simplify - maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.
______________
PEMDAS RULEP - ParenthesesE - ExponentsM - MultiplicationD - DivisionA - AdditionS - Subtraction______________
[tex]\huge\red{\mid{\underline{\overline{\textbf{EQUATION}}}\mid}}[/tex]
[tex]5+3 (5) + (-4) (5)[/tex]
Follow our PEMDAS rule
[tex]5+3 (5) + (-4) (5)\\5+15-4\cdot5\\5+15-20\\20-20\\0[/tex]
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
[tex]5+3 (5) + (-4) (5)\:\:\:\:simplified\:=0[/tex]
Help with #1 so I can get the gist of it please?
Answer:
so you graph at (0,2), and go up one, over two for every other point you graph.
Step-by-step explanation:
rise over run.
basically, the m is the slope, and b is the y intercept (where it intersects the y axis).
so when looking at how to graph the line based on 1/2 or any other number, I use rise/run, which is basically telling us tha we need to go up one and over 2 (1/2)
if that makes any sense, let me know if you have any further questions. you got this, youre doing your best!!
slope is the start of your endless pain.
ced tea. How do you make a larger batch of this mixture? Describe your procedure and use the table below to organize your results. Add more columns to the table if needed
Answer:
whats the question ?
Step-by-step explanation:
explain pls
please help i need answer asap
Answer:
1: x=-3
2: x=1 is the answer
An acre of land has an area of exactly 43,560 square feet. Which of the following is a reasonable estimate for the area of an acre of land?
A.
4 × 10-4 sq ft
B.
4 × 103 sq ft
C.
4 × 10-3 sq ft
D.
4 × 104 sq ft
Because an acre is 10 times the size of a football pitch and is often used area as a unit of measurement for broad regions, answer option (D) is a plausible estimate.
What is area?The size of a surface area can be expressed as an area. The surface area is the area of an open surface or the boundary of a three-dimensional object, whereas the area of a planar region or planar region refers to the area of a shape or flat layer. The area of an object is the entire amount of space occupied by a planar (2-D) surface or shape. Make a square with a pencil on a piece of paper. A two-dimensional character. On paper, the area of a shape is the amount of space it takes up. Assume the square is made up of smaller unit squares.
(D) 4 104 sq ft is the right answer.
Considering that an acre of land has an area of exactly 43,560 square feet, answer selections (A) and (C) are both too tiny, as they are both less than 1% of the size of an acre. Answer option (B) is 100 times the size of an acre and hence far too huge.
Because an acre is 10 times the size of a football pitch and is often used as a unit of measurement for broad regions, answer option (D) is a plausible estimate.
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A boat heading out to sea starts out at Point AA, at a horizontal distance of 1347 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 9^{\circ}
∘
. At some later time, the crew measures the angle of elevation from point BB to be 3^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
The distance from point A to B is 2723.8 feet.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the light house, hence:
tan(9) = h/1347
h = 213.3 feet
Let d represent the distance from point B to the lighthouse base, hence:
tan(3) = 213.3/d
d = 4070.8 feet
Distance from point A to B = 4070.8 feet - 1347= 2723.8 feet.
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Answer:
2744.1
Step-by-step explanation:
I got the question right
$9,800.00 is invested at an annual rate of 11.6%, compounded continuously. How long will it take for that investment to grow to a value of 149,000.00? Round your answer (in years) to two decimal places at the END of your calculations.
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.875/100
r = 0.03875 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.03875/12)(12)(7.5)
A = 10,000.00(1 + 0.003229167)(90)
A = $13,366.37
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 3.875% per year compounded 12 times per year over 7.5 years is $13,366.37.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$149000\\ P=\textit{original amount deposited}\dotfill & \$9800\\ r=rate\to 11.6\%\to \frac{11.6}{100}\dotfill &0.116\\ t=years \end{cases} \\\\\\ 149000=9800e^{0.116\cdot t}\implies \cfrac{149000}{9800}=e^{0.116\cdot t}\implies \cfrac{745}{49}=e^{0.116t}[/tex]
[tex]\log_e\left( \cfrac{745}{49} \right)=\log_e\left( e^{0.116t} \right)\implies \log_e\left( \cfrac{745}{49} \right)=0.116t \\\\\\ \cfrac{\ln\left( \frac{745}{49} \right)}{0.116}=t\implies 23.46\approx t[/tex]
Express x² -5x-14 as the product of two binomials
Answer:
(x-2)(x-7)
Step-by-step explanation:
[tex]x^{2} -5x-14\\\\x^{2} -7x+2x-14\\\\x(x-7)+2(x-7)\\\\\(x+2)(x-7)[/tex]
Marguerite sailed 4 hours on Saturday and 3 hours on Sunday. Each day, she sailed at a rate of 11 miles per hour. Which statements are true? Check all that apply.
She sailed for 4 hours.
She sailed for 7 hours.
She sailed 44 miles in all.
She sailed 77 miles in all.
Which statement best describes a command economy?
