Answer:
x < 30
Step-by-step explanation:
Given the inequality expression that denotes the statement as;
30x+100 < 1000
Subtract 100 from both sides
30x + 100 - 100 <1000 - 100
30x < 900
Divide both sides by 30
30x/30 < 900/30
x < 30
Hence the required solution is x < 30
The number of employee the manager can afford a day is x < 30.
The given parameters:
Amount spent a day for operating cost = $1,000The operating cost of the store, = $100 per dayAmount paid to the employee = $30 per dayThe inequality of the number of employee the manager can afford a day is calculated as follows;
30x + 100 < 1000
collect similar terms together;
30x < 1000 - 100
30x < 900
divide both sides of the equation by 30;
[tex]x <\frac{900}{30} \\\\x <30[/tex]
Thus, the number of employee the manager can afford a day is x < 30.
Learn more about solution to inequality here: https://brainly.com/question/24372553
Could someone help please I'm stuck and need desperate help???
Answer:
9/64π
Step-by-step explanation:
The area of a circle is given as :
Area = πr²
The diameter of the circle = 3/4 in
Radius of circle = diameter / 2 = (3/4) ÷ 2 = (3/4) * 1/2 = 3/8 in
Area = π(3/8)²
Area = π * 9/64
Area = 9/64π
lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval
Answer:
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=8[/tex]
Mean [tex]\=x=4.1602[/tex]
Standard deviation [tex]\sigma=0.001gram[/tex]
Generally 99\% confidence from table is mathematically given by
[tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]
[tex]P(-z<x<z)=0.99[/tex]
[tex]Z_{\alpha/2}=2.576[/tex]
Generally the equation for 99\% confidence level (CI) is mathematically given by
[tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
A salesperson at DHL Department Store earns $415 per hour and is paid biweekly. FOr the last pay cycle, a sales rep earned 5% commission on sales amounting to $89,500. Calculate their basic wage if they worked for 40 hours each week. please help me, Thanks
Answer:
=$21075
Step-by-step explanation:
Given data
Earnings =$415 per hour
Commission =5%
Sales =$89500
Time =40 hours
Let us find the commission
5/100*89500
0.05*89500
=4475
Let us find the amount earned in 40 hours
40*415
=16600
Total
=16600+4475
=21075
Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.
Answer:
The average rate of change between x = 2 and x = 4 is of 4.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x) in an interval [a,b] is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
In this question:
[tex]f(x) = 4x - 2, b = 4, a = 2[/tex]
Thus:
[tex]f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14[/tex]
[tex]f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6[/tex]
Average rate of change:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
[tex]A = \frac{14-6}{4-2}[/tex]
[tex]A = \frac{8}{2}[/tex]
[tex]A = 4[/tex]
The average rate of change between x = 2 and x = 4 is of 4.
Find lim PLEASE I NEED HELP ASAP !!!!
Computing the limit directly:
[tex]\displaystyle\lim_{h\to0}\frac{f(2+h)-f(2)}h=\lim_{h\to0}\frac{((2+h)^2+(2+h)+1)-7}h\\\displaystyle=\lim_{h\to0}\frac{5h+h^2}h\\=\displaystyle\lim_{h\to0}(5+h)=\boxed{5}[/tex]
Alternatively, you can recognize the limit as being equivalent the derivative of f(x) at x = 2, in which case differentiating and plugging in 2 gives
f'(x) = 2x + 1 => f' (2) = 5
The points (-18, 15) and (-20, 15) lie on a circle with a radius of 1.
Find the coordinates of the center of the circle.
Answer:
Step-by-step explanation:
eq. of any circle with center (h,k) and r=1 is
(x-h)²+(y-k)²=1²
points (-18,15) and (-20,15) lie on it.
(-18-h)²+(15-k)²=1
(15-k)²=1-(-18-h)²
and (-20-h)²+(15-k)²=1
(15-k)²=1-(-20-h)²
so 1-(-18-h)²=1-(-20-h)²
-(18+h)²=-(20+h)²
324+36h+h²=400+40h+h²
40h-36h=324-400
4h=-76
h=-19
(15-k)²=1-(-18-(-19))²=1-1=0
k=15
so center is (-19,15)
Determine the value of x
1)70
2)140
3)40
4)280
Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.
Answer:
18.67 ft
Step-by-step explanation:
|\
| \
| \
h | \ 20 ft
| \
| \
|-- 69° \
---|----------------
For the 69° angle, h is the opposite leg, and 20 ft is the hypotenuse.
sin A = opp/hyp
sin 69° = h/20
h = 20 * sin 69°
h = 18.67
Answer: 18.67 ft
3(7x)-2(4-x) simplify the expression
Answer:
23x - 8 is the answer in simplify that expression
Answer:
[tex]3(7x)-2(4-x)[/tex]
[tex]21x-2(-x+4)[/tex][tex](21x+2x)-8[/tex][tex]23x-8[/tex]-------------------------
hope it helps...
have a great day!!
Determine if the two triangles are congruent. If they are State how you know. NO LINKS!!!
Problem 25
These triangles are congruent.
The reasoning is the AAS congruence theorem. We have two pairs of congruent angles, as shown by the arc markings, and a pair of congruent sides. The sides are not between the angles. That means AAS is slightly different from ASA. The order matters.
=====================================================
Problem 26
The triangles are not congruent
Why not? Well it all comes down to the angle placement. For the triangle on the right side, the arc is between the shared segment and the segment with the double tickmarks. The other arc is not in the proper corresponding location to be able to use SAS. It would need to be adjacent to the arc on the right for us to use SAS.
If it's hard to visualize what I mean, refer to the diagram below.
=====================================================
Problem 27
The triangles are congruent by SAS
The angles aren't marked, but recall that vertical angles are always congruent. So you could add in angle markers if you wanted, to help complete the diagram. The tickmarks of course tell us which segments are the same length. The angles are between the segments.
====================================================
Problem 28
The triangles are congruent by SSS
Like before, the tickmarks tell us which sides are the same length. So the tickmarks say that we have two pairs of congruent sides. The overlapping sides or shared sides are the third pair of congruent segments. So in reality, we have three pairs of congruent sides. It might help to break up the figure into two separate triangles.
[tex] \frac{9}{11} = 0. |?| |?| [/tex]
list the digits that repeat
Step-by-step explanation:
9/11=0.81818181....
the digits that repeat is 81
Answer:
.81 repeating
Step-by-step explanation:
9/11 = 0.81 repeating.
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GET IT RIGHT
Answer:
neither, since the gradients are not the same, as well as the c value
Step-by-step explanation:
First line : y = -4x + 7
Second line : y = -4x + 3
We know that the standard form of equation of a line is y = mx + c
where :
m is the slope
c is the y intercept
Comparing both line equations with the standard form, we can notice that :
⊕ Slope of the first line = -4
⊕ Slope of the second line = -4
We know that Slopes of parallel lines are same
So, We can conclude that the given two lines are parallel to each other
Answer : Parallel because the slopes are the same
(2x-3)(x+4)=2x2+_-12
Answer:
_ = 5
Step-by-step explanation:
Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour?
H Н
Which two statements are both true?
Di Ta and KFT
EH I TĞ and KT | TG
Di I K and Di 1 ET
ET I TĞ and KF | DI
Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
Need help for this please
Answer:
i think 471.24cm³?
i just found the volume for both the cylinder and cone and added them together.
George buys a pizza. He eats 3/8 of the pizza for lunch and 1/4 of the pizza for dinner. What fraction of the pizza has George eaten?
Answer:
5/8
Step-by-step explanation:
Make denominators equal
1/4 = 2/8 (Multiply both sides by 2 to get a common denominator)
2/8 + 3/8 = 5/8
Simplify by combining like terms. − 5 p + 4 m − 2 p + m
Answer:
-7p +5m
Step-by-step explanation:
− 5 p + 4 m − 2 p + m
Combine like terms
-5p -2p +4m +m
-7p +5m
Answer:
-7p+5m
Step-by-step explanation:
See image below:) :)
Can someone please help me with this problem?
Answer:
C 6
Step-by-step explanation:
Pythagoras
c² = a² + b²
117 = x² + (x+3)² = x² + x² + 6x + 9 = 2x² + 6x + 9
=>
108 = 2x² + 6x
54 = x² + 3x
0 = x² + 3x - 54 = (x-6)(x+9)
just think by what numbers can we divide 54 without any remainder (so that when multiplying we get 54) ? and which pair of these have a difference of 3 (so that with +/- combination we get "3x" in the multiplication)?
the solutions for x are the 2 numbers that would make one of the bracket expressions 0, as this turns the whole expression to 0.
x = 6 and x = -9
a negative number does not make any sense for a side length.
so, the only possible solution is x = 6
What is the domain of function p?
p(x) = /x-1+2
Answer:
A.
Step-by-step explanation:
a strange question, as 2 answer options are actually possible, as they define valid domains for this function.
and if the range of the function would include imaginary numbers ("i"), all 4 would be correct.
the problem statement has to be much more precise. you can tell your teacher that.
but I assume, we base just on real numbers and want the biggest domain range. and that is A.
