The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers.
8 is an a integer, a whole number and a rational number.
Hope this helps,
if so mark brainliest...
A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t
Answer:Step by Step Solution
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
h*(t)-(16*t^2+192*t)=0
STEP
1
:
Equation at the end of step 1
ht - (24t2 + 192t) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
ht - 16t2 - 192t = t • (h - 16t - 192)
Equation at the end of step
3
:
t • (h - 16t - 192) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : t = 0
Solution is t = 0
Equation of a Straight Line
4.3 Solve h-16t-192 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line h-16t-192 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
Calculate the X-Intercept :
When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000
h-intercept = 192/1 = 192.00000
Calculate the Slope :
Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.125/2.000 = 0.062
Geometric figure: Straight Line
Slope = 0.125/2.000 = 0.062
h-intercept = 192/1 = 192.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
t = 0
Step-by-step explanation:
Find the line of best fit for the relationship between calories and fat.
y=0.0714x-9.2682
y=1.2653x+14.452
y=2.5612x+4.9045
y=1.139x-6.7093
Answer: Choice A
y=0.0714x-9.2682
==============================================
Explanation:
I used GeoGebra (free graphing software) to find the line of best fit, aka the regression line. You can do so by hand, but I think it's tedious busywork and prefer to use technology whenever possible. Other graphing and spreadsheet programs are able to compute the regression line as well.
Check out the diagram below.
70 = 19 - 3x
what does x equal?
Step-by-step explanation:
→ 70 = 19 - 3x
→ - 19 + 70 = -3x
→ 51 = -3x
→ -3x = -51
→ x = -51/3 = -17
→ x = -17
therefore, value of x is -17.
hope this answer helps you dear!
Answer:
[tex]\boxed{\bf x=-17}[/tex]
Step-by-step explanation:
[tex]\bf 70=19-3x[/tex]
[tex]\bf 19-3x=70[/tex]
[tex]\boxed{\bf Subtract \: 19\: from\: both\: sides:}[/tex]
[tex]\bf 19-3x-19=70-19[/tex][tex]\bf -3x=51[/tex][tex]\boxed{\bf Divide \: both\:sides\: by -3:}[/tex]
[tex]\bf \cfrac{-3x}{-3}=\cfrac{51}{-3}[/tex][tex]\bf x=-17[/tex]need help!! I would give you brainliest if it is correct <3
Answer: No
Step-by-step explanation:
HELLOPPPPPPPPPPP PLEASEEE GEOMETRY
Answer:
the answer is low of contrapositive
Ms. Dirr is selling her car to her sister. The original price of the car was $24,179 and
each year the car decreasing (goes down) by $3000. Write a function rule where C =
value of the car and y = number of years
O C = 3000 - 24179y
O C = 24179 - 3000y
O C = 3000 + 24179y
OC - 24179 + 3000y
Answer: 24,179 - 3000y
Step-by-step explanation: Each year the car goes down by 3000 since you said it was decreasing, so y represents the year and you eould out it next to the 3000 to represent that 3000 is being decreased every year.
HELP GUYS!! CAN U EXPLAIN ON HOW TO DO THIS I REALLY DONT UNDERSTAND TYY
Answer:
If your Simplifying well the answer would be 9/20
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 18 and 40 is 2
Divide both the numerator and denominator by the GCD
18 ÷ 2
40 ÷ 2
Reduced fraction:
9
20
Therefore, 18/40 simplified to lowest terms is 9/20.
Anna's car can go 180 miles on 5 gallons of gas. During a drive last weekend. Ann used 8 gallons of gas. How far did she drive?
Answer:
Ann drove miles
Step-by-step explanation:
You have to do 180 / 5 = 36 wich is how many miles is in 1 gallon
Then you do 36x8 = 288
Hope this helps !!
Have a blessed day <333
what is the difference between the independent, dependent, predictor, outcome, response variables?
The outcome variable is also called the response or dependent variable, and the risk factors and confounders are called the predictors, or explanatory or independent variables. In regression analysis, the dependent variable is denoted "Y" and the independent variables are denoted by "X".
7y+3=3x+11
find x and y
Answer:
7y + 3 = 3x + 11
7y = 3x + 11 - 3
7y = 3x + 8
y = 3x + 8 / 7
7y + 3 = 3x + 11
7y + 3 - 11 = 3x
7y - 8 = 3x
x = 7y - 8 / 3
A baker used 3kg of baking powder every for every 12kg of flour. if he used 180kg of flour for the Christmas season. how many kg of baking powder did he use in all. help now, please
Answer:
Step-by-step explanation:
12 kg of flour for 3 kg of baking powder
so 1 kg of flour = 3/12 or 1/4 of baking powder
180 kg of flour = [tex]\frac{1}{4}[/tex] × 180 kg of baking powder
= 45 kg of baking powder for 180 kg of flour
please give me a brainliest answer
Step-by-step explanation:
Step-by-step explanation:
12 kg of flour for 3 kg of baking powder
so 1 kg of flour = 3/12 or 1/4 of baking powder
180 kg of flour = 14\frac{1}{4}
4
1
× 180 kg of baking powder
= 45 kg of baking powder for 180 kg of flour
please give me a brainliest answer
Kevin earns 2.4% interest each year on the money in his savings account. He kept $157.00 in his savings account for an entire year. How much money did Kevin earn in interest?
Answer:
That is the solution
Step-by-step explanation:
157,00.102,4%=
..........
..........
