Answer:
-8
Step-by-step explanation:
Use fraction rule, -a over b = -a/b
= -56/7
divide: 56/7 = 8
= -8
28. Two similar triangles have perimeters in the ratio 3:5.
The sides of the smaller triangle measure 3 cm, 5 cm,
and 7 cm, respectively. What is the perimeter, in
centimeters, of the larger triangle?
Answer:
25cm
Step-by-step explanation:
first find the perimeter of the dmaller triangle. perimeter=add all sides
3+5+7=15cm
15cm=⅜
? = ⅝ (cross multiply)
15cm×⅝×8/3=25cm
perimeter of the larger triangle is 25cm
Can someone help me, pls
Answer is attached
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Give y = 3x - 1, if x decreases by 2, how much does y change ?
Una hoja de papel rectangular tiene un área de 84 pulgadas,el ancho del papel es 5 pulgadas menos que el largo¿cual es el ancho,en pulgadas de la hoja de papel ?
Answer: I think the width is 7.
Step by step explanation:
So let's say the length is 12. This means I need to subtract 5 from it, since the width is 5 inches less than the length. Now that we know this, that means the width is 7, which is the area.
I hope this helps.
find the arc length of the polar curve r = e5θ where 0 ≤ θ ≤ 2π.
The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].
What is an arc?To find the arc length of a polar curve, we use the formula:
L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ
where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.
In this case, we have r(θ) = e^5θ, so:
dr(θ)/dθ = 5e^5θ
Plugging these into the arc length formula, we get:
L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ
Simplifying the integrand, we have:
L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ
L = ∫[0,2π] √(26e^10θ) dθ
L = √26 ∫[0,2π] e^5θ dθ
Using the formula for the integral of e^x, we get:
L = √26 [e^5θ / 5] |_0^(2π)
L = √26 [(e^10π - 1) / 5]
So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].
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The iron cross is a skiing trick in which the tips of the skis are crossed while the skier is airborne. Find the value of $x$ in the iron cross shown.
A photo shows the tips of the skis crossed each other while performing iron cross in skiing. Two pairs of opposite angles are formed during crossing. One pair of the opposite is labeled 127 degrees and left parenthesis 2 x plus 41 right parenthesis degrees. PS the image is the given degrees! PLLLSS help I am timed and I need to raise my grades!!!!
Answer:
43 = x
Step-by-step explanation:
well so you have 127 degrees = (2x + 41)
so get the x by itself
127 - 41 = 86
2x + 41 - 41 = 2x
86 = 2x
86 / 2 = 43
2x / 2 = x
43 = x
The value of x is 43°.
Here,
The iron cross is a skiing trick in which the tips of the skis are crossed while the skier is airborne.
A photo shows the tips of the skis crossed each other while performing iron cross in skiing.
Two pairs of opposite angles are formed during crossing.
One pair of the opposite angle is 127° and (2x + 41)°.
We have to find the value of x.
What is Vertically opposite angles?
The angles opposite each other when two lines cross called Vertically opposite angles.
Now,
Two pairs of opposite angles are formed during crossing.
One pair of the opposite angle is 127° and (2x + 41)°.
Clearly, Both angle are equal;
2x + 41 = 127
2x = 127 - 41
2x = 86
x = 43
Therefore, Value of x is 43°.
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the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000. the ship building association wishes to find out whether their welders earn more or less than $20,000 annually. the alternate hypothesis is that the mean is not $20,000. if the level of significance is 0.10, what is the decision rule? do not reject the null hypothesis if computed z lies between -1.96 and 1.96; otherwise, reject it do not reject the null hypothesis if computed z lies between -1.65 and 1.65; otherwise, reject it do not reject the null hypothesis if computed z is greater than 1.65; otherwise, reject it reject the null hypothesis if computed z is below -1.96; otherwise, reject it
Answer:
reject
Step-by-step explanation:
a study is conducted to see if a daily exercise intervention affects blood pressure among people with pre-hypertension. one hundred participants are recruited to participate, and half are randomly assigned to participate in the intervention while the others serve as a control group. what study design is being used?
A study is conducted to see if a daily exercise intervention affects blood pressure among people with pre-hypertension. The study design being used is a randomized controlled trial (RCT).
What is a randomized controlled trial?Generally, In an RCT, the study participants are randomly assigned to either the intervention group or the control group. This helps to ensure that any differences between the two groups are not due to preexisting differences between them, but rather are due to the intervention being tested.
In this case, the intervention is a daily exercise intervention, and the outcome being measured is blood pressure among people with pre-hypertension.
The control group serves as a comparison group, and any changes in blood pressure observed in the intervention group can be attributed to the intervention rather than other factors.
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x-4y=-12
what is this supposed to equal
Answer: X- 4y - 12=0
step by step explanation:
First, move the constant to the left by adding its opposite to both sides
x-4y -12 = 12-12 =
X-4y-12 = 0
So the answer is X- 4y - 12=0
A concave shaving mirror has a radius of curvature of +31.5 cm. It is positioned so that the (upright) image of a man's face is 3.40 times the size of the face. How far is the mirror from the face? Number i Units
The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.
Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40
We know that the formula for magnification is given by:
m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :
f = r/2where,f = focal length of the mirror
Using the mirror formula:1/f = 1/v - 1/u
We know that a concave mirror has a positive focal length, so we can replace f with r/2.
We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u
Also, from the given data, we have :m = v/u
Substituting the value of v/u in terms of m, we get: u/v = 1/m
So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u
Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm
Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.
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Sarah has a wooden board that is 12 feet long. If she cuts three 28-inch pieces from the board, how many inches of board will she have left?
Answer:
60 inches
Step-by-step explanation:
12 feet=144 inches
28in x 3 = 84
144-84= 60
Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.
What do we mean by conversion of units?The conversion of units is the process of converting a quantity between multiple units of measurement, usually using multiplicative conversion factors.
What are the conversion factors between inch and foot?The conversion factor between inch and foot are:
1 foot = 12 inches,
or, 1 inch = 1/12 feet.
How do we solve the given question?We are informed that Sarah has a wooden board that is 12 feet long.
We are asked that if she cuts three 28-inch pieces from the board, how many inches of the board will she have left.
To solve the problem, we convert the length of the wooden board from feet to inches.
The board is 12 feet long. We know 1 foot = 12 inches.
∴ 12 feet = 12*12 inches = 144 inches.
∴ Length of the board = 144 inches.
Size of the piece cut by Sarah = 28 inches.
She cuts 3 such pieces,
∴ Total piece of board cut = 3*28 inches = 84 inches.
∴ Length of the board Sarah is left with = Total length of the board - Total piece cut from the board = 144 - 84 inches = 60 inches.
∴ Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.
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Test the series for convergence or divergence.
∑n=1[infinity] n!/ 5⋅11⋅17⋯(6n−1).∑n=1[infinity]n!5⋅11⋅17⋯(6n−1).
Which test is the best test to use for this series?
Select Divergence Test Geometric Test p-Series Test Integral Test Comparison Test Alternating Series Test Ratio Test Root Test .
Let's try Ratio Test:
Compute limn→[infinity]∣∣∣an+1an∣∣∣=limn→[infinity]|an+1an|= . (Note: Use INF for an infinite limit, DNE if the limit does not exist.)
Since the limit is Select > greater than or equal to = less than or equal to < not equal to , the Ratio Test tells us Select that the series converges absolutely that the series converges conditionally that the series diverges nothing .
Answer: The test tells us that the series diverges.
The series ∑n=1[infinity] n!/5⋅11⋅17⋯(6n−1) diverges according to the Ratio Test.
Let's try the Ratio Test:
To test the series for convergence or divergence, the best test to use for this series is the Ratio Test.
