Can anybody please help me ?
1 The average salary for a professional baseball player in the United States can be approximated by = 283(1.2)^t where t=0 represents the year 1984. Using this approximation, find the ratio of an average salary in 1988 to the average salary in 1994.
2 Find and correct the error(s) in the problem below. Explain your correction(s).
x^-9/x^-3=x^-9-3
=x^-12
=1/x^-12
Answers
Here the answer is in this picture
Answer:
1. Ratio is 1 : 3
Step-by-step explanation:
1. The average salary for a professional baseball player in the United States can be approximated by = [tex]283(1.2)^{t}[/tex]
Where t = 0 represents the year 1984.
Salary in year 1988 = [tex]283(1.2)^{4}[/tex] [t = 4 years]
Salary in year 1994 = [tex]283(1.2)^{10}[/tex] [t = 10 years]
Ratio of the average salary in 1988 to the average salary in 1994 = [tex]\frac{283(1.2)^{4}}{283(1.2)^{10}}=\frac{(1.2)^{4}}{(1.2)^{10}}[/tex]
= [tex]\frac{1}{(1.2)^{10-4}}=\frac{1}{(1.2)^{6}}[/tex]
= [tex]\frac{1}{3}[/tex]
2. Corrected form
[tex]\frac{x^{-9} }{x^{-3}}[/tex]
= [tex]x^{-9+3}[/tex][since [tex]\frac{a^{1}}{a^{1}}=a^{1-1}=a^{0}=1[/tex]]
= [tex]x^{-6}[/tex]
= [tex]\frac{1}{x^{6}}[/tex] [ since [tex]\frac{1}{a^{1}}=a^{-1}[/tex] ]
Now we can compare the corrections and errors in the highlighted form.
Expression needs correction
[tex]\frac{x^{-9} }{x^{-3}}[/tex]
= [tex]x^{-9-3}[/tex]
= [tex]x^{-12}[/tex]
= [tex]\frac{1}{x^{-12}}[/tex]
Related Questions
which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help fast!!!!!!!!
Answers
Answer:
The correct choices are; B,C,E, and F.
Step-by-step explanation:
The given equation is;
[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]
We solve for m to obtain:
[tex]m=-\frac{7}{4}-\frac{3}{4}=-2.5[/tex]
We also solve the remaining equations to see which ones give the same result.
A: [tex]m=\frac{10}{4} =2.5[/tex]
B:[tex]m=-\frac{10}{4} =-2.5[/tex]
C:[tex]m=-\frac{5}{2} =-2.5[/tex]
D: [tex]\frac{11}{4}+m=-\frac{1}{4}[/tex]
[tex]m=-\frac{1}{4}-\frac{11}{4}=-3[/tex]
E: [tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]
[tex]m=-\frac{15}{4}+\frac{5}{4}=-2.5[/tex]
F: [tex]m+2=-0.5[/tex]
[tex]m=-0.5-2=-2.5[/tex]
The equivalent equations are; B,C,E, and F.
Answer:
[tex]m=-\frac{10}{4}[/tex]
[tex]m=-\frac{5}{2}[/tex]
[tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]
[tex]m+2=-0.5[/tex]
Step-by-step explanation:
Given equation,
[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]
[tex]\implies m = -\frac{7}{4}-\frac{3}{4}=\frac{-7-3}{4}=-\frac{10}{4}=-\frac{5}{2}[/tex],
Since, [tex]\frac{10}{4}\neq -\frac{5}{2}[/tex]
[tex]\frac{11}{4}+m = -\frac{1}{4}[/tex]
[tex]\implies m = -\frac{1}{4}-\frac{11}{4}=\frac{-1-11}{4}=-\frac{12}{4}=-3\neq -\frac{5}{2}[/tex]
[tex]-\frac{5}{4}+m=-\frac{15}{4}\implies m = -\frac{15}{4}+\frac{5}{4}=\frac{-15+5}{4}=-\frac{10}{4}[/tex]
[tex]m+2=-0.5\implies m = -0.5-2\implies m = -2.5=-\frac{5}{2}[/tex]
Is urgent and will mark brainliest.
What is √33?
Place a dot on the number line at the best approximation.
Please and Thank you!!
Answers
Answer:
≈ 5.7
Explanation:
Place the dot at the 7th notch after 5
Hope this helps! :)
~ 5.74 place the dot 3 lines before the 6
If the dimensions of a rectangular garden can be represented by (2x+11) and (3x+5), then what is the area of the garden?
Answers
Answer: 6x^2+43x+55
Area=L*W
Area=(2x+11)(3x+5)=x^2+33x+10x+55
Area=6x^2+43x+55
Answer:
the area of the garden would be 6x^+43x+55
If two angles of one triangle are congruent to two angles of another triangle, then the _____ are congruent.
Answers
Answer:
TRIANGLES
Step-by-step explanation:
What is the measure of each interior angle of a regular polygon with 5 sides?
Answers
ANSWER
108°
EXPLANATION
The measure of each interior angle of a regular polygon is given by
[tex] \theta = \frac{(n - 2) \times 180}{n} [/tex]
where n refers to the number of sides of the polygon.
From the question we have n=5 in this case.
We substitute to obtain;
[tex]\theta = \frac{(5 - 2) \times 180}{5} [/tex]
[tex]\theta = \frac{3\times 36}{1} [/tex]
This simplifies to:
[tex]\theta = 108 \degree[/tex]
Hence each interior angles of a regular polygon with 5 - sides is 108°
how to solve for X
4/X=12/7.5
Answers
Answer:
x = 2.5
Step-by-step explanation:
Given
[tex]\frac{4}{x}[/tex] = [tex]\frac{12}{7.5}[/tex] = 1.6
Multiply both sides by x
4 = 1.6x ( divide both sides by 1.6 ), hence
x = 2.5
Find the measure of CD. Round to the nearest tenth.
PLEASE HELP!!
Answers
The measure of arc CD is 88.8°
In circle geometry , there are certain theorems that guides the solving of problem involving circles.
Some of the theorems are ;
angle at the center is twice angle at the circumference.
The measure of arc is the measure of angle substended at the centre.
Using trigonometric ratio to get the angle at the center.
sinX = 6.35/9.06
sinX = 0.70
X = 44.4°
angle at the centre = 2 × 44.4
= 88.8°
Therefore, arc CD is 88.8°
I am a two dimensional shape that has less than 4 sides. All of my sides are straight. What shape am I.
Answers
Rhombus.? I think? I'm not sure
help!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
64π
Step-by-step explanation:
8²·π = 64π
ANSWER
201.06 square units.
EXPLANATION
The area of a circle is calculated using the formula,
[tex]Area = \pi \: {r}^{2} [/tex]
The given circle has radius, r=8 units.
We substitute the radius into the formula to obtain:
[tex]Area = \pi \times {8}^{2} [/tex]
The exact area is 64π square units.
When we substitute π=3.14, we get,
Area=201.06 units square.
Please just help me
Answers
Answer:
We can see here that the two sides of both triangle are equal to each other, therefore both triangles are isosceles triangles.
And also the two chords are parallel to each other, which let us know that:
b° = 40°
We also proved that that triangle is an isosceles triangle so:
b° = c° = 40°
Which makes it possible to calculate d°:
b° + c° + d° = 180°
40° + 40° + d° = 180°
d° = 180° - 40° - 40°
d° = 100°
Not sure if my thinking process make sense, but I'm quite sure about the answers.
Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629
Answers
To find the missing value, divide two consecutive y-values to determine the constant factor. Multiply the last given value by the factor to obtain the missing value.
Explanation:To find the missing value for the exponential function represented by the given table, we need to observe the pattern of the function.
The given pattern is:
x -2 -1 0 1 2
y 29 20.3 14.21 6.9629
In this case, we can see that each value of y is obtained by multiplying the previous value by a constant factor.
To determine this factor, we can divide any two consecutive y-values.
For example, dividing 14.21 by 20.3 gives us approximately 0.6988.
So, the missing value can be found by multiplying the last given y-value (6.9629) by this factor.
Hence, the missing value is approximately 4.8616.
anwser asap 50 points
What are the dimensions of the matrix?
[1 0 7 -5 9 ]
[-2 3 10 8 5]
Enter your answers in the boxes.
The matrix is a
×
matrix.
Answers
Answer:
[1, 5]
Step-by-step explanation:
Here I see ONE row and FIVE columns, so the dimensions are [1, 5].
Answer: 2,5
Step-by-step explanation:
What percent of 700 is 14 ?
Answers
Answer:
2%
Step-by-step explanation:
We are to find out what percentage of 700 is 14.
Assuming [tex] x [/tex] to be the percent of 700 which is 14, we can write it as:
[tex] \frac { x } { 100 } \times 700 = 14 [/tex]
[tex] \frac { x } {100} = \frac {14} {700} [/tex]
[tex] \frac { x } { 1 0 0 } = 0.02 [/tex]
[tex]x=0.02 \times 100[/tex]
[tex]x=2[/tex]
Therefore, 14 is 2% of 700.
1. A transformation is an operation that ________, or moves, a preimage (original) onto an image.
A. traces
B. maps
C. copies
D. images
2. Which term describes the number of times a wave is translated in one second?
A. period
B. amplitude
C. sine
D. frequency
3. A shoe box has a volume of 64 cubic inches and a surface area of 160 square inches. What is the surface area of a similar shoe box if its volume is only 27 cubic inches? Show your work or explain how you got your answer.
Answers
Have you found out the answer
1. A transformation is an operation that traces or moves, a preimage (original) onto an image.
2.The term describes the number of times a wave is translated in one second is frequency.
What is transformation and frequency?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Frequency is defines as the number of times a wave is translated in one second.
To know more about transformation follow
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What is the value of X?
Answers
Answer:
I think B. 10 2/3
Step-by-step explanation:
I haven't learned this yet but out of experience i think this is how you solve it. Find out the ratio of 18 to 8 by dividing 18/8 to get 2.25. then multiply this by 24 to get 10.66 repeated which equals to 10 and 2/3.
Questions 16-17 | Math 1 - 0 points Solve the graph Help needed !!
Answers
Answer:
16) The area of the circle is 25.1 units²
17) JKLM is a parallelogram but not a rectangle
Step-by-step explanation:
16) Lets talk about the area of the circle
- To find the area of the circle you must find the length of the radius
- In the problem you have the center of the circle and a point on
the circle, so you can find the length of the radius by using the
distance rule
* Lets solve the problem
∵ The center of the circle is (1 , 3)
∵ The point on the circle is (3 , 5)
- Using the rule of the distance between two points
* Lets revise it
- The distance between the two points (x1 , y1) and (x2 , y2) is:
Distance = √[(x2 - x1)² + (y2 - y1)²]
∴ r = √[(3 - 1)² + (5 - 3)²] = √[4 + 4] = √8 = 2√2 units
∵ The area of the circle = πr²
∴ The area of the circle = π (2√2)² = 8π = 25.1 units²
* The area of the circle is 25.1 units²
17) To prove a quadrilateral is a parallelogram, prove that every
to sides are parallel or equal or the two diagonal bisect
each other
* The parallelogram can be rectangle if two adjacent sides are
perpendicular to each other (measure of angle between them is 90°)
or its diagonals are equal in length
- The parallel lines have equal slopes, then to prove the
quadrilateral is a parallelogram, we will find the slopes of
each opposite sides
* Lets find from the graph the vertices of the quadrilateral
∵ J = (0 ,2) , K (2 , 5) , L (5 , 0) , M (3 , -3)
- The opposite sides are JK , ML and JM , KL
- The slope of any line passing through point (x1 , y1) and (x2 , y2) is
m = (y2 - y1)/(x2 - x1)
∵ The slop of JK = (5 - 2)/(2 - 0) = 3/2 ⇒ (1)
∵ The slope of LM = (-3 - 0)/(3 - 5)= -3/-2 = 3/2 ⇒ (2)
- From (1) and (2)
∴ JK // LM
∵ The slope of KL = (0 - 5)/(5 - 2) = -5/3 ⇒ (3)
∵ The slope of JM = (-3 - 2)/(3 - 0)= -5/3 ⇒ (4)
- From (3) and (4)
∴ KL // JM
∵ Each two opposite sides are parallel in the quadrilateral JKLM
∴ It is a parallelogram
- The product of the slopes of the perpendicular line is -1
* lets check the slopes of two adjacent sides in the JKLM
∵ The slope of JK = 3/2 and the slope of KL = -5/3
∵ 3/2 × -5/3 = -5/2 ≠ -1
∴ JKLM is a parallelogram but not a rectangle
Please help!!!!
How many more pieces of mail were handled by the United States postal service in 1995 than in 1965? Express your answer in scientific notation.
Answers
Answer:
1.08×10^11
Step-by-step explanation:
1.08 times 10 to the power of 11
The number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]
What is exponents and powers?Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.
In 1995 : 1.8 * [tex]10^{11 }[/tex]
In 1965: 7.2 * [tex]10^{10 }[/tex]
So, the difference will be
= 1.8 * [tex]10^{11 }[/tex] - 7.2 * [tex]10^{10 }[/tex]
= 1.8 * [tex]10^{10}*10[/tex] - 7.2 * [tex]10^{10 }[/tex]
=18 * [tex]10^{10 }[/tex] - 7.2 * [tex]10^{10 }[/tex]
= (18-7.2) * [tex]10^{10 }[/tex]
=10.8 * [tex]10^{10 }[/tex]
= 1.08 * [tex]10^{11}[/tex]
Hence, the number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]
Learn more about this concept here:
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a home owner has 5 zucchini plants in her garden. Over the course of the season, the yields( number of zucchini’s per plant) are:
Answers
Answer:
5 zucchini plants
Step-by-step explanation:
Answer: the answer will be 5(x)=x
What is the solution to the equation?
x – 19 = 1
Answers
Answer:
x=20
Step-by-step explanation:
you first got to get x by itself so + 19 on each side of the equal signs which gets rid of the -19 on the left side of the equal and it adds 19 on the right side of the equal making the answer x=20
The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
x – 19 = 1
The degree of the equation is one. Then the equation is a linear equation. Simplify the equation, then we have
x – 19 = 1
x = 1 + 19
x = 20
The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.
More about the solution of the equation link is given below.
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can someone show me how to do this step by step? it deals with area, and i'm not very good at math in general. thank you!!
Answers
The area of a circle when you know the radius is found using the formula Area = PI x r^2
The small circle has a radius of 7 inches.
The area of the small circle is 3.14 x 7^2 = 3.14 x 49 = 153.86 square inches.
Using the circumference of a circle use the formula Area = C^2 / 4*PI
Area of larger circle = 113.097^2 / 4 *3.14 = 12790.93141 / 12.56 = 1018.39 square inches.
Now to find the blue area subtract the area of the smaller circle from the larger one:
1018.39 - 153.86 = 864.53 square inches.
CAN ANYONE HELP ME ANSWER THIS PLEASE
Answers
Answer:
3/10 * 3/10 = 9/100
Step-by-step explanation:
First chance to draw pink is 3 out of 10. replace the marble then I have another 3 out of 10 chance.
You ride an express bus from the center of town to your street. You have two payment options. Option a is to buy a monthly pass and pay $2 per ride. Option b is to pay $4.50 per ride. A monthly pass costs $50. After how many rides will the total costs of the two options be the same ? Write a system of equations in order to solve this problem.
Answers
Answer:
I think the answer is 12 rides
Final answer:
After setting up a system of equations with Option A as C = 50 + 2x and Option B as C = 4.5x, we find that after 20 rides, the total costs for both options are the same.
Explanation:
To determine after how many rides the total costs of the two payment options will be the same for the express bus from the center of town, we can set up a system of equations. Option A includes a monthly pass costing $50 plus $2 per ride, and Option B is a flat rate of $4.50 per ride.
Let's define x to be the number of rides. Then for Option A, the cost will be $50 (monthly pass) plus $2 multiplied by x, which can be expressed as the equation C = 50 + 2x. For Option B, the cost is simply $4.50 multiplied by x, which can be written as C = 4.5x.
To find out after how many rides the costs are the same, we set the equations equal to each other: 50 + 2x = 4.5x. Solving for x, we get x = 20. After 20 rides, the total costs for both options A and B will be the same.
find the slope of the line that passes through the points (0,0) and (-2,-3)
Answers
[tex]
s=\frac{\Delta{y}}{\Delta{x}}=\frac{-3-0}{-2-0}=\boxed{\frac{3}{2}}
[/tex]
Hope this helps.
r3t40
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Where:
[tex](x_ {1}, y_ {1})\\(x_ {2}, y_ {2})[/tex]
They are two points through which the line passes.
We have as data that:
[tex](x_ {1}, y_ {1}) :( 0,0)\\(x_ {2}, y_ {2}): (- 2, -3)[/tex]
Substituting:
[tex]m = \frac {-3-0} {- 2-0}\\m = \frac {-3} {- 2}\\m = \frac {3} {2}[/tex]
Thus, the slope of the line is [tex]\frac {3} {2}[/tex]
Answer :
[tex]m = \frac {3} {2}[/tex]
What is (-6-4)divided by(-5)=
Answers
= -2? i dont really know either
Answer: 2
Step-by-step explanation:
-6-4=-10 -10/-5=2
The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?
Answers
Answer:
[tex]\large\boxed{V=2304\pi}[/tex]
Step-by-step explanation:
The formula of a surface area of a sphere:
[tex]S.A.=4\pi R^2[/tex]
R - radius
We have
[tex]S.A.=576\pi[/tex]
Substitute and solve for R:
[tex]4\pi R^2=576\pi[/tex] divide both sides by π
[tex]4R^2=576[/tex] divide both sides by 4
[tex]R^2=144\to R=\sqrt{144}\\\\R=12[/tex]
The formula of a volume of a sphere:
[tex]V+\dfrac{4}{3}\pi R^3[/tex]
Substitute:
[tex]V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi[/tex]
Which expression is equivalent for this
Answers
Answer: Option A
Step-by-step explanation:
Remember that
[tex]+ * - = -\\- * + = -\\+ * + = +\\- * - = +\\[/tex]
We have the expression
[tex]\frac{1}{2}x + (-7)-2*\frac{1}{4}-(-2)[/tex]
Solve first the multiplication of signs
[tex]\frac{1}{2}x + (-7)-2\frac{1}{4}x-(-2)\\\\\frac{1}{2}x -7-2\frac{1}{4}x+2\ \ \ \ \ \ \ \ Note:\ 2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}\\\\\frac{1}{2}x -\frac{9}{4}x-7+2\ \ \ \ \ \ \ \ Note:\ \frac{1}{2}-\frac{9}{4}=-\frac{7}{4}=-1\frac{3}{4}\\\\-1\frac{3}{4}x -5[/tex]
75 POINTS!!!!!!!HELP ASAP WILL GIVE BRAINLIEST PLS BE FAST! What is the value of 3^2/3^4 ? A. 1/81 B. 1/27 C. 1/9 D. 1/3
Answers
Answer: the answer is 1/9
Step-by-step explanation:
Answer:
1/9
Step-by-step explanation:
3²/3⁴ = 3²⁻⁴ = 3⁻² = 1/3² = 1/9
according to the rule of indices
Find the domain of the graph function.
Answers
The domain is the set of feasible inputs, i.e. the x-coordinates in which you can evaluate the function.
We can see that this function is defined only for x values between -1 and 3 (included), so this is your domain.
Answer:
C. [tex]-1\leq x\leq 3[/tex].
Step-by-step explanation:
We have been given graph of a function. We are asked to find the domain of our given function.
We know that domain of a function is all values of x for which our given function is defined.
We can see that our given function is defined for values of x that are greater than or equal to [tex]-1[/tex] and less than or equal to 3.
Therefore, the domain of our given function would be [tex]-1\leq x\leq 3[/tex] and option C is the correct choice.
What is the product of d – 9 and 2d2 + 11d – 4?
Answers
Answer:
[tex]2d^3-7d^2-103d+36[/tex]
Step-by-step explanation:
The given expressions are (d-9) and [tex]2d^2+11d-4[/tex].
Their product is given by:
[tex](d-9)(2d^2+11d-4)[/tex]
We expand using the distributive property to obtain;
[tex]d(2d^2+11d-4)-9(2d^2+11d-4)[/tex]
[tex]2d^3+11d^2-4d-18d^2-99d+36[/tex]
We group similar terms to get;
[tex]2d^3+11d^2-18d^2-4d-99d+36[/tex]
We combine the similar terms to get:
[tex]2d^3-7d^2-103d+36[/tex]
Can someone please help me find DC?
Answers
[tex]\bf \stackrel{\measuredangle A}{(5x-14)}+\stackrel{\measuredangle D}{(4x+5)}=\stackrel{\textit{linear angles}}{180}\implies 9x-9=180 \\\\\\ 9x=171\implies x=\cfrac{171}{9}\implies x=19 \\\\[-0.35em] ~\dotfill\\\\ \overline{DC}\implies -2x+54\implies -2(19)+54\implies -38+54\implies 16[/tex]
Answer:
DC = 12
Step-by-step explanation:
In a parallelogram consecutive angles are supplementary, that is
∠DAB and ∠ADC are consecutive and supplementary, thus
5x - 14 + 4x + 5 = 180
9x - 9 = 180 ( add 9 to both sides )
9x = 189 ( divide both sides by 9 )
x = 21
Hence
DC = - 2x + 54 = (- 2 × 21) + 54 = - 42 + 54 = 12