To write its equation in the form y is a(xh)2+k and then determine the value of the coefficient a.
How do you solve a parabola equation?The equation of a parabola can be found using the vertex form. If we can read the coordinates (h,k) from the graph, we may use those coordinates to write its equation in the form y=a(xh)2+k and then determine the value of the coefficient a.Assuming the given function, h(t) = 5 - 3 (t -2) h = 5 - 3 is a new equation to use when rewriting the function (t - 2) 2 H - 5 = -3 is the result of deducting 5 from both sides (t - 2) 2 (h - 5) /3 = -3(t - 2)2/3 (h - 5) /3 = (t - 2)2 is obtained by dividing both sides of the equation by (-3).To learn more about Parabola refer to:
https://brainly.com/question/25651698
#SPJ1
Suppose 3 friends each pay for a pair of socks and one 30-minutes jump. The jump costs $ 15.50 per person. If they spend a total of $ 60, then the equation 3(15.50 + x) = 60 can be used to find the cost x of the socks.
Answer:
Step-by-step explanation:
3(15.50 + x) = 60
46.5 + 3x = 60
3x = 60-46.5
x = 13.5/3
x = 4.5 or $4.50
What number is 25% of 275?
Answer: 68.75
Step-by-step explanation:
25 percent equals 0.25
Multiply the decimal by the number to find the percent
0.25*275= 68.75
Answer: 68.75
Step-by-step explanation:
25%/100% = 0.25
275 times 0.25 = 68.75
explain how to show that the table of values below represents the equation y = 2/3x + 1
Answer: plug -15 in for x and if we get get -9 out because 2/3 of -15 is -10 and -10+1 =-9
we can do the same for the rest of these and we see that they'll come out to the y value
2x + 4
6x - 3y = -12
Is this no solution or infinite
Find the measure of the missing angle?
The values of the missing angles in the parallelograms are as follows;
108°95°139°75°19°30°29°42°How can a parallelogram be defined?A parallelogram can be defined as a quadrilateral that has a pair of opposite parallel sides that have the same lengths.
Let x represent the missing angle in the figures in the question;
1) The adjacent angles of a parallelogram are supplementary
The angle x which is the adjacent angle to the angle 72° is a supplementary angle to the angle 72° in a parallelogram KLMN, therefore, we get;
x + 72 = 180, definition of supplementary angles
x = 180 - 72 = 108, by subtraction property
The missing angle is 108°2) The missing angle x is the adjacent angle to the 95° angle in the parallelogram ABCD
Therefore; x + 95 = 180
x = 180 - 95 = 85
The missing angle is 95°3) The missing angle is the opposite angle to the 139° angle
Opposite angles of a parallelogram are congruent
Quadrilateral TUVW is a parallelogram, therefore; x = ∠W = ∠T = 139°
The missing angle is 139°4) The missing angle is an adjacent angle to the 105° in the parallelogram KLMN
Therefore, x + 105° = 180°
x = 180° - 105° = 75°
The missing angle is 75°5) The missing angle, x, is the alternate interior angle to the 19° angle in the diagonal of the parallelogram BCDE
Alternate interior angles between parallel sides CD and BE are congruent.
Therefore, the missing angle is congruent to the 19° angle
The missing angle x = 19° (definition of congruency)6) Adding the missing angle and the 50° together, we get;
x + 50° = m∠E
∠E is the adjacent angle to the 95° angle, therefore;
∠E + 95° = 180°
∠E = 180° - 95° = 85°
∠E = 85°
Therefore; ? + 50° = 85°
x = 85° - 55° = 30°
The missing angle, x = 30°7) The missing angle and the 29° angle are alternate interior angles
Alternate interior angles formed between parallel lines and their common transversal are congruent, therefore;
The missing angle is 29°8) The sum of the missing angle and the 28° angle is the angle ∠F
∠F and the 110° angle are adjacent angles in the parallelogram DEFG, therefore;
∠F + 110° = 180°
∠F = 180° - 110° = 70°
∠F = 70°
x + 28° = 70°
x = 70° - 28° = 42°
The missing angle is 42°Learn more about parallelograms here:
https://brainly.com/question/27296302
#SPJ1
A used car bought for $10,230 was sold for $800 after 5 years of use. What was the car's rate of depreciation, to the nearest tenth percent? PLEASE SHOW WORK
Answer:
$9430 / $10,230 * 100% = 92.4%
Step-by-step explanation:
To find the car's rate of depreciation, we need to first calculate the total amount of depreciation that occurred over the 5 years of use. This can be done by subtracting the sale price of the car from its original price:
$10,230 - $800 = $<<10230-800=9430>>9430
Next, we need to divide the total amount of depreciation by the original price of the car and multiply by 100% to express the result as a percentage:
Therefore, the car's rate of depreciation was 92.4%, to the nearest tenth percent. This means that the value of the car declined by 92.4% over the 5 years of use.
Which proportion could be used to prove that HJ is parallels to KL? multiple choice
Answer:
fourth option
Step-by-step explanation:
to prove that HJ is parallel to KL , then KL divides the sides HG and JG proportionally , that is
[tex]\frac{GK}{HK}[/tex] = [tex]\frac{GL}{LJ}[/tex]
Emma and Jane were playing soccer in their backyard, and Emma kicked the ball to
Jane. The curve of the ball's path can be represented by
d=-16t² + 32t + 9, where d is the distance of the ball from Emma and t is
the time (in seconds). Find how long it takes the ball to reach Jane.
4
It takes 4 seconds for the ball to reach Jane.
It takes 2.25 seconds for the ball to reach Jane.
It could take 2.25 seconds or 0.25 seconds.
It could take 4 seconds or 3.25 seconds.
it takes 2.25 seconds
oh, and it's 18 seconds for the next question assuming we had the same test.
1. Find the equation of the straight line that passes through the points (0, -1) and (-1,0).
2. For this problem, please use the point-gradient form of the equation that passes through
the points (2, -4) and has gradient/slope 3.
3. Find the equation of the straight line that is parallel to the line y = x-2 and goes through
the point (0,1). Use Desmos Graphing Calculator to check your answer.
Answer:
1) y = -x -1
2) y + 4 = 3( x -2)
3) y = x + 1
Step-by-step explanation:
1)
The slope is the change in y over the change in x. The y values from the points given is 0 and -1. The x values from the points given is -1 and o
Slope: [tex]\frac{o - -1}{-1 - o}[/tex] = [tex]\frac{1}{-1}[/tex] = -1
y -intercept
y = mx + b Use the point (0,-1) and the slope to solve for b
y = -1
m = -1
x = 0
y = mx + b
-1 = -1(0) + b
-1 = 0 + b
-1 = b This is the y intercept.
y = mx + b
y = =x -1
2)
point-gradient form is
y -y = m (x-x)
y - -4 = 3 (x -2)
y + 4 = 3( x - 2)
3)
Parallel lines have the same slope.
slope is 1. Use this and the point (0,1) to solve for b
y = mx + b
1 = 1(0) + b
1 = 0 + b
1 = b
y = x + 1
Do anybody know the answer to this ?
Answer:
Below
Step-by-step explanation:
(5x+6) / 2 = 3 - ( 4x+12) expand R side
(5x+6) / 2 = -4x - 9 answer B now multiply both sides by 2
5x + 6 = -8x - 18 answer E
and finally
(5x+6) / 2 = 3 - (4x+12) expand L side
5/2 x + 3 = 3 - (4x+12) answer C
there are 8 students in the class. two of them should be selected as the best students in the class. how many different ways can this be done?
Since, there are 08 students in the class, among 02 of them should be selected as the best students in the class. In 28 different ways this can be done.
Use the formula of combinations given as ⁿ[tex]C_{r}[/tex] to find the numbers of possible ways to select r things out of a total of n things. Let n be the total number of students in the class and r as the number of students required to be selected as best students in the class. Now, use the formula
ⁿ[tex]C_{r}[/tex] = [tex]\frac{r!}{(n- r)!}[/tex] to simplify the expression .
