Solving absolute inequalities
|2x - 11 - 5 > 14
Alice is saving money she makes a deposit of $5 the first month then every month she deposits $10 An refers to months what is the sequence
Answer:
5 15 25 35 45 55 65 75 ect...
Step-by-step explanation:
Which of the following is a result of shifting a circle with equation (x-3)2+ (y-5)2 = 36Which of the following is a result of shifting a circle with equation down 2 units
The equation of the shifted circle is (x-3)² + (y-3)² = 36.
Shifting a circle with equation (x-3)² + (y-5)² = 36 down 2 units means that we need to subtract 2 from the y-coordinate of the center of the circle. Since the center of the circle is (3, 5), the new center will be (3, 3) after the shift.
To find the equation of the shifted circle, we can simply replace the y-coordinate of the center with the shifted value in the original equation:
(x-3)² + (y-3)² = 36
This is the equation of a circle with center (3, 3) and radius 6, which is the result of shifting the original circle down 2 units.
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2 points
Find the slope of the line that passes through the following points: (10,-1) and (-8,6).
Answer:
The answer is
[tex] - \frac{7}{18} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(10,-1) and (-8,6)
The slope is
[tex]m = \frac{6 - - 1}{ - 8 - 10} = \frac{6 + 1}{ - 18} = - \frac{7}{18} \\ [/tex]
We have the final answer as
[tex] - \frac{7}{18} \\ [/tex]
Hope this helps you
Perform the operation. Enter your answer in scientific notation.
8 × 107 − 5.2 × 107 =
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the "10" . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer: 2.996 × 10 ^2
Step-by-step explanation:
Question 1. Point B lies in between points A and C on a given line.
The length of AB = 24, and the length of AC = 40.
Find the length of BC.
Question 2. In the diagram below, m∠VCR=126˚.
Find the measure of ∠NCF.
Answer:
question 1: x=16
question 2: x=55
Step-by-step explanation:
I left an image below to show you my work. I hope this helps!
Help mwah please!!!!!!!!!!!!!!!!!!!!11
Answer:
15^3
Step-by-step explanation:
When you divide exponents you're really subtracting them.
what is the number in scientific notation? 0.000000000093 enter your answer in the box.
Answer:
9.3 × 10^-11
Step-by-step explanation:
How long is 10:36 to 11:23
Answer:
47 minutes
Step-by-step explanation:
Answer:
47 mins hope this helps
Step-by-step explanation:
The difference between the annual and semi-annual compound interest on a sun of money is Rs. 482 at the rate of 20% per annum for 2 years. Find the sum.
The sum of money cannot be negative, it indicates an error in the calculation. However, the negative value of x suggests that the compound interest for the annual compounding is greater than the semi-annual compounding, which is not possible.
Let's find the sum of money using the given information.
First, we need to calculate the compound interest for both annual and semi-annual compounding.
For annual compounding:
Principal amount (P) = x (the sum of money)
Rate of interest (R) = 20% per annum = 0.2
Time (T) = 2 years
The compound interest for annual compounding is given by the formula:
CI = P * (1 + R)^T - P
CI_annual = x * (1 + 0.2)^2 - x
= x * 1.44 - x
= 0.44x
For semi-annual compounding:
Principal amount (P) = x (the sum of money)
Rate of interest (R) = 20% per annum = 0.2
Time (T) = 2 years
Number of compounding periods in a year (n) = 2 (semi-annual)
The compound interest for semi-annual compounding is given by the formula:
CI = P * (1 + R/n)^(n*T) - P
CI_semi-annual = x * (1 + 0.2/2)^(2*2) - x
= x * (1 + 0.1)^4 - x
= 1.4641x - x
= 0.4641x
The difference between the annual and semi-annual compound interest is given as Rs. 482.
CI_annual - CI_semi-annual = 0.44x - 0.4641x = 482
To solve for x, we can set up the equation:
0.44x - 0.4641x = 482
-0.0241x = 482
x = 482 / -0.0241
x ≈ -20000
Since the sum of money cannot be negative, it indicates an error in the calculation. However, the negative value of x suggests that the compound interest for the annual compounding is greater than the semi-annual compounding, which is not possible.
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(5^-2)^5x5^4 which expression is equivalent
Answer:
13225x25
Step-by-step explanation:
(5^-2)^5x5^4
(25-2)^5x5^4
23^*5x5^4
529*5x5^4
529*5x25*4
2645x25*4
13225x25
13225x25
(5^-2)^5x5^4
(25-2)^5x5^4
23^*5x5^4
529*5x5^4
529*5x25*4
2645x25*4
(5^-2)^5x5^4
(25-2)^5x5^4
23^*5x5^4
529*5x5^4
529*5x25*4
2645x25*4
‼️‼️Evaluating expressions with integers‼️‼️ PLEASE I NEED THEM NOW ITS 9:19 AND ITS DUR AT 8:00 AM I NEED SLEEP ANYONE PLEASR HELP‼️‼️
1a = 0
1b= 9/8
2a= -49
2b= -1/6
3a= 5/2
3b= 1
4a= 1/10
4b= 4/3
5a= -1/2
5b= -4/7
nnnnnnnnnnnnnnnnnneeeeeed
Answer: x 3
Step-by-step explanation:
x3 because you want the remove the fraction and make it a whole number. So x=45 would be the answer but x 3 is the operation.
Pls help xdcdcdcdcdcd
Answer:
A
Step-by-step explanation:
YESYESYESYESYESx85
When a number is decreased by 10% of itself, the result is 9. What is the number?
Answer:
10-10%
Step-by-step explanation:
Think of it like this, 100% - 10% is 90%. But instead of 3 digits, it's just 2. So it would be the same as that just not as a hundred.
Help me And If You Get It Right You Get Brainlist Just Solve The p = _ Image
38POINTS
Please help and give the explanation!!
Answer:
x = 11
Step-by-step explanation:
If A were parallel to B, alternate exterior angles would be congruent.
Equation:
5x + 9 = 6x - 2
9 + 2 = 6x - 5x
11 = x
Hope this helps!
Let me know if you clarification :)
Answer:
x = 11
Step-by-step explanation:
If both lines were parallel, then the angles with labels would be alternate angles between parallel lines, which will make them equal in measure.
so the measure of one (5x+9) would equal the measure of the other one (6x-2) which in math terms becomes:
5 x + 9 = 6 x - 2
subtract 5x from both sides:
9 = x - 2
add 2 on both sides
x = 11
At a particular sea level location at a particular time the atmospheric pressure is 14.8 lbs/in^2 and the temperature is 80 degrees F. Estimate the temp, pressure , and air density at an altitude of 8,000ft? 18,000 ft? Note: You must modify the standard atmosphere model using the given values for sea level air pressure and temperature
Answer:
(a) At 8,000 ft :
The air temperature is 30.52 °F
The air pressure is 1574 lbs/ft²
The air density is 1.869 x 10⁻³ slug/ft³
(b) At 18,000 ft :
The air temperature is -5.08 °F
The air pressure is 1059.2 lbs/ft²
The air density is 1.356 x 10⁻³ slug/ft³
Step-by-step explanation:
Given;
pressure at sea level, P₀ = 14.8 PSI
temperature, T' = 80 °F
At 8,000 ft (m) altitude
for altitude h, less than 36,152 ft, the following model is used to modify temperature and pressure;
T = 59 - 0.00356h
T = 59 - 0.00356(8,000)
T = 30.52 °F
The pressure is calculated as;
[tex]P = 2116[\frac{T+459.7}{518.6} ]^{5.256}\\\\P = 2116[\frac{30.52+459.7}{518.6} ]^{5.256}\\\\P = 1574.2 \ lbs/ft^2[/tex]
The density is given by;
[tex]\rho = \frac{P}{1718*(T+459.7)}\\\\\rho = \frac{1574.2}{1718*(30.52+459.7)}\\\\\rho = 1.869*10^{-3} \ slug/ft^3[/tex]
For 18,000 ft
T = 59 - 0.00356h
T = 59 - 0.00356(18,000)
T = -5.08 °F
The pressure is calculated as;
[tex]P = 2116[\frac{T+459.7}{518.6} ]^{5.256}\\\\P = 2116[\frac{-5.08+459.7}{518.6} ]^{5.256}\\\\P = 1059.2 \ lbs/ft^2[/tex]
The density is given by;
[tex]\rho = \frac{P}{1718(T+459.7)} \\\\\rho = \frac{1059.2}{1718(-5.08+459.7)}\\\\ \rho = 1.356*10^{-3} \ slug/ft^3[/tex]
Find the equation of the line with slope −2 which goes through the point (9,−7).
Answer:
Here,
slope (m)=-2
y- intercept (c)=-7
Now,
The equation of the line;
or,y=mx+c
or,y= -2x-7
or,2x+y+7=0 is the required equation....
Answer: y = -2x +11
Step-by-step explanation:
Please help! What is the value
Answer:
It should be the first one (2)
factors of 6 as far as possible
Answer:
Factors Multiples
1,2,3, 6 6 36
Step-by-step explanation:
Hope this helps (:
Answer:
1, 2, 3, and 6
Step-by-step explanation:
Factors are the numbers that you need to multiply to get the product. 2 times 3 is 6, and 1 times 6 is 6.
-x-4y=-16 in slope-intercept form then find the slope and the y-intercept
Answer:
Slope = (-1/4)
y-intercept = 4
Step-by-step explanation:
Slope intercept form: y = mx + b
Slope = m & y-intercept = b
-x - 4y = -16
-4y = x - 16
Divide the equation by (-4)
[tex]y = \frac{1}{-4}x - \frac{16}{-4}\\\\\\y = \frac{-1}{4}x + 4[/tex]
Slope = (-1/4)
y-intercept = 4
Answer: y = 1/4x + 4
Step-by-step explanation: Slope-intercept form is y = mx + b form.
To get the y by itself, add x to both sides to get -4y = x - 16.
Now divide both sides by -4 to get y = -1/4x + 4.
The y-intercept is our constant term or our 4.
what is 80023 written in a scientific notation
Answer:
8.0023x 10^4
Step-by-step explanation:
80023
to get to the first place number you have to move the decimal 4 times and if it looked like this .80023 it would be 10^-1 going down moving places back wards
Kristal said that 50 x 102 is written in scientific notation. Do you agree or disagree with Kristal? Explain. If the answer is incorrect, write the answer in the correct form.
The Kristal's answer is incorrect, and the correct form for 50 x 102 in scientific notation is 5.0 x 103.
Kristal said that 50 x 102 is written in scientific notation. But, this is incorrect as the number should be written as 5.0 x 103.
The reason for this is because in scientific notation, a number is written as a coefficient (a number between 1 and 10) multiplied by 10 raised to a power.
Explanation:Scientific notation is a way of writing very large or very small numbers in a compact form. In scientific notation, a number is written as a coefficient (a number between 1 and 10) multiplied by 10 raised to a power.
For example, the number 500 can be written as 5 x 102 in scientific notation.
Here, the coefficient is 5 and the power of 10 is 2.To write 50 x 102 in scientific notation, we need to convert it into a number between 1 and 10. To do this, we can divide 50 by 10 to get 5, and multiply 102 by 10 to get 103. So, 50 x 102 = 5 x 103 in scientific notation.
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in triangle RST, RT = 12 cm, ST = 12 cm and angle RST = 90 degrees
calculate the length of RS, giving your answer correct to one decimal place.
Answer:
180 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
RS=SQUARD ROOT ((RT) SQUARED+ (ST) SQUARED)
RT =12 SQUARED= 144 ST SQUARED= 144, ADD TOGETHER EQUALS 288.
SQUARE ROOT OFF 288 EQUALS 16.95 RS = 16.9
Ron has 198 feet Of fencing to make a rectangular garden in his backyard. He wants the length to be 19 feet more than the width. Find the width?
Answer:
68.5
Step-by-step explanation:
u do 198 divided by 4 then add 19 to the awnser that u got
Answer:
width = 40 feet
Step-by-step explanation:
If w = width, then l = 19 + w
l = 19 + w
2l + 2w = 198
"Substitute 19 + w as l in the second equation"
2(19 + w) + 2w = 198,
38 + 2w + 2w = 198,
38 + 4w = 198,
4w = 198 - 38 = 160,
w = 160/4 = 40 feet
=> Solution: width = 40 feet
help please below is the Screen shot of what I am working on
Answer:
i think the answer is #2 or B.
Step-by-step explanation:
ad+cb over bd ad+cb/bd
A small radio transmitter broadcasts in a 56 mile radius. If you drive along a straight line from a city 65 miles north of the transmitter to a second city 68 miles east of the transmitter , during how much of the drive will you pick up a signal from the transmitter ?
During the entire drive from the first city to the second city, you will be within the signal range of the transmitter.
To determine how much of the drive you will pick up a signal from the transmitter, we need to find the distance between the two cities and compare it to the radius of the transmitter's broadcast.
Using the Pythagorean theorem, we can calculate the distance between the two cities:
Distance = sqrt((65^2) + (68^2))
Distance = sqrt(4225 + 4624)
Distance = sqrt(8849)
Distance ≈ 94.03 miles
Since the distance between the two cities is 94.03 miles and the transmitter's broadcast radius is 56 miles, we can conclude that for the entire duration of the drive, you will be within the broadcast range of the transmitter.
Thus, you will pick up a signal from the transmitter throughout the entire drive.
During the entire drive from the first city to the second city, you will be within the signal range of the transmitter.
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Solve for x: 3 over 4 x + 5 over 8 = 4x
x =
Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)
Step-by-step explanation:
3/4x + 5/8 = 4x/1
5/8 = 4x/1 - 3/4x
5/8 = 16x^2 - 3/4x
5/8 = 4x - 3/1
5/8 = 4x - 3
Cross multiply
8(4x - 3) = 5
32x - 24 = 5
32x = 5 + 24
32x = 29
X = 29/32
I need to find the answers to 5-9 sorry for bad quality
Answer: 5: y=7/8x+1
6: y=-10x
7: y=2.5x-7
8: y=1.2x
9: y=-5x-8
Step-by-step explanation:
There you go. You are welcome.
