Answer:
im confused as hell so i cant help u :(
Step-by-step explanation:
I can do 40 push ups in 5 minutes. If he worked out at the same rate, how many push ups could I complete in one hour?
Answer:
480 push-ups
Step-by-step explanation:
40 times 12 = 480
or
80 times 6 =480
Number of pushups that can be completed in 5 minutes = 40
Number of pushups that can be completed in 1 minute :-
\( = \frac{40}{5} \)
\( = 8\)
So , 8 pushups can be completed in one minute .
1 hour = 60 minutes
Number of pushups that can be completed in 1 hour :-
= 8 × 60
= 480 pushups .
Therefore , I can complete 480 pushups in one hour .
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+106t+206.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea-level does the rocket get at its peak?
The rocket peaks at
meters above sea-level.
If the function of height in time is h(t)=-4.9\(t^{2}\)+106t+206,then the rocket will splash down into the ocean after 23.43 seconds and the rocket will get its peak after 10.82 seconds at a height of 779.26524 meters above the sea level.
Given that the function of height in time is h(t)=-4.9\(t^{2}\)+106t+206.
We are required to find the time after which the rocket will splash down into the ocean and the time after which the ocean will get its peak and the height of the rocket.
The rocket will splash down when the height of the rocket is 0.
-4.9\(t^{2}\)+106t+206=0
4.9\(t^{2}\)-106t-206=0
t={106±\(\sqrt{(106)^{2} -4*4.9*(-206)}\)}/2*4.9
t=(106±\(\sqrt{15273.6}\))/9.8
We have to ignore the negative sign because the time is always shown in positive signs.
t=(106+123.59)/9.8
t=229.59/9.8
t=23.43 seconds
Rocket will be at its peak when the slope of the equation is 0.
\(h^{I}\)(t)=-9.8t+106
-9.8t+106=0
-9.8t=-106
t=-106/-9.8
t=10.82 seconds
To find the height we need to use t=10.82 in the equation.
h(10.82)=\(-4.9*(10.82)^{2} +106*10.82+206\)
=-573.65476+1353.92
=779.26524 meters.
Hence if the function of height in time is h(t)=-4.9\(t^{2}\)+106t+206,then the rocket will splash down into the ocean after 23.43 seconds and the rocket will get its peak after 10.82 seconds at a height of 779.26524 meters above the sea level.
Learn more about function at https://brainly.com/question/17043948
#SPJ9
Find the area of the parallelogram shown below.
Base= 10m
height=8m
Area of parallelogram = Base × Height
= 10 × 8 = 80m
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
Read more on inequality here: brainly.com/question/29115398
#SPJ1
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
learn more about word problem from
https://brainly.com/question/21405634
#SPJ1
Identify the range of the graphed function
Answer: The first Option.
Step-by-step explanation:
y is greater than -1 and y is less than or equal to 4.
The range of the function will be Range = {y | 0 < x ≤ 6}. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The domain means all the possible values of x and the range means all the possible values of y.
The domain of the function is (-1, 4] and the range of the function will be
Range = {y | 0 < x ≤ 6}
Then the correct option is C.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Write y = 12x + 24 in standard form.
Answer:
12x-y= -24
Step-by-step explanation:
plz mark me brainliest
The equation y=195(1.10)x can be used to represent growth in the number of Salad Supreme restaurants since 2005. Which is the most reasonable conclusion based on this information? A. Salad Supreme had 110 restaurants in 2005. B. Salad Supreme is increasing the number of restaurants by 10% each year. C. Salad Supreme is increasing the number of restaurants by 195 each year. D. Salad Supreme is increasing the number of restaurants by 110% each year.
The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B
How to determine the most reasonable conclusionBased on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:
A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.
B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.
C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.
D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.
Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.
Learn more about equation at https://brainly.com/question/29174899
#SPJ1
Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options. 5(x2 + 4x + 4) = –7 + 20 x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot 5(x2 + 4x) = 7 5(x2 + 4x + 4) = 7 + 20 5(x2 + 4x) = –7
The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7
How to use the completing the square method?We should know that in completing the square method both sides of the equation are made perfect squares.
The given equation is 5x²+20x-7=0
Solving this equation by completing the square method we have
5(x²+4x+4)=-7
This means that (x+2)=±√27/5
Simplifying further we have
5(x²+4x)=7
Then expanding to make ²HS a perfect square we have
5(x²+4x+4)=7+20
This means that 5(x²+4x)=-7
Therefore the step he could use is 5(x²+4x)=-7\
Learn more about completing the square on https://brainly.com/question/4822356
#SPJ1
Evaluate the expression: 2 ⋅ 6^2 *
Answer:
72
Step-by-step explanation:
First square 6.
6^2=36
Then multiply 26 by 2.
2*36=72
Please help.
You will get brainliest.
Answer:
a
Step-by-step explanation:
I need help, if is right I mark you as brainliest.
A. He made a division error.
B. He combined the variable terms incorrectly.
C. He combined the constants incorrectly.
D. He distributed -5 incorrectly.
Answer:
D. He distributed -5 incorrectly.
Step-by-step explanation:
Last option is the correct answer.
Answer:
Parker: D. He distributed -5 incorrectly.
Step-by-step explanation:
The difference of two numbers is 14.Twice the smaller is 6 more than the larger.Find the numbers.
The equation for line s can be written as y+9=–9(x–8). Perpendicular to line s is line t, which passes through the point (9,9). What is the equation of line t?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answer:
Line t: y = 1/9x + 8
Step-by-step explanation:
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The formula for finding the slope the line perpendicular to line s is:
\(m_{2}=-\frac{1}{m_{1} }\), where m2 is the slope of the line we don't know (in this case, line t) and m1 is the slope of the line we're given (in this case, line s).
Currently line s is in point-slope form or
\((y-y_{1})=m(x-x_{1})\). Since m is the slope, we know that the slope of line s is -9.
By plugging in -9 for m1 in our equation, we have:
\(m_{2}=-\frac{1}{-9}\\ m_{2}=-\frac{1}{9}\)
Since we know -1/9 is the slope of line t, we can plug this in for m and (9,9) for x and y in the slope-intercept equation to find b:
\(9=1/9(9)+b\\9=1+b\\8=b\)
Thus, the equation of line t in slope intercept form is y = 1/9x + 8
The measure of one angle in a triangle is 40 degrees. The other two angles are congruent to each other. What if the measure of each congruent angle?
Answer:
"If one angle is equal to 40 degrees and the other two angles are equal, what is the number of degrees in each angle? A right angle is 90°, one angle is 40°, 90° - 40° = 50°. So the remaining two angles have a total measurement of 50°. If these two angles are equal, then each of the remaining angles are 50°/2, or 25°."
Step-by-step explanation:
Excerpt from Textbook :)
A bag contains 12 hair bows: 5 red, 4 white and 3 blue. Jo Jo
reaches into the bag and randomly pulls out two bows without
replacement. What is the probability that those two bows are the
same color? Express your answer as a common fraction.
Answer:
Step-by-step explanation:
The probability that two bows are the same color is 19 /66.
What is Probability?The probability is defined as the likeliness of an event ot happen.
A bag contains total 12 hair bows..
The number of red bows is 5
The number of white bows is 4.
The number of blue bows is 3.
The ways of drawing two bows from 12 is ¹²C₂ = 66 ways
The ways in which 2 same color bows will be drawn is,
Either 2 red or 2 white or 2 blue
⁵C₂ + ⁴C₂ + ³C₂ = 10 + 6 + 3 = 19
The probability that those two bows are the same color is given by
= 19 /66
To know more about Probability
https://brainly.com/question/14210034
#SPJ5
are the triangles congruent. if they are state how they are congruent.
Answer:
Step-by-step explanation:
Yes, the triangles are congruent.
SSS
Answer:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
What is the measure of angle O in parallelogram LMNO?
Answer:
O=74
Step-by-step explanation:
L=N
180-106=74
M=O
Which of the following is equivalent to 5/20 ? *
Mark only one oval.
2/10
10/30
5/10
1/4
Comparing Relationships with Tables1. Decide whether each table could represent a proportional relationship.If the relationship could be proportional, what would the constant ofproportionality be?a. How loud a sound is depending on how farDistance toaway you are.Listener (ft)Sound Level(dB)85791020407367Costb. The cost of fountain drinks at Hot Dog Hut.Volume(fluid ounces)($)$1.4920$1.59$1.8930
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx
where
k is the constant of proportionality
Verify each table
table a
Let
x ----> distance
y ----> sound level
For each ordered pair calculate the value of k
k=y/x
so
(5,85) -----> k=85/5=17
(10,79) ----> k=79/10=7.9
the values of k are differents
that means
the table nor represent a proportional relationship
table b
let
x ----> volume
y ----> cost
k=y/x
(16,1.49) ----> k=1.49/16=0.093125
(20,1.59) ----> k=1.59/20=0.0795
the values of k are differents
that means
the table nor represent a proportional relationship
A restaurant used 8.4 ounces of cheese to make 4 slices of pizza. If each slice had the same amount of cheese, how much cheese was on each slice?
Is this question correct? I know the 96 part is but i'm not sure about part A
The gradient of the tangent of the curve y=2x^3 + ax^2 - x + 3 at the point x=1 is 3. Find the value of a.
Hello!
\(\large\boxed{a = -1}\)
y = 2x³ + ax² - x + 3
Find the derivative using the power rule:
y' = 6x² + 2ax - 1
Substitute in the given slope and x value to solve for a:
3 = 6(1)² + 2(1)a - 1
3 = 6 + 2a - 1
4 = 6 + 2a
-2 = 2a
a = -1
Answer:
a = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Calculus
The definition of a derivative is the slope of the tangent line.
The derivative of a constant is equal to 0.
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
y = 2x³ + ax² - x + 3
y'(1) = 3
Step 2: Differentiate
Basic Power Rule: y' = 3 · 2x³⁻¹ + 2 · ax²⁻¹ - 1 · x¹⁻¹ + 0Simplify: y' = 6x² + 2ax - 1Step 3: Solve for a
Substitute: 3 = 6(1)² + 2a(1) - 1Exponents: 3 = 6(1) + 2a(1) - 1Multiply: 3 = 6 + 2a - 1Combine like terms: 3 = 5 + 2aIsolate a term: -2 = 2aIsolate a: -1 = aRewrite: a = -1What are the solutions to the equation 3x^2-45x=0
Answer: 0 and 15
Step-by-step explanation:
you can factor the equation to get
3x(x-15)=0
3(0)((0)-15)=0 works
3(15)((15)-15)=0 works
I have a canker sore. What are some things that can help it.
(3×10 – 4)(2×1010) whats the scientific notion
The result of the multiplication in scientific notation is given by:
\(6 \times 10^{6}\)
What is scientific notation?A number in scientific notation is given by:
\(a \times 10^b\)
With the base being \(a \in [1, 10)\).
When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.
For this problem, the numbers are given by:
\(3 \times 10^{-4}, 2 \times 10^{10}\)
The result of the multiplication is given by:
\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)
The result of the multiplication in scientific notation is given by:
\(6 \times 10^{6}\)
More can be learned about scientific notation at https://brainly.com/question/16394306
#SPJ1
simplify 9/14divided7/10
Answer:
45/49
Step-by-step explanation:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
9/14 * 10/7 = 90/98
divide the numerator and the denominator by 2.
90 * 2 = 45
98 * 2 = 49
45/49
1.
(03.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Answer:
sept one
Step-by-step explanation:
please answer both for 50 points
Step-by-step explanation:
This question can't be answered......i
pic is not cleared2 divide by 3/7 help!!!!!!!!!!!
2 on division by 3/7 yields 14/3.
For the division of two fractions, we need to multiply the first fraction with the reciprocal of the second. Reciprocal of a fraction means interchanging the numerator and denominator ie, the reciprocal of a is 1/a, the reciprocal of p/q = q/p, and so on.
For example, if a/b and c/d are the fractions the a/b ÷ c/d = a/b x d/c =ad/bc.
Implementing the same method to solve this question,
We have 2/1 = 2 as the first and 3/7 as the second fraction. Thus,
2 ÷3/7 =2 x 7/3 = 14/3. So 14/3 is the answer.
For further reading on fractions refer to,
brainly.com/question/8482939