Answer:
Step-by-step explanation:
The y -intercept Is: b=9 or (0,9)
what do i do when my algebra has something like this 9x+45=15x+3/7x im used to having constants and variables on both sides
Answer:
x = 2 11/12
Step-by-step explanation:
First of all, on the right you have to combine 15x+3/7x which equals 15 3/7x.
9x + 45 = 15 3/7x
-9x -9x Next step is to subtract 9x from both sides.
45 = 15 3/7x
/ /
15 3/7 15 3/7 Third step is to divide 15 3/7 on both sides to leave x
by itself.
35/12 = 2 11/12 = x
x = 2 11/12
solve each equation.c heck your solution
x(x + 3)=0
Answer: x= negative 3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-3(-3+3)=0
-3(0)=0
0=0
T= {(-5, -3), (8, -6), (-5, 1), (0,8)}
Give the domain and range of T.
Write your answers using set notation.
Answer:
d: {-5, 0, 8}
r: {-6, -3, 1, 8}
Step-by-step explanation:
You want the domain and range of the relation T= {(-5, -3), (8, -6), (-5, 1), (0,8)}.
DomainThe domain is the set of first values. We usually like to see duplicates eliminated and the values written in increasing order:
{-5, 0, 8}
RangeThe range is the set of second values. Again, we like them in order:
{-6, -3, 1, 8}
__
Additional comment
If there are duplicates among the domain values (as here), the relation is not a function.
which of the following is an example of a rational number between 7 and 8?
The six rational number between 7 and 8 are 7.5 ,7.75, 7.875 , 7. 9375 ,7.9675 and 7.98375
When radioactive substances decay, the amount remaining will form a geometric sequence when measured over constant intervals of time. The table shows the amount of Np-240, a radioactive isotope of Neptunium, initially and after 2 hours. What are the amounts left after 1 hour, 3 hours, and 4 hours?
The amounts left after: 1 hour = 642g, 3 hours = 160.6g, 4 hours = 80.3g, as calculated by the formula of radioactive decay.
What is radioactive decay?The process of radioactive decay is how an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive.Alpha, beta, and gamma decay are three of the most prevalent types of decay, and they all entail the emission of one or more particles.The formula so used: A = [tex]\frac{-dN}{dt}[/tex]
=> N = A ([tex]e^{-kt}[/tex]), where:
N = amount left after the decay.A = initial amountk = constantt = time taken by the decayNow,
AS shown in the table (refer to the image attached), for k:
=> 322 = 1284[tex]e^{-2k}[/tex]
=> [tex]\frac{322}{1284}[/tex] = [tex]e^{-2k}[/tex]
=> 0.25 = [tex]e^{-2k}[/tex]
Taking natural logarithm on both sides.
=> ln(0.25) = ln([tex]e^{-2k}[/tex])
=> ln(0.25) = (-2k) ln(e)
As ln (e) = 1,
=> ln (0.25) = -2k
=> -1.386 = -2k
=> k = 0.693
Now, for t = 1 and k = 0.693, in the original formula, we get:
=> N = 1284 ([tex]e^{-0.693(1)}[/tex])
=> N = 1284 (0.5)
=> N = 642
For t = 3 and k = 0.693, in the original formula, we get:
=> N = 1284 ([tex]e^{-0.693(3)}[/tex])
=> N = 1284 (0.125)
=> N = 160.6g
For t = 4 and k = 0.693, in the original formula, we get:
=> N = 1284 ([tex]e^{-0.693(4)}[/tex])
=> N = 1284(0.0625)
=> N = 80.3g
Thus, The amounts left after: 1 hour = 642g, 3 hours = 160.6g, 4 hours = 80.3g, as calculated by the formula of radioactive decay.
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d at ( − 6 , − 3 ) (−6,−3) on the coordinate plane. Point K K is reflected over the y y-axis
the reflection of coordinates ( -6, -3 ) on y-axis has coordinates ( 6, -3 ).
The reflection transformation can be with respect to x-axis and y-axis. When a point is reflected about the x-axis, the x-coordinates stay the same and y-coordinates are transformed and written with their opposite signs.
