Answer:
17^2 or 289
Step-by-step explanation:
y=-16x^{2}+121x+83
Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
The time that rocket will hit ground is 8.196 seconds.
What is quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a ≠ 0) for an equation to be a quadratic equation.
Given equation y = -16x² + 121x + 83
let y be the from ground and x be the time,
the time when rocket hit ground y = 0
-16x² + 121x + 83 = 0
solving using quadratic formula
x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex])/2a
here a = -16, b = 121 and c = 83
[tex]\sqrt{b^{2} - 4ac}[/tex] = [tex]\sqrt{121^{2} - 4(-16)(83) }[/tex]
= [tex]\sqrt{14641 + 5312}[/tex] = 141.25
x = -(-121 + 141.28)/32 = -0.633
x = -(-121 - 141.28)/32
x = 8.196 second
Hence the time is 8.196 seconds.
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write an equation in slope intercept form for the line with slope 5 and y intercept -3.then graph the line
Answer:
Step-by-step explanation:
y=5x - 3
-3 is the y intercept. The line cuts the y axis at (0,-3). The slope is the number in front of the x -- in this case 5.
Determine whether the two triangles are congruent or not
Answer:
heyy
Step-by-step explanation:
heyy...
An article in a women's magazine says that women who choose to nurse their babies feel warmer and more receptive toward the infants than mothers
who bottle-feed. The author concludes that nursing has desirable effects on the mother's attitude toward the child. Explain why asserting a cause-and-effect relationship based on this information is suspect, and give another plausible explanation for the association between the decision to bottle-feed or nurse and mothers’ attitudes toward their children.
Asserting a cause - and - effect relationship with highly correlated variables may sometimes be misleading due to the presence of a possible lurking or confounding variable.
Lurking variables cause unintended or spurious association between correlated variables. In the scenario described, a possible confounding variable may be weariness or Fatigue which whereby the mother finds it easier to bottle feed as they have become psychologically disturbed and are prone to be more receptive during these period.
Hence, fatigue is a possible lurking variable in this scenario.
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Jackson has $1.50 in quarters and dimes. Let x represent the number of quarters and y represent the number of dime. Find the domain and range of this situation.
Answer:
3 dimes
Step-by-step explanation:
Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
EMERGENCY PLS
Working out/answer pls
1.) 16 divide 4 - 2 =
2.) (22 divide 2) x (15 divide 3) =
Answer: Number 1= 2
Number 2= 55
Step-by-step explanation:
1. 16 divided by 4 is 4, 4-2=2
2. 22 divided by 2 is 11, 15 divided by 3 is 5, 11x5=55
Answer: Q1.=2
Q2.=55
Step-by-step explanation:
-5/9 + (-7/12)
Reduce to simplest form
Answer:
[tex]-\frac{41}{36}[/tex]
Step-by-step explanation:
To add or subtract fractions, we need to make their denominators equal. To do so, we find the Least Common Denominator (LCD), then rewrite the fractions in the equation with that denominator.
The LCD of 9 and 12, the denominators, is 36 because [tex]9*4=36[/tex] and [tex]12*3=36[/tex].
Thus:
[tex]-\frac{5*4}{9*4} =-\frac{20}{36}[/tex] and [tex]-\frac{7*3}{12*3} =-\frac{21}{36}[/tex]
Now, add the fractions together.
[tex]-\frac{20}{36} -\frac{21}{36} =-\frac{20+21}{36} =-\frac{41}{36}[/tex]
Thus, the answer is [tex]-\frac{41}{36}[/tex].
Need help with question number 10. I don’t get it
Answer: False but true
Step-by-step explanation: This question is all about slope. Slope is rise over run (y/x).
Plant 1:
Plant one has a rate of change of 1 for x. You see how it's going up by 1. For y, it's going up by three, which means that the slope is 3/1, which is three. Three is not equal to six.
Plant 2: follow the points that touch the x and y intersections (my teacher calls them "pretty points"). You see that the slope is 1, because it's going up and right by 1, so 1/1.
Although the measurements are wrong, the statment is true, because 3>1.
pls try doing these 3 it is only one question each page
Answer:
yes
Step-by-step explanation:
Answer: 14x+11 ,8x−20,6x+12,1
Step-by-step explanation:
(4)(2x)+(4)(−1)+(3)(2x)+(3)(5)
=8x+−4+6x+15
Combine Like Terms:
=8x+−4+6x+15
=(8x+6x)+(−4+15)
=14x+11
(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)
=12x+−18+−4x+−2
Combine Like Terms:
=12x+−18+−4x+−2
=(12x+−4x)+(−18+−2)
=8x+−20
(2)(5x)+(2)(3)+(−2)(2x)+(−2)(−3)
=10x+6+−4x+6
Combine Like Terms:
=10x+6+−4x+6
=(10x+−4x)+(6+6)
=6x+12
A shipping company will ship a package for $7.50 when the volume is
no more than 15,000 cm. Grace needs to ship a package that is 3x - 5 cm long,
2x cm wide, and x + 20 cm tall.
Answer:
please see attch file.
Step-by-step explanation:
Answer: 2. 8 snickers cost $15. What will 40 snickers cost?
Answer:
$75
Step-by-step explanation:
note that 40 = 5 × 8
Given the cost of 8 then 40 will cost 5 times as much , that is
cost of 40 = 5 × $15 = $75
Order these decimals from least to greatest: 0.12, 0.123, 0.2, 0.13
Answer:
0.2,0.12,0.13,0.123.
HELP!!
What is the equation of the line graphed below? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
look at the photo........................
Answer:
[tex]y=2x+2[/tex]
Step-by-step explanation:
First, find the slope of the line using the points (2,6) and (-4,-6). Then, plug them into the point-slope equation.
[tex]m=\frac{6-(-6)}{2-(-4)}=\frac{12}{6}=2\\\\y-y_0=m(x-x_0)\\y-6=2(x-2)\\y=\frac{3x}{2}-4+6=2x+2[/tex]
The multiplication table below can be used to find equivalent ratios.
If h(x) = -2x - 10find h(-4)
-2
-18
-3
-16
Answer:
-2
Step-by-step explanation:
for each pair of similar triangles find the ratio of two side lengths. How do the ratios compare
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.Step-by-step explanation: ratios
Given that a=2, b=-3 and C=4, Calculate the value of
[tex] \frac{a {}^{2 } - bc}{b + c} [/tex]
Answer:
16
Step-by-step explanation:
[tex]\frac{(2)^2-(-3)(4)}{(-3)+4}[/tex]
[tex]\frac{4-(-3)(4)}{(-3)+4}[/tex]
[tex]\frac{4-(-12)}{(-3)+4}\\\\\frac{4+12}{(-3)+4}\\\\\frac{16}{(-3)+4}\\\\\frac{16}{4-3}\\\\\frac{16}{1}\\\\16[/tex]
The circumference of The bike is 72 inches. What is the diameter of the tire? 
Answer:
circumfrence is Diameter*π
so we cna reverse this
diameter= c/π
In this case the Circumfrnce is 72
72/π is 22.91 if used π
if used 3.14 its 22.92
I need help with surface area
The table shows the total cost of purchasing x same-
priced items and a catalog.
Total Cost
Number of Items Total Cost
(x)
(y)
1
$10
2
$14
3
$18
4.
$22
What is the initial value and what does it represent?
O $4, the cost per item
O $4, the cost of the catalog
$6, the cost per item
O $6, the cost of the catalog
Answer:
it's d
Step-by-step explanation:
doing the cumulative. have a good day or night
The initial value is $6 which shows the cost of the catalog.
What is Cumulative Frequency?The number of observations in a data set that are above (or below) a specific value can be found using cumulative frequency. A frequency distribution table, which can be created using stem and leaf plots or directly from the data, is used to compute the cumulative frequency.
We have the table
x y
1 $10
2 $14
3 $18
4 $22
Now, to find the initial value we have to calculate the Cumulative Frequency as
x y CF
1 $10 10
2 $14 4
3 $18 4
4 $22 4
So, the initial value is
=10-4
= 6
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Gemdas pls help
7x8+14/7-3+6
Answer:
13
Step-by-step explanation:
7x8 is 56
and plus 14 is 70. D
divided by 7 is 10
minus 3 is 7
+16 is 13
Solve for x, given that AB ≅ BC.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is ~
[tex] \boxed{5}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
As it's given that AB = BC, so let's plug the value of AB and BC in terms of x and equate them to solve for x ~
that is ~
[tex]2x - 1 = x + 4[/tex][tex]2x - x = 4 + 1[/tex][tex]x = 5 \: \: units[/tex]Answer:
See below for answer.
Step-by-step explanation:
AB ≅ BC Given
2x - 1 = x + 4 Definition of congruent
-x = -x
x - 1 = 4 Add -x to both side of the equation
+1 = +1 Add 1 to both sides of the equation
x = 5
Maya bought snacks for her team's practice. She bought a bag of oranges for $2.87 and a 3-pack of juice bottles. The total cost before tax was $6.38. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.
Answer:
total cost=$6.38
orange cost=$2.87
6.38-2.87=3.51
$3.51/3=$1.17 for a pack of juice
1 pack of juice =$1.17
Step-by-step explanation:
hope this helps good luck
m/8 = 4
Solve for m
m = ?
Answer:
[tex]m = 32[/tex]
Step-by-step explanation:
[tex] \frac{ m}{8} = 4 [/tex]
[tex] \frac{m}{8} = \frac{4}{1} [/tex]
Use cross multiplication
[tex]m \times 1 = 8 \times 4 \\ m = 32[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
If A = r – 2 and B = r^2 – 4r + 5, find an expression that equals 3A + 2B in
standard form.
Since expression = 3A + 2B [subsitute in values of A&B]
⇒ = 3(r – 2) + 2(r² – 4r + 5) [expnad the brackets]
= 3r - 6 + 2r² - 8r + 10 [group like terms ins stan. form]
= 2r² - 8r + 3r + 10 - 6 [simplify like terms]
= 2r² - 5r + 4
Note:
Standard form is ax² + bx + c (where x is any variable, in this case 'r', and a,b,c are the coefficients)
What is the formula for velocity, if displacement and time are known?
Answer:
velocity = displacement/change in time
Step-by-step explanation:
Answer:
v = delta s/ delta t
Step-by-step explanation:
velocity = change in displacement / change in time
Please help!!!!!!!!!!!!!!!!!!!
Answer:
Error in step 2 and step 3, corrected below
Step-by-step explanation:
Step | Justification
6 + x/3 = 15 | Given
x/3 = 15 | Subtract 6 from each side. Should be subtraction property
x = 27 | Multiply both sides by 3. Should be multiplication property
Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. Write an equation to find the number x.
Answer:
x+5·-2=6
Step-by-step explanation:
The sum of two The perimeter of a rectangle is 30cm. If the length is 3 cm longer than the width, find
the rectangle’s dimensions.
Answer:
Width: 6 cm
Length: 9 cm
Step-by-step explanation:
Width: x
Length: x + 3
2(x)+2(x+3) = 30cm
2x + 2x + 6 = 30
4x = 30-6
x = 24/4
x = 6
−2x+7y=10 3x+7y=2
what is the result of subtracting the second equation from the first