Answer:
=22 m²
Step-by-step explanation:
Total area= Area of rectangle 1 + Area of rectangle 2
What value of x is in the solution set of 3(x - 4) ≥ 5x + 2 ?
A. -10
B. .-5
C. 5
D. 10
PLS HELP!!
Answer:
x ≥ - 7
Step-by-step explanation:
3(x - 4) ≥ 5x + 2
3x - 12 ≥ 5x + 2
3x - 12 + 12 ≥ 5x + 2 + 12
3x - 5x ≥ 5x - 5x + 14
- 2x ≥ 14
- 2x ÷ - 2 ≥ 14 ÷ - 2
x ≥ - 7
(b)
Mariam uses 25 g of baking powder. How much flour does she need to use?
(c) Mariam uses 720 g of flour. How much baking powder does she need to us
(d) Mariam wants to bake 4 cakes. How many baking powder and flour does she need
Answer: I don't know how to answer this question
This question needs an explanation of how much flour is needed to make a cake.
Nacho cheese corn chips are 28,6% fat. it a party size bag contains 15 ounces of corn chips, and each gram of fat equals 9 calories, how many calories from fat are there in a party sized bag of nacho cheese corn chips?
Based on the amount of Nacho cheese corn chips and the calories per gram, the calories per party bag is 1,094.6 calories
What amount of calories are in a party bag?First, convert ounces to grams:
= 1 ounce is 28.3495 grams
Party bag in grams:
= 15 x 28.3495
= 425.243 grams
The amount of calories is:
= 425.243 x 28.6% x 9
= 1,094.6 calories
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Flight 202’s arrival time is normally distributed with a mean arrival time of 4:30 p.m. and a standard deviation of 15 minutes. Find the probability that a randomly chosen arrival time is within the given time period.
6. After 4:45 p.m
7. between 4:15 p.m. and 5:00 p.m.
8. between 3:45 p.m. and 4:30 p.m
9. by 4:45 p.m
what is 1+1-5/34x + 14y+7
Answer:
\( - \frac{5x}{34} + 14y + 9\)
Step-by-step explanation:
Just making sure. If the way the equation is written is
\(1 + 1 - \frac{5}{34} x + 14y + 7\)
then yeah, that's the answer. If it's formatted differently, send a comment so that I could give you the proper answer.
Find the equation of the line that passes through the point (1,2) with a slope of 4. Plug in your values for a and b into the equation below.
y = ______x+_______
Answer:
y=4x-2
you can find the y intercept if you plot a confirmed point on a graph and follow the slope to the line.
Answer:
y = 4x - 2
Step-by-step explanation:
Since we are given the slope already, we can solve for the y-intercept using the slope, the given point, and the formula [ y = mx + b ]
y = 4x + b
2 = 4(1) + b
2 = 4 + b
-2 = b
Substitute with what we solved for into the formula.
y = 4x - 2
Best of Luck!
Divide. 3/4 divided by 1/8
Answer:
6
Step-by-step explanation:
Hope this helps:)
dividing is the same as multiplying by it's reciprocal
multiplying is the same as dividing by it's reciprocal.
reciprocal is the fraction flipped.
(e.g. 3/4 -> 4/3... 1/2 -> 2/1)
3/4 divided by 1/8
= 3/4 times 8/1
= 24/4
= 6
Hope this helps :3
Our sense of smell is responsible for ___ of our overall chocolate tasting experience. Group of answer choices 10% 30% 50% 70%
Answer:
70%
Step-by-step explanation:
Our sense of smell is responsible for 70% of our overall chocolate tasting experience.
There are 25 girls, 18 boys and 7 adults on a bus. What percentage
of the people on the bus are adults?
Answer:
0.5%
Step-by-step explanation:
y = 2x; (0,2) tell weather the ordered pair is a solution of the equation
Answer:
(0, 2) is a solution
Step-by-step explanation:
The Solution of an Equation
Given the equation
-2x + y = -1
An ordered pair (a,b) is a solution of the equation if
-2a + b = -1
Let's test the point (0,2) to check if it's a solution of the equation:
Replacing x=0, y=-1
-2(0) + (-1) = -1
0 - 1 = -1
-1 = -1
Since the equation is satisfied, the pair (0,2) is a solution.
Answer: O Yes, (0, 2) is a solution
the mean per capita consumption of milk per year is 138 liters with a standard deviation of 28 liters. if a sample of 60 people is randomly selected, what is the probability that the sample mean would be less than 132.25 liters? round your answer to four decimal places.
The probability that the sample mean would be less than 132.25 liters is 0.0558.
What is the central limit theorem?The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape. The distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.
Given, \(\mu\) = 138 , \(\sigma\)= 28
According to the central limit theorem,
P(\(\bar{x }\) < x) = P( Z < x - \(\mu\) / \(\sigma\) / \(\sqrt{n}\) )
So,
P( \(\bar{x }\)< 132.25 ) = P( Z < 132.25 - 138 / 28 / \(\sqrt{60}\) )
= P( Z < -1.5907)
= 1 - P( Z < 1.5907)
= 1 - 0.9442
= 0.0558
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Let f(x)=7x and g(x)=7x+2−4. Which transformations are needed to transform the graph of f(x) to the graph of g(x)? Select each correct answer. vertical translation 2 units up horizontal translation 4 units left horizontal translation 2 units left vertical translation 4 units up vertical translation 4 units down horizontal translation 2 units right
Answer:
There is a vertical translation happening here:
- Up 2 units
- Down 4 units
This is the only change that has happened from f(x) to g(x).
Show work to get full points. Sketch the solid E and region D. Explain which choice is correct and WHY. No credit will be given without justifications and explanations. •√16-²√16-x 1 L √√26-3²-3²- dz dy dx is equivalent to 10 x² + y² a. b. S T dz r dr de • √16-²1 SESS%² C. 1 d. r e. None of a d. dz r dr de dz r dr de dz dr de
The task involves sketching the solid E and region D, and then determining the correct choice among the given options for the integral expression. Therefore, the correct choice is b. ∫∫∫ √(16 - z^2) dz dr de, which represents the volume of the solid E.
To determine the correct choice among the options, let's analyze the given integral expression and its equivalents:
∫∫∫ √(16 - z^2) dz dy dx
This integral represents the volume of a solid E. The region D in the xy-plane is the projection of this solid. The equation of the region D is given by x^2 + y^2 ≤ 16.
Now, let's evaluate each option:
a. ∫∫∫ 10 x^2 + y^2 dz dr de
This option does not match the given integral expression, so it is incorrect.
b. ∫∫∫ √(16 - z^2) dz dr de
This option matches the given integral expression, so it is a possible choice.
c. ∫∫∫ 1 dz dr de
This option does not match the given integral expression, so it is incorrect.
d. ∫∫∫ r dz dr de
This option does not match the given integral expression, so it is incorrect.
e. None of the above
Since option b matches the given integral expression, it is the correct choice.
Therefore, the correct choice is b. ∫∫∫ √(16 - z^2) dz dr de, which represents the volume of the solid E.
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Suppose that, in an alternate universe, the possible values of m
l
are the integer values including 0 ranging from −l−1 to l+1 (instead of simply −l to +l ). How many orbitals would exist in each of the following subshells? A. p subshell B. d subshell Which atomic orbitals have values of n=3 and I=1 ?
A. In the alternate universe, the p subshell would have 5 orbitals.
B. In the alternate universe, the d subshell would have 10 orbitals.
In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.
A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).
B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).
Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.
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You are a rising star in the music industry, and you have just received word that you will be rewarded a $500,000 bonus this year. As your chauffer drives you home in the company's limousine, you call your accountant, who suggests investing your bonus in a high-yield account offering 12% continuous interest. A friend, however wants you to invest your bonus in their restaurant business, and has promised 12% interest, compounded quarterly. You want to compare both accounts before making a decision, you can crunch the numbers and find out: • How long will it take to earn an extra $100,000? • When will the account have $750,000? • How long will it take to double my money? • How long will it take to triple my investment
It will take 5.78 years to earn an extra $100,000 regardless of which option you choose. if we double the amount then it will take approx 10 year.
The high-yield account with continuous compounding interest is a safer investment since it won't be at risk of losing money in a business venture.
Since High-yield account offering 12% continuous interest.
\(A = Pe^{rt}\)
Where A is the final amount, P is the principal amount, r is the annual interest rate, t is the time in years, and e is Euler's number, approximately equal to 2.71828.
we can plug in the given values to find out how long it will take to earn an extra $100,000:
\((P + $500,000)e^{0.12t} - P = $100,000\)
t = ln[(P + $500,000 + $100,000)/P] / 0.12,
where P = $500,000
Substituting the values,
t = ln[(500,000 + 500,000 + 100,000)/500,000] / 0.12t
= ln(2.2)/0.12t = 5.78 years (approx.)
Now we can plug in the given values to find out how long it will take to earn an extra $100,000:
\((P + $500,000)(1 + 0.12/4)^{4t} - P = $100,000\)
t = [ln(P + $600,000) - ln(P)] / [4 ln(1.03)]
where P = $500,000
Substituting the values, we get:
t = [ln(1,100,000) - ln(500,000)] / [4 ln(1.03)]t = 5.78 years (approx.)
After comparing both investment options, it will take approximately 5.78 years to earn an extra $100,000 regardless of which option you choose. However, the high-yield account with continuous compounding interest is a safer investment since you won't be at risk of losing money in a business venture.
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Which of the following is irrational?
Answer:
\(\sqrt{2}\)
Step-by-step explanation:
the other 3 are perfect squares and have rational answers.
\(\sqrt{1.44} =1.2\\\sqrt{1}= 1\\\sqrt{4} =2\)
\(\sqrt{2}\)
A square root of any number that won't result in a whole number is irrational.
In this case, \(\sqrt{2}\) is irrational.
If f(x)= 2(5 − x) +8x, what is the value of f(11)?
Answer:2
Step-by-step explanation:m
2 complementary angles are in the ratio 3:6. Find the angles
Answer:
The angles are 60°, and 30°
Step-by-step explanation:
Complementary angles add up to 90°
3 = 6 = 9
90/9 = 10
10 * 3 = 30
10 * 6 = 60
-Chetan K
add. write your answer in simplest form 7 1/4 +4 5/12
Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.
What is expression?In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.
Here,
To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:
7 1/4 = 28/4 + 1/4
= 29/4
4 5/12 = 48/12 + 5/12
= 53/12
Now, we can add the fractions:
=29/4 + 53/12
To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:
29/4 × 3/3 = 87/12
53/12 × 1/1 = 53/12
Now we have the same denominator, so we can add the numerators:
87/12 + 53/12 = 140/12
We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:
140/12 ÷ 4/4 = 35/3
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martin is pasting pieces of square colored paper of equal size on to a boy measuring 72 cm by 90 cm if only whole square pieces are used and the board is to be completely covered find the largest possible length of the side of each square colored paper
Answer:
18x18 cm
Step-by-step explanation:
This problem translates to the greatest common factor (GCF) of 72 and 90, which is 18.
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 18.
4x18 = 72
5x18 = 90
so with 4x5=20 pieces of paper, the boy can be covered. (Boy?)
If 3^(2x1)=3^(x+5), what is the value of x?
Answer:
its -3
Step-by-step explanation:
since the bases are equal then the powers are equal
\( {3}^{2} = {3}^{x + 5} \\ \\ 2 = x + 5 \\ x = - 3\)
2. A cell phone costs $600 and is on sale for 25% off. What is the sale price after the discount?
whole
Type your answer in the box below.
The sale price after the discount is $
100
or part=% x whole
The sale price of the cell phone that costs $600, after a 25% discount from the cost is $450
What is a discount?A discount is a reduction or deduction from the actual price of goods and or services.
The cost of the cell phone = $600
The percentage discount on the of the cell phone = 25%
The sale price after the discount can therefore be calculated as follows;
Sale price = ((100 - 25)/100) × $600 = $450
The sale price after the discount = $450
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Express the confidence interval 0.039 < p < 0.479 in the form p± E. A. 0.22 ±0.5 B. 0.259 ±0.5 C. 0.259 ±0.44
D. 0.259 ±0.22
Answer:
Step-by-step explanation:
To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.
The midpoint of the interval is the average of the lower and upper bounds:
Midpoint = (0.039 + 0.479) / 2 = 0.259
The width of the interval is the difference between the upper and lower bounds:
Width = 0.479 - 0.039 = 0.44
Half of the width is obtained by dividing the width by 2:
Half Width = 0.44 / 2 = 0.22
Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:
p ± E = 0.259 ± 0.22
So, the correct option is:
D. 0.259 ± 0.22
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helpppppppppppppppp
Answer:
0.75 should be the answer you are looking for
Answer:
he right .75
Step-by-step explanation:
Jen has 191 inches of ribbon. she used 9 inches per bag. she made as many bags as she could. how much ribbon does she have left?
the population (in millions) of a city t years from now is given by the indicated function. (a) find the relative rate of change of the population 7 years from now. (round your answer to one decimal place.) 1.8 % per year (b) will the relative rate of change ever reach 2.3%? yes no solution or explanation (a) (b) p(t)
The relative rate of population change after seven years from now is a) 1.7 % (rounded off to 1 decimal place) b) Yes, the relative rate of population change will reach 2.3% in 19.21 years
The function for population t years from now is P(t)= 2+ 1.2e^(0.04t)
a) relative rate of change of population
= P'(t) / P(t)
= (0+1.2e^(0.04t) * 0.04 )/ ( 2+ 1.2e^(.04t) )
= 0.048 e ^(0.04t) / (2 + 1.2e^(0.04t) )
Relative rate of change of population 7 years from now
= 0.048 e ^(0.04 * 7) / (2+ 1.2e^(0.04*7))
=0.0177 = 0.177 * 100 = 1.7 % per year (rounded off to one decimal place
b) For the relative rate of change to reach 2.3 %
P'(t) / P(t) = 2.3 % = 0.023
⇒(0+1.2e^(0.04t) * 0.04 )/ ( 2+ 1.2e^(0.04t) ) = 0.023
⇒0.048e ^(0.04t) = 0.046 + 0.0267e^(0.04t)
⇒e ^(0.04t) = 0.958 + 0.556e ^(0.04t)
⇒e ^(0.04t) ( 1 - 0.556) = 0.958
⇒e ^(0.04t) ( 0.444) = 0.958
⇒e ^(0.04t) = 2.157
⇒0.04t = ln(2.157) (applying ln on both sides)
⇒t = 19.21 years
The relative rate of population change is 2.3% in 19.21 years
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The length of a rectangle is three times the width. The area of the rectangle is 108 sq. inches what’s the triangles width?
Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ
Step-by-step explanation:
Write the equation of the line shown in the graph to the right
Hint: Think about slope and y-intercept.
Answer:
y=2x-6
Step-by-step explanation:
The intercept is -6 so -6 and you take two points on the line e. g. (3,0) and (2,-2) You would do -2-0 to get -2 and 2-3 to get -1. -2 divided by -1 equals 2. The slope is two.
Paul & Malachy share a lottery win of £2750 in the ratio 2 : 3. Paul then shares his part between himself, his wife & their son in the ratio 5 : 4 : 1. How much more does his wife get over their son?
Answer:
£330
Step-by-step explanation:
The total ratio between Paul and Malachy is 2 + 3 = 5.
The amount that Paul will receive is:
2/5 * 2750 = £1100
The second ratio is between Paul, his wife and their son in the ratio 5:4:1. The total ratio between Paul, his wife and their son is:
5 + 4 + 1 = 10
The amount that Paul's wife will receive is:
4/10 * 1100 = £440
The amount that their son will receive is:
1/10 * 1100 = £110
Therefore, the amount that the wife will receive over the son is:
440 - 110 = £330
Please help me out with this
Answer:
(3,-1)
Step-by-step explanation: