Answer:
x=1,5
Step-by-step explanation:
X^2-6x+5<0
(x-5)(x-1)<0
x=1,5
need help with finding angle
Answer:75
Step-by-step explanation:
Since the total angle in the rhombus adds to 360, we minus the 2 110 and get 140. The 65 degrees is reflected on the other side, so we subtract 65 from 140, leaving 75.
The ale tax on a car that old for $13,500 i $910. At thi rate, how much higher i the tax on a car that ell for $16,500
The tax on a car that sells for $16,500 at the rate of 6.7% is $195.5 higher.
What is the percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
We have,
First car price is = $13,500
and tax of the first car is = $910
Second car price is = $16,500
and tax of the second car is = ?
so,
$13,500 ----- 100,
$910 ----- x
x = 910 * 100 / 13500
x = 6.7
therefore, the rate of tax is 6.7%
so, we will calculate the tax for the second car,
$16,500 ----- 100,
y ----- 6.7
y = 6.7 * 16,500 / 100
y = $1105.5
difference of tax price between two cars = $1105.5 - $910 = $195.5
Hence, the tax on a car that sells for $16,500 at the rate of 6.7% is $195.5 higher.
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Roman numeral representing least 3 digit number is??
The solution is Option 4.
Roman numeral representing the least 3 digit number which is 100 is C
The Roman numeral for 100 = C
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the least 3 digit number be A
Now , the value of A = 100
where 100 is the lease 3 digit number
And , the Roman numeral for 100 is given by C
Therefore , the value of 100 in Roman Numeral is C
Hence , The Roman numeral representing the least 3 digit number which is 100 is C
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Which is equivalent to (3^4n)^1/2
The expression which is equivalent to the given expression as in the task content by virtue of the laws of indices is; ( 3 )^2n.
Which expression is equipped to the given expression?It follows from the task content that the expression which is equivalent to the given expression is to be determined.
Since the given expression is;
( 3^4n ) ^(1/2)
However, it follows from the power of power law of indices that the expression above can be written as follows;
( 3 ) ^ (4n × 1/2)
= ( 3 )^2n
Therefore, the required equivalent expression is; ( 3 )^2n.
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evaluate the sum of 4.2 and 466.99
The sum of decimals 4.2 and 466.99 evaluates to 471.19
How to evaluate the sum of decimals?
Decimals are numbers that consist of two parts namely, a whole number part and a fractional part separated by a decimal point e.g 2.35
Given: 4.2 and 466.99
To evaluate the sum of 4.2 and 466.99, you simply need to add the two numbers. Arrange the numbers as shown below and add as you would add other numbers.
4.2
466.99
.................
471.19
................
Therefore, the sum 4.2 and 466.99 is 471.19
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4-2/3x=2/5 rewright with no fractions
Answer: x= 27/5
Step-by-step explanation:
This equation can rewrite as -2/3x + 4 = 2/5
We separate x by subtracting 4 from both sides
-2/3x = -20/5 +2/5
-2/3x = -18/5
Then we divided both sides by -2/3
Ad we will get x= 27/5
Which equation represents the partial sum of the geometric series? 125 + 25 + 5 + 1.
The correct option which represents sum expressed in sigma notation is A.
What is sigma notation?
A series is represented in an exceedingly compact type, referred to as summation or sigma notation. The greek capital letter, ∑ , is employed to represent the total.
The series 4+8+12+16+20+24 is expressed as ∑n= 4n . The expression is browse because the total of 4n as n goes from one to six . The variable n is termed the index of summation.
The geometric series.
Main body:
∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.
Now, Calculate the partial sum of the geometric series as;
The geometric series = ∑ 125 (1/5)ⁿ⁻¹
Substitute n = 1, 2, 3, 4, we get;
= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹
= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³
= 125 + 25 + 125/25 + 125/125
= 125 + 25 + 5 + 1
Thus, The partial sum of the geometric series is;
⇒ 125 + 25 + 5 + 1
Option A is true.
The correct question is in the figure.
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The F distribution's curve is positively skewed.
T/F
Answer: True
Step-by-step explanation:
-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞
The value of F is always positive or zero. It never has negative values.
serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented .
Serena's company implemented the process of Delayering.
