Answer:
this may help you.look it once
-1 and 1/4 + - 2 1/2=
Answer:
-3.75 or -3 3/4
Step-by-step explanation:
A tank contains 5832 litres of water. Each day one-third of the water in the tank is removed and not replaced. How much water remains in the tank at the end of 6 days? [Hint: answer 512 litres] Show me the steps
Here is your answer.
A tank contains 5832 litres of water.
Total amount of water in tank = 5832 litres.
Each day one-third of the water in the tank is removed and not replaced.
Since one third of the water is removed for six days.
1st day = 1/3rd of 5832 litres is removed
\( = \dfrac{5832}{3} = 1944\)
Amount of water left = 5832 - 1944 = 3888 litres
2nd day = 1/3rd of 3888 litres is removed
\( = \dfrac{3888}{3} = 1296 \)
Amount of water left = 3888 - 1296 = 2592 litres
3rd day = 1/3rd of 2592 litres is removed
\( = \dfrac{2592}{3} = 864 \)
Amount of water left = 2592 - 864 = 1728 litres
4th day = 1/3rd of 1728 litres is removed
\( = \dfrac{1728}{3} = 576 \)
Amount of water left = 1728 - 576 = 1152 litres
5th day = 1/3rrd of 1152 litres is removed
\( = \dfrac{1152}{3} =384 \)
Amount of water left = 1152 - 384 = 768 litres
6th day = 1/3rrd of 768 litres is removed
\( = \dfrac{768}{3} = 256 \)
Amount of water left = 1768 - 256 = 512 litres
So, 512 litres water remains in the tank at the end of 6 days
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100 Points
What is the value of the logarithmic or exponential expression?
Select True or False for each statement
Answer:
True, False, False-------------------------------------------
Let's simplify left sides of each statement and compare with right sides:
\(3^{5log_32}=3^{log_32^5}=3^{log_332}=32 \implies True\)\(2 ln\ e^{1/4}=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False\)\(e^{2ln e-1}=e^{2*1-1}=e^{2-1}=e^1=e \implies False\)Help ASAP) What is the volume of the rectangular prism? Type the answer in the boxes below. Will Mark Brainliest and look at the picture.
Answer:
3.75 in decimal form and 3 3/4 in fraction form
Step-by-step explanation:
if cos 0 =8/17, what is sin 0?
Answer:
sin=15/17
Step-by-step explanation:
Use the definition of sine to find the value of
sin (0)
sin (0) = opp/hyp
THEN
Substitute in the known values.
sin (0) = 15/17
Find g(x), where g(x) is the translation 2 units left and 4 units down of f(x)=x^2.
Write your answer in the form a(x–h)^2+k, where a, h, and k are integers.
g(x) =
The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)
Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:
g(x) = f(x + 2) - 4
Substituting\(f(x) = x^2:\)
\(g(x) = (x + 2)^2 - 4\)
Expanding the square:
\(g(x) = x^2 + 4x + 4 - 4\)
Simplifying:
\(g(x) = x^2 + 4x\)
Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:
\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)
Therefore, the function g(x) in the form a(x-h)^2 + k is:
\(g(x) = (x + 2)^2 - 4\)
Where a = 1, h = -2, and k = -4.
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Which function is the inverse of f(x) = -5x- 4?
Answer:
Inverse of \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)
Step-by-step explanation:
Let y = -5x-4
Swap y and x
x = -5y -4
Solve for y
x+4 = -5y
\(y=- \frac{x + 4}{5}\) which is the inverse
For the following event, state whether you think the difference between what occurred and what you would expect by chance is statistically significant. Explain.
An airline with a 95% on-time departure rate has 16 out of 300 flights with late departures.
The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.
Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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What’s the correct answer for this question?
Answer:
THE ANSWER OF THIS QUESTION IS CONE
Answer:
B. Cone
Step-by-step explanation:
The flashlight beam is of the shape of a cone
How can the figure below be changed so that it has exactly one lines of symmetry?
B
C
D
Move point Done unit to the left.
Move point C two units to the right.
Move point B one and one-half units to the left.
Move point A one unit to the right.
Answer:
Mov
Step-by-step explanation:
move point b one and one half units to the left
A foot all coach needs to choose 11 players to start on offense. There are 6 freshmen 6sophmores,8 juiniors, and 7 seniors. How many ways can the starting 11 be chosen if the coach wants all seniors to play
The number of ways to choose the starting 11 players with all seniors playing is 4845.
We have,
Since the coach wants all seniors to play, we must choose the remaining
(11 - 7 = 4) players from the remaining (6 + 6 + 8 = 20) players who are not seniors.
The number of ways to choose 4 players from 20 players is given by the combination formula:
\(^{20}C_4\)
= 20! / (4! * 16!)
= 4845
Therefore,
The number of ways to choose the starting 11 players with all seniors playing is 4845.
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Find the value of x.
a:26
b:13
c:60
d 13√3
Answer:
B 13
Step-by-step explanation:
it is an equilateral triangle the degree inside is all 60 so that mean that the side are all the same to
see a triangle has a total of 180 degrees.it already listed 120 degrees so 180-120=60
so since all the degree are all the same number it has to be an equilateral triangle.
Is 2 2/3 odd or even?
Answer: the answer is even.
Mack is playing a video game. Every time he hits a blue target, Mack earn 6 points. Every time he hits a red target, Mack loses 8 points. During one game, he hits the blue target 13 times and the red target 8 times.
Answer:14
Step-by-step explanation:
6x13=78
8x8=64
78-64=14
This is simple ok so
Blue target=6
Red target=-8
6*13=78
8*8=64
78-64=14
hope I helped
Lashonda made $289 for 17 hours at work. At the same rate how much would she make for 7 hours of work?
Answer: $119
Step-by-step explanation:
We will find the rate of dollars per hour by dividing.
$289 dollars / 17 hours = $17 dollars per hour
Next, we will multiply this rate by 7 hours.
7 hours * $17 dollars per hour = $119
43. MODELING - Tornados The typical number of tornados in the United States in May is 11 more than 14 times the typical number of tornados in December. The sum of the typical number of tornados in December and in May is 341. Determine the typical number of tornados in the month of December anf also in the month of May.
The number of tornadoes in December and in May are : 22 and 341
How to solve for the tornadoesLet x be the typical number of tornadoes in December.
The typical number of tornados in May is 11 + 14x.
The sum of the typical number of tornados in December and in May is x + (11 + 14x) = 341.
Combining like terms, we get 15x + 11 = 341.
Subtracting 11 from both sides, we get 15x = 330.
Dividing both sides by 15, we get x = 22.
So the typical number of tornados in December is 22, and the typical number of tornadoes in May is 11 + 14x = 11 + 14 * 22 = 341.
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Find the length of the third side. If necessary, round to the nearest tenth. | example question
Given:
The length of the two sides of the right triangle is 20 units and 15 units.
Use the Pythagorean theorem to find the third side of the triangle,
\(\begin{gathered} \text{hypotenuse}^2=side^2+side^2 \\ =20^2+15^2 \\ =400+225 \\ =625 \\ \text{Take square root on both sides} \\ \text{hypotenuse}=\pm\sqrt[]{625} \\ =\pm\sqrt[]{25^2} \\ =\pm25 \\ \text{But length can not be negative} \\ \Rightarrow\text{hypotenuse}=25 \end{gathered}\)Answer: The length of the third side is 25 units.
The minor arc measures of circle Z are shown in the figure.
Use the drop-down menus to complete each statement.
1) Angle UZT is congruent to angle _____
2) Angle VZW is congruent to angle____
Answer choices
1) a. TZY, b. XZW, c. VZW
2) a. UZV, b. TZY, c. YZX,
1)Angle UZT is congruent to angle b. XZW.
2)Angle VZW is congruent to angle c. YZX.
In circle Z, angles that intercept the same arc are congruent. Therefore, to determine which angles are congruent, we need to look at the arcs they intercept.
Angle UZT intercepts minor arc XT, and angle XZW intercepts minor arc XW. Since the measure of arc XT is equal to the measure of arc XW (both are 60 degrees), angle UZT and angle XZW must be congruent.
Angle VZW intercepts minor arc VW, and angle YZX intercepts minor arc YZ. Since the measure of arc VW is equal to the measure of arc YZ (both are 120 degrees), angle VZW and angle YZX must be congruent.
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On a cold winter day, the temperature in minimal was 12 degrees below zero. On the same day, the temperature in Anchorage was-21 Degrees below zero. In which city was it colder? Explain how you know...
Please help
Answer:Minneapolis was colder because −14<−23.
Step-by-step explanation:Here are the low temperatures (in Celsius) for one week in Juneau, Alaska:
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
5 -1 -6 -2 3 7 0
Arrange them in order from coldest to warmest temperature.
On a winter day, the low temperature in Anchorage was 23 degrees below zero (in ∘C ) and the low temperature in Minneapolis was 14 degrees below zero (in ∘C ). Sophia wrote,
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
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 )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
please help me answer this question thank you
Answer:
A
Step-by-step explanation:
If the rate of markup on selling price is 40%, what is the rate of markup on cost.
Refer to the attachment.
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
2x + 3y = 13.\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
First, let's solve for x.
\( \sf \: 2 x + 3 y = 13\)
Subtract 3y from both sides.
\( \sf \: 2x=13-3y \)
Divide both sides by 2.
\( \sf\frac{2x}{2}=\frac{13-3y}{2} \\ \)
Dividing by 2 undoes the multiplication by 2.
\( \boxed{ \boxed{\bf \: x=\frac{13-3y}{2} }}\)
Now, let's solve for y.
\( \sf \: 2 x + 3 y = 13\)
Subtract 2x from both sides.
\( \sf \: 3y=13-2x \)
Divide both sides by 3.
\( \sf \: \frac{3y}{3}=\frac{13-2x}{3} \\ \)
Dividing by 3 undoes the multiplication by 3.
\( \boxed{ \boxed{ \bf \: y=\frac{13-2x}{3} }}\)
Please if you know the answer tell me it and the steps also thank you.
Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.
Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..
Divide four people into three rooms, in which only one room could host two people. How many ways are there to arrange them so that A, B are not in the same room
Step-by-step explanation:
AC B D
AD B C
A BC D
A BD C
hope it's right
y=x^2-2x+7
i need help finding the axis of symmetry,the domain, the y-intercept and x intercept
The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .
Explain about the features of parabolic function?A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.
The following characteristics define a basic parabola:
The y-axis, a symmetry axis, is where it is symmetric.At the origin, marking the minimal turning point, y has its minimum value. It is sometimes referred to as the parabola's vertex.The parabola's arms are infinitely long.Thus, from the given graph the value are obtained as:
the axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .Know more about parabolic function
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Jeremy's password is the combination of letters and numbers shown below. He
wants to know the ratio of letters to numbers in this password. Use Jeremy's
password to write the ratio THREE different ways. (Hint: think about the different
formats) 27 R Q A58 E 3 (plz help I know the problem mightseem long but not really)
Answer:
numbers:letters
5:4 (numbers:letters form)
Step-by-step explanation:
There are 5 numbers in the password and 4 letters
Hopefully this helps :)
Evaluate the given algebraic expressions replacing x with −2 and y with 1. 3x2
Answer:
No solutions
Step-by-step explanation:
3x^2=y
3(-2)^2=1
Follow P.E.M.D.A.S.
3(4)=1
12=1
Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).
Answer: 19 years
Step-by-step explanation:
Given
Amount invested \(\$400\)
Rate of interest \(R=6\%\)
after 1-year amount becomes
\(A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424\)
After n years it is
\(A=400\left (1.06\right)^n\)
Sum accumulated is \(\$1200\)
\(\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}\)