Given that a class has 8 students in which 2 students will be selected for a best students in the class. .
Therefore, n = 08 and r = 02, substituting these values in the formula we get,
Number of possible ways of selection = ⁿ [tex]C_{r}[/tex] = ⁸C₂
Now,
Number of possible ways of selection = [tex]\frac{8!}{2! ( 8 - 2)!}[/tex]
Or, Number of possible ways of selection = [tex]\frac{8!}{2! 6!}[/tex]
Solving further,
Number of possible ways of selection = 8 × 7× 6!/ 2× 1 ×6!
Number of possible ways of selection = 4 × 7 = 28
Hence, the total number of ways to select the required number of students is 28.
Learn more about Combinations:
https://brainly.com/question/28042664
#SPJ4
PLEASE PLEASE PLSSS HELP
Step-by-step explanation:
This is the answer for 1., but the steps are the same for the rest of the questions, so I am sure you will be able to get the rest!
Slope is the value in front of the X and basically tells us how far up or down the line moves in 1 square across the line. It goes up if it is positive, and down if it is negative.
Y-intercepts can be found by plugging in 0 for x.
For question 1:
y=[tex]\frac{3}{5}[/tex](0)+3=3 so the y-intercept is 3 up from 0.
Then, we can use our slope which is a fraction, the top can be thought of as rise and the bottom is run. This means each point will be 3 up and 5 to the right.
Answer:
2/ Points at (0,-5), ( 1,-4), (2,-3)
Step-by-step explanation:
The slope is rise/run
The slope is x, which mean = 1
If you can please give me a Brainliest, thank you!
I'LL MARK BRAINLIEST PLS HELP
(look at both atachments it two homework questions)
Answer:
You multiple the 1/4 into the inside which 1/4 x 4 is
Step-by-step explanation:
sorry
Do you think the following statement is true or false? "An atom is the smallest unit of matter. Atoms are the basic unit of an element, that are composed of protons, neutrons, and electrons."
The smallest unit of matter is an atom. The fundamental building block of an element is an atom, which is made up of protons, neutrons, and electrons. This statement is true.
An atom is what?An atom is made up of a nucleus and one or more electrons that are bound to the nucleus. The nucleus is made up of one or more protons, a significant number of neutrons, and other particles. Only the most common form of hydrogen lacks neutrons.
An atom, which is the smallest part of a material, retains all of its properties. A molecule is made up of protons, neutrons, and electrons, which are the building components of matter. Protons and neutrons, which are the only particles in an atom that contribute to its atomic mass, are found in the nucleus of each atom. These early 20th-century discoveries of particles that a nuclide itself and chemical components are explained by contemporary atomic theory.
To know more about atom click:
brainly.com/question/1566330
#SPJ1
the perimeters of a rectangle and an equilateral triangle are equal. what is the equation for this scenario?rectangle’s perimeter:equilateral triangle’s perimeter:scenario’s equation:
The total length of a boundary defines the perimeter of an equilateral triangle.
What is the Perimeter of an Equilateral Triangle?The total of the three sides makes up the perimeter of an equilateral triangle. The following fundamental characteristics define a triangle as being equilateral:The three sides are equal.There is a 60° angle between all three.The sides of the triangle PQ = QR = RP in the following illustration have equal lengths. The triangle's angles are also equal in addition to this. An equilateral triangle is what this is. An equilateral triangle's perimeter is now equal to 3a, where a denotes one of the triangle's sides.Perimeter of Equilateral Triangle Formula : P = 3a, where 'a' stands for one of the triangle's sides, is a simple formula for calculating an equilateral triangle's perimeter. An equilateral triangle has three equal sides, hence the sum is equal to three equal sides, or 3a.Additional equilateral triangle formulas include the following: When we need to determine a triangle's height from its sides, we can apply the following formula: Equilateral Triangle Height = (3a)/2The semi-perimeter of an equilateral triangle must be determined in a few situations. Half of a perimeter, or semi-perimeter, is equal to 3a/2, which is derived using the formula semi-perimeter = (a + a + a)/2.To Learn more About equilateral triangle refer to:
https://brainly.com/question/15294703
#SPJ4
Answer:
The equation for scenario is 2(l + b) = 3a
The rectangle’s perimeter is 2(l + b)
The equilateral triangle’s perimeter is 3a
What is perimeter ?
