Answer:
2 ft per second
Explanation:
The rate of change can be calculated using the following equation:
\(Rate\text{ of change = }\frac{y_2-y_1}{x_2-x_1}\)Where (x1, y1) and (x2, y2) are the coordinates of two points in the graph.
So, if we replace (x1, y1) by (4, 10) and (x2, y2) by (5, 12), we get that the rate of change is equal to:
\(\text{Rate of Change = }\frac{12-10}{5-4}=\frac{2}{1}=2\)So, the rate of change is 2 ft per second.
How many more cherry pies have 606060 to 898989 cherries than 909090 to 119119119 cherries? 4 5 6 8 9 10 11 13 iqr helppppp please
I need help quick please
Answer:
right it down so i can answer it plz
Step-by-step explanation:
Answer:B,C and E
Step-by-step explanation:
Edgen 2023
1.
Tank A has a length, in feet, represented by 25x + 12 and a width, in feet, represented by 7x + 18. Write and simplify an expression used to determine the total amount of rubber stripping, in feet, needed for both rectangular tanks.
The value of the total amount of rubber stripping, in feet, needed for the rectangular tanks is 64x + 70.
How to calculate the perimeter?It should be noted that the perimeter of a rectangle is given as:
= 2(Length + Width)
= 2(25x + 12) + 2(7x + 18)
= 50x + 24 + 14x + 46
= 64x + 70
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What is the range of the function shown on the graph?
The range of the function on the graph is y > -6
Calculating the range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
In this case, it is -6 i.e. the point where it intersects with the y-axis
So, the range is y > -6
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Vanderbilt University has this data set: 305, 315, 285, 285, 290, 280, 300, 310, 310, 315, 305
The MEAN of this data set is
Answer:
300
Step-by-step explanation:
305
\(305 + 305 + 315 + 315 + 285 + 285 + 310 + 310 + 290 + 280 + 300 = 3300 \div 11\)
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
Five friends want to share 1,000
comic books equally. Can you use mental math to find how many
comic books each friend will get?
Answer:
each friend gets 200 books
Step-by-step explanation:
1,000÷5=200
What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answer:
See below
Step-by-step explanation:
Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.
Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.
what is 10 to the power of 5 X 10 to the power of 9?
Answer: 1e+14
Step-by-step explanation:
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=34 and EB=38, solve for EA. Round to the nearest tenth if necessary
The value of side EA is,
EA = 16.9
We have to given that;
Circle E with diameter CD and radius EA.
And, AB is tangent to E at A.
Here, AB = 34 and EB = 38
Hence, By using Pythagoras theorem we get;
AB² + AE² = EB²
34² + AE² = 38²
1156 + AE² = 1444
AE² = 1444 - 1156
AE² = 288
AE = √288
AE = 16.9
Thus, The value of side EA is,
EA = 16.9
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Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account. What is the net change in her bank account balance after each monthly payment? Complete the steps below to solve this problem and others like it.
Part B
Which rational number represents the number of months that Callie has to pay off the bill? What does the sign on the number mean?
Part C
Write an expression to represent the net change to Callie’s account balance each month.
Part D
Simplify the expression in part C to find the net change to Callie’s account balance each month.
Part E
After paying the car service center in full, Callie realizes that she should start saving money each month for her future. She decides to invest the same monthly amount that she was paying the service center in a retirement fund. If she invests in the retirement fund for one year, what will the net change in her account balance be during that time
Part F
What is the sign of the net change in part E? Why does the sign make sense in this situation?
Answer:
her monthly payments will be $104.12
Step-by-step explanation:
she will pay off the entire bill after 4 months
416.48 - 104.12n = 0
-104.12n = -416.48
n = 4
Answer:
part a)
ANSWER: The net change to Callie’s bank account is -$416.48. The negative sign indicates money leaving Callie’s account.
part b)
ANSWER: Callie has 4 months to pay off the bill. The rational number is +4. The sign is positive because it represents a quantity of something, in this case, months.
part c)
ANSWER: The amount of the bill, -$416.48, will be deducted from Callie’s account in equal amounts over 4 months. So, the expression representing the net change in her account balance each month is -416.48/4 .
part d)
ANSWER: -416.48 / 4= -$104.12
part e)
ANSWER: The monthly withdrawal from Callie’s account continues to be -$104.12. After 1 year (12 months), the net change to her account balance will be -$104.12 × 12 = -$1,249.44.
part f)
ANSWER: The net change is -$1,249.44. The sign is negative because it represents money leaving, or being deducted from, Callie’s bank account.
Please show work ThankYou very much 25 points to whoever does it
Answer: 3 answer
Step-by-step explanation:
A pet store has 6 cats. Here are their weights (in pounds).
6, 13, 9, 14, 5, 7
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth
Answer:
9
Step-by-step explanation:
6+13+9+14+5+7=54
54/6= 9
Answer:
the mean is 9
Step-by-step explanation:
add 6+13+9+14+5+7=54
and 54 divided by 4 equals=9
How to find a mean in any question
Count the number N of data points in your data set.
Sum up all of the data points in your data set (add them all together).
After adding them divided the sum added by the number of numbers
EX1:1,2,43,5,6-there are 5 numbers so you divided 5 by the sum
describe how to classify a polynomial as a monomial, a binomial , a trinomial, or none of these.
Answer:
A polynomial is an expression, and since mono means 1, monomial has 1 term in the expression, binomial has two, trinomial 3
The answer is:
⇨ belowWork/explanation:
Here's how we classify polynomials based on the number of terms:
monomial - has only one term
binomial - has two terms
trinomial - has three terms
polynomial - has four terms or more
Hence, these are the classifications.The table shows three unique, discrete functions.
x f(x) g(x) h(x)
-1
0
3
185
15
2
3
0
-25
-10-204
2
3
2
-3
2
3
4
5
6
Which statements can be used to compare the
characteristics of the functions? Select three options.
Of(x) has the greatest maximum.
h(x) has the greatest x-intercept.
g(x) has the smallest minimum value.
All three functions share the same domain.
All three functions share the same y-intercept.
All thre functions share the same y intercept
We can analyze the characteristics of the given functions based on the information provided in the table.
We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.
We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.
We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.
We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.
We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.
Therefore, the statements that can be used to compare the characteristics of the functions are:
h(x) has the smallest x-intercept.
g(x) has the smallest minimum value.
All three functions have different y-intercepts.
In a family with 77 children, excluding multiple births, what is the probability of having exactly 22 girls
Answer:
22/77
Step-by-step explanation:
just put the probable amount over the total amount for these
Find an equation of a line in a point-slope form passing through the points (2,4) and (3,6) . Then write the answer in a slope-intercept form. Then write the answer in standard form. Graph the line on cartesian plane and upload the image. Show your work (the steps)!
The equation of the line in point-slope form, slope-intercept form and standard form is y - 4 = 2( x - 2 ), y = 2x and 2x - y = 0 respectively.
What is the equation of line passing through the points (2,4) and (3,6)?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given that the line passes through points (2,4) and (3,6).
First, we determine the slope:
\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{6 - 4}{3-2} \\\\Slope\ m = \frac{2}{1} \\\\Slope\ m = 2\)
Now, plug the slope m = 2 and point (2,4) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
y - 4 = 2( x - 2 )
Solve in slope-intercept form:
y - 4 = 2( x - 2 )
y - 4 = 2x - 4
y = 2x - 4 + 4
y = 2x
Solve in standard form:
Ax + Bx = C
y - y = 2x - y
0 = 2x - y
Reorder:
2x - y = 0
Therefore, the standard form is 2x - y = 0.
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A box is filled with 10 bluecards, 2 red cards, and 2 yellow cards. A card is chosen at random from the box. What is the probability that the card is not red?
Write your answer as a fraction in simplest form.
Answer:
6/7 is your answer
Step-by-step explanation:
10+2+2 is 14 and that's your total number of cards. then you add the blue cards and the yellow cards to get your answer and reduce.
What is the justification for the step taken from line 2 to line 3?
3x+9-7X=X+10+X
-4x+9=2x+10
-6x+9= 10
-6x=1
1
X=-
6
W
O the subtraction property of equality
O the multiplication property of equality
O combining like terms on one side of the equation
O the distributive property
Answer:
A. the subtraction property of equality
Step-by-step explanation:
take the quiz
The justification for the step taken from line 2 to line 3 is,
⇒ The subtraction property of equality.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Steps to simplify the expression are,
3x + 9 - 7x = x + 10 + x
-4x + 9 = 2x + 10
-6x + 9 = 10
-6x = 1
x = - 1/6
Hence, Steps on line 2 and 3 are,
Step 2;
-4x + 9 = 2x + 10
Subtract 2x both side, we get;
Step 3;
- 4x + 9 - 2x = 2x + 10 - 2x
-6x + 9 = 10
Thus, The justification for the step taken from line 2 to line 3 is,
⇒ The subtraction property of equality.
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Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
I need the mean, medium, and the mode for these numbers [4,10,11,15,16,16,18,19]
Hello here would be your answers:
mean: 13.6
mediun: 15.5
mode: 16
remember it like this
Mean is the average
Mode is the most often number
Range is when you subtract the smallest number from the largest number
Medium is the middle number when you line it up from the greatest to the least.
hope this helps!
help please I don't understand
Answer:
12 degrees hopefully its right it might be wrong tho if its im sorry at least i tried to help
Step-by-step explanation:
Guys I need help please actually answer and explain! Will mark brainlest!
I need the answer for part b and c of number 23.
Erika's toy is valued at €450. Its value increased by 10% then decreases by 10% the year after. What is the value of Erika's toy after these two changes?
Answer:
€445.50-------------------------
Initial value of the toy is €450.
After 10% increase the value is:
€450 + 10% = €450*1.1 = €495After further 10% decrease the value becomes:
€495 - 10% = €495*0.9 = €445.50The final value of the toy is €445.50.
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
can someone solve for x please
Answer:
x=-4
Step-by-step explanation:
The two lines are parallel, so the two angles, 45 and x+49 are equal too
Lets make the equation
x+49 = 45
x = 45-49
x = -4
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A laptop is bought for $1380 VAT inclusive. If VAT was charged at 15%, what
is the price of the laptop exclusive of VAT?
Answer:
vat=15%
selling price with vat=$1380
selling price with out vat=?
we have
selling price with vat=$1380
selling price with out vat+vat%of selling price with out vat =$1380
selling price with out vat(1+15/100)=$1380
selling price with out vat=$1380/1.15=$1200
In 1950, a U.S. population
model
was y = 151. (1.013)^t-1950 million
people, where t is the year. What did
the model predict the U.S. population
would be in the year 2000?
In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.
What is population model ?Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).
The model was given as y=151x(1.013)^t-1950
where the future time t = 2000
Then we can substitute the given year 2000 as the value of 't'
then we will have y=[151x(1.013)^(2000-1950)] = 288 million
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A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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a summer soccer cam ordered a total of 84 soccer balls and t-shirts for the season. Soccer balls cost $25 each and t-shirts cost $9.50 each. if they paid $1,046 total for the purchase, how many of each item was ordered?
The Number of Soccer Balls is 16 and the Number of T-Shirts is 68
What is Linear Equation in Two Variables?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let,
Number of Soccer Balls = x
Number of T-Shirts = y
Equation 1:
x + y = 84 -----------(i)
Equation 2:
25x + 9.5y = 1046 ----------(ii)
Multiplying Equation 1 by 25
25x + 25y = 2100 ---------(iii)
Substracting Equation2 from Equation 1
15.5y = 1054
y = 68
So, x = 16
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