Answer:
Area= 2(x^2 + 4)
Perímetro=6x + 8
Step-by-step explanation:
Ancho = x
Longitud = 2x + 4
Area= ancho × longitud
Area= x × 2x + 4
Area= 2x^2 + 4
Area= 2(x^2 + 4)
Perímetro= ancho+ancho+longitud+longitud
Perímetro=2ancho + 2longitud
Perímetro=2(x) + 2(2x+4)
Perímetro=2x + 4x + 8
Perímetro=6x + 8
Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.
Use the slope formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.
[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]
We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.
[tex] \large \boxed{y = mx + b}[/tex]
The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.
[tex] \large{y = - \frac{7}{6} x + b}[/tex]
Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:
[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]
Answer
y = -7x/6Hope this helps and let me know if you have any doubts! Good luck on your assignment!
Actividad N°2: Marque la alternativa correcta en la siguiente pregunta.
Sea una función tal que () = 7 − 3 cuyo dominio es el conjunto () =
{−1, 0, 1, 2, 3}, entonces el () es:
5 PUNTOS
A) () = {−2, 1, 4, 7, 10}
B) () = {−1, 0, 1, 2, 3}
C) () = {4, 7, 10, 13, 16}
D) () = {1, 2, 3, 4, 5}
E) () = {−16, −13, −10, −7, −4}
Answer:
Hola busco amigos
Perdí mi otra cuenta
Ayúdame y te ayudo con tus tareas
¿ si?
Step-by-step explanation:
18.96 x 2.03 correct to 2 significant figures equals what?
9514 1404 393
Answer:
38
Step-by-step explanation:
The product of the given numbers is 38.4888. Rounding this to two significant digits gets you 38.
A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.31 lb, the mean of all of the weights is x=2.088 lb, and the standard deviation of the weights is s=1.968 lb. a. What is the difference between the weight of 5.31 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.31 lb to a z score. d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.31 lb significant?
Answer:
a) The difference is of 3.222 lbs.
b) 1.64 standard deviations.
c) Z = 1.64
d) Not significant, as the z-score of 1.64 is between -2 and 2.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean of all of the weights is x=2.088 lb, and the standard deviation of the weights is s=1.968 lb.
This means that [tex]\mu = 2.088, \sigma = 1.968[/tex]
a. What is the difference between the weight of 5.31 lb and the mean of the weights?
This is [tex]X - \mu = 5.31 - 2.088 = 3.222[/tex]
The difference is of 3.222 lbs.
b. How many standard deviations is that [the difference found in part (a)]?
This is the z-score. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.31 - 2.088}{1.968}[/tex]
[tex]Z = 1.64[/tex]
1.64 standard deviations.
c. Convert the weight of 5.31 lb to a z score.
Z = 1.64, as found above.
d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.31 lb significant?
Not significant, as the z-score of 1.64 is between -2 and 2.
Which of the following is a point-slope equation of a line with the point (-6,2)
and a slope of ? 1/2
Answer:
Choose (D)
y-y1=m(x-x1)
y-2=1/2(x+6)
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
I need the answer plsss
Answer:
Its H
There should be one dot on 4, 2 dots on 2, 3 dots on 1, 3 dots on 0, 1 dot on 7, 1 dot on 3
Step-by-step explanation:
brainly plz!
Assume that Y is normally distributed with mean μ and standard deviation σ. After observing a value of Y, a mathematician will construct a rectangle with length L = |Y|and width W = 3 |Y|. Let A denote the area of the resulting rectangle. What is E(A)?
use the following picture to classify the following statements as true or false
WILL MARK BRAINLIEST
Answer:
25.12 cm
Step-by-step explanation:
circumference= 2pi*r
3.14x8x2= 50.24
50.24/2= 25.12 cm
Or you could have just done 3.14 x8 which equals 25.12 as well
determine the missing angle.
3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.
Dividing each term in the given series by 0.315 reveals a simple geometric sum,
0.315 (1 + 1/1,000 + 1/1,000,000 + …)
or
0.315 (1 + 1/10³ + 1/10⁶ + …)
or
[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]
i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that
[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]
if |r | < 1. This is the case here, so
0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)
… = (315/1000) / (999/1000)
… = 315/999
… = 35/111
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Given:
The stem and leaf plot of a data set is given.
Legend:1|0 represents 10.
To find:
The original data set for the given stem and leaf plot.
Solution:
It is given that 1|0 represents 10 in the given stem and leaf plot. Using this, the original data set from the given stem and leaf plot is:
10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.
These values are in ascending order.
Therefore, the original set of data is 10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.
Help meeeeeeeeeeeeeeeeeeeee
Answer:
question please so I can help you
Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at
Answer:
16=/-4+3+2
16=/-1jhcdf why
hyee852iok
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
O y + 2 =1/3(x + 3)
O y-2=1/3(x-3)
O y + 3 = 1/3(x+ 2)
O y-3= 1/3(x-2)
Answer:
y - 2 = 1/3(x - 3)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plug in the slope:
y - y1 = m(x - x1)
y - y1 = 1/3(x - x1)
Plug in the given point:
y - y1 = 1/3(x - x1)
y - 2 = 1/3(x - 3)
So, the correct answer is y - 2 = 1/3(x - 3)
Which points are on the graph of the function rule f(x) = 10 - 4x
Determine which data are qualitative and which data are quantitative. Explain your reasoning
a. The yearlysalaries of the employees at aschool district.(2pts)
b. The employeenumbers of the employees at an accounting firm.(2pts)
c. The areacodes of a sample of 350 residents of nursing homes.(2pts)
d. The ages of a sample of 350 residents of nursing home. (2pts)
e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)
f. The IQ index of the students in a statistics class.(2pts)
Answer:
a. Quantitative
b. Qualitative
c. Qualitative
d. Quantitative
e. Qualitative
f. Quantitative
Step-by-step explanation:
Qualitative measures:
Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.
