Answer:
2m - 3
Step-by-step explanation:
she ran 3 miles less than twice as far as Jim
If the spinner is spun twice, what is the probability that an arrow will Stop on a number greater than 1 on both spins?
The spinner has 8 divisions, where 2 of those division have the number 1, and the other 6 divisions numbers greater than 1. The probability of getting a number greater than one on a single spin is given by the ratio between the amount of divisions with numbers greater than 1 by the total amount of divisions, which is
\(\frac{6}{8}=\frac{3}{4}=0.75\)The probability of getting a number greater than one in a single spin is 0.75.
Each spin is an independent event. The probability that on both spins the arrow will stop in a number greater than one is given by the product between the probabilities of getting a number greater than one on each spin, and both of them are 0.75. Their product is
\(\frac{3}{4}\times\frac{3}{4}=\frac{9}{16}=0.5625\)If the spinner is spun twice, the probability that an arrow will stop on a number greater than 1 on both spins is 0.5625.
Which expression has the same value as the one below?
44 + (-12)
O A. 44 - 12
OB. 44
O C. 56
O D. 44 + 12
Answer:
a
Step-by-step explanation:
PLEASE HELP!! THIS IS REALLY SERIOUS!!
Answer:
A. y= - 1/2x + 20
B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)
C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline
hope this helps ;)
62. A boat leaves the marina and sails 6 miles north, then 2 miles northeast. How far from the marina is the boat, and in what direction must it sail to head directly back to the marina?
The marina is 6. 3 miles from the boat
The direction must it sail to head directly back to the marina Is due south
How to determine the distance
From the information given, we have that;
The boat sails 6 miles north
then, the boat sails then 2 miles northeast
Using the Pythagorean theorem which states that the square of the longest leg of a triangle is equal to the sum of the squares of the other two sides of that triangle.
Then, we have to substitute the values, we get;
d² = 6² + 2²
Find the square values, we have;
d² = 36 + 4
d² = 40
Find the square root of both sides
d = 6. 3 miles
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a strip of wire of length 32 cm is cut into two pieces. one iece is bent to form a square of side x cm. the other piece is bent to form a rectangle of length lcm and width 3cm. write an expression, in terms of l and x, for the length of the strip wire. show that l=13-2x. the sum of the areas of the squareand the rectangle is represented by S. show that S=x^2-6x+39
Answer:
A strip of wire of length 32 cm is cut into two pieces. One piece is bent to form a square of side xcm.
Perimeter of the square = x + x + x + x
= 4xcm
The other piece is bent to form a rectangle of length lcm and width 3cm.
Perimeter of the rectangle = 2(lcm) + 2(3cm)
= 2lcm + 6cm
Write an expression, in terms of l and x, for the length of the strip wire. Show that l = 13 - 2x.
Length of strip wire = perimeter of the square + perimeter of the rectangle
32cm = 4x + (2l + 6)
26 = 4x + 2l
13 = 2x + l
l = 13 - 2x
The sum of the areas of the square and the rectangle is represented by S. Show that S = x² - 6x + 39.
S = Area of the square + area of the rectangle = x² + (l × 3)
= x² + ((13 - 2x) × 3)
= x² + (39 - 6x)
x² - 6x + 39
pleaseee help meee will give brainliest or whateva
Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
8 - 4 plus 5654 times 76756456723879
Answer:
4.3398101e+17
Step-by-step explanation:
The bear population increases at a rate of 2% per year. If there are 1,200 bears currently, how many bears will there be in 10 years?
\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1200\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=\textit{elapsed time}\dotfill &10\\ \end{cases} \\\\\\ A=1200(1 + 0.02)^{10}\implies A=1200(1.02)^{10}\implies A\approx 1462\)
What's 144x8 (8*9) 7+10 67x100
Hey there!
144 * 8 * 8 * 9 * 7 + 10 * 67 * 100
= 1,152 * 8 * 9 * 7 + 10 * 67 * 100
= 1,152 * 72 * 7 + 10 * 67 * 100
= 82,944 * 7 + 10 * 67 * 100
= 580,608 + 10 * 67 * 100
= 580,608 + 67 * 100
= 580608 + 67,000
= 647,608
Therefore, your answer is: 647,608
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
c. Explain how you could rewrite a sine function as a cosine function.
The equivalent cosine function is f(x) = 3 cos (2x - 60°).
To rewrite a sine function as a cosine function, we use the identities given below:
cosθ = sin (90° - θ)sinθ = cos (90° - θ)
In other words, we replace the θ in sin θ with (90° - θ) to get the equivalent cosine function and vice versa. Let's consider an example. Let's say we have the sine function
f(x) = 3 sin (2x + 30°) and we want to rewrite it as a cosine function.
The first step is to find the equivalent cosine function using the identity:
cosθ = sin (90° - θ)cos (2x + 60°) = sin (90° - (2x + 60°))cos (2x + 60°) = sin (30° - 2x)
The next step is to simplify the cosine function by using the identity:
sinθ = cos (90° - θ)cos (2x + 60°) = cos (90° - (30° - 2x))cos (2x + 60°) = cos (2x - 60°)
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How many sides does a regular polygon have when each side is 30 degrees
The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.
Let us consider 'n' be the number of sides of the regular polygon.
Let 'y' be the measure of each of the exterior angle of regular polygon.
y = 30 degrees
Measure of each of the exterior angle of regular polygon 'y'
= ( 360° ) / n
⇒ n = ( 360° / y )
Substitute the value we get,
⇒ n = ( 360° / 30° )
⇒ n = 12
Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.
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The above question is incomplete, the complete question is:
How many sides does a regular polygon have when each exterior angle measures 30 degrees?
please help ill mark brainliest!
Answer:
subject?
Step-by-step explanation:
Step-by-step explanation:
you can look at the image.
Divide f(x) by d(x). Your answer
should be in the following format:
f(x)
d(x)
f(x)
d(x)
=
=
Q(x) +
R(x)
d(x)
x³ + 2x² - 72x - 28
x-8
R(x) = [?]
Only enter the R(x) term.
The value of R(x) term is 36.
We are given that;
The equation x³ + 2x² - 72x - 28
Now,
We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.
Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).
x² + 10x + 8
_______________
x-8 | x³ + 2x² - 72x - 28
- (x³ - 8x²)
-------------
10x² - 72x
- (10x² -80x)
-------------
8x -28
- (8x -64)
----------
36
Q(x) = x² + 10x + 8 and R(x) = 36.
Therefore, by the equation the answer will be R(x) = 36.
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Two cars start at the same point and simultaneously drive in opposite directions.
The speed of the first car is s miles per hour. The speed of the second car is 5
miles per hour less than the speed of the first car.
The cars are 315 miles apart 1.5 hours after they start moving. Use the answer
from part (c) to write an equation.
Can the numerator of a fraction that describes a set be greater than the denominator?Why
No, the numerator of a fraction that describes a set cannot be greater than the denominator.
Fractions represent a part-to-whole relationship, where the numerator represents the part and the denominator represents the whole. Thus, it is not possible for the part to be greater than the whole.
In a fraction, the numerator represents the number of parts we have, while the denominator represents the total number of equal parts that make up the whole. For example, in the fraction 3/5, the numerator is 3, indicating that we have 3 parts out of a total of 5 equal parts.
If the numerator were greater than the denominator, such as in the fraction 7/4, it would imply having more parts than the whole, which contradicts the fundamental meaning of a fraction. Fractions are used to represent proportions, divisions, or ratios, and having a numerator larger than the denominator would violate the concept of representing a part of a whole. Therefore, it is not possible for the numerator of a fraction that describes a set to be greater than the denominator.
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Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup.
The result is 120 grams of 15% sugar syrup.
Use your answers to parts (b), (c), and (d) to write an equation.
PLEASE HELP IM SO STUCK !!
Answer: 120-x
Step-by-step explanation:
So for how many grams of 25% syrup it will be 120-x because the some amount + x = 120 grams of 15% syrup
so 120-x = the some amount of syrup.
This will be the answer for the problem you were asking for
If you have 6 parts keep scrolling since I will supply some more answers
Next part: How much pure sugar is in the 25% syrup?
For the amount of pure sugar there is in the 25% syrup
that will equal 0.25(120-x) = 30-0.25x
Next: How much sugar is in 120 grams of 15% sugar syrup?
10% of 120 is 12
5% = 12/2 = 6
12+6 = 18
Now the earlier stuff from the problem will come in handy
use the previous answers to write an equation
0.25(120-x)+0.10x=18
= 30-0.25x+0.10x=18
30 -0.15x=18
Now the final part to solve the equation and find the 10% solution and the 25% solution
-0.15x=18-30 = -12
-0.15x=-12
x= -12/-0.15
x=80
the problems not done yet though
we need to find the 25% solution
25% solution = 120-x and x = 80
120-80 = 40
The 10% solution is 80 grams and the 25% solution is 40 grams
I need help with 8th grade math
Natalie is the creator of Better Brain, a new mindfulness app for teens. The app currently has 1,262 downloads, and Natalie has set a goal of doubling the downloads every month.
