Answer:
50.42m/sStep-by-step explanation:
Average speed is the change in distance of a body with respect to time. This is expressed as:
[tex]v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}[/tex]
Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]
t₁ = 1sec and t₂ = 2 secs
y(t₂) = 56t₂ − 1.86t₂²
y(2) = 56(2) − 1.86(2)²
y(2) = 112-7.44
y(2) = 104.56
y(t₁ ) = 56t₁ − 1.86t₁ ²
y(1) = 56(1) − 1.86(1)²
y(1) = 56-1.86
y(1) = 54.14
Substituting the derived value into the formula for finding the average speed:
[tex]v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s[/tex]
Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s
Very important algebra 2 question
Answer:
Left
Step-by-step explanation:
When x is being added to inside the parenthesis, it is being moved left.
Is 7/13 greater than 1/2?
yes
Step-by-step explanation:
7/13 isore than 1/2
Answer:
No 7/13 is not greater then 1/2
Step-by-step explanation:
7/13=1/2
7/13 is 0.05 and 1/2 is only 0.5
Point A is the pre-image of a vertex of a square and is located at (-10,8). The square is dilated with the center of dilation at the origin. Point A' is the image and is located at (-7.5,6). What is the scale factor of the dilation?
Answer:
the scale factor would be .75 or 3/4
Step-by-step explanation:
Answer:
the answer is .75
Step-by-step explanation:
Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statement about the estimate is true?
Answer:
D. The number will be less than 1 because when adding the exponents,
11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.
Step-by-step explanation:
The question lacks appropriate option. Find the options below;
A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.
B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.
C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.
D. The number will be less than 1 because when adding the exponents,
11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.
Given the expression [tex](4.296*10^{11})(1.8614*10^{-14})[/tex], to expand the expression we will apply some of the law of indices below. If a, b and m are integers
[tex]a^m*a^n = a^{a+m}[/tex]
[tex]= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\ power\ of\ the \ exponents\\\\= 7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\[/tex]
= 0.0079965744
Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.
Answer:
The number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.
Step-by-step explanation:
Took the quiz (:
It costs $13 to rent a canoe and $5.50 to use the canoe for an hour. You have $29.50. Write an equation that represents the number $h$ of hours you can rent the canoe.
Answer:
Step-by-step explanation:
The base number is 13 dollars since you must pay it before adding hourly expenses.
Every hour, you have to pay 5.50.
So, the total cost would equal:
29.50 - (13 + 5.5h) < 29.50
Think: you have 29.50. you must pay 13 dollars before using it. it costs 5.50 for each hour. your money must be less than your total.
Hope this helped :)
Simplify (please show work if possible)
Answer: -6x^7
Step-by-step explanation:
2x^3 × (-3x^4)
=(2×-3) · (x^3 × x^4) ⇔ multiply the like terms
=-6 × [x^(3+4)] ⇔ the multiplication of exponents works as addition if same base
=-6x^7
Answer:
[tex]-6x^7[/tex]
Step-by-step explanation:
So when doing this equation, you multiply the numbers, which is 2 × -3, and add the exponents, which is 3 + 4, so then you get the answer, and that is [tex]-6x^7[/tex].
If the ratio of blue marbles to red is 9:4 what is possible number of blue and red marbles in the jar
Answer:
13
Step-by-step explanation:
13 right? all ya gotta do is add em together right?
2) 1 - 3p+2p - 9
Your
answer
This is a required question
Answer:
-p - 8
Step-by-step explanation:
1 - 3p + 2p - 9 = -p - 8
What did the friend do wrong in this equation?
Answer:
4x + 2x = 90 NOT 180.
Step-by-step explanation:
x = 15 is the correct answer.
Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.
Answer: [tex]M = 50 + 7.50 h[/tex]
Step-by-step explanation:
As per the given scenario,
Total money Christina made = (Money she made in tips) + (Per hour wage ) x (Number of hours she work in one night) (i)
Let M is the total money she makes and h is the number of hours she works in one night.
Here, Money she made in tips = $ 50
Per hour wage = $7.50
So substitute all the values in (i), we get
[tex]M = 50 + 7.50 h[/tex]
Hence, the required function is [tex]M = 50 + 7.50 h[/tex].
3. Which words represent MULTIPLICATION
minus
times
product
quotient
Answer:
the answer is product and times.
5 concrete blocks form one-eighth of a structure. So how many concrete blocks are
required to form the structure?
Answer:
40
Step-by-step explanation:
5= 1/8 of structure so 5*8= 8/8 of the structure= 40
Answer:
40 blocks
Step-by-step explanation:
5 = 1/8 of x
multiply by reciprocal of (1/8) = 8
5(8) = x
x = 40
40 blocks
2. Select ALL of the sets to which the number belongs. 144 Natural Whole Integer Rational Irrational
Answer:
144 is:
Natural
Whole
Integer
Rational
[tex]\sqrt{144}[/tex] is:
Irrational
Step-by-step explanation:
Natural-All positive integers (144 applies) ([tex]\sqrt{144}[/tex] does not apply)
Whole-All positive integers and zero (144 applies) ([tex]\sqrt{144}[/tex] does not apply)
Integer- All positive and negative whole numbers and zero (144 applies) ([tex]\sqrt{144}[/tex] does not apply)
Rational-All integers, fractions, and non-repeating decimals (144 applies) ([tex]\sqrt{144}[/tex] does not apply)
Irrational-A real numbers that are NOT rational (144 does not apply) ([tex]\sqrt{144}[/tex] applies)
Now if you want to find which groups [tex]\sqrt{144}[/tex] belongs to, you must ask if this applies to any rules.
Help I’m being timed!!!!!!!
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
The answers are given in slope-intercept form.
[tex]y = mx+b[/tex]
The slope (m) in the question is -3. The y-intercept (b) is 8.
Plug the values in you get:
[tex]y=-3x+8[/tex]
Hope this helps.
Consider a rectangle with width of x units and an area of 10 square units. The length 1 of the rectangle can be
modeled by the function 7(x) = 10. Suppose the width of the rectangle increases 1 unit, while the area remains
constant. Which graph models the length of the new rectangle?
The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C
The graph in option 3 models the length of the new rectangle.
What is a rectangle ?Any figure bounded by 4 sides where the opposite sides are equal and all the angles are 90° is called rectangle.Area of the rectangle can be found by multiplying the length with its breadth.How to find which graph models the length of the new rectangle?According to the problem,
width of the rectangle is x unitsArea of the rectangle is 10 square unitsLength of the rectangle is given by f(x) = 10/xNow if width becomes (x+1) units
∴ Length will be represented as 10/(x+1)
Now from the given options we need to find the exact graph of f(x) = 10/(x +1)
Here if x = 4 , y =2
So the point (4 , 2) is satisfied which is only happening in the graph of option 3
Option 3 represents the correct graph
Find more about "Graphs" here : https://brainly.com/question/4025726
#SPJ2
How many integers at between 15 and 63?
Answer:
48
Step-by-step explanation:
63-15=48
Answer:
48
Step-by-step explanation:
You are going to subtract 63 from 15 becasue intergers are whole numbers so just subtract to find what is in between.
Solve for z in the literal equation 3/4(z+7)=y
Answer:
Below
Step-by-step explanation:
● (3/4)×(z+7) = y
Divide both sides by (3/4)
● (3/4)÷(3/4)×(z+7) = y÷(3/4)
● 1×(z+7) = y ÷(3/4)
● (z+7) = y ×(4/3)
● z+7 = 4y/3
Substract 7 from both sides
● z+7-7 = (4y/3)-7
● z = (4y/3)-7
This equation has infinite solutions. Every time you input a value you get a different solution.
The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.
Answer:
[tex] x = 2.5 [/tex]
Step-by-step explanation:
Surface area of cylinder = 2πr(h + r)
Volume of cylinder = πr²h
Given that S.A = Volume of the cylinder, therefore, we have:
2πr(h + r) = πr²h
Radius (r) is given as 2.5 cm
height (h) = x cm
Input the values and solve for x
2πr(h + r) = πr²h
2πr(h + r) = πr(rh)
2(h + r) = rh (πr cancels πr)
[tex] 2(x + 2.5) = 2.5*x [/tex]
[tex] 2x + 5 = 2.5x [/tex]
Subtract 2x from both sides
[tex] 2x + 5 - 2x = 2.5x - 2x [/tex]
[tex] 5 = 0.5x [/tex]
Divide both sides by 0.5
[tex] \frac{5}{0.5} = \frac{0.5x}{0.5} [/tex]
[tex] 2.5 = x [/tex]
[tex] x = 2.5 [/tex]
What is the length of the distance between the two points of (6, -2) and (3, 4)? Answer options attached, DUE IN 2 HOURS and will give BRAINLIEST!
Answer:
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
We can use the distance formula to find the distance between these two points. The distance formula is:
[tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
We know that x1 is 6, x2 is 3, y1 is -2, and y2 is 4, so we can substitute inside the equation.
[tex]\sqrt{(3 - 6)^2 + (4 - (-2))^2} \\\\\sqrt{-3^2 +6^2} \\\\\sqrt{9 +36}\\\\\sqrt{45}[/tex]
Hope this helped!
A set of data with 1200 numbers is normally distributed with a mean of 27 and a standard deviation of 4. How many numbers in the data would you expect to be between 23 and 31?
What numbers would be between 19 and 35 as well?
Help!
Step-by-step explanation:
The mean is 27 and the standard deviation is 4.
23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean. According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.
68% of 1200 is 816.
19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean. According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.
95% of 1200 is 1140.
Im not good at this..... please help
Answer:
B. Dependent Events
Step-by-step explanation:
Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.
Miguel started an exercise program that has him swim 8 laps each day during the first week. Each week he adds 2 laps to his routine. In which week will he swim 20 laps each day?
The quotient of two integers with same sign is always . The quotient of two integers with different signs is always .
Answer: When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with different signs, the result is always negative.
Step-by-step explanation:
Answer:
positive
negative
Step-by-step explanation:
Simplify the expression. [(7−3)⋅2+6]⋅3 a 21 b 26 c 42 d 96
Answer:
42
Step-by-step explanation:
[(7-3)2+6]3... [(4)2+6]3...[8+6]3....14(3)=42
Answer:
It should be c 42.
Step-by-step explanation:
Because [(7-3)2+6]3
[(4)2+6]3
[8+6]3
[14]3
42
Sorry if it's long
if 3/5 of the certain length is 210m then 5/7 of length is
Answer:
250 m
Step-by-step explanation:
Let the total length be x m.
[tex] \therefore \: \frac{3}{5} \times x = 210 \\ x = 210 \times \frac{5}{3} \\ x = 70 \times 5 \\ x = 350 \: m \\ \\ \frac{5}{7} \times x = \frac{5}{7} \times 350 = 5 \times 50 = 250 \: m[/tex]
How do I solve this equation 1x - 15 = 5x + 13
Answer:
x = -7
Step-by-step explanation:
This is a multi-step equation in algebra. We are expected to isolate the given variable and find the constant value that it is equal to. In order to do this, we can follow some steps:
1x - 15 = 5x + 13 Subtract 5x on both sides of the equation.
-4x - 15 = 13 Add 15 to both sides of the equation.
-4x = 28 Divide by -4 on both sides of the equation.
x = -7
You can input this value and make sure that the answer is correct.
1(-7) - 15 = 5(-7) + 13
-7 - 15 = -35 + 13
-22 = -22
-22 equals -22, so x = -7 is the solution to the equation.
Answer:
x= -7
Step-by-step explanation:
We are given the equation:
1x-15=5x+13
We want to solve for x. Therefore, we must isolate x on one side of the equation.
First, let’s move all the terms with variables to one side. Subtract 1x from both sides.
1x-1x-15=5x-1x+13
-15= (5x-1x)+13
-15=4x+13
Next, move all the constants, or terms without variables to one side. Subtract 13 from both sides.
-15-13=4x+13-13
-15-13=4x
-28=4x
Finally, divide both sides by 4. We should divide because x is being multiplied by 4 and the inverse of multiplication is division.
-28/4=4x/4
-28/4=x
-7=x
Let’s check our solution. Plug -7 in for x and solve.
1x - 15 = 5x + 13
1(-7) - 15 = 5(-7) + 13
-7-15=5(-7)+13
-22= 5(-7)+13
-22= -35+13
-22=-22
This checks out, so we know our solution is correct.
The solution to 1x - 15 = 5x + 13 is x= -7
Helpppppppppppppppppppppppppppppppppp
Answer:
c
Step-by-step explanation:
Answer:
C (I think)
Step-by-step explanation:
(Sorry in advanced. I haven't done this stuff in a while.)
It's basically asking for the numbers in between each number. Thing is that the symbols on each end makes all numbers positive. Looking at the graphs, there are none with all positives.
I'm very sorry if this isn't right but I believe its the correct answer. Tell me if it is!
What are the x-intercepts for the expression (x-4)(x+5)
Answer:
C. [tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]
Step-by-step explanation:
Given the expression, [tex] (x - 4)(x + 5) [/tex], the x-intercepts would be the values at which the expression = 0.
Rewrite the expression as:
[tex] (x - 4)(x + 5) = 0 [/tex],
Set the first and the second factors equal to 0
[tex] (x - 4) = 0 [/tex]
[tex] x = 4 [/tex]
[tex] (x + 5) = 0 [/tex]
[tex] x = -5 [/tex]
All the values that make [tex] (x - 4)(x + 5) = 0 [/tex] are the x-intercepts of the expression.
x = 4, -5
The point form of the x-intercepts are:
[tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]
Sally is making masks for her family. Her pattern calls for a rectangle that is 9 x 14. If one yard of fabric is 36 x 42 (after the salvage edge is removed), how many masks can she make from one yard of fabric? If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask? If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask? Answer: Number of masks: Cost using discount fabric: $ Cost using regular priced fabric:
Answer:
how many masks can she make from one yard of fabric?
the maximum she can obtain is 4 (9 x 4 = 36) x 3 (14 x 3 = 42) = 12 masks from one yard of fabric.If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask?
the fabric cost of 1 mask at a discount price = $3 / 12 = $0.25 per maskIf her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask?
the fabric cost of 1 mask at regular price = $9 / 12 = $0.75 per maskJane bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The tax on the entire purchase was $0.18. What was the total cost of the items?
Answer:
The answer to this problem is $3.50
Step-by-step explanation: