Answer:
The new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Step-by-step explanation:
Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.
As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].
Thus, the new position becomes
[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-\frac{943}{8}[/tex]
The LCM of 4,8: 8
Adjusting fractions based on LCM
[tex]=\frac{606}{8}-\frac{943}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{606-943}{8}[/tex]
[tex]=-\frac{337}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-42\frac{1}{8}[/tex]
THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:
As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.
i.e
[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]
The LCM of 8, 2: 8
Adjusting fractions based on LCM
[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{-337+236}{8}[/tex]
[tex]=-\frac{101}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-12\frac{5}{8}[/tex]
Therefore, the new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
what answer this is ?
Answer:
A and C
Step-by-step explanation:
If the fraction is negative either the numerator or the denominator can be marked negative and it stays the same
Factor completely (x2 + x - 6)(2x2 + 4x)
Answer:
Eq 1) x^2 + x - 6
Factors are : x-2(x+3)
Eq 2) 2x^2 + 4x + 0
Factor out 2x
Factors are: 2x(x+2)
Answer: 2x(to the fourth power) + 6x (to the third power) - 8x (to the second power) - 24x
Step-by-step explanation:
Write fifty-three dollars and six cents using the dollar symbol (without spaces)
Answer:
$53.06
Step-by-step explanation:
Answer:
$53.06
Step-by-step explanation:
ANSWER FAST PLEASE!
Ms. Barcht Open a savings account with $50 and deposit $25 every week. Mrs. Greene save $75 every week. How many weeks will Mrs. Greene have more money in her account than ms. Bracht?
A. 25x+75>50
B. 75x=25x+50
C. 75x>25x+50
D. 75x<25x+50
Answer:
C
Step-by-step explanation:
Ms. Barcht's savings account can be modeled with the expression
50 + 25x
Mrs. Greene's savings account can be modeled with the expression
75x
Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.
Mrs.Greene > Ms. Bracht
75x > 25x + 50
Answer:
The answer would be C. 75x>25x+50
Step-by-step explanation:
The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150
Hope this helps.
Mr. Gonzalez invested $4,200 into an account that earns a simple interest rate of 3% per year.
What is the amount of interest Mr. Gonzalez will earn at the end of one year?
Answer:
4326
Step-by-step explanation:
4200/100x3=126
4200 + 126=4326
Answer:
b
Step-by-step explanation:
4326
CAN SOMEONE HELP ME WITH THIS PLEASE!!
Answer:
B
Step-by-step explanation:
the money increases hourly so A and C are wrong. and it is constant so the answer is B
Which equation could be used to find the length of the hypotenuse?
find value for x please and thank you
Answer:
x = - 3
Step-by-step explanation:
Given
3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side
3x - 18 + 6 = 5x - 6
3x - 12 = 5x - 6 ( subtract 5x from both sides )
- 2x - 12 = - 6 ( add 12 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
find the domain of the following equations and solve them
Answer:
Domain → x > 0
Solution → x = 100
Step-by-step explanation:
Given equation is,
[tex]x^{0.5\text{logx}}=0.01x^2[/tex]
Since, log of any number 'x' is defined when x > 0
Therefore, domain of the equation → x > 0
By taking log on both the sides of the equation,
[tex]\text{log}(x^{0.5\text{logx}})=\text{log}(0.01x^2)[/tex]
0.5(logx)(logx) = log(0.01) + log(x²)
0.5(logx)²= -2 + 2log(x)
Let log(x) = a
Then the equation becomes as,
0.5a² = -2 + 2a
0.5a² - 2a + 2 = 0
a² - 4a + 4 = 0
(a - 2)² = 0
a = 2
Since, a = log(x)
log(x) = 2
x = 10²
x = 100
Therefore, solution of the given equation is x = 100.
[tex]\boxed{\boxed{\pink{\tt \leadsto The \ domain \ of \ x \ is \ (0,\infty ). }}}[/tex]
Step-by-step explanation:A equation is given to us and need to find the domain of the equation . So , given equation is ,
[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 [/tex]
Now , let's simplify this equation to find the domain of x .
[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 \\\\\bf\implies x^{0.5\:log\ x } -0.01x^2 =0 \\\\\bf \implies x^{log \:x^{\frac{1}{2}}} - 0.01x^2=0 \\\\\bf\implies x^{log \ \sqrt{x}} - 0.01x^2=0 [/tex]
Now set the argument in log( √x) Greater than or equal to zero to see where the expression is defined. Since the value of log is non - negative.
[tex]\bf\implies \sqrt{x} > 0 \\\\\bf\implies (\sqrt{x})^2>0^2 \\\\\bf\implies x>0\\\\\bf\implies \boxed{\red{\bf x \in ( 0, \infty ) }}[/tex]
In set builder Notation we can write as ,
[tex]\boxed{\red{\bf \{ x | x > 0 \} }}[/tex]
Hence the domain of x is ( 0 , ∞ ) .on khan my progress wont go up and i need 50% and i have 44 help please
Answer:
watch 2 more videos
Step-by-step explanation:
What is the best solution to the equation 14x+15=7x44
A) infinite real solutions
B) exactly one real solution, x=4 1/2
C) exactly one real solution, x=29
D) no real solutions
Answer:
D
Step-by-step explanation:
B and C aren't correct
ASAP PLZ HELP WILL MARK AS BRAINLSIT
Answer:
9
Step-by-step explanation:
18/2=9
ABC=DBC, AB=10, mA=44
mD = ?
