Answer:
The answer is 5³.
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]
[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]
So for this question :
[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = {5}^{10} \div {5}^{7} [/tex]
[tex] = {5}^{3} [/tex]
The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.
Answer:
a) 98m
b) 2m/s
Step-by-step explanation:
a) 2+4+6+8+10(8) = 98m
b) a = change/time = 8m/4s = 2m/s
not completely sure about a) so pls double check that <//3
good luck and hope this helped a bit!
The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².
How to find the area under a graph?The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.
The velocity time graph given in the problem can be used to find the distance travelled.
The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.
This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.
Now, the total area is given as,
1/2 × b × h + l × b
= 1/2 × 4 × 8 + 8 × 10
= 16 + 80
= 96
(b) The acceleration is given as the rate change of velocity with respect to time.
The acceleration in first 4 seconds is given as,
a = (8 - 0)/4
= 2
Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.
To know more about area of a graph click on,
https://brainly.com/question/26315835
#SPJ2
Which statement is true regarding the graphed functions? ((help please :,)
-3b+2=4b+9
pls answer hahaha
Please identify the common angles and sides or these triangles.
Answer:
see attached image
Step-by-step explanation:
In the diagram shown to the rig m
x-7(x-2)=10x+9-x
i need the answer asap pls
Step-by-step explanation:
x−7(x−2)=10x+9−x
Step 1: Simplify both sides of the equation.
x−7(x−2)=10x+9−x
x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)
x+−7x+14=10x+9+−x
(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)
−6x+14=9x+9
−6x+14=9x+9
Step 2: Subtract 9x from both sides.
−6x+14−9x=9x+9−9x
−15x+14=9
Step 3: Subtract 14 from both sides.
−15x+14−14=9−14
−15x=−5
Step 4: Divide both sides by -15.
−15x−15=−5−15
x=13
Answer:
x=13
Srurface area 1m 2m 1m
Answer:4
Step-by-step explanation: 1x2x1x2
Answer: it would be 2
Step-by-step explanation:
what are the solutions of the equation below
(x-2)(x+9)=0
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
what's the distance between the points (4,3) and (16,8)
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
===========================================
Work Shown:
The two given points are [tex](x_1,y_1) = (4,3)[/tex] and [tex](x_2,y_2) = (16,8)[/tex]
Use the distance formula
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(4-16)^2+(3-8)^2}\\\\d = \sqrt{(-12)^2+(-5)^2}\\\\d = \sqrt{144+25}\\\\d = \sqrt{169}\\\\d = 13\\\\[/tex]
Helpppp!! I don't understand this??????
At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other???????
Answer:
$3.77
Step-by-step explanation:
First, add all of the numbers together:
$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65
Next, divide that number by the number of numbers:
22.65/6=3.77
<3
If 10^2=100,
10^3=1000
10^4=10000,
what is 1000^2/3
[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]
How to factor y^3 +2y^2 + 2y + 1
Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
0 -1 -1 -1
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.
Answer:
The correct answer is:
The data are continuous because the data can take on any value in an interval. (C)
Step-by-step explanation:
Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete
Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.
What is the measure of JKL
Answer:
Did you insert a picture because I cant see one
PLEASE HELP I WILL GIVE YOU BRINLIST
Which table of values represents the equation Cost = Number of toppings x 2 + 3 *
Solve each inequality. p + 5 < 10 A. p < –15 B. p < 5 C. p < 15 D. p < –5
Answer:
B) p<5
Step-by-step explanation:
!!!BRAINY AND 10 PTS!!!
Answer:
Top left
Step-by-step explanation:
what point is on the graph of f(x) =6^x
Answer:
The point (1 | 6) is on the graph.
Step-by-step explanation:
Answer:
it is 1/6
Step-by-step explanation:
What is (7.8 x 10) • (1.0 x 10)
780 is the answer. Hope this helps :)
What value of p makes the equation true?
-3p + 1/8 = -1/4
Answer:
p = 1/8
Step-by-step explanation:
Hi there !
⁸⁾-3p + 1/8 = ²⁾- 1/4
- 24p + 1 = - 2
- 24p = - 2 - 1
- 24p = - 3 | (-)
24p = 3
p = 3⁽³/24
p = 1/8
Good luck !
A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2
Event Cost: 500+20x
If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.
A
$5.69≤x
B
$5.69≤x≤$12.33
C
$3.29≤x
D
$3.29≤x≤$21.29
Please help.
The value of the x should be more than or equal to 5.69. Then the correct option is A.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.
A school is planning a fundraiser with all profits going to charity.
Ticket Sales: 200x − 10x²
Event Cost: 500 + 20x
The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.
Event cost − Total sales ≥ Profit
(500 + 20x) − (200x − 10x²) ≥ 200
− 200x + 10x² + 500 + 20x − 200 ≥ 0
10x² + 180x − 700 ≥ 0
10x² − 180x + 700 ≥ 0
x² − 18x + 70 ≥ 0
On simplifying, we have
(x − 5.69) (x − 12.33) ≥ 0
x ≥ 5.69, 12.33
Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.
More about the inequality link is given below.
https://brainly.com/question/19491153
Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points
Answer:
The equations of the line are
y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B
y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y1=m(x-x1)[/tex] , where
m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]∵ The line passes through points (-4, -7) and (3, 2)
∴ x1 = -4 and y1 = -7
∴ x2 = 3 and y2 = 2
→ Use the rule of the slope above to find it
∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]
∴ The slope of the line is [tex]\frac{9}{7}[/tex]
→ Substitute the values of m and (x1, y1) in the form of the equation above
∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)
∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
∴ The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
→ Substitute the values of m and (x2, y2) in the form of the equation above
∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
∴ The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
→ Look at the answers to find the same equations
∴ Answers B and E have the same equations
The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.
Answer:
103 at most and 87 at least
Step-by-step explanation:
95-8=87 seeds
95+8=103 seeds
Answer with step-by-step explanation:
Max: 25 + 3 = 28
Min: 25 - 3 = 22
Hope this helped!
PLEASE HELP! WILL GIVE BRAINLIEST AND 30 POINTS!
What is the range of possible values for x?
The diagram is not to scale.
Answer in this format: a < b < c
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
Answer:
the input is the number or gallons aka b
the output is the balance in the account aka c
and the two points described are (5,442) and (13,226) aka c
Step-by-step explanation:
i did it on edge and got it right :)
Answer:
here the answer
Step-by-step explanation:
choose the correct congruence statement
Answer:
To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.
Step-by-step explanation:
PLEASE HELP ME If the mamba roller coaster at worlds of fun speeds up from 10mph to 78mph in 2s what is the acceleration?
TIMED TEST PLEASE HELP Find the distance between the points -5 and -3 on a number line.
Answer:
-2
Step-by-step explanation:
Answer:
(see below)
Step-by-step explanation:
You can also solve this algebraically:
–5 – (–3)
–5 + 3
–2
Since it can't be negative units between two points on a number line, you can multiply it by –1 to make it a positive number:
–2 (–1)
2 units
Or, you can use a number line. I have screenshotted a number line attached below for you.
Hopefully this helps!
what 3+6+9
answer 4 pointss
ayo the answer is 18.
Answer:
3+6+9
9+9= 18
Therefore 3+6+9=18
HELP HELP HELP PLEASE
Answer:
3/5 lmk if you need the work
Step-by-step explanation: