Answer: 1346.2 Milimeters
Step-by-step explanation:
4ft 5in = 53in
53x25.4= 1346.2
The path of a prairie dog as it burrows underground is modeled by the equation
y22
= x2 – 2.4x , where x is the linear distance in meters from where the prairie dog
went underground. The graph shows the path of a prairie dog after burrowing under
the ground at (0, 0). At which distance, x, from (0, 0) does the prairie dog reach to
ground level?
2.4 meters separate the prairie dog from (0,0) and the ground level.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
To find the distance x from (0,0) where the prairie dog reaches ground level, we need to find the point on the graph where y=0.
Substitute y=0 into the equation:
0 = x^2 - 2.4x
Factor out x:
0 = x(x - 2.4)
So either x = 0 or x - 2.4 = 0.
If x = 0, the prairie dog is still underground, so we take x = 2.4 as the distance from (0,0) where the prairie dog reaches ground level.
Therefore, the prairie dog reaches the ground level at a distance of 2.4 meters from (0,0).
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The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.12 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answer:
82.02
Step-by-step explanation:
78.12 x 0.2 = 15.62 tip
78.12 x 0.15 = 11.72 discount
78.12-11.72 = 66.40 discounted meal price
66.40 + 15.62(tip) = 82.02 total meal price
What is the initial value?
A. -8
B. -5
C. 0
D. 7
Answer:
A. -8
Step-by-step explanation:
Given the values of the function in a table, to determine the initial value of the function, you need to determine where x = 0.
Since the function is linear, the rate of change will be constant/the same.
To find the rate of change, you need to divide the change in the y value by the change in the x value.
X Y
+2↓ -5 | 7 ↓ -6
+2↓ -3 | 1 ↓ -6
+2↓ -1 | -5 ↓ -6
1 | -11
_____________
Since y changes by -6 and x changes by +2 every time, ∆Y/∆X = -6/+2 [Reduce] = -3/+1.
Slope = -3.
This means that y will decrease by 3 units every increase of 1 unit in x.
If (-1, -5) is a point which means that -1 is x when -5 is y.
We can apply the rate of change to see where x = 0.
So -5 + 1(-3/+1) → -5 + -3 = -8
All right so i need someone to walkthrough the way to do this cause i'm lost. please do it step by step! Thanks!
Step-by-step explanation:
Hey there! Your answer :-
The skeletal formula of a quadratic equation is :-
[tex]\sf{ax^2 + bx + c}[/tex]
According to this question, we have :-
[tex]\sf{3x^2 + 8x + 4}[/tex]
So, the answers :-
a = 3b = 8c = 4Hope it helps :) Best of luck for your future!
Tell whether the events are independent or dependent. Explain PLEASE HELP I WILL GIVE BRAINLIEST!!!
Answer:
5: independent, 6:independent, 7:independent, 8:dependent, 9:dependent
Step-by-step explanation:
5 is independent because the first roll of the die does nothing to affect the second.
6 is independent because the first flip of the coin does nothing to affect the second
7 is independent because the first draw from the bag does nothing to impact the second, if they didn't place a marble back then it would become dependent.
8 is dependent because by keeping the first marble you change the odds for the second draw. The second draw depends on the first.
9 is dependent because there is a set amount of names placed into this raffle. Say to start you have 12. That means you have a 1/12 chance of being chosen. Once your name is drawn it goes up to a 1/11 chance. The first action directly impacts the second making it dependent.
Please help I’ll make you the brainiest
Find the midpoint of (-4,-2) and (4,-2)
Answer:
(0,−2)
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Your formula is:}\downarrow[/tex]
[tex]\mathsf{M = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})}[/tex]
[tex]\mathsf{x_1 = -4}[/tex]
[tex]\mathsf{x_2 = 4}[/tex]
[tex]\mathsf{y_1 = -2}[/tex]
[tex]\mathsf{y_2 = -2}[/tex]
[tex]\mathsf{Equation: m= (\dfrac{-4+4}{2}, \dfrac{-2+-2}{2})}[/tex]
[tex]\mathsf{-4 + 4 = \bf 0}[/tex]
[tex]\mathsf{m = (\dfrac{0}{2},\dfrac{-2+-2}{2})}[/tex]
[tex]\mathsf{-2 + -2 = \bf -4}[/tex]
[tex]\mathsf{m = (\dfrac{0}{2}, \dfrac{-4}{2})}[/tex]
[tex]\mathsf{\dfrac{0}{2}=\bf 0}[/tex]
[tex]\mathsf{\dfrac{-4}{2}=\bf -2}[/tex]
[tex]\mathsf{m= \bf (0, -2)}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf (0,-2)}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Factor completely x2 − 49. (1 point) (x − 7)(x − 7) (x + 7)(x − 7) (x + 7)(x + 7) Prime
Answer:
(x + 7)(x - 7)
Answer:
b is right
Step-by-step explanation:
Simplify: 6 - 4[3(2x + 5) - 4x]
A. 8x + 30
B.4x + 30
C.8x + 42
d. -8x - 54
Answer:
D. -8x-54
Step-by-step explanation:
Apply the distributive property.
6-4(3(2x)+3*5-4x)
Multiply 2 by 3
6-4(6x+15-4x)
Multiply 3 by 5
6-4(6x+15-4x)
Subtract 4x from 6x
6-4(2x+15)
Apply the distributive property.
6-4(2x)-4*15
Multiply 2 by -4
6-8x-4*15
Mutliply -4 by 15 6-8x-60
Subtract 60 from 6
help help help helpheplheplhepl
Answer:
1. E
2. D
3. C
4. B
5. E
6. E
7. E
8. E
9. D
Step-by-step explanation:
I hope this helps
please help 11 points ☆
Answer:
:)
Step-by-step explanation:
HM TM M HTH TTH TH H T O
1. 2 4 5 8 2 3 6
2. 4 5 3 7 9 2 0 0
3. 1 5 7 9 0 5
4. 3 7 8 2 6 4 3 3 5
5. 6 7 8 9 4
brad buys a pack of 12 energy drinks for £9.25
he sells all 12 for £1
work out the percentage profit
give your answer correct to 2 significant figures
Answer:
I dont I know i want points
6 out of 18 in a fraction
Answer:1/3
Step-by-step explanation:1/3 is the simplified fraction for 6/18 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 6/18 by using the prime factorization method.
Answer:
6/18=1/3
Step-by-step explanation:
here so the 6 is common with 18 and so that is 3
A triangle has angles measuring 35° and 90°. What is the measure of the third angle?
Answer:
55 degrees
Step-by-step explanation:
All the angles of a triangle should add up to 180 degrees.
So, if you add angles 1 and 2 together and subtract them from 180 it will result in the unknown angle.
35+ 90 + x = 180
125 + x = 180
x = 55
Mary wanted to solve the system of equations shown. She first used row reduction to get the system into 2 equations with 2 variables, x and y. She then used her calculator and got the graph shown. What is the solution to her system?
Answer: (2, -1, 3)
Step-by-step explanation:
The graph shows you that x=2 and y=-1 so, plug those values back into one of the equations to solve for z. You should get z=3 giving you a solution of (2, -1, 3).
Explain your answer please ;w; : Change -2Y - 2X = -6 to the slope intercept form of the equation of a line.
Answer:
y = -x + 2
Step-by-step explanation:
The desired equation must have the form y = mx + b.
Start with -2Y - 2X = -6 and solve for y: y + x = 2
Now solve this result for y:
y = -x + 2
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Answer:
B they equations i are múltiple
A rectangle has a length of 5 cm and a
width of 4 cm. Every dimension is
tripled to form a second rectangle.
What is the ratio of the areas of the two
rectangles?
Answer:
1:9
Step-by-step explanation:
First Rectangle:
width x height = area
4 * 5 = 20
Second Rectangle:
(4*3)*(5*3)=x
12 * 15 = 180
Ratio:
180/20 = 90
1:9
Answer:
1:9 or 1/9
Step-by-step explanation:
if a rectangle is 5cm × 4cm
Area of rectangle= length ×width
= 5 × 4
=20cm²
if we triple dimensions of a rectangle we get the second rectangle
therefore, (5×3)cm × (4×3)cm
Area of second rectangle= 12 ×15
=180cm²
ratio is 20/180= 1/9 (Ans.)
Rewrite the quadratic equation in standard form y=5(x-2)^2+7
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
y=ax²+bx+c Simplify each term.
y=5x²−20x+20+7
Add 20 and 7.
y=5x²−20x+27
by-step explanation:
Ratio..A candy store sells snacks by weight. A six ounce bag of candy cost $3.60. Predict the cost of a 2ounce bag.
Answer:
A 2 ounce bag costs $1.2.
Step-by-step explanation:
With the information provided, you can use a role of three to find the cost of a 2 ounce bag given that you know that a six ounce bag costs $3.60.
6 ounce bag → 3.60
2 ounce bag → x
x=(2*3.60)/6
x=7.20/6
x=1.2
According to this, the answer is that a 2 ounce bag costs $1.2.
claire makes bracelets using blue and red beads. each bracelet has 20 red beads and 5 blue beads. write an ordered pair to represent the number of red beads and blue beads claire will use to make 8 bracelets.
What is sin 23°?
Helpppp!
Answer:
C. 5/13
Step-by-step explanation:
Remember SOHCAHTOA
Sine is opposite over hypotenuse. The side opposite the 23° angle is 5, and the hypotenuse is 13.
So, sin 23° = 5/13
The value of sine 23 from the provided triangle can be expressed as [tex]\frac{5}{13}[/tex], option C is correct.
What are the basic principles of trigonometry?Trigonometry has three fundamental operations: sine, cosine, and tangent. The cotangent, secant, and cosecant are three crucial trigonometric functions that can be derived from these three fundamental ratios or functions. These functions serve as the foundation for all the key ideas in trigonometry.
[tex]Sine x = \frac{opposite}{ hypotenuse. }[/tex]
side opposite = 5,
the hypotenuse= 13.
[tex]sin 23 = \frac{5}{13}[/tex]
Therefore, option C is correct.
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If you borrow $5000 at an interest rate of 8% for 9 years how much interest will you pay? (I got $3600 but I don't know if its right)
Step-by-step explanation:
Principal:- $5000
Rate= 8%
Time = 9 years
Interest = P×R×T/100
= 500×8×9/100
= 5×8×9
= 40×9
= 360
Hence, Interest = $360.
if it helps don't forget to like and mark me
Please please help me with this question ASAP ASAP please
An initial population if 1000 starfish double each year for 4 years. What is the population after 4 years?
Answer:
16,000 starfish
Step-by-step explanation:
year 0: 1000
year 1: 2000
year 2: 4000
year 3: 8000
year 4: 16000
Please help (no links or I will report you)
Answer:
0.60 or 0.6
Step-by-step explanation:
Divide three by five :)
3÷5= 0.6
who wants to be friends? and what is the square root of a decimal
Answer:
Mee
Step-by-step explanation:
(6.8 X10)–(7.2 X 10)
1.1 X 104
X 10
Go to two decimal places
Answer:
5.53 * 10^-1
Step-by-step explanation:
[(6.8 * 10^3) - (7.2 * 10^2)] ÷ 1.1 * 10^4
(6800 - 720) ÷ 11000
6080 ÷ 11000
6.08 * 10^3 ÷ 1.1 * 10^4
(6.08 ÷ 1.1) * 10^3-4
5.527 * 10^-1
= 5.53 * 10^-1
Given P(A) = 0.56, P(B) = 0.45 and P(B|A) = 0.7, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.
Answer:
P(A and B) = P(AnB)
Step-by-step explanation:
[tex]P( \frac{A}{B} ) = \frac{P(AnB)}{P(B)} \\from \: bayes \: theorem \\ P(AnB) = P(B) \times P( \frac{A}{B}) \\ = 0.45 \times 0.7 \\ = 0.315[/tex]
Answer: 0.392
Step-by-step explanation:
So P(A)xP(B|A)= P(AnB)
Plug in
0.56x0.7=0.392
Find the area of this figure
Answer:
216 in2
Step-by-step explanation:
the area of the rectangle is
20(12)=240
area of the triangle is
4(6)= 24
so now we subtract, 240-24= 216 in2
Answer:
228
Step-by-step explanation:
12x8=96 (times 2= 192)
20-(8+8 or 16)=4
4x12=48
------------------------------
6x4=24 (divided by 2 because it is a triangle=12)
48-12=36
------------------------------
192+36=228