Answer:
-1/4
Step-by-step explanation:
in y=mx+b, m represents the slope. Let's try to get your equation to look like that. We can see that on the left side, the y is not yet alone so we must try to accomplish that. to do that we divide by -8 from the -8y, but we must also do that to the other side. you would get y=-2/8x-5/8. then we would simplify the -2/8x into -1/4x. Now it is y=-1/4x-5/8 and that resembles y=mx+b. m is slope and -1/4 is m.
Another question!
Solve the equation 12 - 2(3H) = -18 for H
Answer:
H is gonna be equivalent to 5
Show that if a is an integer and d is an integer greater than 1, then the quotient and remainder obtained when a is divided by d are a/d anda − da/d, respectively
To prove that if a is an integer and d is an integer greater than 1, then the quotient and remainder obtained when a is divided by d are [a/d] and a − d[a/d], respectively, we need to use the Division Algorithm.
The Division Algorithm states that for any two integers a and d with d>0, there exist unique integers q and r such that a = dq + r, where r is the remainder and 0 ≤ r < d.
Now, let's apply this algorithm to the given problem. We have:
a = dq + r
We want to express q and r in terms of a and d. To do this, we first divide both sides by d, giving:
a/d = q + r/d
Now, we take the floor function of both sides (i.e., the greatest integer less than or equal to a/d), giving:
[a/d] = q
Next, we multiply both sides by d and subtract from a, giving:
a - d[a/d] = a - dq = r
Therefore, the quotient and remainder obtained when a is divided by d are [a/d] and a − d[a/d], respectively. This proves the statement.
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Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true?
Answer: The triangle is impossible due to triangle inequality theorem
Step-by-step explanation:
Triangle inequality theorem states that the sum of side lengths of any two sides of a triangle must be greater than the length of the third side. Since 4 + 12 < 17, then this triangle cannot exist.
Answer:
This triangle does not exist because the sum of 4 and 12 is less than 17.Step-by-step explanati
Help sos help sos help sos help sos
Answer:
The cheapest price for the apples is 0.90 for 12 oz
0.3/lb
Step-by-step explanation:
0.90 / 12 = 0.075
0.075 is the unit rate.
0.075 x 4 = 0.3
Answer:
Apple A
Step-by-step explanation:
Yesterday, there were q variants of a strain of bacteria. Today there are q^2 variants of the bacteria. There are 900 variants today. How many variants were present yesterday?
Answer:
30
Step-by-step explanation:
Since there are 900 today, and the variants square each day, we can take the square root of 900.
\(\sqrt{900} =30\)
900 = q^2, so q = 30, so yesterday there were 30 variants
there are x boys playing in the park. the number of girls playing in the park is equal to the square root of the number of boys. if the total number of boys and girls playing in the park is 42 find the number of boys
Answer:
36 boys
Step-by-step explanation:
36+6= 42
Writing a two-column proof
Answer: I know this is late, but hope this helps. ^-^
Step-by-step explanation: Edge 2021.
To prove : m∠ABC = m∠GHI
Given,
∠ABC ≅ ∠DEF
∠GHI ≅ ∠DEF
Here,
∠ABC ≅ ∠DEF
∠GHI ≅ ∠DEF
∠DEF ≅ ∠ABC (Symmetric property)
∠GHI ≅ ∠ABC (transitive property)
m∠GHI = m∠ABC (definition of ≅ angles)
m∠ABC = m∠GHI ( symmetric property)
Hence
m∠ABC = m∠GHI
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Question 25
In Signal Detection, if you know the true underlying sensitivity is d′=2, but you measure d′=0, what can you conclude?
A. The subject has an extreme criterion
B. Signal detection analysis doesn't work
C. There is too much noise in the experiment
D. The subject has an unbiased criterion
Question 26
In signal detection, when there are more False Alarms than Hits, it means that
A. d′ is positive
B. The criterion is negative
C. The criterion is unbiased
D. d′ is negative
25.The correct answer is A. The subject has an extreme criterion.26. The correct answer is B. The criterion is negative.
Question 25:If you know the true underlying sensitivity (d') is 2, but you measure d' as 0, the most reasonable conclusion would be that the subject has an extreme criterion. The criterion refers to the decision threshold used to differentiate between signal and noise. In this case, the subject's criterion is likely set in such a way that they are more conservative or cautious, leading to a reduced sensitivity measure.Therefore, the correct answer is A. The subject has an extreme criterion.
Question 26:When there are more False Alarms than Hits in signal detection, it suggests that the criterion is negative. The criterion represents the decision threshold, and a negative criterion implies a more liberal or lenient approach to categorizing events as a signal. This leads to a higher likelihood of detecting false alarms (incorrectly identifying noise as a signal) while potentially missing some true signals.Hence, the correct answer is B. The criterion is negative.
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10. Kendall drew a right triangle. The tangent value for one angle in her triangle is 1.8750. Which set of side lengths could belong to a right triangle similar to the triangle Kendall drew? A. 16, 30, 35 B. C. 6, 8, 10 D. 1.875, 8, 8.2 8, 15, 17
The sets of side lengths that are similar to the triangle that Kendall drew are; A. 16, 30, 35, and D. 8, 15, 17.
How to obtain the sidesThe tangent of a right triangle is given as the opposite side divided by the adjacent side. Now, we are given the value of the tangent to be 1.8750.
To obtain the tangents, we are going to divide the opposite by the adjacent as follows:
30/16 = 1.875
8/6 = 1.333
8/1.875 = 4.266
15/8 = 1.875.
So, the set of side lengths that are similar to the triangle that Kendall drew are 16, 30, 35, and 8, 15, 17.
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can any one explain why you have to do Addition and Subtraction in Scientific Notation or how we will use it in the real world
We must remember to multiply each integer by a power of 10 while subtracting numbers in scientific notation.
what is significant figures ?A value's accuracy is influenced by the number of significant digits in the value, which is frequently a measurement. Count the significant digits starting with the first non-zero digit. All zeros are permitted in the decimal places to the right of the last non-zero place. Consider the five significant digits in the number 0.0079800. Any zeros to the right of the last non-zero digit, when they come from the measurement, are significant. rounding an integer to 3 significant digits and 3 decimal places is identical. Go up to three and begin counting at the first digit that is not zero. Remove the last digit after that. The final two digits to the right of the decimal point should be increased by zeros.
To make it simple to subtract these integers, they must all be in the same power, as demonstrated in the example below.
5×10^2−3×10^2=
5(100)−3(100)^2×10^2=
(500−300)^2×10^2
=200
However, before continuing, we must restate the numbers in similar powers of ten if the powers of ten for the numbers to be subtracted are not the same.
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(3x^2 + 2x + 3) + (x^2 + x + 1)
Answer:
4x^2+3x+4
Step-by-step explanation:
Given (3x^2+2x+3)+(x^2+x+1)
=x^2(3+1)+x(2+1)+(3+1)
=4x^2+3x+4.
Answer:
4x^2 + 3x + 4
Step-by-step explanation:
(3x^2 + 2x + 3) + (x^2 + x + 1)
3x^2 +2x +3 + x^2 + x + 1
4x^2 + 2x + 3 + x + 1
4x^2 + 3x + 3 + 1
4x^2 + 3x + 4
The answer is 4x^2 + 3x + 4.
What is linear equation Class 8 example?
such pair of equation that have only one pair of solutions which satisfy both equation is linear equation
What is the solution to the equation 2(×+2. 4)=6. 4
Answer:
0.8
Step-by-step explanation:
2x + 4.8 = 6.4
2x = 6.4 - 4.8
2x = 1.6
x = 0.8
Answer:
x = 0.8Step-by-step explanation:
In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .
Solution : -
\( \longmapsto \: 2(x + 2.4) = 6.4\)
Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :
\( \longmapsto \: 2x + 4.8 = 6.4\)
Step 2 : Subtracting 4.8 on both sides :
\( \longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8\)
On further calculations :
\( \longmapsto \:2x = 1.6\)
Step 3 : Dividing by 2 on both sides :
\( \longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2} \)
Calculating further :
Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10
\( \longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10} \)
Step 4 : Cancelling 16 by 2 :
\( \longmapsto \:x = \frac{8}{10} \)
\( \longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}\)
Therefore value of x is 0.8 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
2 ( x + 2.4 ) = 6.42 ( 0.8 + 2.4 ) = 6.42 ( 3.2 ) = 6.46.4 = 6.4L.H.S = R.H.SHence, Verified .Therefore, our value for x is correct .
#Keep LearningFind mAB
B
E
C
A
23
11%
D
Segment and angle lengths are not drawn to scale.
Enter your answer in the box.
Answer:
arc AB = 68°
Step-by-step explanation:
You want the measure of arc AB whose parts are arc AE and EB with inscribed angles ADE = 11° and EDB = 23°.
Angle AdditionThe measure of angle ADB is the sum of the measures of its parts:
∠ADB = ∠ADE +∠EDB
∠ADB = 11° +23° = 34°
Inscribed angleThe measure of an inscribed angle is half the measure of the arc it subtends. This means the arc measure is twice the inscribed angle measure.
arc AB = 2 × ∠ADB = 2 × 34°
arc AB = 68°
A function is a relation where each input value is assigned to_____one output value
A. exactly
B. less than
C. at least
graph y= -4/3 x+2 using the slope and y-intercept
Answer:
i hope this helps or some-what helps
Step-by-step explanation:
I'm new and a baby elefant
Answer:
cool
Step-by-step explanation:
Answer:
ok now h h h h h j j j m m n j oh g g g h j
SOMEONE PLEASE GIVE ALL THE ANSWERS I WILL GIVE ALL MY POINTS
Answer:
This is so cool.
