Find the distance between the two points.
(-2, 5) and (4, -1)
Answer:
Step-by-step explanation: the distance is 6 but if you're talking decimal then the distance is 1.4142
It costs $2 to download a song and $12 to download an entire album. Jorge has $50 to spend on downloading music. Create an inequality that represents the number of songs (s ) and albums (a ) that Jorge could download.
The inequality that represents the number of songs and albums that Jorge could download is:
$2*s + $12*a ≤ $50
How to write the inequality?Here we have the variables:
s = number of songs.
a = number of albums.
Then the total cost can be written as:
$2*s + $12*a
And we know that Jorge has a maximum of $50 to spend, so the total cost can be equal to or smaller than $50, so the inequality is:
$2*s + $12*a ≤ $50
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1
4
1 point
TYPE the expression below using the MathQuill function. (No simplifying or solving needed, just retype!)
2x³+42³-√49
The expression below using the MathQuill function is 2x^3+42^3-\sqrt\left(49\right).
Given expression:
= 2x³+42³-√49
Expression:
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
After using MathQuill function:
2x³+42³-√49 = 2x^3+42^3-\sqrt\left(49\right).
Therefore The expression below using the MathQuill function is 2x^3+42^3-\sqrt\left(49\right).
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Jason solved the following equation to find the value for x. -8. 5x – 3. 5x = –78 x = 6. 5 describe how jason can check his answer.
Jason can check his answer isolate the variable, solving the operations and substituting the (x) value in the equation.
The clearance rules to solve the problem are the following:
What is adding goes to the other side of the equality by subtracting.What is multiplying goes to the other side of the equality by dividing.The sign rules to solve the problem are the following:
Two like signs add the values and keep the common sign.Two unlike signs subtract the values and use the highest value sign.Solving the equation we have:
-8. 5x – 3. 5x = –78
Two like signs add the values and keep the common sign.
-12x = -78
What is multiplying goes to the other side of the equality by dividing.
x = -78 / -12
x = 6.5
Substituting the (x) value in the equation we can check the answer and we get:
-8. 5x – 3. 5x = –78
-8.5(6.5) - 3.5(6.5) = -78
-55.25 - 22.75 = -78
- 78 = - 78
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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30 Points!!
Thank you!
HELP ME ASAP!! PLEASEEE I GOTTA SUBMIT THIS IN 10 MINUTES
Answer:the last option
Step-by-step explanation:
56 women make up an all female choir in a church. Two women are choen to ing together for a duet. How many poible pair could be choen for the duet?
The number of possible pair that could be chosen for duet is 1540 .
In the question ,
it is given that ,
total number of females in the choir group = 56 women
for duet the number of females that are required = 2 ,
the number of possible pair that can be chosen for the duet = ⁵⁶C₂ ,
⁵⁶C₂ = (56 × 55 × 54!)/2! × (56 - 2)!
= (56 × 55 × 54!)/2! × 54!
cancelling out the common factor 54! , we get
= (56 × 55)/2 .... because 2!= 2
= 28 × 55
= 1540
Therefore , The number of possible pair that could be chosen for duet is 1540 .
The given question is incomplete , the complete question is
56 women makes up an all female choir in a church. Two women are chosen to sing together for a duet. How many possible pair could be chosen for the duet ?
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15= x/6 -1
please respond quick
Answer:
The answer to your questions is 96.
5.375 divided by 0.25 explained
The division of 5.375 divided by 0.25 results to 21.5
What is Division?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components. How many groups will be created,
for instance, if 30 students need to be separated into groups of five for a sporting event?
In this case, we must divide 30 by 5. 30 x 5 = 6 will be the outcome.
Given:
5.375 divided by 0.25
Now, dividing the above decimal
= 5.375/ 0.25
= 5375 x 100 / 25 x 1000
= 215 / 10
= 21.5
Hence, the division results to 21.5
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Tomas drives 75 km at an average speed of 110 km/h and then 7 km at 40 km/h without stopping. What is the average speed for the whole journey to 1 dp?
The average speed for the whole journey is 95.3km/hour
What is average speed?The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.
Average speed = Total distance/total time taken
The distance covered in the first journey is 75km and the time spent is calculated as Distance/speed
= 75/110 = 0.68hour
The time used for the second journey is
= distance/speed
= 7/40 = 0.18 hour
The total time spent = 0.68+0.18 = 0.86 hour
The total distance traveled = 75+7 = 82km
Therefore the average speed = 82/0.86 = 95.3 km/hour.