Quantitative measures:
Answers are numbers in which comparisons are made, or possible operations.
a. The yearly salaries of the employees at a school district.(2pts)
Salaries are numbers, in which comparisons can be made(more or less), so quantitative.
b. The employee numbers of the employees at an accounting firm.(2pts)
Number, but comparisons aren't made with these numbers, so qualitative.
c. The area codes of a sample of 350 residents of nursing homes.(2pts)
Number, but comparisons aren't made with these numbers, so also qualitative.
d. The ages of a sample of 350 residents of nursing home. (2pts)
Number, comparisons made, you can rank by age for example, so quantitative.
e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)
Labels, so qualitative.
f. The IQ index of the students in a statistics class.(2pts)
Students can be ranked by IQ, so quantitative.
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
9514 1404 393
Answer:
5/8
Step-by-step explanation:
Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.
r = 480/768 = (5·96)/(8·96) = 5/8
The common ratio is 5/8.
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
Simplify Expressions. Which expression is
equivalent to 5x - 2 + 2x - 6
7X-8
3X-8
7x - 4
3X - 4
Answer:
7x - 8
Step-by-step explanation:
Hope this helps!
What’s the value of X????
Troy has already spent 2 minutes on the phone, and he expect to spend 3 more minutes with every phone call he routes. In all How many phone calls dose troy have to route to spend a total of 32 minutes on the phone?
2 divided by 32 is 16 so im gonna say 16
16 is ur answer
How many-foot pieces of wood
can you cut from a board that is
6 feet long?
Answer:
6
Step-by-step explanation:
Foot long = 1 foot
6 / 1 = 6 foot pieces
The area of a square is64. Cm
What is the length of its side
Answer:
The length is 8 cm. Since its a square, so the length of both its sides are equal.
l^2=64
where l=length of side
square root both sides
then, l=8
Answer:
8cm is the length of its side.
Step-by-step explanation:
Which pair of expressions below are equivalent?
a. 7(2n) and 9
b. 3n + 5n and 15n
c. 4(2n-6) and 8n - 24
d. 7(2n) and 72n
Answer:
The answer is C
Hope this helped!
Balu had a collection of coins1/2 of the coins were from Asian countries,1/3
of them from European countries and the remaining 36 from America.
How many coins were from ASIAN countries?
A)18
B)30
C)108
D)216 step by step explanation please
Step-by-step explanation:
[tex] \frac{1}{2} = asian \\ \frac{1}{3} = european \\ 36 = american \\ \frac{1}{2} + \frac{1}{3} = \frac{3 + 2}{6} = \frac{5}{6} \\ \frac{6}{6} - \frac{5}{6} = \frac{1}{6} = 36 \\ \frac{1}{6} = 36 \: so \\ \frac{6}{6} =6 \times 36 = 216 \\ \frac{1}{2} \times 216 = asian \\ \frac{1}{2} \times 216 = 108asian \\ please \: mark \: brainliest[/tex]
There are total 108 coins belonging to Asian countries.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Balu had a collection of coins 1/2 of the coins were from Asian countries, 1/3 of them from European countries and the remaining 36 from America.
Let the total number of coins be x,
Establishing the equation, we get,
x/3+x/2+36 = x
Multiplying the equation by 6, we get,
2x+3x+216 = 6x
6x-5x = 216
x = 216
Therefore, the total numbers of coins are 216,
Since, there are 1/2 of total coins are Asian coins,
Therefore, number of Asian coins = 216 / 2 = 108
Hence, There are total 108 coins belonging to Asian countries.
For more references on equations, click;
https://brainly.com/question/29657983
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Match each three dimensional figure to its volume based on the given dimensions.
please attach a diagram
The altitude of a triangle is increasing at a rate of 1.5 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 1.5 1.5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 8 8 centimeters and the area is 88 88 square centimeters
Answer:
The base reduces at 3.75cm/min
Step-by-step explanation:
Given
Let
[tex]h \to altitude[/tex]
[tex]b \to base[/tex]
[tex]A \to Area[/tex]
So:
[tex]\frac{dh}{dt} = 1.5cm/min[/tex]
[tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]
The area of a triangle is:
[tex]A = \frac{1}{2}bh[/tex]
Calculate b when [tex]A =88cm^2; h =8cm[/tex]
[tex]A = \frac{1}{2}bh[/tex]
[tex]88=\frac{1}{2} * b * 8[/tex]
[tex]88 =b * 4[/tex]
Solve for b
[tex]b = 88/4[/tex]
[tex]b = 22[/tex]
We have:
[tex]A = \frac{1}{2}bh[/tex]
Differentiate with respect to time
[tex]\frac{dA}{dt} =\frac{1}{2}(h\frac{db}{dt} + b\frac{dh}{dt})[/tex]
Substitute the following values in the above equation
[tex]\frac{dh}{dt} = 1.5cm/min[/tex] [tex]\frac{dA}{dt} = 1.5^2cm/min[/tex] [tex]b = 22[/tex] [tex]h = 8[/tex]
[tex]1.5 = \frac{1}{2}(8 * \frac{db}{dt} + 22 * 1.5)[/tex]
Multiply both sides by 2
[tex]3 = 8 * \frac{db}{dt} + 22 * 1.5[/tex]
[tex]3 = 8 * \frac{db}{dt} + 33[/tex]
Collect like terms
[tex]8 * \frac{db}{dt} = 3 -33[/tex]
[tex]8 * \frac{db}{dt} = -30[/tex]
Divide both sides by 8
[tex]\frac{db}{dt} = -\frac{30}{8}[/tex]
[tex]\frac{db}{dt} = -3.75[/tex]