The total amount of magnesium, in grams, that the plant gets is 1.08 g
How many grams of magnesium does the plant receive in 20 weeks?We know that a plant gets 54 milligrams of magnesium each week for a total of 20 weeks.
Then the total amount that the plant gets, in milligrams, is:
T = 20*54 mg
T = 1,080 mg
And we want to find the total amount in grams, we know that:
1000mg = 1g
Then we can do a change of units to get:
T = (1,080/1000)g
T = 1.08 grams
That is the total amount.
Learn more about changes of units:
https://brainly.com/question/141163
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Which data set has an outlier?
Answer:
Option B
Step-by-step explanation:
You can tell this because it has the largest difference from the second highest listed value.
Answer:
Answer Is D
Step-by-step explanation:
I WILL MAKE BRIANLIEST PERSON BRIANLY. HAALP!!!!!
Answer:
she did not randomly select enough students
Step-by-step explanation:
there is too much of an area for mistakes in this experiment as the teacher could unknowingly have a bias in terms of choosing a female student.
The dot plots show 9 scores on a 10 question trivia game for two students. Select all the statements that must be true.
..
:
2
3
5
6
7
4.
Noah's scores
...
2
3
5
6
7
Jada's scores
Noah's scores have greater variability than Jada's scores.
The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
The mean of Noah's scores is greater than the mean of Jada's scores.
Noah scored better than Jada on every assignment.
Using only Noah's scores, the mean is equal to the median
d
e
Answer:
The correct statements are b, c and e.
Step-by-step explanation:
Consider the dot plot for Noah and Jada's score in the trivia game.
From the dot plot it is quite clear that the data form a bell-shaped curved or a normal curve.
For the normal distribution:
Mean = Median = Mode
Noah's mean score = 5
Jada's mean score = 3
The standard deviation of a data set is the measure of dispersion of the observations of that data set from their mean.
On closely studying the graphs we can see that the Noah and Jada's scores are almost at a same distance from the mean, i.e. the spread of Noah's score is same as the spread of Jada's score.
So, the correct statements are:
b. The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
c. The mean of Noah's scores is greater than the mean of Jada's scores.
e. Using only Noah's scores, the mean is equal to the median
Please help me Tramserran mam...
Answer: see proof below
Step-by-step explanation:
Use the following when solving the proof...
Double Angle Identity: cos2A = 1 - 2sin²B
Pythagorean Identity: cos²A + sin²A = 1
note that A can be replaced with B
Proof from LHS → RHS
Given: cos²A + sin²A · cos2B
Double Angle Identity: cos²A + sin²A(1 - 2sin²B)
Distribute: cos²A + sin²A - 2sin²A·sin²B
Pythagorean Identity: 1 - 2sin²A·sin²B
Pythagorean Identity: cos²B + sin²B - 2sin²A·sin²B
Factor: cos²A + sin²B(1 - 2sin²A)
Double Angle Identity: cos²B + sin²B · cos2A
cos²B + sin²B · cos2A = cos²B + sin²B · cos2A [tex]\checkmark[/tex]
i give u 5 star help me :))))))))))))
Answer:
parallel is 5x + 3y = 13
perpendicular is 6x - 10y = 7
Step-by-step explanation:
PLEASE HELP ME FAST...
Answer:
Sequence a) Pattern: (-2) -9, -11, -13, -15, -17
Sequence b) Pattern: (-5) -15, -20, -25, -30, -35
Sequence c) Pattern: (-6) -13, -19, -25, -31, -37
Hope this helps!
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
A (Subtracting by 2): -9, -11, -13, -15, -17.
B(Subtracting by 5): -15, -20, 25, -30, -35
C(Subtracting by 6): -13, -19, -25, -31, -37
If triangle ABC, m B = 90°, cos(9 = 17, and AB = 16 units.
Based on this information, m
Note that the angle measures are rounded to the nearest degree.
units.
Answer:
m∠A = 62°
m∠C = 28°
AC = 17 units
Step-by-step explanation:
In the given triangle ABC,
m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units
Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]
Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]
[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]
m∠C = 28.07°
m∠C ≈ 28°
Therefore, side BC = 15 units and AC = 17 units
Now we apply Sine rule in the given triangle.
Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{BC}}{\text{AC}}[/tex]
= [tex]\frac{15}{17}[/tex]
A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]
A = 61.93°
m∠A = 62°
A movie theater conducted a survey to see what customers preferred at the concession stand. The theater asked every fifth person who entered the movie theater every Friday for a month what his or her favorite movie snack was. Were the results of the survey valid? A. No, because the theater did not survey everyone in the theater. B. Yes, because the theater only surveyed children. C. Yes, because the theater surveyed a random sample. D. No, because the theater did not use a random sample.
Answer:
A) No because the theater did not survey everyone in the theater.
Answer:
Yes, because the theater surveyed a random sample.
Step-by-step explanation:
The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.
What is the justification for step 2 in the solution process? 12 − x = 7x + 32 Step 1: -x = 7x + 20 Step 2: -8x = 20
A. the division property of equality
B.the addition property of equality
C. the subtraction property of equality
D. the multiplication property of equality
Answer:
C. the subtraction property of equality
Step-by-step explanation:
given
12 − x = 7x + 32
Subtract 12 from each side using the subtraction property of equality
Step 1: -x = 7x + 20
Subtract -7x from each side using the subtraction property of equality
Step 2: -8x = 20
Prove the identity sin^2theta x csc^2 theta = sin^2 theta + cos^2 theta 20 points!!
Answer:
Step-by-step explanation:
sin² Θ csc² Θ =sin² Θ + cos² Θ
sin² Θ 1/sin² Θ = sin² Θ + cos² Θ
1 = sin² Θ + cos ² Θ (this is a trig identity)
Graphing Linear Equations
Answer:
Kyra=15 points
Liam=20 points
30 points=y=4/3x+5
Step-by-step explanation:
I graphed each equation and point on the graph given
HOPE THIS HELPS!!! :)
PLEASE CORRECT ME IF IM WRONG
Find the missing the side of the triangle A. 130−−−√ m B. 179−−−√ m C. 42–√ m D. 211−−−√ m
Answer:
The answer is option AStep-by-step explanation:
Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side
Using the Pythagoras theorem
That's
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
From the question
x is the hypotenuse or the longest side of the triangle
Substituting the values into the above formula we have
[tex] {x}^{2} = {9}^{2} + {7}^{2} [/tex]
[tex] {x}^{2} = 81 + 49[/tex]
[tex] {x}^{2} = 130[/tex]
Find the square root of both sides
We have the final answer as
x = √130 mHope this helps you
earth is 93 million miles from the sun, while mars is 142 million miles from the sun. Theoretically, what is the closest distance mars could be to earth
Answer:
169.74
Step-by-step explanation:
this problem is like a triangle, the sun, mars, and earth are the three points, so you just use a^2 + b^2 = c^2 so basically
93^2 + 142^2 = c^2
8649 + 20164 = 28813
28813 square root = 169.74
The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC's products and services.
Full question :
The Tasty Sub Shop Case:
A business entrepreneur uses simple linear regression analysis to predict the yearly revenue for a potential restaurant site on the basis of the number of residents living near the site. The entrepreneur then uses the prediction to assess the profitability of the potential restaurant site.
And
The QHIC Case:
The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC’s products and services.
Discuss the difference in the type of prediction in both cases and provide rational of the reasons that these predictions were used.
Answer and explanation:
In the first case, The Tasty Sub Shop Case, the entrepreneur aims to utlilize the predicted values from his regression analysis in ascertaining profit of his potential business. He does this using the values from number of residents in the area(independent variables) to predict the revenue for his business(dependent variables). His predictions using the number of residents in the area are largely because the residents in the area are his target consumers and are the ones to buy food from his restaurant and increase his revenue.
In the other case, the marketing department in QHIC utilizes the predicted values in determining their customers who need to be aware of their products. They get the predicted values(home upkeep expenditure and dependent variable) by plotting their relationship with home value(independent variable) and then use predicted values of home upkeep expenditures in determining their customers who they will market their products to. They do this because predicting home upkeep expenditures will enable them determine what homes can afford or will need their products and services.
one utilizes his predictions at ascertaining profit while the other uses his predictions in determining potential customer base to market products to. The first case is making a revenue/ profitability prediction while the other is making a market prediction
when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?
Answer:
x-3 is cancelled and just one remains in numerator.
2 hours 40 minutes +11 hours 40 minutes
Answer:
14 hours 20 minutes
Step-by-step explanation:
→ Convert 2 hours and 40 minutes into minutes
2 hours + 40 minutes ⇒ 2 hours = 120 minutes + 40 minutes ⇒ 120 + 40 ⇒ 160 minutes
→ Convert 11 hours and 40 minutes into minutes
11 hours + 40 minutes ⇒ 11 hours = 660 minutes + 40 minutes ⇒ 660 + 40 ⇒ 700 minutes
→ Add the total minutes together
700 minutes + 160 minutes = 860 minutes
→ Convert 860 minutes into hours
860 minutes = 14 hours + 20 minutes
What is the asymptote of the function g(x) = 5⋅2^ 3x + 4 shown on the graph?
Answer:
y=4
Step-by-step explanation:
An exponential function of the form has a horizontal asymptote of .
The given function is .
The graph of the given function is shown in the attachment.
From the graph the horizontal asymptote is
Solve for x : 2^(x-5) . 5^(x-4) = 5
Answer:
x = 5
Step-by-step explanation:
Notice that there is also a base 5 on the right hand side of the equation, therefore, let's move [tex]5^{x-4}[/tex] to the right by dividing both sides by it. and then re-writing the right hand side as 5 to a power:
[tex]2^{x-5}\,*\,5^{x-4}=5\\2^{x-5}=5/5^{x-4}\\2^{x-5}=5\,*\,5^{4-x}\\2^{x-5}=5^{5-x}[/tex]
Now apply log to both sides in order to lower the exponents (where the unknown resides):
[tex](x-5)\,log(2)=(5-x)\,log(5)[/tex]
Notice that when x = 5, this equation is true because it makes it the identity: 0 = 0
So, let's now examine what would be the solution of x is different from 5, and we can divide by (x - 5) both sides of the equation:
[tex]log(2)=\frac{5-x}{x-5} \,log(5)\\log(2)=-1\,\,log(5)\\log(2)=-log(5)[/tex]
which is an absurd because log(2) is [tex]\neq[/tex] from log(5)
Therefore our only solution is x=5
Answer:
if decimal no solution
if multiply x =5
Step-by-step explanation:
If this is a decimal point
2^(x-5) . 5^(x-4) = 5
Rewriting .5 as 2 ^-1
2^(x-5) 2 ^ -1 ^(x-4) = 5
We know that a^ b^c = a^( b*c)
2^(x-5) 2 ^(-1*(x-4)) = 5
2^(x-5) 2 ^(-x+4) = 5
We know a^ b * a^ c = a^ ( b+c)
2^(x-5 +-x+4) = 5
2^(-1) = 5
This is not true so there is no solution
If it is multiply
2^(x-5) * 5 ^(x-4) = 5
Divide each side by 5
2^(x-5) * 5 ^(x-4) * 5^-1 = 5/5
We know that a^ b * a^c = a^ ( b+c)
2^(x-5) * 5 ^(x-4 -1) = 1
2^(x-5) * 5 ^(x-5) = 1
The exponents are the same, so we can multiply the bases
a^b * c*b = (ac) ^b
(2*5) ^ (x-5) = 1
10^ (x-5) = 1
We know that 1 = 10^0
10^ (x-5) = 10 ^0
The bases are the same so the exponents are the same
x-5 = 0
x=5
What is the volume of this rectangular prism?
3 cm
cm
1
cm
Answer:
.75cm³
Step-by-step explanation:
To find the volume of a shape like this it is,
base×height×width.
In this case it is .5×.5×3=.75cm³
Answer:
3/4 or 0.75
Step-by-step explanation:
Length times width times height:
1/2 * 1/2 * 3
= 3/4
Simplify the scalar multiplication on the matrix.
Answer:
third option
Step-by-step explanation:
Given
3 [tex]\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right][/tex]
Multiply each element in the matrix by 3
= [tex]\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right][/tex]
Answer:
C.
Step-by-step explanation:
1. Look at the numbers listed below. Which numbers are rational? Select all that apply.
9.1874639...
424, 489
121
5/3
Listed below are numbers of internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. construct aâ scatterplot, find the value of the linear correlation coefficientâ r, and find theâ p-value of r. determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. use a significance level of alpha α equals = 0.05 0.05. internet users 78.0 78.0 79.0 79.0 56.2 56.2 68.3 68.3 77.9 77.9 38.2 38.2 award winners 5.5 5.5 8.8 8.8 3.3 3.3 1.7 1.7 10.8 10.8 0.1 0.1
Answer:
There is not sufficient evidence to support a claim of linear correlation between the two variables.
Step-by-step explanation:
The data provided is as follows:
X Y
78 5.5
79 8.8
56.2 3.3
68.3 1.7
77.9 10.8
38.2 0.1
(a)
The scatter plot is attached below.
(b)
Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, r.
The correlation coefficient between the number of internet users and the award winners is,
r = 0.797.
(c)
The test statistic value is:
[tex]t=r\sqrt{\frac{n-2}{1-r^{2}}}[/tex]
[tex]=0.797\times\sqrt{\frac{6-2}{1-(0.797)^{2}}}\\\\=0.797\times 3.311372\\\\=2.639163484\\\\\approx 2.64[/tex]
The degrees of freedom is,
df = n - 2
= 6 - 2
= 4
Compute the p-value as follows:
[tex]p-value=P(t_{n-2}<2.64)=0.057[/tex]
*Use a t-table.
p-value = 0.057 > α = 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.
The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm? A. 4 cm B. 8 cm C. 16 cm D. 18 cm
Answer:
guys its 8cm its the most logic answer because 8x 4 is 32, correct me if im wrong
Step-by-step explanation:
Express the following in scientific notation: 0.0000079
Answer:
7.9 * 10 ^-6
Step-by-step explanation:
Move the decimal 6 places to the left so there is one number before the decimal
0.0000079
7.9
The exponent is -6 ( negative because we moved it to the left)
7.9 * 10 ^-6
Answer:
Hey there!
7.9 × 10-6 is your answer.
Hope this helps :)
Simplify the expression a-2b, when a=1.4 - 2x and b=-0.2x + 1.7 *
Answer:
a-2b= -1.6x-2.0
Step-by-step explanation:
[tex]a=1.4-2x\\b=-0.2x+1.7\\a-2b= (1.4-2x)-2(-0.2x+1.7)\\a-2b= 1.4-2x+0.4x-3.4\\a-2b=-1.6x-2.0\\[/tex]
{By, substituting the values of a and b in a-2b , we can find the value of a-2b}
Parabolic microphones are used for field audio during sports events. The microphones are manufactured such that the equation of their cross section is x=1/34y^2, in inches. The feedhorn part of the microphone is located at the focus
a. How far is the feedhorn from the edge of the parabolic surface of the microphone?
b. What is the diameter of the microphone? Explain your reasoning
c. If the diameter is increased by 5 inches, what is the new equation of the cross section of the microphone?
Answer:
a. 8.5 in.
b. 34 in
c. x = 1/39 x^2.
Step-by-step explanation:
Part a.
x = 1/34 y^2
y^2 = 34x
Comparing with y^2 = 4px where p is the focus:
4p = 34
p = 8.5 in.
Part b.
The diameter = 4p = 34 in.
Part c.
Diameter = 4p = 34 + 5 = 39 in
The new equation is x = 1/39 x^2.
Which parent function is f(x)= |3|
A. The quadratic parent function
B.The linear parent function
C. An exponential parent function
D. The absolute value parent function
Answer:
D. Absolute value parent function
we can know fro the symbol |x| in the question written f(x)= |3|
(x-1)(x+4) write in standard form
Answer:
x^2+3x-4
Step-by-step explanation:
(x-1)(x+4)
x^2+4x-x-4
x^2+3x-4
Hope this helps ;) ❤❤❤
Answer:
y = x² + 3x -4
Step-by-step explanation:
we can use the FOIL formula
(x-1) (x+4)
x² + 4x - x -4
x² + 3x -4
therefore, the standard form would be y = x² + 3x -4
Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches?
Answer:
41 inches
Step-by-step explanation:
Let the point at the top of the door on the left be x
Wx + xH = 45
Let the point at the top of the door on the right be c
Yc + cZ = 37
We know the door is
xH + plus the width of the tile
The width of the tile is Yc
xH + Yc
On the right door
cZ + the height of the tile
cZ + Wx
Add the two doors together
xH + Yc + cZ + Wx = 2 times the height of the door
Rewriting
xH + Wx + Yc + cZ = 2 times the height of the door
45+ 37 = 2 times the door height
82 = 2 times the door height
Divide by 2
41 = door height
Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .
Answer:
not a term
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
d = 11- 5 = 17 - 11 = 23 - 17 = 6
This indicate the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 6, thus
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Equate this to 301 and solve for n
6n - 1 = 301 ( add 1 to both sides )
6n = 302 ( divide both sides by 6 )
n = 50.333....
Since n is not an integer value then 301 is not a term in this sequence.
