Answer: 5.2
Step-by-step explanation:
If we put both points on a grid, Jordan's house would be 4 points above and 3 points to the left of Ca'Miyah's. We can plug these two amounts into the pythagorean theorem to find the distance between the houses: 4^2 + 3^2 = x^2. If we solve this equation, we get 5.196, which rounds to 5.2.
Hope this helps!
i am equivalent to 5/6 the sum of my numerator and my denominator is 44 the sum of the digits in my denominator is 6 what fraction am i
Step-by-step explanation:
a/b = 5/6
a + b = 44
a = 44 - b
so, the first equation is
(44 - b)/b = 5/6
44 - b = 5b/6
264 - 6b = 5b
264 = 11b
b = 24
a = 44 - b = 44 - 24 = 20
the fraction is a/b = 20/24.
Also 2+4 as sum of the digits of the denominator = 6 is correct.
PLEASE CAN SOMEONE HELP ME I"M STUCK PLEASE I WOULD REALLY APPRECIATE!!
Answer:
Step-by-step explanation:
subsitute x with value given in bracket
a) f(1) = (1)² + 1 = 2
b) f(-3) = (-3)² + 1 = 10
c) f(b³) = (b³)² + 1 = b^6 + 1
d) f(x-1) = (x-1) +1 = x
A new go-cart track has opened up in your neighborhood. They charge $10 for a license and $3 for each ride . If you paid in total of $22 , how many rides did you take
Answer:
Step-by-step explanation:
4 rides
Answer:
4 rides is the answer to this question
Find point G on AB such that the ratio of AG to GB is 3:2.
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
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Evaluate the expression −x^2 + 2x-7 when X=-4
in the figure below.
L
(a) Name a diameter:
(b) Name a radius:
[
(c) Name a chord:
(d) If the length of GK is 6 units,
what is the length of JL?
X
units
Diameter = GK
Radius= JL
Chord= HI
JL=3
A circle is a fundamental 2D form whose radius is quantified. The interior and exterior parts of the aircraft are separated by the circles. It is similar to the type of line segment. Consider the line segment being bent till the ends meet. Make sure the loop is perfectly circular by arranging it.
A two-dimensional figure with an area and perimeter is a circle. The distance around a circle, or its circumference, is also known as its perimeter. The area of a circle is the area that it surrounds on a 2D plane.
radius = diameter /2
Diameter = GK
Radius= JL
Chord= HI
Since radius is half of diameter,
So, JL =GK/2 =6/2
= 3
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Find the sum horizontally.
(ab²+26²)+(-6cab² +26²)=
we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.
We are given the expression:
(a b² + 26² ) + ( - 6 c a b² + 26² )
We need to find its sum.
a b² + 26² - 6 c a b² + 26²
a b² - 6 c a b² + 26² + 26²
a b² - 6 c a b² + 676 + 676
a b² - 6 c a b² + 1352
a b² ( 1 - 6 c) + 1352.
Therefore, we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.
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an example of a unti price youd find in germany-
Name:
#5 Go Tigers!
Seven days a year, Tiger Stadium becomes the fifth largest city
in the state of Louisiana. Over 92,000 fans pack the stadium to
watch the Tigers play. After the game, if the fans leave at a rate
of 10% per minute, how long will it take before the stadium is
half empty?
Partner Name:
Circle:
EQUATION
y = abx
GRAPH (label the x, and y-axis, plot the four points from the table, and connect the dots to receive full credit)
X
a =
TABLE
or y = a (1+r)*
Identify if it is a GROWTH or DECAY by circling
Write your equation:
After the game, if the fans leave at a rate of 10% per minute, how long will it take before the
stadium is half empty?
b =
f(x)
MEANING OF THE EQUATION
Answer:
3/2
Step-by-step explanation:
Please help thank youuu
Answer:
f(-7) = -15
g(-3) = 27
Step-by-step explanation:
We see that the functions defined are:
f(x) = 2x - 1
AND
g(x) = 2x^2 - 3x
This problem asks to find f(-7) and g(-3). To find this, we have to plug the respective numbers into the respective functions.
f(-7) = 2 (-7) - 1
f(-7) = - 14 - 1
f(-7) = -15
g(-3) = 2(-3^2) - 3(-3)
g(-3) = 2(9) + 9
g(-3) = 18+9
g(-3) = 27
FINAL ANSWER: f(-7) = -15, g(-3) = 27
Which of the following is an equivalent expression of 15x2 +12x + 8?
Answer:
15 (x + 2\/5)^2 + 28\/5
Step-by-step explanation:
Researchers wanted to determine if there was an association between the level of happiness of an individual and their risk of breast cancer. The researchers studied 1813 people over the course of 5 years. During this 5-year period, they interviewed the individuals and asked questions about their daily lives and the hassles they face. In addition, hypothetical scenarios were presented to determine how each individual would handle the situation. These interviews were videotaped and studied to assess the emotions of the individuals. The researchers also determined which individuals in the study experienced any type of breast cancer over the 9-year period. After their analysis, the researchers concluded that the happy individuals were less likely to experience breast cancer. (a) What type of observational study was this? Explain. (b) What is the response variable? What is the explanatory variable?
The answers to all the subparts of the question are shown below.
What is an observational study?An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints. One common observational study is about the potential effect of a treatment on subjects, where the assignment of subjects to a treated versus a control group is beyond the investigator's control.(A) What type of observational study was this?
Because all information about the individuals was gathered at one point in time, this was a cross-sectional study.(B-1) What is the response variable?
Whether or not the woman has IDC breast cancer is the response variable. The qualitative response variable is used.(B-2) What is the explanatory variable?
Whether or not the woman has IDC breast cancer is the explanatory variable.Therefore, the answers to all the subparts of the question are shown.
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please help (clearer photo)
Step-by-step explanation:
2a: Domain [3,7] Range: [1,5]
2b: domain: (-infinity, 1] Range: All real numbers
2c: domain [-3, 6] range [-4,2]
2d: (-infinity,-2] U (2, infinity] range: [0, infinity)
2e domain is [0, infinity) range is all real numbers
Which of the following identifies the individuals in the
set?
The individuals of a set are the various data or variable of a data set.
The study's participants or study subjects are referred to as individuals. The trait of the person being measured or observed is known as a variable. For instance, if we were to do a research on climbers of Mount Everest, the participants would be the real climbers who succeeded in reaching the summit.
A categorical variable places each individual in to a category such as male or female.
A quantitative variable has numerical values that measure some characteristic of each individual, such as height in centimeter or salary in dollars.
The problem deals with the concept of types of variables. We use the definition of variables to identify/determine the type variable from the known information.
The individuals in the data set are vehicles or cars.
The given information is related to the different types of cars and its model, and specifications. Hence, the vehicles or cars are individuals in the data set.
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Solve the given initial-value problem. the de is a bernoulli equation. y1/2 dy dx y3/2 = 1, y(0) = 9
A differential equation with some initial conditions is used to solve an initial value problem.
The required particular solution is given by the relation:
[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]
What is meant by an initial-value problem?An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.
Let the given equation be [tex]$y^{1/2} dy\ dx y^{3/2} = 1[/tex], y(0) = 9
[tex]$(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1[/tex] …..(1)
Divide the given equation (1) by [tex]$\sqrt{ y} $[/tex] giving
[tex]$y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$[/tex], which is in Bernoulli's form.
Put [tex]$u=y^{(1+1 / 2)}=y^{(3 / 2)}$[/tex]
Then [tex]$(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$[/tex].
Multiply (2) by [tex]$\sqrt{ } y$[/tex] and we get
[tex]y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1[/tex]
(2/3) [tex]u^{\prime}+u=1$[/tex] or [tex]$u^{\prime}+(3 / 2) y=3 / 2$[/tex],
which is a first order linear equation with an integrating factor
exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is
[tex]u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$[/tex] or
[tex]\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}[/tex]
To obtain the particular solution satisfying y(0) = 4,
put x = 0, y = 4, then
8 = (9/4) + c
c = (23/4)
Hence, the required particular solution is given by the relation:
[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]
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5. Analyze and Persevere A recipe calls for 0.5 cup of milk. Express the number of cups of milk as a fraction.
The number of cups of milk when represented as fraction is expressed as 1/2 cup.
Given a recipe indicates 0.5 cup of milk.
A numerical value that designates a portion of a whole is used to represent fractions.A fraction is a part or portion that is taken from the total, which might be any number, a specific sum, or an item.
To convert it into fraction, we first need to remove the decimal.
5/10
when 5 is divided by 10 we get 0.5, hence we have removed the decimal and converted it into its orignal form.
Now multiply and divide by 5.
= 5 × 5/10 × 5
= 1/2
we get the fraction part as 1/2
Hence 0.5 cup of milk represent 1/2 cup of milk as a fraction.
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oi i need an answer for this question what number is the blue dot imma get some woh'oh please answer
15.
if the measure of angle 2 is 8x + 10 and the
measure of angle 6 is x^2-38, what is the measure
of angle 8
a. 42
b. 74
c. 84
d. 106
e. 138
The measure of the angle 8 is option (d). 106.
Measure of Angle
Angle measurement is the amount of rotation from the initial to an endpoint of a ray.
Given,
Measure of Angle 2 = 8x + 10
Measure of angle 6 = x² - 38
Here we need to find the measure of angle 8.
Let us consider the angle 2 and 6 are corresponding angles.
Then,
Measure of Angle 2 = Measure of Angle 6
Apply the corresponding values,
Then we get,
8x + 10 = x² - 38
It can be written as,
=> x² - 38 - 8x - 10 = 0
=> x² - 8x - 48 = 0
When we factorize the equation,
Then we get,
=> (x + 4) ( x - 12) = 0
Then the value of x will be x = -4 and 12.
Here the value of x can't be negative.
So,
=> x = 12
Now apply the value of x on the measure of angle 2,
=> 8(12) + 10
=> 96 + 10
=> 106
So, the measure of angle 8 is option (d). 106.
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What is b in this equation? -16 = 0.2b
Answer:
-16=0.2b
-16/0.2=b
b= -80 answer
Answer:
In the equation "-16 = 0.2b", b is equal to -80.
Step-by-step explanation:
-16 = 0.2b
Turn the decimal into a fraction. This will make solving simpler.
-16 = [tex]\frac{1}{5}b[/tex]
Multiply both sides by 5.
-80 = 1b
Simplify.
b = -80
Help? fraction multiplication as scaling AYUDA HELP
Answer:
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
Explanation below
Explanation belowHope this helps :)
Step-by-step explanation:
1/2 × 3/5 = 3/10
2 2/3 × 3/5 = 8/3 × 3/5 = 24/15
5/5 × 3/5 = 15/25
We need to find the Least Common Multiple (LCM) to order them from least to greatest.
The LCM is 150.
3/10 = 45/150
24/15 = 1 9/15 = 1 90/150
15/25 = 90/150
So the order from least to greatest is ...
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1000 lb. How many boxes of books can the delivery person bring up at one time?
If a delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.
Number of boxes of booksGiven:
Weight of the delivery person=160 lb
Weight of box of book=50 lb
Maximum capacity=1,000lb
Let b represent the number of boxes of books
Hence,
160+50b=1,000
Collect like terms
50b=1000-160
50b=840
Divide both side by
b=840/50
b=16.8 boxes of books
Therefore the maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.
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Ms. longora has two bags of wid- bird seed. the first bag has 20 ounces of wild- bird sod, and the second bag has 3; times as much wid-bird seed as the first. ms. longoria uses ; of the wild-bird seed from the larger bag to feed the birds in her backyard. how many ounces of wild-bird seed did she use?
Answer:
2
Step-by-step explanation:
i need asers pls now
342 = 2, 3, 6, 9
191 = no factors
1235 = 5
40320 = 2, 4, 8
16 = 2, 4, 8
78448 = 2, 4, 8
588 = 2, 4 , 12
67 = no factors
925 = 5
60043 = no factors
3663 = 3, 6
350 = 5
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Taynia makes a quilt using fabric squares.
The side length of each fabric square is
the square root of the area. The area of
each fabric square is 40 square inches.
Which could be the approximate side
length of a square on the quilt?
The approximate side length of a square on the quilt = 6.32 inch
In this question,
Taynia makes a quilt using fabric squares.
We have been given the side length of each fabric square is the square root of the area.
Here, the area of each fabric square is 40 square inches.
We need to find the approximate side length of a square on the quilt.
Let A be the area.
A = 40 square inches
To find the side length, we need to take the square root of 40.
Let s be the side length.
⇒ s = √A
⇒ s = √40
⇒ s = 6.32 inch
Therefore, the approximate side length of a square on the quilt = 6.32 inch
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Peter signed up for a program that cost $10.50 per month to stream movies to his computer. He decided to cancel the service after 5/6 month, he only has to pay for the amount of time he use the service. What number represents the total change in what amount of money Peter has after paying for the service.
In linear equation, $1.75 is amount of money Peter has after paying for the service.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Peter signed up for a program that costs $10.50 per month to stream movies to his computer.
He decided to cancel his service after 5/6 month.
So, has to pay for the amount of time he used the service
$10.50 . 5/6 = $175.5 = $8.75
The amount of money Peter has after paying for the service is
$10.50 - $8.75 = $1.75
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What is the slope of a line perpendicular to the line whose equation is 4x+5y=354x+5y=35. Fully simplify your answer.
The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4
At a used book sale, all paperback books are the
same price. Henry buys 4 paperback books for
$3.20. Lainey buys 9 paperback books.
Answer:
Uh Lainey spends 7.20$
Step-by-step explanation:
3.2/4 is 1 book price, 0.8 is one book price, so 9 books price is 0.8*9 which is 7.2
Find an approximate equation of the line that passes through the two given. Write the equation in slope-intercept form. Round the slope and the constant term to teo decimal places. (-4. 7,2. 7) and (1. 3,-7. 3)
The equation of the line in slope-intercept form passing through the points (-4.7 , 2.7) and (1.3 , -7.3) is y = -1.67x - 5.13.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given the two points, (-4.7 , 2.7) and (1.3 , -7.3), get the slope of the line using the formula:
m = (y2 - y1)/(x2 - x1)
m = (-7.3 - 2.7)/(1.3 - -4.7)
m = -10/6
m = -5/3
Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.
y = mx+ b
2.7 = -5/3(-4.7) + b
b = -77/15
Substitute the value of the slope and y-intercept in the slope-intercept form.
y = -5/3 x -77/15
y = -1.67x - 5.13
Hence, the equation of the line in slope-intercept form is y = -1.67x - 5.13.
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You work in a packaging store. A customer brings in a basketball to be put in a box. The available box is 25 centimeters (cm) on all sides, and the ball has a diameter of 9.55 inches.
Will the ball fit inside the box?
The ball will fit, because its diameter is approximately 12 cm.
The ball will fit, because its diameter is approximately 14 cm.
The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
The ball will not fit, because its diameter is approximately 3 cm longer than the side of the box.
The ball will not fit, because its diameter is approximately 14 cm longer than the side of the box.
Using the diameter concept, we have that the correct option is given by:
The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
What is the diameter of a circular or spherical object?The diameter of a circular or spherical object is the largest distance that can be formed between two parallel lines to it's boundary, hence, basically, the lateral distance occupied by the object.
For this problem, the diameter is in inches, while the available box is in cm, hence we have to convert the diameter to cm.
Each inch has 2.54 centimeters, hence the diameter of ball is of 9.55 x 2.54 = 24 (approximately) < 25, hence it will fit and the correct option is given by:
The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
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A yard has a perimeter of 190 feet. If four times the length of the yard equals 15 times the width, what are its dimensions
We get the dimensions of the park as length = 75 feet and width = 20 feet.
We are given that:
A yard has a perimeter of 190 feet.
Also, four times the length of the yard equals 15 times the width.
Now,
Let the length of the yard be x.
ATQ, we get the width of the yard as:
15 width = 4 x
Width = 4 / 15 x
Perimeter = 2 ( l + b )
190 = 2( x + 4 / 15 x )
95 = 19 x / 15
19 x = 95 × 15
19 x = 1425
x = 1425 / 19
x = 75 feet.
Length = 75 feet
Width = 4 / 15 x = 20 feet.
Therefore, we get the dimensions of the park as length = 75 feet and width = 20 feet.
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