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the function that models the percent of children taking antidepressants from 2004 to 2009 is f(x)=-0.086x+2.92, where x is the number of years after 2000.
a. find the inverse of this function. what do the outputs of the inverse function represent?
b. use the inverse function to find when the percentage is 2.3%.
The evaluation of the inverse of the function, f(x) = -0.086·x + 2.92 are;
a. The inverse of the function is f⁻¹(x) = -11.63·x + 33.95
B. The inverse function gives the number of year after 2000 when the percentage of children taking antidepressants is equal to x
b. The percentage of children taking antidepressant is 2.3% in 2007
What is the inverse of a function?The inverse of a function is a function that gives the input from the output such that it undoes the function's effect.
The function that indicates the percentage of children taking that take antidepressants from from the year 2004 to the year 2009 is presented as follows;
f(x) = -0.086·x + 2.92
x = The number of years after the year 2000
The inverse of the function can be obtained by making x the subject of the function formula as follows;
f(x) = -0.086·x + 2.92
f(x) - 2.92 = -0.086·x
x = (f(x) - 2.92)/(-0.086) ≈ -11.63·f(x) + 33.95
x ≈ -11.63·f(x) + 33.95
Which through plugging in f⁻¹(x) = x, and f(x) = x,
Indicates;
f⁻¹(x) = -11.63·x + 33.95
In the inverse function, the argument is the percentage, while the output is the number of years, f⁻¹(x)
When x = 2.3,
f⁻¹(2.3) = -11.63×2.3 + 33.95 ≈ 7.2
The inverse when the percentage is 2.3% is 7.2 years
a. The inverse function is f⁻¹(x) = -11.63·x + 33.95
The output of the inverse function represents the number of years since 2000 when the percentage of the children taking antidepressants is x. The correct option is option B
b. The year in which the number of children taking antidepressant equals 2.3% is 2,000 + 7 = 2007
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n is a negative number.
Which statement is correct?
Choose only one answer.
A n +8 is always positive
B
C
n +8 is always negative
n + 8 cannot be zero
D
n+ 8 could be positive or negative or zero
Required correct statement is n+ 8 could be positive or negative or zero.
What is a negative number?
A negative number is any number less than zero. For example, -8 is a number that is seven less than 0. It may seem odd to say that a number is less than 0. After all, we often think that zero means nothing.
Option A: n + 8 is always positive is not correct since n is negative and adding a positive number (8) to a negative number will give a negative or zero result.
Option B: n + 8 is always negative is not correct since adding a positive number (8) to a negative number will give a negative or zero result, not always negative.
Option C: n + 8 cannot be zero is a wrong statement, if we put value of n = -8 then we will get zero as answer.
Option D: n + 8 could be positive or negative or zero is correct since it depends on the value of n.
If n is a large negative number, n + 8 could still be negative. If n is a small negative number or zero, n + 8 could be positive or zero.
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Correct question is "n is a negative number.
Which statement is correct?
Choose only one answer.
A) n +8 is always positive
B) n +8 is always negative
C) n + 8 cannot be zero
D) n+ 8 could be positive or negative or zero"
Square root 42 as a decimal
Answer:
6.481.
Square Root of 42 in Decimal Form: 6.481.
a student 6 ft tall is standing 20 feet away from a 35 ft tall flagpole. The flagpole is 60 ft away from the building. From the student point of view, the top of the flag pole is lined up perfectly with the top of the building, how talls the building
Step-by-step explanation:
between the student and the flagpole we create a trapezoid with the line of sight to the top of the flagpole and the ground connection between the student's feet and the flagpole being the other 2 sides.
and between the flagpole and the building we create a similar trapezoid.
the line of sight to the top of the building and the ground connection between the flagpole and the building are the other 2 sides.
since both shapes are created from the same projection (the "projector" is somewhere behind the student on the ground), they are truly and mathematically similar.
that means that the angles of one trapezoid are the same as in the other trapezoid.
and - there must be one constant scale factor between all the sides (or for any other lengths in or on the trapezoids) of one trapezoid to the sides of the other trapezoid.
we know the ground distances and how they relate :
20 ft to 60 ft
that means 20/60 = 1/3
so, any length of the first (smaller) trapezoid is 1/3 of the corresponding length of the second (larger) trapezoid.
so, we know the height of the flagpole (35 ft).
the height of the building must follow the same ratio (scaling factor) as the ground distances.
flagpole height = building height × 1/3
3× flagpole height = building height = 3×35 = 105 ft
the building is 105 ft tall.
A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.
The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447
There is not sufficient evidence to reject the company's claim.
