9514 1404 393
Answer:
£374
Step-by-step explanation:
Let d represent Carol's decreased wage, w represent its original value, and i represent that wage with an increase.
We want to find i = w(1 +10%) = 1.10w.
We have d = w(1 -10%) = 0.90w.
Solving the latter for w, we find ...
w = d/0.90
Substituting this into the expression for i, we get ...
i = 1.10(d/0.90) = d(1.10/0.90) = d(11/9)
Then the increased wage would have been ...
i = £306(11/9) = £374
Had Carol received a 10% increase, her weekly wage would be £374.
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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Drag and drop the correct images into the model below to show what would most likely happen to the
given sample of CT₂ if it were cooled over time.
Original Sample
8
848
8
After 5 minutes
After 10 minutes
Original Sample: CT₂ in gaseous state
After 5 minutes: CT₂ in a gaseous state at a lower temperature
After 10 minutes: CT₂ transitions to a solid state, forming solid crystals.
When CT₂ is cooled over time, it typically undergoes a phase change from a gas to a solid. At room temperature and pressure, CT₂ exists as a gas. As the cooling process begins, the CT₂ molecules start losing energy and slow down. After 5 minutes of cooling, the CT₂ molecules would still be in a gaseous state but would have decreased in temperature.
However, as the cooling process continues and reaches the 10-minute mark, the temperature of the CT₂ would continue to decrease. Eventually, at a certain temperature known as the condensation point, the CT₂ molecules would condense and transition into a solid state. At this point, the sample of CT₂ would appear as solid crystals.
To summarize, the CT₂ sample initially in a gaseous state would gradually cool down, and after 5 minutes, it would still be a gas but at a lower temperature. After 10 minutes, it would likely reach the condensation point and transition into a solid state, forming solid crystals.
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Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
What else would need to be congruent to show that ABC= XYZ by ASA
The given info is that
angle A = angle Xangle C = angle Zas shown in the diagram below. The side between angle A and C is segment AC. Similarly, segment XZ is between angles X and Z. If we knew that AC = XZ, then we would have enough info to use the ASA (angle side angle) congruence theorem.
Answer:
angle C congruent to angle Z
Step-by-step explanation:
apex
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
On a right triangle, the hypotenuse is 12.8
cm and the leg is 8 cm. What is the length of
the unknown side rounded to the nearest
tenth of a centimeter. Plss help me with this 25 POINTS
The length of the unknown side is 9.9 cm rounded to the nearest tenth of a centimeter.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We have been given that On a right triangle, the hypotenuse is 12.8
cm and the leg is 8 cm.
Using pythagoras theorem, If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
\(|AC|^2 = |AB|^2 + |BC|^2\)
12.8² = 8² + s²
s² = 12.8² - 8²
s² = 163.84 - 64
s² = 99.84
s = √99.84
s = 9.9 cm.
Therefore, the length of the unknown side is 9.9 cm rounded to the nearest tenth of a centimeter.
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Profit is defined as total revenue minus total cost. The profit function of a company that manufactures and sells x units of a product is given by P(x) = R(x)-C(x), where
P represents the company's profits, R represents the company's revenue, and C represents the company's cost. If a company sells a calculator for $13, its revenue
function is R(x) = 13x. The cost of each calculator manufactured is $9. In addition, it renewed its lease on the plant, so its weekly fixed costs are $1240.
(a) Determine the profit function. (b) Determine and interpret P(700).
Answer:
a.) P(x)= 4x - 1240
b.) make $1,560 profit in 1 week by selling 700 calculators
Step-by-step explanation:
a.) P(x)=R(x)-C(x)
R(x)=13x; C(x)=9x + 1240 assuming they are asking for profit in a week
P(x)= 4x - 1240
b.) P(700) = 4(700) -1240 = 1560
Find the area of the paralellogram (with steps please)
\(\huge\text{Hey there!}\)
\(\huge\text{The formula for finding the area of a}\\\\\huge\text{parallelogram is:}\)
\(\mathtt{\bold{b}ase\times\bold{h}eight= \bold{a}rea}\)
\(\huge\text{Your equation should look like:}\)
\(\mathtt{8\ cm \times 24\ cm\ = area}\)
\(\huge\text{Solving for your answer:}\)
\(\mathtt{8\ cm \times 24\ cm\ = area}\\\mathtt{\rightarrow 24\ cm \times8 \ cm = area}\\\mathtt{\rightarrow 24cm + 24cm + 24cm + 24cm + 24cm + 24cm + 24cm + 24cm}\\\mathtt{\rightarrow 48cm + 48cm + 48cm + 48cm}\\\mathtt{\rightarrow 96cm + 96cm}\\\mathtt{\rightarrow 192cm}\)
\(\huge\text{So, what is the answer?}\)
\(\huge\boxed{\mathtt{192\ cm^2}}\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Question 1 Business Analytics
The responses to the linear optimization questions are;
Question 1
The optimal daily profit is $380
Question 2
The combination of x and y that yield the optimal value is the option;
x = 0, y = 3
What is linear optimization or optimization?Linear programming is a method by which the optimal solution can be obtained from a model represented mathematically and in which the constraints of the model have linear relationships.
Question 1
Let B represent the number of bear claws, C the almond-filled croissant, F represent the flour, Y represent the amount of yeast and A represent the number of almonds.
The amount of ingredient per each produce is therefore;
B = 6·F + 1·Y + 2·A
C = 3·F + 1·Y + 4A
The amount of ingredient available for the days production is as follows;
Ingredient available; 6600·F + 1400·Y + 4800·A
The constraints are therefore
6·B + 3·C ≤ 6,600
B + C ≤ 1,400
2·B + 4·C ≤ 4800
The maximizing function is therefore;
Profit = 0.2·B + 0.3·F
The equations of the lines are therefore;
B = 1,100 - 0.5·C
B = 1400 - C
B = 2400 - 2·C
The vertices of the feasible region are;
(0, 1100), (600, 800), (1000, 400), 1200, 0)
The values of the maximizing function at the vertices of the feasible region are;
Profit, P = 0.2×1100 + 3×0 = 220
At point (600, 800), P = 0.2×800 + 0.3×600 = 340
At point (1000, 400), P = 0.2×400 + 0.3×1000 = 380
At point (1200, 0), P = 0.2×0 + 0.3×1200 = 360
The maximum profit is $380, obtained when 400 Bear claws and 1000 almond filled croissants are producedQuestion 2
Maximize $3·x + $15·y
Subject to the following constraints;
2·x + 4·y ≤ 12
5·x + 2·y ≤ 10
x, y ≥ 10
The equations are therefore;
4·y ≤ 12 - 2·x
y ≤ 3 - 0.5·x...(1)
5·x + 2·y ≤ 10
2·y ≤ 10 - 5·x
y ≤ 5 - 2.5·x...(2)
x ≥ 10, y ≥ 10
The coordinates of the vertices of the feasible region are;
(0, 3), (1, 2.5), and (2, 0)
The values of the maximizing function are therefore;
At (0, 3), M = $3 × 0 + $15 × 3 = $45
At (1, 2.5), M = $3 × 1 + $15 × 2.5 = $40.5
At (2, 0), M = $3 × 2 + $15 × 0 = $6
The combination of x and y that yield the optimum is therefore;
(x, y) = (0, 3)
x = 0, and y = 3
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Joan is planting a rectangular garden that is 20 ft. long and 25 ft. wide. What is the total area of the garden?
A. 90 ft²
OB. 45 ft²
OC. 180 ft2
OD. 500 ft²
E. 1025 ft²
Answer:
D
Step-by-step explanation:
Explain on how to do it for brainlist please
What is the slope of the blue line
Evaluate 3a - 4b for a = -1 and b =6
Answer:
-27
Step-by-step explanation:
3a - 4b
-3 - 4b
-3 - 24
-27
what is the solution to this equation 2x plus 3 equals x minus 4
Answer:
x=-7
Step-by-step explanation:
For equations, our main goal is to isolate the variable, and we do that by performing reverse operations on both sides of the equation to cancel values out.
2x+3=x-4
Subtract both sides by 3
2x+3-3=x-4-3
2x=x-4-3
2x=x-7
Subtract both sides by x
2x-x=x-7-x
x=-7
I hope this helps!
Use the open number line to find the difference.
423 – 160 = ____
An open number line is shown. A hop to the left of negative 100 begins at 423. A second hop to the left of negative 50 begins where the first hop ends. A third hop to the left of negative 10 begins where the second hop ends.
A.
363
B.
360
C.
263
D.
260
NO LINKS!!!
Consider the interval.
(-∞, 9]
State whether the interval is bounded or unbounded.
a. bounded
b. unbounded
Represent the interval with an inequality
a. x > 9
b. x≥ 9
c. x≥-9
d. x < 9
e. x ≤ 9
Sketch the graph
Answer:
a. unbounded
e. x ≤ 9
Step-by-step explanation:
The interval means all real numbers less than or equal to 9.
Since all numbers to negative infinity are included, it is unbounded.
a. unbounded
e. x ≤ 9
A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.
Answer:
b. unbounded
e. x ≤ 9
Step-by-step explanation:
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
A bounded interval is an interval that includes both its endpoints.
For the interval (-∞, 9]:
The endpoint -∞ is not included.The endpoint 9 is included.Therefore, the given interval is unbounded.
Inequality notation
< means "less than"> means "more than"≤ means "less than or equal to"≥ means "more than or equal to"Therefore, the given interval is represented by the inequality x ≤ 9.
To sketch the graph on a number line:
Place a closed circle at 9.Shade to the left of the closed circle.To sketch the graph on a coordinate plane:
Plot a solid line at x = 9.Shade to the left of the line.2.
Solve for x. Round to one
decimal place (nearest
tenth).
11
X
45°
5 is the measure of the value of x from the diagram
Solving triangles using trigonometry identityThe given diagram is a triangle with the following parameters
Opposite = 5
Adjacent = x
Using the trigonometry identity
tan theta = opp/adj
tan45 = 5/x
x = 5/tan45
x = 5/1
x = 5
Hence the measure of the value of x is 5.
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pls help
the answer choices for the first one is.. added , subtracted
the second one is.. added , subtracted
the third one is.. added , subtracted
tysm <3 i’ll mark brainliest
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if shr ended with $12?
Answer:
16
Step-by-step explanation:
I am not sure, but this made sense for me try it yourself, ok so Imani allowance is not known, what we know is that she had earned 4 dollars because she washed the car and at the end she ends with 12, that makes it where her allowance would be 16 you spend half of it you are left with 8, than you add the 4 so you get 8 plus 4 is 12 which is what she ended with.
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find .
(b) Find .
Answer:
Step-by-step explanation:
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y ≤ −2x + 10 y > 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 A B J H
The points which represents a the solution are: A, C, D and K
What are coordinates?
Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.
The given inequalities: y ≤ −2x + 10 & y > 1/(2x − 2)
The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),
F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).
The attached figure represents the graph of the given inequalities.
The shaded area represents the solution of the inequalities.
So, the points lies in the shaded area represents the solution of the inequalities.
So, points A, C, D and K are a solution to the system of inequalities.
Note only if
If the given inequalities: y ≤ −2x + 10 & y > (1/2x) - 2
It will be the same solution.
Hence, The points A, C, D and K are a solution to the system of inequalities.
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Use a calculator to evaluate the expression.
log 94.4
Answer:
1.97497
Step-by-step explanation:
Using my calculator, I just put in log(94.4).
a water cooler contains 5 gallons of water there are 24 students who drink one cup each from The Jug how many pints of water are left in the cooler
The number of pints of water left in the cooler will be 28 pints
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A water cooler contains 5 gallons of water there are 24 students who drink one cup each from the Jug.
In 5 gallons of water, there are 40 pints of water. And in 1 cup of water, there are 0.50 pints.
Then the number of pints of water left in the cooler is given as,
⇒ 40 - 24 x 0.5
⇒ 40 - 12
⇒ 28 pints
The number of pints of water left in the cooler will be 28 pints
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Linear equation: -1 2 (6x + 10) = 13 Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation? the addition property of equality and then the division property of equality the addition property of equality and then the multiplication property of equality the subtraction property of equality and then the division property of equality the subtraction property of equality and then the multiplication property of equality
Answer:
(A) the addition property of equality and then the division property of equality
Step-by-step explanation:
To get from Step 1 to Step 2, we have added 5 to both sides of the equation:
-3x -5 +5 = 13 +5
-3x = 18
To get from Step 2 to Step 3, we have divided both sides of the equation by -3:
-3x/-3 = 18/-3
x = -6
These operations can be described as ...
the addition property of equality and then the division property of equality
__
However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.
(add 5, divide by -3) = (add 5, multiply by -1/3) =
(subtract -5, divide by -3) = (subtract -5, multiply by -1/3)
Answer:
A.) the addition property of equality and then the division property of equality
Step-by-step explanation:
Got It Right. Trust me
Freya earns $1575 per month. What is the maximum amount she should budget for
housing?
Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.
When budgeting for housing, it is generally recommended to allocate a certain percentage of your income towards housing expenses. The recommended percentage varies depending on factors such as location, personal financial goals, and individual circumstances.
A common guideline is to spend no more than 30% of your monthly income on housing expenses. To determine the maximum amount Freya should budget for housing, we can calculate 30% of her monthly income:
Maximum housing budget = 30% of $1575
Maximum housing budget = 0.30 × $1575
Maximum housing budget = $472.50
Therefore, Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.
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Select the interval(s) where the function is increasing:
f(x) = x ^ 4 - 5x ^ 2 - 3
(- 9.3, - 3)
(- ∞,- 1.5)
(0, 1.5)
(-1.5, 0)
(1.5, ∞)
(-∞, ∞)
(-9.3, ∞)
A rectangle has an area of 18 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
B
C
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
4 cm and 5 cm
Answer:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
Step-by-step explanation:
We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
It went down 18 floors then up by 23 floors. What floor is the
elevator now?
A. 43rd floor
24th floor
C. 37th floor
04
D)40mh floor
C. Assessment Application/Outputs
1. Directions: Choose the letter of the answer and write it in your answer sheet.
1. A scuba diver is 18ft underwater. He dove 10 feet more and swam 20 feet back up again. Which of
these integers represents the position of the diver in reference to the surface?
A. O
B. 8
C.-7
D.-8
2. From the marker, you took 12 steps forward, 8 steps backward, 3 steps forward then finally 6
steps backward. How many steps away are you from the marker?
A. 1 step back B. 1 step forward C. 2 steps back D. 2 steps forward
3. An ancient temple is believed to be the ritual site of the natives used in 200BC and lasted for 450
years until it got destroyed. About what year was the temple last used?
A. 250 BC
B. 650 AD
C. 250 AD
D. 650 BC
4. A car is at 35km west of the zoo. It travelled 50 km east, and then back to the west by 10km. What
is the current position of the car in reference to the zoo?
A. 5km east
B. 5km west
C. 30km east
D. 30km west
5. The critical level of water in a small dam is 12 feet and currently the water level is at 18 feet. Due
to El Niño, it is predicted that the water level will drop half a foot each week. How far close from
the critical level will the water be after 8 weeks?
A. 2 feet below critical
B. 4 feet above critical
C. 4 feet above critical
D. 2 feet above critical
1.A.43 (I actually got 41)
2.?.