Answer: 44
Step-by-step explanation:
Since ABC=DBC. that means A=D so that would mean 44=D since A=44 and they’re both congruent (equal)
Answer:
its 44
Step-by-step explanation:
Help me edjdhvsvjwjsjdhsb
Answer:
C
Step-by-step explanation:
What is the yyy-intercept of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
(-1,0)(−1,0)left parenthesis, minus, 1, comma, 0, right parenthesis
(Choice B)
B
(0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis
(Choice C)
C
(5,0)(5,0)left parenthesis, 5, comma, 0, right parenthesis
(Choice D)
D
(0,5)(0,5)
Answer:
B.(0,-1)
Step-by-step explanation:
Answer:
B.(0,-1)
Step-by-step explanation:
i just got it right
After a discount of 40%, the sale price of a ridepass at a fun park is $30 what was the orginal price
Which one is correct :)
Answer:
Top Left Again :D
Step-by-step explanation:
yes
onsider the line y=-5+6.
find the equation of the line perpendicular to this line and passes through the point (-2,-3)
find the equation of the is parallel to this line and passes through the point (-2,-3)
Answer:
The equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
The equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Step-by-step explanation:
The given line is y=-5x+6
The slope of the given line, [tex]m_1=-5[/tex]
Let [tex]y= m_2 x + C_2[/tex] be the slope of the line perpendicular to y=-5x+6,
where [tex]C_2[/tex] is constant.
As multiplication of slopes of two perpendicular lines equal to -1, so
[tex]m_1m_2=-1 \\\\\Rightarrow -5\times m_2= -1 \\\\\Rightarrow m_2= \frac {-1}{-5}= \frac 1 5[/tex]
So, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x +C_2[/tex] which passes through the point (-2,-3), so
[tex]-3=\frac 1 5 (-2) +C_2 \\\\\Rightarrow C_2 = -3 +\frac 2 5= \frac {-13}{5}[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
Now, let [tex]y=m_3 x +C_3[/tex] be the equation of the parallel line to y=-5x+6.
As the slopes of two parallel lines are the same, so [tex]m_3=-5[/tex].
So, the equation of the parallel line becomes
[tex]y=-5 x +C_3[/tex] which passes through the point (-2,-3), so
[tex]-3=-5 (-2) +C_3 \\\\\Rightarrow C_2 = -3 - 10 = -13[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Please help!!
what is the slope, y intercept, and equation for this?? I’ll give brainliest!!!!
Answer:
Slope: -1/3
y intercept: -2
10x – 2 – 6x = 3x – 2 + x
A. one solution
B. no solutions
C. infinitely many solutions
Answer:
C
Step-by-step explanation:
4x-2=4x-2
when u simplify the equations you get 4x-2=4x-2 therefore they are the same line which results in infinitely many solutions.
(pls mark brainliest)
Answer:
there is one solution
Step-by-step explanation:
Is the equation proportional?
y = 2x + 6
Answer:
yep
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2x + 6 is equal
Work out the 3rd term of the sequence 3n +5.
a. 11
b. 14
c. 17
Please help.............
Answer:
a. 754cm³ (3 s.f.)
b. 415cm² (3 s.f.)
Step-by-step explanation:
Formulas (for easier reference):
Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³
Surface area of cone without base: [tex]\pi[/tex]rl
Surface area of hemisphere without base: 2[tex]\pi[/tex]r²
We can just apply the formulas for the question:
Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)
= 96[tex]\pi[/tex] + 144[tex]\pi[/tex]
= 240[tex]\pi[/tex]
= 754cm³ (3 s.f.)
Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)
= 60[tex]\pi[/tex] + 72[tex]\pi[/tex]
= 132[tex]\pi[/tex]
= 415cm² (3 s.f.)
log(x - 3) + log(x + 4) – log x = log 5
Please find attached photograph for your answer.
Simplify the expression by combining like terms.
15 + 12z– 5z + 4y- 7
Answer: = 4y + 7z + 8
Answer:
7z+4y+8
Step-by-step explanation:
Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8
plz oh plz with a cherry on top help me with this because it is due tonight help me wind the two decimals plzzzzzzzzzzzzz
Answer:
7.1 and 7.2
Step-by-step explanation:
if you look on the number line 51 is in between what two numbers
a box of cereal should have a mass of 397 g the quality control inspector measures the mass of every fiftieth box the inspector rejects any box that is not within 10 g of the ideal mass
**NEED THIS WITHIN 5 MINS** Stan’s employer pays for 45% of his annual health insurance premium of $4,567.00. Stan pays the remaining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year. How much will Stan have deducted from each paycheck?
Answer:
$88.3
Step-by-step explanation:
Here 42% of annual health premium($5450)=*5450
=$2289
This amount is being paid by the company means it is deducted amount in one year.
One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.
Deducted amount=
=$88.30
Mariko spent 2 1/2 hours or less doing Spanish and history homework last night. She spent at least 3/4 hour on history, and she spent more time in Spanish in history. Which system of equalities represents the time Mariko spent on homework if X represents the number of hours spent on Spanish NY represents the number of hours spent on history?
hey i dont know it im just doing a glitch right now
Please help thanks !!!!
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6(x - 1) = -72
Step 2: Solve for x
Divide 6 on both sides: x - 1 = -12Add 1 to both sides: x = -11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6(-11 - 1) = -72Subtract: 6(-12) = -72Multiply: -72 = -72Here we see that -72 does indeed equal -72.
∴ x = -11 is a solution to the equation.
Answer:
x = - 11
Step-by-step explanation:
Given
6(x - 1) = - 72 ← divide both sides by 6
x - 1 = - 12 ( add 1 to both sides )
x = - 11