Answer:
a) 6 cups
Step-by-step explanation:
We can use a ratio for this:
sugar : flour
2 : 3
x : 9
2 3
--- = ---
x 9
Cross multiply:
2 (9) = 3x
18 = 3x
6 = x
x = 6
To double-check, you can plug the value back into the ratio and make them fractions, then simplify to see if it gets the original amount. Here's what I'm talking about:
2 : 3
x : 9 ======> 6 : 9
\(\frac{6}{9} \frac{/3}{/3} = \frac{2}{3}\)
for an f-curve with df = (20, 5), find f0.025
The value of f(0.025) is approximately ±2.086 for an f-curve with df = (20, 5).
The t-distribution is a way of describing a set of observations where most observations fall close to the mean, and the rest of the observations make up the tails on either side. It is a type of normal distribution used for smaller sample sizes, where the variance in the data is unknown.
To find f(0.025) for an f-curve with df = (20, 5), we need to use a t-distribution table.
First, we need to determine the critical value for a two-tailed test with a significance level of 0.05 and 20 degrees of freedom (df).
Looking at the t-distribution table, we find that the critical value is approximately ±2.086.
Next, we can use the formula for the t-distribution to calculate f(0.025):
f(0.025) = t(0.025, 20) = ±2.086
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Ginger is starting a 330-page book. Suppose she reads for 4 hours and averages 35 pages per hour.
a. How many pages will she read in 4 hours?
b. After 4 hours, how many pages will she still have to read to finish the book??
Answer:
140 and 190
Step-by-step explanation:
Each hour she reads 35 pages.
So, lets add the amount of pages she reads every hour 4 times which gives us the answer for 4 hours.
35+35+35+35 = 140
or
35x4=140
She reads 140 pages in 4 hours.
To find how many pages she has left is,
330-140=190
She has 190 pages left to read
(new to brainly so not sure if its right)
Find the distance between the two points to the nearest tenth. (0,-5) and (-4,2) 5 5.3 5.2 5.6
what is the rule for finding the sum of two negative integers
adding two negative integers always yields a negative sum
Let G
be a finite group and let H
be a normal subgroup of G
. Prove that the order of the element gH
in G/H
must divide the order of g
in G
.
I see that if we have: H={e,h1,...,h2},gH={g,gh1,...,gh2},...,gk−1H={gk−1,gk−1h1,...,gk−1h2}
, then the only true deciding element in H
in e
, because no matter what g
you use you will produce the original coset once g|g|=e
.
But this seems to show that |g|=|gH|
.
Am I missing something here? Because this does divide it, but only trivially.
Yes, you are correct that the order of the element gH in G/H trivially divides the order of g in G.
To prove this, note that the order of g in G is the smallest positive integer n such that g^n = e (the identity element of G). Therefore, if we consider the elements in the coset gH, we have (gH)^n = g^nH = eH, since H is normal in G.
This means that the order of gH in G/H is the smallest positive integer k such that (gH)^k = eH. But we know that (gH)^k = g^kH, so this means that the order of gH divides the order of g in G.
Therefore, we have shown that the order of gH in G/H divides the order of g in G, as desired.
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write the equation of a line that passes through (12,10) and is perpendicular to y=-3/4x-6
Answer:
Step-by-step explanation:
will give brainliest NEED HELP can some explain how to do this THANKS :D
Answer:
(x + 13, y + 7)
Step-by-step explanation:
Hello there!
In order to find what the translation rule is, we need to find how much it move to the right/left and up/down
In this case, the line segment VW moved up 7 and to the right by 13
We can get this by checking how far apart the points are
I checked how far apart V and V prime
(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)
V is 13 units to the left of V prime and 7 units below V prime
This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units
So, the translation rule is (x + 13, y + 7)
*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*
Solve for h.
-3/4 - h + 1/3h - 2 = -4/3h -3
Answer:
h = -3/8
Step-by-step explanation:
-3/4 - h + 1/3h - 2 = -4/3h -3
combine like terms
-2 = -8/4
-3 = -12/4
-2/3h - 11/4 = -4/3h -12/4
2/3h - 11/4 = -12/4
2/3h = -1/4
8/12h = -3/12
8h = -3
h = -3/8
Help greatly appreciated.
Find the values of x and y. I need help knowing which formula to use and what to plug into the formula. Thank you.
The value of x is 4√6. The value of y is 4√2.
What are similar triangles?
If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.
Consider △ABC:
Height = AC = x, Hypoteneous = BC = 4+8 = 12.
Consider △ADC:
Height = DC = 8, Base = AD = y, Hypoteneous = AC = x
Consider △ABD:
Height = AD = y, Base = 4.
The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.
The ratio of the corresponding sides of similar triangles is constant.
Consider △ABC and △ADC:
AC/DC = BC/AC
x/8 = 12/x
x² = 12×8
x = 4√6.
Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.
Consider △ADC and △ABD:
DC/AD = AD/BD
8/y = y/4
y² = 4×8
y = 4√2
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 7
and DC 11, what is the length of BD in simplest radical form?
The length of BD in simplest radical form is √77 units
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Hypotenuse AC = AD + DC = 7 + 11 = 18
Altitude = square root of the multiplication of AD and DC
√(7 x 11) = X
√77 = X
√77 can't be simplified further
Therefore, the length of BD is √77 units
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Plzzzz I need the answer
if Greg makes 120 minutes of long distance calls for the month, which plan costs less?
Answer: Plan A
Step-by-step explanation:
use 120 = x on the graph and which ever one has the smallest y value is the answer
Find the 49th term.
-15, -10, -5, O, 5, ...
49th term = [?]
1st term + common difference(desired term - 1)
Enter
Answer:
49th term = 225
Step-by-step explanation:
The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.
An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.
The general formula, for the nth term of an arithmetic progression, is thus:
Tn = a + (n - 1)d, where a = first term, and d = common difference.
In the sequence: -15, -10, -5, 0, 5...,
a = -15, and d = -10--15 = 5
T49 = -15 + (49 - 1)5 = 225
∴ 49th term = 225
Can someone show me how to do this step by step
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.
Which of the following is the best measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 8.
The median is the best measure of center, and it equals 7.3.
The mean is the best measure of center, and it equals 7.3.
The median is the best measure of center, and it equals 8.
The mean is the best measure οf center, and it equals 7.3.
Given that a line plot displays the number of roses purchased per day at a grocery store.
We need to find the mean,
So,
Mean = 6+6+7+7+8+8+8+9+9+10+1 / 11 = 7.3
Hence, the mean is the best measure οf center, and it equals 7.3.
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3(x + 5) = 2(4x + 9)
Answer:
x=-3/5
Step-by-step explanation:
3(x + 5) = 2(4x + 9)
First, distribute:
3(x)+3(5)=2(4x)+2(9)
3x+15=8x+18
-5x= 3
x= -3/5
Which statement best describe the sides of a rhombus? *
A) Is a parallelogram with four congruent sides
B) Is a parallelogram with only the two opposite sides congruent
C) Is a parallelogram with the opposite sides congruent but not parallel
D) Is a quadrilateral that does not have the properties of a parallelogram
Answer:
the option A is a correct ans .
In how many days will the number of bacteria in the culture reach 800,000?
Answer:
2log(16000)
Step-by-step explanation:
Solve
PLEASE HELP AND HURRY!
Answer:
it's -7 1/3 because since the equation is all negative you would just simply add the -5 and -2 1/3
please someone help me please due in 10 min
Which data set is the most clustered around its mean?
A.4, 10, 8, 6
B.11, 3, 10, 4
C.2, 9 ,13, 4
D.11, 2, 9, 6
The data set is the most clustered around its mean is
A.4, 10, 8, 6
How to find the dataTo determine which data set is the most clustered around its mean, we can calculate the mean and the standard deviation for each data set.
calculate the mean and standard deviation for each data set
Data Set A: 4, 10, 8, 6
Mean: (4 + 10 + 8 + 6) / 4 = 28 / 4 = 7
Standard Deviation: √[(4-7)^2 + (10-7)^2 + (8-7)^2 + (6-7)^2] / 4 ≈ 1.58
Data Set B: 11, 3, 10, 4
Mean: (11 + 3 + 10 + 4) / 4 = 28 / 4 = 7
Standard Deviation: √[(11-7)^2 + (3-7)^2 + (10-7)^2 + (4-7)^2] / 4 ≈ 3.87
Data Set C: 2, 9, 13, 4
Mean: (2 + 9 + 13 + 4) / 4 = 28 / 4 = 7
Standard Deviation: √[(2-7)^2 + (9-7)^2 + (13-7)^2 + (4-7)^2] / 4 ≈ 4.27
Data Set D: 11, 2, 9, 6
Mean: (11 + 2 + 9 + 6) / 4 = 28 / 4 = 7
Standard Deviation: √[(11-7)^2 + (2-7)^2 + (9-7)^2 + (6-7)^2] / 4 ≈ 3.27
Comparing the standard deviations, we find that data set A has the smallest standard deviation of approximately 1.58. this indicates that the data points in Data Set A are the closest to the mean, making it the most clustered around its mean.
Therefore, the answer is A. 4, 10, 8, 6.
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-x + 4 = -9 Solve the equation.
Answer:
-13
Step-by-step explanation:
Subtract 4 from both sides of the equation
+ 4 = − 9
+ 4 − 4 =− 9 − 4
Simplify
Solution:
= − 1 3
Answer:
x = -13
Step-by-step explanation:
I hope it helps you, sorry if it is wrong.
f(x) = 6^x for x=3
are the function for the given value:
Answer:
f(3) = 216
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 6ˣ
x = 3
Step 2: Evaluate
Substitute: f(3) = 6³Exponents: f(3) = 216a(n) ____ is a mathematical representation of an object created by a special software
A(n) MODEL is a mathematical representation of an object created by a special software.
In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.
It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.
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Please help !!
Given: C is the midpoint of NB; C is the midpoint of MA
Prove: ABC is congruent to NMC
STATEMENTS
Check the picture below.
Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)
Answer:
f(1) = 15
f(-9) = -65
f(0) = 7
Step-by-step explanation:
f(1) = 8(1) + 7
f(1) = 8 + 7
f(1) = 15
f(-9) = 8(-9) + 7
f(-9) = -72 + 7
f(-9) = -65
f(0) = 8(0) + 7
f(0) = 7
How is 1/8 bigger than 1/10
1/8>1/10
1×10>1×8/10×8
10/80>8/80
Which of the following angles would create a supplementary pair?
Answer: A and D
Step-by-step explanation: Supplementary angles add up to 180 degrees, which A and D do
The volume of the cone is 540 Pi , work out the height of the cone. radius = 6cm
Answer:
\(14.32 \: cm\)
Step-by-step explanation:
The volume of the cone formula is:
\(\pi r^2 h/3\)
Substitute in the values and solve for h.
\(540= \pi (6)^2 h \times 1/3\)
\(540= \pi (36) h \times 1/3\)
\(540= 36\pi h \times 1/3\)
\(540 \times 3/1= 36\pi h\)
\(1620=36\pi \times h\)
\(\frac{1620 }{36\pi} =h\)
\(\frac{45 }{\pi} =h\)
\(h=14.32394\)
Answer:
\(41.98cm\)
Step-by-step explanation:
Volume of a cone
\(v = \pi {r}^{2} \frac{h}{3} \\ \)
\(504\pi = 1582.56\)
Solve for h ( height)
\(h = 3 \frac{v}{\pi {r}^{2} } \\ = 3 \times \frac{1582.56}{\pi \times {6}^{2} } \\ = 41.97871
\)
hope this helps
8.
Which equation is represented by the graph?
A. y = −3x^2 + 2
B. y = 2x^2 − 3
C. y = 2x^2 − 2
D. y = 3x^2 − 2
Answer:
D. y = 3x^2 − 2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
2
)
Focus:
(
0
,
23
12
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
25
12
x
y
−
2
−
10
−
1
−
1
0
2
1
−
1
2
−
10
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
3
)
Focus:
(
0
,
−
23
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
25
8
x
y
−
2
5
−
1
−
1
0
−
3
1
−
1
2
5
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
2
)
Focus:
(
0
,
−
15
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
17
8
x
y
−
2
6
−
1
0
0
−
2
1
0
2
6
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
2
)
Focus:
(
0
,
−
23
12
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
25
12
x
y
−
2
10
−
1
1
0
−
2
1
1
2
10
PLEASE HELP ITS FOR A GRADE !
Answer:
its C
Step-by-step explanation:
x = 16250
hope it helps!