Write an exponential equation in the form y=a(b)x that can model Natalie's goal for the number of downloads, y, in x months.
The exponential equation of the given statement will be equal to, 1262 ×\((2)^x\).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Total number of downloads initially = 1,262
Let the number of months be x.
Then, the equation will be,
y = 1262\((2)^x\)
Here, y is the total number of songs.
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Suppose ∠A and ∠B are complements, while ∠B and ∠C are supplements. If m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1), then m∠A=44, m∠B=46, and m∠C=134. TRUE OR FALSE? Please show your work.
Answer:
TRUE
Step-by-step explanation:
Angle <A and angle <B are complementary, which means their sum must be = 90
Angle <B and angle <C are supplementary which means their sum must be = 180
Now let's see
m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1)
first find the sum of A and B
3x + 17 + 55 - x = 90 add like terms
2x + 72 = 90 subtract 72 from both sides
2x = 18 divide both sides by 2
x = 9
TRUE OR FALSE is asked for
m∠A=44, m∠B=46, and m∠C=134
to find that we just replace c with 9 with every expression given for angles
m<A = 3x + 17
m<A = 3*9 + 17 = 44
m<B = 55 - x
m<B = 55 - 9 = 46
m<C = 134, we don't really need to calculate one by one since the angle are complementary and supplementary.
The answer is TRUE
The statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
∠A and ∠B are complements, while ∠B and ∠C are supplements.
∠A + ∠B = 90 degree
3x + 17 + 55 - x = 90
2x = 18
x = 9
Angle ∠B and angle ∠C are supplementary:
∠B + ∠C = 180
55 -x + 67(x/3 - 1) = 180
x = 9
Put the value of x and find angles A, B, and C.
m∠A = 44
m∠B = 46
m∠C = 134
∠A + ∠B = 90
∠B + ∠C = 180
The above statement is true.
Thus, the statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.
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Use De Morgan's laws to write a statement that is equivalent to the following statement. -(pvq) Choose the correct answer below. O O pv q PAq -pv-q ~PA q
Using De Morgan's laws we obtain that the statement that is equivalent to -(pvq) is: (-p) v (-q)
To use De Morgan's laws to write a statement that is equivalent to -(pvq), we can apply two separate transformations:
1. De Morgan's first law states that the negation of a disjunction (pvq) is equivalent to the conjunction of the negations of the individual propositions.
In other words, ¬(p v q) is the same as (¬p) ∧ (¬q).
2. The negation of a conjunction (¬p ∧ ¬q) is equivalent to the disjunction of the negations of the individual propositions.
In other words, ¬(p ∧ q) is the same as (¬p) v (¬q).
Applying these laws to -(pvq), we can rewrite it as (-p) v (-q).
Therefore, the statement that is equivalent to -(pvq) is (-p) v (-q).
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what are the values of x and y?
Answer:
if you divide the square root of X plus the 14th amendment to the constitution of declaration then the people of Madagascar should tell you that the independent variable in the school is fully 14,000,000,621
Step-by-step explanation:
I think this is right if it is could you please give me brainlyist
find the area use 22/7 for π
Answer:
= 28.2857142857
or
≈ 28
Step-by-step explanation:
22/7 x 3^2
or
22/7(3 x 3)
hope this helps
have a good day
The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following:
a. Increasing the difference between the sample mean and the original population mean.
b. Increasing the population standard deviation.
c. Increasing the number of scores in the sample.
The z-score in a hypothesis test measures the number of standard deviations a sample mean is away from the population mean. The value of the z-score is influenced by several factors, and we will discuss the impact of each factor individually while assuming that all other variables are held constant.
a. Increasing the difference between the sample mean and the original population mean: The difference between the sample mean and the population mean is a measure of the effect or significance of the observed data. As this difference increases, the z-score also increases. A larger difference indicates a more significant deviation from the population mean, resulting in a larger z-score. This indicates stronger evidence against the null hypothesis, supporting the alternative hypothesis.
b. Increasing the population standard deviation: The population standard deviation represents the variability or spread of the data points in the population. When the population standard deviation increases, it means that the data points are more spread out from the mean. Consequently, a sample mean would be relatively closer to or further away from the population mean in terms of standard deviations. As a result, the z-score increases, indicating a larger deviation from the population mean and providing stronger evidence against the null hypothesis.
c. Increasing the number of scores in the sample: As the number of scores in the sample increases, the sample mean becomes more precise and reliable. The standard error of the sample mean decreases, which is the standard deviation of the sample mean distribution. With a smaller standard error, the difference between the sample mean and the population mean becomes more apparent relative to the variability of the data. This leads to a larger z-score, indicating a more significant deviation from the population mean and providing stronger evidence against the null hypothesis.
So, increasing the difference between the sample mean and the original population mean, increasing the population standard deviation, or increasing the number of scores in the sample, all contribute to larger z-scores. Larger z-scores signify more significant deviations from the population mean and provide stronger evidence against the null hypothesis in a hypothesis test.
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Please help me
I really need help
Answer:
The answer is 22g
Step-by-step explanation:
First combine 12g+4g and you get 16g
Then combine 16g+6 and you get 22g
Please help me with this
Answer:
16m
Step-by-step explanation:
AB would be double DE
Rewrite the following iterated integral using five different orders of integration. ∫ -2 2 ∫ √ (4 − x2) -(4 − x2) ∫ 4 x^2+y^2 g(x,y,z) dz dy dx
∫ -√2 √2 ∫ -2 2 ∫ x^2+y^2 4 g(x,y,z) dz dy dx; ∫ -2 2 ∫ x^2+y^2 4 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dy dz dx; ∫ -√2 √2 ∫ -2 2 ∫ x^2+y^2 4 g(x,y,z) dz dx dy; ∫ x^2+y^2 4 ∫ -2 2 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dx dz dy and ∫ x^2+y^2 4 ∫ -2 2 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dy dx dz are the different orders of integration.
Given the integral ∫ -2 2 ∫ √(4 − x^2) -(4 − x^2) ∫ 4 x^2+y^2 g(x,y,z) dz dy dx, here are the five different orders of integration:
1. dxdydz:
∫ -√2 √2 ∫ -2 2 ∫ x^2+y^2 4 g(x,y,z) dz dy dx
2. dxdzdy:
∫ -2 2 ∫ x^2+y^2 4 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dy dz dx
3. dydxdz:
∫ -√2 √2 ∫ -2 2 ∫ x^2+y^2 4 g(x,y,z) dz dx dy
4. dydzdx:
∫ x^2+y^2 4 ∫ -2 2 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dx dz dy
5. dzdxdy:
∫ x^2+y^2 4 ∫ -2 2 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dy dx dz
These are the five different orders of integration for the given iterated integral.
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Yessir all the opps tryna put me on a t shirt
Step-by-step explanation:
Answer:
x=20 and y=50
Step-by-step explanation:
Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
erika wants at least 6 kilograms of apples for a recipe. she picks a 2.56-kilogram bag of red apples, a 1.18 kilogram bag of green apples, and a 2.79 kilogram bag of yellow apples
Erika has 6.53 kilograms of apples, which is more than the 6 kilograms she needed for the recipe. Therefore, she has enough apples to make the recipe.
To determine if Erika has at least 6 kilograms of apples, we need to add the weight of all three bags of apples. The total weight of the apples is:
2.56 kg + 1.18 kg + 2.79 kg = 6.53 kg
Erika needs a certain amount of apples for a recipe, specifically 6 kilograms. She goes to the store and picks three different bags of apples - a 2.56-kilogram bag of red apples, a 1.18-kilogram bag of green apples, and a 2.79-kilogram bag of yellow apples. To determine if she has enough apples, she needs to add the weight of all three bags. The total weight of the apples comes out to be 6.53 kilograms. This means that Erika has more than the required 6 kilograms of apples and is sufficient to make the recipe. It's important to note that Erika has an excess of apples, which can be helpful in case she needs extra for the recipe or for future use. The combination of different types of apples can also add variety and flavor to the recipe.
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Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 3x + 75y = 75. Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = 0 Width = 0 (Type exact answers, using radicals as needed)
We want to find the dimensions of the rectangle of maximum area that can be inscribed in the ellipse $3x + 75y = 75$, with sides parallel to the coordinate axes.
Let the length of the rectangle be $x$, and the width be $y$. Then, the area of the rectangle is $A = xy$.
Since the sides of the rectangle are parallel to the coordinate axes, its vertices lie on the ellipse $3x + 75y = 75$. The endpoints of the rectangle's length must lie on the x-axis, so we set $y=0$ and solve for $x$:
3x + 75*0 = 75
x = 25
Similarly, the endpoints of the rectangle's width must lie on the y-axis, so we set $x=0$ and solve for $y$:
3*0 + 75y = 75
y = 1
Therefore, the rectangle with sides parallel to the coordinate axes and maximum area that can be inscribed in the ellipse has length $x=25$ and width $y=1$.
The area of the rectangle is $A=xy=25*1 = {25}$.
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