Step-by-step explanation:
Oh my god.
A
Step-by-step explanation:
Create the following vectors in R using seq() and rep(). (a) 1;1:5;2;2:5;:::;12 (b) 1;8;27;64;:::;1000 Question 3. Solve the next equation. ∑t=110(1+0.031)t
To create the vectors using `seq()` and `rep()` in R:
(a) To create the vector `1;1:5;2;2:5;...;12`, we can use `seq()` and `rep()`. Here is the code:
```
vector_a <- c(1, rep(seq(1, 5), each = 2), seq(2, 5), 12)
```
- `seq(1, 5)` generates a sequence from 1 to 5.
- `rep(seq(1, 5), each = 2)` repeats each element of the sequence twice.
- `seq(2, 5)` generates a sequence from 2 to 5.
- `c()` combines all the elements into a vector.
- The resulting vector will be `1;1;2;2;3;3;4;4;5;5;2;3;4;5;12`.
The vector `1;1:5;2;2:5;...;12` can be created using `seq()` and `rep()` in R.
(b) To create the vector `1;8;27;64;...;1000`, we can use `seq()` and exponentiation (`^`). Here is the code:
```
vector_b <- seq(1, 1000) ^ 3
```
- `seq(1, 1000)` generates a sequence from 1 to 1000.
- `^ 3` raises each element of the sequence to the power of 3.
- The resulting vector will be `1;8;27;64;...;1000`, as each number is cubed.
The vector `1;8;27;64;...;1000` can be created using `seq()` and exponentiation (`^`) in R.
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A group of 29 friends get together to play a sport first person must be divided into team each team has to have exactly 4 players and no one can on a team more than once. How many team can they make
Answer:
7 teams remaining a person
Step-by-step explanation:
29/4 = 7 remainder 1
NEEDDD HELPPPP ASAPPPPPPPPPP !!
Answer:
42 = 8x + 13x
42 = 21x
x = 2
8 = 8c -4(c + 8)
8 = 8c - 4c - 32
8 = 4c - 32
40 = 4c
c = 10
Answer:
42 = 8x + 13x42 = 21x
42/21 = x
x = 2
check:
42 = 8*2 + 13*2
42 = 16 + 26
8 = 8c - 4(c+8)8 = 8c -4*c -4*8
8 = 8c - 4c - 32
8 + 32 = 4c
40 = 4c
40/4 = c
c = 10
Check:
8 = 8*10 - 4(10+8)
8 = 80 - 4*18
8 = 80 - 72
in a game a player throws a dart at the object shown here. if the player throws two darts, what is the probability they both land in a shaded region
The probability of an event happening is represented as a fraction, with the numerator being the number of favorable outcomes and the denominator being the total number of outcomes.
In this case, if the player throws two darts, the probability that both land in a shaded region is equal to the product of the probabilities of each dart landing in the shaded region.
If the shaded region is a circle with radius r and the darts are randomly thrown onto a larger circle with radius R, then the probability of a dart landing in the shaded region is given by:
P = (Area of shaded region) / (Area of larger circle) = (πr^2) / (πR^2)
So, the probability that both darts land in the shaded region is given by:
P = (πr^2 / πR^2) * (πr^2 / πR^2) = (πr^2 / πR^2)^2
Note that the specific values of r and R would depend on the particular game and the dimensions of the object.
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Two semicircles are attached to the sides of a rectangle as shown.
(WILL GIVE BRAINLY IF RIGHT)
What is the approximate area of this figure?
Use 3.14 for pi.
Enter your answer in the box. Round only your final answer to the nearest whole number.
Answer:
157 in²Step-by-step explanation:
The area of the shape is the sum of three sections
1. Rectangle
A = 5*14 = 70 in²2. Bigger semicircle
A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)3. Smaller semicircle
A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)Total area:
70 + 77 + 10 = 157 in²answer:
157 inches²
step-by-step explanation:
we have to break this down into parts and find the area of each part and then add them up so we have the area for the whole thingrectangle:
5 X 14 = 70 inches²
big semicircle:
solve this like a simple circle and then divide by 2 since this is halfarea = πr²
insert what we know from the questionarea = (3.14)(7)²
the radius would be seven because as you can see the length of a side of the rectangle is 14 and this is also the diameter of the circle since they are attached and share itthe radius is half of the diameter so we get 7area = 3.14(49)
= 153.86 inches²
now divide this by 2 since it is semicircle153.86 / 2 = 76.93 inches²
small semicircle:
area = (3.14)(2.5)²
i followed the same method as last, except the numbers are differentarea = 3.14(6.25)
= 19.625 inches²
now divide by 219.625 / 2 = 9.8125 inches²
finally, add up all the separate areas you got70 inches² + 76.93 inches² + 9.8125 inches²
= 156.7425 inches²
= 157 inches²
2 If x and y vary directly and y=32 when x=18, then which of the following equations correctly represents
the algebraic relationship between x and y?
(A)y=16/9x
(B)y=x+14
(C) x+y=50
(D)y=9/16x
The equation would be y = 16/9x which represents the algebraic relationship between x and y which is the correct answer would be an option (A).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Given that x and y vary directly and y = 32 when x = 18
Direct variation equation can be written as:
y = kx where "k" is a constant.
Substitute the values of y = 32 and x = 18 in the direct variation equation and solve for k:
⇒ 32 = k(18)
⇒ k = 32/18
⇒ k = 16/9
The direct variation equation :
⇒ y = 16/9x
Therefore, the equation would be y = 16/9x which represents the algebraic relationship between x and y.
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What is the answer to this question −11+4x≤ 17
Linear inquality : −11+4x≤ 17
Adding 11 on both sides
=> -11 + 4x + 11 < 17 + 11
=> 4x < 28
Dividing both sides by 4
=> 4x/4 < 28/4
=> x < 7
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27°
15
Solve for b.
40°
b
b = [ ?
Round your final answer
to the nearest tenth.
10.59 is the value of the given side b.
In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.
Using the sine rule, we can write:
b/sin(27°) = 15/sin(40°)
To find the value of b, we can rearrange the equation:
b = (15 * sin(27°)) / sin(40°)
evaluate the trigonometric functions and calculate b:
b ≈ 10.59
Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.
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Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3.
Answer:
-15
That was the correct answer on my quiz!
could you please help me?
how many digits in 250¹¹×40¹⁹?
To find the number of digits in 250¹¹×40¹⁹, we need to first calculate the value of this expression and then count the number of digits in the result.
To calculate the value of 250¹¹×40¹⁹, we can use the rule of exponents that says:
a¹ⁿ × b¹ᵐ = (a × b)¹ⁿᵐUsing this rule, we can simplify the expression as:
250¹¹ × 40¹⁹ = (2⁵ × 5³)¹¹ × (2³ × 5)¹⁹= 2¹¹ × 5³¹ × 2⁵ × 5¹⁹= 2¹⁶ × 5⁵⁰Now, we need to calculate the number of digits in 2¹⁶ × 5⁵⁰. To do this, we can take the logarithm of this number to the base 10, and then add 1 to the result. The integer part of the logarithm will give us the number of digits in the number.
So, we have:
log(2¹⁶ × 5⁵⁰) = log 2¹⁶ + log 5⁵⁰Using the logarithm rule that says log aⁿ = n log a, we can simplify this expression as:
Using the logarithm rule that says log aⁿ = n log a, we can simplify this expression as:log(2¹⁶ × 5⁵⁰) = 16 log 2 + 50 log 5
Using the logarithm rule that says log aⁿ = n log a, we can simplify this expression as:log(2¹⁶ × 5⁵⁰) = 16 log 2 + 50 log 5Now, we need to evaluate log 2 and log 5. We can use a calculator to get:
log 2 ≈ 0.30103log 5 ≈ 0.69897Substituting these values, we get:
log(2¹⁶ × 5⁵⁰) ≈ 16 × 0.30103 + 50 × 0.69897
≈ 9.0321Finally, adding 1 to this result, we get:
number of digits = ⌈log(2¹⁶ × 5⁵⁰)⌉ + 1
= ⌈9.0321⌉ + 1= 10Therefore, there are 10 digits in 250¹¹ × 40¹⁹3. Solve your equation to find the distance Jane’s trainer bikes. Show your work.
4. How much farther does Jane travel than her trainer?
(my previous answers so this will make sense)
1. The total distance jane bikes and runs is 28 miles.
2. Janes trainer bikes a distance of 20 miles.
Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.
What are arithmetic operations?
By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.
3. Using pythagoras theorem, we get the equation as D² = 12² + 16².
⇒D² = 144 + 256
⇒D² = 400
⇒D = √400
⇒D = 20
4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.
So, the difference is 28-20= 8 miles
Hence, Jane travels 8 miles much farther than her trainer.
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Write the equation of the line in slope-intercept form.
Answer:
y=-1/10x+50 I beleive.
Step-by-step explanation:
y=mx+b
y2-y2/x2-x1
(10,4); (20,3)
3-4/20-10
-1/10
y=-1/10x+50