Answer:
2√e√3√f / 3f
Step-by-step explanation:
√4√e / √3√f
2√e / √3√f * (√3√f / √3√f)
2√e√3√f / 3f
A tour group is going sea diving. Sea level is O feet. The ocean
floor is -18 feet. One diver is already at -11 feet. The tour guide
is keeping watch on the deck at 5 feet above sea level directly
above the diver. What is the distance from the tour guide to the
diver? Draw and label a number line to justify your answer.
Answer:
16 feet.
Step-by-step explanation:
Please refer to the attached diagram for the clear understanding of the given question statement.
A is the position of tour guide on deck.
B is the sea level. (Can be considered as zero on the number line)
C is the position of Diver and
D is the point on ocean floor.
Below sea level dimensions are given as negative in the question statement.
As per given statement,
AB = 5 feet
BC = 11 feet (Ignoring the negative sign as negative sign only depicts that it is below sea level)
BD = 18 feet
To find:
Distance from tour guide to the diver = ?
Solution:
We have to actually find the value of AC here as per the image attached.
AC = AB + BC = 5 + 11 = 16 feet
A portion of a line or Ray that extends from one point to another point is called what
Answer: line segment
Step-by-step explanation:
A line segment is a ray that extends from one point to another. Hope this helps!
Answer:
line segment
Step-by-step explanation:
If a portion of a line has two endpoints (two little black dots on its end), then it is a line segment.
If it has one dot and an arrow, its a ray. This has an endpoint and goes on forever in the direction of the arrow.
plz help me ASAP!!!! Graph the line that represents a proportional relationship between d and t with the property that an increase of 6 units in t corresponds to an increase of 7 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?) The unit rate of change is . Graph the line.
Answer:
7/6
Step-by-step explanation:
You have correctly graphed the line, so you know that the rate of change is ...
∆d/∆t = 7/6
d changes by 7/6 units for each unit change in t.
A. 115
B. 167
C. 126
D. 96
Answer:
126
Step-by-step explanation:
Let x be the missing length
The triangles are similar:
● UE/140 = 45/x
From the graph we deduce that:
● UE = 140 - 90 = 50
Replace UE by its value
● 50/ 140 = 45/x
Switch x and 50
● x / 140 = 45/50
45/50 is 9/10 wich is 0.9
● x/140 = 0.9
Multiply 0.9 by 140
● x = 140 × 0.9
● x = 126
Answer:
I think its c 126
Step-by-step explanation:
help plz anyone :( will mark
Answer:
area of square - area of circle
s² - pie r²
3² - 3.14 x1 x1
9 - 3.14 cm²
your answer is 5.86cm²
this is area of shaded region
nearest hundered is 6cm²
plz brainlist me bro I need it plz
her answer is wrong brainlist me
Answer:
The area of the shaded region is
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the rectangle minus the area of the circle
The rectangle is a square
So.... Plz check rest in the pic!
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
Can someone please explain this to me? I don’t understand it at all.
Segment AB was added to segment BC to get segment AC
representing it as an equation,
AC = AB + BC.
Substitute the values in the equation which means you are going to find the value of x.
77 = x + 16 + 4x +11
77 = 5x + 27
(group like terms)
77 - 27 = 5x
50 = 5x
( divide both sides by 5 to make x stand alone)
50/5=5x/5
10 = x
therefore ,x = 10.
To prove that segment AB =26, place x in the statement
AB = x+16
AB=10+16
AB=26/
write down the missing number in the following 1,,4,9,16,25,?
Answer:
36
Step-by-step explanation:
you know the number based on the sequence
the values increase in the form of x+2
e.g. 4-1=3
9-4=5
16-9=7
25-16=9
you can see the number adds 2 for every increased number
and by following this sequence you will get the number 36
Answer:
by the square of 1, 2 ,3 the sequence has been made
Step-by-step explanation:
1 for 1²
4 for 2²
9 for 3²
16 for 4²
25 for 5²
so the later one will be 36 for 6²
so the answer is 36 thats all
Find a linear inequality with the following solution set. Each grid line represents one unit.
Pllzzzzzzz help!!!!!!!!!!
The equation of the line is y = 3x - 4, so the inequality is y <= 3x - 4.
Answer:
y <= 3x - 4
Standard form: [tex]3x-y-4\geq 0[/tex]
Copy-paste: 3x-y-4>=0
Need help on the third question. how do i generalise the number of ways to win.(check the attatchment)
Answer:
2n+2 ways to win
Step-by-step explanation:
You generalize by observing patterns in the way you solve the smaller problems.
