Answer:
1 Solution
Step-by-step explanation:
The sum of a two-digit number is 11. The reverse number is 9 greater than the original number. Find the reverse number.
Answer:
56
Step-by-step explanation: so 5+6=11, 65 is th
reverse of 56, 56+9=65
Find the value of the expression 0.5^10/0.5^7
Answer:
The solution is:
[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]Step-by-step explanation:
Given the expression
[tex]0.5^{10}\div 0.5^7[/tex]
Solving
[tex]\frac{0.5^{10}}{0.5^7}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
so
[tex]\frac{0.5^{10}}{0.5^7}=0.5^{10-7}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:10-7=3[/tex]
[tex]=0.5^3[/tex]
[tex]=0.125[/tex] ∵ [tex]0.5^3=0.125[/tex]
Therefore, the solution is:
[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]
2 cadenas de operaciones distintas cuyo resultado sea 325 utilizando las 4 operaciones básicas
Answer:
Dos cadenas de operaciones matemáticas distintas, cuyo resultado sea 325 utilizando las 4 operaciones básicas (suma, resta, multiplicación y división) pueden ser las siguientes:
((2 + 8) / 2) x 65 = 325
10 / 2 x 65 = 325
5 x 65 = 325
325 = 325
((300 / 10) x 15) - 130 + 5 = 325
(30 x 15) - 130 + 5 = 325
450 - 130 + 5 = 325
325 = 325
The 2 different chains of operations resulting in 325 using the 4 basic operations are;
[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]
and;
[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]
According to the question, we are to find 2 different chains of operations resulting in 325 using the 4 basic operations.
The four basic operations are addition(+), subtraction(-), division(÷) and multiplication (×).
One of the chains of operation will be:
[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]
Another chain of reaction will be:
[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]
Learn more here: https://brainly.com/question/22224175
Determine if the following table represents a linear function. If so, what's the rate of change?
x y
2 3
4 6
6 9
8 12
a-No (non-linear function)
b-Yes; rate of change =23
c-Yes; rate of change = 2
d-Yes; rate of change =32
According to your graphing calculator what is the approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians 
0<=x<0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249
The approximate solution to the trigonometric inequality will be 0<=x<0.7896. Option A is correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given inequality;
tan(x/4)<1/5
x/4 = tan⁻¹(1/5)
0<=x<0.7896
The approximate solution to the trigonometric inequality will be 0<=x<0.7896.
Hence option A is correct.
To learn more about inequity, refer to https://brainly.com/question/20383699
#SPJ2
Answer:
A. 0 <= x < 0.7896
Step-by-step explanation:
EDG
Wingspans of adult horses have approximate normal distribution with mean 125 cm and standard deviation 12 cm. What are the rst and third quartiles of the wingspans
Answer:
The first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.
Step-by-step explanation:
The first and third quartile of a normal distribution are:
[tex]Q_{1}=\mu-0.675\sigma\\\\Q_{3}=\mu+0.675\sigma[/tex]
The information provided is as follows:
[tex]\mu=125\\\sigma=12[/tex]
Compute the first and third quartile of the wingspans as follows:
[tex]Q_{1}=\mu-0.675\sigma=125-(0.675\times 12)=116.9\\\\Q_{3}=\mu+0.675\sigma=125+(0.675\times 12)=133.1[/tex]
Thus, the first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.
23) Solve for :
-3x + 14 > -13.
Answer:
x < 9
Step-by-step explanation:
-3x + 14 > -13
-3x > -13 - 14
-3x > -27
-x > -27 ÷ 3
-x > -9
x < 9
Answer:
explaination. a ah. is
The volume of a half-gallon carton of milk is 1.9 L. How many milliliters is this?
Answer:
1.9 litres is equvalent to 1900 mililitres
Every 15 minutes, a shuttle bus transports 14 people to the airport terminal How many people can the shuttle bus transport in 9 trips to the airport terminal?
Answer:
126
Step-by-step explanation:
if it have 9 trips and each trip there is 14 people so we do 14×9=126
At one time the price of gasoline was $1.279 a gallon. Then the price
increased 130% of the original price. What was the cost of the increase in
the price of gasoline?
Answer:
1.6627 (money wise, $1.66)
Step-by-step explanation:
Since its 130%, you know there was already a whole increase. So first you would do 1.279 + 1.279, which would give you 2.558. Then you need to calculate 30% of 1.279 for the rest of the increase. That gives you 0.3837 Add 2.558 and 0.3837 together, which would give you 2.9417. To get the INCREASE, you would have to subtract the new total from the original price, so 2.9417 - 1.279. This would give you 1.6627.
(I'll give brainliest and extra points if u helpp me :) )
Solve two and one third times four fifths.
A) four sixths
B) twenty eight fifteenths
C) twenty seven fifteenths
D) twenty eight sixths
(Here is an image if Needed) :
Answer:
420 over 225, 28/15
Step-by-step explanation:
I please need help with this question. Thank you
Part (A)
The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.
The output variable is the y value, which in this case is the height. The units for the height is in inches.
====================================================
Part (B)
We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.
Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.
A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.
While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.
As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.
====================================================
Part (C)
The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728
So the rate of change is 1.728 inches per shoe size.
In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.
---------------------------------------------------------
Extra info:
The equation
Height = 51.46 + 1.728(Shoe Size)
is the same as
y = 51.46 + 1.728x
where x is the shoe size and y is the height
We can rearrange that into
y = 1.728x + 51.46
So that it matches with the familiar y = mx+b slope intercept form. This is optional.
A company borrows $52,500 for 5 years at a simple interest of 3.5% to buy cabinets.
Solve: 3x – 8 = 6(1 – 2x) + 16
Answer:
x=2
Step-by-step explanation:
3x-8=6-12x+16
3x+12x=22+8
15x=30
x=2
Answer:
x=2
Step-by-step explanation:
It's right bc I took the test and got it 100%
PLEASE HELP!!
The blue dot is at what value on the number line?
Pictrure Below:
Please answer 1 and 2! Thank you!
Answer:
there is nothing here so??
Answer:
where??? uhhhhhhhh lol
I WILL MARK YOU BRAINLIEST! IF YOU ARE GOOD WITH LINEAR EQUATIONS HELP ME PLEASE OR I WILL DIE!!!!!
3 QUESTIONS
Answer:
Step-by-step explanation:
1). (40, 60)
m = 2
y - 60 = 2( x - 40 )
2). (5, - 1)
m = - 3
y - ( - 1) = - 3( x - 5 )
3). m = 2
y - 1 = 2( x + 2 )
y = 2x + 5
Scott runs 3 miles in 27 minutes.
How many miles does he run per minute?
Answer: 1/9 of a mile
Step-by-step explanation:
3/27=x/1
27x=3
Divide by 27
3/27=1/9
Answer:
9
Step-by-step explanation: 9 +9 +9=27
Which of the following expressions are equivalent to 18x + 12 - 4? select three that apply.
A. 26x
B. 30x-4
C. 18x+8
D. 2(9x+4)
E. 2(9x+12 - 4
F. 6(3x+2)-4
Answer:
F
Step-by-step explanation:
6×3x=18x
6×2=12
18x+12-4
Answer:
see below
Step-by-step explanation:
18x + 12 - 4 simplify
C. 18x + 8D. 2(9x + 4)F. 6(3x + 2) - 4The graph models the path of a soccer ball, showing the vertical distance, in yards, as a function of the horizontal distance, in yards.
2 is less than or equal to x is less than or equal to 4
What is the slope of the line represented by the equation 3x+4y=12?
Answer:
-3/4
Step-by-step explanation:
3x+4y=12
-3x -3x
4y=-3x+12
÷4 ÷4
y=-3/4x+12
Answer:
-3/4 or -0.75
Example:
2. Use the information in the table to find the cost of a pizza with 6 toppings.
number of toppings
cost of pizza
2
$11.99
3
$13.49
4
$14.99
5
$16.49
6
3. Is there a proportional relationship between the number of toppings on a pizza and its cost? Explain in a
complete sentence using your work from above
Answer:
The proportional relationship is + 1.50 with each toppings. The cost for 6 toppings is $17.99.
Step-by-step explanation:
11.99 to 13.49 is + 1.50, 13.49 to 14.99 is + 1.50, and so on.
HELP ME PLEASE!
Find the equation of the line. Use exact numbers.
Answer:
The equation of the line (in slope-intercept form) is y=4x-9
Find the sum: 8/9 + 1/6
Answer:
8/9 + 1/6 = 1 1/18
Step-by-step explanation:
1. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
8/9*2/2 + 1/6*3/3 = ?
2. Complete the multiplication and the equation becomes 16/18 + 3/18.
3. 16/18+3/18 = 19/18 = 1 1/18
i need all questions please, will be giving brainliest and please make sure the answers are correct
f(x)=3x^2 – x+5, 2f(–3) – f(2)
A tree is currently 10 feet tall and grows 2 feet per year
Answer:
More info
Step-by-step explanation:
I need more info than that please!`
1 feet = 12 inches
3 feets= 36 inches
8 feets = 96 inches
hope this helps
Assume the year that it would take to these trees have the same height is : x (years)
After x years, type A tree has heigth: 36 +23x (inches)
After x years, type B tree has heigth: 96 +17x (inches)
We have 36+23x = 96+17x
Solve the equation, we have x=10
Conclusion: It will take 10 years to these trees have the same height.
Help me!!!
What is the polar form of -273-6/?
O 2V6 (cos(") + isin (3)
O 475 (cos () + isi (20)
o 2V7 (cos(7") + sin(47)
O 483 (cos(47) + isin (47)
What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?
Answer:
(x+1)^2+(y+4)^2=16
Step-by-step explanation:
equation of the circle
(x-x0)^2+(y-y0)^2=r^2
where x0 and y0 is center of circle
and r is radius of the circle.
we know that the center point is the middle of the diameter
so x0=(x1+x2)/2
x0=(3+(-5))/2=-2/2=-1
y0=(-4+(-4))/2=-8/2=-4
so the midpoint or the center of circle is the points (-1,-4)
the formula to find the distance between two. points is √[(x2-x1)^2+(y2-y1)^2]
so r is the distance between the center point and one of the diameter endpoints.
let us take points (3,-4) and center point (-1,-4)
√(-1-3)^2+(-4-(-4))^2=
√(-4)^2+0^2=
√16=4
so the radius of the circle is 4
now the equation of the circle will be
(x-(-1))^2+(y-(-4))^2=4^2
(x+1)^2+(y+4)^2=16
The diameter of a circle is 20 centimeters. What is the radius?
Answer:
10
Step-by-step explanation:
radius is the middle point of a circle, therefore divide it in half.