Government intervention in economic choices is strictly forbidden.
The government determines economic choices and makes most decisions.
The decisions made by producers and consumers drive all economic choices.
Producers and consumers make some economic choices while the government makes others.
HELP HOW DO I SOLVE THIS
Josie wants to buy Internet access. One service provider charges a flat rate of $34.95/month. A second charges $25/month plus 33c/h. For what number of hours per month should Josie choose the flat rate?
ansewer:
25+.33h=34.95 solving for h gives h=(34.95-25)/.33 =30.15 hours. So if you are going to use more than 30 hours it better to go with the flat rate company.
Step-by-step explanation:
You want to find, h, the number of hours of usage that will make the costs for the two equal so
Find the value of x.
(4x + 10°
17
122°
A. 33
B. 28
C. 12
a
D. 20
Answer:
28°
Step-by-step explanation:
vertically opp angles will be equal
4x+10=122
4x = 112
x=28
HELPPPPPPPPP I'LL GIVE BRAINLYYYYYYYYYYY THANKKKKKKKK YOUUUUUUU <3
if a=-3 and b=4 then the value of -5a^2b is?
A) 180
B) 120
C) -120
D) -180
Answer:
D. -180
Step-by-step explanation:
3² = 9
9*(-5) = -45
-45 * 4 = -180
i hope this helps! have a wonderful rest of ur day :)
Suppose that your data shows that Saturn orbits every 29.5 years. To the nearest hundredth of an au, how far is Saturn from the Sun?
Answer:
Step-by-step explanation:
it’s 9.55 au
Saturn is 9.57 au far from the sun
What is third law of Kepler ?
Kepler's third law, also called the law of periods, states that the square of the orbital period is proportional to the cube of its mean distance R.
Let time period of earth = T (e)
Time period of Saturn will be = T(s) = 29.5 T(e)
(since , it is given that Saturn orbits every 29.5 years )
distance of earth from sun = r(e) = 1.5 * [tex]10^{11}[/tex] m
distance of Saturn from the sun = r(s) = ?
using Kepler's third law
[tex]T^{2}[/tex] is directly proportional to [tex]r^{3}[/tex]
[tex]T(s)^{2}[/tex]/[tex]T(e)^{2}[/tex] = [tex]r(s)^{3}[/tex] / [tex]r(e)^{3}[/tex]
r(s) = r(e) [tex](T(s) / T(e))^{2/3}[/tex]
r(s) = 14.32 * [tex]10^{11}[/tex] m = 9.57 au
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What is the value of AC?
Answer:
25
Step-by-step explanation:
5x+5 = 7x-1
5 = 2x-1
2x = 6
x = 3
3x6 = 18
18+7 = 25
square DEFG is inscribed in equilateral triangle ABC with a side length of 3+2√3.
Find: area of the square
Answer:
9 units²
Step-by-step explanation:
**Refer to the attached diagram**
The angles in the right triangle FAD (and HBE) are 30-60-90 which means that its sides will be in the ratio 1 : √3 : 2
Let x = the smallest side
Therefore, the sides of the right triangle FAD are in the ratio x : √3x : 2x
This means that:
the side length of the square = √3xthe side length of the triangle = x + √3x + x = (2 + √3)xWe are told that the side length of the triangle is 3 + 2√3, so:
[tex]\implies 3 + 2\sqrt{3} =(2 + \sqrt{3} )x[/tex]
[tex]\implies x=\dfrac{3 + 2\sqrt{3}}{2 + \sqrt{3} }[/tex]
[tex]\implies x=\sqrt{3}[/tex]
As the side length of the square is √3x, and x = √3,
⇒ side length of the square = √3 x √3 = 3
Now we know the side length of the square, we can calculate the area:
⇒ area of a square = side length x side length = 3 x 3 = 9 units²
Just new 7 don’t mind the triangle under it
Answer:
50
Step-by-step explanation:
total angle of a triangle should be 180 so we add the given angle and subtract it from 180
1) In a standard deck of 52 cards, you draw 2
cards without replacement. Find:
P(Jack and then Queen):
(hint: a deck of cards has 4 Jacks and 4 Queens)
Probabilities are used to determine the chances of an event
The value of P(Jack and then Queen) is 4/663
How to determine the probabilityThe given parameters are:
n = 52
Jack = 4
Queen = 4
The probability P(Jack and then Queen) is calculated as:
P(Jack and then Queen) = P(Jack) * P(Queen)
So, we have:
[tex]P = \frac{4}{52} * \frac{4}{51}[/tex]
Simplify
[tex]P = \frac{1}{13} * \frac{4}{51}[/tex]
Evaluate the product
[tex]P = \frac{4}{663}[/tex]
Hence, the value of P(Jack and then Queen) is 4/663
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Calculate each unit rate.
a) A bus traveled 288 km in 4 hours.
b) A fish swam 75 m is 25 s.
c) Seven lemons cost $1.40.
d) $250 for a 5-day car rental.
Answers:
a) 72 km per hourb) 3 meters per secondc) 0.20 dollars or 20 cents per lemond) 50 dollars per day====================================
Explanation:
a) Divide the distance over time to get the unit rate, which is the speed in this case. Speed = distance/time = 288/4 = 72 km per hour. b) Like before, divide the distance over time to get 75/25 = 3 meters per second.c) We want the cost of 1 lemon. So we'll divide the total cost over 7 to get (1.40)/7 = 0.20 dollars = 20 cents per lemond) Divide the total cost over the 5 day period. This will get the cost of each day. So we have a unit cost of 250/5 = 50 dollars per day.The stadium has two tiers of spectator seats and VIP seats. The number of VIP seats is 1/12 of all seats. The ratio of the number of 1st tier seats to the number of 2nd tier seats is 7:5. If there are 600 VIP seats, how many 1st tier seats are in the stadium?
Answer:
350
Step-by-step explanation:
350 because there are 1/12 of VIP seats and there are 600 so 600 times 1/12 is 6,600.
Then you minus off the 600 VIP seats so you get 6000
next you do 600 divided bu 12 because of the 1st tier seats and 2nd tier seats combined which then you get 50
lastly you do 50 times 7 because of the ration 7:5 1st tier seats to 2nd tier seats so then you get 350
please mark brainliest i need one last one
A computer loses 32% of its value in the first year . It is worth $1650 after 1 year ,how much was it bought for to the nearest $
Answer:
32+500=532
Step-by-step explanation:
is the nearest rupee
The difference between two numbers is -1 their sum is -27 find the numbers
Answer:The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B: · x - y = 1. Now solve equation B for x
Step-by-step explanation:
solve by factorising x2 + 8x + 15 = 0
Answer:
x = - 3/2 thats the answer
How to solve this? And what is the answer.
11 = -5x-2
[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf11 = -5x-2[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf11 + 2= -5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf13= -5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf - 13=5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf 5x = - 13[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x = \dfrac{ - 13}{5} [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x = - 2.6[/tex]
or
[tex] \looparrowright \sf x =- 2\dfrac{3 }{5} [/tex]
Answer:
-13/5 or -2.6
Step-by-step explanation:
Step 1: Flip the equation.
−5x−2=11
Step 2: Add 2 to both sides.
−5x−2+2=11+2
−5x=13
Step 3: Divide both sides by -5.
-5x 13
----- = -----
-5 -5
x = -13/5
I hate math so much I can’t to be done with this class
can someone help me with this equation y=-x+4 and y=3x
Answer:
y=-x+4
y=3x
so that means
-x+4=3x
+x
4=4x
x=1
Hope This Helps!!!
Renaldo has a
budget of $500 to buy gift boxes for a party.
Large boxes cost $65 and small boxes cost
$35. Write and graph an inequality that
represents the number of each type of gift
box that Renaldo can buy. If Renaldo buys
5 small gift boxes, how many large gift boxes
can he afford to buy?
Renal can buy a box that is $35
Step-by-step explanation:
The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Renaldo has a budget of $500 to buy gift boxes for a party. Large boxes cost $65 and small boxes cost $35.
Let 'x' be the number of small boxes and 'y' be the number of large boxes. Then the inequality is written as,
35x + 65y ≤ 500
If Renaldo buys 5 small gift boxes. Then the number of large gift boxes will be given as,
35 × 5 + 65y ≤ 500
175 + 65y ≤ 500
65y ≤ 325
y ≤ 5
The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.
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What is the solution to |2x-8|=6?
A. x /= -1
B. 1 /= 7
D. -7 = x = -1
Answer:
x = 1
Step-by-step explanation:
|2-8| = 6
|-6| = 6
Answer:
Step-by-step explanation:
|2x-8|=6
2x - 8 = 6
+ 8 + 8
2x = 14
/2 /2
x = 7
2x - 8 = -6
+ 8 +8
2x = 2
/2 /2
x = 1
I'm going sure what the options are, as they are confusing.
When you post the update you question, I'll update my answer :)
round 1588 to the nearest hundred
Answer:
1600
Step-by-step explanation:
By rounding 1588 to the nearest hundredth we get 1600.
Solve the following variation problem
The interest on an investment varies directly as the rate of interest.
If the interest is $49 when the interest rate is
4%, find the interest when the rate is
7.7%
Answer:
$94.325
Step-by-step explanation:
Given interest (I) varies directly as rate of interest (R) then the equation relating them is
I = kR ← k is the constant of variation
To find k use the condition I = 49 when R = 4 , then
49 = 4k ( divide both sides by 4 )
12.25 = k
I = 12.25R ← equation of variation
When R = 7.7 , then
I = 12.25 × 7.7 = $94.325
When 0 is in the numerator in the answer of an equation; 2x = 0; x = 0/2 , the answer is WHAT?
NOT POSIBLE
0
2
Answer:
undefined
Step-by-step explanation:
this is explained in graphing lines because if the slope is 0/2 the the line is a undefined line