Mal runs around a track at a constant speed of 750 meters in 30 minutes how many meters per minute is that?
Answer:
25 meters per second
Step-by-step explanation:
Divide to find m/s.
750 / 30 = 25
Check in necessary.
25 * 30 = 750
Answer:
25 per sec
Step-by-step explanation:
What is the slope of the line that passes through the points A (–4, 3) and B (–2, –5)?
An exponential function in the form y = ab^x goes through the points (3, 10.125) and (6, 34.2). Find a to the
nearest integer and b to the nearest tenth, then find f (10) to the nearest integer.
Answer:
[tex]f(10) = 173[/tex]
Step-by-step explanation:
Given
Exponential Function
[tex](x_1,y_1) = (3,10.125)[/tex]
[tex](x_2,y_2) = (6,34.2)[/tex]
Required
Determine f(10)
We have that
[tex]y = ab^x[/tex]
First, we need to solve for the values of a and b
For [tex](x_1,y_1) = (3,10.125)[/tex]
[tex]10.125 = ab^3[/tex] --- (1)
For [tex](x_2,y_2) = (6,34.2)[/tex]
[tex]34.2 = ab^6[/tex] ---- (2)
Divide (2) by (1)
[tex]\frac{34.2}{10.125} = \frac{ab^6}{ab^3}[/tex]
[tex]\frac{34.2}{10.125} = \frac{b^6}{b^3}[/tex]
[tex]3.38= b^{6-3}[/tex]
[tex]3.38= b^{3}[/tex]
Take cube root of both sides
[tex]b = \sqrt[3]{3.38}[/tex]
[tex]b = 1.5[/tex]
Substitute 1.5 for b in [tex]10.125 = ab^3[/tex]
[tex]10.125 = a * 1.5^3[/tex]
[tex]10.125 = a * 3.375[/tex]
Solve for a
[tex]a = \frac{10.125}{3.375}[/tex]
[tex]a = 3[/tex]
To solve for f(10).
This implies that x = 10
So, we have:
[tex]y = ab^x[/tex] which becomes
[tex]y = 3 * 1.5^{10[/tex]
[tex]y = 3 * 57.6650390625[/tex]
[tex]y = 172.995117188[/tex]
[tex]y = 173[/tex] -- approximated
Hence:
[tex]f(10) = 173[/tex]
Alison can swim 75 feert in 12 seconds. What is he rate to the nearest mile per hour?.
Answer:
in an hour she can swim around 22,500 feet which is about 4.26 miles
Step-by-step explanation:
Answer:
22,500 miles per hour
Step-by-step explanation:
60 seconds in a minute times 60 minutes in one hour. 3600
Divide that by 12 then multiply by 75 to get your answer
PLZ MARK BRAINLIEST
4x-3y=24 in slope-intercept form
Answer:
y=(4/3)x-8
Step-by-step explanation:
Slope-intercept form: y=mx+b
4x-3y=24
3y=4x-24 (isolating the 3y)
y=(4/3)x-8 (dividing both sides by 3)
Hope this helps!
The sum of two numbers is -10.5. Can one of these addens be positive and the other negative? Provide an example to prove your answer.
Step-by-step explanation:
In order for the solution of a problem to be negative, you need one negative number and one positive number. Same goes for when having a positive sum, you know that the equation has an even number of negative numbers.
-6 + 3 = -3
You get -3 because you have both a positive and negative number in the equation.
00:00
What is the number of terms in this expression?
m
5
+4x6
5
Enter your answer in the box.
Answer:
40
Step-by-step explanation:
How many cubic inches are in one-sixth of one cubic yard?
Answer:
7776
Step-by-step explanation:
We need to find the homeownership proportion in Southern California. The homeownership proportion is believed to be around 50%. How many householders would you survey for a 93% CI where the maximum likely sampling error is 1.5%?
Answer:
The value is [tex]n = 3648 [/tex]
Step-by-step explanation:
From the question we are told that
The sample proportion is [tex]\^ p = 0.5[/tex]
The margin of error is [tex]E = 0.015[/tex]
From the question we are told the confidence level is 93% , hence the level of significance is
[tex]\alpha = (100 - 93 ) \%[/tex]
=> [tex]\alpha = 0.07[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.812[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{ 1.812 }{ 0.015} ]^2 *0.5 (1 - 0.5 ) [/tex]
=> [tex]n = 3648 [/tex]
Try this hard Math Problem if you dare!!
Answer:
a. [tex](x - 3)^2 + 16[/tex]
b. [tex]8(x -7)^2[/tex]
c. [tex](a^2 - 1)(7x - 6)[/tex] or [tex](a+1)(a-1)(7x-6)[/tex]
d. [tex](x^2-4)(x^2+3)[/tex] or [tex](x-2)(x+2)(x^2+3)[/tex]
e. [tex](a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})[/tex]
Step-by-step explanation:
[tex]a.\ (x + 1)^2 - 8(x - 1) + 16[/tex]
Expand
[tex](x + 1)(x + 1) - 8(x - 1) + 16[/tex]
Open brackets
[tex]x^2 + x + x + 1 - 8x + 8 + 16[/tex]
[tex]x^2 + 2x + 1 - 8x + 24[/tex]
Collect Like Terms
[tex]x^2 + 2x - 8x+ 1 + 24[/tex]
[tex]x^2 - 6x+ 25[/tex]
Express 25 as 9 + 16
[tex]x^2 - 6x+ 9 + 16[/tex]
Factorize:
[tex]x^2 - 3x - 3x + 9 + 16[/tex]
[tex]x(x -3)-3(x - 3) + 16[/tex]
[tex](x - 3)(x - 3) + 16[/tex]
[tex](x - 3)^2 + 16[/tex]
[tex]b.\ 8(x - 3)^2 - 64(x-3) + 128[/tex]
Expand
[tex]8(x - 3)(x - 3) - 64(x-3) + 128[/tex]
[tex]8(x^2 - 6x+ 9) - 64(x-3) + 128[/tex]
Open Brackets
[tex]8x^2 - 48x+ 72 - 64x+192 + 128[/tex]
Collect Like Terms
[tex]8x^2 - 48x - 64x+192 + 128+ 72[/tex]
[tex]8x^2 -112x+392[/tex]
Factorize
[tex]8(x^2 -14x+49)[/tex]
Expand the expression in bracket
[tex]8(x^2 -7x-7x+49)[/tex]
Factorize:
[tex]8(x(x -7)-7(x-7))[/tex]
[tex]8((x -7)(x-7))[/tex]
[tex]8(x -7)^2[/tex]
[tex]c.\ 7a^2x - 6a^2 - 7x + 6[/tex]
Factorize
[tex]a^2(7x - 6) -1( 7x - 6)[/tex]
[tex](a^2 - 1)(7x - 6)[/tex]
The answer can be in this form of further expanded as follows:
[tex](a^2 - 1^2)(7x - 6)[/tex]
Apply difference of two squares
[tex](a+1)(a-1)(7x-6)[/tex]
[tex]d.\ x^4 - x^2 - 12[/tex]
Express [tex]x^4[/tex] as [tex]x^2[/tex]
[tex](x^2)^2 - x^2 - 12[/tex]
Expand
[tex](x^2)^2 +3x^2- 4x^2 - 12[/tex]
[tex]x^2(x^2+3) -4(x^2+3)[/tex]
[tex](x^2-4)(x^2+3)[/tex]
The answer can be in this form of further expanded as follows:
[tex](x^2-2^2)(x^2+3)[/tex]
Apply difference of two squares
[tex](x-2)(x+2)(x^2+3)[/tex]
[tex]e.\ a^{4n} -b^{4n}[/tex]
Represent as squares
[tex](a^{2n})^2 -(b^{2n})^2[/tex]
Apply difference of two squares
[tex](a^{2n} -b^{2n})(a^{2n} +b^{2n})[/tex]
Represent as squares
[tex]((a^{n})^2 -(b^{n})^2)(a^{2n} +b^{2n})[/tex]
Apply difference of two squares
[tex](a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})[/tex]
AC =
Round your answer to the nearest hundredth.
Answer:
70 I think but I'm not sure
Step-by-step explanation:
AC=70
Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. gh
2. g2 - h
3. g + h2
4. g + h
5. h - g
6. g - h
Answer:
The values of given expressions are:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Step-by-step explanation:
Given values of g and h are:
g = -7
h = 3
1. gh
The two numbers are being multiplied
Putting the values
[tex]gh = (-7)(3) = -21[/tex]
2. g^2-h
Putting the values
[tex]=(-7)^2-3\\=49-3\\=46[/tex]
3. g+h^2
Putting the values
[tex]= -7 + (3)^2\\=-7+9\\=2[/tex]
4. g+h
Putting the values
[tex]= -7+3\\=-4[/tex]
5. h-g
Putting the values
[tex]= 3 - (-7)\\=3+7\\=10[/tex]
6. g-h
Putting values
[tex]=-7-3\\=-10[/tex]
Hence,
The values of given expressions are:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Answer:
1) - 21
2) 46
3) 2
4) -4
5) 10
6) -10
Step-by-step explanation:
g = -7h = 3[tex]1)gh = - 7(3) \\ \: \: \: \: \: \: = - 21[/tex]
[tex]2){g}^{2} - h = ( - 7 {)}^{2} - 3 \\ \: \: \: \: \: \: \: \: \: \: \: = 49 - 3 \\ \: \: \: = 46[/tex]
[tex]3)g + {h}^{2} = - 7 + {3}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 7 + 9 \\ \: \: \: \: = 2[/tex]
[tex]4)g + h = - 7 + 3 \\ \: \: \: \: \: \: \: = - 4[/tex]
[tex]5)h - g = 3 - ( - 7) \\ \: \: = 10[/tex]
[tex]6)g - h = - 7 - 3 \\ \: \: \: \: \: \: \: \: \: \: = - 10[/tex]
Can someone answer please
Answer:
9
Step-by-step explanation:
thank me later :)
Identify the slope in this equation -y = -5x + 9
Answer:
-5
Step-by-step explanation:
The equation given is written in slope-intercept form (y = mx + b). In this form, 'm' represents the slope of a line and 'b' represents the y-intercept of the line. Since the equation asks for the slope, we can simply look at the value of 'm' in the equation. Then, we will find the slope.
slope - intercept form
y = mx + b
given equation
-y = -5x + 9
values
m = slope = -5
b = y-intercept = 9
what are coordinates of point j?
Answer:
(7,4)
Step-by-step explanation:
The x always goes first and the y goes second
Answer:
7,4
Step-by-step explanation:
x,y
Which best describes a system of equations that has no solution?
-consistent, independent
-inconsistent, dependent
-consistent, dependent
-inconsistent
thank you for your help
Answer: inconsistent
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE ANSWER 12/15+5/15 1 NUMBER FOR EACH SLOT
Answer:
17/15
Step-by-step explanation:
or if u reduce it would be 12/15
what’s the slope?
a line has the given equation 8x-6y=24
Answer:
-1.333333
Step-by-step explanation:
:)
have a very nice day
Solve the equation. Then check your solution.
-8p =-3 1/4
a. 4 3/4
b. - 13/32
c. 13/32
d. 26
Answer: C
Step-by-step explanation:
-8p = -3 1/4 The first think you want to do is convert the mixed fraction into an improper fraction.
-8p = -13/4 Now multiply both sides of the equation by 4.
-32p = -13 Divide both sides by -32
p = 13/32
Find the slope of the line that passes through the points given in the table.
х у
-3 | 0
2 | 2
7 | 4
12 | 6
Answer:
2/5
Step-by-step explanation:
(2,2) and (7,4) 4-2/7-2=2/5
What is the solution to this system of equations?
2x-5y=-3
y=16-4x
Answer:
2x-5y=-3
Slope= 2.000 /0.800
x-intercept=-3/2=-1.50000
y-intercept=3/5=0.60000
y=16-4x
Slope=-8.0000/2.0000=-4.000
x-intercept=16/4=4
y-intercept=6/1=16.00000
Step-by-step explanation:
I need the answer quickly
1. Change the following into 12 hour clock time
a) 1720 hours. b)0235 hours
Answer:
A) 5:20 pm
B) 2:35 am
Step-by-step explanation:
The hours in am are from 00:00 - 12:00, the numbers after 12 for example 17, you subtract 12 and the remaining is the hours and what is left of the number for example 20 is the minutes.
I am horrible at explaining but I hope this helps... :)
Answer:
a) 5:20
b) 2:35
Step-by-step explanation:
a) Subtract 12 from the 17 at the beginning of 1720, leaving you with 5. This is the hour component of standard time, and will be placed on the left side of the colon (5:__). Then, put the last two digits onto the other side of the colon in standard time like so: 5:20.
b) For this one, because the first two digits don't exceed twelve, you simply have to divide the first two digits from the last two digits and put a colon between them: 02:35, or 2:35.
- 11/5 -2.4 1.6 15/10 - 2.25 in order from least to greatest
Answer (least to greatest):
-2.4-2.25-11/515/101.6I hope this helps!
Answer:
1.6,- 11/5 ,2.25 , -2.4 15/10
Step-by-step explanation:
which point on the line number line represntes -1/3
Answer:
Point C
Happy Holidays!
Step-by-step explanation:
ay
Mr.Williams' physical education class lasts 7/8 hours. How many minutes are not spent on instructions? playing game:1/2, instructions: 1/5, warm up and cool down:3/10
Answer:
I believe the answer is 42 minutes :)
At a school 1/2 of the pupils walk to school.
2/5 of the pupils get the bus.
The remaining 68 pupils get a lift in a car.
Calculate the number of pupils who get the bus and who walk to school.
Answer:
i guess the answer is 680.
simplify solution
[tex]6 \sqrt{4 \sqrt{2} } [/tex]
Answer:
16.97
Step-by-step explanation:
Can some one help me understand this?
Answer:
0 cavities
minimum is 0 cavities. there are people having 0 cavities. see the graph.
hope it helps!
Answer:
0
Step-by-step explanation:
The minimum is the smallest value in the dataset. The smallest number of cavities is 0.
please give thanks by clicking the heart button! :)
An experienced carpenter can panel a room 3 times faster than an apprentice can. Working together, they can panel the room in 6 hours. How long would it take each one working alone to do the job
Answer:
experienced carpenter would need 1 and 1/2 hours
apprentice would need 4 1/2 hours
Step-by-step explanation:
experienced = e
apprentice = 3e
3e + e = 6
4e = 6
e = 6/4 or 3/2
6 - 3/2 = 9/2