Which expression is represented on this number line?
Answer:
where's the number line??
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
Answer:
1.8 is the h of the rhombus
Answer:
4.8 cm
Step-by-step explanation:
Math- Lisa is buying a cover for her patio table. If the table is 5 ft on all sides, what is the area of the cover?
Answer:
25
Step-by-step explanation:
length times width
5 times 5
In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.
Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°
The function f ( x ) = 2 x ^2 − x − 4 models the shape of a ditch. What is the average slope over the interval −4 ≤ x ≤ 2?
Answer:
[tex]Rate = -5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]-4 \le x \le 2[/tex]
Required
Determine the average slope over the given interval
This is calculated as:
[tex]Rate= \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex]a = -4[/tex]
[tex]b =2[/tex]
So:
[tex]Rate= \frac{f(2) - f(-4)}{2 - (-4)}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{2 +4}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
Solving for f(2) and f(-4), we have:
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]f(2) = 2 *2^2 -2 - 4[/tex]
[tex]f(2) = 2[/tex]
[tex]f(-4) = 2*(-4)^2 - (-4) - 4[/tex]
[tex]f(-4) = 2*16 +4 - 4[/tex]
[tex]f(-4) = 32[/tex]
So, the equation becomes
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
[tex]Rate= \frac{2 - 32}{6}[/tex]
[tex]Rate= \frac{-30}{6}[/tex]
[tex]Rate = -5[/tex]
An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?
Answer:
798
Step-by-step explanation:
So, 21*{2*18 + (21-1)*2}/2
= 21*{36 + 20*2}/2
= 21*{36+40}/2
= 21*76/2
= 1596/2
= 798
Total number of seats is 798
Given that;Number of seats in first row = 18
Number of rows = 21
Each row added number of seats then previous = 2
Find:Total number of seats
Computation:Total number of seats = Sn = (n/2)[2a + (n-1)d]
Total number of seats = Sn = (21/2)[2(18) + (21-1)2]
Total number of seats = (21/2)[36 + (20)2]
Total number of seats = (21/2)[36 + 40]
Total number of seats = (21/2)[76]
Total number of seats = (21)(38)
Total number of seats = 798
Learn more:https://brainly.com/question/16668552?referrer=searchResults
Bubbles the fish is 4 feet below sea level. Swimmy the fish is 3 feet below sea
level. Which fish is closest to sea level? *
A: Bubbles?
B: Swimmy?
worth 25 points pls help me
Answer:
swimmy is closest to sea level
Pls help! I need answer.
Answer:
b = 98
Step-by-step explanation:
hope this helps . thanks
round 87.48 to the underlined place.
Solve for the given time.
A colony of 36,000 bacteria grows continuously at a rate of 12%. How many bacteria will there be in 2 years?
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12%, after 2 years there will be [tex]36000\cdot 1.12^2 = 45158.4[/tex] bacteria. Since you probably can't have part of a bacteria, you round to 45158.
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12°/• , after 2 years there will be 36000.
1.12 power of 2 = 45158.4 bacteria.
And you cant have part of a bacteria
you round it to
45158.
subtract 9 from 16 as an expression pls help
Answer:
16 - 9 = x
i thonk :0
or 16 - 9 = 7
Step-by-step explanation:
While waiting for a video game to download, you notice that
30
%
30%30, percent of
32
,
000
32,00032, comma, 000 kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?
F (x)= 5x-14 G (x)= 12x+8 H (x)= 62x-54 Dadas las funciones resolver las siguientes operaciones a. F (x)+ G (x) b. G (x)- (H (x)-F (x)) c. (G (x)-F (x)) (H (x)+G (x) d. (F (x)-H (x))/ (G (x)+ F(x) e. G (x) / H (x9
Answer:
a) [tex]17\cdot x -6[/tex], b) [tex]-45\cdot x +48[/tex], c) [tex]518\cdot x^{2} +1306\cdot x -1012[/tex], d) [tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex], e) [tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]
Step-by-step explanation:
Sean [tex]f(x) = 5\cdot x -14[/tex], [tex]g(x) = 12\cdot x + 8[/tex] y [tex]h(x) = 62\cdot x - 54[/tex]. A continuación, desarrollamos las siguientes operaciones:
a) [tex]f(x) + g(x)[/tex]
[tex](5\cdot x - 14) + (12\cdot x + 8)[/tex]
[tex]17\cdot x -6[/tex]
b) [tex]g(x) - [h(x)-f(x)][/tex]
[tex](12\cdot x + 8) - [(62\cdot x - 54)-(5\cdot x - 14)][/tex]
[tex]12\cdot x + 8 - (57\cdot x -40)[/tex]
[tex]12\cdot x +8 -57\cdot x +40[/tex]
[tex]-45\cdot x +48[/tex]
c) [tex][g(x)-f(x)]\cdot [h(x)+g(x)][/tex]
[tex][(12\cdot x + 8)-(5\cdot x -14)]\cdot [(62\cdot x -54)+(12\cdot x +8)][/tex]
[tex](12\cdot x +8 -5\cdot x +14) \cdot (62\cdot x -54+12\cdot x+8)[/tex]
[tex](7\cdot x +22)\cdot (74\cdot x-46)[/tex]
[tex]7\cdot x \cdot (74\cdot x - 46)+22\cdot (74\cdot x -46)[/tex]
[tex](7\cdot x)\cdot (74\cdot x) - 46\cdot (7\cdot x )+22\cdot (74\cdot x)-22\cdot (46)[/tex]
[tex]518\cdot x^{2}-322\cdot x +1628\cdot x -1012[/tex]
[tex]518\cdot x^{2} +1306\cdot x -1012[/tex]
d) [tex]\frac{f(x)-h(x)}{g(x) + f(x) }[/tex]
[tex]\frac{(5\cdot x - 14)-(62\cdot x - 54)}{(12\cdot x +8)+(5\cdot x -14)}[/tex]
[tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex]
e) [tex]\frac{g(x)}{h(x)}[/tex]
[tex]\frac{12\cdot x + 8}{62\cdot x - 54}[/tex]
[tex]\frac{4\cdot (3\cdot x +2)}{2\cdot (31\cdot x -27)}[/tex]
[tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]
Tylan sent 3809 text messages in January. In February he sent 3115.