The number of winning moves is 2n+2: the total of the number of diagonals, columns, and rows.
For an n×n board, there are 2 full-length diagonals, n columns, and n rows, hence 2+n+n = 2n+2 ways to win.
Find the value of 7v-6 given that -8v-9=7 Simplify your answer as much as possible 7v-6=
Answer:
-20
Step-by-step explanation:
-8v-9=7
Add 9 to each side
-8v-9+9=7+9
-8v = 16
Divide by -8
-8v /-8 = 16/-8
v = -2
Now find
7v -6
7(-2) -6
-14 -6
-20
Answer:
negative 20?
Step-by-step explanation:
I tried to remember what I learned about a year ago...
after allowing 20 percent discount on the marked price of a radio 15 percent vat is levied on it , if its price become rs 22080 ,what amount was levied in the vat
Answer:
Step-by-step explanation:
Hello, let's say that the price was P, a real number.
After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)
= P * 0.8
And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)
= P * 0.8 * 1.15
And this is equal to 22080, so
P * 0.8 * 1.15 = 22080
and the amount of the VAT is P *0.8 * 0.15
[tex]=\dfrac{22080}{1.15}*0.15=2880[/tex]
Hope this helps.
Thank you.
Determine the standard form of the equation of the line that passes through (-6, 6) and (3, -2). A. -8x + 9y = -6 C. -8x -9y = 6 B. 8x + 9y = 6 D. 9x - 8y = 6
Answer:
B. 8x + 9y = 6
Step-by-step explanation:
You can eliminate answer choices A and C because their leading coefficient is negative. In standard form, the leading coefficient is positive.
For the remaining two equations, you can check to see if the given points are on the line
B: for point (-6, 6), we want 8(-6) +9(6) = 6 . . . true
for point (3, -2), we want 8(3) +9(-2) = 6 . . . . true
The appropriate equation is 8x +9y = 6.
D: (we don't need to check to know it won't work after the above)
__
The equation in standard form, can be written from ...
(Δy)(x -a) = (Δx)(y -b) . . . . . for some point (a, b)
The values of Δx and Δy are the differences between corresponding coordinates.
Δy = 6 -(-2) = 8
Δx = -6 -3 = -9
For point (-6, 6), the above equation becomes ...
8(x +6) = -9(y -6)
8x +48 = -9y +54 . . . . eliminate parentheses
8x +9y = 6 . . . . . . . . . . add 9y-48
heeelllpppppppppppppppp
Answer:
2/5m - 1/5
Step-by-step explanation:
2(1/5m - 2/5) + 3/5
= 2/5m - 4/5 + 3/5
= 2/5m - 1/5
Answer:
[tex]\frac{2m-1}{5}[/tex]
Step-by-step explanation:
[tex]2\left(\frac{1}{5}m-\frac{2}{5}\right)+\frac{3}{5}\\\\2\left(\frac{1}{5}m-\frac{2}{5}\right)=2\left(\frac{m}{5}-\frac{2}{5}\right)\\\\\frac{m}{5}-\frac{2}{5}=\frac{m-2}{5}\\\\=\frac{2\left(m-2\right)}{5}+\frac{3}{5}\\\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{2\left(m-2\right)+3}{5}\\\\\mathrm{Expand}\:\left(m-2\right)\cdot \:2+3:\quad 2m-1\\\\=\frac{2m-1}{5}[/tex]
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made of a sketch, she spent minutes sketching.
Answer:
A. 9
Step-by-step explanation:
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m=12s where m is the number of minutes and s is the number of sketches if Lori made 3/4 of a sketch she spent A.9 B.12 C.16 D.20 minutes sketching
Solution
m= number of minutes
s= number of sketches
Equation is
m=12s
If Lori made 3/4 of the sketch, then the time spent is ?
s=3/4
m=?
m=12s
m= 12 × 3/4
=36/4
=9
m=9
If Lori made 3/4 of the sketch, then she spent 9 minutes sketching.
Answer:
I hope this helps
Step-by-step explanation:
A player has 15 hits in 34 times at bat and then gets another hit. Did the batting average increase explain
The population distribution of SAT scores is normal with a mean of μ=500 and a standard deviation of SD=100. For example, what is the probability of randomly selecting an individual from this population who has an SAT score greater than 700?
