Answer:
for (−4/5)x + 3/10 < 8/10: solution is x > -5/8
for −4/(5x) + 3/10 < 8/10: solution is x > -8/5
Step-by-step explanation:
I'm not exactly sure if you mean -4 divided by 5x or (-4/5)x, so I've done both! :)
[tex]-\frac{4}{5}x+ \frac{3}{10} < \frac{8}{10}[/tex]
subtract 3/10 from both sides: [tex]-\frac{4}{5}x < \frac{5}{10}[/tex]
Divide both sides by 4/5: [tex]-x < \frac{5}{8}[/tex]
Divide both sides by -1 (reverse sign): [tex]x > -\frac{5}{8}[/tex]
[tex]-\frac{4}{5x}+ \frac{3}{10} < \frac{8}{10}[/tex]
subtract 3/10 from both sides: [tex]-\frac{4}{5x} < \frac{5}{10}[/tex]
Multiply both sides by 5x: [tex]-4 < \frac{5}{2}x[/tex]
Divide both sides by 5/2: [tex]x>- \frac{8}{5}[/tex]
[tex]\\ \tt\longmapsto \dfrac{-4}{5}x+\dfrac{3}{10}<\dfrac{8}{10}[/tex]
[tex]\\ \tt\longmapsto \dfrac{-4}{5}x<\dfrac{5}{10}[/tex]
[tex]\\ \tt\longmapsto -4/5x<1/2[/tex]
[tex]\\ \tt\longmapsto x>-5/8[/tex]
Find the values of x between 0 and pi where the tangent line to the graph of y = sin(x) cos(x) is horizontal.
Answer:
π/4, or 3π/4
Step-by-step explanation:
dy/dx = cos(x)*cos(x)+sin(x)*[-sin(x)]=(cosx)^2-(sinx)^2=[1-(sinx)^2]-(sinx)^2 = 1-2(sinx)^2
Tangent line is horizontal, so dy/dx = 0
1-2(sinx)^2 = 0
(sinx)^2 = 1/2
sinx = [tex]\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}[/tex]
Between 0 and pi, sinx >0
so sinx = [tex]\frac{1}{\sqrt{2}}[/tex]
x = π/4, or 3π/4
Ahmad has $112 in his checking account and earns $75 per week
working part-time. Assume he has no expenses currently.
Create an equation to model the above scenario.
Answer:
total = 75x + 112
Step-by-step explanation:
I did 75x because x would be how many weeks and added 112 because of the starting amount
Please help I don’t understand how to do this
Answer:
65 degrees
Step-by-step explanation:
All angles of a triangle have to add up to 180 degrees. After establishing that, we can see that there are two angles given. 25 degrees and a 90-degree symbol. So if two angles add up to 115 degrees, we can do 180-115=65 to find the angle of C.
Answer:
m∠C=65°
Step-by-step explanation:
m∠B=90°
m∠A=25°
m∠A+m∠B+m∠C=180°
25°+90°+m∠C=180°
m∠C=180°-(90°+25°)
m∠C=65°
Hope it helps! :)
solve and reduce to lowest terms 4\7 x 5\8
Answer:
5/14
Step-by-step explanation:
4/7 x 5/8 = 20 /56
Then divide by 4
20/56 x 4/4 = 5 /14
Answer:
The answer is 5/14
Step-by-step explanation:
i know cuz i took the test
Which of the following expressions is equivalent to:
Simplify.
(fg2)4
Can you please help me? I'm stuck on this question
Answer:
[tex]4fg^{2}[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex]fg^{2} *4[/tex]
2) Regroup terms.
[tex]4fg^{2}[/tex]
Answer:
The correct answer is...
Step-by-step explanation:
"F^4g^8" Hope this helps!
The phasor representation of the signal v = 24 sin (θ - 30⁰) would be the vector Question 2 options: 24∠-30 24∠0 24∠90 24∠30
The vector representation of the phasor is given by:
24∠-30
What is a phasor?A phasor is a complex number, in the following format:
[tex]p = M\sin{(\theta - s)}[/tex]
In which:
M is the magnitude.s is the phase-shift.The vector representation is given by:
M∠s.
In this problem, the signal is:
[tex]v = 24\sin{(\theta - 30^\circ)}[/tex]
Hence, the vector representation is given by:
24∠-30
More can be learned about phasors at https://brainly.com/question/26334176
Look at image please
Answer:
the answer is going to be letter b
Please give me a written and explained answer for branliest
Answer:
TU = 15
Step-by-step explanation:
The two rectangles are similar. That means that the lengths of corresponding sides are in the same ratio.
Pairs of corresponding sides:
MN, ST
NO, TU
OP, UV
PM, VS
Equal ratios of lengths of corresponding sides:
MN/ST = NO/TU = OP/UV = PM/VS
Plug in the given information:
MN/ST = 10/x = 4/6 = PM/VS
10/x = 4/6
4x = 10 × 6
4x = 60
x = 15
TU = 15
What is the missing numerator?
Answer:
The missing numerator is 2
Step-by-step explanation:
Assign "x" to the numerator sought:
[tex]\frac{x}{7} +\frac{13}{14} =1\frac{3}{14}[/tex]
[tex]\frac{14x+91}{98} =\frac{14+3}{14}[/tex]
[tex]14x+91=98(\frac{17}{14} )[/tex]
[tex]14x=\frac{1666}{14} -91[/tex]
[tex]14x=119-91[/tex]
[tex]x=\frac{28}{14}[/tex]
[tex]x=2[/tex]
Hope this helps
On average, every minute of every day, 167 babies are born. The bar graph represents the results
of a single day of births, deaths, and population increase worldwide.
Each day, the number of births in the world is 45 thousand less than three times the number of
deaths.
a.) If the population increase in a single day is 241 thousand, determine the number of births and deaths per day.
There are____ thousand births per day
There are ____ thousand deaths per day
Answer:
Let x thousand births per day
Let y thousand deaths per day
Each day, the number of births in the world is 45 thousand less than three times the number of
deaths.
x=3y-45 (1)
Population increase= birth - death
=x-y(2)
substitute (1) into (2)
3y-45-y=241
2y-45=241
2y=196 (plus 45 from both side)
y=98 (divide 2 from both side)
x-y=241
x-98=241
x=339 ( pluse 98 from both side)
So, There are 339 thousand births per day
There are 98 thousand deaths per day
HOPE THIS HELP!!!
Find the scale factor for of the dilation shown.
A. 1/2
B. 3/2
C. 2
D. 2/3
NEED THIS BEFORE MIDNIGHT!! HELP ME PLEASE. THANKS!!!
The scale on a 1:50 000 Ordnance Survey map indicates that 2 cm on the map
= 1 km on the ground.
How many centimetres would 1km be represented by on a 1:25 000 scale map?
?cm
make b the subject of formula
[tex]a = \frac{1}{2} bh[/tex]
Answer:
[tex]a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} [/tex]
Traci collects donations for a dance marathon. One group of sponsors will donate a total of $6 for each hour she
dances. Another group of sponsors will donate $75 no matter how long she dances. What number of hours, to the
nearest minute, should Traci dance if she wants to raise at least $1,000?
Traci would have to dance at least hours and 10 minutes.
Answer:
She needs to dance about 154 hours.
Step-by-step explanation:
$1,000 minus $75 is $925.
$925 divided by $6 is about 154 hours.
what is the equation?
Answer:
Step-by-step explanation:
Pls answer this for brainliest A refrigerator worth Rs.58000 is offered for sale at Rs.45000. What per cent discount is offered during the sale?
Discounts are used to reduce the price of items
The percentage discount during the sale is 22.41%
How to calculate the percentage discountThe given parameters are:
Worth = Rs 58000
Selling price = Rs 45000
Start by calculating the discount amount
Discount = Worth - Selling Price
So, we have:
Discount = Rs 58000 - Rs 45000
Discount = Rs 13000
The percentage discount is then calculated as:
[tex]\% Discount = \frac{Discount}{Worth}[/tex]
This gives
[tex]\% Discount = \frac{13000}{58000}[/tex]
Simplify
[tex]\% Discount = 22.41\%[/tex]
Hence, the percentage discount during the sale is 22.41%
Read more about discounts at:
https://brainly.com/question/25567167
Find the surface area of this shape
Answer:
295 cm[tex] {}^{2} [/tex]
I dont get this question could someone help me out i will mark brainliest include steps!
Answer:
12.5
Step-by-step explanation:
In a rectangle, the two diagonals are equal length, so MK = JL = 2x + 9
Note MK = 2 * MN, so
2x + 9 = 2 * (3x + 1)
expand:
2x + 9 = 6x + 2
Solve:
9 - 2 = 6x - 2x
4x = 7
x = 7/4
MK = JL = 2x + 9 = 2 * 7/4 + 9 = 7/2 + 9 = 3.5 + 9 = 12.5
Consider the line y = -8x+5.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5)
Answer:
parallel: y = -8x+-27
perpendicular: y= [tex]\frac{1}{8} +5\frac{1}{2}[/tex]
Step-by-step explanation:
- Length of lease: 32 months
- MSRP of the car: $26,260
-Purchase value of the car after lease: $14,330
- Down payment: $1270
- Security deposit: $605
- Acquisition fee: $765
-Lease factor: 0.00073
1. What is the amount of cash due at signing?
2. What would be his monthly payments?
3. What is the total amount of money that he would spend on monthly payments
4. What is the total amount of money that he would spend on monthly payments?
5. What is the total cost of leasing the car, assuming that he does not get the security deposit back
Answer:
I'm pretty sure you would just add and subtract as needed.
Step-by-step explanation:
Sorry if i'm wrong.
Wyatt invests $1200 into an account that earns 6.2% simple interest for 4 years. He does not make any other deposits or withdrawals. At the end of 4 years, Wyatt invests the entire account balance into a different account that earns 8% simple interest. He leaves the money in the account for 5 years without making any additional deposits or withdrawals. What is the new account balance at the end of 5 years? Drag and drop values into the boxes to correctly complete the statements.
Answer:
297.60 & 1497.60
Step-by-step explanation:
I had the question before and got it right.
Answer:
the correct answers are (1) 1497.60 and (2) 2096.64
explanation:
these were the correct answers!!
100% honest!!
Express the set using the roster method. {x | XEN and x> 9)
Answer:
A(8,9,10,11,12)
Step-by-step explanation:
A(8,9,10,11,12)
name the polynomial based on its degree and number of terms. 2 - 11x^2 - 8x + 6x^2
Step-by-step explanation:
This polynomial has like terms that can further be simplified
2 - 11x^2 + 6x^2- 8x
2 - 5x^2 - 8x
multiply by negative to take 2 to the right.
-(2 - 5x^2 - 8x)
= 5x^2 + 8x - 2
It's named a Second Degree Polynomial because the highest degree(exponent) of x in the final solution is 2.
it has 3 terms : 5x^2 , 8x , 2
Christina used 2 1/3 gallons of gas to drive her car 64 1/6 miles. What was the fuel efficiency of her car, in miles per gallon, for the trip?
Answer: 27 1/2 miles per gallon
Step-by-step explanation: trust me bro
A concert promoter is forecasting this year's attendance for one of his concerts based on the following historical data: What is this year's forecast using exponential smoothing with alpha = .2, if last year's smoothed forecast was 15,000?
The smoothed forecast for this year depends on last years forecast and
observation, as well as the value of alpha.
Response:
The forecast for this year is 16,000What relationship can be used to find the smoothed forecast?The given parameter are;
α = 0.2
From a similar question online, we have the following possible values;
Last year's smoothed forecast, F₄ = 15,000
Last years actual value, A₄ = 20,000
Required:
The forecast this year
Solution:
The exponential smoothing relationship is expressed as follows;
F₅ = F₄ + α·(A₄ - F₄)
Which gives;
F₅ = 15,000 + 0.2 × (20,000 - 15,000) = 16,000
This year's forecast, F₅ = 16,000
Learn more about forecasting here:
https://brainly.com/question/4941976
What’s the correct answer for this?
Answer:
6 pounds and 15 ounces
Step-by-step explanation
1 pound is equal to 16 ounces. Divide 111 by 16 to get 6 remainder 15
***Need answer and help to understand
Answer:
a. given ∠1≅∠2, the converse of the corresponding angles theorem shows l║m.
Step-by-step explanation:
There are several things you need to know to be able to answer this question.
corresponding angles where a transversal crosses (parallel) lines are angles that are in the same direction from the points of intersection. Here angles 1 and 2 are both "northwest" of the points of intersection, so are corresponding angles.the "corresponding angles theorem" tells you "if the lines are parallel, then corresponding angles at a transversal are congruent."the converse of a theorem "if A, then B" is "if B, then A". Here, the converse of the "corresponding angles theorem" is "if the corresponding angles at a transversal are congruent, then the lines are parallel."__
You are given ∠1 ≅ ∠2, so the hypothesis of the converse of the corresponding angles theorem is already true. The conclusion that the lines are parallel is what you are asked to prove. To prove that, you only need to identify the angles as being corresponding, and invoke the theorem. The logic matches answer choice A.
∠1≅∠2 is given. The diagram shows ∠1 and ∠2 are corresponding angles, so by the converse of the Corresponding Angles Theorem, l║m.
What is the surface area?
8 yd
7 yd
3 yd
square yards
convert 6.19 to fraction
Answer:
[tex]6.19=6\frac{19}{100}[/tex]
Step-by-step explanation:
[tex]6.19=6\frac{19}{100}[/tex]