Answer:
Ummmm what’s the question?
Step-by-step explanation:
I will edit after you tell me what your question is.
Btw God bless you.have a great day!
Step-by-step explanation:
if you're asking how many text messages he sent in those two months then he sent 6924 messages.
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
11. Which expression is equivalent to the expression shown below?
-2x + 5(3 + 2x)
a. 8x + 15
b. 53 + 4x
C. 4x + 15
d. 8 + 5x
Help anyone please god lord anyone please lord pleaseeeee
Please help this is due soon!!! :( Please explain with explanation and answer pls
Answer for A:
x = -56/31
Step-by-step explanation:
The total angle for a pentagon is 360°
100 + 20(-56/31) + 140 + 160 - 5(-56/31) + 16(-56/31) + 16 = 360
100 + -36.1290322581 + 140 + 160 + 9.03225806452 + 28.9032258065 + 16 = 360
If you copy that into a calculator you will get
360°
Answer for B:
The angle for C, rounded to the nearest tenth, is 44.9°
Which inequality is represented by the graph below? O y < 2x - 3
Oy > 2x - 3
Oy<-3x + 2
Oy> -3x + 2
Answer:
Oy > 2x - 3
Step-by-step explanation:
because it has > so with will be on the left side
I also recommend Desmos because it helps you with these questions.
and that's what I used.
The inequality represented by the graph below is y > 2x - 3.
Option B is the correct answer.
What is inequality?An inequality is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
We have,
To graph an inequality, you need to identify the equation of the line or boundary that separates the two regions defined by the inequality.
This boundary can be a line, a curve, or even a plane in three dimensions.
Next, you need to determine which region to shade, based on whether the inequality symbol is less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).
If the inequality symbol is less than (<) or greater than (>), the boundary line should be drawn as a dashed line since the points on the line are not included in the solution set.
Then, shade the region above the line if the symbol is greater than (>), or below the line if the symbol is less than (<).
If the inequality symbol is less than or equal to (≤) or greater than or equal to (≥), the boundary line should be drawn as a solid line since the points on the line are included in the solution set.
Then, shade the region above the line if the symbol is greater than or equal to (≥), or below the line if the symbol is less than or equal to (≤).
Finally, label the shaded region as the solution set and write the inequality symbol next to it.
From the given graph we see that,
y > 2x - 3 has the same graph.
Thus,
The inequality represented by the graph below is y > 2x - 3.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ7
the width of a rectangle is 4 feet, and the diagnal length of the rectangle is 13 feet,which measurment is the closest to the length of this rectangle feet?
A.9ft
B.17ft
C.12.4ft
D.13.6ft
Answer:
w = 4 ft
diagonal= 13 ft
l= 13^2-4^2=169-16 = sq root 153
=12.4 ft (approx)
Wallpaper was applied to one rectangular wall of a large room. Width: 42 ft length:25.5 ft. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?
Answer:
$825869.52
Step-by-step explanation:
Given that,
Width of the rectangle, b = 42 ft
Length of the rectangle, l = 25.5 ft
The area of a rectangle is given by :
A = lb
So,
A = 42 ft × 25.5 ft
A = 1071 ft²
The total cost of the wallpaper was $771.12 . So,
Cost = 1071 × 771.12
= $825869.52
So, the cost of wallpaper per square foot is equal to $825869.52.
The relationship between x and y is represented by the table below. Which equation represents this
table?
Х
y
1
6
3
10
4
12.
5
14
A y = x +5
By = 2x + 4
C y = 3x + 3
D
Not Here
what is the scientific notation of 0.0000003
Answer:
This is ur answer.
Hope.it helps!!!
help asap schools almost done pls help me
Answer:
exit ticket
1.) 6+8x
2.) 18+6x^5
homework module 4 lesson 6
1.) 78
2.) 61
3.) 24
Step-by-step explanation:
Plzz help ..........
Answer:
AB and CD - Parallel Lines
EF and CD - Perpendicular Lines
GH and EF - Neither Parallel nor Perpendicular Lines
Let me know if this helps!
Answer:
EF and CD ------- perpendicular lines
AB and CD --------parallel Lines
GH and EF --------- neither parallel nor perpendicular lines
Step-by-step explanation:
Parallel lines are lines that do not ever intersect
Perpendicular lines create 90 degree angles
neither is just neither
13. Find the measures of the numbered angles.
Answer:
8=117 7=63 9=63
Step-by-step explanation:
180-117 = 63
7 and 9 = 63
A straight line=180
Angles across from each other are the same
9 and 7 are the same, and 117 degrees and 8 are the same
Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?
Answer:
maybe $825
Step-by-step explanation:
Im not sure but I think Its accurate
Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?
Answer:
$7.07
Step-by-step explanation:
35.35/5=7.07
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 months
PLEASE HELP
Select the mean, median, mode and range of the following list of values.
Answer:
The median is three, the mean is 3.5, the range is 6 and there is no mode.
Step-by-step explanation: