Answer:
31 and 37
Step-by-step explanation:
Those are the only two numbers
Answer:
The two numbers between 30 and 40 which have only 2 factors are -
31 and 37
Hope it helps you.
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 .
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.
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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
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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
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.
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
Find all real numbers x such that x^2 < 4. Give your answer in interval notation.
Inequalities help us to compare two unequal expressions. For all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the inequality x²<4, whose solution can be calculated as shown below.
x² < 4
x² - 4 < 0
x² - 2² < 0
(x+2)(x-2)<0
x = (-2, 2)
Hence, for all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).
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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
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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.
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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
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.
(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
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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.
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When does the rock hit the ground? the rock hits the ground between seconds and seconds after it is dropped.
Between 2 seconds and 2.5 seconds, the rock hits the ground after it is dropped.
What are distance and time?
A distance-time graph shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the Y-axis. Time is plotted on the X-axis.As you can see at 2s the height of the rock is 0.4m and at 2.5s it is -10.6m, which tells us that in between these values the height would have been 0m, as the movement of the rock is uniform in direction and hence, the rock will hit the ground between 2s and 2.5s.
The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped.
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Which table represents a function?
Answer:
choice d
Step-by-step explanation:
I hand this question
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
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.
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find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
Answer:
334 in^2.
Step-by-step explanation:
The surface area = area of the top prism + area of the bottom - 2 * area of the base of the top smaller prism
= 2(5*3 + 5*3 + 3*3) + 2(9*7 + 9*5 + 7*5) - 2* 3*5
= 2* 39 + 2*143 - 30
= 334
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.
if in Ashford the lights come on at 6:20pm and go off 11 1/2 hours later what time will it be?
Geometry: Complete these proofs, ASAP!!!
The complete proofs are:
Proof 1
a || b; c || d ⇒ Given∠5 is supplementary to ∠4 ⇒ ∠5 + ∠4 = 180∠2 = ∠4 ⇒ Definition of corresponding angles ∠5 + ∠2 = 180 ⇒ Substituting property of equality∠5 + ∠2 = 180 ⇒ Definition of supplementary anglesProof 2
BD bisects ∠ABC; AD || BC; AB || CD ⇒ Given∠3 ≅ ∠4 ⇒ Definition of congruent angles∠1 ≅ ∠3 ⇒ Definition of corresponding angles ∠1 ≅ ∠4 ⇒ Definition of corresponding angles How to complete the proofs?Proof 1
Lines a & b and c and d are given as parallel lines.
So, we have
a || b; c || d ⇒ Given
From the question, we have:
∠5 is supplementary to ∠4
So, we have
∠5 + ∠4 = 180
This is so because supplementary angles add up to 180
Corresponding angles are equal.
So, we have:
∠2 = ∠4
By the substituting ∠2 for ∠4 in ∠5 + ∠4 = 180, we have
∠5 + ∠2 = 180
Hence, angles ∠5 and ∠2 are supplementary angles
Proof 2
Line BD bisects angle ABC; lines AD & BC and AB & CD are given as parallel lines.
So, we have
BD bisects ∠ABC; AD || BC; AB || CD ⇒ Given
From the question, we have:
∠3 ≅ ∠4 ⇒ Definition of congruent angles
∠1 ≅ ∠3 ⇒ Definition of corresponding angles
Substitute ∠1 ≅ ∠3 in ∠3 ≅ ∠4
∠1 ≅ ∠4
Hence, the angles 1 and 4 are congruent
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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.
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
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.
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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
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!
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.
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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:
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
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r(x) = a sinx
what is the value of a
How do you expressed the difference in the measures of center as a multiple of the measure of variation in a box plot when the IQ ours are different
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).
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