Which expressions of signed decimal numbers have negative quotients? Check all that apply.
1.4 ÷ 99.9
5.7 ÷ –2.2
–0.01 ÷ 0.05
–3 ÷ –0.009
0 ÷ –8.6
Answers
So
5.7 / -2.2
-0.01 / 0.05
Are the ones with negative quotients
Answer:
im sorry im late but its b and c
Step-by-step explanation:
Related Questions
Write each expression as a single power of 10.
Answers
Answer:
Refer to below!
Step-by-step explanation (a):
\(\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\\)
\(\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}\)
Step-by-step explanation (b):
\(\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}\)
\(\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}]\)
\(\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}\)
\(\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ]\)
\(\rightarrow{10^{9} }\)
Step-by-step explanation (c):
\(\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}\)
\(\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}]\)
\(\rightarrow 10^{2} }\)
Step-by-step explanation (d):
\(\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }\)
\(\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ]\)
\(\rightarrow \dfrac{10^{15} }{10^{10} }\)
\(\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}]\)
\(\rightarrow 10^{5} }\)
Step-by-step explanation (e):
\(\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }\)
\(\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ]\)
\(\rightarrow \dfrac{10^{10} }{10^{6} }\)
\(\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}]\)
\(\rightarrow {10^{4}\)
find the line of best fit for the set of data
Answers
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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Write each ratio in simplest form1- 300:1082- 5280:8003- 42:1204- 20:965- 24:16
Answers
Given:
1) 300:108
\(\begin{gathered} \frac{300}{108} \\ \text{Greatest common factor of 300 and 108 is 12.} \\ \frac{300}{108}=\frac{25\cdot12}{9\cdot12}=\frac{25}{9}\Rightarrow25\colon9 \end{gathered}\)2) 5280:800
\(\begin{gathered} \frac{5280}{800} \\ \text{Greatest common factor of 5280 and 800 is 160.} \\ \frac{5280}{800}=\frac{33\cdot160}{5\cdot160}=\frac{33}{5}\Rightarrow33\colon5 \end{gathered}\)3) 42:120
\(\begin{gathered} \frac{42}{120} \\ \text{Greatest common factor of 42 and 120 is 6.} \\ \frac{42}{120}=\frac{7\cdot6}{20\cdot6}=\frac{7}{20}\Rightarrow7\colon20 \end{gathered}\)4) 20:96
\(\begin{gathered} \frac{20}{96} \\ \text{Greatest common factor of 20 and 96 is 4.} \\ \frac{20}{96}=\frac{4\cdot5}{4\cdot24}=\frac{5}{24}\Rightarrow5\colon24 \end{gathered}\)5)
\(\begin{gathered} \frac{24}{16} \\ \text{Greatest common factor of 24 and 16 is 8.} \\ \frac{24}{16}=\frac{3\cdot8}{2\cdot8}=\frac{3}{2}\Rightarrow3\colon2 \end{gathered}\)when given a choice of a favorite pet, 32% of children choose a dog and 24% of children choose a cat. if 175 kids were asked what their favorite pet was, how many would choose a cat?
Answers
Answer:
42
Step-by-step explanation:
24% of 175 = 0.24 * 175 = 42
Answer:
175 x .24= 42 kids
...............
Given 9y^0
A. Simplify the expression for y=3.
B. Will the value of the given expression vary depending on y? Explain
Answers
Answer:
a) 9
b) Yes
Step-by-step explanation:
a) 9y\( {}^{0} \)
Evaluate for y=3
9(3\( {}^{0} \))
=9(1)
=9
b) Without the value of y, we can't find the answer to the question cause their are no like terms
Tell me if this is right
Answers
Answer:
what I'm bored
Step-by-step explanation:
what's u need help with anything I'
ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
R
T
? Round to the nearest hundredth. Enter your answer in the box.
Answers
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)
1) Convert 2-7i to trigonometric form
2) Use the n-th roots theorem to find the requested roots of the given complex number.