160,768
Please help me with this math probelm ASAP!! Will give brainliest!! :)
Answer:
z=21, x=1, y=9
Step-by-step explanation:
3z=63 (a property of a kite)
z= 21
3x-1=2x (another property of a kite)
x=1
y+4=13 (another property of a kite)
y=9
Be sure to know your properties!
The graph below shows the solution to an inequality
Which inequality matches this graph?
A. 2y−5 x
C. 2x−5 y
The inequality that matches the graph shown above is 2x - 5y ≤ 10. This inequality represents all the points on or below the boundary line of the graph. The line passes through the points (0, -2) and (5, 0) and has a slope of 2/5.
To verify this, we can select a point not on the line, like (0, 0), and substitute its coordinates into the inequality. We get: 2(0) - 5(0) ≤ 10, which simplifies to 0 ≤ 10. Since this is true, all the points on or below the line satisfy the inequality.
The given graph shows the shaded region below the line 2x - 5y = 10, and on the line itself.
To find the inequality that matches the graph, we can identify the slope and intercept of the line and write it in slope-intercept form, y = mx + b. The slope is found by dividing the change in y by the change in x between two points on the line.
Taking the two points (0, -2) and (5, 0), we get a slope of (0 - (-2))/(5 - 0) = 2/5.The y-intercept is where the line crosses the y-axis, which is the point (0, -2).
Using this information, we can write the line in slope-intercept form as y = (2/5)x - 2. The inequality that matches the graph is the one that includes all the points on or below this line. Since the line itself is included, we use the less than or equal to sign, giving us the inequality 2x - 5y ≤ 10.
for such more questions on inequality
https://brainly.com/question/30238989
#SPJ8
Fill in the missing information
Answer:
Step-by-step explanation:
1) AB ≅ AD Given
BC ≅ BD
2) Given
3) AC ≅ CA Reflexive property
ΔABC ≅ ΔADC
4) S S S Congruent
5)∠B ≅∠D CPCTC
Find the slope of the line that goes through the given points. (2,2) and (3,2)
Answer:
0
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 2-2)/(3-2)
= 0/1
= 0
simplify the following expression
Answer:
x^4/64y^10
Step-by-step explanation:
Answer:
=4
Step-by-step explanation:
823 can be written as
3√82
=3√64
=3√(4)(4)(4)
=4
A spinner has 8 sections: 2 purple, 2 yellow, 3 blue,
and 1 red.
What is the probability of spinning and landing on
a color that is not yellow?
6
3
P(not yellow) = 6
P(not yellow) = 6/8
P(not yellow) = 2/8
Answer:
p=6/8
Step-by-step explanation:
there are 8 sections total and 6 sections that are not yellow
you have a 6 in 8 chance of landing on a color that isn't yellow/
6/8
hope this helps!
Eliot went to the store and bought 4 1/2 pounds of chicken for $12.00. What was the cost per pound of chicken? round you answer to the nearest cent is necessary.
I will give you brainly
Answer:
$2.67
Step-by-step explanation:
$12.00 divided by 4.5 (aka four and a half) = 2.6666 = amount per pound
Round to the nearest cent. 2.666, that last six makes the six in the hundredths place round up to 7.
I need help with a and b!
Answer: first a it’s left side is shorter while on the other polygoes there left sides longer for the first two
in the third one it goes size wise
Step-by-step explanation:
can someone give me the coordinates that each option should be placed at??? hurry please!
Answer:
x = -10
Step-by-step explanation:
-2x - 10y = 20 (plug y=0)
-2x = 20
x = 20/-2
x = -10
Describe and correct the error.
29. |-13|-|13|
=-13-13
=-26
30. -6(x-5)
=-6x-30
The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3 inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height.
Answer:
(64.7, 67.9)
Step-by-step explanation:
(66.3-2*08, 66.3+2*0.8)
(66.3-1.6, 66.3+1.6)
(64.7, 67.9)
Can y’all help me with this question
Answer:
I'm 100% sure it's 50.
Step-by-step explanation:
Choose the appropriate condition for the following pairs of triangles to be congruent.
Solve for y
A 3
B 5
C 2
D 4
Answer:
y = 4
Step-by-step explanation:
The three lines means those segments are equal
4y+8 = 24
Subtract 8 from each side
4y+8-8 = 24-8
4y = 16
Divide each side by 4
4y/4 = 16/4
y = 4
Kirsty is making a fruit drink for 9 people. How many oranges does she use?
Answer:
9
Step-by-step explanation:
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :This is question no picture soo iam in step question before.
x² = 3² + 4²
x² = 9 + 16
x² = 25
x = 5yd✔
\text{walmart sells 6oz bottle of laundry detergent for 4.80. what is the price per ounce
SHOW ME HOW YOU SOLVED IT!
Answer:
Wsg luh girl
Step-by-step explanation:
Solve 4(x−5)=6x. You must SHOW EACH STEP for full credit.
Answer:
x = − 10
Step-by-step explanation:
Let's solve your equation step-by-step.
4 ( x − 5 ) = 6x
Step 1: Simplify both sides of the equation.
4 ( x − 5 ) = 6x
( 4 ) ( x ) + ( 4 ) ( − 5 ) = 6x ( Distribute )
4x + − 20 = 6x
4x − 20 = 6x
Step 2: Subtract 6x from both sides.
4x − 20 − 6x = 6x − 6x
− 2x − 20 = 0
Step 3: Add 20 to both sides.
− 2x − 20 + 20 = 0 + 20 − 2x = 20
Step 4: Divide both sides by -2.
− 2x / − 2 = 20 / − 2
x = − 10