Answer:
Rajani needs 7.8 (39/5) cups of yogurt to make 13 smoothies.
Step-by-step explanation:
3/5 = 0.6
The amount of cups of yogurt needed to make 13 smoothies = 13 x 0.6
This equals to 7.8 cups or 39/5 cups of yogurt to make 13 smoothies.
Hope this helps!
The SkyWheel has 42 glass enclosed gondolas. What is the measure of each central angle between gondola cars, to the nearest hundredth degree? (just write the numerical answer, no units) (5 points)
Answer:
8.57.
Step-by-step explanation:
that would be 360/42
= 8.5714
how do i solve this by factors
f(x) = (x+6) (x+4)
Answer:
[tex]x^{2} +10x+24[/tex]
Step-by-step explanation:
Answer:
=(x+1)^2-25
Step-by-step explanation:
=x(x−4)+6(x−4)
=x^2−4x+6x−24
=x^2+2x−24
=x^2+2x+1−25
=(x+1)^2-25
from your scale drawing, find the actual distance between the opposite corners of the school ball
The actual distance between the opposite corners of the school hall is; 10√34 m
How to use a Scale Drawing?The scale drawing showing the corners of the hall has been drawn and attached.
Now, from the attached scale drawing it was drawn with the scale;
1 cm to represent 5 m.
Now, the distance between the opposite corners of the hall measuring 50 m and 30 m is indicated as D on the scale drawing. Thus, to find the distance between the opposite corners, we will use Pythagoras theorem to get;
D² = 30² + 50²
D² = 900 + 3500
D² = 4400
D = √4400
D = 10√34 m
Thus, the actual distance between the opposite corners of the school hall is; 10√34 m
Complete question is;
Make a scale drawing of a rectangular school hall which is 50 m long and 30 m wide using a scale of 1 cm to 5 m. From your scale drawing, find the actual distance between the opposite corners of the hall.
Read more about Scale Drawing at; https://brainly.com/question/15891755
#SPJ1
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!
Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!
Answer:
its the 4th one i think
Step-by-step explanation:
A researcher reports that her obtained chi square of -17.56 is significant because it exceeds the critical chi square of -3.841 for an alpha of .05 with 2 degrees of freedom. What mistake has been made
The mistake that the researcher made is that; neither critical nor obtained Chi squares can have negative values
How to check the chi - square statistic?
A chi-square statistic is one way to show a relationship between two categorical variables. In statistics, there are two types of variables: numerical (countable) variables and non-numerical (categorical) variables.
The chi-squared statistic is a single number that tells you how much difference exists between your observed counts and the counts you would expect if there were no relationship at all in the population.
Now, Chi square (χ²) is the sum of a set of squared values, and as such it can never be negative. The minimum chi - squared value would be obtained if each Z = 0 so that χ² would also be 0. There is no upper limit to the χ² value. Similarly, the critical chi square cannot also be negative.
Thus, we can conclude that the mistake that the researcher made is that neither critical nor obtained Chi squares can have negative values
Read more about chi - square statistic at; https://brainly.com/question/4543358
#SPJ1
3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____. 78 6 -6
The supplied lines' point of intersection has the x coordinate is 6.
What is coordinate geometry?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
The x coordinate of the location where the ensuing lines intersect must be chosen.
3x + 5y = 78 ...........................(1)
2x - y = 0 ...............................(2)
The given system of equations must be solved in order to determine the x coordinate of the site of intersection.
Equation (ii) provides us with
2x = y
y = 2x ........................(3)
Equation I yields the result when the value of y from equation (iii) is substituted.
3x + 5(2x) = 78
3x + 10x = 78
13x = 78
x = 78/13
x = 6.
As a result, the supplied lines' point of intersection has the x coordinate 6.
To know more about coordinate geometry visit:
https://brainly.com/question/12964550
#SPJ4
I understand that the question you are looking is :
3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____.
A. 7
B.8
C. 6
D. -6
if in Ashford the lights come on at 6:20pm and go off 11 1/2 hours later what time will it be?
90 times 2.5 divided by 3 +200,000?
Answer:
200,075
Step-by-step explanation:
90 times 2.5 = 225
225 divided by 3 = 75
75 + 200,000 = 200,075
Answer: 200075
Step-by-step explanation:
90 * 2.5 = 225
225 / 3 = 75
75 + 200,000 = 200,075
In what percentage of such groups (of 400) would 150 or fewer improve? round your answer to one decimal place
The percentage of such groups (of 400) would 150 or fewer improve is 16.60.
The percentage is a relative value indicating the hundredth component of any quantity. One percent (symbolized 1%) is the 100th element; as a result, 100 percent represents the entirety and 2 hundred percent specifies twice the given amount. percentage.
As finding 10% of a variety of means to divide through 10, it is not unusual to assume that to locate 20% of a variety you must divide through 20 and so on. Take into account, to discover 10% of the number of manner dividing through 10 because 10 is going into one hundred ten times. consequently, to discover 20% of various, divide via five due to the fact 20 is going into 100 five times.
In arithmetic, a percentage is a number or ratio expressed as a fraction of one hundred. it's far frequently denoted by the usage of the percentage signal, "%", although the abbreviations "pct.", "pct" and on occasion "computer" also are used. A percent is a dimensionless wide variety; it has no unit of size.
In what percentage of such groups (of 400) would
150
fewer improve?
i. e. PC X ≤ 150)
By using
-continuity correction we have to find.
PCX 150.5)= P "X-M1.6.150.5-160°
9.8
= p[ 2 < -0.97
By using the standard Normal table we get,
0.1660
P(X ≤150)
= 0. 1660 = 16.60 (
16.60 percent of such groups (of 400) would 150
fever improve.
Learn more about percentages here https://brainly.com/question/809966
#SPJ4
find the value of n:
[tex]\frac{10}{n} = \frac{15}{6}[/tex]
Step-by-step explanation:
Greetings !
Given expression
[tex] \frac{10}{n} = \frac{15}{6} [/tex]
cross multiply
apply fraction cross multiply
[tex]if \: \: \frac{a}{b} = \frac{c}{d} \: \: then \: \: a.d = b.c[/tex]
10.6=n.15
simplify:
10.6=60Thus, 60=n.15
switch sides
[tex]n.15 = 60[/tex]
divide both sides by 15
[tex] \frac{n.15}{15} = \frac{60}{15} [/tex]
simplify
[tex]n = 4[/tex]
Hope it helps!
A parabola opens up and passes through (-4, 2) and (6, -3). How do you know that (-4, 2) is not the vertex
Answer:
Step-by-step explanation:
The minimum is at the vertex of this parabola because it opens up.
Now if (-4, 2) is the minimum then all the y values on the parabola must be > 2,
But we are given that y = -3 is on the graph ( the point (6,-3) - that is y < 2 here,
Therefore (-4, 2) cannot be the vertex .
Which do you think is easier to understand and why do you think so, multiplying radicals or multiplying polynomials?
I believe that its easier to understand the multiplication of a radical than that of a polynomial.
How to illustrate the information?In mathematics, a radical is the opposite of an exponent that is represented with a symbol '√' also known as root.
A polynomial is an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division.
When multiplying radicals with the same index, multiply under the radical, and then multiply in front of the radical. An example is:
= 3✓2 × 4✓2
= 12✓4
= 12 × 2
= 24
The multiplication of a radical is easier.
Learn more about polynomial on:
https://brainly.com/question/2833285
#SPJ1
Please help I need the answer
The maximum value of P = x + 6y subject to the constraints is 9
How to determine the maximum value?The objective function is given as:
P = x + 6y
The constraints are given as:
2x + 4y ≤ 10
x + 9y ≤ 12
x≥0 y≥0
Rewrite 2x + 4y ≤ 10 and x + 9y ≤ 12 as equations
2x + 4y = 10
x + 9y = 12
Divide 2x + 4y = 10 through by 2
x + 2y = 5
Subtract x + 2y = 5 from x + 9y = 12
x - x + 9y - 2y = 12 - 5
Evaluate the difference
7y = 7
Divide by 7
y = 1
Substitute y = 1 in x + 2y = 5
x + 2(1) = 5
Solve for x
x = 3
So, we have
(x, y) = (3, 1)
Substitute (x, y) = (3, 1) in P = x + 6y
P = 3 + 6 * 1
Evaluate
P = 9
Hence, the maximum value of P = x + 6y subject to the constraints is 9
Read more about objective function at:
https://brainly.com/question/16826001
#SPJ1
Which table represents a function?
Answer:
choice d
Step-by-step explanation:
I hand this question
Mrs. Bailey has equal numbers of nickels and quarters but the value of the quarters is $1.80 more than the value of the nickels. What is the total value of all coins together in dollars and cents
Total value of all coins together is $2.7
Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.
1 Nickel = $0.05 and 1 quarter = $0.25.
Let number of nickels and number of quarter be x.
According to the situation
x.(0.25) = $1.80 + x.($0.05)
x(0.25 - 0.05) = $1.80
x (0.2) = $1.80
x = $1.80/0.2
x = 9 coins
Therefore total value of the currency is 9(0.05 + $0.25) = 9 (0.3) = $2.7
Thus total value of all coins together is $2.7.
Learn more about Linear equations here :
https://brainly.com/question/11897796
#SPJ1
please help meeeeee please please please
Answer:
quadratic: -3x²linear: 0x or "none"constant: 1Step-by-step explanation:
This is a question about naming parts of a polynomial. The attached image has more on the subject.
DegreeThe word "degree" refers to the number of times a variable is a factor in a term. When there is only one variable, the degree of the term is the exponent of the variable. A missing exponent is understood to be 1. A missing variable is understood to have a degree of 0.
When there are two or more variables, the degree of the term is the sum of their exponents.
In some cases, we're only interested in the degree associated with a particular variable. For example, 7x²y³ is a 5th-degree term that is 2nd degree in x and 3rd degree in y.
Quadratic termA "quadratic" term is one that has degree 2, or one in which the variable of interest has degree 2.
In the given function definition, the term -3x² is the quadratic term.
Linear termA "linear" term is one that has degree 1.
In the given function definition, there is no linear term.
If you must identify one, it would be 0x, a degree-1 term with a coefficient of 0.
Constant termA "constant" term is one that has no variables, or no variables of interest. It has degree zero.
For example, in the expression x² +2ax +a², when we are concerned with the variable x, the a² term is called the "constant" term because it does not contain the variable x. The same expression could be considered as a quadratic in 'a', in which case the x² term would be the "constant term."
In the given function definition, the term 1 is the constant term.
a man divides ₹90,000 among wife son and daughter in the ratio 1/3:1/4:1/6 . find amount received them
HELP ASAP
Consider functions H and K
What is the value of (h o k)(2)?
and look at this graph and please tell me what the answers are
Answer:
-3
Step-by-step explanation:
(h o k)(2) means
h( k(2)).
Remember when you have a function like f(x) or g(x) or h(x) or k(x), whatever number (or expression) is inside of the parenthesis, they're telling you to use that in place of x.
What h( k(2) ) means is we're going to put k(2) into h.
Well, what's k(2)? We need to find that first. k(x) is given as the oval and arrows thing going on there. If we're looking for k(2) then 2 is being the x. Find 2 in the first oval, follow the arrow to the output which is k(2).
If x = 2, the k(2)= -2
So back to
(h o k)(2):
(h o k)(2)
= h( k(2) )
= h(-2)
Since h(x)= 3/x+1
and x is -2, we'll put -2 in place of x.
h(-2) = 3/-2+1
= 3/-1
= -3
Two LORAN radio stations A and B are 160 kilometers apart and send a simultaneous radio signal to a ship.
The signal from B arrives 0.0003 seconds before the signal from A. If the signal travels 300,000 kilometers per second, find the equation of the hyperbola on which the ship is positioned. Use a coordinate system where the origin is the midpoint between the stations, and the stations lie on the x-axis.
The equation of the hyperbola on which the ship is positioned is x²/2025-y²/4375=1
Given that radio stations, A and B are 160 kilometers apart and the signal from B arrives 0.0003 seconds before the signal from A and the signal travels 300,000 kilometers per second.
The distance between radio station A and B are d=160 km.
The time is t=0.0003s.
The speed of the signal travel is v=300000 km/s.
Consider both radio stations A and B lie at foci on the x-axis.
The origin lies at the midpoint between the stations.
The distance of one of the stations from the origin is,
c=d/2
c=160km/2
c=80km
The centre of the hyperbola lies at (0,0), so both stations lie at coordinates points of (-80,0) and (80,0).
The expression for the difference in distance is,
I=vt
I=300000×0.0003
I=90km
The semi-major axis of the hyperbola is,
a=I/2
a=90km/2
a=45km
The expression for the semi-minor axis of the hyperbola is,
b²=c²-a²
b²=(80)²-(45)²
b²=6400-2025
b²=4375
The expression for the hyperbola on which the ship is positioned,
x²/a²-y²/b²=1
x²/(45)²-y²/4375=1
x²/2025-y²/4375=1
Hence, the equation of hyperbola on which the ship is positioned for radio stations, A and B are 160 kilometers apart and signal from B arrives 0.0003 seconds before the signal from A is x²/2025-y²/4375=1.
Learn more about equation of hyperbola from here brainly.com/question/20409089
#SPJ1
A certain disease has an incidence rate of 0.1%. If the false negative rate is 4% and the false positive rate is
2%, compute the probability that a person who tests positive actually has the disease.
Give your answer accurate to at least 3 decimal places
Answer:
probability of the personal information on the direction of the personal information to my house
What can you say about the characteristics of a linear funct i on that has a slope of 0? write a careful explanation of your answer. you may provide a mathematical example if you wish to help you illustrate your points, but you must also use sentenc es as a part of a written description.
The characteristics of a linear function that has a slope of 0 is a horizontal line that passes through the y-axis at y= b
How to determine the characteristics of a linear function that has a slope of 0?A linear equation is given as:
y = mx + b
Where m represents the slope of the linear equation.
When the value of is 0
i.e. m = 0, the equation becomes
y = 0 *x + b
Evaluate
y= b
The above equation is a horizontal line that passes through the y-axis at y= b
Hence, the characteristics of a linear function that has a slope of 0 is a horizontal line that passes through the y-axis at y= b
Read more about linear functions at:
https://brainly.com/question/1884491
#SPJ1
Very much appreciated skin!!!
Answer:
6
Step-by-step explanation:
Given an isosceles triangle the two sides opposite of congruent angles are equal to eachother, so you can create an equation setting the two sides equal to eachother and solve for x.
[tex]x+4=3x-8\\x=3x-12\\-2x=-12\\x=6[/tex]
The length of AC is simply x, therefore 6
The fact family model represents the relationship between the numbers 8, 7, and 15.
A triangle. 15 is in the top corner. 8 is in the bottom left corner. 7 is in the bottom right corner.
How do the numbers compare?
15 is 7 more than 8.
15 is 8 less than 7.
7 is 15 less than 8.
7 is 8 more than 15.
The fact family model that shows the relationship between the numbers 8, 7, and 15 in a triangle means that 15 is 7 more than 8.
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
The fact family (number family) is a group of equations that derive from a set of numbers.
Fact Family Triangle are used for Addition, Subtraction, Multiplication and Division
The fact family model that shows the relationship between the numbers 8, 7, and 15 in a triangle means that 15 is 7 more than 8.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
If two angles are right angles, then they are adjacent.
True
False
Answer:
False
Step-by-step explanation:
If two angles are right angles, then they are congruent.
r(x) = a sinx
what is the value of a
pretty please what is g(x)
The value of g(x) is 8x³ - 1 given that f(x) is (8x³ - 1)³, h(x) is x³ and f(x) = (h ° g) (x). This can be obtained by finding composite of (h ° g) (x) using the formula for composition.
Find the value of g(x):
Composition of a function : A composite function is created when one function is substituted into another.
f composite of g is denoted as (f ° g)
The formula to find the composite of a function,
(f ° g)(x) = f(g(x))For example,
f(x) = x + 2, and g(x) = 3x
(f ° g)(x) = f(g(x)) = g(x) + 2 = 3x +2 (g ° f)(x) = g(f(x)) = 3(f(x)) = 3(x+2) = 3x + 6
In the question,
Given that, f(x) = (8x³ - 1)³, h(x) = x³
f(x) = (h ° g) (x)
⇒ (8x³ - 1)³ = h(g(x))
⇒ (8x³ - 1)³ = (g(x))³
Taking cube roots on both sides,
⇒ ∛(8x³ - 1)³ = ∛(g(x))³
⇒ (8x³ - 1) = (g(x))
⇒ g(x) = 8x³ - 1
Hence the value of g(x) is 8x³ - 1 given that f(x) is (8x³ - 1)³, h(x) is x³ and f(x) = (h ° g) (x).
