shooting percentage: 0.425 (decimal)
To express in percentage:
0.425 x 100 = 42.5%
(3) He made 42.5% of the baskets he attempted.
And also
17/40 = 0.425
(4) He made 17 out of every 40 baskets he attempted
Help I'm terrible at math
What is the solution to this inequality?
7−14x>3
Answer:
I think the answer is x<2/7
Step-by-step explanation:
That's what i got.
Answer:
Step-by-step explanation:
x<2/7
Please help!
2|x-1| >2
5
Answer: 6, -4
Step-by-step explanation:
[tex]\frac{2}{5}|x-1| \geq 2\\\\|x-1| \geq 5\\\\x-1 \leq -5, x-1 \geq 5\\\\x \leq -4, x \geq 6[/tex]
Robert finds some nickels and pennies in his change purse. How many
coins does he have if he has 110 nickels and 130 pennies? How many
coins does he have if he has n nickels and p pennies?
Total coins, 110 nickels and 130
pennies:
Total coins, n nickels and p pennies:
Pls answer fast
Answer:
Step-by-step explanation:
If coins 110 plus 130 will give you 240 coins
If actual money 110 times 5 will give you 550 plus 130 will give you 680 or 6 dollars and 80 cents.
N times 5 plus p will be your equation
what the meaning of geometric sequence?
Answer:
What is the meaning of geometric sequence?
Step-by-step explanation:
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. Its general term is. a n= a 1 r n – 1. The value r is called the common ratio. It is found by taking any term in the sequence and dividing it by its preceding term.
Answer:
Below.
Step-by-step explanation:
It is a sequence of numbers with a common ratio. That is, each term after the first is obtained by multiplying the previous one by the common ratio.
Examples:
2, 6, 18, 54 ... is a geometrics sequence with common ratio 3.
1, 1/2, 1/4, 1/8 ... has a common ratio of 1/2.
-1, 1, -1, 1, -1 ... has a common ratio of -1.
The nth term of a geometric sequence is given by
a r^(n-1) where a = first term and r = common ratio.
how do you factor the polynomial expression 16y4-625x4
We have the following:
[tex]16y^4-625x^4[/tex]factoring:
[tex]\begin{gathered} (4y^2)^2-(25x^2)^2=\mleft(4y^2+25x^2\mright)\mleft(4y^2-25x^2\mright)=(4y^2+25x^2)\mleft(2y+5x\mright)\mleft(2y-5x\mright) \\ \end{gathered}[/tex]Therefore, the answer is:
[tex]\mleft(4y^2+25x^2\mright)\mleft(2y+5x\mright)\mleft(2y-5x\mright)[/tex]Two angles are complementary. One angle is 4° less than four times the other angle. Find the measures of the angles.
Answer:
one of the angles is 48 degrees the other is 42 degrees
Step-by-step explanation:
Complementary is 90
45 + 45 = 90
48 +42=90
9. What is the value of x?
Answer:
A, 61.
Step-by-step explanation:
(2x+24). If we sub in 61 for x, we get (2(61)+24). Follow order of operations.
2 times 61= 122. Add 24 and you get 146. We can know this is correct because we are given the other angle and it's degrees, whch is also 146 degrees. Therefore, the answer is A, 61.
It costs $2.50 to rent bowling shoes. Each game $2.25. Write an equation that represents the cost, c, to bowl after g, number of games
In linear equation, $9.25, you can bowl a maximum of 3 games.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x). The dependent variable in this scenario is y since it depends on the independent variable, x.If it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as
C = 2.50 + 2.50x
If you have a total of $9.25, then
9.25 = 2.50 + 2.25x
Subtracting 2.50 from both sides of the equation, we get
9.25 - 2.50 = 2.50 + 2.25x - 2.25
6.75 = 2.25x
Dividing both sides of the equation by 2.25, we get
6.75/2.25 = 2.25x/2.25
x = 3
Therefore, with $9.25, you can bowl a maximum of 3 games.
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Perimeter and area polynomials
The combined perimeter of
2b (14y - 12)
2c (18y + 4)
2d (14y - 16), is
[tex]P=14y-12+18y+4+14y-16[/tex]Add the like terms
[tex]\begin{gathered} P=(14y+18y+14y)+(-12+4-16) \\ \\ P=46y+(-24) \\ \\ P=46y-24 \end{gathered}[/tex]The combined perimeter is (46y - 24)
The combined area of
1b (10y^2 - 27y +5)
1c (20y^2 + 11y - 3)
1d (12y^2 -24y), is
[tex]A=10y^2-27y+5+20y^2+11y-3+12y^2-24y[/tex]Add the like terms
[tex]\begin{gathered} A=(10y^2+20y^2+12y^2)+(-27y+11y-24y)+(5-3) \\ \\ A=42y^2+(-40y)+2 \\ \\ A=42y^2-40y+2 \end{gathered}[/tex]The combined area is (42y^2 - 40y + 2)
6. If f(x) = x2 - 1, which of the following is equal to g(x) = f(x - 3)?
A.g(x) = x/ +8
B.g(x) = x2 + 6x+8
C.g(x)= x2 - 6x + 8
D.g(x) = x2 + 6x- 10
( x - 2) ( x - 4 ) is function which is equal to g(x) .
In the simplest terms, what is a function?
As a set of inputs with one output for each, a function is defined as a relationship between them. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.f(x) = x² - 1
f( x - 3 ) = ( x - 3 )² - 1
= x² + 9 - 6x -1
= x² -6x + 8
= x² -4x -2x + 8
= x( x - 4 ) -2( x - 4)
= ( x - 2) ( x - 4 )
g(x) = f(x - 3)
= ( x - 2) ( x - 4 )
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triangle RST had coordinates: R(-2, 1) S(-8, 2) T(-4, 5) Draw the translation of RST 8 units right and 4 units down on your recording sheet. what are 3 coordinates of R'A. R'(-3, 6)B. R'(0, -2) C. R'(6, -3) D. R'(4, 1)
Since the translation is 8 units right and 4 units down, we have to add 8 to the x coordinate and subtract 4 to the y coordinate.
R=(-2,1)
R' = (-2+8,1-4)= (6,-3)
R' = (6,-3)
what is i (5+5) vey (5-5) u
The sentence that represents the expression (5 + 5)ve y(5-5) u is:
love you.
How to translate the expression to a sentence?The expression is given as follows:
(5 + 5)ve y(5-5)u
There are two operations in the expression, as follows:
5 + 5 = 10. (addition of 5 and 5 = multiplication of 5 by 2).5 - 5 = 0. (subtraction of 5 and 5).Then the expression, with the numbers, is given as follows:
10ve y0o.
The number 10 can be interpreted as the two letters lo, as l and 1 are very similar symbols, as are 0 and o, then the updated expression is:
love y0u.
The same is applied to the final zero, as 0 and o are very similar symbols, hence the sentence that represents the expression is:
love you.
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I need help with this practice I attempted this and got 13.96? Make sure your answer is rounded to the nearest hundredth
Law of Cosines
Given two side lengths a and b of a triangle and the angle included by them θ, the length of the third side can be calculated as:
[tex]c^2=a^2+b^2-2ab\cos \theta[/tex]We have a = 14, b = 9, θ = 71°. Substituting:
[tex]\begin{gathered} c^2=14^2+9^2-2\cdot14\cdot9\cos 71^o \\ c^2=196+81-252\cdot0.325568 \\ c^2=194.956825 \\ c=\sqrt[]{194.956825} \\ c=13.96 \end{gathered}[/tex]The length of CD is 13.96
Is the image an example of an angle?
B
65°
A
C
O No; AB and BC intersect in more than one point.
O Yes; AB and BC do not form a line and share an endpoint.
O No; AB and BC form a line.
O Yes; AB and BC are perpendicular to each other.
Yes, the image an example of an angle AB and BC do not form a line and share an endpoint.
What is an angle ?An angle is formed when two lines are extending from a point .
Using this Knowledge it can be deduced from the figure that line BA and BC are extending from point B. Hence forming an angle of 65 degrees
Analyzing the options
option A is wrong as line AB and BC intersected only on one point. formation of a line do not typically say if an angle is formed or not hence making option c incorrect. There is no perpendicular line formed in th figure .
This leaves option B as the correct option
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Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? 4 3 g 1 E -5 -2 -1 0 -1 -2
C) The lines g and g' are parallel and E'(-2,0) and F'(0, 1)
1) Let's locate points E and F.
E (0,2) and F( -4,0)
Given that line was dilated by a scale factor k = 1/2 about the origin we can state the following
• The line segment g' is shorter, half of g.
,• Points E'(0,1) and F'(0,1)
3) Examining the answers we can state:
The lines g and g' are parallel and E'(-2,0) and F'(0, 1)
=What is 623 divided by 7
623 / 7 = 89
Result = 89
Find the volume of this cylinder. Use 3 for a.14 ftV = 7r2h=9 ftVV ~ [?]ft3
The formula for the Volume(V) of the cylinder is given as,
[tex]V=\pi r^2h[/tex]Given:
[tex]\begin{gathered} \pi=3 \\ r=14ft \\ h=9ft \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} V=3\times14^2\times9=3\times196\times9=5292ft^3 \\ \therefore V=5292ft^3 \end{gathered}[/tex]Hence, the volume of the cylinder is
[tex]5292ft^3[/tex]What is an equation of the line that passes through the points (4, -3) and
(5, -5)?
(-4k - 1) - (-6k - 6)
Answer:
2k + 5
Step-by-step explanation:
Since this is a subtraction problem, you need to change it to an addition problem. When you do this, you also need to change the sign of each term in the second set of parentheses.
(-4k - 1) - (-6k - 6)
(-4k - 1) + (6k + 6)
Remove the parentheses and add like terms.
-4k - 1 + 6k + 6
2k +5
I need help with this
Angle XBC is a corresponding angle to angle AXY.
The value of angle BXC is 30 degrees.
How to find measure of angles?When parallel lines are cut by a transversal line, angle relationships are formed such as alternate angles, corresponding angles, linear angles, vertically opposite angles etc.
Therefore, XY and BD are parallel lines and are cut by the transversal line AB and XC.
XBC forms an isosceles triangle.
∠AXY = 75 degrees.
∠XBC is a corresponding angle to ∠AXY.
Corresponding angles are congruent.
Therefore,
∠AXY = ∠XBC
Let's find the angle BXC.
The sum of angle in a triangle is 180 degrees.
The triangle BXC is an isosceles triangle. An isosceles triangle has base angles equal to each other.
Hence,
75 + 75 + ∠BXC = 180°
∠BXC = 180 - 150
∠BXC = 30°
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3.2+2(-1.5)-3.4
(pls solve by doing the order of operations)
(step by step pls)
AS per the order of operations, the value of the expression 3.2+2(-1.5)-3.4 is -3.2
Order of operations:
Order of operations states the rule that tells the correct sequence of steps for evaluating a math expression.
The order using PEMDAS:
Parentheses,
Exponents,
Multiplication and Division (from left to right),
Addition and Subtraction (from left to right).
Given,
Here we have the expression. 3.2+2(-1.5)-3.4
Now, we have to use the order of operations concept in order to solve it.
The highest priority for the order of operation is brackets and the next priority is for division and multiplication,
So, here we have to solve those things first, then we get,
=> 3.2 + (-3) - 3.4
We know that (+) x (-) = -, so, the expression is rewritten as,
=> 3.2 - 3 - 3.4
The next priority is for addition and subtraction,
So, the result is,
=> 3.2 - 6.4
=> -3.2
Therefore, the resulting number is -3.2
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For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1
The equations with a solution of 8 are:
x+2=10, x -4 = 4, 3x = 24, and x/8 =1
This is further explained below.
What are equations?An equation is a formula that, in mathematics, expresses the equivalence of two expressions by linking them with the equals symbol =. In other words, an equation is a mathematical expression.
An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value. This is the most basic version of the definition of an equation in algebra.
For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."
Now we consider all equations given
1)
x+6 = 2
x = 2-6
x = -4
2)
Considering question 2 equation to see if it equals 8
x+2=10
x = 10-2
x = 8
3)
Considering question 3 equation to see if it equals 8
x -4 = 4
x = 4+4
x = 8
4)
Considering question 4 equation to see if it equals 8
x-2=10
x = 10+2
x = 12
5)
Considering question 5 equation to see if it equals 8
2x = 4
x = 2
6)
Considering question 6 equation to see if it equals 8
3x = 24
x = 8
7)
Considering question 7 equation to see if it equals 8
x/2 = 16
x = 32
8)
Considering question 8 equation to see if it equals 8
x/8 =1
x = 8
In conclusion, only equations:
x+2=10, x -4 = 4, 3x = 24, and x/8 =1 have the solution of 8
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if i get a 60% on a math test then what would my final grade be overall
its an 80% rn
Answer:
A D
Step-by-step explanation:
An A is 90% to 100% A B is 80% to 89% A C is 70% to 79% A D is 60% to 69%
( f - 12) + Pf decreased by the sum of 12 and p is it correct?
The sum of 12 and P can be written as 12 + P
Then, f decreased by the sum of 12 and P can be written as:
f - (12 + P)
Answer: it isn't correct, the correct answer is f - (12 + P)
A barge is being towed by two tugboats, using ropes with force vectors as shown.
SOLUTION
From the question, we are given
[tex]\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}[/tex]Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as
[tex]\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}[/tex]But writing the forces in vector form, we have
[tex]\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}[/tex]Applying the formula above, we have
[tex]\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}[/tex]Now, theta becomes
[tex]\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}[/tex]hence the answer is option B, 53 degrees
SOLUTION
From the question, we are given
[tex]\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}[/tex]Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as
[tex]\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}[/tex]But writing the forces in vector form, we have
[tex]\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}[/tex]Applying the formula above, we have
[tex]\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}[/tex]Now, theta becomes
[tex]\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}[/tex]hence the answer is option B, 53 degrees
Kamal invest $6130 at a rate of r% per year compound interest the value of his investment at the end of 5 years is $6669
The rate which the investment is compounded annually is 1.7%
Compound InterestCompound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
The formula to calculate compound interest is given as
[tex]A = p(1 + \frac{r}{n})^n^t[/tex]
A = final amountp = principalr = rate n = number of times compoundedt = timesubstituting the values into the equation and solve for rate at which the investment is compounded
[tex]A = p(1 + \frac{r}{n})^n^t\\6669 = 6130(1+ \frac{r}{1})^1^*^5\\ r = 1.7[/tex]
The rate of the investment is 1.7%
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what is BIDMAS?
Please answer
Answer:
BIDMAS is a math term that is used to describe these 6 terms.
Brackets
Indices, which is another word for exponents
Division
Multiplication
Addition
Subtraction
Answer:
It is the order of operation in order to know how to calculate an equation starting from which order.
Step-by-step explanation:
Brackets first
Indices second
Division and multipaction third. From left to right
Addition and subtraction last. From left to right
For any integer of n which of the following, n and n+2, n-1 and n+1, 2n and 2n+2, 2n-1 and 2n+1, 2n+ 1 and 2n+2, 2n and 2n+1 are always 2 consecutive even numbers
The number 2n and 2n + 2 will always are 2 consecutive even numbers.
What is termed as the consecutive even numbers?Consecutive numbers are numbers that obey one another in a regular adding up order or pattern. They are written in a series with a fixed difference here between numbers and no numbers skipped in between. We know that even numbers end in 0, 2, 4, 6, and 8. Consider a set of even numbers ranging from 2 to 12 but rather write those in ascending order. When written from smallest to largest, the numbers are organized as 2, 4, 6, 8, 10, 12. The difference between any former leader pair is 2, as we can see. As a result, these numbers comprise the collection of consecutive even numbers.From the given option in the question;
2n and 2n + 2 will always be two consecutive even number.
For, n = 1, the numbers be 2 and 4.
For, n = 2, the numbers be 4 and 6.
For n = 3, the numbers be 6 and 8....and so on.
Thus, the number 2n and 2n + 2 will always are 2 consecutive even numbers.
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Triangle VWX is formed by connecting the midpoints of the side of triangle STU.
The lengths of the sides of triangle VWX are shown. What is the length of SU?
Figures not necessarily drawn to scale.
The length of the side SU will be equal to 4√2.
What is a Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
The formula for the Pythagorean theorem will be given as:-
H² = P² + B²
Here,
H = Hypotenuse
P = perpendicular
B= Base
The length of the sides of the triangle is formed by joining the midpoints of the bigger triangle are xw=2, xv=2, and vw = 3.
Here sv = vt = xw = 2 units. Apply the Pythagorean theorem in a triangle xsv.
H² = P² + B²
sx² = xv² + sv²
sx = √ ( 2² + 2² )
sx = √8
sx = √ ( 2 x 2 x 2 )
sx = 2√2
SU = 2 sx
SU = 2 x 2√2
SU = 4√2
Therefore, the length of the side SU will be equal to 4√2.
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What is the rate of change (slope) and the initial value (y-axis) for this table?
Answer: m = 24
Step-by-step explanation:
The right side of the table is the x value, and the left side is the y value.
Pick two points, I will pick (1,35) and (3,83).
Once you pick the points, input them in the rise over run formula:
y2-y1/x2-x1
83-35/3-1 = 48/2 = 24