For example, the reflection of the point with coordinates (x, y) across x-axis is (x, -y).
When a point is reflected about the y-axis, the y-coordinates stay the same and the x-coordinates are transformed and written with their opposite signs.
For example, the reflection of the point (x, y) across y-axis is (-x, y).
As we can see that the point with coordinates ( -6, -3 ) lies in the third quadrant and thus the reflection of this point on y-axis lies in fourth quadrant. We know that in fourth quadrant the x coordinate is positive and y coordinate is negative.
By changing the signs according to the above rules, we get
from ( -6, -3 ) to ( 6, -3 ).
Therefore, we can conclude that the reflection of coordinates ( -6, -3 ) on y-axis has coordinates ( 6, -3 ).
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The expressions c - e, where c
stands for the money collected and e
stands for the expenses, is used to find
the profit from a basketball concession.
If $500 was collected and expenses
were $150, find the profit for the
concession.
The profit of the concession is $350.
What specifically are expressions?A group of numbers or variables combined with the operations +, -, ×, or ÷ form an expression.While algebraic expressions include variables, numbers, and mathematical operators, arithmetic expressions only contain numbers and mathematical operators.Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.So, c - e:
Substitute the values in the expression:
c - e500 - 150$350Therefore, the profit of the concession is $350.
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PLEASE HELP ANSWER I CANT FIND ANSWERS ANYWHERE THIS IS MY LAST HOPE PLS
which expression is equivalent to 1/3 + (3/4+3/4)
1/3 + (3/4 +3/4)
1/3 (3/4+2/3
3/4 - 2/3 + 1/3
(1/3+3/4) +2/3
question 2
Which property explains why these two expressions are equal?
(w+ 2/3) + 5 = w + (2/3 + 5)
A)
associative
B)
commutative
C)
distributive
D)
transverse
Which property is BEST to use when combining
3/5 +1/4 +2/5?
additive inverse property
distributive property
commutative property of addition
identity property of addition
Answer For Question 2: Associative property. The associative property says that even if you rearrange the parenthesis () the result will still be the same. And that is what is happening in question 2
Answer For Question 3: Commutative property of addition. This is the BEST choice because you will first want to add 3/5 + 2/5. And since the Commutative property says that no matter the order of the addends, you can add what ever you think is the best choice.
Here are some answers. I couldn't really understand Question 1 so i didn't want to give you an incorrect answer. Also are the pictures questions too? Im not too sure but here you go hope this helps you in some way
Find the percent of the given number. 92 % of 90
A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.
The percent of the given number 92% of 90 is 82.8.
What is meant by percentage?A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.
Let the equation be 92% of 90
Percentage = (value/total value) × 100 %.
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
92% of 90 = 92/100 of 90
92/100 × 90 = 82.8
Therefore, the percent of the given number 92% of 90 is 82.8.
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Easton drove 224 miles in 8 hours. On average, how fast did he drive in miles per hour? Express your answer in simplest form.
Answer: 28 miles per hour
Step-by-step explanation:
224 miles / 8 hours=
224/8= 28 miles per hour
Rewrite (128 + 32) using factoring.
2(124 + 17)
4(32 + 8)
8(17 + 4)
12(14 + 3)
The expression (128 + 32) when rewritten using factoring is 4 * (32 + 8)
How to rewrite the expression using factoring?The expression in the question s given as
(128 + 32)
Express the numbers 128 and 32 as the product of their factors
i.e. we factor out 4 from the expression
So, we have
(128 + 32) = (4 * 32 + 4 * 8)
Next, we factor out the common factor (i.e. 4) from the expression
So, we have
(128 + 32) = 4 * (32 + 8)
Rewrite the above expression as follows
(128 + 32) = 4(32 + 8)
Hence, the expression (128 + 32) when rewritten using factoring is 4 * (32 + 8)
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Write in point-slope form an equation of the line through each pair of points. (7,11) and (13,17)
The equation of the line in point-slope form, which passes through the pair of points located at (7 , 11) and (13 , 17), is y - 11 = (x - 7).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (7 , 11) and (13 , 17).
m = (y2 - y1)/(x2 - x1)
m = (17 - 11)/(13 - 7)
m = 6/6
m = 1
Using the point slope form, plug in the values of the slope and one point to set up the equation.
(y - y1) = m(x - x1)
where m = 1 and (x1 , y1) = (7 , 11)
(y - 11) = 1(x - 7)
y - 11 = (x - 7)
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Express 5.5 recurring as mixed number
Answer:
5.5 = 5 5/10 = 5 1/2 (simplified)
Hope this helps in any way :)
the elevator starts on floor 12 it goes down 8 floors then it goes up 14 floors what floor does it end on?
Which expressions are equivalent to -6(b+2)+8−6(b+2)+8minus, 6, left parenthesis, b, plus, 2, right parenthesis, plus, 8 ?
The equivalent expression of -6(b + 2) + 8 is -6b - 4
How to determine the equivalent expression?The expression is given as
-6(b + 2) + 8
Expand
-6b - 12 + 8
Evaluate the like terms
-6b - 4
Hence, the equivalent expression of -6(b + 2) + 8 is -6b - 4
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In this problem, you will explore changing dimensions in circles.
f. If the scale factor from ®A to ®B is 1/3 , and the circumference of ®A is 12 inches, what is the circumference of ®B ?
The circumference of ®B is 36 units.
What is scale factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
Now it is given that,
The scale factor from ®A to ®B = 1/3
⇒Ks = 1/3
∵ Ks = A/B
By comparison we get,
A = 1
and B = 3
Thus, circumference (CA) of ®A = 12
⇒ Since scale factor for A = 1
⇒ 2πr = 12
⇒ r = 6/π
Now, circumference (CB) of ®B = 2πr = 2π* 6/π
⇒ circumference (CB) of ®B = 12
Since scale factor for B = 3
⇒ circumference (CB) of ®B = 3 * 12
⇒ circumference (CB) of ®B = 36 units.
Thus, the circumference of ®B is 36 units.
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Kelly’s car travels 26 1/4 miles on 5/8 gallon of gas how much Can the car go per gallon
Answer:
42 miles per gallon
Step-by-step explanation:
First, Convert it into a decimal to make it easier, 26.25 miles on .625 gallon. Now we Divide the two numbers 26.25 ÷ .625 = 42.
Hope this helps :D
Use the Distance Formula to calculate the distance between points A (-4, 2) and B (0,-2), and round your answer to 1 decimal place.
The distance between the given 2 points using the distance formula is 4√2.
What is the Distance Formula?Distance is a numerical or qualitative measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage.So, the Distance formula: [tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Substitute values in the distance formula as follows:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\d=\sqrt{\left(0-(-4)\right)^2+\left((-2)-2\right)^2}\\d=\sqrt{\left(4\right)^2+\left(-4\right)^2}\\\\d=\sqrt{16+16}\\d=\sqrt{32}\\\\d=\sqrt2*2*2*2*2\\d=2*2\sqrt2\\\\d=4\sqrt2[/tex]
Therefore, the distance between the 2 points is 4√2.
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what is the mean, median, and mode of the following data set? 27, 31, 33, 33, 35, 45
Answer: mean = 34
median = 33
mode = 33
Step-by-step explanation:
To figure out the mean you add every number and divide them by the number of values you added together so 27 + 31 + 33 + 33 + 35 + 45 = 204 then we would divide that by 6 = 34
To find the median you put all the numbers into order so which it already is meaning now you find the number in the middle which is 33 and 33 if there were two more values you would have to find the mean of them, but in this case its 33
The mode is the number which appears the most which is 33 as it appeared more than 2 times.
a web music store offers two versions of a popular song. The size of the standard version is 2.6 megabytes (NB). The size of the high-quality version is 4.7
Yesterday, the high-quailty version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 4509
How many downloads of the standard version were there?
The downloads of the standard version are 1127.25.
What are expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one mathematical operation. This math operation can be addition, subtraction, multiplication, or division. An expression has the following structure: The expression is (Number/variable, Math Operator, Number/variable).So, let the download of the standard version be 'x'.
Then, automatically the download of the high-quality version becomes '3x'.
Now,
3x + x = 45094x = 4509x = 4509/4x = 1127.25 (downloads of the standard version)Then, downloads of the high-quality version: 1127.25 × 3 = 3,381.75Therefore, the downloads of the standard version are 1127.25.
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What is the simplest form of [tex]\sqrt) 3025[/tex]
Answer:
55
Step-by-step explanation:
[tex]\sqrt{3025} =55^2\\\sqrt{55^2}\\\sqrt{55^2}=55\\=55[/tex]
Hope this helps.
I need help plsssss select the correct way to write the expanded form of 0.68 with decimals. group of answer choices 0 x 1 + 6 x 0.1 + 8 x 0.01 0 x 1 + 6 x 0.01 + 8 x 0.001 0 + 6 + 8 0 x 1 + 6 x 0.1 + 8 x 0.001
The expanded form of 0.68 is written as 0 x 1 + 6 x 0.1 + 8 x 0.01.
To express decimal numbers in their expanded form simply means writing each number according to its place value. It can be done by multiplying each digit of the decimal by its place value and adding it all together.
Given the decimal 0.68 or sixty eight hundredths in words, first, multiply the digit 0 by its place value, which is 1.
0 x 1
Multiply the digit 6 by its place value, which is 0.1.
6 x 0.1
Multiply the digit 8 by its place value, which is 0.01.
8 x 0.01
Add it all together.
0 x 1 + 6 x 0.1 + 8 x 0.01
Hence, the expanded for of the decimal 0.68 is written as 0 x 1 + 6 x 0.1 + 8 x 0.01.
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If you vertically compress the absolute value parent function, f(x) = Ixl, by a
factor of 3, what is the equation of the new function?
OA. g(x) = 1x - 31
OB. g(x)=x
O C. g(x) = 31x1
O D. g(x) = 13x|
Answer:
The equation for new function is
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is
Step-by-step explanation:
g(x) = 1/3 |x| !
Simone calculates the volume of a cube with side length 2.3 cm to be 6.9 cm3. Meiki says the volume is 12.167 cm3. Who is correct, and why?
Step-by-step explanation:
Philipp Heinrich Scheidemann was a German politician of the Social Democratic Party of Germany. In the first quarter of the 20th century he played a leading role in both his party and in the young Weimar Republic. Wikipedia
Born: July 26, 1865, Kassel, Germany
Died: November 29, 1939, Copenhagen, Denmark
Party: Social Democratic Party of Germany
Spouse: Johanna Dibbern (m. 1889–1926)
Previous offices: Mayor of Kassel (1919–1925), Chancellor of the German Reich (1919–1919), More
Books: The Making of New Germany: The Memoirs of Philipp Scheidemann
Nationality: German, Weimar
Type the correct answer in the box.
What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.
25 x
12
√0
(0) 101
0.
04
=
< >
S 2
X
a B
AU
8 9
Q
4
sin cos tan sin
tan-1
csc sec cot log log In
COS
=
ZAN
2
•
U
Σ
Answer:
x ≈ 25.73
Step-by-step explanation:
using the tangent ratio in the right triangle
tan25° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × tan25° = 12 ( divide both sides by tan25° )
x = [tex]\frac{12}{tan25}[/tex] ≈ 25.73 ( to 2 dec. places )
The value of the line segment in the right-angle triangle 'x' will be 25.75 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The measure of the length 'x' is calculated by the tangent of angle 25°. The tangent of an angle is the ratio of the perpendicular to the base of the right-angle triangle. Then we have
tan 25° = 12 / x
x = 12 / tan 25°
x = 12 / 0.466
x = 25.75 units
The value of the line segment in the right-angle triangle 'x' will be 25.75 units.
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Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. y=4 x(7-2 x)
The given function
f(x) = y = 4x(7 - 2x) , is a Quadratic function
where its quadratic term is -8x².
Its linear term is 28x
Constant 0
What is a function?A function is a mathematical expression or equation that allows us to visualize graphically the behavior of a function. A function is not real when it cuts the vertical axis at the same point of x.
A function can be linear or quadratic, this is evidenced by the higher exponential degree, in our case we have the following function:
f(x) = -2(3+x)²+2x² we solve the function that seems to be quadratic because it has the highest degree the number "2" in the variable, however we will solve its reduction.
4x (7 - 2x) we apply the distributive property
28x - 8x² is a quadratic function
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Do the following side lengths form a right triangle?
51, 68, 85
Answer:
Yes
Step-by-step explanation:
We can check using pythagoras theorem, setting a and b equal to the shorter sides.
[tex]51^2+68^2=85^2\\2601+4624=7225\\7225[/tex]
In ΔVWX, the measure of ∠X=90°, XW = 48, WV = 73, and VX = 55. What is the value of the sine of ∠W to the nearest hundredth?
Answer: sinW≈0.75
Step-by-step explanation:
[tex]m\angle X=90^0\ \ \ \ XV=48\ \ \ \ \ WV=73\ \ \ \ \ VX=55\ \ \ \ sinW=?[/tex]
The sine theorem: The sides of a triangle are proportional to the sines of the opposing angles
Hence,
[tex]\displaystyle\\\frac{WV}{sinX} =\frac{VX}{sinW} \\\\\frac{73}{sin90^0} =\frac{55}{sinW} \\\\\frac{73}{1} =\frac{55}{sinW} \\\\sinW=\frac{55}{73} \\\\sinW\approx0.75[/tex]
what is the value of 7 -(-4)
Please Help, Consider the following sets in the universal set U, which is the set of all elements of the three given sets below. List the elements of the sets being described.
B = {d, o, I, e} I = {p, i, n, a, y} J = {p, i, n, o, y}
The results of the operations between the sets are given as follows:
1. U = {a, d, e, i, l, o, n, p, y}
2. E ∪ I = {d, o, l, e, p, i, n, a, y}.
3. E ∩ I = ∅.
4. J' = {d, a, l, e}
5. I ∪ J = {p, i, n, a, y, o}
6. (J ∩ I) ∪ E = {p,i,n,y,d,o,l,e}
7. E = {p, i, n, a, y}
8. I' ∪ J = {p, i, n, y, d, o, l, e}
9. (E ∪ I) ∩ (I ∪ J) = {p, i, n, a, y, o}
10. (J ∪ I)' = {d, l, e}
What is the universal set?The universal set is the set that contains all elements that belong to at least one of the sets E, I and J, hence:
U = {a, d, e, i, l, o, n, p, y}
What is the union operation?The union operation between two sets is the set of elements that belong to at least one of the sets.
Hence, in item 2, we have that:
E ∪ I = {d, o, l, e, p, i, n, a, y}
In item 5, we have that:
I ∪ J = {p, i, n, a, y, o}
What is the negation operation?The negation operation of a set X is the set that contains all elements that belong to the universe U but do not belong to X.
Hence, for item 4, we have that:
J' = {d, a, l, e}
For item 7, we have that:
E = {p, i, n, a, y}
Item 8 involves a negation then a union, hence:
I' = {d,o,l,e}
I' ∪ J = {p, i, n, y, d, o, l, e}
Item 10 involves an union then a negation, just different precedence of 8, hence:
I ∪ J = J ∪ I = {p, i, n, a, y, o}
(J ∪ I)' = {d, l, e}
What is the intersection operation?The union operation between two sets is the set of elements that belong to both of the sets.
Hence, in item 3, we have that:
E ∩ I = ∅ (no element belongs to both sets).
For item 6, we have an intersection then an union, hence:
J ∩ I = {p,i,n,y}
(J ∩ I) ∪ E = {p,i,n,y,d,o,l,e}
For item 9, we have the intersection of two unions, hence:
E ∪ I = {d, o, l, e, p, i, n, a, y}
I ∪ J = {p, i, n, a, y, o}
(E ∪ I) ∩ (I ∪ J) = {p, i, n, a, y, o}
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