Answer:
7.5
Step-by-step explanation:
12/18 = 5/x
12x = 18(5)
12x = 90
/12 /12
x = 7.5
Hope this helps
Logarithms
Please do not answer with a link, not only can I not access it (nor would I be comfortable doing so) but the answer will be immediately deleted.
Answer:
\(\huge\boxed{\sf -2.280}\)
Step-by-step explanation:
Finding value of log₃(4/49):
\(\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\\)
Given that:
log₃4 ≈ 1.262, log₃7 ≈ 1.771
Put the values in the above expression
\(= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}\)
What is the value of (x)
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
Hey There!
The Answer = 2
\(5(x + 2) = 20 \\ x + 2 = 20 \div 5 \\ x + 2 = 4 \\ x = 4 - 2 \\ x = 2\)
Answer:
x=2
Step-by-step explanation:
5(2x+2)=20
5(4)=20
20=20
I NEED HELP
Colman has 2 quarters, 5 dimes, and 3 pennies.
He takes one quarter from his pocket and gives
it to Brady. What is the probability that he will
draw a dime the next time?
Answer:
78
Step-by-step explanation:
which of the following statements is true? which of the following statements is true? scientific concepts are permanent once they have been investigated and supported by data. our data fully explain natural phenomena once we are able to show cause and effect. the scientific process is a continuous process of collecting data and refining hypotheses. when data support a hypothesis, the work on that scientific concept is complete. collecting data that are consistent with a hypothesis proves that the hypothesis is correct.
The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.
Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.
The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.
So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.
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solve the following equation
Answer:
x=1 x=-11
Step-by-step explanation:
first you need to find what two numbers add together to make 10x and multiply together to make 25-
this would be 5
so we can rewrite it as (x+5)(x+5) = 36
which is the same thing as (x+5)^2 =36
then taking the root of both sides we get (x+5)= plus or minus 6
so x=-11 or x equals 1
consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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what is the sum of the first five terms in this series?(picture of problem below)
Provided information:
We know the first 4th terms of the series:
\(6,-\frac{6}{3},\frac{6}{9},-\frac{6}{27}\)We can express this series in summation notation as:
\(\sum_{i\mathop{=}1}^n\frac{6}{(-3)^{i-1}}\)Therefore, the 5th term of the series is:
\(\frac{6}{(-3)^{5-1}}=\frac{6}{(-3)^4}=\frac{6}{81}\)Now, we have to add the first five terms:
\(6+(-\frac{6}{3})+\frac{6}{9}+(-\frac{6}{27})+\frac{6}{81}\)The next step is to convert all fractions to have the same denominator, so:
\(\begin{gathered} 1st:6*\frac{81}{81}=\frac{486}{81} \\ 2nd:-\frac{6}{3}*\frac{27}{27}=-\frac{162}{81} \\ 3rd:\frac{6}{9}*\frac{9}{9}=\frac{54}{81} \\ 4th:-\frac{6}{27}*\frac{3}{3}=-\frac{18}{81} \end{gathered}\)Now, they have the same denominator, it remains the same and we just need to add the numerators:
\(\frac{486-162+54-18+6}{81}=\frac{366}{81}\)And now, let's simplify the fraction by dividing the numerator and denominator by 3:
\(\frac{\frac{366}{3}}{\frac{81}{3}}=\frac{122}{27}\)The answer is A. 122/27
Aka h need to a plastic trim on a shaped window, the window is made using a rectangle and a semi circle, height is 172cm, base is 118cm. Akash estimate that he will need 700cm of plastic trim total, is akash estimate is sensible
Akash estimate of 700cm of plastic trim is not sensible because he needs more than that.
The diagram of the question is below.
The window is made of a semi circle and a rectangular. More like a composite figure.
Composite figure;Composite figure are 2 dimensional figures that combines two or more two dimensional figures. Therefore, the part the plastic trim was applied are those sharp line region. It's like finding the perimeter of the whole shaded region.
He estimate he will need 700 cm of plastic trim in total. Therefore, let check if his estimate is sensible.
Therefore,
whole perimeter where plastic trim will be applied = perimeter of the rectangle + perimeter of the semi circle + 2(radius of the semi circle).radius = 59 cm
perimeter of the rectangle = 2(113) + 2(118) = 462 cm
perimeter of the semi circle = 3.14 × 59 = 185.26 cm
Two radius = 2(59) = 118 cm
Therefore,
whole perimeter where plastic trim will be applied = 462 + 185.26 + 118 = 765.26 cm.
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this is due now pls exsplain
Answer:
B
Step-by-step explanation:
Add 5 to the x coordinate and leave the y coordinate the same.
Helping in the name of Jesus.
Answer:
B.
Step-by-step explanation:
basically it wants you to find the coordinates of the shape after it had been moved. So u measure all four points On the coordinate plane, and B is your answer
Five poitive whole number add up to 47
One of the number i a multiple of 9
The other four number are equal. Work out the reult when the five number are multiplied. Optional working
The multiplication of 5 whole numbers is 16875
Given that
5 positive whole numbers add up to 47
we solve these by using system of equation
let 5 whole numbers be p, q, r, s and t
equation is: p + q + r + s + t = 47
one of the number is a multiple of 9 the other four numbers are equal
let p be the multiple of 9
equation is: p + q + q + q = 47
p + 4q = 47
let's try trial and error method q and p are whole numbers, they cannot be decimal
let p = 9
9 + 4q = 47
4q = 47-9
4q = 38
q = 9.5 it is not whole number, so this is not the number
let p= 18
18 + 4q = 47
4q = 47-18
4q = 29
q = 7.25 it is not whole number, so this is not the number
let p = 27
27 + 4q = 47
4q = 47 -27
4q = 20
q = 5
then multiplication of these 5 whole numbers is
27 * 5*5*5*5 = 27*625=16875
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If J=91 ,L=16 , and K=73 , list the sides of triangle JKL in order from smallest to largest
A. JL, KJ, LK
B. LK, JL, KJ
C. KJ, JL, LK
D. KJ, LK, JL
JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.
How are the angles arranged, from greatest to smallest?JKL, where K is the specified angle, is an example.Acute Angles are the smallest angles. An acute angle is a particular kind of angle that measures less than 90°.an acute angle. The planar surface typically produces obtuse angles.Straight angle. Right angle.Subtract the squares of the other sides, then calculate the square root to determine the shorter side.Reflex angle at its widest point.JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.To learn more about smallest angle refer to:
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4. The admission fee at a play is $2.50 for each child and $4.00 for each adult. On opening night, the 1000 seat auditorium was sold out! When all the money was counted, they had $3400. How many adults attended the opening night's show?
A.100
B.400
C.500
D.600
600 adults and 400 children attended the opening night's show
Let x represent the number of children and y represent the number of adult.
Since 1000 seat auditorium was sold out!, hence:
x + y = 1000 (1)
they had $3400. Hence:
2.5x + 4y = 3400 (2)
Solving equations 1 and 2 simultaneously gives:
x = 400, y = 600
600 adults and 400 children attended the opening night's show.
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The probability of a certain event is 1. Which word best describes this probability?
The probability of an event tells us the chances and if it is maximum or 1 then the event will be a sure event.
What is probability?
The probability of an event occurring is defined by probability.
Probability is the chances of an event occurring in real life example if we toss a coin then the chances of coming head or tell are equal so the probability will be 50% or 0.5.
The mathematical form of probability stands for the number of desired outputs ÷ total number of outputs.
The probability ranges between 0 to 1.
0 means the event cannot happens for example probability of coming 6 in a flipping coin.
1 means the event will definitely happen for example if we have a coin in which both sides are heads then the probability of coming head will be 1.
This type of event in which probability is 1 is called a sure event.
Hence "The probability of an event tells us the chances and if it is maximum or 1 then the event will be a sure event".
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
Growth or Decay? v(t) 476,000(0.79)t
Step-by-step explanation:
.79 is less than one....so it is decay
as 't' gets larger .79^t becomes much smaller
Leonardo Fibonacci is credited with the discovery of the following pattern: 1, 1, 2, 3, 5, 8, 13, .... Describe the pattern in words.
Answer:
see below
Step-by-step explanation:
in words f_0=0 and f_1=1
and f_n=f_(n-1)+f_(n-2)
Kary needs 54 licks for every 3 lollipops she eats. Which option below will complete the table?
Licks 96, Lollipops 1
Licks 108, Lollipops 2
Licks 72, Lollipops 5
Licks 84, Lollipops 4
Answer:
The second one is correct as 108 is double 54
Step-by-step explanation:
Therefore since 54 licks gets one lollipop gone 108 would get 2 lollipops gone
please help me...............
Answer:
150
Step-by-step explanation:
because acute angle is less than 90 degree
A street fair at a small town is expected to be visited by approximately 1000 people. One information booth will be made available to field questions. It is estimated one person will need to consult with the employee at the booth every two minutes with a standard deviation of three minutes. On average, a person’s question is answered in one minute with a standard deviation of three minutes.
What percent of the day will the information booth be busy?
How long, on average, does a person have to wait to have their question answered?
How many people will be in line on average?
If a second person helps in the booth, now how long will people wait in line?
We need to find how long a person has to wait on average to have their question answered, how many people will be in line on average, what percent of the day will the information booth be busy.
The average time that each person takes is 1 minute. Therefore, 30 people can be helped per hour by a single employee. And since the fair lasts for 8 hours a day, a total of 240 people can be helped every day by a single employee. The fair is visited by approximately 1000 people.
Therefore, the percentage of the day that the information booth will be busy can be given by; Percent of the day the information booth will be busy= (240/1000)×100 Percent of the day the information booth will be busy= 24% Therefore, the information booth will be busy 24% of the day.2.
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Help!!!!! please!!!!!
Answer: A
Step-by-step explanation:
In a cylinder A=2πrh+2πr^2. Plugging in the values of the problem gives you about 489.8
Based on the figure below, what is the value of x? (5 points) A right angle is shown divided in two parts. The measure of the angle of one part is 30 degrees and the measure of the other part is 5x plus 15 degrees.
Answer:
Hello! answer: 9
Step-by-step explanation:
Assuming this is a complementary angle (meaning it will add up to 90 degrees)
5 × 9 = 45 45 + 15 = 60 60 + 30 = 90 therefore x = 9 Hope that helps!
Find the quotient
6 1/2 divided by 3/4
Answer:
8 2/3
Step-by-step explanation:
First, we turn 6 1/2 into an improper fraction, which is 13/2. Now, we can write this out as: 13/2 divided by 3/4. When dividing fractions, you reverse the sign to multiplication and you flip the numerator and the denominator of the second number. So, in this case, it would be 13/2 TIMES 4/3 which now we can do! 13*4 is 52 and 2*3 is 6. 52/6 is a number we can simplify. We can divide out a 2, so 52/2 is 26 and 6/2 is 3. 26/3 can be put into a mixed number. 3 goes into 26, 8 times and there is a 2 left over. So our final answer is 6 2/3.
What is the volume of a sphere with a radius of 41 in, rounded to the nearest tenth of a cubic inch?
Step-by-step explanation:
Volume of a sphere is given by
\(V = \frac{4}{3} \pi {r}^{3} \)
Where r is the radius of the sphere
From the question
radius = 41 in
Substitute the value into the above formula
We have
\(V = \frac{4}{3} \times {41}^{3} \pi\)
\( = \frac{275684}{3} \pi\)
= 288695.6097
We have the final answer as
Volume = 288695.6 in³ to the nearest tenthHope this helps you
The answer on deltamath is
288695.6 in³
Use the discriminant to determine the number of real solutions to the equation. 8n^2−7n=−7
Answer: no real solutions
Step-by-step explanation:
8n^2-7n+7=0
a=8, b=-7, c=7
b^2-4ac=(-7)^2-4*8*7=49-224=-175
-175<0
no real solutions
Answer:
Substitute 6 for the variable, n, using parentheses. Then simplify by multiplying 8 and 6. 8(6) = 48. So you have 56 = 48, which is not a true statement. 6 is not a solution to the equation.
Step-by-step explanation:
hope it helps
What is the answer too 14a + 12a2 - 3 + 2a
Answer:
12a2 + 16a - 3
Step-by-step explanation:
you have to put a number and a squared first tham a number and a amd than just a number in that order
Answer:
26a2
-3
23a2+2a
25a2 pliz mark brainlist
Chase Opened a savings account and deposited 800.00 as principal the account earns 11% interest compounded quarterly what is the balance after 7 years
Solution
For this case we can use the following formula:
\(A=P(1+\frac{r}{n})^{nt}\)And we have t= 7 years, n= 4 (quarterly) P = 800 and r= 0.11
and replacing we got:
\(A=800(1+\frac{0.11}{4})^{4\cdot11}=2639.31\)Then the balance would be 2639.31$
16×25×15 =?
4+11÷2=?
?-?=?
Answer:
16x25x15=6000
4+11÷2=9.5
Step-by-step explanation:
1) 16x25x15 is 16 times 25 times 15, which is 6000
2) This question requires BIDMAS/BODMAS. As you start with the multiplication (Brackets Indices Multi Divide Add Subtract) 11÷2 = 5.5, 5.5+4=9.5
A plane flies 457 km east from city A to city B in 42.0 min and then 890 km south from city B to city C in 1.40 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east).
Let’s consider city A as the origin, and let’s define the plane’s displacement in terms of the final point from the starting point.457 km East is represented as +457 km in the x-direction. 890 km South is represented as –890 km in the y-direction.
(a) Magnitude of the plane's displacement: We can use the Pythagorean theorem to calculate the magnitude of the displacement.s = √((Δx)² + (Δy)²)
Where Δx = +457 km and Δy = –890 km.
s = √((+457)² + (–890)²) = 1000 km The magnitude of the plane’s displacement is 1000 km.
(b) Direction of the plane’s displacement: We can use the inverse tangent function to calculate the direction of the displacement. θ = tan⁻¹(Δy / Δx)
Where Δx = +457 km and Δy = –890 km.
θ = tan⁻¹(–890 / 457) = –61.3° The direction of the plane’s displacement is 61.3° South of West.
(c) Magnitude of the plane’s average velocity:To calculate the average velocity, we can divide the displacement by the total time taken. Δt = 42.0 min + 1.40 h = 1.40 h Average velocity, v = Δs / Δt = (1000 km) / (1.40 h) = 714 km/h The magnitude of the plane’s average velocity is 714 km/h.
(d) Direction of the plane’s average velocity:We can use the inverse tangent function to calculate the direction of the average velocity.θ = tan⁻¹(vy / vx)Where vx = 457 km / (42.0 min / 60 min/h) = 653 km/h and vy = –890 km / 1.40 h = –636 km/h.θ = tan⁻¹(–636 / 653) = –46.9°The direction of the plane’s average velocity is 46.9° South of West.
(e) Average speed of the plane:Average speed is calculated by dividing the total distance by the total time taken. Total distance = 457 km + 890 km = 1347 km Total time = 42.0 min + 1.40 h = 2.33 h Average speed = Total distance / Total time = 1347 km / 2.33 h = 579 km/hThe average speed of the plane is 579 km/h.
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y=-1/2X
thank you for your time