Answer:
I believe, 6.
Step-by-step explanation:
Not sure if the rest of the question is the answer choices but the absolute of any number, is it's exact opposite. The reason for this is that an absolute number, or |?| is equal to whatever distance it is from 0. Since adding 1, and subtracting 1, both do such but in opposite directions, the absolute value of both would be 1.
What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.
How to simplify the exponential expression?
First, we need to remember a rule for exponential expressions, it says that:
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
Then we can rewrite the given exponential expression as:
[tex]16^{1/4} =\sqrt[4]{16}[/tex]
So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.
We know that:
2*2 = 4
Then:
2*2*2*2 = 2⁴ = 4*4 = 16
Then we can conclude that:
[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]
So the simplified value of the exponential expression is 2.
If you want to learn more about exponential expressions:
https://brainly.com/question/10343716
#SPJ4
A 4-lb. force acting in the direction of (vector) 4,-2 moves an object just over 7ft from point (0,4) to (5,-1). Find the work done to move the object to the nearest foot-pound.
A) 35 ft*lbs
B) 27 ft*lbs
C) 18 ft*lbs
D) 7 ft*lbs
To solve this problem, we have to find the net displacement and the net force and the multiply the dot product together and get the work done.
The work done on moving the object is 27ft*lbs
Work done in moving the object from point A to point BTo find the work done on this object, let's find the net force on the object.
Data;
force = 4lbdirection = 4, -2displacement = 7ftdirection = (0, 4) to (5,1)The unit vector of the force is
[tex]\sqrt{4^2 +(-2)^2} =\sqrt{16 + 4} = \sqrt{20}[/tex]
[tex]\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} }[/tex]
The net force acting on the object is
[tex]F = 4(\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} })\\F= (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } )[/tex]
The displacement on the object is 7ft through (0,4) to (5, -1)
The unit vector on displacement is
[tex]\sqrt{5^2 + (-1-4)^2} = \sqrt{25+25} = \sqrt{50}[/tex]
[tex]\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }[/tex]
The net displacement will be
[tex]7(\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }) = \frac{35}{\sqrt{50} }, \frac{-35}{50}[/tex]
The work done will be F.d
[tex]w = f. d \\[/tex]
[tex]w = (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } ) * \frac{35}{\sqrt{50} }, \frac{-35}{50}\\w = 17.71+ 8.854\\w = 26.567 = 27ft*lbs[/tex]
The work done on moving the object is 27ft*lbs
Learn more on work done on an object here;
https://brainly.com/question/26152883
#SPJ1
Answer: the answer is B 27ft
Step-by-step explanation: its cam btw
Trains Two trains, Train A and Train B, weigh a total of 384 tons. Train A is heavier than Train B. The
difference of their weights is 288 tons. What is the weight of each train?
Train A weighs tons.
i think the answer is 336 bc 384+288=672 then divide
2 is 336,
(so sorry if im wrong)
A business supply store sells 10 pens for$8. What is the cost of 2 pens?
[tex]\begin{array}{ccll} pens&\$\\ \cline{1-2} 10 & 8\\ 2& x \end{array} \implies \cfrac{10}{2}=\cfrac{8}{x}\implies 5=\cfrac{8}{x}\implies 5x=8\implies x=\cfrac{8}{5}\implies x=1.6[/tex]
Select the correct answer.
Which is the minimum or maximum value of the given function?
Answer:
C
Step-by-step explanation:
Line does not go over 1 on the y-axis
Johnny has to buy his mother a birthday present. If he spends $90 on 5 necklaces, how much was each necklace?
Answer:
$450
Step-by-step explanation:
Stephen has 42 coins that are all dimes and nickels. The value of the coins is $3.65. How many dimes and how many nickels does Stephen have
answer is 31 dimes, 11 nickels
see picture attachment for the math
equation is .05N + .10D = 3.65
value of nickels and dimes
using D + N = 42
change to find value of N = 42 - D
plug value of N into the equation and solve
Given: segment AB || segment DE, C is the midpoint of segment DB. Prove LABC = AEDE Fill in the missing statement for the proof.
Answer: B
Step-by-step explanation:
If the number of bacteria in a colony doubles every 475 hours and there is currently a population of 65 bacteria, what will the population be 950 hours from now???
The population (number of bacteria in the colony), 950 hours from that time, will be 260 bacteria
Determining the population of bacteriaFrom the question, we are to determine what the population will be after 950 hours
From the given information,
The number of bacteria in a colony doubles every 475 hours
The current population is 65 bacteria
∴ After 475 hours, the new population will be 2 × 65 bacteria
New population after 475 hours = 130 bacteria
After another 475 hours (that is, 950 hours from the initial time),
The population will be 2 × 130 bacteria = 260 bacteria
Hence, the population, 950 hours from that time, will be 260 bacteria
Learn more on Calculating population here: https://brainly.com/question/9422367
#SPJ1
Please help! 100points! A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)
Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
Given
aₙ = 2(aₙ₋₁ + 4)a₁ = 5First term : 5
Second term : a₂ = 2(a₁ + 4)
a₂ = 2(5 + 4) = 2(9) = 18Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44
Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96
Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200
Hence, the first 5 terms of the sequence are :
5, 18, 44, 96, 200Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
[tex]\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)[/tex]
[tex]\textsf{Given first term}: \quad a_1=5[/tex]
[tex]\implies a_1=5[/tex]
[tex]\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18[/tex]
[tex]\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44[/tex]
[tex]\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96[/tex]
[tex]\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200[/tex]
Helppppp I really need this asap
Answer:
gago putangina mo bold
panget
please help before 11 pm
B=?
Answer:
155.24
Step-by-step explanation:
[tex]\text{Apply sine rule,}\\\\~~~~~~~~\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}\\\\\\\implies \dfrac{b }{\sin B} = \dfrac{c}{ \sin C}\\\\\\\implies b = \dfrac{c \cdot \sin B}{\sin C}\\\\\\\implies b = \dfrac{197\sin 52^\circ}{\sin 51^{\circ}}~~~~~~~~~;\left[\angle C = 180^{\circ} - 77^{\circ} -52^{\circ} = 51^{\circ} \right]\\\\\\\implies b \approx 200[/tex]
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = 5 x squared + 2 x minus 1
a.
a = negative 1, b = 2, c = 5
b.
a = negative 2, b = 5, c = 1
c.
a = 1, b = 5, c = 2
d.
a = 5, b = 2, c = negative 1
The correct answer is option D which is a = 5, b = 2, c = - 1.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that:-
y = 5x² + 2x - 1The general form of the equation is given as:-
Y = ax² + bx + c
We have a quadratic equation:-
y = 5x² + 2x - 1
By comparing the equation with the general form the value of a, b and c is calculated:-
a = 5
b = 2
c = -1
Therefore the correct answer is option D which is a = 5, b = 2, c = - 1.
To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ1
A jar contains only dimes and nickels. The total number of coins in the jar is
15
. The total value of the coins is
$
1.00
. How many of each type of coin are in the jar?
Answer:
5 dimes and 10 nickels
Step-by-step explanation:
0.1d + 0.05n = 1
d + n = 15
d + 0.5n = 10
d + n = 15
0.5n = 5
n = 10
d + n = 15
d + 10 = 15
d = 5
Answer: 5 dimes and 10 nickels
Which of the following are solutions to the equation cos^2 2x-1/4=0? Check all that apply.
A. 11pi/3
B. 12pi/6
C. 5pi/6
D. Pi/6
Answer:
D
Step-by-step explanation:
Cos^2 2x=1/4
Cos 2x =+-1/2
2x=z
Cos z=+-1/2
z1=pi/3
z2=11pi/3
z1 and z2 are possible.
x1=pi/6
x2=11pi/6
if 2⁴x ÷2x =64 find the value if x
with steps pls
Answer:
[tex]2 ^ { 4 } x \div 2x=64\\2^{4}x^{2}=128 \\16x^{2}=128 \\x^{2} = 128 \div 16\\x^{2}=8 \\x = \pm 2\sqrt{2}[/tex]
Answer: no solution or x ∈ Ø
Step-by-step explanation:
(2⁴ × x) ÷ 2x = 64
16x ÷ 2x = 64
[tex]\frac{16x}{2x} = 64[/tex]
8 = 64
8 = 64, x [tex]\neq[/tex] 0
8 = [tex]8^{2}[/tex]
2 = ㏒₈ 8
2 = 1
Write a rule for the input/output table
The table is a linear function, and the rule for the input/output table is f(x) = 1 + 3x
How to determine the rule?From the table, we can see that:
The output of the table is 1 more than 3 times the input
If the input is x, then the output y is:
y = 1 +3 * x
Evaluate
y = 1 + 3x
Hence, the rule for the input/output table is f(x) = 1 + 3x
Read more aboiut linear functions at:
https://brainly.com/question/4025726
#SPJ1
after a 15% discount an item cost22.27 what was the origanl price
Answer:
26.2
X = 22.27/(1 - 0.15)
X = 22.27/0.85
X = 26.2
what is the product of 2.31 and 0.21
need to paint an entire cylindrical tank (all sides) it is 29ft long and 9ft diameter find the total surface area.
Write the ratio 40.5 to 8.1 as a fraction
[tex]\cfrac{40.5}{8.1} ~~ \begin{cases} 40.5\implies \frac{405}{10}\\\\ 8.1\implies \frac{81}{10} \end{cases}\implies \cfrac{ ~~ \frac{405}{10} ~~ }{\frac{81}{10}}\implies \cfrac{405}{10}\cdot \cfrac{10}{81}\implies \cfrac{405}{81}\cdot \cfrac{10}{10} \\\\\\ \cfrac{5\cdot 81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot \cfrac{81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot 1\cdot 1\implies \cfrac{5}{1}[/tex]
Find the volume of a sphere with a surface area of 23041 in2.
Answer:V≈3.29×105in³
Step-by-step explanation:im smart
I need this answer fast please and thank you
Answer:
1-nonlinear it is not consistant
2- a increasing, b constant, c decreasing
3- 'a' walking away from hole, 'b' rests, 'c' goes back to hole (b could also be gather, as in food)
4- 8cm per second
work 16cm/2sec=8cm/1sec
Step-by-step explanation:
What percent of 6 is 9?
Answer:
150%
Step-by-step explanation:
half of 6 is three, and 9 has a value of 3 more than 6. meaning that 9/6 = 150%
Answer: [tex]150[/tex]% [tex]([/tex][tex]0.54[/tex][tex])[/tex]
Step-by-step explanation:
For fraction: divide 6 by 100 and remove the % sign.
{[tex]6[/tex]}% [tex]=\frac{6}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
{[tex]6[/tex]}% [tex]=0.06[/tex]
[tex]100[/tex]% [tex]=9[/tex]
[tex]\frac{6}{100}[/tex] × [tex]9=0.06[/tex] × [tex]9=0.54[/tex]
[tex]6[/tex]% [tex]of~9~is~0.54[/tex]
What is the slope of a line parallel to the line whose equation is x + y = -7. Fully
simplify your answer.
Answer:
slope = - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + y = - 7 ( subtract x from both sides )
y = - x - 7 ← in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
then the slope of a line parallel to it is - 1
1.1 How much profit did Jamie make if he sold 87 tickets for his treasure hunt? 1.2 Each horse ride lasts 5 minutes with a one minute pause in between for the next rider to get in the saddle. After every hour and a half the horses are given a rest. How many children can get an opportunity to ride a horse before they rest? 1.3 Give the grid reference of the treasure hidden south-east of the ice cream table. 1.4 If you are standing at the cup cakes table, in which direction must you walk to find the swings? 1.5 In which direction is the cold drinks table from the table where Sarah creates her balloon animals? 1.6 The distance on the map between the treasures hidden in block B2 and (3) (3 (2) (2 (4
Answer:
because the Gravity of the eart.
Step-by-step explanation:
the times is equarl and plus is to mynos sorna iloveyou mwa.
2x-17=51+61
Super easy!
[tex] \underline{ \boxed {\sf \color{cyan}{x = \frac{129}{2}}}}[/tex]
[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Solution :-[tex]\Longrightarrow\sf{2x- 17 =51 +61}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x- 17= 112}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x- 17 + 17 = 112 + 17}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x = 129}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{\frac{ \cancel2x}{ \cancel2}=\frac{129}{2}}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{x = \frac{129}{2}}[/tex]
[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
[tex]{\pink{\boxed{\blue{2x - 17 = 51 + 61}}}}[/tex]
SOLUTION =>2x - 17 = 51 + 61
[tex]{\blue{\boxed{{Take -17 \: \: to \: \: the \: \: other \: \: side \: \: and }}}}[/tex]
[tex]{\blue{\boxed{{its \: \: sign \: \: will \: \: change \: \: \: into \: \: + }}}}[/tex]
2x = 112 + 17
2x = 129
[tex]{\blue{x = {\pink{ \frac{129}{2} }}}}[/tex]
PLEASE ANSWER 60 PTS
find all missing angles below.
Step-by-step explanation:
a=60°{vertically opposite angles}
b=180°-(52+110)°=18°
c=180°-(60+18)°=102°
d=180°-102°=78°
e=180°-(78+51)°=51°
A cookie factory uses 7/10 of a barrel of oatmeal in each batch of cookies. The factory used 4 9/10 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answer: 7 BATCHES
Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal
Now the factory uses 4 9/10 batch of oatmeal
1=7/10 OATMEAL
X=4 9/10 OATMEAL
X=(7/10*1)/4 9/10
=4 9/10*10/7
=490/70
=7
What is the measurement at plot a?
Answer:
An Acre is a propduct of any rectangular plot of land giving a total of 4,046sqm OR 43,560sq ft. An Acre consist of 6 plots each measuring 6 x 120ft. In Lagos State, the standard size of a plot is 60 x 120ft (18m x 36m ie 648sqm), while in some other cities of the country, plots are measured in 50 x100ft.
Step-by-step explanation: