Answer:
4.5
Step-by-step explanation:
Evaluate −f(a)
f(x)=−5x²+2x−1
A wooden board is 1.848 meters long. What is the value of the 4 in the number? Write your answer as a decimal and as a fraction.
Mr. Brown needs 2 1/2 meters of materials to make a dress. How many similar dresses can be made from 35 meters of material?
The quotient of two numbers subtracted from 20
Ricardo is treating his employees and makes the following purchases at the store: 2 packages of bagels at $3.49 each 2 containers of cream cheese at $2.89 each 3 dozen doughnuts at $5.39 each 4 bottles of juice at $3.49 each Ricardo has a business account which saves him 5% on all purchases at this store. The discount is applied before tax. He is charged sales tax of 7%. If Ricardo paid $45.89, then he _____ for his purchase. a. did not pay enough b. paid the correct amount c. paid $2.29 too much d. paid $5.14 too much
Answer:
Ricardo paid $2.29 too much
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
To begin answering this question we need to calculate the total before applying anything. We calculate this by adding up all the amounts of each item purchased. Like so,
[tex](2*3.49)+(2*2.89)+(3*5.39)+(4*3.49) = Total[/tex]
[tex]6.98+5.78+16.17+13.96 = Total[/tex]
[tex] 42.89= Total[/tex]
Now that we have the total we can apply the 5% discount to this total.
[tex]42.89 * (1-0.05) = 40.75[/tex] ... rounded up
Finally we can apply the 7% sales tax to this purchase to calculate the final price that Ricardo should have paid.
[tex]40.75*(1+0.07) = 43.58[/tex] ... rounded up
As we can see Ricardo paid $2.29 too much
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
The function d(x) = 1375 − 110x represents the distance (in miles) a high-speed
train is from its destination after x hours. (Section 3.3)
a. How far is the train from its destination after 8 hours?
b. How long does the train travel before reaching its destination?
If the function d(x) = 1375 − 110x represents the distance (in miles) a high-speed train is from its destination after x hours:
a) The train is 495 miles from its destination after 8 hours
b) It will take the train 12.5 hours to travel before reaching its destination
The given function is:
d(x) = 1375 - 110x
Where d(x) is the distance (in miles) a high-speed train is from its destination after x hours.
a) How far is the train from its destination after 8 hours?
To find how far the train is from its destination after 8 hours, substitute x = 8 into d(x) = 1375 - 110x
d(8) = 1375 - 110(8)
d(8) = 1375 - 880
d(8) = 495
The train is 495 miles from its destination after 8 hours
b) How long does the train travel before reaching its destination?
Note that:
d(x) = 1375 - 110x
From the equation above, the speed at which the train is traveling is 110 miles/hr
The distance of the destination = 1375
The time it will take to reach the destination will be calculated as:
Time = Distance / speed
Time = 1375 / 110
Time = 12.5
It will take the train 12.5 hours to travel before reaching its destination
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the product of a number and 9 increased by 4 is 58 find the number
A formula that helps you calculate how long it will take for your savings to double is the Rule of 72.
Answer:
True I hoped this helped!
Step-by-step explanation
Got it right on my quiz
what is the slope intercept of 2y=14-4x
What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y?
At a school, 174 students play at least one sport. This is 75% of the students at the school. How many students are at the school?
W4-21w2-100 how do you factor this
3,10,24,52 what is the pattern
Michael Ross earned $44 on Monday, $36 on Tuesday, $58 on Wednesday, took Thursday off, and earned $51 on Friday. His total earnings for the week
Help I need to turn these into two equations???
Given that X varies proportionally to Y and y=27 when x =3, find the constant of proportionality.
The difference between two numbers is 30. The
ratio of the bigger number to the smaller number is
7:2. What is the smaller number?
The smaller number of the two numbers that have a difference of 30 and a ratio of 7:2 is 12.
How to find the smaller number?The difference between the two numbers is 30.
The ratio of the bigger number to the smaller number is 7:2.
The smaller number can be calculated as follows;
let
x = bigger number
y = smaller number
Hence, the difference in the numbers is as follows:
x - y = 30
Also, the ratio of the bigger number to the smaller number is 7:2.
The bigger number can be found using the ratio. Recall x + y is the total sum of the numbers.
x = 7 / 9(x + y)
x = 7 / 9x + 7 / 9y
x - 7 / 9x = 7 / 9 y
2 / 9 x = 7 / 9 y
multiply both sides by 9
2x = 7y
The bigger number is 7 / 2 of the smaller number.
x = 7 / 2 y
Therefore, let's substitute the value of x in equation(i).
Recall x - y = 30
7 / 2 y - y = 30
5 / 2 y = 30
cross multiply
5y = 60
y = 60 / 5
y = 12
Hence,
x = 30 + 12
x = 42
Therefore,
smaller number = 12
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Help please!! A bacteria culture is started with 300 bacteria. After 4 hours, the population had grown to 500 bacteria. If the population grows exponentially. a: write a recursive formula for the number of bacteria. b: write an explicit formula for the number of bacteria. c: if this trend continues, how many bacteria will there be in 1 day?
Answer:
a).[tex]P_{t}=\frac{5}{3}P_{t-1}[/tex]
b).[tex]A_{t}=300e^{0.1277\times t}[/tex]
c). 6429 bacteria
Step-by-step explanation:
Population of the bacteria grows exponentially.
Therefore, growth of the bacteria will be represented by the formula
[tex]P_{t}=P_{0}e^{kt}[/tex]
Where [tex]P_{t}[/tex] = Population of the bacteria after time t
[tex]P_{0}[/tex] = Initial population of the bacteria
k = growth constant
t = time taken for growth
Now we plug in the values in the formula
[tex]P_{t}[/tex] = 500
[tex]P_{0}[/tex] = 300
Time t = 4 hours
[tex]500=300e^{4k}[/tex]
[tex]e^{4k}=\frac{500}{300}[/tex]
Now we take the natural log (ln) on both the sides
[tex]ln(e^{4k})=ln(\frac{500}{300})[/tex]
4k(lne) = ln(500) - ln(300)
4k = 6.2146 - 5.7038
4k = 0.5108
k = [tex]k=\frac{0.5108}{4}=0.1277[/tex]
a). Recursive formula for the sequence formed by the bacterial growth
Since [tex]P_{t}=(1+r)P_{t-1}[/tex]
500 = (1 + r)300
[tex](1+r)=\frac{5}{3}[/tex]
r = [tex]\frac{5}{3}-1=\frac{2}{3}[/tex]
Therefore, the recursive formula will be
[tex]P_{t}=\frac{5}{3}P_{t-1}[/tex]
b). Explicit formula for the number of the bacteria will be
[tex]A_{t}=300e^{0.1277\times t}[/tex]
c). We have to calculate the number of bacteria after 24 hours
[tex]A_{t}=300e^{0.1277\times 24}[/tex]
[tex]A_{t}=300e^{3.0648}[/tex]
[tex]A_{t}=300\times 21.43[/tex]
[tex]A_{t}=6429[/tex] bacteria
Which is more valuable $20000 received now or $5000 per year for 4 years?
From the time of my beginning, my part was made of fibrous material called collagen, which is secreted by
Collagen is a major structural protein in connective tissue, made of fibrous materials predominantly secreted by fibroblasts. It provides strength and flexibility to tissues like tendons, ligaments, and skin. This protein is crucial for maintaining the body's structural integrity.
Collagen is a key structural protein found in various connective tissues in animal bodies. It is made up of fibrous material, predominantly formed from collagen fibers secreted by fibroblasts. Collagen fibers provide tensile strength and flexibility to tissues such as tendons, ligaments, skin, and bones. This matrix not only holds connective tissues together but also enables the body to maintain its structural integrity even under movement.Add. Write your answer as a mixed number in simplest form.
2 3/4+ 1 9/10=
Steve purchases a new car with a down payment and a loan at a 4.9% interest rate. His loan contract is for 60 months and has no prepayment penalties. Steve makes all his payments on time. What should he do if he wants to pay his loan off before 60 months has passed?
make more than the minimum payments
use the down payment to pay down the loan
increase his auto insurance premiums to decrease the amount owed
pay the principal and interest due each month
Answer:
Pay more than the required premiums
Step-by-step explanation:
The loan contract is of for 60 months. If Steve wants to repay the loan before 60 months , he need to pay more than the promised premiums.
In this way , the Steve will have more payment and as there is no prepayment charges, he will not be paying any penalties also. So the extra payment will help him to reduce the borrowed principle and thus thereby reducing the interest charged.
Hence out answer is option one , which says make more than the minimum payments
Mr. Khans is buying staplers for his office. Each stapler costs $16.99. Write a function to represent the situation.
Answer:
[tex]C(x)=16.99x[/tex]
Step-by-step explanation:
Let x be the number of staplers and C(x) be total cost in dollars of x stapler.
Cost of each stapler = $16.99
So, the formula for total cost is
Total cost = Cost of each units × Number of units
Substitute 16.99 for Cost of each units and x for number of units in the above formula.
Total cost = [tex]16.99\times x[/tex]
Total cost = [tex]16.99x[/tex]
C(x) be total cost in dollars of x stapler. So, the cost function is
[tex]C(x)=16.99x[/tex]
Therefore, the function C(x)=16.99x represents the given situation.
John can travel 368 miles on one tank of gas. His gas tank holds 16 gallons. What is the unit rate for miles per gallon?
4.5 + pi is
A. Rational because it is a terminating decimal
B.Irrational because it is a repeating decimal
C. Irrational because it is a non-terminating and non repeating
D. Rational because it is a non-terminating and non-repeating decimal?
The value of 4.5+ π is Irrational because it is a non-terminating and non repeating.
What is Irrational Number?An irrational number is a real number that cannot be expressed as a ratio of integers. Again, the decimal expansion of an irrational number is neither terminating nor recurring.
Given: 4.5+ π
As, the value of π is 3.1415926535 8979323846 2643383279 50288....
We can see that the value of π is non terminating and non recurring.
Hence, 4.5+ π= 7.6415926535 8979323846 2643383279 50288..
which is also a non terminating and non recurring.
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At Shaw's Market apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples?
#MathHelp HelpPlease
It's important to understand and apply various mathematical concepts taught in high school, including basic algebra, arithmetic, and vector representation. Success also often comes from group work and discussions, which can provide new perspectives.
Explanation:In mathematics, figuring for yourself and collaborative group activities are essential aspects of learning. When we talk about basic algebra and arithmetic, it means we are dealing with mathematical operations such as addition, subtraction, multiplication, division, and solving equations. The principles given in a chapter can be applied to various questions. For instance, if you understand the concept of 'solving for x', you can apply it in different scenarios and questions.
Similarly, when vectors are represented with an arrow above them, this is one of the common notations in mathematics, specifically in vector algebra. It is also important to note that working in groups and participating in discussions can bring another perspective and help understand the subject better.
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What is the domain of the relation {(3, 4), (1, 3), (1, 4), (5, 2)}?
a. { 3 } c. { 1, 2, 3, 4, 5 }
b. { 2, 3, 4 } d. { 1, 3, 5 }
Rafael wants to buy a car he needs it down payment of $3000 if he saves $340 each month about how many months will it take him to save the down payment
It will take Rafael 10 months to save the down payment.
Rafael needs down payment of $3000 If he saves $340 each month, to determine how many months it will take him to save the down payment: Further ExplanationMethod:
To solve this question, round out one of the factors to estimate the product
We have:
340 ≈ 300 (we rounded 340 to the nearest hundred)
Let x represent the number of months, then we have:
300 x X = 3000
3 x 100 x X = 3 x 100 times 10 (for better understanding)
X = [tex]\frac{3000}{300}[/tex]
X = 10
so, it will take him about 10 months to save the down payment.
Notably, we rounded 340 to 300 so that it can be easier to use when calculating.
Some examples of numbers rounded to the nearest hundreds 7671 ≈ 7700 534 ≈ 500 2221 ≈ 2200 195 ≈ 200 8671 ≈ 8700 424 ≈ 400 348 ≈ 300LEARN MORE:
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$3000$340 each monthrafaeldown paymentcarestimate the productrounded to the nearest hundredA new born baby has about 26,000,000,000 cells. An adult has about 4.94 × 10^13 cells. How many times as many cells does an adult have than a newborn? Write your answer in scientific notation