For BRAINLIST!!
Which statement is best supported by the information in the dot
plots?
Answer: D
Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then
A recipe for lemonade called for 1 cup of sugar and 5cups of water.How much sugar is used per cup of water
what is the sum of 56.743 and 3.89(to the nearest thousandths place)
Answer:
60.633 is the sum of 56.743 and 3.89
Answer: 61.000
Step-by-step explanation:
56.743+3.89=60.633 and 6 tells 60 to go up 1 making it 61.000
Solve for the value of a.
(8a)•\(5a-2)
Answer: a =
Submit Answer
о
attempt 1 out o
Answer:
a = 14
Step-by-step explanation:
The angles share a common side terminal side, so they are supplementary angles. This also means they add up to 180º.
8a + (5a - 2) = 180
Combine like terms.
13a - 2 = 180
13a = 182
Divide both sides by 13.
a = 14
This is your answer.
Check your work by plugging "a" back into the original equation.
8a + (5a - 2) = 180
8(14) + [5(14) - 2] = 180
112 + (70 - 2) = 180
112 + 68 = 180
180 = 180
Your answer is correct.
Hope this helps!
Which input value produces the same output value for
the two functions on the graph?
O x=-1
Ox=0
Ox=1
Ox=2
Answer:
C
Step-by-step explanation:
It's another way of saying where the lines cross. So if the input value (x) = 1 then both lines have an output value of 1.
3 lines intersect to form 5 angles. Clockwise, from top left, the angles are B = question mark, 90 degrees, C = question mark, D = 124 degrees, A = question mark. What is the value of m∠A + m∠B? °
Answer:
The answer is 90 degrees
Step-by-step explanation:
Both A and B make a right angle, which is 90 degrees.
Hope it helped :)
The value of m∠A + m∠B is 90°
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
Three lines intersect to form 5 angles such that:
From the top left ∠B made and after this 90° made.
∠D = 124°
From the figure, we can clearly see ∠A = ∠C (vertically opposite angles)
We can calculate ∠C = 360°-90°-90°-124° ⇒ 56°
Also ∠A = 56°
and ∠B = 90° - 56° ⇒ 34°
Now we can calculate the sum of the angle ∠A+∠B = 56+34 ⇒ 90°
Thus, the value of m∠A + m∠B is 90°
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3x-2/4 -2x-5/3 = 1+x/6 i wil mark brainliest plz solve this equation with explanation
Answer:
x is equal to 19/5 which can also be expressed as \(3\frac{4}{5}\), or 3.8
Step-by-step explanation:
\(3x - 2/4 - 2x - 5/3 = 1 + x/6\\\\x - x / 6 = 1 + 2/4 + 5/3\\\\5x/6 = 6/6 + 3/6 + 10/6\\\\\frac{5}{6}x = 19/6\\\\x = \frac{19}{6} * \frac{6}{5}\\\\x = \frac{19}{5}\)
Answer:
x = 12
Step-by-step explanation:
Solve:
\(\displaystyle \frac{3x-2}{4}-\frac{2x-5}{3}=\frac{1+x}{6}\)
To eliminate denominators, we multiply all terms by the LCM of 4,3, and 6 = 12.
Multiply by 12:
\(3(3x-2)-4(2x-5)=2(1+x)\)
Operating:
\(9x-6-8x+20=2x+2\)
\(9x-8x-2x=6-20+2\)
Simplifying:
-x=-12
x = 12
Is it 78 or 39 ? Help
answer thiss PLZZZZ
I REALLYYY NEEDDDD HELLLPPP
Answer:
\(y=\frac{1}{2} x+2\)
Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
Answer:
The first one is False.
Step-by-step explanation:
If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.
A set of numbers is shown. Place the numbers from least to greatest.
Answer: -6.25, -2, 3/4, 3, 5, 6, 67/10 would be the soliton
What is the following product?
√12 √18
O√30
O 5√6
O 6√5
O 6√6
Answer: \(6\sqrt{6}\)
Step-by-step explanation:
\(\sqrt{12}=2\sqrt{3}\\\\\sqrt{18}=3\sqrt{2}\\\\\implies \sqrt{12} \sqrt{18}=2\sqrt{3}(3\sqrt{2}=\boxed{6\sqrt{6}}\)
The product of square root of 12 i.e.,√12 and square root of 18 i.e.,√18 is 6√6.
What is product law for exponent?When two numbers has equal power then we can multiply the the numbers and the power remains same. The number in the power is called exponent and the number is called as base. In \(a^m\), \(m\) is the exponent and \(a\) is the base of the number \(a^m\).
Step-by-step explanation:
\(\sqrt{12}\)\(=\sqrt{4}\)×\(\sqrt{3}\)\(=2\)×\(\sqrt{3}\) , since the square root of 4 is 2
\(\sqrt{18}=\sqrt{2}\)×\(\sqrt{9}\)\(=\sqrt{2}\)×\(3\) , since the square root of 9 is 3
Now, \(\sqrt{12} \sqrt{18} = 2\)×\(3\)×\(\sqrt{2}\)×\(\sqrt{3}\) from above.
\(=6\sqrt{6}\)
Hence the product of √12 and √18 is √12√18=6√6
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Drag each tile to its equivalent measure, rounded to the nearest tenth.
Options: 19.8, 10.2, 22.7, 15.4
Measure Equivalent
4 in. _____ Cm
7 kg _____lb
6 gal _____L
65 ft _____ m
The correct matches are: 4 in. → 10.2 cm , 7 kg → 15.4 lb
6 gal → 22.7 L and 65 ft → 19.8 m.
What are conversions?Conversions refer to the process of changing a measurement from one unit to another unit that measures the same quantity.
For example, converting distance from miles to kilometers, or converting weight from pounds to kilograms.
Here are the conversions:
1 inch = 2.54 cm (approx.)
1 kg = 2.205 lb (approx.)
1 gal = 3.785 L (approx.)
1 ft = 0.3048 m (approx.)
Using these conversions, we can find the equivalent measures:
4 in. → 4 × 2.54 = 10.16 ≈ 10.2 cm
7 kg → 7 × 2.205 = 15.435 ≈ 15.4 lb
6 gal → 6 × 3.785 = 22.71 ≈ 22.7 L
65 ft → 65 × 0.3048 = 19.812 ≈ 19.8 m
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Santiago has been approved for a conventional loan which requires a 20% down payment, he has been approved for a mortgage up to $195,000. If Santiago buys a house for the max amount, how much will his down payment be? Therefore, how much house could Santiago afford? How much is Santiago's down payment? How much can Santiago spend on a house?
If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:
Down payment = 20% * $195,000
Down payment = $39,000
Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.
To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:
Maximum home price = Total mortgage amount - Down payment
Maximum home price = $195,000 - $39,000
Maximum home price = $156,000
Therefore, Santiago can afford a home up to a maximum price of $156,000.
To summarize:
Santiago's down payment will be $39,000.
Santiago can spend up to $156,000 on a house.
I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull
mZDEF = 5x – 3 and mZFEG=2x+15
Answer:
x = 24
Step-by-step explanation:
Step 1:
5x -3 + 2x + 15 = 180
Step 2:
7x + 12 = 180
Step 3:
7x = 168
Answer:
x = 24
Hope This Helps :)
what was the key to getting support for converting from petroleum to synthetic lubricants?
Answer:
Step-by-step explanation:
Graph the circle (x-2)^2 + (y-7)^2 = 4
Answer:
see attached
Step-by-step explanation:
You want the graph of the circle defined by the equation ...
(x-2)^2 + (y-7)^2 = 4.
Circle equationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Comparing this to the given equation, we see ...
h = 2, k = 7, r² = 4
Then r = √4 = 2.
The circle will have its center at (2, 7) and will have a radius of 2. It is shown in the attached graph.
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Find the range of the data
5,9,13,6,4,5,8,12,12,6
Answer:
9
Step-by-step explanation:
highest value: 13
lowest value: 4
13-4= 9 which is the range
Answer: 9
Step-by-step explanation: 13-4=9
)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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The dimensions of a rectangular water tank are 2
m 75 cm by 1 m 80 cm by 1 m 40 cm. How many
litres of water does it hold when filled to the brim?
Rectangle volume formula: Volume = length × width × height
V = 2.75 × 1.80 × 1.40 = 6.93 meters³
1m³ = 1000 litres
6.93 × 1000 = 6930 litres
Answer:
6930 litres of water can hold when filled to the brim.
Answer: 6930 liters
2.75 * 1.80 * 1.40
6.93
6.93*1000 is 6930 liters
Brainliest pls if it is correct!
I will give brainliest and ratings if you get this correct
Using Cramer's rule for first-order condition:
x₁ = -149/444x₂ = -69/222x₃ = 139/444Using Hessian for the second-order condition, critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.
How to determine 1st and 2nd order condition?(a) Using Cramer's rule for the first-order condition:
To optimize the function y, find the critical points where the gradient is equal to zero. The gradient of y is given by:
∇y = [6x₁ - x₂ - 3x₃ - 5, -x₁ + 12x₂ + 2x₃ - 4, 2x₂ + 8x₃ + 2 - 3x₁]
Setting the gradient equal to zero:
6x₁ - x₂ - 3x₃ - 5 = 0 (1)
-x₁ + 12x₂ + 2x₃ - 4 = 0 (2)
2x₂ + 8x₃ + 2 - 3x₁ = 0 (3)
Using Cramer's rule to solve this system of linear equations, the determinant of the coefficient matrix is:
|A| =
| 6 -1 -3 |
|-1 12 2 |
|-3 2 -3|
|A| = 444
The determinant of the matrix obtained by replacing the first column of A with the constants on the right-hand side of the equations is:
|A₁| =
| 5 -1 -3 |
| 0 12 2 |
| 0 2 -3|
|A₁| = -149
The determinant of the matrix obtained by replacing the second column of A with the constants is:
|A₂| =
| 6 5 -3 |
|-1 0 2 |
|-3 0 -3|
|A₂| = -138
The determinant of the matrix obtained by replacing the third column of A with the constants is:
|A₃| =
| 6 -1 5 |
|-1 12 0 |
|-3 2 2|
|A₃| = -278
Therefore, using Cramer's rule:
x₁ = |A₁|/|A| = -149/444
x₂ = |A₂|/|A| = -69/222
x₃ = |A₃|/|A| = 139/444
(b) Using the Hessian for the second-order condition:
To check whether the critical point found in part (a) is a maximum, minimum or saddle point, we need to use the Hessian matrix evaluated at the critical point. The Hessian of y is given by:
(y) =
| 6 0 -3 |
| 0 12 2 |
|-3 2 8 |
Evaluating H(y) at the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444):
H(y) =
| 6 0 -3 |
| 0 12 2 |
|-3 2 8 |
The eigenvalues of H(y) are 2, 6, and 18, which are all positive. Therefore, H(y) is positive definite, and the critical point is a minimum.
Therefore, the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.
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what do you need to know ask me
Answer:
i got a whole lotta math questiosn to ask, answer them for me I give u bigger points
Step-by-step explanation: please n thanks man
Answer:
Can you please answer my question?
Step-by-step explanation:
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Find the measure of EACH numbered angle. 18° m
The measure of the angle 1, angle 2, angle 3 is 68°, 94°, 25° respectively.
What is angle?
An angle is created where two straight lines or rays meet at a single point. The point from where two lines converge is known as an angle's vertex. The name "angle" comes from the Latin word "angulus," which meaning "corner."
Let's firstly find angle 1,
We know that, the sum of the all three angles of a triangle is 180°.
So,
18° + 94° + angle 1 = 180°
112° + angle 1 = 180°
angle 1 = 180° - 112°
angle 1 = 68°
Now, we know that, opposite angle are always equal
Therefore,
angle 2 = 94°
Now, again applying the property of triangle that sum of all three angles are equal:
Therefore,
angle 3 + angle 2 + 61° = 180°
angle 3 + 94° + 61° = 180°
angle 3 = 25°
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Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
Answer:
Step-by-step explanation:
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Write the slope-intercept form of the equation of the line through the given point and slope.
Through: (1,-1) and Slope = 1 *
1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1
Answer:
1
Step-by-step explanation:
Anything multiplied 1 is that number
Answer:
1
Step-by-step explanation:
Solve the equation in the real number system: x^8-4x^7+3x^6+8x^5-15x^4+4x^3+9x^2-8x+2=0
The solutions for the given equation are x=−1,1,√2,−√2. Therefore, option B is the correct answer.
The given equation is x⁸-4x⁷+3x⁶+8x⁵-15x⁴+4x³+9x²-8x+2=0.
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Here, (x⁸-4x⁷+8x⁵+4x³)+3x⁶-15x⁴+9x²+2=0
(x-1)⁵(x³+x²-2x-2)=0
(x-1)⁵(x²-2)(x-1)=0
(x-1)⁵=0, (x²-2)=0 and (x-1)=0
x=±1 x=±√2 and x-1
Exact Form: x=−1,1,√2,−√2
Therefore, option B is the correct answer.
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3x + 2(4x - 4) = 3 find for x
Answer:
the answer is x=1
Step-by-step explanation: