Answer: i think the overall shape of a baseball bat would be more rectangular
Step-by-step explanation:
reason for thinking so: because a baseball bat depending on size, would normally fit into a rectangular box
The table shows ordered pairs of the function y=8-2x. Whta is the value of y when x =8?
Answer:24
Step-by-step explanation:
if x = 8 that mean 2 times 8 which makes 16 and added up to another 8 would be 24 so y=24
What is the equation of the line that passes through the point (-6,8) and has a slope of -5/3? Please show step by step solution,
Answer:
The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We have the point (-6,8) and a slope of -5/3.
Step 1: Use the point-slope formula to find the equation of the line in point-slope form.
y - y1 = m(x - x1)
where x1 and y1 are the coordinates of the given point.
y - 8 = (-5/3)(x - (-6))
Simplify this equation:
y - 8 = (-5/3)(x + 6)
Step 2: Convert the equation to slope-intercept form.
Distribute (-5/3) to get:
y - 8 = (-5/3)x - 10
Add 8 to both sides:
y = (-5/3)x - 2
This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.
If you are not knowledgeable in college algebra please let me know so I can move on more quickly. Thanks in advance!
Given polynomial is
\(3x^5-4x^4-5x^3-8x+25\)We have to check whether the polynomial x-2 is a factor.
If x-2 is a factor then x = 2 is a root of the given polynomial.
Substitute x = 2 in the given polynomial,
\(\begin{gathered} 3.2^5-4.2^4-5.2^3-8.2+25=96^{}-64-40-16+25 \\ =121-120=1 \end{gathered}\)Hence 2 is not a root of given polynomial.
And so x - 2 is not a factor.
At the gym, Alex spends 24 minutes doing
resistance training for every 30 minutes
spent doing cardio exercises, Carisa spends
15 minutes on resistance for every
20 minutes on cardio, and Manuel spends
14 minutes on resistance for every
15 minutes on cardio. Which person has the
greatest ratio of minutes spent on resistance
to minutes spent on cardio?
Answer:
Manuel has the greatest ration of minutes spent on resistance to minutes spent on cardio.
Step-by-step explanation:
Alex - 24:30 is simplified to 4:5 (decimal: 0.8)
Carisa - 15:20 is simplified to 3:4 (decimal: 0.75)
Manuel - 14:15 cannot be simplified - (decimal: 0.9333333333)
Manuel's ratio is greater than the others.
A castle under siege has enough food for 300 men for 90 days. (Level 6) After 40 days, 150 men have left the castle.
How long would the food last at the same rate of consumption?
Answer:
45 days
Step-by-step explanation:
300 men = 90 days
the percentage of food consumed by one man
= ( 90 / 300 ) * 100
= 30% = 0.3
After 40 days
150 men remain to consume at 30%
determine the number of days the remaining food will last ( x )
= x / 150 = 0.3
therefore ; X = 150 * 0.3 = 45 days
What percent of your budget of $3000 would your rent be if you pay $600 in rent?
if you only payed $600 in rent it would be r=2400
Dwight bought 4.5 pounds of produce this week. This is 22.5% of his total produce purchase for the month. How many pounds of produce does Dwight expect to purchase for the month?
Answer:
20 lbs
Step-by-step explanation:
If 4.5 = 22.5% then we need to find what 1% equals. We do this by dividing 4.5 by 22.5.
4.5/22.5 = 0.2
0.2 lbs = 1%
To get 100% multiply 1% by 100.
Whatever you do to one side you have to do to the other.
20 = 100%
He plans on buying 20 pounds of meat for the month.
Fred walked 20 miles in 8 days. If he continues walking at this rate, how many miles will he walk in 4 weeks? Be sure to set up a proportion to help you solve.
Answer:
70
Step-by-step explanation:
First, to find the constant rate divided 20 miles by 8 days.
20 ÷ 8 = 2.5
Then, we know that in one week there are seven days so we multiply 2.5 x 7
2.5 x 7 = 17.5
Lastly, multiply 17.5 times 4
17.5 x 4 = 70
MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!
Find X and QT. The shape is a Rhombus
Answer:
See below ~
Step-by-step explanation:
Sides of a rhombus are equal.
⇒ QT = TS
⇒ x² - 4x - 10 = 6x + 14
⇒ x² - 10x - 24 = 0
⇒ x² + 2x - 12x - 24 = 0
⇒ x (x + 2) - 12 (x + 2) = 0
⇒ (x + 2)(x - 12) = 0
⇒ x = -2 or x = 12
Substitute both values and see which gives a positive value for QT :
When x = -2 :
QT = (-2)² - 4(-2) - 10QT = 4 + 8 - 10QT = 2When x = 12 :
QT = (12)² - 4(12) - 10QT = 144 - 48 - 10QT = 86The 2 possible answers are :
x = -2, QT = 2x = 12, QT = 86A design was constructed by using two rectangles ABDC and A'B'C'D'. Rectangle A'B'C'D' is the result of a translation of rectangle ABDC. The table of translations is shown below. Find the coordinates of points B and D'. Rectangle ABDC A (2.4) Rectangle A'B'D C A' (3.1) B (-5.1) B C(2-1) D(-6,-1) D Find Coordinate B
The rectangle ABDC is translated to the rectangle A'B'D'C'
We are asked to find the missing coordinates of these rectangles.
A(2, 4) and A'(3, 1)
C(2, -1) and C'(3, -4)
If you notice the above coordinates you will see a pattern.
The x coordinate of the translated rectangle is 1 more than the original x coordinate. (2 + 1 = 3)
The y coordinate of the translated rectangle is 3 less than the original y coordinate. (4 - 3 = 1 and -1 - 3 = -4)
Similarly, we can find the coordinates of B by applying the reverse logic.
B'(-5, 1)
Subtract 1 from x coordinates and add 3 to the y coordinate.
B(-5 - 1, 1 + 3)
B(-6, 4)
We are given D(-6, -1) and we want to find the translated coordinates D'
Let us apply the pattern we found earlier.
D(-6, -1)
Add 1 to the x coordinate and subtract 3 to the y coordinate.
D'(-6 + 1, -1 - 3)
D'(-5, -4)
Therefore, the missing coordinates are
B(-6, 4)
D'(-5, -4)
Orignal to translated coordinates:
Add 1 to the x coordinate and subtract 3 to the y coordinate.
Translated to original coordinates:
Subtract 1 from x coordinates and add 3 to the y coordinate.
It is just long text .This is 8 grade . inequalities .I need just equitation .The rest I knew .
So short answer pls. Anybody
Thank you
My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.
How to explain the informationIn order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.
In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:
x y Total Profit
0 0 0
1 0 6
0 1 15
1 1 21
2 1 27
1 2 30
2 2 36
3 2 42
2 3 45
3 3 51
From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.
Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.
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Andrew is elder to Brian by 2 years. Andrew's father Frank is twiceas old as Andrew, and Brian is twice as old as his sister Sarah. If theages of Frank and Sarah differ by 40 years, then find the age ofAndrew.
Let "x" represent the age of Brian.
Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"
Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"
Sarah has half the age of Brian's, we can symbolize her age as "x/2"
Frank ans Sarah's ages differ by 40 years, we can symbolize this as:
\(2(x+2)-\frac{x}{2}=40\)Solve the term is parenthesis
\(\begin{gathered} 2x+4-\frac{1}{2}x=40 \\ 2x-\frac{1}{2}x+4=40 \\ \frac{3}{2}x=40-4 \\ \frac{3}{2}x=36 \\ x=24 \end{gathered}\)x=24 years
Andrew's age is
\(x+2=24+2=26\)Andrew is 26 years old
4(x - 4) + 2x -10 and what the answer
Answer:
Expression: 6x - 26. Equation: 3
Step-by-step explanation:
EXPRESSION
4x - 16 + 2x - 10
6x - 26
EQUATION 1
4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)
4x = 2x + 6
2x = 6
x = 3
EQUATION 2
4x - 16 + 2x = - 10
6x - 16= -10
6x = 6
x = 1
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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A cylinder open on both ends has a diameter of 10 decimeters(dm) and a height of 10 decimeters(dm). What is the
surface area of the cylinder?
314 dm ²
471 dm ²
628 dm ²
157dm2
the surface area of the cylinder is approximately 471 dm².
Now, For the surface area of the cylinder, we need to find the lateral area and the area of the two circular bases.
Since, The formula for the lateral area of a cylinder is
L = 2πrh,
where r is the radius of the cylinder and h is the height.
In this case, the diameter is 10 dm,
So the radius is 5 dm.
And the height is also 10 dm.
Therefore, the lateral area is:
L = 2πrh
L = 2π(5 dm)(10 dm)
L = 100π dm²
The formula for the area of a circle is
A = πr²,
where r is the radius.
In this case, the radius is 5 dm,
So the area of each base is:
A = πr²
A = π(5 dm)²
A = 25π dm²
To find the total surface area, we add the lateral area and the area of the two bases:
SA = 2(Area of Base) + Lateral Area
SA = 2(25π dm²) + 100π dm²
SA = 50π dm² + 100π dm²
SA = 150π dm²
Substitute pi as 3.14, we can calculate:
SA ≈ 150(3.14) dm²
SA ≈ 471 dm²
Therefore, the surface area of the cylinder is approximately 471 dm².
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Find an expression for the n-th term (t_(n)) in each sequence.
A). 1,(1)/(2),(1)/(3),(1)/(4),(1)/(5),(1)/(6),...
B). 3,9,15,21,27,....
Answer:
A) (1)/(7)
B) 33
Step-by-step explanation:
For (A), the sequence follows in 1 divided by numbers in a consecutive order, therefore after (1)/(6), the next term is (1)/(7)
For(B), the sequence follows in multiples of three but skips one in between
Example: Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36...
In the sequence, 6, 12, 18 and 24 are skipped, meaning that the next number to be skipped is 30, hence 33 is the next number in the sequence.
Because all the numbers in the sequence are odd numbers we can say that the sequence follows in odd consecutive numbers which are multiples of 3.
refer to exhibit 1-3. based on the data provided in this table, what type of relationship exists between variables x and y?
Based on the data provided in the table, an inverse relationship exists between variables x and y. (Option A)
An inverse relationship refers to a relationship between two variables that changes in opposite directions. In other words, an increase in one variable results in a decrease in the other variable and vice versa. An inverse relationship is represented in the form of y = k/x, where x and y are two variables and k is the constant value. Based on the data provided in the table, as the value of x increases, the value of y decreases by a constant value. Hence, the relationship that exists between variable x and y is inverse.
Note: The question is incomplete as it is missing options which are A) inverse B) direct C) independent d) there is no relationship between variable x and y.
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1x-2y=18, 4x+3y=-16 what is this answer
Answer:
y = -8
x = 2
Step-by-step explanation:
1x-2y=18 / *(-4)
4x+3y=-16
11y =-88
y=-8
4x = 8
x = 2
What would the set notation for the domain and range of the function, (-3, 6), (-2, -3), and (-1, 6)
Answer:
Domain: {-3, -2, -1}
Range: {-3, 6}
General Formulas and Concepts:
Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
Step 1: Define
(-3, 6)
(-2, -3)
(-1, 6)
Step 2: Identify x-values
x = -3, -2, -1
Step 3: Identify y-values
y = -3, 6, 6
Graph the linear equation f(x)- -1/4x
From the given question
There are given that the equation:
\(f(x)=-\frac{1}{4}x\)Now,
First, make a table of x and f(x)
Then,
\(\begin{gathered} x\rightarrow f(x) \\ 0\rightarrow0 \\ 1\rightarrow-0.25 \\ 2\rightarrow-0.5 \\ 3\rightarrow-0.75 \end{gathered}\)So,
According to the above value, the graph of the function is shown below:
A single serving of hot chocolate requires 0.75 cups of milk. Nina used 7 cups of milk to make hot chocolate for her 9 friends. Did she make enough for each friend to get a serving of hot chocolate?
Answer:
nik
Step-by-step explanation:
Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?
Select one:
A. 28
B. 34
C. 43
D. 56
Answer:
A. 28
Step-by-step explanation:
A. 28
step 1.
We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.
step 2.
Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.
step 3.
Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.
!! PLEASE HELP !!
What is the expression in radical form?
(3p^3q)3/4
Answer:
A
Step-by-step explanation:
Recall that if we are given fractional exponents, we can use the following property:
\(\displaystyle x^{ {}^{a}\!/\! {}_{b}} = \sqrt[b]{x^a}\)
We are given the expression:
\(\displaystyle (3p^3q)^{ {}^{3}\!/\! {}_{4} }\)
Use the above property, this yields:
\(=\sqrt[4]{(3p^3q)^3}\)
Using the power of a power property, we can simplify this to:
\(=\sqrt[4]{(3^3)(p^3)^3(q)^3}\)
Simplify:
\(=\sqrt[4]{27p^9q^3}\)
In conclusion, our answer is A.
Find the minimum sample size n needed to estimate for the given values of c, , and E. c, , and E Assume that a preliminary sample has at least 30 members.
Answer:
hello your question is incomplete below is the complete question
Find the minimum sample size n needed to estimate μ For the given values of c, σ, and E. c=0.98, σ=6.5, and E=22 Assume that a preliminary sample has at least 30 members.
Answer : 48
Step-by-step explanation:
Given data:
E = 2.2,
std ( σ ) = 6.5
c ( level of confidence ) = 0.98
To find the minimum sample size
we have to first obtain the value of \(Z_{a/2}\)
note : a can be found using this relation :
( 1 - a ) = 0.98 ----- equation 1
a = 1 - 0.98 = 0.02
hence: a/2 = 0.01
This means that P( Z ≤ z ) = 0.99 the value of z can be found using the table of standard normal distribution. from the table the value of z = 2.33
P( Z ≤ 2.33 ) = 0.99
To obtain the sample size n
\(n = (\frac{std*z}{E} )^{2}\)
n = \((\frac{6.5*2.33}{2.2} )^2\) = (6.88409)^2
Therefore n ≈ 48
Is the graph of g(x) =x2 - 1
symmetric with respect to the origin? Explain how you determined your answer.
6-
5-
1 -
3-
S
2
7 T
1
0
1
1
1
2
3
1
4.
T
S
T
6
7
8
9
(a) Describe fully the single transformation that maps triangle S onto triangle T.
Answer:
c=45 +679 =6y=8h
Step-by-step explanation:
What does 64.5% as a decimal equal?
Answer:
0.645
Step-by-step explanation:
since a percent is out of 100, it could also be written a 64.5/100,
then converting a fraction into a decimal is jus dividing the two equaling to 0.645
When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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1. The demand of calculators when its price per unit is Rs 1200,is Rs 4000. When the price increases to Rs 1500, only 3000 calculators are demanded. a.Find the demand equation in the form of p = f(Q)
b.Obtain the number of calculations demanded when the price per unit calculators is Rs 1650
c. If 4500 calculations are demanded, what should be the price per unit of calculator?
a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33
b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.
c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.
To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.
Let's use the two data points provided:
Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000
Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000
First, we calculate the slope of the demand equation using the formula:
Slope = (Q2 - Q1) / (p2 - p1)
Substituting the values, we get:
Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3
Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:
p1 = Rs 1200, Q1 = 4000
Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:
b = y - mx
b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33
Therefore, the demand equation in the form of p = f(Q) is:
p = -10/3Q + 14533.33
To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:
1650 = -10/3Q + 14533.33
-10/3Q = 1650 - 14533.33
-10/3Q = -12883.33
Q = (-12883.33) / (-10/3)
Q = 12883.33 * 3/10
Q ≈ 3865
Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.
Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:
4500 = -10/3Q + 14533.33
-10/3Q = 4500 - 14533.33
-10/3Q = -10033.33
Q = (-10033.33) / (-10/3)
Q = 10033.33 * 3/10
Q ≈ 3010
Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.
By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.
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