Answer:
Step-by-step explanation:
25 km / 100 km/hr = 0.25 hr or 15 minutes
It will take 0.25 hours to travel 25 km.
Given
A train travels from point A to B at a speed of 100km/h.
Distance;
Distance is defined as the product of speed and time.
The following formula is used to calculate the time;
[tex]\rm Time =\dfrac{Distance}{Speed}\\\\[/tex]
Substitute all the values in the formula;
[tex]\rm Time =\dfrac{Distance}{Speed}\\\\\rm Time =\dfrac{25}{100}\\\\Time = 0.25 \ hours[/tex]
Hence, it will take 0.25 hours to travel 25 km.
To know more about distance click the link given below.
https://brainly.com/question/3615948
32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
people were surveyed.
Answer:
360 people
Step-by-step explanation:
[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]
Hope this helped! :)
Write an explicit formula for an, the nth term of the sequence 35,42,49
Hi!
We can see the numbers are increasing by 7, therefore your equation would be:
n = p + 7
"p" represents the previous number, and "n" represents the number you're trying to find.
Hope this helps! :D
Express as a single power.
[tex]\\(a)\\2^3 \times 2^6 \div 2^9 = 2^{3+6} \times \dfrac{1}{2^9} = 2^9 \times 2^{-9} = 2^{9-9} = 2^0 = 1\\\\ \\(b)\\\\(-5)^8 \div (-5)^4 \times (-5)^3\\ \\= (-5)^8 \times \dfrac 1{(-5)^4 \times (-5)^3} \\\\= (-5)^8 \times \dfrac{1}{(-5)^{4+3}} \\\\= (-5)^8 \times \dfrac{1}{(-5)^7} \\\\= (-5)^{8 - 7} \\\\=(-5)^1 \\\\ =-5\\\\\\(c)\\\\\\\dfrac{6^3 \times 6^5}{6^2 \times 6^4}= \dfrac{6^{3+5}}{6^{2+4}}= \dfrac{6^8}{6^6}=6^{8-6}=6^2 =36[/tex]
Which statements best describe an effective claim in an argumentative essay? Select two options. It is precise and clear. It is debatable but cannot be refuted. It is emotional and states an opinion. It states a bias using clear language. It states a fact using precise language
The statements which best describe an effective claim in an argumentative essay are:
A. It is precise and clear.
E. It states a fact using precise language.
An argumentative essay can be defined as a literary work which comprises an expression of a writer's stance (position) on a specific topic or subject matter.
A claim refers to a statement that is used by a writer to prove, substantiate or support an argument. Thus, it is an assertive statement expressed by a writer to prove that an argument is true, factual, and real.
In this context, the main function of an effective claim in an argument is simply to precisely and clearly state a fact based on a writer's opinion.
In conclusion, the following statements which best describe an effective claim in an argumentative essay are:
It is precise and clear.It states a fact using precise language.It is debatable but can't be refuted because it is based on factual and logical reasoning.Read more on argumentative essays here: https://brainly.com/question/11617771
Answer:
Its A and B
Step-by-step explanation
Does the table show a proportional relationship between x and y? Explain.
x y
2 4
4 16
7 79
10 100
Answer:
no
Step-by-step explanation:
if the y 79 was changed to 49 then yes(in that case y=x^2) but the x 7 y 79 messes the relationship up.
Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5
Answer:77°
Step-by-step explanation:
Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.
[tex]F=\frac{9}{5}C+32[/tex]
[tex]F=\frac{9}{5}25+32[/tex]
[tex]F=45+32[/tex]
[tex]F=77[/tex]
The answer is 77°
What is the value of y?
Answer:
80° because 50° 60° 70° and 80°
A function is shown below.
f (x) = 83 - 11
What value of x makes f (20) = 21?
Enter your answer in the grid below.
please help!
Answer:
the answer is 4
Step-by-step explanation:
if y=21 the we substitute in the main equation
21=8x-11
8x=32
x=4
Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]
so then line K has a slope of -5 and pass through (-1, -3)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8[/tex]
If a function is restricted, is there no end behavior?
Answer:
If a function is restricted, it still has an end behavior!!!
Step-by-step explanation:
Let's say we have f(x)=(x-4)^2, x≥4.
If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.
This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.
However, just because this function is restricted doesn't mean it doesn't have an end behavior!
As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:
x --> ∞, f(x) --> ∞
There is no end behavior for the left side because that's where the graph is restricted.
Hope this helps!
he .......... be eating pizza.