Z Test of Hypothesis for the Mean
Data
Null Hypothesis m =120
Level of Significance 0.05
Population Standard Deviation 12
Sample Size 49
Sample Mean 122.5
Intermediate Calculations
Standard Error of the Mean 1.7143
Z Test Statistic 1.4583
Two-Tail Test
Lower Critical Value -1.9600
Upper Critical Value 1.9600
p-Value 0.1447
Do not reject the null hypothesis
Hence, the p value foe that particular interval is 0.1447
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can someone help me really quick
Answer:
1/2 teaspoon of salt per 1 teaspoon of baking soda.
Step-by-step explanation:
If you're starting with 1/2 tsp of baking soda and 1/4 tsp of salt, you can multiply that by two and still have the same ratio of salt to baking soda.
:)
Solve for y.
2/5(10y-5)-2y + -10
Solve for x.
− 3.28 = −5.34
The solution for y and x in the expressions given as 2/5(10y-5) =2y + -10 and x − 3.28 = −5.34 are y = 6 and x = -2.06, respectively
How to determine the solution to the variable x and y in the expressions?Variable y
From the question, the algebraic expression is given as
2/5(10y-5) =2y + -10
Open the brackets
This gives
4y - 2 = 2y + -10
Collect the like terms in the above equation
So, we have the following representation
4y - 2y = 10 + 2
Evaluate the like terms
2y = 12
Divide by 2
y = 6
Variable x
Here, we have
x − 3.28 = −5.34
There is a constant to add to or subtract from the expression
So, we add 3.28 to both sides
x = 3.28 − 5.34
Evaluate the like terms
x = -2.06
Hence, the solution is x = -2.06
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Write the number as a square. 1c) 5 19/25
Answer:
5 19/25 = (12/5)² or (2 2/5)²Step-by-step explanation:
Given Number 5 19/25Write it as a square5 19/25 = (5*25 + 19) / 25 = 144 / 25 = 12² / 5² = (12/5)²or
(2 2/5)²Answer:
[tex]\left(\dfrac{12}{5}\right)^2=\left(2\frac{2}{5}\right)^2[/tex]
Step-by-step explanation:
Given mixed number:
[tex]5 \frac{19}{25}[/tex]
Rewrite the given mixed number as an improper fraction:
[tex]\implies 5 \frac{19}{25}=\dfrac{5 \times 25+19}{25}=\dfrac{125+19}{25}=\dfrac{144}{25}[/tex]
Rewrite 144 as 12² and 25 as 5²:
[tex]\implies \dfrac{144}{25}=\dfrac{12^2}{5^2}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^c}{b^c}=\left(\dfrac{a}{b}\right)^c:[/tex]
[tex]\implies \dfrac{12^2}{5^2}=\left(\dfrac{12}{5}\right)^2[/tex]
Convert 12/5 to a mixed number:
[tex]\implies \left(\dfrac{12}{5}\right)^2=\left(\dfrac{10+2}{5}\right)^2=\left(\dfrac{10}{5}+\dfrac{2}{5}\right)^2=\left(2\frac{2}{5}\right)^2[/tex]
Please help me please
Answer:
d) [tex]4x+23=10x-1[/tex]
Step-by-step explanation:
This is an isosceles triangle, which is defined as having two equal sides, and two equal angles corresponding to those sides.
Given this definition, it can be said that [tex]4x+23[/tex] is equal to [tex]10x-1[/tex]. Therefore,
[tex]4x+23=10x-1[/tex]
in a data set with 20 variables, if 8% of the values, randomly spread across observations, are missing (blank), what is the probable percent of complete and usable observations?
The probable percentage of complete and usable observation is 18.87%
Probable percentage is probability of a certain event which can be written as percentage
Total number of variables in data set = 20 variables
percentage of randomly spread missing observation in data set = 8%
percentage of non missing observation in data set = 100% - 8%
= 92%
changing percentage into number = 92 / 100
= 0.92
Probable percentage of complete and usable observation =
(0.92)²⁰ × 100
solving the power
0.18869 × 100
= 18.87
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HELPPP!!!
The park entrance is located at (-3,7). Emily want to know the distance from the entrance to the garden at point (3,-2). What is the distance?
The distance from the entrance which is located at (-3,7) to the garden at points (3,-2) is [tex]3\sqrt{13}[/tex].
First, let us understand the distance formula:
The distance formula is the measurement of the distance between 2 points. It calculates the straight line distance between the given points.
The distance formula is given by:
Distance = [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex]
Where A(a, b) and B(c, d) are the coordinates.
We are given;
The park entrance is located at (-3, 7).
Another point at (3, -2).
We need to find the distance from the entrance to the garden at another given point.