Process of Delayering:To improve operational efficiency, delayering is the act of removing levels of hierarchy between the top and bottom levels of staff.
Delayering often involves the removal of intermediate managers, giving top managers better access to the business as a whole and fostering the necessary openness.
The delayering process has benefits and drawbacks of its own. Although the employer can lower pay costs, the company's ability to make decisions may suffer as a result of top managers' diminished visibility.
Delayering is helpful for reducing bureaucracy and increasing flexibility in the organizational structure. Additionally, it enhances internal communication and participation. Other advantages include increased drive and empowerment.
Given that
Serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented.
By the given observation about Delayering, we can conclude that the company implemented the process of Delayering.
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a very long straight wire carries steady current in the positive direction a closed mathematical curface ahs length along the z direction
According to Fleming's left hand rule, the thumb points along + y direction, so the magnetic force will be directed along + y axis (or in the direction of flow of current.
From relation vector F= qvB [i (–k )] = + qvB(j)
Magnetic force vector F along + y axis.
The Fleming Left-hand Rule According to Fleming's left-hand rule, if we stretch the thumb, middle finger, and index finger of the left hand to make an angle of 90 degrees (perpendicular to each other) and the conductor placed in the magnetic field experiences the magnetic force.
This rule was invented in the late 1800s by John Ambrose Fleming as a simple method of determining the direction of electric current in an electric generator or the direction of motion in an electric motor.
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At a football stadium, 5% of the fans in attendance were teenagers. If there were 340 teenagers at the football stadium, what was the total number of people at the stadium?.
The total number of people at the stadium was 6800 people .
A Percent in mathematics is defined as a number or ratio that is expressed as a fraction of 100 , it is denoted by sign "%" .
For Example : 2% is = 2/100 .
In the question ,
it is given that ,
percent of teenagers fans in the stadium is = 5%
number of teenagers present at the football stadium is = 340
which means 5% represents 340 people ,
So , 1% will be 340/5 = 68 people .
the total percent of people present in the stadium is = 100% ,
multiplying both sides by 100 ,
we get ,
So , 100% = 68 × 100 = 6800 people
Therefore , The total attendance at the football stadium was 6800 people .
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pls help right now I need help
giving brainliest
this is reading btw
Answer:
The answer is A
Step-by-step explanation: I'm so smart
In the triangle, if the measure of angle R S T equals 64 degrees., then what is the measure of angle R P T?
The measure of angle RPT is 122° if the measure of an angle RST is 64°.
What is meant by an angle?In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
Angle can also refer to a rotation or the measurement of an angle. This measurement is the ratio of the length of a circular arc to its radius.
The total of a triangle's angle measurements is 180°. Because ∠RST = 64°, the other two angles must equal to 180-64 = 116°.
The diagram shows that RST is an isosceles triangle. This suggests that the basis angles, SRT and STR, are equivalent, with each equaling 116/2 = 58°.
RP will cut RST, and PT will cut STR.
PTR = 58/2 = 29° and PRT = 58/2 = 29°.
This suggests that the base angles are 29+29 = 58°, leaving RPT at 180-58 = 122°.
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Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. The article "Biomechanics in Augmentation Rhinoplasty" (J. of Med. Engr. and Tech., 2005: 14–17) reported that for a sample of 15 (newly deceased) adults, the mean failure strain (%) was 25.0, and the standard deviation was 3.5. a. Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. b. Predict the strain for a single adult in a way that conveys information about precision and reliability. How does the prediction compare to the estimate calculated in part (a)?
Main answer: mean = 23
supporting answer: Agraphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.
body of the answer: given total number of samples=15
percentage of failure stain=25 percent=0.25
standard deviation=3.5
a. formula used=z=x- mean/standard deviation
p(0.25<x<0)
z=25-mean /3.5
0.6*3.5=25-mean
mean=25-0.6*3.5
=22.9
since A(0.25)=0.6
b. for 15 adults the mean is 23
for one adult =23/15
=1.533
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The mean for the given statistic problem is 23.
The strain for a single adult in a way that conveys information about precision and reliability is 1.533.
What is normal distribution?
A graphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.
