Answer:
8x+6x=14x
5-17= -12
divide both sides by 2
7x= -6
divide by 7
you get x= -6 over 7
Step-by-step explanation:
Answer:
x= -6/7
Step-by-step explanation:
1. 5 - 17 = 8x + 6x
2. -12 = 14x
3. x= -6/7
Use the figure to write the segment addition postulate, write an equation and solve for x.
Answer:
5). x = -1
6). x = 2
Step-by-step explanation:
5). AC = (x + 10)
AB = 5
BC = (2x + 6)
By segment addition postulate,
AC = AB + BC
(x + 10) = 5 + (2x + 6)
x + 10 = 2x + 11
2x - x = 10 - 11
x = -1
6). AC = 19
AB = 9x + 7
BC = -3x + 20
By segment addition postulate,
AC = AB + BC
39 = 9x + 7 + (-3x + 20)
39 = (9x - 3x) + (7 + 20)
39 = 6x + 27
6x = 39 - 27
6x = 12
x = 2
x = 2
PLEASE HURRY WORTH 20 POINTS
(02.05 MC) Graph g(x), where f(x) = 3x − 1 and g(x) = f(x + 1).
We Need To Graph:
2.05 MC
g(x)
f(x) = 3x-1
g(x) = f(x+1)
The graph is shown in the diagram.
What is a Graph?A graph is a representation of the relationship between two variables that are normally measured along one of a pair of axes at right angles.
As per the given data:
f(x) = 3x − 1
g(x) = f(x + 1).
For g(x) substituting (x+1) in f(x):
g(x) = 3(x+1) - 1
g(x) = 3x + 3 - 1
g(x) = 3x + 2
∴ y = 3x + 2
For graph using the x and y intercept:
y intercept {x=0}:
y = 2
x intercept {y=0}:
x = (-2)/3
The graph will as drawn in the diagram and the line will pass through the points [(-2)/3, 0] and [0, 2].
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Sleeping in college. A recent article in a college newspaper stated that college students get an average of 5.5 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 25 students. On average, the sampled students slept 6.25 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.
Answer:
Sample mean = 6.25 hours per night.
Population mean = 5.5 hrs of sleep each night.
Step-by-step explanation:
A sample mean is the mean of the sample collected. The 25 students surveyed by the student is the sample. The average sleep time derived from the sample is the sample mean.
A population mean is the mean of all the population. Here the population are college students. The population mean is the mean derived from studying the sleep duration of all the population - college students
Does anyone know if this is right if not which one is it
Answer:
Step-by-step explanation:
The answer is actually the last one :)
What is the simplified value of the expression below? StartFraction 4 (negative 8 + 4.5) over 6.25 + (negative 8.25) EndFraction –25 –7 7 25
Answer: -10.49.
Step-by-step explanation:
Using order of operations PEMDAS:
4(-8+4.5)/ 6.25 + (-8.25)
= 4 * -3.5 / 6.25 - 8.25
= -14/6.25 - 8.25
= -2.24 - 8.25
= -10.49.
Answer:
The answer should be -10.49
Step-by-step explanation:
Use the Squeeze Theorem to show that [tex]\lim_{t \to \infty} \frac{cos5t}{5t}[/tex]
Complete the following argument: for t arbitrary large and positive.
Im not sure how to break this problem down using the Squeeze Theorem, could anyone help?
Recall that [tex]\cos x[/tex] is bounded between -1 and 1 for all real [tex]x[/tex], so that
[tex]-1\le \cos(5t)\le 1[/tex]
[tex]\implies-\dfrac1{5t}\le\dfrac{\cos(5t)}{5t}\le\dfrac1{5t}[/tex]
Now take the limit of each side of the inequality:
[tex]\displaystyle\lim_{t\to\infty}\left(-\dfrac1{5t}\right)\le\lim_{t\to\infty}\dfrac{\cos(5t)}{5t}\le\lim_{t\to\infty}\dfrac1{5t}[/tex]
The bounding limits are both 0, so by the squeeze theorem the desired limit is also 0.
A 2 cm x 2 cm x 2 cm cube holds 468 grains of rice. How many grains of rice would fit in a box with
dimensions 6 cm x 2 cm x 12 cm?
The number of grains of rice that would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be 8424 grains.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A 2 cm x 2 cm x 2 cm cube holds 468 grains of rice.
Then the number of grains of rice would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be
⇒ [(6 x 2 x 12) / (2 x 2 x 2)] x 468
⇒ (144 / 8) x 468
⇒ 18 x 468
⇒ 8424 grains
The number of grains of rice that would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be 8424 grains.
More about the geometry link is given below.
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To prevent illness and Injury, employers must make standardized health and safety Information for the chemicals
they produce avallable to employees for all chemicals on the job and train employees to find this Information. true or false?
Answer:
true
Step-by-step explanation:
if they wash there hands the customers and employees can be safe
What type of number is 3 2/3, Choose all answers that apply: A. Whole number B. Integer C. Rational D. Irrational
Answer:
C. Rational
Step-by-step explanation:
A whole number is where it is counting from 0 and going up. A integer is any number and their opposites. Irrational is something like pi or something like that.
The given mixed fractional number is a rational number. The correct option is C.
What is a rational number?A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
Given the number is 3(2/3) convert the number into the decimal form.
3(2/3) = 11/3 = 3.66666667
The decimal form of the number indicates that the number is nonrepeating and terminating. It can be written in the fractional form
Therefore, the given mixed fractional number is a rational number. The correct option is C.
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10 10 times as much as what
Answer:
100
Step-by-step explanation:
10x10
10 times 10 is equal to 100.
(-28)-(3) i dont itjhggh
Hey there! I'm happy to help!
We have the number -28 and we are subtracting 3 from it. This means we are going even further into the negatives, so it is -31.
Have a wonderful day! :D
Answer:
- 31
Step-by-step explanation:
= (-28)-(3)
= - 31
7 3/4 write as a decimal
Answer:
7.75
mark me brainlest
Step-by-step explanation:
Answer:
7.75
Step-by-step explanation:
3/4 = 0.75
think about it as how many quarters make a dollar, 4, so 3 quarters makes 75 cents (only works with fractions with a denominator of 4).
The figure shows four types of polygons. Which type of polygon shown has no pairs of parallel sides?
Answer:
A pentagon has no parallel sides
On a map, 1 cm represents 300 km. What does 3/5 cm represent?
Answer:
180 km
Step-by-step explanation:
3/5 times 300 is 180
Answer
180 km
Step-by-step explanation:
Quiz scores of statistics students were obtained by a teacher and listed below. Construct a frequency distribution beginning with a lower class limit of 0 and use a class width of 2. What upper class boundary of the fifth class? 8,6,2,4,2,0,2,6,7
Answer:
The frequency distribution is
The frequency distribution is
S/N Class limit Frequency
1 0-2 4
2 3 -4 1
3 5-6 2
4 7-8 2
5 9 - 10 0
6 11 - 12 0
The value for value upper class boundary of the fifth class is [tex]CB_5 = 10.5[/tex]
Step-by-step explanation:
From the question we are told that
The lower class limit is 0
The class width is 2
The scores is 8,6,2,4,2,0,2,6,7
The frequency distribution is
S/N Class limit Frequency
1 0-2 4
2 3 -4 1
3 5-6 2
4 7-8 2
5 9 - 10 0
6 11 - 12 0
Generally the upper class boundary of the fifth class is mathematically represented as
[tex]CB_5 = \frac{10 + 11}{2}[/tex]
[tex]CB_5 = 10.5[/tex]
When the polynomial:
[tex]h(x) ={dx}^{3}+{fx}^{2} - 7x - 6[/tex]
is defined by
[tex]x - 1[/tex]
its remainder is
[tex] - 10[/tex]
and when it is divided by
[tex]x - 3[/tex]
the remainder is
[tex]36[/tex]
find the values of the constant d and f
QUESTION 9
The diameter of a sphere is 6 ft 6 in. Find the radius.
O a. 3 ft 12 in
O b. 12 ft 12 in
O c. 3 ft 3 in.
d. 17 ft 8 in.
O e. 12 ft 3 in.
Suppose that $9000 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
Answer:
First year would be 9180 and the second year would be 9363.6
Step-by-step explanation:
I just take the interest 2% make it a decimal .02 and times that by 9000 which gives you 180 then just add that to the 9000 for the first year and then for the second take 9180 times .02 which gives you 183.6 and just add that too 9180 to get 9363.6
Simplify 2(9* 5+3^2) + 4
Answer:
112
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
2(9 × 5 + 3²) + 4
Step 2: Exponents
2(9 × 5 + 9) + 4
Step 3: Multiplication
2(45 + 9) + 4
Step 4: Parenthesis
2(54) + 4
Step 5: Multiply
108 + 4
Step 6: Add
112
the admission fee to an amusement park is $17. It costs an additional c dollars to rent a locker to hold your belongings. the total cost for 10 to enter the amusement park and each rent a locker is $260 how much does it cost for one person to rent a locker
Answer:
$9
Step-by-step explanation:
$260-$170=90
90/10=9
We know that $17 * 10 = $170
c = amount of money to rent a locker.
$170 + 10c = $260
Subtract $170 from both sides.
10c = $90
Divide both sides by 10
c = $9
It cost $9 for one person to rent a locker.
If Jonny and Suzy share a $10 burger, how much does each owe?
Answer: $5
Step-by-step explanation:
10/2=5
2 people x $10 = $5
The change will be a whole dollar amount, which can be negative, zero, or positive. Thus the change will be a(n
Answer:
Integer number
Step-by-step explanation:
A "whole dollar" amount means, there's no decimal point, or cents in the dollar amount.
This represents a whole number, which is an integer.
It is an integer because we are told that the while dollar amount could be negative, positive or zero.
A number that is zero, positive or negative, which is also not a fraction nor a decimal, meets the true definition of what can be referred to as an integer.
Thus, the whole dollar amount change could be 0, -4, 4.
Do the binary numbers “0011” and “000011” have the same value or different values? Explain.
Using binary to decimal conversion, it is found that the numbers have the same values.
----------------------------------
0011
Converting from decimal, the number is given by:
[tex]0011 = 1\times2^0 + 1\times2^1 + 0\times2^2 + 0\times2^3 = 1 + 1 + 0 + 0 = 2[/tex]
----------------------------------
000011
Converting from decimal, the number is given by:
[tex]000011 = 1\times2^0 + 1\times2^1 + 0\times2^2 + 0\times2^3 + 0\times2^4 + 0\times2^5 = 1 + 1 + 0 + 0 + 0 + 0 = 2[/tex]
In both cases, the result of conversion is 2, thus, they have the same value.
A similar problem is given at https://brainly.com/question/7978210
To transform a binary number to a decimal number we need to multiply each of the components of the binary number by 2 to the power of the place value minus one, and sum all of that.
Based on this, we will see that 0011 and 000011 have the same value.
For example, the number 01 will be:
[tex]0*2^1 + 1*2^0 = 1[/tex]
The number 1010 will be:
[tex]1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 1*8 + 1*2 = 10[/tex]
Now let's convert the two given numbers to decimals:
0011
[tex]0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3[/tex]
000011
[tex]0*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3[/tex]
So exactly like in decimal numbers, adding zeros to the left side does not affect the value.
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Which equation represents a line with a a slope of -8 a y-intercept of 4
Answer:
y=-8x+4
Step-by-step explanation:
Crystal Rollerbladed 150 feet in 15 seconds, while Gavin rollerbladed 150 feet in 10 seconds. Without doing any calculations, who is faster? Why?
Crystal was faster because her distance was less than Gavin's.
Crystal was faster because her time was less than Gavin's.
Gavin was faster because his distance was less than Crystal's.
Gavin was faster because his distance was less than Crystal's.
Answer: Gavin was faster because his time was less than Crystal's.
Step-by-step explanation: They rollerbladed the same distance but Gavin did it in less time.
Hope this helped!
Mark Brainliest if you want!
Answer:
i belive the answer is D tell me if im doing it wrong
Step-by-step explanation:
Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place. Josh's number is less then 500,000. Is Josh's number greater than 480,000?
Answer:
Step-by-step explanation:
Using the digits 8,4,7,2,9 and 0 to write a whole Number with 7 in the thousands place and 2 in the tens place :
The whole number is 6 digits long
100 thousand
10 thousand
Thousand = 7
Hundred
Tens = 2
Unit
Also the whole number is less than 500,000
Hence, number in the 100 thousand place is less Than 5,
Hence digit in the 100 thousand place = 4
Placing either 8 or 9 in the ten thousand place will mean That Josh's whole number is greater than 480,000
If the triangle above is translated so that A becomes A’ (-3,1) then c becomes
Answer:
c'
Step-by-step explanation:
Muna is making a scale drawing of a gecko. The gecko is 1:2 inch wide and 5 inches long. she decides to make her drawing of the gecko 1 inch wide. How long will the drawing be ? show your work
Answer:
L= 0.83 in
Step-by-step explanation:
Width= 1.2 in when length = 1 in
Required
Determine the length when width = 1 in
First, we need to determine the ratio
Ratio = [tex]\frac{Width}{Length}[/tex]
Ratio = [tex]\frac{1.2}{1}[/tex]
Ratio = 1.2 ---(1)
Let the required length be represented with L
So:
Ratio = [tex]\frac{Width}{Length}[/tex]
Ratio = [tex]\frac{1}{L}[/tex] ---(2)
Equate (1) and (2)
[tex]\frac{1}{L}[/tex] = 1.2
Multiply through by 1.2
L * [tex]\frac{1}{L}[/tex] = 1.2 * L
1 = 1.2 * L
Divide through by 1.2
L = [tex]\frac{1}{1.2}[/tex]
L = 0.83 in (Approximated)
65.8 percent of what number is 14
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{21.27}}}}}[/tex]
Step-by-step explanation:
Let the number be x
Create an equation
[tex] \sf{65.8\% \: of \: x = 14}[/tex]
[tex] \longrightarrow{ \sf{ \frac{65.8}{100} x = 14}}[/tex]
[tex] \longrightarrow{ \sf{x = \frac{14}{ \frac{65.8}{100} } }}[/tex]
[tex] \longrightarrow{ \sf{x = 14 \times \frac{100}{65.8}}} [/tex]
[tex] \longrightarrow{ \sf{x = 21.27}}[/tex]
Hope I helped!
Best regards! :D
Find the general solution of the given system.
dx dt = 6x − y
dy dt = 36x − 6y
Answer:
[tex]y = 6x + C[/tex]
Step-by-step explanation:
Given the system of equations
dx/dt = 6x − y ............. 1
dy/dt = 36x − 6y ............ 2
Divide equation 2 by 1;
[tex]\dfrac{dy/dt}{dx/dt} = \dfrac{36x-6y}{6x-y} \\\\\dfrac{dy/dt}{dx/dt} = \dfrac{6(6x-y)}{6x-y}\\ \\\dfrac{dy/dt}{dx/dt} = 6\\\\\dfrac{dy}{dt}* \dfrac{dt}{dx} = 6\\\dfrac{dy}{dx} = 6[/tex]
cross multiply
[tex]dy = 6dx\\[/tex]
integrate both sides of the expression
[tex]\int\limits {dy} = \int\limits {6} \, dx \\\\y = 6x + C[/tex]
Hence the general solution to the system of equation is [tex]y = 6x + C[/tex]