Compute lim(n→infinity)|a(n+1)/a(n)| = lim(n→infinity)|((n+1)!5⋅11⋅17⋯(6(n+1)−1))/(n!5⋅11⋅17⋯(6n−1))|.
By simplifying, we get lim(n→infinity)|((n+1)(6n+5))/(6n+5)| = lim(n→infinity)|(n+1)| = infinity (INF).
Since the limit is greater than 1 (INF > 1), the Ratio Test tells us that the series diverges.
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A box contains three blue bulbs, four green bulbs and five red bulbs. Four bulbs were taken out of the box at random and without replacement. What is the probability that a. All the four bulbs are of the same colour
The probability of selecting all four bulbs of the same color is approximately 0.0061.
To calculate the probability that all four bulbs are of the same color, we need to consider the following cases,
1) The probability of selecting the first blue bulb is 3/12 (since there are 3 blue bulbs out of 12 total bulbs). After one blue bulb has been selected, there are 2 blue bulbs left out of 11 total bulbs, so the probability of selecting a second blue bulb is 2/11. Similarly, the probability of selecting the third blue bulb is 1/10, and the probability of selecting the fourth blue bulb is 0/9 (since there are no more blue bulbs left). Therefore, the probability of selecting all four blue bulbs is:
(3/12) × (2/11) × (1/10) × (0/9) = 0
2) Using the same logic as in Case 1, the probability of selecting all four green bulbs is:
(4/12) × (3/11) × (2/10) × (1/9) = 1/495
3) The probability of selecting all four red bulbs is:
(5/12) × (4/11) × (3/10) × (2/9) = 2/495
Therefore, the total probability of selecting all four bulbs of the same color is the sum of the probabilities from Cases 2 and 3
1/495 + 2/495 = 3/495
Simplifying this fraction, we get:
3/495 = 1/165
= 0.0061
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I don't know how to do this one
Answer:
Each side is 1/13 miles long
Step-by-step explanation:
The area of a square is A=s^2 where s is the side length of the square. Remember that a square has all of its sides equal in length to each other. So since we already have the area which is A=1/169mi^2, then we just take the square root of it to get s=1/13. So each side will be 1/13 miles long
he car is 10 feet long and the model is 9 inches long. what is the ratio of the length of the car to the length of the model?responses
The ratio of the length of the car to the length of the model is 13.33.
What is ratio?The division method of comparing two amounts can be quite effective in some circumstances. We can argue that a ratio is the comparison or condensed form of two quantities of the same type.
To find the ratio of the length of the car to the length of the model, we need to convert both lengths to the same units. Let's convert the length of the model from inches to feet:
Length of model = 9 inches / 12 inches per foot
Length of model = 0.75 feet
Now we can calculate the ratio:
Ratio of car length to model length = Length of car / Length of model
Ratio of car length to model length = 10 feet / 0.75 feet
Ratio of car length to model length = 13.33
Therefore, the ratio of the length of the car to the length of the model is 13.33.
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An inequality is shown.
3 < x < 4
Which value of x does not make the inequality true?
A. 15−−√
A. , the square root of 15,
B. 3.3
B. , 3.3, , ,
C. 145
C. , 14 over 5, , ,
D. 12−−√
Answer:
A. the square root of 15
Step-by-step explanation:
I'm not sure
Please help RIGHT NOW PLEASE HELP NOW
1. it describes what the cost would be for two medium lattes and one small latte all together.
2. it would be the first one which is 2x + y = 7.15
Step-by-step explanation:
Mr. Swanson drove 200 miles in four hours at a consistent speed using the graph plot the total distance he drove after each shower in find his consistent speed in miles per hour
16p⁷q⁸÷2p⁴q⁵
whats the answer?
Answer:
\(8 {p}^{3} {q}^{3} \)
Step-by-step explanation:
Hope it is helpful....
what topic is used when discussing the need for relative figures as opposed to absolute figures?
The topic that is typically discussed when referring to the need for relative figures as opposed to absolute figures is comparative analysis or relative measures.
Comparative analysis involves comparing data or figures in relation to other data or a reference point, rather than focusing solely on the absolute values. It helps provide context and a better understanding of the data by considering factors such as proportions, ratios, percentages, or changes over time. Relative figures are particularly important when dealing with data that varies significantly in scale or when comparing data across different contexts or populations. By using relative figures, researchers or analysts can gain insights into patterns, trends, and relationships that may not be evident when looking at absolute figures alone.
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Trey is buying a computer for sale original price was 1200. If the sale price was 5/6 The original price how much did she pay for the computer?
1200 = the original price
5/6 = the discount
1200 x 5/6 = 1000
what is the answer?
Answer:
x^2 - 5x - 6 = (x - 2)(x - 3).
Step-by-step explanation:
f(x) = x^2 - 5x - 6
We need 2 numbers whose product is - 6 and whose sum is -5. They are -3 and -2:
The factors are x- 2 and x - 3.
Answer:
x-6
Step-by-step explanation:
cindy baught 1/4 amount of ribbon and jacob baught 7/8 amount of ribbon how much ribbon does jacob have
Answer:
0.875
Step-by-step explanation:
HELLP ANYONE KNOW THE ANSWER?!
Answer:
2080
Step-by-step explanation:
0.03*1600=48
48*10=480
1600+480=2080
Can someone help pleassssssseeeeee!!!!!!!!!????????? ILL MARK BRAINLIEST!!!!
Answer:
\(b-17\)
Step-by-step explanation:
So, Tanvi started with b buttons.
And she gave away 17.
Since she "gave away," this means that we should use subtraction.
Therefore, she now has b-17 buttons.
Our expression is:
\(b-17\)
A city has a 20% chance of having a flood in any given decade. The table shows the results of a simulation using random numbers to find the experimental probability that there will be a flood in the city in at least 1 of the next 5 decades. In the table below, 1 represents a decade with a flood. The numbers 2 to 5 represents a decade without a flood.
Answer:
4/10=40%
Step-by-step explanation:
Select one the restricted domains of f(x)=(8−2x)2 that will make the inverse of f(x) a function. There may be more than one.
Answer:
\(x\leq 4\) or \(x\geq 4\)
Step-by-step explanation:
We are given that
\(f(x)=(8-2x)^2\)
We have to find the restricted domain of f which make the inverse of f.
Substitute x=4
\(f(4)=0\)
One-to-one function:
The function is called one-to-one when
\(f(x_1)=f(x_2)\) for \(x_1=x_2\)
The function is one-to-one when \(x\leq 4\) or \(x\geq 4\)
When the function is one-to-one then the function has inverse function.
If the function is not one-to-one then function has no inverse .
Therefore, the restricted domain of f which make the inverse of f(x) a function is given by
\(x\leq 4\) or \(x\geq 4\)
Question 7:
g is 60% of h
f is a third of g
Write the ratio f g h in its simplest form.
The ratio of f to g to h is:
1:3:5
How to write the ratio?
First, we know that g is the 60% of h, then we can write:
g = 0.6*h
Now we can write the 0.6 as a fraction, then 0.6 = 3/5.
g = (3/5)*h
So we can write:
5*g = 3*h
So the ratio of g to h is 3:5
Now, we know that f is a third of g:
f = (1/3)*g
3f = g
So the ratio of f to g is:
1:3
notice that the value that represents the proportion of g is 3 in both ratios, so we can just write:
The ratio of f to g to h is:
1:3:5
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Help math almost done thank pleas
Hey there! :)
2^6 means 2*2*2*2*2*2 = 64
5^2 means 5*5 = 25
64*25=1,600
If it is correct, plss mark Brainliest
Infinity please..
What is the slope for 3y+6x=9