The drawing of the front elevation of the figure is added as an attachment, as required
Drawing the front elevation of the figureFrom the question, we have the following parameters that can be used in our computation:
The figure
The side elevation has been drawn
This means that we need to draw the front elevation
From the figure, we can see that
The front elevation is a rectangle with the dimension of 2m by 0.5m
This implies that we draw a rectangle with the dimension of 2m by 0.5m
See attachment for the required figure of the front elevation of the figure
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5. Calculate the range of the following data set: (2, 22, 8, 6, 19, 15, 5, 12)
22
20
8
2
The list price of a new printer is $8,000. The chain discount is 20/15/10. What's the net price?
A. $3,204
B. $3,304
C. $4,103
D. $4,896
Kevin bought a new plan the plan girls 2. 8 cm in the first week and 1. 97 CM the second week. Select all of the statements that are true about the plant
The statements that are true about the plant are:
The plant has grown a total of 4.77 cm in two weeksThe plant grew at a faster rate in the first week than the second weekWhat is true of the plant ?The plant did grow 4. 77 cm in two weeks as shown below :
= 2. 8 cm in first week + 1. 97 cm in second week
= 2. 8 + 1. 97
= 4. 77 cm
The plant grew faster in the first week than the second as the plant grew 2.8 cm in the first week and 1.97 cm in the second week, indicating a slower growth rate in the second week compared to the first week.
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Options for this question include:
The plant has grown a total of 4.77 cm in two weeks
The plant grew at a faster rate in the first week than the second week
The plant will be 100 cm tall after 50 weeks
The plant will require at least 5 cm of water per week to continue growing
The plant will die if it doesn't receive enough sunlight each day
Please help explain what the question is asking and how to find the answer:
select all equations that are equivalent to an equation that expresses y as a function of x
A: 3x-4y=-2
B: x-y⁴=0
C: x²-3y=0
D: lxl + lyl = 2
On solving the query we can say that In conclusion, while option D does not meet the condition, alternatives A, B, and C are equivalent to equations that represent y as a function of x.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
Let's investigate each choice:
A: 3x - 4y = -2
We must put y on one side of the equation in order to describe y as a function of x. We may do this by dividing by -4 after removing 3x from both sides:
-4y = -3x - 2 y = (3/4)x + 1/2
C: x² - 3y = 0
We must isolate y in order to express y as a function of x. This may be done by dividing by -3 after removing x2 from both sides of the equation: y = (1/3)x2.
The condition is met by option C since this equation expresses y as a function of x.
In conclusion, while option D does not meet the condition, alternatives A, B, and C are equivalent to equations that represent y as a function of x.
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The equations that are equivalent to an equation that expresses y as a function of x are A, B, and C.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
The equation that expresses y as a function of x is y = f(x). To be equivalent to this equation, an equation must also express y as a function of x. Let's examine each equation:
A: 3x-4y=-2 can be rewritten as y = (3/4)x + 1/2, which expresses y as a function of x. Therefore, A is equivalent to an equation that expresses y as a function of x.
B: x-y⁴=0 can be rewritten as y = ±√x, which expresses y as a function of x. Therefore, B is equivalent to an equation that expresses y as a function of x.
C: x²-3y=0 can be rewritten as y = (1/3)x², which expresses y as a function of x. Therefore, C is equivalent to an equation that expresses y as a function of x.
D: lxl + lyl = 2 does not express y as a function of x because for every x value, there are two possible y values that satisfy the equation. Therefore, D is not equivalent to an equation that expresses y as a function of x.
Therefore, the equations that are equivalent to an equation that expresses y as a function of x are A, B, and C.
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Solve the system of equations using elimination -3y - 4x = 15 and 9y+7x = 25
Answer:
y=41/3 and x = -14
Step-by-step explanation:
system of the linear equation :
-3y-4x=15 eq[i]
9y+7x=25 eq[ii]
multiplying eq[i] by -7 and eq[ii] by 4,we get
21y+28x= -105 eq[iii]
36y+28x= 100 eq[iv]
subtracting eq[iii] from eq[iv],we get
15y=205
y=205/15=41/3
and x= -14
What is the mean of the data represented by the stem and
leaf plot above?
Hint: Use the key to determine the individual values
Sum of the data
MEAN=# of data values
A 57
B 108.75
C 309
Answer:
Step-by-step explanation:
To find the mean, we need to calculate the sum of all the values and divide by the number of data values. Using the stem and leaf plot and the key, we can determine the following data values:
12, 15, 17, 22, 25, 26, 28, 32, 33, 34, 36, 37, 39, 42, 44, 45, 46, 47, 48, 49, 52, 53, 55, 57, 57, 59, 62, 65, 68, 72, 73, 75, 75, 77, 79, 82, 85, 88, 92, 95
There are 37 data values in total. To find the sum of the data, we can add up all the individual values:
12 + 15 + 17 + 22 + 25 + 26 + 28 + 32 + 33 + 34 + 36 + 37 + 39 + 42 + 44 + 45 + 46 + 47 + 48 + 49 + 52 + 53 + 55 + 57 + 57 + 59 + 62 + 65 + 68 + 72 + 73 + 75 + 75 + 77 + 79 + 82 + 85 + 88 + 92 + 95 = 2098
So the sum of the data is 2098. To find the mean, we divide the sum by the number of data values:
MEAN = sum of data / number of data values
MEAN = 2098 / 37
MEAN = 56.7568
Rounded to the nearest hundredth, the mean of the data is 56.76. Therefore, the answer is closest to option A) 57.
actoring Quadratic Expressions. Factor each completely. 1) x. 2 − 7x − 18. 2) p. 2 − 5p − 14. 3) m. 2 − 9m + 8.
Completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)How to evaluate each part of the question?1. x² - 7x - 18 can be factored as:
(x - 9)(x + 2)
Expand the expression using FOIL:
(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18
2. p² - 5p - 14 can be factored as:
(p - 7)(p + 2)
Expand the expression using FOIL:
(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14
3. m² - 9m + 8 can be factored as:
(m - 1)(m - 8)
Expand the expression using FOIL:
(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8
Therefore, the completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)Learn more about factored expressions.
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James
Juan buys 3 packs of jelly beans.
If each package costs $3.97, how much will Juan pay before tax?
help me answer these equations PLEASEEE
The values of the missing sides are;
1. 6. 7 Option C
2. 6. 9. Option D
3. 7. 6 Option C
4.6.3 Option C
How to determine the valuesFrom the information given, we have that;
1. Using the sine identity;
sin 72 = x/7
cross multiply the values
x = 6. 66
2. Using the sine identity;
sin 60 = x/8
cross multiply the values
x = sin 60(8)
find the value
x = 6. 93
3. Using the cosine identity;
cos 23 = 7/x
cross multiply the values
x = 7/0. 9205
x = 7. 60
4. Using the cosine identity;
cos 25 = x/7
cross multiply the values
x = 6. 34
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You can use a system of equations to graph and solve the polynomial equation 3x³ + x-2x+1. Which statement is
true?
O The system has one solution, and the equation has three zeroes.
The y-coordinates of the solutions to the system and the zeroes of the equation are not equal.
The x-coordinates of the solutions to the system and the zeroes of the equation are not equal.
O The equation has one zero, and the system has three solutions.
The statement which is true include the following: B. The y-coordinates of the solutions to the system and the zeroes of the equation are not equal.
What is a polynomial graph?In Mathematics and Geometry, a polynomial graph simply refers to a type of graph that touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.
Generally speaking, the zero of a polynomial function simply refers to a point where it crosses or cuts the x-axis of a graph.
By critically observing the graph of the polynomial function shown in the image attached below, we can logically deduce that the y-coordinates of the solutions to the system of equations and the zeros of the equation are not equal;
3x³ + x = 2x + 1
P(x) = 3x³ + x - 2x - 1
3x³ + x - 2x - 1 = 0
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Solve for x.
Set up the proportion.
The value of x is 12
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. For two triangles to be similar, the corresponding angles of the triangles must be equal.
Also the ratio of the corresponding sides of the similar triangles are equal.
Therefore ;
x/4 = 36/x
x² = 36×4
x² = 144
x = √144
x = 12
therefore the value of x using similar triangles is 12.
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Una empresa maderera necesita estimar el volumen de madera que producirá una carga de madera. El supervisor sabe que el volumen de madera en un árbol varía conjuntamente con la altura h y el cuadrado de la circunferencia del árbol g. El supervisor observa que un árbol de 40 metros de altura con una circunferencia de 1,5 metros produce 288 metros cúbicos de madera. Escribe una ecuación que represente esta situación
In the above case, the law of joint proportionality is the one I am going to use to write the equation that stands for the above situation:
V = k x h x g²
What is the above equation about?Note that from the equation written:
V = the volume of wood produced by the tree
h = the height of the tree
g = the circumference of the tree
k = a constant of proportionality.
For one to know the value of k, we have to make use the data given in the problem.
Since h = 40 m
g = 1.5 m
V = 288 m³
Hence the volume of wood produced is:
288 = k x 40 x (1.5)²
Simplifying this equation, we have:
288 = k x 90
When we Divide both sides by 90, we have :
k = 3.2
So one can say the equation that stands the situation is:
V = 3.2 x h x g²
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please help urgently
The size of the angle TAC is calculated to be equal to 70.52° to the nearest hundredth degree using trigonometric ratios of cosine and tangent.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the right triangle ABM;
cos A = AM/AB {adjacent/hypotenuse}
cos 45° = AM/6
AM = 6 × cos 45 {cross multiplication}
AM = 6 × √2/2 {recall cos 45° = √2/2}
AM = 3√2
For the right triangle ATM;
tan A = TM/AM {opposite/adjacent}
tan A = 12/3√2
tan A = 2√2
A = tan⁻¹(2√2)
A = 70.5288
Therefore, the size of the angle TAC is calculated to be equal to 70.53° to the nearest hundredth degree using trigonometric ratios of cosine and tangent.
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What is the area of this figure 9mm 7mm 2mm 3mm 10mm
The area of this figure based on the information will be 10mm²
How to calculate the areaThe area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
From the information, the shape gas sides 5mm and 2mm. The area of this figure will be:
= Length × Width
= 5mm × 2mm
= 10mm²
In conclusion, the area of this figure based on the information will be 10mm²
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A shape gas sides 5mm and 2mm. What is the area of this figure 9mm 7mm 2mm 3mm 10mm
What is the best estimate of V18?
O 4.2
0 4.4
O 3.6
O 4.9
HELP MEEE HURRY PLEASE
Answer:
(a) 4.2
Step-by-step explanation:
You want an estimate of √18 to one decimal place.
Square rootThe squares on either side of 18 are 4² = 16 and 5² = 25. The value 18 is about (18 -16)/(25 -16) = 2/9 of the way between these numbers. So, an estimate of the square root is ...
4 + 2/9 ≈ 4.2
__
Additional comment
A fast way to improve the estimate is to take the average of this value and the quotient of 18 and this value:
(4.2 +18/4.2)/2 ≈ 4.2429
Compare this to the actual root of 4.2426.
Using that same method again gives a value that matches the root when rounded to 8 decimal places.
Based on the equation you created, what would be the ex-
pected average number of leaves on a tree 8 weeks after
spring has started?
Hint: Use the y = mx + b equation you wrote for the last
question, and evaluate it for x = 8.
Answer:
Recall that the equation we created was:
y = 2x + 10
where y represents the number of leaves and x represents the number of weeks since spring has started.
To find the expected average number of leaves on a tree 8 weeks after spring has started, we need to evaluate the equation for x = 8:
y = 2(8) + 10
y = 16 + 10
y = 26
Therefore, the expected average number of leaves on a tree 8 weeks after spring has started is 26.
give the metric prefixes for 10^12, 10^9, 10^6, 10^3, 2,1 and then the negatives of these numbers. also give the symbols for these
The metric prefixes for [tex]10^1^2, 10^9, 10^6[/tex] and [tex]10^3[/tex] are tera (T), giga (G), mega (M), and kilo (k) respectively. The metric prefix for 2.1 is deca (da). The negative metric prefixes for [tex]10^1^2, 10^9, 10^6[/tex], and [tex]10^3[/tex] are pico (p), nano (n), micro (μ), and milli (m) respectively. The negative metric prefix for 2.1 is deci (d). So the symbols for these are: T (tera), G (giga), M (mega), k (kilo), da (deca), p (pico), n (nano), μ (micro), m (milli), d (deci)
1. [tex]10^1^2[/tex]: The metric prefix for [tex]10^1^2[/tex] is tera, and its symbol is T.
2. [tex]10^9[/tex]: The metric prefix for [tex]10^9[/tex] is giga, and its symbol is G.
3.[tex]10^6[/tex]: The metric prefix for [tex]10^6[/tex] is mega, and its symbol is M.
4. [tex]10^3[/tex]: The metric prefix for [tex]10^3[/tex] is kilo, and its symbol is k.
5. 2: There is no specific metric prefix for 2.
6. 1: There is no specific metric prefix for 1.
Now for the negative powers of these numbers:
1. [tex]10^-^1^2[/tex]: The metric prefix for[tex]10^-^1^2[/tex] is pico, and its symbol is p.
2. [tex]10^-^9[/tex]: The metric prefix for [tex]10^-^9[/tex] is nano, and its symbol is n.
3. [tex]10^-^6[/tex]: The metric prefix for[tex]10^-^6[/tex] is micro, and its symbol is µ.
4. [tex]10^-^3[/tex]: The metric prefix for[tex]10^-^3[/tex] is milli, and its symbol is m.
Please note that there are no metric prefixes for the negative powers of 2 and 1.
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Last week, Erik ran 3 miles. This week, he plans to run 2 7/8 times as far as last week. How many miles does Erik plan to run this week?
Erik plans to run approximately 8.63 miles this week.
To find out how many miles Erik plans to run this week, we need to multiply the distance he ran last week (3 miles) by 2 7/8, which is the factor by which he plans to increase his distance. To do this, we first need to convert the mixed number 2 7/8 into an improper fraction:
2 7/8 = (2 x 8 + 7) / 8 = 23/8
Now we can multiply:
3 miles x 23/8 = (3 x 23) / 8 = 69/8 miles
This means that Erik plans to run 69/8 miles, or 8 5/8 miles, this week. This is a mixed number, which means that Erik plans to run 8 whole miles and 5/8 of a mile.
Alternatively, we can express 69/8 as a decimal by dividing the numerator (69) by the denominator (8):
69/8 ≈ 8.63
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There are 20 counters in a bag.
8 of the counters are yellow.
12 of the counters are green.
Asif takes at random two of the counters.
Work out the probability that the two counters are different colours.
The probability of selecting two different counters that are of two different colors is 0.193
What is the probability that the two containers counters are different colors?In the given question, we have a total of 20 counters, 8 are yellow and 12 are green.
The probability of choosing a 2 different colors will be;
P = 7/20 * 11/20
P = 77 / 400
P = 0.193
This is because the first probability of choosing a green is 11/20 and the second probability of choosing a yellow is 7/20. This is an example of probability without replacement
When we multiply both together to determine the probability of choosing different colors, we would have 0.193
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the ages of the members of a gym have a mean of 48 years and a standard deviation of 10 years. what can you conclude from chebyshev's theorem about the percentage of gym members aged between 26 and 70?
Using Chebyshev's theorem, we can conclude that at least 56% of the gym members' ages fall between 26 and 70.
Chebyshev's theorem states that for any given dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations from the mean.
We can use Chebyshev's theorem to determine the percentage of gym members aged between 26 and 70. We need to determine how many standard deviations away from the mean these ages are.
To do this, we calculate the z-scores for both ages using the formula z = [tex](x - μ) / σ[/tex], where x is the value (in this case, either 26 or 70), [tex]μ[/tex] is the mean (48), and σ is the standard deviation (10). For x = 26: z = (26 - 48) / 10 = -2.2 For x = 70: z = (70 - 48) / 10 = 2.2
Both ages are 2.2 standard deviations away from the mean. Using Chebyshev's theorem, we know that at least 1 - 1/2.2² = 56% of the gym members' ages fall within this range.This is a lower bound - the actual percentage of gym members aged between 26 and 70 could be higher than 56%, as the distribution of ages may not be perfectly symmetrical or may have outliers.
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The temperature in an oven changes from 350 to 362. what is the percent increase in temperature, to the nearest tenth of a percent
The percent increase in temperature when an oven changes from 350 to 362 is approximately 3.4%.
To calculate the percent increase in temperature, we need to find the difference between the initial temperature and the final temperature, divide that difference by the initial temperature, and then multiply the result by 100 to convert it to a percentage.
The difference between the initial temperature of 350 and the final temperature of 362 is
362 - 350 = 12
To find the percent increase, we divide the difference by the initial temperature
12 / 350 = 0.0342857...
Multiplying by 100, we get
0.0342857... * 100 = 3.42857...
Rounding to the nearest tenth of a percent, we get
3.4%
Therefore, the percent increase in temperature is approximately 3.4%.
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The largest numbers that can be divided by (without a remainder) both the numbers being compared (can be 1, can't be bigger than either number) is called the ______.
Answer:
GCF, Greatest Common Factor
Step-by-step explanation:
Hope this helped
you have a bag of orange, green and yellow skittles. there are 9 of each color in the bag. what is the probability of pulling two skittles of the same color in a row?
The probability of pulling two skittles of the same colour in a row is 4/13.
Finding the likelihood that the first skittle will be any colour and then the likelihood that the second skittle will be the same colour as the first will allow you to calculate the likelihood of pulling two Skittles of the same colour in a row.
There are a total of 27 Skittles in the bag because there are 9 of each colour there. As a result, there is a one-in-one chance that the first skittle will be of any hue.
There will be a total of 26 skittles left in the bag when the first skittle is pulled, along with 8 skittles of the same colour. The likelihood that the second skittle will be the same colour as the first is thus
Probability = 8/26 or 4/13.
By adding these probabilities, we obtain:
1 x 4/13 = 4/13
Therefore, the probability of pulling two Skittles of the same colour in a row is 4/13.
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driving 268 miles in 4 hours is a total rate of _ miles per hour
Answer:
67 miles per hour
Step-by-step explanation:
We can set up a proportion to find how many miles per hour this person travels:
268/4
=67
So, the rate is 67 miles per hour.
Hope this helps :)
— driving 268 miles in 4 hours is a total rate of 67 miles per hour
why???
268/4 = 67
Please help! Easy question, answer pls, 15 pts.
Answer:
360 in
Step-by-step explanation:
To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:
[tex]\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}[/tex]
So, the dressmaker has 360 in of ribbon.
35 Two solids are described in the list below. • The other solid is a cylinder with a radius of 6 inches and a height of 6 inches. What is the difference between the volumes, in cubic inches, of the solids in terms of it? A 72π B C D • One solid is a sphere and has a radius of 6 inches. 144π 216π 288T
The difference between the volumes of the solids is given as follows:
A. 72π.
How to obtain the volumes?The volume of a sphere of radius r is given by the equation presented as follows:
V = 4πr³/3.
The radius is of 6 inches, hence the volume is given as follows:
V = 4π x 6³/3
V = 288π cubic inches.
The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
Both the radius and the height are of 6 inches, hence the volume is given as follows:
V = π x 6³
V = 216π cubic inches.
Then the difference of the volumes is given as follows:
π(288 - 216) = 72π.
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draw the a concave hexagon with two pairs of congruent sides
Concave hexagon with two pairs of congruent sides is:
/\
/ \
/ \
/ \
/ \
/_____\
\ /
\ /
\ /
\ /
\/
How to draw a concave hexagon with two pairs of congruent sides?A hexagon is a six-sided polygon. A concave hexagon is a hexagon with at least one interior angle greater than 180 degrees.
We can start with a regular hexagon, which has six congruent sides and six interior angles of 120 degrees each.
We can then extend two opposite sides of the regular hexagon outwards to create two pairs of congruent sides. The extended sides should not be parallel to each other, but rather at an angle, so that the resulting hexagon is concave.
Here is an example of a concave hexagon with two pairs of congruent sides:
/\
/ \
/ \
/ \
/ \
/_____\
\ /
\ /
\ /
\ /
\/
In this hexagon, sides AB and CD are congruent, and sides EF and GH are also congruent. However, the angles at vertices A and H are greater than 180 degrees, making this a concave hexagon.
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The cost of producing pens is $200 at the break-even point. What is the amount of income from selling pens at the break-even point? Explain your reasoning.
Answer: No profit
Step-by-step explanation: because break even point are when produce costs and selling costs are the same therefore no profit
If this helped brainliest would help! :)
7. Why might someone say that you only need to know how to multiply whole numbers to be able to multiply decimals?
Help wanted! A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 11. 7 millimeters long, and the height of the equilateral triangle is 10. 1 millimeters. The pyramid's slant height is 12. 3 millimeters. What is its surface area?
The surface area of the triangular pyramid is approximately 435.66 square millimeters.
The surface area of the triangular pyramid can be calculated by finding the area of the equilateral triangle base and the area of the three triangular faces, and then adding them together.
To find the area of the equilateral triangle base, we use the formula A = (√(3)/4) * a², where a is the length of one of the legs.
A = (√(3)/4) * 11.7² = 72.9444 mm²
To find the area of each triangular face, we use the formula
A = (1/2) * base * height
where the base is the side length of the equilateral triangle and the height is the slant height of the pyramid.
A = (1/2) * 11.7 * 12.3 = 71.9425 mm²
So, the surface area of the triangular pyramid is:
SA = 3A(Base) + 3A(face)
SA = 3(72.9444) + 3(71.9425)
SA = 435.6621 mm²
Therefore, the surface area of the triangular pyramid is approximately 435.66 square millimeters.
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