1)He earns $7500 from the table his tax rate will be 10% of the amount over $0
this is because his income falls between $0 and $7825
his tax rate = 10/100 x 7500 = $750 that is 10% of his income
2)
Hello
Please what’s the explanation to get the answer (2+2) ² (2+3)³
Answer:
141Step-by-step explanation:
Hello
Please what’s the explanation to get the answer (2+2) ² (2+3)³
we use PEMDAS
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
(2 + 2)² + (2 + 3)³ =
4² + 5³ =
16 + 125 =
141
A family will travel 225 miles
from their house in order to reach
Austin, Texas. Which inequality
can be used to find all possible
values of t, the time it will take
this family to reach Austin in
hours, if they travel at an average
speed of at least r miles per hour?
Answer:
t ≤ 225r
Step-by-step explanation:
Distance = 225 miles
Time taken = t
Average speed = r miles per hour
Recall :
Speed = distance / time
Time, = distance / speed
t = 225 miles / r
All possible values of t :
t ≤ 225r
34/75 divided by 51/100
\(\cfrac{34}{75}\div \cfrac{51}{100}\implies \cfrac{34}{75}\cdot \cfrac{100}{51}\implies \cfrac{34}{51}\cdot \cfrac{100}{75}\implies \cfrac{2}{3}\cdot \cfrac{4}{3}\implies \cfrac{8}{9}\)
A 5 meter ladder is positioned 3.2 meters away from a building. A) draw a diagram to represent the information.b) calculate how far up the building the ladder is c) write the root of 14.6 to 2 decimal place. Show a picture of the working out
Answer:i belive that b is the answer from what i got information wise
Step-by-step explanation:
i need help with 5/8 x 4/9 show your work
When we need to multiply two fractions, multiply the two numerators, then multiply the denominators and finally, simplify the new fraction, like this:
\(\frac{5}{8}\times\frac{4}{9}=\frac{5\times4}{8\times9}=\frac{20}{72}=\frac{10}{46}=\frac{5}{23}\)find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
Which expression is equivalent to the distance between -13 and -4 on a number line? I need some help
Answer:
9
Step-by-step explanation:
To solve this count from -4 and -13. So counting, we go -5, -6, -7, -8, -9, -10, -11, -12, and -13. To get from -4 to -13 we counted 9 numbers and that gets you your answer of nine. Hope that helps!
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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How are quarts and gallons related?
Answer:A quart contains 4 cups or 2 pints while a gallon contains 16 cups or 8 pints. Hence, a liquid gallon is equal to 4 liquid quarts.
Step-by-step please give me brainiest and have a nice day :)
A child is spinning a rock at the end of a 2 foot rope at a rate of 180 revolutions per minute. What is the approximate linear velocity of the rock when it is released.
Answer:
A child is spinning a rock at the end of a 2-foot rope at the rate of 180 revolutions per minute (rpm).
Step-by-step explanation:
State whether the equation has one solution, no solution, or definitely many solution.
Given:
\(5j=5j-6\)Simplify:
\(\begin{gathered} 5j-5j=5j-6-5j \\ 0=-6 \end{gathered}\)The sides are not equal so the equation has no solution.
Answer: no solution
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Express the velocity vector v in terms of i and j.
Answer:
The speed of the ball in terms of i and j is (15.76 i, 6.37 j)
Step-by-step explanation:
Given;
velocity of the ball, v = 17 mph
angle of inclination, θ = 22⁰
The horizontal component of the velocity is calculated as;
\(V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i\)
The vertical component of the velocity is calculated as;
\(V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j\)
Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)
3 2/3 x 1/5= please help
Answer: 11/15
Step-by-step explanation:
11. The formula for the volume, V, of a sphere with radius r
is V = () ³. If the radius of a baseball is 1
inches,
3
what is the volume to the nearest cubic inch?
A. 6
B. 8
C. 10
D. 14
E. 15
The volume of the baseball, to the nearest cubic inch, is A. 6 inches³
Volume is a degree of occupied three-dimensional space. it is often quantified numerically as the usage of SI-derived devices or with the aid of various imperial units.
Whereas the fundamental method for the region of a rectangular form is period × width, the fundamental formulation for volume is duration × width × top. How you talk to the distinctive dimensions does no longer exchange the calculation: you may, as an example, use 'depth' instead of 'peak'.
Quantity is the measure of the capacity that an object holds. For instance, if a cup can keep 100 ml of water as much as the brim, its volume is said to be 100 ml. Quantity can also be defined as the quantity of space occupied by way of a three-dimensional object.
The volume of a sphere is calculated by the formula:
= 4/3 x π x radius ³
A baseball is a sphere and in this case, its radius is 1.13 inches.
The volume of the baseball is:
= 4/3 x 22/7 x 1.13³
= 4/3 x 22/7 x 1.442897
= 6.0464 inches³
To the nearest inch it is:
= 6 inches ³
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How does the structure of a leaf enable photosynthesis to take place?
PLEASE HELP I KNOW THIS IS NOT FOR MATH BUT I DID NOT FIND SCIENCE :(
Answer:
Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket
Answer: There are 9 mangoes left in the basket.
Step-by-step explanation:
(2/5) * 15 = 6.
15 - 6 = 9.
X is a discrete random variable. The graph below defines a probability distribution for X.
What is the expected value of X?
Answer: 1.1
Step-by-step explanation:
Expected value is the weighted average of the various possibilities and their probability of occurring.
The probabilities represented are:
0.35, 0.35, 0.15 and 0.15.
They add up to:
= 0.35 +0.35 + 0.15 + 0.15
= 1
The possibilities are; 0, 1, 2 and 3.
Expected value = (0.35 * 0) + (0.35 * 1) + (0.15 *2) + ( 0.15 * 3)
= 1.1
A box has the shape of a rectangular prism with height 28 cm. If the height is increased by 0.2cm, by how much does the surface area of the box increase? L=13 W=8.7 H=28
The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.
To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.
The formula for the surface area of a rectangular prism is given by:
Surface Area = 2*(length width + length height + width*height)
Initial Surface Area:
Length (L) = 13 cm
Width (W) = 8.7 cm
Height (H) = 28 cm
Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)
Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:
New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm
New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))
To find the increase in surface area, we subtract the initial surface area from the new surface area:
Increase in Surface Area = New Surface Area - Initial Surface Area
Let's calculate the values:
Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²
New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²
Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²
Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.
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Find u+v-4u.
u=(5,-2) and v= (-5,7)
By placing the given value in equation , we get u + v - 4u = (-20, 13)
How to evaluate vector?A physical quantity that has both directions and magnitude is referred to as a vector quantity.
A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.
To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:
4u = 4(5,-2) = (20,-8)
Now, we can add u and v, and subtract 4u from the result:
u + v - 4u = (5,-2) + (-5,7) - (20,-8)
= (5 - 5 - 20, -2 + 7 + 8)
= (-20, 13)
Therefore, u + v - 4u = (-20, 13).
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A plumber charges $50 per hour plus $75 service fee. Jackson hired a plumber to fix a leaky sink. What are the total charges of the plumber took 3 1/2 hours to complete the repairs
Answer:
$250.
Step-by-step explanation:
We know that 1/2 as a number is 0.50 so \(3\frac{1}{2}\) is 3.50. Multiply \(3\frac{1}{2}\) by 50 (hourly fee) and you will get $175 for 3 1/2 hours of workAdd $175 and the $75 service fee and you will get $250 as your total. This is your answer.factor completely: x2 + 10x + 24 (5 points) Prime (x + 12)(x + 2) (x + 3)(x + 8) (x + 6)(x + 4)
Answer:
The complete factored form of the equation is (x + 6)(x + 4).
Step-by-step explanation:
The first step in factoring this quadratic equation is to multiply the first term by the last term. Our first term is x² and our last terms is 24. Since x² does not have a coefficient, then we assume this number to be 1.
1 × 24 = 24
The next step is to find two factors that multiply together to get 24 and adds together to get our middle term which is 10.
Two factors that best show this is 4 and 6. So, let's plug them into our equation. Replace 10x with 4x + 6x.
x² + 4x + 6x + 24
Now, we group our first two terms together and our last two terms together.
(x² + 4x) + (6x + 24)
Next, we take the greatest common factor of each parentheses and factor them.
x(x + 4) + 6(x + 4)
Lastly, we factor the equation. You can know that you have factored the equation correctly when you have the same term in both parentheses.
So, the complete factor of the equation is (x + 6)(x + 4).
simplify (1+tan^2x)/(tan^2x)
[?]^2x
Answer:
1+tan2x=sec2x.
Explanation: Change to sines and cosines then simplify.
simplify (25-4)3^ times 5
Answer:
46305
Step-by-step explanation:
Multiple Choice
Use the diagram below to answer questions 1–3.
Which angle is congruent to angle 1?
A. angle2
B. angle5
C. angle6
D. angle7
I WILL GIVE THE BRAINIEST
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an
Now let a be the number of students who went on the trip and s9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
How to write an equation to determine the number of students that went on this trip?In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;
Let the variable s represent the number of students who went on the trip.Let the expression s + 9 represent the original number of students who had planned to go on the trip.Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;
\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
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Complete Question:
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.
Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
Please help with this pls
Answer:
Step-by-step explanation:
its c
number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does it take the size of the sample to double ? growth rato parameter of 48% per hour
Answer:
It takes 1.77 hours for the population to double.
Step-by-step explanation:
Equation for population growth:
The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:
\(P(t) = P(0)(1+r)^t\)
Growth rato parameter of 48% per hour
This means that \(r = 0.48\). So
\(P(t) = P(0)(1+r)^t\)
\(P(t) = P(0)(1+0.48)^t\)
\(P(t) = P(0)(1.48)^t\)
How many hours does it take the size of the sample to double?
This is t for which P(t) = 2P(0). So
\(P(t) = P(0)(1.48)^t\)
\(2P(0) = P(0)(1.48)^t\)
\((1.48)^t = 2\)
\(\log{(1.48)^t} = \log{2}\)
\(t\log{1.48} = \log{2}\)
\(t = \frac{\log{2}}{\log{1.48}}\)
\(t = 1.77\)
It takes 1.77 hours for the population to double.
find the quotient : 6x/(3x+15) divided by (x^2+2x)/ (x^2+7x+10)
The quotient of\((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10))\) is 2x.
To simplify the expression\((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10)),\) we can use the rule for dividing fractions, which states that dividing by a fraction is the same as multiplying by its reciprocal.
Let's simplify the expression :
Simplify the numerator and denominator of the first fraction.
The numerator is 6x, and the denominator is (3x+15).
We can factor out a common factor of 3 from the denominator, which gives us 3(x+5).
So the first fraction simplifies to 6x / 3(x+5).
Simplify the numerator and denominator of the second fraction.
The numerator is (x^2+2x), and the denominator is \((x^2+7x+10).\)
We can factor both the numerator and denominator:
Numerator: x(x+2)
Denominator: (x+5)(x+2)
Canceling out the common factor of (x+2), we are left with x / (x+5).
Multiply the two simplified fractions.
Multiplying the fractions, we get:
\((6x / 3(x+5)) \times (x / (x+5))\)
Simplify the resulting expression.
Canceling out the common factor of (x+5) in the numerator and denominator, we are left with:
2x / 1
So the quotient simplifies to 2x.
Therefore, the quotient of \((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10))\) is 2x.
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