Answer:
work is shown and pictured
Joshua and his friends spend £8.78, £6.32 and £9.17 on their lunches.
Estimate their total spend to the nearest pound.
Answer:
8.78 = 9.00
6.32 = 6.00
9.17 = 9.00
9 + 6 + 9 = 24
Estimated total spend is approximately €24.00.
The volume Vcm3 of fluid in a container at time t seconds can be modelled using the differential system dVdt=2V−15. If V=15cm3 at time t=0, calculate the volume of fluid in the container after 2 seconds. Give your answer to the nearest cubic centimetre. Do not include any other symbols or units in your answer.
The ODE is separable, as
dV/dt = 2V - 15 → dV/(2V - 15) = dt
Integrate both sides to get
1/2 ln|2V - 15| = t + C
(To compute integral, consider substituting U = 2V - 15.)
The volume is V = 15 cm³ when t = 0, so that
1/2 ln(15) = C
and so the volume at any time t is such that
1/2 ln|2V - 15| = t + 1/2 ln(15)
Solve for V :
ln|2V - 15| = 2t + ln(15)
2V - 15 = exp(2t + ln(15))
2V - 15 = exp(2t) exp(ln(15))
2V - 15 = 15 exp(2t)
2V = 15 + 15 exp(2t)
V = 15/2 (1 + exp(2t))
(where exp(x) = eˣ )
Then the volume of fluid after t = 2 s is
V = 15/2 (1 + exp(4)) ≈ 417 cm³
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
B.
Step-by-step explanation:
The index is the denominator
the radicand is 2n
the radicand is raised to the numerator
Determine the volume of a sphere with a diameter of 70 mm.
Question options:
A)
3,216.9 mm3
B)
100,024 mm3
C) CORRECT ANSWER
179,594.4 mm3
D)
21,714.7 mm3
Answer:
c.
Step-by-step explanation:
4/3 pi r²
4/3 × 3.142 or 22/7 × 3.5²
Many matchers we conserved about the number of petentiomers within a certain wes of land besmes of the different represents to serve dumilar mee. What is this
seguentation variable collect
O Missomasin
Poplation
O CRUSA
6.Maleet bety
The population would be the name that is used to refer to the segmentation variables
What is population in research?
In research, population refers to the entire group of individuals or objects that share a common characteristic and are of interest to the researcher. The population is the group to which the researcher wishes to generalize their findings. For example, if a researcher is studying the effects of a new medication on blood pressure in adults, the population would be all adult individuals who have high blood pressure.
It is important to define the population accurately in research because the results of the study can only be generalized to the population being studied. If the population is not defined accurately, the results of the study may not be applicable or generalizable to other groups or populations.
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50 Points!!!!!! Triangle ABC is given.
Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.
What is the measure, in degrees, of ∠A?
Enter your answer in the box.
All 3 angles add up to 180 degrees.
so 40 + 2x + 3x = 180
40 + 5x = 180
5x = 140
x = 28
So angle A = 2x = 2(28) = 56 degrees.
Answer: 56°
Step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.
Given:
2x + 3x + 40 = 180
Combine like terms:
5x + 40 = 180
Subtract 40 from both sides of the equation:
5x = 140
Divide both sides of the equation by 5:
x = 28
Next, we will substitute this value of x into the expression for ∠A.
∠A = 2x = 2(28) = 56°
determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
i need help again!!
A translation followed by a reflection
Which function is represented by the graph?
Answer:
the answer is most likely
y = sin(x-x/4)-2
Solve the system of equations using elimination
Answer:
(1, 3).
Step-by-step explanation:
x + 2y = 7
3x - 2y = -3
Adding the 2 equations will eliminate y:
4x = 4
x = 4/4
x = 1
Plug x = 1 into the first equation:
1 + 2y = 7
2y = 6
y = 3.
using the least-squares regression line, calculate the predicted value and residual value for the data point where the non-native grass biomass is equal to 35 and the coastal sage scrub biomass is equal to 20. give your answers precise to three decimal places.
By using the least-squares regression line the equation will be y = 1.518x + 0.305.
Let us find the value of slope and y-intercept that suits the data y = mx + b
And then , we have to find the value of x² ,∑x,∑y,∑x²,∑xy also N
Then, we have to calculate the slope m
m = n∑(xy) - ∑x ∑y / n ∑(x²) - (∑x)²
= 5 X 236 -26 X 41 / 40 - 676
= 249 / 164
= 1.5183
Then , we hace to calculate the intercept b
b = ∑y - m∑x / n
= 41 - 1.5183 X 26 / 5
= 0.3049
After this we have to assemble it in the equation of line
y =mx + b
Therefore ,
y = 1.518x + 0.305
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The time, t, required to drive a certain distance varies inversely with the speed r. if it takes 7 hours to drive the distance at 55 miles per hour, how long ill it take to drive the same distance at 65 miles per hour, how long will it take to drive the same distance.
A. about 6.25 hours
B. about 385.00 hours
C. about 5.92 hours
D. about 3.21 hours
Option C. It t will take approximately 5.923 hours to drive the same distance at 65 miles per hour.
How to solve for the time takent = k / r
where k is the constant of variation.
First, we need to find the constant of variation, k, using the given information:
t = 7 hours when r = 55 mph
7 = k / 55
To find k, multiply both sides by 55:
k = 7 * 55 = 385
Now that we have the constant of variation, we can find the time it will take to drive the same distance at 65 mph:
t = k / r
t = 385 / 65
t ≈ 5.923 hours
So, it will take approximately 5.923 hours to drive the same distance at 65 miles per hour.
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A soccer club organizes a bake sale to pay
for a soccer tournament that has a $350 registration fee.
Write about it! How many packages of cookies will they
need to sell to cover the registration fee if they charge
$1.25 per package. Write a mathematical argument that
can be used to defend your solution.
The number of packages of cookies that they will need to sell to cover the registration fee would be = 280 packages.
What is mathematical argument?A mathematical argument is a variable statement that affects the functionality of a result.
The total amount of the registration fee owned by the soccer club that would be used for the tournament = $350
The amount paid for each package = $1.25 per package
Therefore the number of packages they can acquire would be calculated as follows:
1 package = 1.25
X package = 350
make X the subject of formula;
X = 350/1.25
X= 280 packages.
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Anthony and his family went out to dinner last night. When the bill came, Anthony's mom figured out how much to tip their waiter. For a dinner bill of d dollars, she tips 0.20d dollars. The bill for the family's dinner was $56. How much did Anthony's family tip the waiter?
If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:
0.2 × 56
= $11.6
Therefore the waiter was tipped $11.6
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Answer:
A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.
Evaluate the expression 0.20d for d=56.
0.20d
=
0.20(56)
=
11.2
The family tipped the waiter $11.20.
Bruce goes hiking every 2 days and swimming every 11 days . He did both kinds of exercise today . How many days from now will he next go both hiking and swimming again.
Answer:
22 more days
Step-by-step explanation:
so basically you have to find out the LCM of 2 and 11. which is 22. And that means they go hiking AND swimming in the same day the next 22 days. (basically what the other person said lol)
AND that is basically your answer :D
How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
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Find the value of x to
the nearest degree.
Answer:
Step-by-step explanation:
a
what number must be added to the sequence of 7,13 and 10 to get an average of 13
Answer:
22
Step-by-step explanation:
We can write an equation:
(7+13+10+x)/4=13
x represents the number that needs to be added to get an average of
(7+13+10+x)/4=13
(30+x)/4=13
30+x=52
x=22
The number is 22
Hope this helps! Have a wonderful day :)
Will mark brainliest !! Easy math
Answer:
increase = 37.38 cm²
You'd like the first way because it took less effort and less chance of a miscalculation.
Step-by-step explanation:
first way:
(just work with the difference in height)
(0.7 x 8.7 x 2) + (0.7 x 18 x 2) = 37.38 cm²
second way:
old total lateral surface area = (31 x 8.7 x 2) + (31 x 18 x 2) = 1655.4
new total lateral surface area = (31.7 x 8.7 x 2) + (31.7 x 18 x 2) = 1692.78
increase = 1692.78 - 1655.4 = 37.38 cm²
Answer:37.38cm2
Step-by-step explanation:
Which algebraic expression represents the phrase “fourteen increased by a number”?
Answer:
14+x
Step-by-step explanation:
180=(19x-18)+(7x+1)+(10x-9)
Let's solve your equation step-by-step.
180=19x−18+7x+1+10x−9
Since this is a very long process to simplify this equation please see the picture below.
Description:
The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that youneed to combine it a terms. Then you will get your answer.
Answer: x = 103/18
Hope this helps.
A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use
Solving a system of equations we can see that:
She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?We can use the variables:
x = mass of the 60% solution.
y = mass of the 85% solution.
We can write a system of equations.
x + y = 70
x*0.6 + y*0.85 = 70*0.8
We can isolate x on the first equation to get:
x = 70 - y
Replace that in the other one:
(70 - y)*0.6 + y*0.85 = 70*0.8
Now we can solve this for y.
y*0.25 = 70*0.8 - 70*0.6
y = 14/0.25 = 56
Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.
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Find the probability that you will roll an even number exactly 5 times when you:
roll a six-sided number cube 10 times.
P=
roll a six-sided number cube 20 times.
PE
DONE
If f(x)= 2x-2 and g(x) =x^2 -8x+19, then f(x)=g(x) for what values of x?
Answer:
24.
Step-by-step explanation:
With composition of functions (as with the order of operations) we perform what is inside of the parentheses first. So, g(3)=2(3)+2=8 and then f(8)=24.
Answer: your answer for that equation would be G = y/x
Step-by-step explanation:
Answer pls will give brainliest PLS PLS Free Bobux
And Vbox PLs
WILL GIVE 100 Points
The options that would be used to fill the blanks are
draining fasterslopesteeper thanslope.How to write the sentence based on the diagramWe have it that Tank A is draining faster than that of B. This is due to the fact that the Tank A from the diagram that we have is steeper than the graph of B from the slope that we can see.
The slope is the gradient of the line graph. It helps us to show how steep or how faster an object can fall from it. An object would fall down faster because the steep is more.
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Answer:
how would u give "bobux" and "vbox"
Step-by-step explanation:
Which set of values are equivalent.
3/10, 30%, 0.3 50%. 1/2, 0.05 0.625, 5/8, 6.25% 1.14, 2/5, 4%
Answer:
3/10, 30% and 0.3 are equivalent
50% and 1/2
0.625 and 5/8
2/5 and 4%.
Hope that helps. x
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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(G.5.c, 1pt) Given three side lengths, select the set for which a triangle exists. O A. 9 cm, 11 cm, 21 cm OB. 8.5 cm, 17 cm, 10.6 cm O C. 14 cm, 4.7 cm, 4.7 cm O D. 6 cm, 14 cm, 8 cm
The options A, B and D are all difficult to determine given the difference in side lengths. Option C is definitely an isosceles triangle because it has two sides equal.
Two of its sides measure 4.7 cm each (which is one of the properties of an isosceles triangle).
Ideally all other options have three sides given, but in view of the question the best option is C, since its already been defined as an isosceles due to the dimensions given.
Justin owns a small business selling used books. He knows that in the last week 76 customers paid cash, 4 customers used a debit card, and 42 customers used a credit card. If next week, he is expecting 200 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.
Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.
Based on the previous week's data, the percentage of customers who paid with cash is (76/122)*100 = 62.3%. If we assume that this percentage will remain constant for the next week, then we can estimate that out of 200 customers, approximately 62.3% will pay with cash.
To calculate this, we can use the proportion:
(76/122) = (x/200)
where x is the number of customers we expect to pay with cash next week.
Solving for x, we get:
x = (76/122)*200 = 124.59
Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.
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Triangles A and B are congruent.
Find the area of triangle A. Give your answer to 1 dp.
Answer:
A ≈ 117.3 cm²
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Area of a Triangle: A = 1/2bh
If Triangle A ≅ Triangle B, then the bottom side length of A would be 11 cm and the hypotenuse will stay 24 cm.
Step 1: Find the vertical leg of A
11² + b² = 24²
121 + b² = 576
b² = 455
b = 21.3307 cm
Step 2: Find area of A
A = 1/2(11)(21.3307)
A = 1/2(234.638)
A = 117.319
A ≈ 117.3 cm²