Answer:
not sure if the answer is obvious but I'd say $6.89 + t = $8.00
Step-by-step explanation:
so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart
after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this
$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip
now continue checking your answer next is , $6.89 - t = $8.00
which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11
hopefully that help maybe i can get brainlist?!
Answer:
6.89 + t = 8.00
Step-by-step explanation:
it's A
Edge 2021
Use the product of powers property to simplify the expression -2x^3y4x^2y^3
Answer:
= -8x^5 y^4
Step-by-step explanation:
Multiply the numbers: -2 . 4 = -8
-2x^3 yx^2 y^3
Simplify x^3 x^2 : x^5
= -8x^5yy^3
Simplify yy^3 : y^4
= -8x^5 y^4
How can I express this as a single power with positive exponents?
Answer:
5^1
Step-by-step explanation:
[tex]\sqrt{5} =5^{\frac{1}{2} }[/tex] (law of indices - fractional powers)
after converting all the numbers to this form:
[tex]\frac{5^{{\frac{2}{3} } } * 5^{\frac{1}{2} } }{5^{\frac{1}{6} } } \\[/tex]
combine using law of indices:
5^(2/3+1/2-1/6) = 5^1
Identify the perimeter and area of an equilateral triangle with height 12 cm. Give your answer in simplest radical form.
Answer:
perimeter is 36 cm
Step-by-step explanation:
3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
b) Given that y = 1/2 determine the value of k.
Answer:
(a): x is 3 and ky is -1
(b): k is -2
Step-by-step explanation:
Let: 3x + ky = 8 be equation (a)
x - 2 ky = 5 be equation (b)
Then multiply equation (a) by 2:
→ 6x + 2ky = 16, let it be equation (c)
Then equation (c) + equation (b):
[tex] { \sf{(6 + 1)x + (2 - 2)ky = (16 + 5)}} \\ { \sf{7x = 21}} \\ { \sf{x = 3}}[/tex]
Then ky :
[tex]{ \sf{2ky = 3 - 5}} \\ { \sf{ky = - 1}}[/tex]
[tex]{ \bf{y = \frac{1}{2} }} \\ { \sf{ky = - 1}} \\ { \sf{k = - 2}}[/tex]
Simultaneous equations are used to represent a system of related equations.
The value of k when [tex]y = \frac 12[/tex] is -2
Given that:
[tex]3x + ky = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]y = \frac 12[/tex]
Substitute [tex]y = \frac 12[/tex] in both equations
[tex]3x + ky = 8[/tex]
[tex]3x + k \times \frac 12 = 8[/tex]
[tex]3x + \frac k2 = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]x - 2k \times \frac 12 = 5[/tex]
[tex]x - k = 5[/tex]
Make x the subject in [tex]x - k = 5[/tex]
[tex]x = 5 + k[/tex]
Substitute [tex]x = 5 + k[/tex] in [tex]3x + \frac k2 = 8[/tex]
[tex]3(5 + k) + \frac k2 = 8[/tex]
Open bracket
[tex]15 + 3k + \frac k2 = 8[/tex]
Multiply through by 2
[tex]30 + 6k + k = 16[/tex]
[tex]30 + 7k = 16[/tex]
Collect like terms
[tex]7k = 16 - 30[/tex]
[tex]7k = - 14[/tex]
Divide both sides by 7
[tex]k = -2[/tex]
Hence, the value of constant k is -2.
Read more about simultaneous equations at:
https://brainly.com/question/16763389
Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. This process continues through 3 more generations.
4x4=16 16x3=48 so I think the answer is 48
Pipe A can fill 3 tanks in 8 minutes. Pipe B can fill 5 tanks in 10 minutes. How long will it take for them to fill a single tank if they work together?
Answer:
c =4 4/9 minutes
Step-by-step explanation:
The formula is
1/a + 1/b = 1/c where a and b is the time for each working alone and c is the time working together
1/8 + 1/10 = 1/c
Multiply by 40c to clear the fractions ( 40c is the least common multiple)
40c(1/8 + 1/10 = 1/c)
5c + 4c = 40)
9c = 40
Divide by 9
9c/9 = 40/9
c =4 4/9 minutes
Please help me find which expression is correct
Answer:
IN MY OPINION D NO IS THE CORRECT ANSWER OF YOUR QUESTION.
Answer:
in my opinion d is the correct answer of your questions.
Step-by-step explanation:
Because subtract subtract sign is always add.
hope this will help you
thanks
Please and thank you
Answer:
[tex]-4p^3-3p^2-17p[/tex]
Step-by-step explanation:
Adding a negative number is the same as subtracting a number. Using this logic, we can change the equation to equal this:
[tex]-3p^3+5p^2-2p-p^3-8p^2-15p[/tex]
Combining like terms, we have negative 3p cubed minus another p cubed, which equals negative 4p cubed, we have 5p squared minus 8p squared, which equals negative 3p squared, and we have negative 2p minus 15p, which is negative 17p.
I NEED HELP ASAP
question is in picture
Samantha’s hockey team is fundraising for a trip to Europe! They are aerating lawns to raise money. Aerating lawns is a great service for homeowners because it helps the grass grow new roots and absorb water producing healthier lawns! The team has decided to charge $35/lawn for city sized lots. The rental cost for two aerating machines is $215. Samantha’s team has planned a Saturday to aerate!
Write an equation to relate the fund raised, R, in dollars to the number of lawns, l, aerated during the day.
Samantha’s team was able to aerate 26 lawns in one day! How much money did they raise?
How much money would the team lose if they were unable to aerate due to weather conditions? Is there any possible way they could avoid this potential loss?
Answer:
R = 35l-215
Step-by-step explanation:
total amount they earn = 35l
however, to account for the money used to rent the machines, we have to deduct 215 from the total cost.
hence,
R= 35l-215
total amount they raised = 35(26)-215 = $695
they would lose $215 if they were unable to aerate due to weather conditions
they could avoid this potential loss by checking the weather report before renting the machines
IF a and bare roots of 3x² - 6x + 2=0 ,then find. a, a-b
Answer:
a is 1.58 and b is 0.42
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2} - 6x + 2 = 0 }} \\ { \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ \\ { \sf{x = \frac{ - ( - 6)± \sqrt{ {( - 6)}^{2} - (4 \times 3 \times 2) } }{(2 \times 3)} }} \\ \\ { \sf{x = \frac{6± \sqrt{12} }{6} }} \\ \\ { \sf{x = 1.58 \: and \: 0.42}}[/tex]
An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. D. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference.
Answer:
No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference.
Hence the correct option is option A.
A metal rod will be cut into pieces that are each 1/56 meters long. The rod is 7/8
meters long how many pieces will be made from the rod? Write in simplest form.
7/8 = x/56
x = 7 x 7
so, 49/56 = rod
so, 49 pieces will be made
hope it helps :)
This is a scale drawing of a house where 1 centimeter represents 0.6 meters. What is the height of the house at its highest point? Round to one decimal point, if necessary.
Answer:
Height of the house = 3 meter (Approx.)
Step-by-step explanation:
Given:
Scale model;
1 centimeter = 0.6 meter
According to graph
Height of cube = 5 cube = 5 centimeter
Find:
Height of the house
Computation:
Height of the house = height of the house in scale model x Scale model
Height of the house = 5 x 0.6
Height of the house = 3
Height of the house = 3 meter (Approx.)
The following are the ages (years) of 5 people in a room: 16, 25, 23, 12, 17 A person enters the room. The mean age of the 6 people is now 20. What is the age of the person who entered the room?
Answer: 27
Step-by-step explanation:
Set the age of the person who entered the room as x[tex]Mean=\frac{16 + 25 + 23 + 12 + 17 + x}{6}=20 \\16 + 25 + 23 + 12 + 17 + x=20(6)\\93+x=120\\x=120-93=27[/tex]
Answer:
27 years old
Step-by-step explanation:
There are originally 5 people in the room.
Their ages are: 16, 25, 23, 12, 17
The sum of their ages is: 93
One person enters the room. That person's age is unknown, so we call it x.
The sum of the ages of the 6 people is:
x + 93
There are 6 people in the room now, so the mean age is (total age divided by number of people):
(x + 93)/6
We are told the mean age is 20.
(x + 93)/6 = 20
x + 93 = 120
x = 27
Answer: 27 years old
SOMEONE HELP ME PLEASE
For the given question,
Total number of outcomes
= 6 (i.e. 1, 2, 3, 4, 5 and 6)
Number of favourable outcomes
= 4 (i.e. 3, 4, 5, 6)
So,
[tex]P = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes} \\ = > P= \frac{4}{6} \\ = > P = \frac{2}{3} \\ = > P = 0.6666......[/tex]
[tex]\sqrt[3]{x+1} =2x+2[/tex]
could someone please answer these two
Answer:
SEE BELOW
Step-by-step explanation:
1. find value of m
a^2 + b^2 = c^2
7.5^2+10^2=c^2
15+100=c^2
115=c^2
square it
=10.7 (not answer)
a^2+b^2=c^2
10.7^2+30^2=c^2
114.49+900=c^2
1014.49=c^2
square it
m=31.9
2.20^2 + 21^2 = 841
29^2=841
yes the triangle is right angled !!!
hope this helps :)
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
A and c
Step-by-step explanation:
1) Length arc = r*theta
5.11=1*theta. Theta is 5.11 rads
2) Law of cosines is the correct answer
A. -5x+4y=-20
B. -5x-4y=-20
C. -5x+4y=0
D. 5x+4y=-20
To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample
Answer:
The answer is "Option b".
Step-by-step explanation:
The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.
Which term describes the red curve in the figure bellow?
Answer:
Letter B. Hyperbole is your answer
For the transition matrix P = [0.8 2 0.2 2, 0.3 0.7], solve the equation SP = S to find the stationary matrix S and the limiting matrix Upper P overbar.
Answer:
Stationary matrix S = [ 0.6 0.4 ]
limiting matrix P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]
Step-by-step explanation:
Transition matrix
[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]
solving the equation SP = S ( using Markova chain with 2 states )
stationary matrix, S = [ a , 1 - a ]
given that SP = S
[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] = [ a , 1 - a ]
= a*(0.8) + ( 1 - a ) ( 0.3 ) = a
∴ a = 0.6
hence; stationary matrix S = [ 0.6 0.4 ]
limiting matrix P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
D and C
Step-by-step explanation:
1) You can cross check using desmos.
2) cos(120) is - 0.5
Find the missing side of triangle
Answer:
30.
Step-by-step explanation:
x^2 = 24^2 + 18^2
x^2 = 576 + 324 = 900
x = sqrt900 = 30.
i have the answer, 2-(3/x+2)
i got this from my calculator, however i need another line of working and i’m unsure of the process used to get there
Start with the answer format we want, and work your way toward forming a single fraction like so
[tex]a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\[/tex]
Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
------------------------------------------------
An alternative route:
[tex]\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\[/tex]
I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
------------------------------------------------
Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.
Answer:
a = 2
b = -3
Step-by-step explanation:
the secret is seeing that the numerator (top part of the division) contains 2x. that means 2 times the factor of x in the denominator (bottom part of the division).
so, we want to change the numerator that we can simply say the result is 2 and some rest (remainder).
2×(x+2) would be 2x + 4
aha !
and we have 2x+1 up there. so, what had to happen to get from 2x+4 to 2x+1 ? we had to subtract 3. it to get to 2x+4 we have to add 3.
but if we add 3, we need also to subtract 3 to keep the value of the whole expression the same.
therefore we get
(2x+1)/(x+2) = (2x+4)/(x+2) - 3/(x+2) =
= 2×(x+2)/(x+2) - 3/(x+2) = 2 - 3/(x+2)
find cosØ if sinØ=-12/13 and tanØ>0.
A) -5/12
B) -5/13
C) 12/5
D) -13/12
Answer:
-5/13
Step-by-step explanation:
sin theta = opp / hyp
sin theta = -12 /13
we can find the adj side by using the pythagorean theorem
adj^2 + opp ^2 = hyp^2
adj^2 +(-12)^2 = 13^2
adj^2 +144 =169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = ±5
We know that it has to be negative since it is in the third quad
adj = -5
cos theta = adj / hyp
cos theta = -5/13
Answer:
B) -5/13
Step-by-step explanation:
i hope it will help
plzz mark as brainliest if you want
Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let the distance between points C and D be 100. Find the height AB of the tower.
Picture attached for the problem. Please show your work too. Thanks!
Answer:
[tex]\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24[/tex]
Step-by-step explanation:
We can use the Law of Sines to find segment AD, which happens to be a leg of [tex]\triangle ACD[/tex] and the hypotenuse of [tex]\triangle ADB[/tex].
The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:
[tex]\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}[/tex]
Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is [tex]\angle CAD[/tex]. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:
[tex]\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}[/tex]
Now use this value in the Law of Sines to find AD:
[tex]\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}[/tex]
Recall that [tex]\sin 45^{\circ}=\frac{\sqrt{2}}{2}[/tex] and [tex]\sin 60^{\circ}=\frac{\sqrt{3}}{2}[/tex]:
[tex]AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}[/tex]
Now that we have the length of AD, we can find the length of AB. The right triangle [tex]\triangle ADB[/tex] is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the length of the hypotenuse.
Since AD is the hypotenuse, it must represent [tex]2x[/tex] in this ratio and since AB is the side opposite to the 30 degree angle, it must represent [tex]x[/tex] in this ratio (Derive from basic trig for a right triangle and [tex]\sin 30^{\circ}=\frac{1}{2}[/tex]).
Therefore, AB must be exactly half of AD:
[tex]AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24[/tex]
Answer:
[tex] \displaystyle 25 \sqrt{6} [/tex]
Step-by-step explanation:
the triangle ∆ABD is a special right angle triangle of which we want to figure out length of its shorter leg (AB).
to do so we need to find the length of AD (the hypotenuse). With the help of ∆ADC it can be done. so recall law of sin
[tex] \boxed{ \displaystyle \frac{ \alpha }{ \sin( \alpha ) } = \frac{ \beta }{ \sin( \beta ) } = \frac{ c}{ \sin( \gamma ) } }[/tex]
we'll ignore B/sinB as our work will be done using the first two
step-1: assign variables:
[tex] \sin( \gamma ) = \sin( {60}^{ \circ} ) [/tex][tex]c=AD[/tex][tex] \rm \sin( \alpha ) = \sin( {180}^{ \circ} - ({60}^{ \circ} + {75}^{ \circ} )) = \sin( {45}^{ \circ} ) [/tex][tex]a=100[/tex]step-2: substitute
[tex] \displaystyle \frac{100}{ \sin( {45}^{ \circ} )} = \frac{AD }{ \sin( {60}^{ \circ} )} [/tex]
recall unit circle therefore:
[tex] \displaystyle \frac{100}{ \dfrac{ \sqrt{2} }{2} } = \frac{AD }{ \dfrac{ \sqrt{3} }{2} } [/tex]
simplify:
[tex]AD = 50 \sqrt{6} [/tex]
since ∆ABD is a 30-60-90 right angle triangle of which the hypotenuse is twice as much as the shorter leg thus:
[tex] \displaystyle AB = \frac{50 \sqrt{6} }{2}[/tex]
simplify division:
[tex] \displaystyle AB = \boxed{25 \sqrt{6} }[/tex]
and we're done!
PLZ PLZ PLZ PLZ hurry
Answer:
4/3
Step-by-step explanation:
To find the slope, we can use the slope formula
m= (y2-y1)/(x2-x1)
= ( -1 - -13)/( 3 - -6)
= (-1+13)/( 3+6)
= 12/9
= 4/3
Answer:
G. [tex]\displaystyle \frac{4}{3}[/tex]
Step-by-step explanation:
Hi there!
[tex]slope=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-6,-13) and (3,-1)
[tex]slope=\displaystyle \frac{-1-(-13)}{3-(-6)}\\\\slope=\displaystyle \frac{-1+13}{3+6}\\\\slope=\displaystyle \frac{12}{9}\\\\slope=\displaystyle \frac{4}{3}[/tex]
Therefore, the slope of the line is [tex]\displaystyle \frac{4}{3}[/tex].
I hope this helps!
please ans this question pleaseee
Answer:
[tex]{ \tt{ \tan {}^{4} \theta + { \sec }^{2} \theta }} \\ { \tt{ = ({ \tan }^{2} \theta ){}^{2} + { \sec }^{2} \theta }} \\ = { \tt{ {-(1 - { \sec }^{2} \theta) }^{2} + { \sec }^{2} \theta }} \\ { \tt{ = -(1 - 2 { \sec }^{2} \theta + { \sec }^{4} \theta) + { \sec}^{2} \theta}} \\ { \tt{ = -(1 - { \sec }^{2} \theta) + { \sec }^{4} \theta}} \\ { \tt{ = -{ \tan}^{2} \theta + { \sec }^{4} \theta }} \\ = { \tt{ { \sec}^{4} \theta - { \tan }^{2} \theta}} \\ { \bf{hence \: proved}}[/tex]