A. for x=1 we get sqrt(0) + 2, which is absolutely valid.
B. a square root of a negative number is undefined in the works of real numbers. we would need "i", the imaginary numbers, to make this a valid function.
C. is also valid. no bad values and expressions involved. it is just a snake range than A.
D. the same a for B.
The domain of the function [tex]f(x) = \sqrt{x - 1} + 2[/tex] is [tex][1,\infty)[/tex]
How to determine the domain?The function is given as:
[tex]f(x) = \sqrt{x - 1} + 2[/tex]
Set the radicand greater than or equal to 0
[tex]\sqrt{x - 1} \ge 0[/tex]
Take the square of both sides
[tex]x - 1 \ge 0[/tex]
Add 1 to both sides
[tex]x \ge 1[/tex]
This means the possible values of x starts from 1 till infinity
Hence, the domain of [tex]f(x) = \sqrt{x - 1} + 2[/tex] is [tex][1,\infty)[/tex]
Read more about domain at:
https://brainly.com/question/1770447
Nathan is collecting aluminum cans for charity. One empty 355 ml can weighs about 17 g. It takes 59 cans to get about 1 kg of 100% recyclable aluminum.
Over one month, he collected 1978 cans.
What is the mass, in kilograms, of these cans?
Answer:
33.5 kg
Step-by-step explanation:
Each 59 cans are about 1 kg.
He collected 1978 cans.
How many times 59 cans did he collect?
1978/59 = 33.5
He collected 1978 cans which is 33.52 times 59 cans, so he collected 33.5 kg
Sung Lee invests $3,000 at age 18. He hopes the investment will be worth $9,000 when he turns 25. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answer:
.169
Step-by-step explanation:
I hoped I helped you solve sorry if I'm wrong
A card deck for a board game has 20 cards, of which 4 are red, 6 are blue, and 10 are purple.
What is the probability of randomly selecting a blue card, then a purple card, without replacement?
Answer:
6/20 or in simplification, 3/10 would be the correct answer.
30% would also be correct :)
And 0.3
help? (the last part of it “what is rhe shortest name lengths” is what i need help) :) (i mark brainlist)
Answer:
8
Step-by-step explanation:
eight letters
there is only one who has 8 letters in the name
What is the area and perimeter of the triangle
Answer:
Area = 20yd
Perimeter = 23 yd
Step-by-step explanation:
Area = 1/2 ×bh
b, which I the base = 10yd
h, which is the height = 4yd
Note: 5yd is the base because when you turn the triangle you will see that 10yd is the base and 5yd is the height not 8yd because 8 yd is not a straight line at a right angle
Therefore;
Area = 1/2× 10 × 4
= 1× 5 × 4
= 20yd
Perimeter = 8yd +5yd +10yd
= 13yd + 10yd
= 23yd
need help asap! The graphs below have the same shape. what is the equation of the red graph?
no links
Answer:
B. [tex]g(x) = x^{3} - 5[/tex]
Step-by-step explanation:
The graph of f(x) is the graph of g(x) translated 5 units downwards.
Can y’all help on question 29?!
Answer:
Option C: 20 cm^2
Step-by-step explanation:
Essentially, surface area is just area added up. In this question, there are 4 same rectangles and 2 squares with the areas given. So you have to figure out the total.
Since there are 4 rectangles and each of them has an area of 4cm just multiply 4 by 4 to get 16.
Then, since there are 2 squares with an area of 2 cm each just multiply 2 by 2 to get 4.
Add both numbers, 16 + 4 = 20 and you get your answer.
The total surface area would be 20cm^2.
How many kiloliters are there in 19,000 milliliters?
A. 19
B. 1.9
C. 0.019
D. 0.0019
Answer:
C
Step-by-step explanation:
To convert milli- to kilo-, move the decimal point six places to the left
What is the sum of the polynomials?
(6x+7+x2)+(2x2-3)
-x^2 +6x+4, 3x^2 +6x+4, 9x+4, 9x^2 +4
9514 1404 393
Answer:
(b) 3x^2 +6x+4
Step-by-step explanation:
(6x+7+x^2)+(2x^2-3)
= (1 +2)x^2 +(6)x +(7 -3) . . . . combine like terms
= 3x^2 +6x +4
Answer:
3x ² + 6x + 4
Step-by-step explanation:
( 6x + 7 + x² ) + ( 2x² -3 )
Remove unnecessary parantheses6x + 7 + x² + ( 2 x² - 3 )
6 x + 7 + x² + 2x ² - 3
subtract the numbers6 x + 7 - 4 + x² + 2x²
collect like terms6x + 4 + 3x²
use the commutative property to reorder the terms3x ² + 6x + 4