Find the cube roots of 125
Answers
Answer:
1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)
2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)
Step-by-step explanation:
Problem 1
\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)
Problem 2
\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)
\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)
\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)
Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)
6. Which of the following function pairs are inverses?
Answers
f(x) = 2x + 3 and g(x) = \(\dfrac{x+3}{2}\) ✔
This function pairs are Inverse.
if the nth term of a sequence is n^2 -3, find the first 3 terms and the 10th term.
Answers
Answer: -2, 1, 6,...97
Step-by-step explanation:
1st term: 1^2 - 3 = -2
1^2 = 1
1-3=-2
2nd term: 2^2-3 = 1
2^2 = 4
4-3=1
3rd term: 3^2-3 = 6
3^2 = 9
9 -3 = 6
10th term: 10^2-3 = 97
10^2 = 100
100-3=97
The dial on a combination lock contains markings which represent the numbers from 0 to 39. How many 3-
number combinations are possible if the first and the second must be different odd numbers, while the third
number must not be an odd number?
a. 7600
b. 8000
c. 59280
d. 57720
e. 43520
Answers
Answer:
C
Step-by-step
c
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows.
How are the percentages distributed? Is the distribution skewed? Are there any gaps?
How are the percentages distributed? Is the distribution skewed? Are there any gaps?
Percent of Wetland
0] 9
1] None
2] 0 4 7
3] 0 3 5 5 5 7 8
4] 2 2 5 5 8
5] 0 0 1 1 5 9 9
6] 0 8
7] 1
8] 7 7 9
9] 0
a. These data are fairly symmetric, perhaps slightly skewed right.
b. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.
c. The percentages are concentrated from 20% to 60%.
Answers
Answer:
The solution can be defined as follows:
Step-by-step explanation:
Wetland Percentage:
\(0] 9\\\\1] None\\\\2] 0 4 7\\\\3] 0 3 5 5 5 7 8\\\\4] 2 2 5 5 8\\\\5] 0 0 1 1 5 9 9\\\\6] 0 8\\\\7] 1\\\\8] 7 7 9\\\\9] 0\\\)
These details are very symmetrical, perhaps pretty biased.There might be a gap whereby shows that none of the 48 lowest states have lost 10 to 19% of all its wetlands.These statistics were distributed between 20% and 60%.You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a tip. What percent tip did you leave? SHOW WORK PLEASE
Answers
Answer:
87.3%
Step-by-step explanation:
you got 3 candy bars. The cost for each is $0.89
So, 3 x 0.89= $2.67
Gave $5 and the difference between $2,67 is 2.33
5-2.67=2.33
The change was 2.33 and the cost was 2.67 so the % tip was
2.33/2.67= 0.873=87.3%
Answer:
Approximately 87.02% tip was left.
Step-by-step explanation:
The total cost of the three candy bars is 3 x $0.89 = $2.67.
so the total amount spent is $2.67.
You gave the cashier $5 and told them to keep the change, which is $5 - $2.67 = $2.33.
Therefore, the tip you left is $2.33.
To calculate the percentage tip:
(total cost of the three candy bars/the tip you left) x 100
which is equal to:
($2.33 / $2.67) x 100% ≈ 87.20%
So you left approximately an 87.20% tip.
