Answer:
27
Step-by-step explanation:
start with {5*(13-8)+12/6}
simplify to get:
(5*5)+12/6
simplify to get:
25+12/6
simplify to get:
25+2
simplify to get your answer:
27
chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6
Answer:
steps below
Step-by-step explanation:
5¹+5² = 30 30/6 = 5¹
5³+5⁴ = 125 + 625 = 750 750/6 = 125 = 5³
5⁵+5⁶ = 18750 18750/6 = 3125 = 5⁵
...........
(5¹⁹⁹¹+5¹⁹⁹²)/6 = 5¹⁹⁹¹
sum of every couple consecutive multiple of 5 are multiple of 6, the sum
S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 IS multiple of 6
Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4
Answer: Therefore, your equation of the function will be y = 4x – 4.
Step-by-step explanation:
5n + 1/8 = 3n-5/4
Solve for n
Answer:
[tex]n=-\frac{11}{16}[/tex]
Step-by-step explanation:
[tex]5n+\frac{1}{8}=3n-\frac{5}{4}[/tex]
[tex]5n-3n=-\frac{5}{4}-\frac{1}{8}[/tex]
[tex]2n=-\frac{11}{8}[/tex]
[tex]n=-\frac{11}{16}[/tex]
Find the surface area and the volume of the prism .
Answer:
Surface area is 1140cm^2
Volume is 1800 cm^3
Step-by-step explanation:
12x5=60x2=120
5x6=30x2=60
20x6=120x8= 960
120
60
+960
1140
12x20=240x10=2400
5x6=30x20=600
2400-600=1800
1. A vector starts at point ( -2, 1) and ends at point (-6, -2) what is the horizontal component of the vector?
2. A vector starts at point ( -6, 0) and ends at point (10, -4) what is the vertical component of the vector?
3. A vector starts at point ( -3, 9) and ends at point (3, -7) what is the magnitude of the vector, answer to two decimal places.
Answer:
Using vector concepts, it is found that:
1. The horizontal component of the vector is 5.
2. The magnitude is of 14.87.
3. The vertical component of the vector is 2.
-------------
A vector (x,y) has x as horizontal component and y as vertical component.
The magnitude is
Given two points, a vector is formed by the subtraction of the endpoint by the start point.
-------------
Item 1:
The horizontal component of the start is -3.
The horizontal component of the end is 2.
Thus, the horizontal component of the vector is
-------------
Item 2:
Starts at (1,9), ends at (6,-5), thus, the coordinates are:
The magnitude is:
The magnitude is of 14.87.
-------------
Item 3:
The vertical component of the start is -10.
The vertical component of the end is -8.
Thus, the vertical component of the vector is
Step-by-step explanation:
35005 multiplied by
6 =
Answer:
210030
Step-by-step explanation:
You can use a calculator.
What is this answer need reply ASAP
Answer:
how many boxes is the line on
Kenneisha and her sister spend $240 buying Christmas presents . Kenneisha spends 3 times as much on the presents as her sister .
Need help with this one please explain how you got it
Answer:
B) 40 feet
Step-by-step explanation:
Essentially, there are two similar right triangles in the given problem.
base_L = Base [larger triangle] = 60 ft
base_S = Base [smaller triangle] = 6 ft
x = leg (larger triangle)
y = leg (smaller triangle) = 4 ft
Using the given proportion to solve for the value of x:
[tex]\frac{x}{base_{_L} } = \frac{y}{base_{_S} }[/tex]
[tex]\frac{x}{60ft} = \frac{4 ft}{6 ft}[/tex]
6x = 240
Divide both sides by 6:
6x/6 = 240/6
x = 40
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
35 : w = 1 : 2
obviously w = 70
Step-by-step explanation:
Hopefully this helps you :)
Have a nice day.
apokibunnyavatar
An item is regularly priced at $40. It is on sale for 30% off the regular price. What is the sale price?
40$ - 100% (full price)
x$ - 70% (100-30=70%)
40 * 70 = 100x
2800 = 100x
x = 28
Answer 28$
or
40$ = 100%
then 1% = 40/100 = 0.4$
so 70% will be 0.4 * 70 = 28$
Write the converse inverse and contrapositive of the statement below
The statement to be converted is "If Snoopy did not dance a jig, then Charles Schultz wrote a Sonata.
The converse is: If Charles Schultz did not write a Sonata, then Snoopy did dance a jig.
What is the Converse of a Statement?A converse statement is arrived at when you have swapped the hypothesis and the conclusion.
Another example that helps buttress this is given below:
Original Statement: If the car braked, then the driver was sleeping.
Converse Statement: The driver was not sleeping therefore the car did not brake.
See the link below for more about Converse Statements:
https://brainly.com/question/2751386
A bus travels 324 km in 8 hours. How long will it take to travel 243 km ?
Answer:
Six hours
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
Use a ratio and cross multiply to solve for x
324 243
------ = -------
8 x
324x = (8)(243)
324x = 1944
x = 6
What is the domain of the function?
Negative infinity less-than x less-than infinity
Negative 1 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
[tex] \sqrt[3]{x} [/tex]
has the domain all of the real numbers
Sarah is buying some school clothes.
She found a sweater she likes that costs $18.85 and some t-shirts that are on sale for $4 each.
She got several t shirts of different colors and spent a total of $54.85.
Which equation describes the situation where x is the number of t shirts?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
cuál de los siguientes documentos es más Útil para construir carretera
Can you help please.?
Answer:
2.33yd or 2 1/3yd
Step-by-step explanation:
7/3=2.33
2 1/7 x 1/3 in lowest terms??
Help please
25 points for the right answer
Answer:
5/7
Step-by-step explanation:
2 1/7 x 1/3
= 15/7 × 1/3
= 15 × 1/7 × 3
= 15/21
= 15 ÷ 3/21 ÷ 3
= 5/7
how to solve 700/2,5 with steps please
A coin is tossed 6 times, find the probability of getting 3 heads.
Answer:
3/6
Step-by-step explanation:
Answer:
0.31 if you get exactly 3 heads or 0.66 probability if you get at least 3 heads, or 50%
Step-by-step explanation:
0.31 is the probability of getting exactly 3 Heads in 6 tossed
0.66 is the probability of getting at least 3 heads
help plz for brainliest
a) What is the equation of the function
b) Compare the graph to f(x)=2(x+1)^2
C: infinitely many solutions, help solve fast pls
Which of the following is true when constructing a line graph?
Each axis has even spacing.
Each point represents a data pair.
The vertical axis shows increments of time.
The scale starts at the minimum value and goes to the maximum value. please help fast!!!!
Answer:
B
Step-by-step explanation:
Answer:
Each axis has even spacing.
Each point represents a data pair.
I took the test
WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they received. SHOW YOUR WORK
Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50
Exam score 82 78 90 78 85 97 100 85 73 90 91 98
Use a graphing calculator to model the data using a linear function.
What is the correlation coefficient of the data?
−0.74
−0.48
0.93
0.98
Answer:
The answer is 0.93
Step-by-step explanation:
I took the test
Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x
Answer:
[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
Determine the slope (m):
[tex]y = 1 -2x[/tex]
Rearrange into slope-intercept form:
[tex]y = -2x+1[/tex]
Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
Plug in the given point (1,3) and solve for b:
[tex]3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle \frac{5}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2} x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]
I hope this helps!
a class has 28 students. The ratio of girls to boys is 4:3. How many girls
Answer:
let
no of girls be 4x & boys be 3x
or, 3x+4x=28
or, 7x=28
x=28/7=4
hence no of girls = 4x=4*4= 16
Solve the equation to find a positive value of c:
62 + 82 = c2
(20 points)
Answer:
The equation has 2 solutions
c = -12
c = 12
Step-by-step explanation:
Swap the sides
c² = 62 = 82
Simplify the equation
c² = 144
separate the solutions
c = ± 12
Solution
c = -12
c = 12
It takes 12 hours to fill a pool with the inlet pipe. It can be emptied in 15 hours with the outlet pipe. If the pool is 1/2 full to begin with, how long will it take to fill it from there if both pipes are open?
Answer:
12x15=100
Step-by-step explanation:
Its times because I know it
2 Find an equation in the form y = ax? + bx + c for the parabola passing through the points. (3. – 56). (-1, - 16). (-2,- 51)
help me please!!!
Answer:
Step-by-step explanation:
Many ways to do this in the details.
All start by writing three equations with three unknowns
-56 = a(3²) + b(3) + c
-56 = 9a + 3b + c 1)
-16 = a(-1²) + b(-1) + c
-16 = a - b + c 2)
-51 = a(-2²) + b(-2) + c
-51 = 4a - 2b + c 3)
subtract equation 2 from equation 1
-40 = 8a + 4b
--10 = 2a + b
b = -10 - 2a 4)
subtract equation 3 from equation 1
-5 = 5a + 5b
-1 = a + b 5)
substitute 4 into 5
-1 = a + (-10 - 2a)
-1 = - a - 10
a = - 9
substitute a into 4
b = -10 - 2(-9)
b = 8
substitute a and b into any of 1, 2, or 3
-51 = 4(-9) - 2(8) + c
-51 = -36 - 16 + c
c = 1
y = -9x² + 8x + 1
We can use a plotting calculator to confirm our result.