Learn more about composite of a function here:
brainly.com/question/20379727
#SPJ1
(02.02)A shape is shown on the graph:
24
-5 -4 -3 -2 -1
2-
C
Á
B
A
0
0
-24
-3-
-4-
-5-
-6-
-8-
-2
Which of the following is a reflection of the shape?
Based on the shape shown on the graph, the reflection of the shape would be b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.
What shape is the reflection?The coordinate grid that the shape would be reflected across is the y axis to get a reflection in the negative side of the x axis.
The first reflection would be of the point that is (2,2). It would be reflected to become (-2, 2).
The second reflection would be of point (2, 6) which would then be reflected to become (-2, 6).
Finally the third point would be of point (4, 2) which would then become (-4, 2).
In conclusion, the reflection was across the y axis.
Options include:
a) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 4, 2 and negative 4, 6.b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.c) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 2, 4 and negative 6, 2.d) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 2, negative 4 and 6, negative 2.Find out more on reflection at https://brainly.com/question/1908648
#SPJ1
Sketch the graph of the following equation: y=-3x-5
Answer is below attached
Step by step. We know y = -3x -5
The first point on the graph is -5 on the y axis. It is your y intercept.
The second point is your slope, which is the number next to the x, stated as y/x, -3/1.
You will graph this from the y-intercept as shown in red.
Then you can connect the points, shown with the blue line.
Select the correct answer from each drop-down menu.
A cell phone tower is shown. The edge of the base is 50 feet and the height is 200 feet.
Photograph of a cell phone tower.
What shape best models the object and what is the approximate surface area of that shape?
The best shape for the model is a
.
The approximate surface area is
square feet.
A square pyramid can be defined as a type of pyramid that has a square base, four (4) triangular sides, five (5) vertices, and eight (8) edges.
In this context, we can logically deduce that the geometric shape which best models the object (cell phone tower) shown in the image attached above is a square pyramid.
How to calculate surface area of a square pyramid?Mathematically, the surface area of a square pyramid is given by this formula:
A = a² + 2a√(a²/4 + h²)
Where:
A is the surface area of a square pyramid.a represents the edge of the base.h represents the height.Given the following parameters:
Edge of the base = 50 feet.
Height = 200 feet.
Substituting the given parameters into the formula, we have;
A = 50² + 2(50)√(50²/4 + 200²)
A = 2,500 + 100√(2500/4 + 40,000)
A = 2,500 + 100√(625 + 40,000)
A = 2,500 + 100√(40,625)
A = 2,500 + 100(201.56)
A = 2,500 + 20,156
A = 22,656 ≈ 22,500 ft².
In conclusion, the best geometric shape for the model is a square pyramid and the approximate surface area is equal to 22,500 square feet.
Read more on square pyramid here: https://brainly.com/question/23451268
#SPJ1
Answer:The best shape for the model is a square pyramid.
The approximate surface area is 22,500 square feet.
Step-by-step explanation: edmentum/plato answers
Which of these is a simplified form of the equation 7p 4 = − p 9 2p 3p? 13p = 13 3p = 5 7 = 4 11 = 15
Answer:
[tex]\boxed{\sf{3p=5}}[/tex]Step-by-step explanation:
To find:
The value of pGiven:
7p + 4 = −p + 9 + 2p + 3p[tex]\sf{7p+4=-p+9+2p+3p}[/tex]
Isolate the term of p, from one side of the equation.
Combine like terms.
[tex]\rightarrow \sf{7p+4=-p+2p+3p+9}[/tex]
Add the numbers from left to right.
-p+2p+3p=4p
7p+4=4p+9
Then, you subtract by 4 from both sides.
[tex]\sf{7p+4-4=4p+9-4}[/tex]
Solve.
7p=4p+5
Subtract by 4p from both sides.
7p-4p=4p+5-4p
Solve.
[tex]\boxed{\sf{3p=5}}[/tex]
Divide by 3 from both sides.
3p/3=5/3
Solve.
p=5/3
Divide is another option.
5/3=1.6666
So, the final answer is 3p=5.
I hope this helps, let me know if you have any questions.