Given total number of samples=15
percentage of failure stain=25 percent=0.25
standard deviation=3.5
a. formula used=z=x- mean/standard deviation
p(0.25<x<0)
z=25-mean /3.5
0.6*3.5=25-mean
mean=25-0.6*3.5
=22.9
since A(0.25)=0.6
b. For 15 adults the mean is 23
For one adult =23/15
=1.533
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An electronic manufacturer determine that the profit P (in dollar) obtained by producing x unit of a DVD player and y unit of a DVD recorder i approximated by the model P(x, y) = 8x 10y − (0. 001)(x2 xy y2) − 10, 000. Find the production level that a maximum profit. What i the maximum profit?
The production level that a maximum profit is 186000 and the maximum profit will at the points of (200, -4000) , under the concept of absolute maximum value.
The P(x, y) = 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000, the first partial differentiate of the given equation with respect to x and y,
Px= ( 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000) = 8-0.001(2x-y) ....2
Py= 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000) = 10-0.001(x-2y) ... 3
Considering the above equation to be equal to zero :
=>8-0.001(2x-y) =0 =>0.001(2x-y) =8 .....4
=>10-0.001(x-2y) =0 =>0.001(x-2y) = 10 ...5
Solving the equations 4 and 5 we get the lues of x and y we get are :
x= 2000, and y = -4000 , Now the partial differentiate for the equations 2 ad 3 are with respect to x and y :
pxx(x,y)=-0.002
pyy(x,y)= 0.002
pxy(x,y) =-1
The discriminant of the function wil be at (2000,-4000):
D = 0.002*-0.002 -(-1)^2 =-1.0004 ,here D <0, so the critical values (200, -4000) reaches the maximum value .So the production level will be :
P(2000, -4000) = 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000 = 186000
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О
A
13x + 13
7x+7
60°
с
B
Answer:
x = 9
Step-by-step explanation:
(7x + 7) + 60 = 13x + 13 (exterior angle)
7x + 67 = 13x + 13
6x = 54
x = 9
In a company, 90% of the workers are woman. If 430 people work for the company who aren’t woman, how many workers are there in all? Use pencil and papare. Show two different ways that you can solve this problem
4300 workers are there in all.
What is algebra?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for using these symbols in formulas.
Here, we have
In a company, 90% of the workers are women.
430 people work for the company who aren’t women.
% of male = 10%
Now,
10% of x = 430
10÷100 × x = 430
x = 4300
Hence, 4300 workers are there in all.
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What is the slope of this graph?
Responses
Answer:
slope = -4
Step-by-step explanation:
A (-2,5)
B (0, -3)
slope = (-3-5)/(0-(-2)
-8/2
-4
the hudson valley renegades stadium hold a maximum of 4,505 people. During the height of their popularity, they sold out 219 consecutive games. how many tickets were sold during this time?
Answer:
Step-by-step explanation:
4,505 tickets were sold 219 times.
4,505 x 219
The answer is 986,595
Determine which integer will make the inequality 5x + 12 > 2x + 6 false.
S:{−3}
S:{3}
S:{−1}
S:{1}
Answer:
-3
Step-by-step explanation:
we just fill in x to see if it is true
5(-3)+12>2(-3)+6
-15+12>-6+6
-3>0
false
5(3)+12>2(3)+6
15+12>6+6
27>12
true
5(-1)+12>2(-1)+6
-5+12>-2+6
7>4
true
5(1)+12>2(1)+6
5+12>2+6
17>8
true
Hopes this helps please mark brainliest
A tennis ball is a sphere with a radius of 1.56 inches. A squash ball is also
a sphere with a radius of 0.78 inches. Select all the true statements.
The volume of the tennis ball is exactly 2 times the volume of the squash
ball.
The volume of the tennis ball is approximately 3 times the volume of the
squash ball.
The volume of both the tennis ball and squash ball is proportionate to the
scale factor of the radii.
The scale factor of the volume of the tennis ball to the volume of the
squash ball is approximately 8.
The volume of the tennis ball is 5.067 cubic inches and the volume of the
squash ball is about 0.63 cubic inches.
The two true statements about these are,
The volume of both the tennis ball and squash ball is proportionate to the
the scale factor of the radii.
The scale factor of the volume of the tennis ball to the volume of the
squash ball is approximately 8.
In geometry, a sphere is a three-dimensional solid figure, which is round in shape.
The surface area is 4πr².
The volume is (4/3)πr³.
The diameter is 2×radius of the sphere.
Given, A tennis ball is a sphere with a radius of 1.56 inches. A squash ball is also a sphere with a radius of 0.78 inches.
So, The volume of the tennis ball is (4/3)π(1.56)³ = 16 cubic inches.
The volume of the squash ball is (4/3)π(0.78)³ = 2 cubic inches.
The volume of both the tennis ball and squash ball is proportionate to the
the scale factor of the radii.
The scale factor of the volume of the tennis ball to the volume of the
squash ball is approximately 8.
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PLEASE HELP ME
What is the y-intercept of this line?
I keep getting confused someone please help me and explain it better to me
Answer:
2
Step-by-step explanation:
The y-intercept is the point at which the graph crosses the y-axis.
(I have marked it in blue on the attached graph).
From inspection of the given graph, the line crosses the y-axis at point (0, 2). So the y-intercept is 2.
Please Help me With this ASAP (20 Points)
Answer:
200*1-0.95-0.95+0.9025
200*1-1.9+0.9025
200*0.0025
0.5
Explain how you can model 3 x 2/4
The value of [y] will be 1.
What is a expression? What is a mathematical equation? What is degree of a equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Degree of equation is the highest power of x in the given equationGiven is the following expression -
y = 2 x (2/4)
We can write the value of [y] as -
y = 4/4 = 1
y = 1
Therefore, the value of [y] will be 1.
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The table below gives the number of days it takes for packages to be delivered from an online retailer and the probability associated with each number of days. Number of Days Probability 0.01 0.14 0.46 0.25 0.14 4 5 6 A. Find the expected value of the random variable. B. Find the variance of the random variable. C. Find the standard deviation of the random variable.
The expected value of the random variable is 5.37, the variance of the random variable is 0.8531 and the standard deviation of the random variable is 0.9236.
Given that,
The number of days it takes for packages to arrive from an online shop, together with the probability that it will happen, are provided in the table below.
The table is
Number of days Probability
A-3 0.01
B-4 0.14
C-5 0.46
D-6 0.25
E-7 0.14
We have to find the expected value of the random variable, the variance of the random variable and the standard deviation of the random variable.
We know that,
The random variable's predicted value is now shown.
Expected value = summation (x ×P(x))
= 3×0.01+4×0.14+5×0.46+6×0.25+7×0.14
= 5.37
Now the variance of the random variable
Variance =summation ((x - mean)² ×P(x))
= (3-5.37)² × 0.01 + (4-5.37)² × 0.14 + (5-5.37)² × 0.46 + (6-5.37)² × 0.25 + (7-5.37)² × 0.14
= 0.8531
The random variable's standard deviation is now available.
σ = √(0.8531)
= 0.9236
Therefore, the expected value of the random variable is 5.37, the variance of the random variable is 0.8531 and the standard deviation of the random variable is 0.9236.
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Determine the critical value za2 that corresponds to a 90% confidence interval.
A. 0.82
OB. 1.645
OC. 1.28
D. 1.34
The value of [tex]z_{\alpha /2}[/tex] that corresponds to a 90% confidence interval is
B. 1.645What is confidence level?The confidence level is the likelihood that, if you repeat your experiment or resample the population in the same manner, you will come close to arriving at the same estimate.
The estimate's upper and lower bounds are what make up the confidence interval for a particular level of confidence.
For 90%confidence interval = 0.9
significance level, α = 1 - 0.9 = 0.10
For two tailed test, α/2 = 0.05
using z table
0.0505 = -1.64
0.05 = x
0.0495 = -1.65
solving for x by interpolation
(0.0505 - 0.05) / (0.05 - 0.0495) = (-1.64 - x) / (x - -1.65)
0.0005(x + 1.65) = 0.0005(-1.64 - x)
x + x = -1.64 - 1.65
x = -1.645
from z tables at 90% confidence interval in two tailed test the score is found to be 1.645
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50 Points!!! Are RHS and HL triangles the same? Yes or no? Explain.
Answer:
Yes------------------
RHS and HL refer to same thing.
A right angled triangle has one hypotenuse and two sides.
If the hypotenuse and one side of one triangle is congruent to hypotenuse and one side of another triangle, then the two triangles are congruent.
We know sides of a right triangle are also called the hypotenuse and legs. RHS is also called HL because they both refer to hypotenuse and one side or leg.
On a number line, point d is at -6, and point e is at 8. point f lies between points d and e. if is , where does point f lie on the number line? point f is at on the number line.
The point F lies on 4.5 in the number line.
What is the number line?
The number line is a One dimensional representation of point referring by a number only.
We know that if a point divides a line joining the points at x, y in the number line respectively in m:n ratio then that point lies on
= (my+nx)/(m+n) in the number line.
Here in the given problem that,
Point D lies on -6 in the number lin
Point E lies on 8 in the number line
And F lies between D and E points and DE:EF = 3:1
So the point F clearly divides the staright line DE joining the point D at -6 and E at 8 in 3:1 ratio.
So the point F lies on = (1*(-6)+3*8)/(3+1) = (-6+24)/4 = 18/4 = 4.5
Hence, the point F lies on 4.5 in the number line.
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show that if f is a function from s to t, where s and t are finite sets with |s| > |t|, then there are elements s1 and s2 in s such that f(s1)
T|=|S|⟹ there is bijection F:S→T.
What are bijection function?A bijection is a function between the elements of two sets in mathematics that is also referred to as a one-to-one correspondence, an invertible function, or a bijective function.
In this function, each element of one set is paired with exactly one element of the other set, and each element of the second set is paired with exactly one element of the first set.
No elements are left unpaired. A one-to-one (injective) and onto (surjective) mapping of a set X to a set Y is known as a bijective function, or f: X Y in mathematics.
One-to-one function (an injective function; a bijection from the set X to the set Y has an inverse function from Y to X) should not be confused with one-to-one correspondence. X and Y must be finite if.
According to our question-
The function f:ST |S||T| has an injective and not a surjective nature.
Assume an injective function exists: g:TS|T||S|. |T|=|S|
(this follow from the Cantor-Bernstein theorem).
|T|=|S|⟹ F:S:T has a bijection.
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33. Let M2x2 be the vector space of all 2x 2 matrices, and define T : M2x2 → Mo by T(A) A + AT, where a. Show that T is a linear transformation. b. Let B be any element of M2 c. Show that the range of T is the set of B in M2x2 with the d. Describe the kemel of T such that BT B. Find an A in M2xz such that T(A) B property that B B
a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.
b) T(A)=B, if B be any element of M₂
c) Range of T=={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
What is meant by matrix?A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.
A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.
Define T: [tex]M_{ 2*2}[/tex] ⇒ [tex]M_{ 2*2}[/tex] by T(A)=A+[tex]A^{T}[/tex]
a) Let T is a linear transformation
Consider K₁A₁+K₂A₂ ∈ [tex]M_{ 2*2}[/tex]
T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)[tex]( K₁A₁+K₂A₂)^{T}[/tex]
= K₁T(A₁)+K₂T(A₂)
T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)
Therefore, T is a linear transformation.
b) Let B∈ [tex]M_{ 2*2}[/tex] such that [tex]B^{T}[/tex]=B
Therefore, B is a symmetric matrix.
Let A=(1/2)B∈ [tex]M_{ 2*2}[/tex]
T(A)=A+[tex]A^{T}[/tex]
=(1/2)B+[tex](1/2B)^{T}[/tex]
T(A)=B
A=(1/2)B such that T(A)=B
c) Range of T is the set of B in [tex]M_{ 2*2}[/tex], [tex]B^{T}[/tex]=B
T( [tex]M_{ 2*2}[/tex])={B∈ [tex]M_{ 2*2}[/tex]/ [tex]B^{T}[/tex]=B}
d) Kernel of T={A∈ [tex]M_{ 2*2}[/tex]/T(A)=0)
={A∈ [tex]M_{ 2*2}[/tex]/A+[tex]A^{T}[/tex]=0}
={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
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Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.
T is a linear transformation, therefore demonstrate it.
b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.
c) Explain the T kernel.
a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.
Additions: T(A+B) = A+B+A+B T = A+B+A T +B
T = (A + A T ) + (B + B T ) = T(A) + T (B).
Scalar multiplication
T(c · A) = (c · A)
T = c · A
T = c · T(A) (A).
b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.
T = \s1 \s2 \sB + \s1 \s2 \sB = B.
c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.
If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.
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