Answer:
0.02275
Step-by-step explanation:
We use the z score formula to solve for this
z-score is given as: z = (x-μ)/σ
where x is the raw score,
μ is the population mean
σ is the population standard deviation
In the above question:
mean of μ=500
a standard deviation of SD=100
raw score x = 700
Hence, z score = (700 - 500)/ 100
= 200/100
= 2
z score = 2
Using the z score table of normal distribution to find the Probability of z = 2
P( x = z)
= P(x = 700)
= P( z = 2)
= 0.97725
P(x>700) = 1 - P(x = 700)
= 1 - 0.97725
= 0.02275
Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275
show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle
Answer:
the sides are different lengths as shown in the diagram
Step-by-step explanation:
Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.
A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.
jawaban dari 5x – 7 = 13 adalah....... dijawab ya....
Answer:
x = 4
Step-by-step explanation:
5x - 7 = 13
5x = 13 + 7
5x = 20
x = 20/5
x = 4
Find the product of all real values of $r$ for which $\frac{1}{2x}=\frac{r-x}{7}$ has exactly one real solution.
Answer:
-14
Step-by-step explanation:
Observe first that $x=0$ is not a solution to the equation since it makes the denominator of $\frac{1}{2x}$ equal to 0. For $x\neq 0$, we may multiply both sides by both denominators and move all the resulting terms to the left-hand side to get $2x^2-2rx+7=0$. Observe that there are two ways the original equation could have exactly one solution. Either $2x^2-2rx+7=0$ has two solutions and one of them is 0, or else $2x^2-2rx+7=0$ has exactly one nonzero solution. By trying $x=0$, we rule out the first possibility.
Considering the expression $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ for the solutions of $ax^2+bx+c=0$, we find that there is exactly one solution if and only if the discriminant $b^2-4ac$ is zero. Setting $(-2r)^2-4(2)(7)$ equal to 0 gives $4r^2-4(14) = 0$. Add 4(14) and divide by 4 to find $r^2=14$. The two solutions of this equation are $\sqrt{14}$ and $-\sqrt{14}$, and their product is $\boxed{-14}$.
The value of r from the given equation is r=(2x²+7)/2x.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is [tex]\frac{1}{2x}=\frac{r-x}{7}[/tex].
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By cross multiplication, we get
7=2x(r-x)
7=2rx-2x²
2rx=7+2x²
r=(2x²+7)/2x
Therefore, the value of r from the given equation is r=(2x²+7)/2x.
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Find the perimeter of the rectangle with a A. 11 in. B. 22 in. C. 28 in. D. 56 in.
Answer:
B.22
Step-by-step explanation:
4+4+7+7=22
Divide a 6 and 3/4 inch line into three parts so that each part is 1/4 inch shorter than the one before it.
Answer:
Hey there!
x+x+1/4+x+2/4
3x+0.75=6.75
3x=6
x=2
The lines are 2, 2 1/4, and 2 2/4.
Let me know if this helps :)
The three numbers or parts are 2 , 2 1/4 and 2 1/2
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be n = 6 3/4
Now , for the number to be divided into three parts where each number is 1/4 shorter than the one before it ,
Let the first divided number be = x
So , the second number will be 1/4 more than the first number
Second number = x + 1/4
And , the third number will be 1/4 more than the second number
Third number = x + 1/4 + 1/4
= x + 2/4
= x + 1/2
Now, the equation will be
The sum of all three numbers = 6 3/4
So ,
x + ( x + 1/4 ) + ( x + 1/2 ) = 6 3/4
3x + 3/4 = 6 3/4
Subtracting 3/4 on both sides , we get
3x = 6
x = 2
Substituting the values of x in the equation , we get
First number = 2
Second number = 2 1/4
Third number = 2 1/2
Hence , the three numbers or parts are 2 , 2 1/4 and 2 1/2
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whats the factored form of 6x 2 - 8x - 8 = 0
Answer:
x = -2/3 , 2
Step-by-step explanation:
Factor 2 out of 6 x^ 2 − 8 x − 8
2 ( 3 x^ 2 − 4 x − 4 ) = 0
Factor
2 ( 3 x + 2 ) ( x − 2 ) = 0
Set 3 x + 2 equal to 0 and solve for x
x = -2/3
Set x − 2 equal to 0 and solve for x
x = 2
The final solution is all the values that make 2 ( 3 x + 2 ) ( x − 2 ) = 0
x = -2/3 , 2
Hope this can help you
Can someone please help! Thx
Answer:
Hey there!
The angle is 24 degrees.
The angle complementary to the 66 degrees is 24 degrees, and the unknown angle is also 24 degrees because these are alternate interior angles.
Let me know if this helps :)
A player has 15 hits in 34 times at bat and then gets
another hit. Did the batting average increase? Explain.
Answer:
yes, his batting average will increase bcz average of a batsmen is the sum of total hits per ball.
During a catered lunch =, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?
Answer:
30 gallons of tea
Step-by-step explanation:
We are looking at the average of cups of tea per minute but we are given the time frame of lunch in hours, so first, we have to convert the hours to minutes:
There are 60 minutes in 1 hour and lunch is 2 hours long. So, multiply 60 by 2 to get 120 minutes total.
Next, we have to find out the number of cups of tea poured during the lunch. We have been told already that an average of 4 cups of tea are poured a minute.
Therefore, multiply 4 by the total number of minutes for lunch. You will multiply 4 by 20 to get 480 cups of tea poured in total during the catered lunch.
Finally, we have to see how many gallons of tea the caterer should bring. We should know that there are 16 cups in one gallon.
That means we have to divide the total number of cups poured by 16. Divide 480 by 16 to get 30 gallons of tea that the caterer should bring.
at the rate of 50 mph a car can travel 14.6 miles for each gallon of gas used. On a trip Mr. Hanson used 12.5 gallons of gas traveling at a speed of 50 mph. the number of miles covered during the trip was:
Answer:
182.5 miles in the rate of 50 mph.
Step-by-step explanation:
1 gallon = 14.6 miles in the rate of 50 mph
12.5 gallons = ?
12.5 × 14.6 = 182.5 miles in the rate of 50 mph.
The number of miles covered during the trip was 182.5 miles.
Given that, at the rate of 50 mph, a car can travel 14.6 miles for each gallon of gas used. On a trip, Mr Hanson used 12.5 gallons of gas travelling at a speed of 50 mph.
What is a unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, 1 gallon = 14.6 miles at the rate of 50 mph
12.5 × 14.6 = 182.5 miles in the rate of 50 mph.
Therefore, the number of miles covered during the trip was 182.5 miles.
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The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53
Answer:
53$
Step-by-step explanation:
They tell you the equation of how much the coin is worth after x amount of years
Step 1: Substitute x=19 into the equation y=2x+15
y = 2(19) + 15
Step 2: Solve for y
y = 2(19) + 15
y = 38 + 15
y = 53
Therefore the coin is worth 53 dollars after 19 years
Answer:
53
Step-by-step explanation:
Got it correct on Edu. 2020
A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 43 cables and apply weights to each of them until they break. The 43 cables have a mean breaking weight of 774.3 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 90% confidence interval to estimate the mean breaking weight for this type cable.
Answer:
At 90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)
Step-by-step explanation:
Given that:
sample size n =43
sample mean x = 774.3
standard deviation = 15.4
confidence interval = 90%
At C.I of 90% , the level of significance ∝ = 1 - C.I
the level of significance ∝ = 1 - 0.90
the level of significance ∝ = 0.10
The critical value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]
[tex]z_{0.05}[/tex] = 1.64
The margin of error can be computed as follows:
Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times2.3485}[/tex]
Margin of error = 3.8515
The mean breaking weight for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]
= [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]
= ( 774.3 - 3.8515 < μ < 774.3 + 3.8515 )
= (770.4485, 778.1515)
[tex]\simeq[/tex] (770.45, 778.15)
Shawna, Dexter, and Tilana are solving the equation Negative 2.5 (5 minus n) + 2 = 15. Shawna says, "I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction." Dexter says, "I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15." Tilana says, "I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6." Which students are correct? only Shawna and Tilana only Shawna and Dexter only Dexter and Tilana Shawna, Dexter, and Tilana
Answer:
All three students are correct
Step-by-step explanation:
Given
Equation: -2.5(5 - n) + 2 = 15
Required
Which students are correct
To determine which of the students are correct; we have to test each of their solutions
SHAWNA
Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5
[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]
Split fractions
[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]
Simplify each fraction
[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]
Shawna is correct...
DEXTER
Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.
[tex]-2.5(5 - n) + 2 = 15[/tex]
Open brackets
[tex]-12.5 + 2.5n + 2 = 15[/tex]
Dexter is also correct...
TILANA
[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]
Open brackets
[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]
Simplify each bracket
[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]
[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]
[tex]5 - n - 0.8 = -6[/tex]
Tilana is also correct
Hence, all three students are correct
Answer:
All of them are correct
Step-by-step explanation:
The domain of this function is {-12, -6, 3, 15}. y=-2/3x+7 Complete the table based on the given domain.
Answer:
Step-by-step explanation:
Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.
Given function is,
[tex]y=-\frac{2}{3}x+7[/tex]
If Domain (input values) of this function is,
{-12, -6, 3, 15}
Table for the input-output values of this function,
x -6 3 15 -12
y 11 5 -3 15
Answer:
Step-by-step explanation: