The answer to your problem is -6
The fastest recorded Hawaiian lava flow moved at an average speed of 6 miles per hour. The function y=6x describes the distance y the lava moved on average in x hours. Graph the function. Use the graph to estimate how many miles is lava moved after 4.5 hours.
Okay for this problem you can multiply 6 by 4.5 aand get 27 as your answer.
So 6×4.5=27 miles in 4.5 hours
We need to graph a function and use that graph to estimate how many miles lava moves in 4.5 hours.
The graph and estimations can be seen at the end of the answer.
Let's see how to graph this:
We know that the function is y= 6*x
What we need to do, is find two points in the that belong to the line, to get that, we need to evaluate the function in two points:
if x = 0:
y = 6*0 = 0
Then we have the point (0, 0)
if x = 1:
y = 6*1 = 6
Then we have the point (1, 6)
Now to graph the function, we just need to find these two points and draw a line that connects them.
A graph is shown at the end of the answer.
To estimate the distance that the lava has moved in 4.5 hours, we need to find the value 4.5 in the x-axis, then we draw a vertical line that passes through there.
In the point where this vertical line intersects the graph, we draw a horizontal line.
That horizontal line will intersect the y-axis in the correspondent y-value to x = 4.5
An example of this can be seen in the image below, my estimation is that the lava has moved something near 26 miles.
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What is -45 degrees 5 times colder
do -45 times 5, and you will get -225
tyronne has $60,his sister has $135 ,they get $5 each week ,tyronne saves his money ,while his sister spends hers ,they get additional $10 each week ,in how many weeks will they have the same amount?
Answer:
In 5 weeks they will have the same amount.
Step-by-step explanation:
1. You have that Tyronne has $60, she gets $5 each week and also gets an additional $10 each week. She saves her money. Therefore, you can write the following expression:
[tex]60+5x+10x\\60+15x[/tex]
Where [tex]x[/tex] is the number of weeks.
2. Her sister has $135, she gets $5 each week and also gets an additional $10 each week, but she spends this money. Therefore:
[tex]135+5x+10x-5x-10x\\135[/tex]
3. If this amounts of money will be equal, you have:
[tex]60+15x=135\\15x=75\\x=5[/tex]
4. Therefore, in 5 weeks they will have the same amount.
idk if this is right.. but im gonna ask it anyway. whats 4÷202?
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 2x^2 + x − 3 and g(x) = x + 2. Find (f • g)(x).
The product of the functions f(x) and g(x), (f • g)(x), is found by multiplying the two functions together. The resulting function is 2x^3 + 5x^2 - x - 6.
Explanation:The question is asking for the product of functions f(x) and g(x), denoted as (f • g)(x). To find (f • g)(x), we simply have to multiply function f(x), which is 2x^2 + x - 3, and function g(x), which is x + 2, together.
Let's do it: (2x^2 + x - 3) * (x + 2). Multiplying these two functions out, we get: 2x^3 + 4x^2 + x^2 + 2x - 3x - 6. Simplifying these, we arrive at 2x^3 + 5x^2 - x - 6.
So, (f • g)(x) = 2x^3 + 5x^2 - x - 6.
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You need at least $635 to go on a trip to Washington, DC. You already have $75 saved for the trip. You decide to save an additional $65 per week. Which inequality shows the number of weeks, w, you need to save to be able to go on the trip?
75+65w≥635
This is the inequality because you already saved 75 so you just add it to the amount you save after a certain amount of weeks. It needs to be more than 635 for the the trip.
a recipe for one batch of cookies calls 1 1/2 cups of flour how many cups of flour are needed for 3 batches
How much wood $400 be worth after 11 years if it were invested at 4% interest compounded monthly? (Use the formula below and round your answer to the nearest cent.) A(t)=P(1+r/n)^nt
Here we are given the formula for compound interest as :
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Here
A= Amount
P=Principal
r=rate of interest
n=number of times interest is compounded per year
t=time(years)
So we are given
P= $400
r=4% or 0.04
t= 11 years
n= 12
Plugging these values in the formula for compound interest we have,
[tex]A=400(1+\frac{0.04}{12})^{12*11}[/tex]
A= $620.6286
Amount = $620.6
Answer: The final amount after 11 years will be $620.6 .
To find the value of $400 invested at 4% interest compounded monthly for 11 years, use the compound interest formula A(t) = P(1 + r/n)^(nt) and solve for A(t). After calculations, the amount comes to approximately $660.44 when rounded to the nearest cent.
To calculate the future value of $400 invested at 4% interest compounded monthly over 11 years, we can use the compound interest formula provided: A(t) = P(1 + r/n)^(nt). In this formula, P represents the principal amount ($400), r is the annual interest rate (0.04), n is the number of times interest is compounded per year (12 for monthly compounding), t is the number of years the money is invested (11 years), and A(t) is the amount of money accumulated after t years, including interest.
Using the formula:
Calculate the monthly interest rate: r/n = 0.04/12 = 0.003333...Determine the total number of compounding periods: nt = 12 * 11 = 132.Substitute the values into the formula: A(t) = $400(1 + 0.003333...)¹³².Calculate A(t) to find the future value of the investment.The calculation is as follows:
A(t) = $400(1 + 0.003333...)¹³²
A(t) = $400(1.003333...)¹³²
A(t) = $400(1.6511)
A(t) = $660.44
After rounding to the nearest cent, $400 invested at 4% interest compounded monthly for 11 years would be worth approximately $660.44.
Stacie is a resident at the medical facility where you work. You are asked to chart the amount of solid food that she consumes. For the noon meal, today she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 of a 2-ounce serving of green beans. How many ounces of solid food did Stacie consume? Round final answer to two decimal places.
Remark
The general formula is fraction * solid food = amount
Total amount = 1/2 * 3 oz + 3/4 * 3 oz + 1/3 * 2 oz
Total amount = 3/2 oz + (9/4) oz + 2/3 oz
The lowest common denominator of 2 4 and 3 = 12
Total amount = 3*6/2*6 + 9*3/4*3 + 2*4/3*4
Total amount = 18/12 + 27/12 + 8/12
Total amount = 53/12 = 4 5/12 <<< Answer oz of food.
4.42 oz of food <<<< Answer
What is the justification for each step in the solution of the equation?
1.) 5x-4/2 = 2x-1
2.) 5x-4 = 2(2x-1)
3.) 5x-4 = 4x - 2
4.) 5x = 4x+2
5.) x = 2
Step 1 : (5x-4)/2 = 2x-1 [Given]
Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1) [Multiplicative Property of Equality i.e. by multiplying both sides of the equation by same number]
Step 3 : (5x-4) = 4x-2 [By Distributive Property]
Step 4 : 5x - 4 + 4 = 4x - 2 + 4 [By addition property of equality i.e. by adding both sides of the equation by same number]
⇒ 5x = 4x + 2
Step 5 : 5x - 4x = 4x + 2 - 4x [By subtraction property of equality i.e. by subtracting both sides of the equation by same number]
⇒ x = 2
Answer:
Step 1 : (5x-4)/2 = 2x-1 {Given}
__________________________________________________________
Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1) {Multiplicative Property}
__________________________________________________________
Step 3 : (5x-4) = 4x-2 {Distributive Property}
__________________________________________________________
Step 4 : 5x - 4 + 4 = 4x - 2 + 4 {Addition property}
5x = 4x + 2
__________________________________________________________
Step 5 : 5x - 4x = 4x + 2 - 4x {Subtraction property}
x = 2
Write an expression where you multiply a decimal number by 100. Which direction and how many places does the decimal move?
PLEASE HELP, GIVING 20 POINTS
.57 times 100= 57. you moe the decimal 2 places to the right
Jacob drew a regression line for this paired data set
His line passed through (2,10) and (7,18)
What is the equation of Jacobs regression line?
A)y=6.8x+1.6
B)y=1.375x+4.25
C)y=0.625x-4.25
D)y=1.6+6.8
Answer: [tex]y=1.6x+6.8[/tex]
Step-by-step explanation:
1. The equation of a regression line has the following form:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
2. You need to calculate the slope with the points given in the exercise:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
3. Substitute values:
[tex]m=\frac{18-10}{7-2}[/tex]
[tex]m=\frac{8}{5}=1.6[/tex]
4. Now, you must calculate [tex]b[/tex]:
-Substitute the value of the slope into the equation above.
- Take one of the given points and substitute them into the equation.
Then:
[tex]y=mx+b\\10=(1.6)(2)+b\\b=10-3.2\\b=6.8[/tex]
5. Therefore, the equation is:
[tex]y=1.6x+6.8[/tex]
Which of the following situations represents a linear relationship?
A.
A savings account gains 3 percent in interest annually.
B.
The enrollment at a university has doubled every 5 years since 1980.
C.
An employee is paid $12 for each hour worked.
D.
A company is increasing the volume of a cylindrical container by increasing its radius as the height remains fixed.
C: an employ is paid $12 for each hour worked
A store hands out 900 reward cards. Customers scan their cards in the store to find out what reward they receive. The probability that a customer receives a $25 gift card is 112. How many customers receive a $25 gift card?
Answer: 75 customers
Step-by-step explanation:
hey! so for this question you have to cross multiply and divide.
1/12 = 900/1 so 1 times 900 is 900 then divide that by 12 which is 75.
Hope this helps!!
marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingridients in the recipe proportionally. what is the total number of servings the modified recipe will make?
The modified recipe will make a total of 10 servings.
what is the total number of servings the modified recipe will make?Since Marcus is using 5 eggs in the modified recipe instead of 3, we can calculate the ratio as follows:
Ratio = (Number of eggs in modified recipe) / (Number of eggs in original recipe)
Ratio = 5 eggs / 3 eggs
Next, we need to apply this ratio to the number of servings in the original recipe. Since all other ingredients are being increased proportionally, the number of servings will change accordingly.
Total Servings in Modified Recipe = (Number of servings in original recipe) * Ratio
Given that the original recipe makes 6 servings, we can substitute the values:
Total Servings in Modified Recipe = 6 servings * (5 eggs / 3 eggs)
Total Servings in Modified Recipe = 6 * (5/3)
Total Servings in Modified Recipe = 10
Therefore, the modified recipe will make a total of 10 servings.
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Solve for m.
3m+7/2=−2m+5/2
A.-1
B.-1/5
C.6
D.6/5
To solve this we must isolate x which involves having the variables on one side and the numbers on the other.
First add 2m to both sides
3m+7/2=-2m+5/2
5m+7/2=5/2
Then we subtract 7/2 from both sides
5m+7/2=5/2
5m=-1
Finally we divide both sides by 5
5m/5=-1/5
Our final answer is -1/5
So the answer is B
Hope this helps!
the temperature changed from -7 degrees f at 6:00 am to 7 degrees f at noon write an expression
Please help!!
Ricardo is considering the following jobs as summer employment.
If he wants to earn $1,000 this summer working the least amount of hours, which job should he choose?
A. babysitting
B. yard work
C. lifeguarding
D. camp counselor
Answer:
I would say you lifeGuarding
Step-by-step explanation:
Answer:
Its lifegaurding doing the quiz rn
Step-by-step explanation:
A^3+4a^2+4a factor completely
So firstly, factor out the GCF, or greatest common factor. To find the GCF, list the factors of every term and the greatest one they all share is their GCF. In this case, the GCF is "a":
[tex]a(a^2+4a+4)[/tex]
Next, we are going to apply the square of binomials rule in this situation, which is [tex](x+y)(x+y)=x^2+2xy+y^2[/tex] In this case:
[tex]a^2+4a+4=(a+2)(a+2)\\\\a(a+2)(a+2)[/tex]
Your final answer is [tex]a(a+2)(a+2)[/tex]
4 times the sum of 12 and 26
It would be 4(12 + 6). The answer to this is 7.
Hope that helps :)
A hybrid car gets 45 miles per gallon. At that rate, how much gas would it take to travel across country, a distance of about 2600 miles
To travel 2600 miles in a hybrid car with a fuel efficiency of 45 mpg, it would require approximately 57.78 gallons of gas.
To calculate the amount of gas needed for a hybrid car to travel 2600 miles with a fuel efficiency of 45 miles per gallon (mpg), you can use the formula:
Divide the total distance by the fuel efficiency: 2600 miles \/ 45 mpg.This gives the total gallons of gas needed: ~57.78 gallons.So, it would take approximately 57.78 gallons of gas to travel across the country in a hybrid car with a fuel efficiency of 45 mpg.
graph 9x+12y less than or equal to 925
most likely it would be less than
10 times 5+4 to the 2nd power /4
Equals to 54...
Hope this helps....
Which inverse operation would be used to verify the following equation?
102 ÷ 3 = 34
For this case we have:
The division given by:
102 ÷ 3 = 34
The dividend is 102 The divisor is 3 The quotient is 34To verify its result we use multiplication as a reverse operation, that is:
We multiply the quotient by the divisor and its result must be the dividend.
So:
[tex](34) (3) = 102\\[/tex]
Answer:
Multiplication, [tex](34) (3) = 102[/tex]
which one is this answer if you are good a math
[tex]a=\dfrac{2d}{t^2}\ \ \ \ \ |\text{solve for t} \\ \\\\\dfrac{2d}{t^2}=\dfrac{a}{1}\ \ \ \ \ |\text{cross multiply}\\\\at^2=2d\ \ \ \ \ |:a\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}\\\\\text{We have}\\ \\a=2\dfrac{m}{s^2},\ d=10m\\\\\text{substitute}\\\\t=\sqrt{\dfrac{2\cdot10m}{2\frac{m}{s^2}}}=\sqrt{10m\cdot\dfrac{s^2}{m}}=\sqrt{10s^2}=\sqrt{10}\ s\\\\Answer:\ C.\ \sqrt{10}\ seconds[/tex]
GEOMETRY HELP! What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x/2+3 ?
A perpendicular line has the negative reciprocal slope of the given line.
The slope of the given line is x/2, which can be written as 1/2x
The negative reciprocal of 1/2 would be -2
The equation for a line is written as y = mx +b, where m is the slope and b is the y-intercept.
We already have the slope ( -2)
So we can solve for b by replacing y x and m with the slope and the point given:
8 = -2(1) +b
8 = -2 + b
b = 10
The equation would be y = -2x + 10
Can someone please help me
1. Express the ratio in three different ways (grey and white)
-[tex]\frac{2}{5}[/tex]
-[tex]2[/tex] to [tex]5[/tex]
-[tex]2:5[/tex]
2. *(Integer)* *(Opposite)* *(Absolute Value)*
3 -3 3
-4 4 4
8 -8 8
3. Write an expression to represent:
- "A number n divided by 6" = [tex]\frac{n}{6}[/tex] or [tex]n[/tex]÷[tex]6[/tex]
4. Solve. Show your work.
- [tex]27.9+212.5=240.4[/tex]
- [tex]175.5-12.7=162.8[/tex]
5. Shade the blocks
- [tex]975[/tex]÷[tex]6=162.5[/tex]
- [tex]478[/tex]·[tex]38=18,164[/tex]
1. 4 shirt for 32.00
- Rate: [tex]x[/tex]·[tex]32[/tex] This rule only happens if there are 4 shirts.
- Unit Rate: [tex]\frac{32}{4}=8[/tex] It cost $8 for every shirt is bought
2. Write every form from illustration.
- Fraction: [tex]\frac{30}{100}=\frac{3}{10}[/tex]
- Decimal: [tex]0.3[/tex]
- Ratio: [tex]30:100[/tex] or [tex]3:10[/tex]
- Percentage: [tex]30[/tex]%
3. What is 50% of 80?
- Your answer is correct
4. Ken grew [tex]\frac{4}{5}[/tex] of an inch last year. Sang grew [tex]\frac{3}{8}[/tex] of an inch. Who grew more and by how much?
- Your answer is correct
5. Complete the table and then graph the coordinates.
- Attachment for this question
round to the nearest thousandth 1.2983
The nearest thousandth is 1.298. You get this because you don't round the 3 up, it is too small. If it was 5 or higher, then you would round up. Is this helpful? I hope it is.
The given decimal number rounded to the nearest thousandth is 1.298.
What is the rounding off numbers?Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
The given decimal number is 1.2983.
To the nearest thousandth:
In the place ten thousandth, number 3 is there
Here, 1.298
Therefore, the given decimal number rounded to the nearest thousandth is 1.298.
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What are the domain and range of the function f(x)=5^x-3 +1
Final answer:
The domain of the function f(x)=5ˣ-3+1 is all real numbers (-∞, +∞), and the range is all real numbers greater than -2 (-2, +∞).
Explanation:
For the given function f(x) = 5ˣ - 3 + 1, the domain and range can be determined by understanding the behavior of the function's formula. The domain refers to all possible x-values that can be input into the function, and the range refers to all possible y-values that the function can output.
The domain of any exponential function like 5ˣ is all real numbers because you can raise 5 to any power, whether it's positive, negative, or zero. Therefore, the domain of f(x) is (-∞, +∞).
To find the range of the function, we look at the output values. Since exponential functions grow without bound as x increases and approach zero as x decreases (but never actually reaches zero), 5^x will do the same. When we subtract 3 and then add 1, we're simply moving the graph down by 2 units. Thus, where the original function 5ˣ would never be less than 0, after the transformation, the function will never be less than -2. So, the range of f(x) is (-2, +∞).
−3 1/3 ÷ 9 pllllllllllllllllllllllllllllllllllllllllllllllllll
[tex]-\frac{10}{27}[/tex] hope this helps :)