Answer:
311 1/9 or 311.11 mStep-by-step explanation:
Let the total distance be x.
We have:
9/10 of x is 280 m.Set this as equation and solve for x:
(9/10)x = 280x = 280 ÷ 9/10x = 280 × 10/9x = 2800/9 = 311 1/9 or 311.11 mTotal distance from the park to the station is approximately 311 m.
Let that be d
9/10 of d=2809/10d=280d=280(10/9)d=311.1mChallenge Anyone?......
Answer:
0.2 [or 2/10 ; or 1/5]
Step-by-step explanation:
100x = 1/10×200
100x = 20
÷100 ÷100
x = 0.2
check:
100 × 0.2 = 20
1/10 × 200 = 20
20 = 20
[true statement]
(Or, you know that 100 is half of 200, and to get from 100 to 200 we had to multiply by 2, and that 100 x 2/10 will be equal; this is harder to word though)
Which of the following points lies on the 2x + 4y =10
Answer:Yes, the point lies on the line.
Step-by-step explanation:
Given coordinate of the locus = (1,2)
Equation of the line 2x+4y = 10
Unknown:
Does the given coordinate lie on the line?
Solution:
The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.
x = 1 and y = 2;
2x+4y = 10
So;
2(1) + 4(2) gives 2 + 8 = 10
Yes, the point lies on the line.
Fill in the missing (yellow) exterior angle with (5x) to solve for x. Diagram may not be to scale.
Step-by-step explanation:
the sum of all exterior angles in a polygon is always 360° (one time around the full circle).
so,
360 = 71 + 85 + 44 + 3x + 5x = 8x + 200
160 = 8x
x = 20
Use the graph or table to find the equation that represents the relationship.
please HELP!!!!!!
100 points and a Brainliest if your answer is clear and correct
#1
(5,-10)(10,-25)Find slope
m=-25+10/10-5m=-15/5m=-3y=-3x+5 is the equation as there is no other having slope -3
#2
(7,3)(1,-3)slope
m=-3-3/1-7m=-6/-6m=1y=x-4 as no other have slope m
#3
(0,-1)y intercept is -1
y=2x-1 is the equation as it has y intercept -1
#4
(0,-4)y intercept is -4
y=4/5x-4Which graph represents a reflection of f(x) = One-third(9)x across the x-axis?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 3) and increases to (1.25, 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It goes through (negative 1, 3) and (negative 1.25, 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, negative 3) and (1.25, negative 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 4 and decreases into quadrant 3. It goes through (negative 1, negative 3) and (negative 1.25, negative 7).
Using translation concepts, the graph that represents a reflection of [tex]f(x) = \frac{1}{3}(9)^x[/tex] across the x-axis is:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, - 3) and (1.25, -7).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the function is:
[tex]f(x) = \frac{1}{3}(9)^x[/tex]
Which approaches y = 0 in quadrant 2 and increases into quadrant 1. For the reflection over the x-axis, the function assumes inverse(negative) values, that is, quadrant 2 -> quadrant 3 and then quadrant 1 -> quadrant 4, hence the correct statement is:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, - 3) and (1.25, -7).
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The graph which represents a reflection of f(x) = One-tenth(10)x across the y-axis is:
B. On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1).
Coordinate Plane
This refers to the two-dimensional surface which is made up of two number lines, x and y.
With this in mind, we can see that from the complete text, we can see that the given graph on the function of x on the y-axis is on a coordinate plane.
Therefore, the correct answer is option B
need to know asap
Which of the following best describes the correlation between two variables if the correlation coefficient is -0.544?
weak positive
weak negative
strong negative
strong positive
Solve (2465)8*(465)8
Answer:
73,358,400
Step-by-step explanation:
(2465)8 × (465)8
= 19,720 × 3,720
= 73,358,400
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable
solution if x represents the number of days that a library book is late and y represents the total fee?
The equivalent equation to find the ordered pair will be y=0.3x where x represents the number of days the book is late and y represents the total fine fee.
A linear equation is an equation where the highest degree in the equation is 1.
for example, y=mx,
where y and x is the variable and m, is the constant.
Given, that the librarian charges $0.30 per each day that the book is late to submit
for estimating the relation between the number of days the book is late and the total fine fee
Let's assume the number of days the book is late is x,
and the total fine is y
the librarian charges $0.30 per one day
so for x days, the total charge will be =0.30x
so from above, it is clear that the linear equation will be
y=0.3x
applying all the order pairs in this equation we can decide.
The equivalent equation to find the ordered pair will be y=0.3x
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In 2005, an area vocational school had an enrollment of 325 men and 123 women. In 2006, there were 149 women. What was the percent increase of women students? Your final answer should be rounded to the nearest whole percent.
The percent increase of women students is 21.13%.
Given that, an area vocational school had an enrollment of 325 men and 123 women.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
In 2006, there were 149 women.
Percentage increase = (New value - original value)/Original value × 100
= (149-123)/123 × 100
= 26/123 × 100
= 21.13%
Therefore, the percent increase of women students is 21.13%.
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true or false
The slope of the least-squares regression line is the average change in the predicted
values when the explanatory variable increases by 1 unit. [Select]
Answer:
false fake false false false.............
Step-by-step explanation:
.....,........................
If f(1) = 2 and f(n) = f(n − 1)² + 4 then find the value of ƒ (3).
Answer:
f(3) = 68
Step-by-step explanation:
→ f(1) = 2 ⇒ f(2) = f²(2 − 1) + 4
= f²(1) + 4
= 2² + 4
= 8
………………………………………………
→ f(2) = 8 ⇒ f(3) = f²(3 − 1) + 4
= f²(2) + 4
= 8² + 4
= 64 + 4
= 68
Which of the following is a difference between simple regression and bivariate correlation?
© a. With correlation, associations cannot be negative
O b. With correlation, perfect associations are possible
O c. With simple regression, categorical variables can be used
O d. With correlation, variables are not described as dependent or independent
O e. In simple regression, associations are stronger
Answer: Answer is C
Step-by-step explanation: It is C because its option C
Which of the following could represent the
interval (5, 100]? Select two that apply.
Answer:
5 < x ≤ 100
(this is inequality form)
{x| 5 < x ≤ 100}
(this is set notation form)
(options B and C)
Step-by-step explanation:
In interval notation,
( or ) : does not include value
[ or ] : does include value
{and remember:
< or > : does not include value
≤ or ≥ : does include value}
when we write something in interval notation, the range of values is from (lowest value, highest value)
for this equation, we know that we are looking for : (5, 100]
which means that the range of numbers goes from
5 (does not include 5) to 100 [does include 100]
so, x > 5 (not equal to); x ≤ 100
we can combine these two concepts: 5 < x ≤ 100
(inequality form)
{when {x | ...} is present, it means the same thing as without it, so
{x| 5 < x ≤ 100} is also correct
(set notation)
hope this helps!!
Answer:
B and C
Step-by-step explanation:
from interval notation we are including 100 but not 5,
x > 5 and x ≤ 100
so B and C are correct
HELP!Which linear function represents the line given by the point-slope equation y - 2 = 4(x − 3)? Of(x) = 6x-1 Of(x) = 8x-6 Of(x) = 4x - 14 Ofix) = 4x - 10 Which linear function represents the line given by the point - slope equation y - 2 = 4 ( x − 3 ) ? Of ( x ) = 6x - 1 Of ( x ) = 8x - 6 Of ( x ) = 4x - 14 Ofix ) = 4x - 10
[tex]y-2=4(x-3)\\\\y-2=4x-12\\\\y=4x-10\\\\\boxed{f(x)=4x-10}[/tex]
Which is the rate of change for the interval between 3
and 6 on the x-axis?
O -3
O -2
0 2
O 3
Answer: 2
Step-by-step explanation:
When x = 3, y = -2.
When x = 6, y = 4.
The average rate of change over the interval is:
[tex]\frac{-2-4}{3-6}=\frac{-6}{-3}=\boxed{2}[/tex]
Find x. Round to the nearest 10th
Answer:
[tex]\boxed{\bf x = 23.5}[/tex]
Step-by-step explanation:
Using the law of sines.
[tex] \bf \cfrac{ \sin(A) }{a} = \cfrac{ \sin(B) }{b} [/tex]
A = 42B = x a = 22a = 12[tex]\bf \cfrac{ \sin(42) }{22} = \cfrac{ \sin(x) }{12} [/tex]
[tex]\bf \cfrac{12}{22} \sin(42) = \sin(x) [/tex]
[tex] \bf \sin(x) = 0.4[/tex]
[tex]\bf x = 23.5[/tex]
_______________________Ryan also found that he could model the height of his plant with the equation h = 0.5d + 4, where d is the number of days and h is the height in centimeters. part b question 2
The domain is {0, 1, 2, 3, 4, 5, 6} and range is {4, 4.5, 5, 5.5, 6, 6.5, 7}.
What is Domain and Range?The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
The complete question is
Ryan also found that he could model the height of his plan with the equation H = 0.5D + 4 where D is the number of days and H is the height in centimeters. Determine the domain and the range for this relationship.
Given:
h = 0.5d + 4
The Domain of the function is: {0, 1, 2, 3, 4, 5, 6}
and the Range is: {4, 4.5, 5, 5.5, 6, 6.5, 7}
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Hi. how can i Find the *number* of terms of a finite geometric sequence?
r= .75
a= 40
sum= 280
We have to use the formula [tex]n = log_{r} (1+\frac{S_{n}(1-r) }{a})[/tex] to find the number of terms of a finite geometric sequence.
If a be the first term of a finite sequence, r be the common ratio between consecutive terms and n be the number of terms.
So, we have to use the formula of sum of sequence and then calculate it to reduce the equation to find the value of number of terms, that is n.
Then, Sum of the sequence (Sn) = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
Here, in the given problem,
Sum(Sn) = 280, First term of the sequence(a) = 40, Common ratio(r) = 0.75
So, Sn = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
⇒ [tex]1-r^{n} =\frac{S_{n}(1-r) }{a}[/tex]
⇒ [tex]r^{n} =1+\frac{S_{n}(1-r) }{a}[/tex]
⇒ [tex]n = log_{r} (1+\frac{S_{n}(1-r) }{a})[/tex]
Now you have to put the values and get the number of terms.
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A jug of drinking water contained 1 2/3 gallons. If 5/7 gallon is drinked each day, how much water was left in the jug after 2 days?
Answer:
The answer is 5/21 water left in the jug after 2 days.
Step-by-step explanation:
First convert 1 2/3 into a improper fraction. This will turn it into 5/3. After this, find a common denominator between 5/7 and 5/3. This common denominator is 21. Now, convert both fractions into a fraction with 21 as the denominator. This will transform 5/7 into 15/21, and 5/3 into 35/21. So we know from the equation that 15/21 is drank every day. So we multiply 15/21 by 2, which will make it 30/21. 35/21 will stay the same. Now we do 35/21 - 30/21, which gives you the final answer of 5/21 water left in the jug after 2 days.
Hope this helps!
Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2).
Parallel lines have equivalent slopes, so as the slope of the given line is 1, the slope of the line we want to find is also 1.
Substituting into point-slope form and rearranging into slope-intercept form,
[tex]y-2=1(x+6)\\\\y-2=x+6\\\\\boxed{y=x+8}[/tex]
PLEASE HELP EMERGENCY
Answer:
C. Lines with congruent alternate interior angles are parallel.
non homogeneous recurrence relation
2fn - 6fn-1 = (n+1)(3^n)
Answer:
Non-Homogeneous Recurrence Relation and Particular Solutions
A recurrence relation is called non-homogeneous if it is in the form. Fn=AFn−1+BFn−2+f(n) where f(n)≠0.
pls answer this math problem
Answer:
-5
Step-by-step explanation:
Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.
__
use x=4When x=4, the equation becomes ...
-3x +9y = -57
-3(4) +9y = -57
-12 +9y = -57
solve 2-step equationThe first step is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.
-12 +12 +9y = -57 +12 . . . . . add the opposite of -12
9y = -45 . . . . . . . . . . . . . . simplify
The second step is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.
(1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9
y = -5 . . . . . . simplify
jessica has 4/8 of a bottle of roitussun on hand the pharmacist instructs to reduce it by 1/2 how much robitussun does the pharmacist need to prepare the prescription
Answer:
1/4
Step-by-step explanation:
4/8 = 1/2
1/2 x 1/2 = 1/4
10% of the library books in the fiction section are worn and need replacement. 20% of the nonfiction holdings are worn. The library's holdings are 60% fiction and 40% nonfiction. The probability to get a worn book is?
Answer: 14%
Step-by-step explanation:
Let's assume that there are 100 books in total.
So there are 60 fiction books and 40 nonfiction books.
10% of 60 is 6.
20% of 40 is 8.
So there are 14 books out of 100 that are worn.
This is 14%
A hyperbola centered at (7, 0) has a focus at (7, 5) and vertex at (7, 4). Which is the equation of the hyperbola in standard form?
quantity x minus 7 end quantity squared over 16 minus y squared over 9 equals 1
quantity x minus 7 end quantity squared over 25 minus y squared over 16 equals 1
y squared over 16 minus quantity x minus 7 end quantity squared over 9 equals 1
y squared over 25 minus quantity x minus 7 end quantity squared over 16 equals 1
Based on the calculations, the equation of this hyperbola in standard form is: A. [tex]\frac{x\;-\;7}{16} + \frac{y}{9} = 1[/tex].
How to determine the equation of a hyperbola?Mathematically, the equation of a hyperbola in standard form is given by:
[tex]\frac{x\;-\;h}{a^2} + \frac{x\;-\;k}{b^2} = 1[/tex]
Given the following data:
Center (h, k) = (7, 0)
Vertex (h+a, k) = (7, 4)
Focus = (h+c, k) = (7, 5)
Also, we can deduce that the value of a and c are 4 and 5 respectively.
For the value of b, we would apply Pythagorean's theorem:
c² = a² + b²
b² = c² - a²
b² = 5² - 4²
b² = 9.
Substituting the parameters into the standard equation, we have:
[tex]\frac{x\;-\;7}{4^2} + \frac{y\;-\;0}{3^2} = 1\\\\\frac{x\;-\;7}{16} + \frac{y}{9} = 1[/tex]
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urgent help needed algebra 2
The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
The given equation is;
(x + 5) - ( 2x - 3) = 6
To solve;
(x + 5) - ( 2x - 3) = 6
Distribute the negative;
(x + 5) - 2x + 3 = 6
we need to get the like terms together;
x - 2x + 5+ 3 = 6
-x + 8 = 6
Subtract 8 from both sides, we get;
-x = -2
x = 2
Hence, the solution of the given equation is 2.
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. . . , , ,
help please
The system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3
How to determine the inequalities?The complete question requires that we determine the system of inequalities of the graph (the graph is attached)
Going by the list of options, the equation of the quadratic curve is:
y = x² + 2x - 3
From the graph, we can see that:
The curve uses a dotted lineThe upper part is shadedThe above means that the inequality is greater than i.e. >
So, we have:
y > x² + 2x - 3
The above eliminates options (b) and (c)
From the graph, we can see that the straight line has a positive slope, a dotted line and the upper part is shaded.
The linear inequality in option (a) has the above characteristics.
So, the inequality is:
y > 2x + 3
Hence, the system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3
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How to graph -x^2-2x+6
The graph is shown in the attached image.
simplify (4+i)(3-2i)
Answer: 14 - 5i
Step-by-step explanation:
Answer:
-10i+15 or 15-10i
Step-by-step explanation:
Use the cross multiply method
(4+1)(3-2i)
4x3=12
4x-2i=-8i
1x3=3
1x(-2i)=-2i
now we sum our similarities.
-10i+15