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Solve Step 3 onlyTherefore, the solutions of the original equation are the following. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
Answers
ANSWER:
\(x=\pi n, \frac{3\pi}{2}+2\pi n\)EXPLANATION"
Given:
\(\sin x(\sin x+1)=0\)Having solved Step 1 and Step 2 as seen above, we can go ahead and write the solutions of the equation as seen below;
\(\begin{gathered} If\text{ }\sin x=0 \\ \therefore x=\pi \\ \\ If\text{ }\sin x=-1 \\ then\text{ }x=\frac{3\pi}{2} \\ \\ So\text{ }the\text{ }solution\text{ }will\text{ }be; \\ x=\pi n,\frac{3\pi}{2}+2\pi n \end{gathered}\)
Simplify
7^8x 7^3x 7^4
———————-
7^9x 7^5
Answers
Answer:
7
Step-by-step explanation:
\(a^{m}*a^{n}=a^{m+n}\\\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{7^{8}*7^{3}*7^{4}}{7^{9}*7^{5}}=\dfrac{7^{8+3+4}}{7^{9+5}}\\\\=\dfrac{7^{15}}{7^{14}}\\\\\\=7^{15-14}=7^{1}\\\\= 7\)
Answer:
7^1
Step-by-step explanation:
since all the bases are same, we're going to use the law (a^m × a^n = a^m+n)
8+3+4= 15, hence, it's 7^15
we'll apply the same law for the denominator, 9+5= 14, so we'll get 7^15 ÷ 7^14
next we're gonna use the law (a^m ÷ a^n = a^m-n where m>n)
15-14 = 1
so our final answer is 7^1
Estimate how long it would take an investment of £100 to double with a compound interest rate of 3%
Answers
Answer:
£205.26
Step-by-step explanation:
Year Interest Total
Interest Balance
0 -- -- £100.00
1 £3.04 £3.04 £103.04
2 £3.13 £6.18 £106.18
3 £3.23 £9.41 £109.41
4 £3.33 £12.73 £112.73
5 £3.43 £16.16 £116.16
6 £3.53 £19.69 £119.69
7 £3.64 £23.34 £123.34
8 £3.75 £27.09 £127.09
9 £3.87 £30.95 £130.95
10 £3.98 £34.94 £134.94
11 £4.10 £39.04 £139.04
12 £4.23 £43.27 £143.27
13 £4.36 £47.63 £147.63
14 £4.49 £52.12 £152.12
15 £4.63 £56.74 £156.74
16 £4.77 £61.51 £161.51
17 £4.91 £66.42 £166.42
18 £5.06 £71.49 £171.49
19 £5.22 £76.70 £176.70
20 £5.37 £82.08 £182.08
21 £5.54 £87.61 £187.61
22 £5.71 £93.32 £193.32
23 £5.88 £99.20 £199.20
24 £6.06 £105.26 £205.26
Factors of (9y^-12)-(12-16)
Answers
Answer:
4y^12+9 over y^12
Step-by-step explanation:
hope it helps
2+24/654-7986x76483=
Answers
Answer:
-610793236
Step-by-step explanation:
2+24/654-7986x76483 (punch it in the calculator)
= -610793236
or if you need to "show your answer"
2+24/654-7986x76483
= 2+24/654-610793238
= 2+ 0.36- 610793238
= 2+ (-610793238)
= - 610793236
a(x+1)-b(x+1) hhhhhhh
Answers
Hey there!
a(x + 1) - b(x + 1)
= a(x) + a(1) - b(x) - b(1)
= ax + 1a - bx - 1b
= ax - bx + a - b
Therefore, your answer SHOULD BE:
ax - bx + a - b
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The following equation is true for all values of x. What number completes the equation?
Show your work.
5y + 2(3y − 1) = ⬜y − (y + 2)
Answers
The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is
5y + 2(3y − 1) = 12 y − (y + 2)
How to find the number that can complete the equationThe number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side
The comparison will show the number that can fit in the blank
Simplifying the equation at the left hand side of the equation
= 5y + 2(3y − 1)
= 5y + 6y − 2
= 11y - 2
Simplifying the equation at the right hand side of the equation
= ⬜y − (y + 2)
let x represent the missing number
= xy − (y + 2)
= xy − y - 2
comparing both equations
11y - 2 = xy − y - 2
11y = xy − y
11y + y = xy
12y = xy
x = 12
The missing value = 12
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4 There are between 20 and 50 flags.
They can be shared equally among
2 tents or 4 tents or 5 tents.
How many flags are there?
Answers
When there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents. The number of flags will be 40.
How to illustrate the information?From the information, there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents.
It should be noted that this simply means that we should find the highest multiple for 2, 4, and 5 between 20 and 50. This is 40.
Therefore, the number of flags is 40.
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A camcorder costing 150 has a markup rate of 35% . Find the markup.
Answers
(Please someone help me!)
Answers
The ordered pair we are looking for is the values of the variables \(x\) and \(y\), or \((x, y).\) We are given that \(x=2\), and that the formula to evaluate \(y\) is \(y = 5^x\). Note we are given \(x\) so we can evaluate \(y\) as \(y = 5^2 = 25\). Now, we have both the values of \(x\) and \(y\), so our ordered pair is thus \((x,y) = (2,25).\)
Please help me solve the problem in the image. I found that a=-65 and b=17 and when I plug it in the equation it’s wrong
Answers
Answer:
-181 - 79x
Step-by-step explanation:
I am not sure your comment fits the given problem.
I get the following approach and solution :
T(1 + 4x) = 1×a + 4x×b = 2 + 2x
a = 2 + 2x - 4xb
T(4 + 15x) = 4×a + 15x×b = -3 + 3x
4×(2 + 2x - 4xb) + 15xb = -3 + 3x
8 + 8x - 16xb + 15xb = -3 + 3x
11 + 5x - xb = 0
11 + 5x = xb
b = (11 + 5x)/x
a = 2 + 2x - 4x(11 + 5x)/x = 2 + 2x - 44 - 20x = -42 - 18x
T(3 - 5x) = 3×a - 5xb = 3(-42 - 18x) - 5x(11 + 5x)/x =
= -126 - 54x - 55 - 25x = -181 - 79x
control :
T(1 + 4x) = a + 4xb = -42 - 18x + 44 + 20x = 2 + 2x
T(4 + 15x) = 4a + 15xb = -168 - 72x + 165 + 75x = -3 + 3x
Help please !! due in 1 hour
Answers
Find the surface area of the box shown
Answers
Use the number line below, where RS= 5y +5, ST = 4y + 8, and RT = 67.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)
Answers
Answer:
y = 6RS = 35ST = 32Step-by-step explanation:
The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.
SetupRS +ST = RT
(5y +5) +(4y +8) = 67
SolutionSimplifying, we get ...
9y +13 = 67
9y = 54 . . . . . . . . subtract 13
y = 6 . . . . . . . . . divide by 9
RS = 5y +5 = 5·6 +5 = 35
ST = 4y +8 = 4·6 +8 = 32
The values of interest are ...
y = 6RS = 35ST = 32Say that a woman and a man (who are unrelated) each has two children. We know that at least one of the woman's children is a boy and that the man's oldest child is a boy. Can you explain why the chances that the woman has two boys do not equal the chances that the man has two boys?My algebra teacher insists that the probability is greater that the man has two boys, but I think the chances may be the same. What do you think?
Answers
Therefore, the probability that a woman will give birth to two boys is only one in three, whereas the probability that a man will do so is one in two.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here,
The woman may have at least one boy in the three following ways: 1) older boy, younger girl; 2) older girl younger boy; 3) older boy, younger boy.
But the man's children may be distributed in only two ways: 1) older boy, younger girl; or 2) older boy, younger boy.
So the chances are only 1 out of 3 that the woman has two boys, but the chances are 1 out of 2 that the man has two boys.
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in your brains you want a ___ between excitary and inhibitroy signals
Answers
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
Since, We know that;
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.
Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.
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find the inequality represented by the graph
Answers
Answer:
y > 1/3x - 3Step-by-step explanation:
Finding the line using the points:
(0, -3) and (3, -2)The equation:
y = mx + bThe slope is:
m = (-2 + 3)/(3-0) = 1/3y- intercept is -3So the line is:
y = 1/3x - 3As per the graph the line is dotted and the shaded area is above the line,. so the inequality is:
y > 1/3x - 3Hope this help!!!
Have a nice day!!!
