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Just wanted to ask if anyone has any advice on what maths textbooks to buy/things I can use to improve maths etc. I’m a grade 2 in maths and I find very difficult.
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Answer: Young gentleman. Here are some things you can use.
Step-by-step explanation: Calculator, Desmos (this was a website) ruler, protractor, math dictionary.
Noah, Preston, and Zach run a broken mechanical pencil disposal service. Noah works 2 hours more than Preston, and Zach works 4 hours less than twice the amount Preston does. If they work 94 hours total, how many hours does each of them work?
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Noah, Preston, and Zach work for 26 hours, 24 hours and 44 hours respectively
How to determine how many hours each of them works?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
Let N, P and Z represent the number of hours Noah, Preston, and Zach work respectively. Thus, we can write:
N = P + 2 ---- (1)
Z = 2P - 4 ---- (2)
N + P + Z = 94 ---- (3)
Put (1) and (2) in (3):
N + P + Z = 94
P+2 + P + 2P-4 = 94
4P -2 = 94
4P = 94 + 2
4P = 96
P = 96/4
P = 24
Since N = P + 2,
N = 24 + 2 = 26
Since Z = 2P - 4,
Z = 2(24) - 4 = 44
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Which of these numbers is equivalent to 5.1 ÷ (–2)?
A. -25.5
B. -2.55
C. 2.55
D. 25.5
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Answer:
B
Step-by-step explanation:
[tex]1. \: 5.1 \div - 2 \\ 2. \: - 2.55[/tex]
the height h of the triangle is 8cm greater than its corresponding base
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5. A video game store has a 32% markup rate on all video game system. If the game system you wanted cost $399.00,
what would the markup amount be? What would be the total selling price for which the video store would sell to
you?
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Answer:
526.68
To find out how much the price went up, you first want to find what 32% of 399 is.
32% of 399 = 127.68
The price will go up $127.68.
Now, just add that to the original price:
127.68 + 399 = 526.68
The price of the game system will now be $526.68
Step-by-step explanation:
Hope it helps! =D
Expand and simplify (x - 3)(x + 5)
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Answer:X[tex]x^{2} +2x-15[/tex]
Step-by-step explanation: you do it by multiplying out the brackets and then you simplify the result expression by collecting the like terms.
Which equation represents the graft function (0,3) (1,1)
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to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture above.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{0}}} \implies \cfrac{ -2 }{ 1 } \implies - 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- 2}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=-2x+3 \end{array}}[/tex]
Find a possible formula for the trigonometric function whose values are in the following table .
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The trigonometric function for the values in the table is defined as follows:
y = 3sin(π/4(x - π/2)) + 3.
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(B(x - C)) + D.
For which the parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.The function has a maximum value of 6 and a minimum value of 0, for a difference of 6 units, hence the amplitude is obtained as follows:
2A = 6
A = 3.
Without vertical shift, a function with amplitude of 3 would oscillate between -3 and 3, while this one oscillates between 0 and 6, hence the vertical shift is given as follows:
D = 3.
The shortest distance between repetitions can be given by 8 - 0, hence the period is of 8 units and the coefficient B is given as follows:
2π/B = 8
B = 2π/8.
B = π/4.
The function is at's minimum value at x = 0, meaning that the sine function has a phase shift of π/2 units right, thus the coefficient C is given as follows:
C = π/2.
Then the function is defined as follows:
y = 3sin(π/4(x - π/2)) + 3.
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a= (6,7) and b= (1,2) if a-b =(x,y) work out values of x and y
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The values of x and y are x = 5 and y = 5.
How to calculate vector sums?The subtraction of vectors a and b can be represented as the vector sum of a and the negative of b:
a - b = a + (-b)
To find the negative of b, simply multiply each component by -1:
-b = (-1) × (1, 2) = (-1, -2)
So,
a - b = a + (-b) = (6, 7) + (-1, -2) = (5, 5)
Therefore, the values of x and y are 5 and 5 respectively.
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The ratios of the line segments are given below.
Determine the coordinates of point B and point D.
(5,0)
(-1,0)
(-1,-4)
(1,2)
(-4,6)
(-2,-6)
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Therefore , the solution of the given problem of ratio comes out to be
CD:DE = 1:2. and AB:BC = 2:1 .
Describe ratio.Use the simple formula "a / b" to create a group of linked variables "a" and "b," where "b" may also be higher than zero. One ratio is created by combining two equation ratios. If there were only one man and three ladies, the ratio would be 1:1. There are 1/4 males and 3/4 girls in the group. A division between two or more objects, a number, or even a portion of a component's volume are all examples of parts.
Here,
Ratio 1: AB:BC = 2:1
Let's use the midpoint formula to find the coordinates of point C, which is the midpoint of line segment AB:
C = ((5+x)/2, (0+y)/2) = ((5+x)/2, y/2)
Since AB:BC = 2:1, we know that the distance from A to B is twice the distance from B to C. Using the distance formula, we can write:
2 * BC = AB
2 * √((x+1)² + y²) = √((x-5)^2 + y^2)
Simplifying this equation, we get:
4 * (x+1)² + 4y² = x² - 10x + 25 + y²
Simplifying further, we get:
3x²+ 8x - 16y² - 75 = 0
Ratio 2: CD:DE = 1:2
Let's use the midpoint formula to find the coordinates of point E, which is the midpoint of line segment CD:
E = ((p-1)/2, (q-4)/2)
Since CD:DE = 1:2.
Therefore , the solution of the given problem of ratio comes out to be
CD:DE = 1:2. and AB:BC = 2:1 .
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Answer:
(-4, 6) (-1, 0)
Source:
Took test. ✌
50 POINTS
Which linear graph represents a proportional relationship?
a graph of a line that passes through the points 0 comma 0 and 0.5 comma negative 3
a graph of a line that passes through the points 0 comma 2 and 1 comma 5
a graph of a line that passes through the points 0 comma 4 and 1 comma 4
a graph of a line that passes through the points 0 comma negative 0.5 and negative 1 comma 0
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The linear graph represents a proportional relationship, a graph of a line that passes through the points (0, 0) and (0.5, -3).
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given the coordinates to find the linear graph represents a proportional relationship,
we know the equation of a line given by,
y = mx + c
where m is the slope and c is the y-intercept,
to prove the graph the proportional value of the y-intercept should be zero, (0, 0)
when c = 0, y = mx
the equation will proportional,
When the line passes from the origin the equation will be proportional.
Hence option A is correct.
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Its A because if the line passes through the middle of the square is a proportional relationship.
Anna compra helado y naranjas en la tienda.
• Ella paga un total de $59.53.
• Ella paga un total de $6.49 por el helado.
• Ella compra 8 bolsas de naranjas que cuestan la misma cantidad cada una.
Escribe y resuelve una ecuación que se pueda usar para determinar X, cuánto cuesta
cada bolsa de naranjas.
Ecuación:
Respuesta: X=
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Answer:
Ecuación: 59.53 - 6.49 = 53.04
53.04 / 8 = X
X = 6.63
Respuesta: X=6.63
Slope -2.5 and pass through (2,1.5) in slope intercept form
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Answer:
y = -2.5x + 6.5
Step-by-step explanation:
The equation of the line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
With a slope of -2.5 and a point (2,1.5) on the line, we can use the point-slope formula to find the equation of the line:
y - 1.5 = -2.5 (x - 2)
Expanding the right-hand side, we get:
y - 1.5 = -2.5x + 5
Adding 1.5 to both sides, we get:
y = -2.5x + 6.5
So the equation of the line in slope-intercept form is y = -2.5x + 6.5.
The probability distribution below id for the random variable X= the number of credits taken by a randomly selected first year student at a large state university.
A. is X a discrete or continuous random variable? explain.
B. Show that the probability distribution of X is valid
C. Compute and interpret the expected value of X
D, The standard deviation is 0.829. Interpret this value in the context of the problem
E. Express the event "taking at least 16 credits" in terms of X and find its probability
Answer quickly please
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A. X is a discrete random variable
B. The conditions are satisfied.
C. The expected value of X is 15.25
How to determine if X a discrete or continuous random variable?A. X is a discrete random variable because it can only take on specific values (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16) and not any value in an interval.
B. To show that the probability distribution is valid, we need to check if the following conditions are satisfied:
1. P(X=x) ≥ 0 for all x in the set of possible values of X
2. The sum of all probabilities equals 1
From the information given, it appears that these conditions are satisfied.
C. The expected value of X can be calculated as the weighted average of all possible values of X, where the weights are their corresponding probabilities.
E(X) = Σ[x * P(X=x)]
E(X) = (14*0.15) + (15*0.55) + (16*0.20) + (17*0.10) = 15.25
The expected value of X, which is 15.25, represents the mean or average number of credits taken by a randomly selected first-year student at the large state university.
D. The standard deviation measures the amount of variation or dispersion of a set of data values. A low standard deviation indicates that the values are close to the mean (expected value), while a high standard deviation indicates that the values are spread out over a wider range. In this context, a standard deviation of 0.829 means that the number of credits taken by first-year students at the university is spread out over a range of approximately 0.829 units on average.
E. The event "taking at least 16 credits" can be expressed as X ≥ 16. To find its probability, we can sum up the probabilities of all the values that are greater than or equal to 16.
P(X ≥ 16) = ΣP(X = x)
P(X ≥ 16) = 0.20 + 0.10 = 0.30
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Find the perimeter of △XYZ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
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45.0 units is the required perimeter of triangle XYZ
Similar triangle and perimeter of triangle.Triangles are known to be similar if the ratio of the similar sides are equal to a constant. The perimeter is the sum of all the sides of the triangle.
From the given diagram , we need to solve for the value of x first as shown:
9/10 = 14/x
9x = 140
x = 140/9
x = 15.6
Find the required perimeter of XYZ
perimeter = ZY + XY + XZ
perimeter = 15.4 + 14 + 15.6
Perimeter = 45.0 units
Hence the perimeter of triangle XYZ is approximately 45.0 units
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chen's pedometer says he walked 5,600 meters today. how many kilometers has chen walked today?
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Answer:
5.6km
Step-by-step explanation:
1km = 1000 meters
5,600 meters = 5.6km
5600 divided by 1000 = 5.6km
So, Chen walked 5.6km today.
write down the equation of a line perpendicular to y = 1/2x - 4 which passes through (0,7)
(i got the answer y = 2x + 7, can anyone confirm if this is right/wrong?)
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Answer:
y = -2x + 7
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
That means that their product is -1.
If the slope of a line is m, then a perpendicular line has slope -1/m.
Given line slope: 1/2
Perpendicular slope: -2
Perpendicular line:
y = -2x + b
Point on new line: (0, 7)
7 = -2(0) + b
b = 7
Perpendicular line:
y = -2x + 7
Perpendicular lines have slopes that are negative reciprocals of each other.
Solving the QuestionWe're given:
Perpendicular to [tex]y =\dfrac{1}{2}x - 4[/tex]Passes through (0,7)First, we must find the slope.
The negative reciprocal of [tex]\dfrac{1}{2}[/tex] is -2.Plug this into [tex]y=mx+b[/tex]:[tex]y=-2x+b[/tex]The y-intercept occurs when x=0. Therefore, given the point (0,7), we know that the y-intercept is 7:
[tex]y=-2x+7[/tex]Answer[tex]y=-2x+7[/tex]
cuanto es 5^3 - 3 √(375 ÷ 3) + (7 + 2)^2 - 9^11 ÷ 9^9
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Consecuencia de 5^3 - 3 √(375 ÷ 3) + (7 + 2)^2 - 9^11 ÷ 9^9 es 91.46.
Sobre el número exponencialPotencias es una operación matemática para la multiplicación repetida de un número tanto como el rango. El rango de un número es un número que se escribe más pequeño y se ubica ligeramente hacia arriba. Basado en la semántica de escribir letras se llama superíndice, por ejemplo: 2², 3², 4³ y otros. En inglés, el exponencial se llama "potencia" o "exponente".
5³=125
3√(375:3) =3√125=3√5³= 3.5^3/2
(7+2) ²=9²=81
9¹¹÷9^9=9²=81
5³ - 3 √(375 ÷ 3) + (7 + 2)² - 9¹¹ ÷ 9^9= 5³-3.5^3/2+81-81 =125-3√125=125-(3(11.18) = 125- 33.54=91.46
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1. What number am I?
I have four digits.
My tens and tenths are the same value.
My hundredths is the difference of 5 and 1.
My tens is double my hundredths.
My ones is the other factor of 4 besides 1 and itself.
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The hundredths is the difference of 5 and 1, so it must be 4.
The tens is double the hundredths, so it must be 2 * 4 = 8.
The only other factor of 4 besides 1 and itself is 2, so the ones place must be 2.
Putting it all together, the number is 2824.
Which is the better value: $285 for 150 ft square of carpet or $252 for 120 ft square of carpet
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Answer: $252 for 120 ft
Step-by-step explanation: Divide the money by the feet value in order to find dollars per foot. Since 252/120 = 2.1 $/ft and 285/150 = 1.9 $/ft, it would be better value to go with the 1.9 $/ft option.
A badge is made from a triangle and three-quarters of a circle as shown.
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Answer:
3404.9(1dp)
Step-by-step explanation:
a sports uniform costs 160 dollars. For Christmas is sold at a discount of 35%.The cost of the sports uniform with the discount is??
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Answer: 104
Step-by-step explanation:
To put it simply, let's say 100% is 160 dollars. When Christmas arrived, it was sold with a discount of 35%. This means we deduct 35% from 100% which is 65%. We then find 65% of 160 dollars, which is 104.
Hope that helps, if not, then please reply back :)
PLEASE ME WITH MY MATH THE QUESTION IS IN THE PICTURE
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The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not. The quadratic function has one repeating real root if b2 - 4ac = 0.
What are the quadratic equation's roots' sum and product?A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.
What is the Product Rule Simplified?According to the Product Rule, the derivative of a product of two functions is equal to the product of the first function times the second function's derivative plus the second function times the first function's derivative.
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Consider parallelogram ABCD below.
Use the information given in the figure to find m ZB, x, and mBCA.
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The values in the parallelogram figure are as follows
angle B = 74 degrees
x = 4
angle BCA = 49 degrees
How to find angle BRemembering that opposite angels of a parallelogram are equal will help us know that angel B is equal to angel D which is 74 degrees
The property that the two opposite sides of parallelogram is used to find x
4x = 16
x = 4
Applying alternate interior angles postulate, we can see that
angle BCA = angle DAC = 49 degrees
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Here is a pentagon work out the value y.
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Answer:
y = 125°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540°
y + 86° + 142° + 72° + 115° = 540°
y + 415° = 540° ( subtract 415° from both sides )
y = 125°
Answer:
125°
Step-by-step explanation:
First you find the value of total interior angles
Since it's a Pentagon
[tex](5- 2) \times 180[/tex]
Then you arrive at 540°
When you sum all the angles in the Pentagon together they should be equal to 540
[tex]540 = 86 + 142 + 72 + 115 + y[/tex]
[tex]540 = 415 + y[/tex]
[tex]540 - 415 = y[/tex]
[tex]y = 125[/tex]
please help!! for 20 points
Answers
The solution is given below.
What is transformation?
A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
the reflection is with respect to y=x line,
so, the transformation will be,
(x,y)⇒(y,x)
so, we get,
X = (-3,8 ) ⇒ X' = (8,-3)
Y(2,5)⇒Y(5,2)
Z(-4,-1)⇒Z'(-1,-4)
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An experiment has 14 possible outcomes, all equally likely. An event can occur in 7 ways. Find the probability that the event occurs.
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Probability that the event can happen = 1/2
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes
Given,
Total outcomes of event = 14
Outcomes, event can happen = 7
Probability
= Favorable Outcomes/Total Outcomes
= 7/14 = 1/2
Hence, 1/2 is Probability that the event occurs.
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Probability: How do I go about this question
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The value of k that makes the probability distribution valid is given as follows:
k = 4.
How to obtain the value of k?To obtain the value of k, we must consider that the integral assumes a value of 1 over it's entire domain, that is:
[tex]\int_{-1}^{1} F(x) dx = 1[/tex]
The function F(x) is given as follows:
F(x) = (x + 2)/k.
Considering 1/k as a constant, the integral is given as follows:
1/k[0.5x² + 2x].
At x = 1, the integral is given as follows:
0.5 + 2 = 2.5.
At x = -1, the integral is given as follows:
0.5 - 2 = -1.5.
Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:
1/k[2.5 - (-1.5)] = 4/k.
As the result of the integral must be of one, the value of k is obtained as follows:
4/k = 1
k = 4.
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what are the beat numbers
Answers
The musical frequency of notes is decreasing between beat number 6 and 7.
What is beat frequency?
Beats refer to the periodic variations in the loudness of a sound resulting from the interference between two waves of slightly different frequencies. When two waves of different frequencies overlap, they create an interference pattern that results in a waveform that varies in amplitude (loudness) over time. The resulting pattern of loud and soft sounds is known as beats.
The musical note frequency is in the given question is measured in Hz and it started decreasing from a frequency of 444 Hz to frequency of 392 Hz.
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Demonstrate/explain how you can use the formula that partitions any segment into a given ratio to derive the specific formula for a midpoint. (Hint: Think of the ratio that is formed by a midpoint.)
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let's say we have two points A(a , b) and B(c , d) partitioned by a point C, since we're dealing with the MidPoint, C is partitioning AB into two equal halves, so in the ratio of 1 : 1.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(a,b)\qquad B(c,d)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{1}\implies \cfrac{A}{B} = \cfrac{1}{1}\implies 1A=1B \\\\\\ 1(a,b)=1(c,d) \implies (a~~,~~ b)=(c~~,~~ d) \\\\\\ C=\left( \cfrac{a+c}{1+1}~~,~~\cfrac{b+d}{1+1} \right)\implies \stackrel{ \textit{MidPoint Formula} }{C=\left( \cfrac{a+c}{2}~~,~~\cfrac{b+d}{2} \right)}[/tex]