He will be eating pizza
S + will + be + V_ing
Please answer this, thank you so much
Answer:
second one
Step-by-step explanation:
Notice that there's a y intercept of 2 and an x intercept of -4
This means that the line has a positive slope of 1/2, which leaves us with
y<(1/2)x+2
An airplane can ascend at a rate of 50 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?
Answer:
78.75
Step-by-step explanation:
Factorise fully each of the following:
(a)
2ab + 3cd - cb - bad
-
-
Answer:
urs 6 2ab ytdguhdd bad wuy
Step-by-step explanation:
blank
. Solve the rational equation x+6 / 3 − x+8 / 5 = 0.
Answer:
x= -3
Step-by-step explanation:
[tex] \frac{x + 6}{3} - \frac{x + 8}{5} = 0[/tex]
Multiply both sides by 15 (LCM of 3 and 5):
[tex] \frac{15(x + 6)}{3} - \frac{15(x + 8)}{5} = 0[/tex]
5(x +6) -3(x +8)= 0
Expand:
5x +30 -3x -24= 0
2x +6= 0
-6 on both sides:
2x= -6
x= -6 ÷2
x= -3
(X+2b)(x-4b) simplified
Answer:
I will ASSUME X = x
x² + 2bx - 4bx - 8b²
x² - 2bx - 8b²
Answer:
[tex]\\\\\\-8b^2-2bx+x^2[/tex]
Step-by-step explanation:
[tex](x+2b)(x-4b)\\=(x+2b)(x+(-4b)\\=(x)(x)+(x)(-4b)+(2b)(x)+(2b)(-4b)\\\\x^2-4bx+2bx-8b^2\\\\-8b^2-2bx+x^2[/tex]
graph the line indicated by the slope, m = - 3, and passing through the point (-4, 1) .
The equation of a line in point slope form is expressed according to the formula;
y-y0 = m(x-x0)
m is the slope of the line(x0, y0) is any point on the lineGiven the following parameters
m = -3
(x0, y0) = (-4, 1)
Substitute into the formula above will givee;
y - 1 = -4(x+4)
y -1 = -4x - 16
y = -4x - 15
Next is to plot the graph of the line y = -4x - 15 on the coordinate plane as shown:
Learn more graphs here: https://brainly.com/question/19011142
Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle? Express your answer as a common fraction
Using the probability concept, it is found that there is a [tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the sides of the segments are chosen is not important, hence, the combination formula is used to find the number of total outcomes.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Total outcomes:
3 segments from a set of 6 lengths, hence:
[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]
Desired outcomes:
Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcome, hence [tex]D = 7[/tex]Then:
[tex]p = \frac{D}{T} = \frac{7}{20}[/tex]
[tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.
To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717
A doughnut shop sells 30 kinds of doughnuts. In how many ways can you get a bag of 12 doughnuts if you want at least 3 glazed doughnuts and at least 4 raspberry doughnuts
Answer:
86493225
Step-by-step explanation:
Hope it helps
mZLOM= 3x – 15°
mZMON = 5x – 23°
Find mZMON:
Answer:
57
Step-by-step explanation:
Together both angles equal 90
(3x - 15) + (5x -23) = 90
Combine like terms
8x - 38 = 90
Add 38 to both sides
8x = 128
Divide by 8
x = 16
You can check by replacing x with 16 and seeing if it still equals 90.
To find angle MON... replace x with 16
5(16) - 23
Angle MON = 57
I hope this helps!!
Help help math pelsss please please
Answer:
162 the answer i think bye have fun
Step-by-step explanation:
please help me ill mark as brainliest and its worth 50
Answer:
C [tex] \dfrac{9a^{12}}{b^3} [/tex]
Step-by-step explanation:
54/6 = 9
a^8 / a^-4 = a^{8 - (-4)} = a^12
b^2 / b^5 = b^-3 = 1/b^3
Answer: C [tex] \dfrac{9a^{12}}{b^3} [/tex]
Answer:
Option C
Step-by-step explanation:
[tex] \sf \dfrac{54 {a}^{8} {b}^{2} }{6 {a}^{ - 4} {b}^{5} } [/tex]
We know that
[tex] \sf \: \frac{ {a}^{m} }{a {}^{n} } = a {}^{m - n} [/tex]
[tex] \sf 9 \dfrac{a {}^{8} {b}^{2} }{ {a}^{ - 4} {b}^{5} } [/tex]
[tex] \sf \: 9 \dfrac{ {a}^{8 - ( - 4)} b {}^{(2 - 5)} }{1} [/tex]
[tex] \sf \: 9 \dfrac{ {a}^{12}b {}^{ - 3} }{1} [/tex]
[tex] \sf \: \dfrac{9 {a}^{12} }{ {b}^{3} } [/tex]
What is 27.6 / 8???????????
Answer:
seriously??
have you heard of calculators lol
the answer is 3.45
Explain the step by step process of finding a function for a hyperbola given the center (1,4), vertices (-7,4) and (9,4), and a point on the hyperbola at (-11, -6). Make sure to include the location of the foci.
NO LINKS!!
Answer:
(x -1)²/64 -(y -4)²/80 = 1foci (-11, 4) and (13, 4)Step-by-step explanation:
The standard form of a hyperbola whose transverse axis is horizontal is ...
(x -h)²/a² -(y -k)²/b² = 1 . . . . center (h, k); transverse axis 2a; conjugate axis 2b
The distance between the two vertices is given as (9 -(-7)) = 16 = 2a, so the value of a is 8 and we have the partial equation ...
(x -1)²/8² -(y -4)²/b² = 1
Filling in the given point value gives us an equation for b².
(-11 -1)²/8² -(-6 -4)²/b² = 1
9/4 -100/b² = 1
5/4 = 100/b²
b² = 80
So, the equation is ...
(x -1)²/64 +(y -4)²/80 = 1
__
The distance between the foci is 2c, where c² = a² +b².
c² = 64 +80 = 144 = 12²
c = 12, so the foci are at ...
(x, y) = (1 ±12, 4) . . . . . . . 12 units either side of the center
The foci are (-11, 4) and (13, 4).
_____
Additional comment
The steps are ...
use the given information to fill in as much of the equation as you can.use any given points or additional information to find the unknown values in the equationdetermine any additional information asked for (foci, asymptotes, ...)The relevant relations are ...
2a = length of transverse axis (distance between vertices)
2b = length of conjugate axis (distance between co-vertices)
±b/a = slope of asymptotes, which are lines through the center
2c = distance between foci, where c² = a² +b²
The equation is (x -h)²/a² -(y -k)²/b² = 1 for a hyperbola that opens horizontally with center (h, k). Swapping variables x and y will give a hyperbola that opens vertically. If the figure opens vertically, the asymptotes will have slope ±a/b.
The distances from a point to the foci have a constant difference of 2a.
What is the least common denominator of this equation
Answer:
LCD = 30
Step-by-step explanation:
[tex]\frac{5}{6}[/tex] x - [tex]\frac{1}{10}[/tex] x = [tex]\frac{2}{15}[/tex]
Multiply through by 30 ( the LCM of 6, 10, 15 ) to clear the fractions
25x - 3x = 4
22x = 4 ( divide both sides by 22 )
x = [tex]\frac{4}{22}[/tex] = [tex]\frac{2}{11}[/tex]
Answer:
5
Step-by-step explanation:
[tex] \frac{5}{6} x - \frac{1}{10} x = \frac{2}{15} \\ \frac{50x - 6x}{60} = \frac{2}{15} (criss \: cross) \\ \frac{44x}{60} = \frac{2}{15 } \\ \frac{11x}{15} = \frac{2}{15} (simplify) \\ 165x = 30(criss \: cross) \\ x = \frac{30}{165} = \frac{6}{33} = \frac{2}{11} \\ x = \frac{2}{11} [/tex]
Nick drives 7 miles in ten minutes how many miles would nick drive if he drove at the same rate for 2 hours?
Answer 84 miles
Step-by-step explanation:
2hrs= 120min
7 miles/ 10 min = x miles/ 120 min
x = 84 miles
How much money should be invested every quarter at 9% per year, compounded quarterly, in order to have $3000 in 8 years? (Round your answer to the nearest cent.)
Answer:
Step-by-step explanation:
$6,146.76.
A student has a savings account with $475 in it.
She deposits $125 of her paycheck into the account
every week. Her goal is to save $7,000 for college.
How long will it be before she has $1350?
Answer: 7 weeks
Step-by-step explanation:
Let x represent number of weeks
Let y represent the total amount
Amount = Paycheck deposited * number of weeks + Initial amount
y = 125x + 475
Number of weeks until she has $1350
1350 = 125x + 475
125x+475-475=1350-475
125x=875
x=7
Therefore, the student will have $1350 in her bank account after 7 weeks
The inequality is -2x > 30. What is the solution of the inequality?
Answer:
x < -15
Step-by-step explanation:
Divide both sides by -2.
Next you will reverse the sign because you are dividing by a negative number.
Golf Club Distance (yards) Distance (feet)
9 iron
99
7 iron
120
5 iron
144
3 iron
162
3 wood
174
Driver
192
Answer:
7 Iron
Step-by-step explanation:
Just smort