Answer:
[tex]\huge\boxed{\bf\: 3:4:2}[/tex]
Step-by-step explanation:
In the given ratio, [tex]12:16:8[/tex], we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.
Now, let's divide the 3 numbers by 4.
[tex]12:16:8\\= \frac{12}{4}:\frac{16}{4}:\frac{8}{4}\\=\boxed{\bf\: 3:4:2}[/tex]
This ratio cannot be further simplified as they don't have any common multiples except for 1.
So, the simplified ratio = [tex]\boxed{\bf\: 3:4:2}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Solve the following system of equations by linear combination: 5x + 2y = 14 y = x – 7 (4, –3) (2, –5) (–5, 2) (–3, 4)
The solution to the system of equations is (-3,4)
How to solve the system of equations?The equations are given as:
5x + 2y = 14
y = x – 7
Substitute y = x – 7 in the first equation
5x + 2(x - 7) = 14
Expand
5x + 2x - 14 = 14
Evaluate the like terms
7x = 28
Divide
x = 4
Substitute x = 4 in y = x – 7
y = 4 – 7
Evaluate
y = -3
Hence, the solution to the system of equations is (-3,4)
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Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.
The increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from y = ± x.
What is a Hyperbola?
This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.
The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.
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Using the image above, what is the measure of Angle E? Round to the nearest hundredth
Answer:
the answer is 30°
Step-by-step explanation:
180°-90°-60°
2. a science museum has a spherical model of the moon with a diameter of 6.4 ft. what is the volume of the model to the nearest cubic foot? show your work.
The volume of the model to the nearest cubic foot is 137 ft³
Volume of a sphereVolume of a sphere = 4/3πr³
π = 3.14Diameter = 6.4 ftRadius, r = diameter / 2
= 6.4 ft / 2
= 3.2 ft
Volume of a sphere = 4/3πr³
= 4/3 × 3.14 × 3.2³
= 4/3 × 3.14 × 32.768
= 411.56608 / 3
= 137.188693333333
Approximately,
Volume of the sphere = 137 ft³
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if r=5 and h=3cm what is the volume of the cone (assume pi =3.14
Answer:
should be 78.5
Step-by-step explanation:
the formula for volume of a cone is V = pi^2 x H/3
so if you plug in the values you get V= 3.14 x5^2 x3/3 making the awsnser 78.5
Calculate each probability, given that P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.1.
P(A | B). Show work!!
Answer:
P(A|B) =0.25
Step-by-step explanation:
P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25
Please someone help me answer this! I will return back
Answer:
Negative correlation
Step-by-step explanation:
You can draw a line of best fit the would go downhill from left to right which would be a negative slope. This means it has a negative correlation.
what is the slope of the liner equation y=7x-2
Answer:
Hence, slope of y=7x−2 is 7 and y -intercept is −2.
Step-by-step explanation:
The equation of any straight line can be written as y=mx+c, where m is its slope and c is its y-intercept.
Comparing the equation y=7x−2 with the standard form of the equation, we get:
m=7,c=−2
Hence, slope of y=7x−2 is 7 and y -intercept is −2
Hope this helps :)
Help me solve this problem please
the mean numbers of point scored is greater than 12 points(C.)
If AD=2:5 the coordinates of point F are. Point E has the coordinates (3.8, -3) and the coordinates of point D are
Using the assumed coordinates of point F, the coordinates of point D are (3,3)
How to determine the coordinates of D?The given parameters are:
Ratio, m : n = 2 : 5
E = (3.8, -3)
The coordinates of point D is calculated using:
[tex]D = \frac{1}{m + n} * (mx_2 +nx_1,my_2 +ny_1)[/tex]
So, we have:
[tex]D = \frac{1}{2 + 5} * (2x_2 +5*3.8,2y_2 +5*-3)[/tex]
Evaluate the sum and the products
[tex]D = \frac{1}{7} * (2x_2 +18,2y_2 -15)[/tex]
Assume the coordinates of point F are:
F = (1.5,18);
The equation becomes
[tex]D = \frac{1}{7} * (2*1.5 +18,2*18 -15)[/tex]
Evaluate
[tex]D = \frac{1}{7} * (21,21)[/tex]
This gives
D = (3,3)
Hence, the coordinates of point D are (3,3)
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12 + 5 + 32 × 10 − 5 =
(12 + 5) + 32 × (10 − 5) =
Add 12 and 5 to get 17.
17 + 32 × 10 − 5Multiply 32 and 10 to get 320.
17 + 320 − 5Add 17 and 320 to get 337.
337−5Subtract 5 from 337 to get 332.
332 ===> Answer
Exercise number 2.(12 + 5) + 32 × (10 − 5)Add 12 and 5 to get 17
17 + 32 (10 − 5)Subtract 5 from 10 to get 5.
17 + 32 × 5Multiply 32 and 5 to get 160.
17+160Add 17 and 160 to get 177.
177 ===> Answer
Kim asked the first 50 kids to school in the morning how they feel about waking up early. she uses their response to predict the responses for the entire school. was her survey random?
Kim's method of sampling the students in the given scenario is said to; It is not a random survey.
What is a random sample?
Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.
In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.
Now, Kim's method is not random because it is biased as only those who came earliest were asked.
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The radius of the surface of the water in the tank is increasing at a rate of 0.25m/min. at what rate is the area of the surface changing when the radius is 1.2m?
Answer:
1.88 m^2/min to the nearest hundredth.
Step-by-step explanation:
Area = π r^2
Using Calculus notation:
dA/dr = 2π r
dr/dt = 0.25 (given)
So the rate of change of area
dA/dt = dA/dr * dr/dt
So when r = 1.2
dA/dt = 2 π * 1.2 * 0.25
= 0.6π m^2/min.
= 1.88 m^2/min to the nearest hundredth.
(SHOW THE SOLUTION)
Step-by-step explanation:
so, you did not pay attention to even the simplest of facts in the class ?
the radius is always half of the diameter, or (in other words), the diameter is always twice the radius.
that is really all there is to this.
please tell me you need actual help to divide something by 2 ?
you need me to be your calculator ? posting the questing and then typing the results in from here is more effort than just to use your own calculator.
1. 12.6/2 = 6.3 cm
2. 31.08/2 = 15.54 ft
3. (10 7/11)/2 = (110/11 + 7/11)/2 = 117/11 / 2 =
= 117/22 = 5 7/22 cm
(you noticed something ?)
4. sqrt(54)/2 = sqrt (54/4) = sqrt(27/2) = sqrt(13.5) =
= 3.674234614... m
5. 10.125/2 = (10 1/8)/2 = 5 1/16 = 5.0625 in
(see again under 3.)
Hey! So I need to study for my Algebra 1 finals can someone link me a video or give me a way to study for algebra 1. I have a week or so
Answer:
Review your state Standards.
Notes
Khan on your topic or grade level
Dealta Math
Math Nation
Complete the function table
Answer:
-3. -5
-2. -4
-1. -3
0. -2
1. -1
formula is f(x)=x-2
question 7. HELP ME WITH THIS
Reduce the expression, if possible, by cancelling the common factors.
−3 is your answer!
have a nice day! please mark brainliest :)
.
PLEASE HELP ME IVE BEEN SITTING HERE FOR HOURS
Answer:
0-9: 4
10-19: 4
20-29: 1
30-39: 4
40-49: 2
Step-by-step explanation:
Since frequency means how many times it showed up in the list
this all adds up to 15, making it an easy check.
hope this helps:)
24. Write a formula to estimate the amount of material required to cover Firm 3's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation)
Formula to estimate the amount of material required to cover firm 1's structure not including the floor is; πr² + πrh
How to Generate Formulas?
