Answer:
It has the same domain and range as the function f(x) = StartRoot x EndRoot. It has the same range but not the same domain as the function f(x) = StartRoot x EndRoot. It has the same domain and range as the function f(x) = negative StartRoot negative x EndRoot.
Step-by-step explanation:
Yolanda purchased stock for $7,000 and paid a 1.5% broker fee. She sold it for $6,325 and paid a 0.5% broker fee. Compute her net proceeds.
Answer:
$-748.38
Step-by-step explanation:
Net proceeds = Total cost of selling the stock - Total cost of purchasing the stock
Total cost of purchasing the stock = $7000 + ($7000 x 0.015) = $7105
Total cost of selling the stock = $6,325 + ($6,325 x 0.005) = $6356.63
Net proceeds = $6356.63 - $7105 = $-748.38
2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $5 for every cake she bakes. She made $50 this week. Write an equation to show how many cakes Sam baked this week.
Answer: 20 + 5x = 50
Step-by-step explanation:
Answer:
She baked 6 cakes.
Step-by-step explanation:
First you would take 50 and subtract 20 from it to get 30. Then you would Divide 5 from 30 to get 6.
rajesh is working out the are of the cirle with radius 10 he writes area=3.142x20 explain why rajesh is wrong
Answer:
100π = 314.1592654
Step-by-step explanation:
area of a circle πr²
π×10²
10×10 =100
100×π
Which ones right ????
a restaurant owner needs to order at least 176 filet Mignon steaks to be stocked. he only has room to store 321 steaks in his fridge. model the number of steaks the restaurant owner can order using a compound inequality.
We know that
• There are needed at least 176 filet Mignon.
,• He only has room for 321 steaks in his fridge.
These values mean that the minimum Filet Mignon is 176, and the maximum would be 321 steaks. So, compound inequality would be
\(176Where x represents the steaks.How many prime numbers are there between 40 and 60
Answer:
20.
Step-by-step explanation:
60 - 40 = 20
Answer:
There are 5 prime numbers between 40 and 60.
Step-by-step explanation:
A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.
Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.
1) -5y+3=2(4y+12)
2) 4 x 2 − 2 x − 2 x − 2 = − 1 2
Answer:
4x2-2x-2x-2=-12
Step-by-step explanation:
- number's
Find the length of side X in simple radical form with a rational denominator
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Convert 2,430 yards to km
Answer:
2.221992
Step-by-step explanation:
can i have the crown pls ૮ ♡ﻌ♡ა
Answer:
2.221
Step-by-step explanation:
HELP!!!!!!!!!!!! PLZZZZZZZZ!!!!!!!!!!!!!!!!!
Answer:
5x4=20 so, 2x10 also equals 20
Step-by-step explanation:
what is the equivalent multiplication expression to 3 divided by 3/4?
Answer:
3 * 4/3 is the corresponding multiplication equation. This is due to the fact that dividing by a fraction is equivalent to multiplying by an inversion of that fraction.
Step-by-step explanation:
50 POINTS Pls correct answer.What is the number of solutions in this system?
one solution
infinitely many solutions
no solution
Answer:
I think that this systems have One solution
If $900 is invested at 3%, compounded monthly, the future value S at any time t (in years) is given by the following.S = 900(1.0025)^12tHow long (in years) will it take for the amount to double? (Round your answer to one decimal place.)
Number of years it will take for the amount to double is 23 years
The principal amount = $900
The interest rate = 3%
The interest is compounded monthly
The given equation is
S = 900(1.0025)^12t
Where S is the final amount
t is the time period in years
The final amount is the double of principal amount
Final amount = 2 × 900
= $1800
Substitute the values in the equation
1800 = 900(1.0025)^12t
1.0025^12t = 1800/900
1.0025^12t = 2
Then value of t = ln(2) / 12ln (1.0025)
Divide the numbers
= 23.13b years
Therefore, the time period is 23 years
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Write the fraction 24/40 in its simplest form.
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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find the area of the shaded region. Round your answer to the nearest hundreth. Big Ideas Math
The area of the shaded region is the space occupied by the shaded region
The area of the shaded region is \(5x^2+7x-26\)
How to determine the area of the shaded regionThe dimension of the big rectangle is 3x - 4 by 2x + 2.
So, the area of the big rectangle is:
\(A_1 = (3x - 4)(2x + 2)\)
Multiply
\(A_1 =x^2 -9x + 18\)
The dimension of the small rectangle is x - 3 by x - 6
So, the area of the small rectangle is:
\(A_2 =(x - 3)(x - 6)\)
Multiply
\(A_2 = x^2 - 9x +18\)
The area of the shaded region is the difference between the above areas.
So, we have:
\(A = 6x^2 - x^2-2x+9x-18-8\)
Evaluate the like terms
\(A = 5x^2+7x-26\)
Hence, the area of the shaded region is \(5x^2+7x-26\)
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Alvin completely filled his 21-gallon
tank of gas with regular fuel for $55.23.
As he left the gas station, he noticed
the station across the street sold
regular fuel priced at $2.56 per gallon.
How much money could Alvin have
saved per gallon if he had gone to the
station across the street?
Answer:
7 cents per gallon if his tank was completely empty upon filling
Step-by-step explanation:
55.23/21=2.63 per gallon at original gas station
2.63-2.56=.07 per gallon saved
Answer:
He would have saved 7 cents a gallon.
Step-by-step explanation:
The gas he filled up on costed 2.63 a gallon
The gas across the street costed 2.56 per gallon
He spent 55.23 on gas, if he filled up at the station across the street he would have paid 53.76.
I sent pic for help. Thanks
If we were to graph this based only on the shorter people, we will have a best-fit line that goes through with most of the points relatively close to it.
However, the extra tall people would skew the data as they will be nowhere the best-fit line. In that case, they become outliers and thus the answer is (A).
Hope that helps!
true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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15 Mary needs to work out the size of angle x in this diagram.
DO NOT WRITE IN THIS AREA
63°
X
B
С
She writes
x = 63° because base angles of an isosceles triangle are equal.
Mary is wrong.
(a) Explain why.
Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°
What is a triangle?
A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles and right angled.
An isosceles triangle is a triangle in which two sides and two angles are equal.
From the diagram:
∠A = ∠B (base angles)
Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°
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i need help with this problem x/56=7/8 Thank you
\( \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49\)
Solve on the interval [0,2pi): 1- cos0= 1/2
Using an inverse trigonometric function, we will find that the solution is:
θ = 1.047
How to solve that equation?Here we want to solve the equation:
1 - cos(θ) = 1/2
Such that θ ∈ [0,2pi)
Now let's return to our equation:
1 - cos(θ) = 1/2
1 - 1/2 = cos(θ)
1/2 = cos(θ)
Now we could apply the inverse cosine function to both sides, then we will get:
Acos(1/2) = Acos(cos(θ))
1.047 = θ
That is the solution.
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the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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Which of the following is NOT true?
Answer
B and C are true for sure but i am not sure about A or C.... i think it is C
Step-by-step explanation:
I need help please !
Answer:
36 tamales would cost $54
Step-by-step explanation:
you divide 15/10=1.5 then you do 1.5 x 36 which equal $54
Multiply the binomials ( 3x + 5) and (4x + 3).
Find x if 2:x=2/6 what is the answer
Answer:
x=6
Step-by-step explanation:
Fractions can also be written as ratios therefore 2/6 can be written as...
2:6=2:x
Since both ratios are 2 to something, then that something has to be equal therefore...
x=6
NEED ASAP !!
Fill in the rest of the graph ? 2 .
How can u tell when Greg was going fastest ?
Answer:
When greg has the lead
Step-by-step explanation:
translate the shape by thr vector (-1 5)
Note that the single transformation that maps triangle A onto triangle B is the reflection of A on the x-axis.
What is the rationale for the above answer?Where the point (x, y) is reflected about the x-axis, then its image is (x, -y)
Also If the point (x, y) is reflected on the y-axis, then its image is (-x, y).
From the given figure
The vertices of triangle A are (1, -2), (4, -1), (4, -4)
The vertices of triangle B are (1, 2), (4, 1), (4, 4)
Look at the y-coordinates of the vertices of the two triangles, they have the same values and opposite signs:
The reflection of (1, -2) is (1, 2)
The reflection of (4, -1) is (4, 1)
The reflection of (4, -4) is (4, 4)
By using the first rule above, we can state that Triangle A is reflected in the x-axis.
Thus, it is correct to state that the single transformation that maps triangle A onto triangle B is the reflection of the x-axis.
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