Substitute the given values in the distance formula, we will get;
Distance = [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex]
Distance = [tex]\sqrt{(-3-3)^2+(7-(-2))^2}[/tex]
Distance = [tex]\sqrt{(6)^2+(9)^2}[/tex]
Distance = [tex]\sqrt{36+81}[/tex]
Distance = [tex]\sqrt{117}[/tex]
Distance = [tex]3\sqrt{13}[/tex]
So, the distance between the given points is [tex]3\sqrt{13}[/tex].
Thus, the distance from the entrance which is located at (-3,7) to the garden at points (3,-2) is [tex]3\sqrt{13}[/tex].
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t(n)=120+12n
solve the equation for t(n)=500
Answer: n = 31.66666667
Step-by-step explanation:
Add '-12n' to each side of the equation.
500 + -12n = 120 + 12n + -12n
Combine like terms: 12n + -12n = 0
500 + -12n = 120 + 0
500 + -12n = 120
Add '-500' to each side of the equation.
500 + -500 + -12n = 120 + -500
Combine like terms: 500 + -500 = 0
0 + -12n = 120 + -500
-12n = 120 + -500
Combine like terms: 120 + -500 = -380
-12n = -380
Divide each side by '-12'.
n = 31.66666667
Simplifying
n = 31.66666667
( 1/2 )² - 6 ( 2- 2/3 ) as a fraction in the simplest form?
Answer:
the answer is-7
Step-by-step explanation:
Answer:
Exact form: -31/4
Decimal form: -7.75
Mixed number form: -7 3/4
Which is the best deal for a jar of jelly?
Question 5 options:
A: $1.26 for 6 oz
B: $1.52 for 8 oz
C: $2.30 for 10 oz
D: $2.40 for 12 oz
Answer:
B. $1.52 for 8 oz
Step-by-step explanation:
$1.26/6=$0.21
$1.52/8=$0.19
$2.30/10=$0.23
$2.40/12=$0.2
$0.19<$0.2<$0.21<$0.23
" I hoped I helped you : - ) "
A plant is 14 inches tal. If it grows 3 inches per year, how many years will it take to reach a height of 38 inches?
Find the slope given the ordered pairs: (-3, -2) and (-3, -5)
Answer: The slope is 0
Step-by-step explanation:
Use the slope formula. -5-(-2)/-3-(-3)
-5+2/-3+3=0
Write each number in expanded notation, first without and then with exponents 20,304
The value of 20,304 using exponents will be 2.0304 × 10⁴.
What is an exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
In this case, the value of 20,304 will be:
= 2.0304 × 10000
= 2.0304 × 10⁴.
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7. passes through (-3,2)
Vertex (-5, -6)
Write the equation in vertex form
y = a(x-h)² + k
The equation in vertex form would be y = [tex]2(x+5)^{2}[/tex] -6
What is vertex of a curve?The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x2 term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
The standard equation of a parabola is
y=a[tex]x^{2}[/tex]+bx+c .
But the equation for a parabola can also be written in "vertex form":
y= a(x-h)² +k
if the curve passes through (-3, 2) and the coordinates of vertex h = -5, K= -6, then we can find a by simple substitution
2 = a[tex](-3 + 5)^{2}[/tex] - 6
2 = a([tex]2^{2}[/tex]) - 6
2 = 4a - 6
collecting like terms
4a = 2 + 6
4a = 8
dividing both sides by 4
a = 8/4
a = 2.
So the equation of parabola in vertex form is y = 2[tex](x+5)^{2}[/tex] - 6
In conclusion, the equation of parabola in vertex form is 2[tex](x+5)^{2}[/tex] - 6
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Answer: Answer is below
Step-by-step explanation:
Angles 1 and 5 and 8 are the same.
Angles 2 and 3 and 6 and 7 are the same.
180-138=42 degrees
So the obtuse are 138 and the acute are 42.
Angle 1 is 138 degrees
Angle 2 is 42 degrees
Angle 3 is 42 degrees
Angle 5 is 138 degrees
Angle 7 is 42 degrees
Angle 8 is 138 degrees
Angle 6 is 42 degrees
Hope it helped and have a nice weekend!
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Answer:
Angle 4 is 138 and opposite angles are the same! That makes angle 1, 5, and 8 the same as 4 which is 138!
We need to subtract to find the other 4 angles!
180 - 138 = 42 degrees
Angles 2, 3, 6 and 7 will be 42 degrees!
Have an amazing day!!
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What's the value of the expression below?
40÷[20−4⋅(7−4)]
Answer:
5
Step-by-step explanation:
Answer:
The answer for the question is five!