What is the value of x?
Answer: x = 27
Step-by-step explanation:
we know that vertical angles are equal to each other, so
4x + 7 = [ 5 (x - 4) ]
distribute
4x + 7 = 5x - 20
subtract 4x from each side to combine variables
4x - 4x + 7 = 5x - 4x - 20
simplify
7 = x - 20
add 20 to both sides to solve for x
7 + 20 = x -20 + 20
simplify
27 = x
check your work, substitute value of x into equation
4x + 7 = 5x - 20
4(27) + 7 = 5(27) - 20
108 + 7 = 135 - 20
115 = 115
solution equals and is true, problem solved!
A triangle was dilated by a scale factor of 6. if sin a° = four fifths and segment de measures 30 units, how long is segment ef? triangle def in which angle f is a right angle, angle d measures a degrees, and angle e measures b degrees segment ef = 15.5 units segment ef = 24 units segment ef = 30 units segment ef = 37.5 units
The triangle DEF's section EF measures 24 units in length.
As per the data given in the above question are as bellow,
The provided details are as follow,
Procedure: Calculating the length that results from distorting a triangle by a scale factor
The triangle mentioned in the previous sentence is summarised in the diagram below. Using a trigonometric relationship, we discover that the following formula best describes the length of the section EF:
\($\sin a^{\circ}=\frac{E F}{D E}$\)
If we know that DE=30 and \($\sin a^{\circ}=\frac{4}{5}$\), then the length of the segment EF is:
\(E F=D E \cdot \sin a^{\circ} \\& E F=30 \cdot\left(\frac{4}{5}\right) \\\)
EF=24
Sine (sin), cosine (cos), and tangent (tan), which are defined in terms of the ratios of the sides of a right triangle, are the fundamental trigonometric functions.
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Note: The correct question would be as bellow,
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
2x^4 −15x^3 +27x^2 +2x +8 is divided by x−4
Answer:
Step-by-step explanation:
Standard: 2x^3 - 7x^2 -x-2
Quotient: 2x^3- 7x^2 -x-2
remainder: 0
Solve (x-4)² = 5.
A. x=9 and x = -1
B. x=-4± √√5
OC. x=4+√5
D. x-5± √√4
Answer:
see explanation
Step-by-step explanation:
(x - 4)² = 5 ( take square root of both sides )
x - 4 = ± \(\sqrt{5}\) ( add 4 to both sides )
x = 4 ± \(\sqrt{5}\)
that is
x = 4 - \(\sqrt{5}\) , x = 4 + \(\sqrt{5}\)
Answer:
I don't know please don't ask me of boys
(c) Which functions have graphs with slopes less than -2?
(Check all that apply.)
Answer:
function 2
Step-by-step explanation:
1: m= 4
2: m= -4
3: m= 2
4: m= -1
true or false? when performing regression analysis, different samples will all yield the same sample regression line.
False. When performing regression analysis, different samples will not necessarily yield the same sample regression line.
This is because the sample regression line is based on the specific data points in the sample, and different samples may have different data points that can lead to different regression lines. However, if the samples are representative of the same population and the relationship between the variables is consistent, the regression lines may be similar. The term "content loaded" does not apply to this question.
False. When performing regression analysis, different samples will not all yield the same sample regression line. The regression line depends on the specific data points in the sample, so if you have different samples, it's likely that their regression lines will be different as well.
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Which of the following correlation coefficients represents the strongest relationship between two variables? -.75 +.60 .00 +.30
The correlation coefficient that represents the strongest relationship between two variables is -0.75.
In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.
The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.
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Order these angels from least to greatest
13 and 14
The solution is
a) Angle N < Angle R < Angle Q
b) Angle G < Angle H < Angle J
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
a)
Let the first triangle be ΔNQR
QR = 17 m
NQ = 21 m
NR = 24 m
Now , the angle opposite to the side having the largest length will be the largest angle
And , the angle opposite to the side having the smallest length will be the smallest angle
So , substituting the values in the equation , we get
Angle opposite to QR = Angle N
Angle N is the smallest angle in ΔNQR
And , Angle opposite to NR = Angle Q
Angle Q is the largest angle in ΔNQR
Therefore , Angle N < Angle R < Angle Q
b)
Let the second triangle be ΔGHJ
HJ = 6 in
GJ = 7 in
GH = 10 in
Now , the angle opposite to the side having the largest length will be the largest angle
And , the angle opposite to the side having the smallest length will be the smallest angle
So , substituting the values in the equation , we get
Angle opposite to HJ = Angle G
Angle G is the smallest angle
Angle opposite to GH = Angle J
Angle J is the largest angle
Therefore , Angle G < Angle H < Angle J
Hence , the angles are in the order
a) Angle N < Angle R < Angle Q
b) Angle G < Angle H < Angle J
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Point B is in quadrant __________ and Point D is in quadrant __________.
A. I, II
B. IV, I
C. II,I
D.IV,III
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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Line N passes through the points (-1,4) and (-1,-4)Which is true of line N?
Answer:
Line N is a vertical line with an undefined slope
Step-by-step explanation:
To find slope we do (y2-y1)/(x2-x1)
So we do that with (-1,4) and (-1,-4)
(-4-4)/(-1-(-1))
-8/0
Since the denominator is 0, that means the slope is undefined because you cannot divide by 0
If ⅆyⅆt=6e−0. 08(t−5)2, by how much does y change as t changes from t=1 to t=6 ?
(A) 3. 870 (B) 8. 341 (C) 18. 017 (D) 22. 583
Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).
To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.
∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\) dt
We can use the substitution u = t - 5 to simplify the integral:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du
Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870
Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).
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Number 33 WILL GIVE BRAINLIEST ANSWER QUICKLY
Answer:
A
Step-by-step explanation:
67/20 improper fraction when changed to a mixed number is
3 7/20
that is equal to
3 14/40
PleASE HELP FAST
no links
Answer:
y=40/183x
Step-by-step explanation:
y = Rise/Run multiplied plus y intercept by x or Y= mx + b
There is no b
m = 40/183
Y = 40/183x
Please help-Due tonight-12:00 pm I will mark brainlest if it is right
Answer:4
Step-by-step explanation:
In the circle, O is the centre and AB is a diameter.
a) work out the size of angle a
b) work out the size of angle b
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
Write an equation of the line with the indicated slope and y-intercept.
Slope = -2, y- Intercept = 9 y= (Use integers or fractions for any numbers in the equation. Type your answer it
\( \mathbb{ANSWER:}\)
We can substitute the given into the slope-intercept form so we can write an equation.
\(\sf y = mx + b\)
where,
m is the slopeb is the y-intercept\(\sf y = - 2x + 9\)
∴ The equation is y = -2x + 9
The equation is: y = -2x + 9
Explanation:
Let's write the equation in slope intercept (y = mx + b) form.
In y = mx + b form,
m = slope;
b = y intercept.
Similarly
if the slope is -2 and the intercept is 9,
then we have:
\(\sf{y=-2x+9}\)
Hence, this is our equation.
Analyze: 5r+ 3 when r=3
5r+3
5(3)+3
15+3
Answer is 18
Answer:
You plug 3 in for R
So the answer is 18
Work
5(3)+3
5(3) = 15
15 + 3 = 18
I'm doing mathematical that I have never learned
Answer: 6
Step-by-step explanation:
Cancel out the GCF (4)
Multiply the numbers in parenthesis (9x3)
Cancel out GCF (3 and 27)
9-3=6
Answer: 6
Step-by-step explanation:
Given Equation: 1/3*(9/4*12)-3
To solve this equation, you will need to do so according to PEMDAS.
First, you must solve the equation in the parenthesis.
1/3*(9/4*12)-3
= 1/3*(27)-3
Next, do the multiplication.
1/3*(27)-3
=9-3
Finally, subtract the values.
9-3
=6
Answer: 6
The time it takes NFL running backs to run the 40-yard dash follows a normal distribution with a mean time of 4.59 seconds and a standard deviation of 0.12 second. Let x = the time it takes an NFL running back to run the 40-yard dash. (Use the Empirical Rule. Write your answers as a percent.) (a) P(x < 4.23)
The Empirical Rule given helps in determining Let x = the time it takes an NFL running back to run the 40-yard dash and that P(x < 4.23) is =95%.
In Football, every play is made from both yardage benefit or yardage loss that is a calculation of a poor or advantageous number. With every byskip or run that the offense attempts, you need to upload the yardage that they made collectively to apprehend wherein they've superior to at the field.
Here we have that,
NFL= 40 yard run
x = the time it takes an NFL running back
\(mu=4.59 \\sigma= 0.12\)
Using Empirical rule,
\((A)P(X)P(4.35 < x > = P( -2 < Z > = P\\\\(Zthe usage of empirical rule=95%/2 + 95%/2=47.5%+47.5%=95 %\)\
Thus the P(x < 4.23) = 95%.
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PLEASE HELP 20 POINTS AND BRAINLEST PLEASE
- Meredith is
feet shorter than her friend
3
Tucker. If Meredith is 5 feet tall, how tall is
Tucker?
Answer: 8 ft
Step-by-step explanation: Well since Meredith is 5 ft you will add 3 ft because she is 3 ft shorter than Tucker and we are talking about Tucker's height. If you add 3 ft then you would get 8 ft.
Answer:
Tucker is 8 feet tall.
Step-by-step explanation:
if she's 3 feet shorter then just add 3 feet to her normal height.
f (x)=-4x^2+9 find f(-3)
Answer:
\(f(x) = - 4 {x}^{2} + 9 \\ \\ f( - 3) = - 4 ({ - 3}^{2} ) + 9 \\ = -4 (9) + 9 \\ = - 36 + 9 \\ = - 27\)
I hope I helped you^_^
Answer:
-27
Step-by-step explanation:
to find f(-3) we must substitute x to -3 in the f(x)= -4x² +9
f(-3) = -4(-3)² +9
f(-3) = -4*9 +9
f(-3) = -36 +9
f(-3) = -27
I don’t understand this :(
Answer:
3 < S < 17
Step-by-step explanation:
picture the 10 side as the bottom
the 7 side pivoting on the right end of the 10 leg
when it swings toward the left the shortest the third side can be is >3
when it swings to the right the longest the third side can be is <17
Diameter of circle o
Answer:
The diameter of a circle is "2 x radius".
What are a couple of examples of a situation where you feel that statistical guidance should perform well. Further, please tell me why you believe the statistical guidance should do well in this situation
Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.
Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.
In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.
One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.
Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.
Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.
Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.
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Farrah scored 42 points during a recent basketball game. She made only 2-point shots and 3-point shots. In total, Farrah made 19 shots.
Create two unique equations that model the number of 2-point shots, x, and the number of 3-point shots, y, that Farrah made in the game.
Farrah's unique equations is an illustration of system of equations
The unique equations are 2x + 3y = 42 and x + y = 19
How to create the system of unique equations?The given parameters are:
Total shots = 19 shots2-point shots = x3-point shots = yTotal points = 42The total points is represented as:
2x + 3y = 42
The total shots is represented as:
x + y = 19
Hence, the unique equations are 2x + 3y = 42 and x + y = 19
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There is enough grass to feed 10 cows for 8 days.
How long would the same amount of grass feed 2 cows?
Answer:
40 days
Step-by-step explanation:
10 cows multiplied by 8 days equals 80
10 × 8 = 80
that means 80 is the total amount of days if there was only one cow. Divide 80 days by 2 cows and get 40 days for each cow
80 ÷ 2 = 40
This is for a Geometry-H class
Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees
How to Apply the Linear Angles Theorem?Based on the linear angles theorem, we have the following equation which we will use to find the value of y:
3y + 11 + 10y = 180
Add like terms
13y + 11 = 180
Subtract 11 from both sides
13y + 11 - 11 = 180 - 11
13y = 169
13y/13 = 169/13
y = 13
Plug in the value of y
3y + 11 = 3(13) + 11 = 50 degrees
10y = 10(13) = 130 degrees.
Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees.
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Please help with this question
17 - 5 x 4 divided by 2
Answer:
17-5×4 /2
12×4/2
48/2=24.
24 ans.
The answer is 24.
What is Division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
For example, for a sports event, if 30 students need to be divided into groups of 5 students, then how many total groups will be formed? Such problems can be solved easily using the division operation. Here we need to divide 30 by 5. The result will be 30 ÷ 5 = 6. So, there will be 6 groups of 5 students in each. You can verify this value by multiplying 6 and 5, which will give you the original number, 30.
The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.
Given:
17 - 5 x 4 / 2
= 12 * 4/2
=48/2
=24
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