From the complete question seen online,
The given parameters are;
The shape of the firm 1's structure = Cylindrical shape
The radius of the firm 1's structure = 35
Height of firm 1 structure = 60
The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base
The formula for the surface area of a cylinder = 2πr² + πrh
If we take away the area of the base, we have;
Surface area of a cylinder excluding the case = 2πr² + πrh - πr² = πr² + πrh
Formula to estimate the amount of material required to cover firm 1's structure not including the floor = πr² + πrh
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Please belpppp don’t understand
Answer:
[tex]3w^2\sqrt[4]{2w^3}[/tex]
Step-by-step explanation:
hope this helps!:)
Help me fast
Can u pls explain the question
AB=AD=8CM
Step-by-step explanation:
I Go To that school
Find the arc length and sectors perimeter of an 85 degree arc of a circle with a finger radius of 4ft
Answer:
Arc length = 5.93 ft
Perimeter = 13.93 ft
Step-by-step explanation:
85/360*2*π*4 = arc length
5.93411946 ft
Perimeter = 4+4+5.93 = 13.93 ft
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Is the relationship between the step number and number of squares a quadratic function.
AnalyzeStep 1 = 2 squares
Step 2 = 6 squares
Step 3 = 12 squares
2, 6, 12
4 6
2
To build a quadratic functionax² + bx + c
2a = 2 ⇒ a = 1
3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1
a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0
Equation: x² + x
Hence, Yes it is a quadratic function.
Answer:
It is quadratic with nth term = n^2 + n.
Step-by-step explanation:
Number of squares in each term = 2, 6 and 12
Differences between these are 4 and 6
6 - 4 = 2
This is an indication of a quadratic function with n^2 the first term.
Value of n^2 for first 3 terms
= 1 4 9 and the terms are:
2 6 12
Differences 1 2 3
This last term = n
So the quadratic function for this sequence is
n^2 + n.
Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of
sources. For each water source, he has sample with no treatment and a sample treated with the recommended amount of the water softener
salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is
v because the sample is
v . In this instance, an
v study was
performed.
The conclusion drawn from the study is valid because the sample is homogenous. In this instance, an experimental study was performed.
What is an experimental study?An experimental study can be defined as a quantitative research method that is used by a researcher to determine and show the effects of changes in the dependent variable, while placing other relevant independent variables under control.
Based on the experimental study conducted by using water from a variety of sources, the conclusion which can be drawn from this study is valid because the sample is homogenous.
In this instance, we can infer and logically deduce that an experimental study was performed.
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does someone mind helping me with this problem? Thank you!
Anyea
Step-by-step explanation:
Answer:
180 inches squared (^2)
Step-by-step explanation:
To find the area of a rectangle, simply multiply the length by the width (15*12)
Don't forget it is squared! Good luck!
Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the start of the year the population is at 10,000 beetles, what will its population be after three years? at the end of the third year the population of beetles will be .
From the calculations, we can see that the number of beetles after three years is 11618 beetles.
What is an exponential problem?The term "exponential problem" has to do with any problem in which the increase or decrease occurs exponentially.
In this case we have P = Poe^rt
Po = 10,000
r = 0.05
t = 3
P = 10,000 e^(0.05 * 3)
P= 11618 beetles
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What’s the circumference to this problem?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].
Hope this helps! Let me know if you have any questions
Solve for x. 8x-6=10x-8
Answer:
x=1
Step-by-step explanation:Let's solve your equation step-by-step.8x−6=10x−8Step 1: Subtract 10x from both sides.8x−6−10x=10x−8−10x−2x−6=−8Step 2: Add 6 to both sides.−2x−6+6=−8+6−2x=−2Step 3: Divide both sides by -2.−2x−2=−2−2 x=1
1 in. = 2 ft. what is the area of the actual living room?
Answer:
........................
Answer:
[tex]144ft^{2}[/tex] (144ft^2)
Step-by-step explanation:
Since the living room is 6 inches by 6 inches, the formula of the living room can be seen as: [tex]6in^{2}[/tex]. And since each inch is equal to 2 feet, (6*2=12) we can turn the equation into: [tex]12ft^{2}[/tex]. 12 times 12 is 144, so the answer is [tex]144ft^{2}[/tex]
If I get 10 dollars a week how much money will I have saved up in 9-years I WILL GIVE 55 POINTS
Answer:
$4,680
Step-by-step explanation:
Rate : 10 dollars a week
Per year : 10 x 52 = $5209 x 520 = $4,680You will have saved up $4,680 in 9 years.