME PLEASE!!
5,6,7,8 PLEASE
factor this examples
Answer:
5) 4а²+8ас=4а(а+2с)
6) 3m²-6mn=3m(m-2n)
7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)
8) ab+ac+xb+c=b(a+x)+c(a+1)
PLEASE ANSWER, DUE IN 10 MINUTES!!!!
Answer:
hello,
Step-by-step explanation:
height=23*tan(30°)=0.56*23=12.88 (ft)
Need helppppp asappppppp
Answer:
Step-by-step explanation:
What goes in the green box? Thank you :)
Answer:
The green box would be [tex]\frac{1}{8}[/tex].
Step-by-step explanation:
[tex]\frac{1}{2^{3}} = \frac{1}{8}[/tex]
Answer:
Step-by-step explanation:
R.A. = 50(1 - .5)^3
your question askes for the decay factor "green box"
that number is 1/2 (.5)
if wu feed cat 1 time and got $5 so how much wu will earn over the winter if he feed the cat 13 times
Answer:
65
Step-by-step explanation:
1=5
13=x
1x=5x13
1x=65
divide both sides by 1
x=65
PLEASE HELP ME PLEASE PLEASE
Torren deposits $4500 in an account earning 2% interest, compounded
annually. The equation that represents this situation is:
A(n) = 4500(1 + 0.02)" - 1
How much will he have in the account at the beginning of year 9? Round your
answer to the nearest dollar.
An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The expression is;
[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]
At the beginning of 9-year value of n is 9,substitute the value to get he amount;
[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]
Hence, option D is corect.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ1
Write the gradient and the y intercept of the line y=-2x +4
Answer:
[tex]{ \bf{gradient = { \boxed{ - 2}}}} \\ \\ { \bf{y - intercept = { \boxed{4}}}}[/tex]
A roof repairer works out that he will need to work with a colleage charges $20 per hour. In the end, they took 6 hours to fix the roof.
a. Write an expression with parentheses to describe how much the homeowner ownes for labor.
b. Evaluate your expression to calculate the cost of the labor.
Answer:
a. 20h = m
b. $120
Step-by-step explanation:
We know what they charge per hour so if we didn't have the number of hours they worked we would write the equation as 20h = m (h = hours, and m = money made). Since we know the number of hours they worked, we can substitute h with 6 and find m.
20(6) = m
120 = m
Best of Luck!
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
with $12
Answer:
8
Step-by-step explanation:
24 bottles = 16 dollars!
? bottles = 12 dollars
Note:
In these type of Questions, find out any dollars you could get with 1 bottle
or in simple terms, (first find the unit Rate)
24/16 = 1.5
1 bottle = 1.5 dollars
? bottles = 12 Dollars?
12/1.5
= 8
I hope that helps! Have a wonderful day!A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Answer:
Hello,
Step-by-step explanation:
Part A:
Yes
Since
y=f(x)
f(0)=4
f(1)=7 : f(1)=f(0)+1*3
f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3
f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3
...
f(9)=31=28+3=f(8)+3=f(0)+9*3
f(n)=f(0)+n*3=4+n*3
Part B: y=3x+4
Part C: slope=3 , y-intercept=4
The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)
y-intercept indicate the original height of the plant.
489
X
96°
x =
degrees
Answer:
x=144°
Step-by-step explanation:
To work out x, you have to find the other angle in the triangle.
Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.
48+96=144°
180-144=36°
Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.
180-36=144°
x=144°
Hope this helps :)
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
So,[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]
The measurements of a triangle are given. Is there exactly one triangle that can be formed using the given measurements? If so, identify the appropriate triangle congruence postulate.
∆ABC : m ∠A = 90°, AB = 15, AC = 15
A)No, More than one triangle could be made with these measures
B)Yes, SSS congruency
C)Yes, ASA congruency
D)Yes, SAS congruency
no, more than one triangle could be made with these measures
sss
1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.
a. What is the explanatory variable (independent variable)? (1 point)
b. What is the response variable (dependent variable)? (1 point)
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Answer:
a. What is the explanatory variable (independent variable)? (1 point)
Number of fans sold.
b. What is the response variable (dependent variable)? (1 point)
Outside temperature.
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.
Step-by-step explanation:
I got it right on AP3X. Hope this helps!
2.5 x 10^8/ 7.5 x 10^2 i need the answer to this in scientific notation lol, thanks :)
Answer: 3.3 * 10^5
This is approximate. The more accurate value is 3.333 * 10^6 but even that isn't exact because the '3's after the decimal point go on forever
===========================================================
Work Shown:
(2.5 * 10^8)/(7.5 * 10^2)
(2.5/7.5) * 10^(8-2)
0.3333 * 10^6 .... this is approximate
3.333 * 10^(-1) * 10^6
3.333 * 10^(-1+6)
3.333 * 10^5
3.3 * 10^5
help please...what is the locus of the midpoints of all chords that can be drawn from a given point on a circle with a radius of 6. be exact with your answer.
Answer:
the answer is a
Step-by-step explanation:
sory lawl
i mean e
answer e!
good luck w summer geometoery
Can someone help me with this plz plz pls
56/11=5.09090909090.......
50/9=5.5555........
7/9=0.777777.......
Complete to get an equal ratio
3x/y = ? /2y
Answer:
6x
Step-by-step explanation:
3x/y=x/2y
Since 2y is 2X greater than y, 6x is 2X greater than 3x.
So,
The answer is 6x.
Can somebody help me with this question
Answer:
900°
Step-by-step explanation:
The interior angles sum = 180° ( n - 2 )
~~~~~~~~
n = 7
180° ( 7 - 2 ) = 900°
Answer:
900 degrees
Step-by-step explanation:
just apply the formulas discussed in class !
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n−2)×180∘ (where n is the number of sides)
in our case we have 7 sides.
so, we could split this polygon into 5 triangles.
each of these triangles would have an angle sum of 180°.
so, the angle sum of the polygon is
5×180 = 900°