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
According to question
The perimeters of a rectangle and an equilateral triangle are equal.
So
let,
The length and breadth of the rectangle are l & b
And
Side of an equilateral triangle is a
Now
The rectangle’s perimeter = 2(length + breadth)
⇒ 2(l + b)
And
The equilateral triangle’s perimeter = Sum of All sides
⇒ a + a + a
⇒ 3a
Therefore
perimeters of a rectangle = perimeters an equilateral triangle
2(l + b) = 3a
hence, 2(l + b) = 3a is the equation which show that perimeter of rectangle and equilateral triangle is equal.
To Learn more About Perimeter, Check out :
https://brainly.com/question/6465134
#SPJ4
ray il bisects angle hij. if m∠hil = (6x − 7)° and m∠jil = (5x 4)°, what is m∠jil? 118° 59° 44° 11°
The measure of angle JIL is 59°.
We are given that;
Ray IL bisects angle HIJ, we know that the measure of angle HIL is equal to the measure of angle JIL.
Using the given expressions for these angles, we can write:
m∠HIL = m∠JIL
(6x − 7)° = (5x + 4)°
To solve for x, we can subtract 5x from both sides and add 7 to both sides:
x − 7 = 4
x = 11
Now that we have the value of x, we can plug it into the expression for m∠JIL and simplify:
m∠JIL = (5x + 4)°
m∠JIL = (5 × 11 + 4)°
m∠JIL = (55 + 4)°
m∠JIL = 59°
Therefore, by the angle the answer will be 59°.
Learn more about angle;
https://brainly.com/question/14164971
#SPJ12
C Laurel is moving and will have a
new mortgage of $2500. What
must Laurel increase her net
income to in order to keep her
housing cost at 25%?
Laurel must increase her net income to $10,000 in order to keep her housing costs at 25%.
To determine how much Laurel must increase her net income in order to keep her housing costs at 25%, we need to know the following information:
The amount of Laurel's new mortgage, which is $2500
The percentage of Laurel's net income that she wants to use for housing costs, which is 25%
To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:
Net income = Mortgage / (Housing cost percentage)
Substituting the values from the problem, we get:
Net income = $2500 / (25/100)
Net income = $2500 / 0.25
Net income = $10,000
To learn more about income:
https://brainly.com/question/25745683
#SPJ4
Laurel must increase her net income to $10,000 to keep her housing costs at 25%.
How to determine how much Laurel must increase her net income?The amount of Laurel's new mortgage is $2500
The percentage of Laurel's net income that she wants to use for housing costs, which is 25%
To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:
Net income = Mortgage / (Housing cost percentage)
Substituting the values from the problem, we get:
Net income = $2500 / (25/100)
Net income = $2500 / 0.25
Net income = $10,000
Learn more about income:
brainly.com/question/25745683
#SPJ1
(02.04 MC)
Write the equation of the line that passes through the points (3, 6) and (5, 18) using function
notation.
Of(x) = 2x + 12
O f(x) = 6x - 12
Oy= 2x + 12
O y = 6x-12
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{18}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{18}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ 12 }{ 2 } \implies 6[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 6}(x-\stackrel{x_1}{3}) \\\\\\ y-6=6x-18\implies {\Large \begin{array}{llll} y=6x-12 \end{array}}[/tex]
Which congruence theorem can be used to prove △ bda ≅ △ bdc? Hl
ssa
aas
sss
The congruence theorem that can be used to prove △ bda ≅ △ bdc is D. SSS.
What is SSS congruence?Side-Side-Side, or SSS, is a type of triangle congruence rule that states that two triangles are congruent if their three sides are equal to their respective three sides of another triangle. When the measurements of the corresponding sides and angles are identical, two or more triangles are said to be congruent.
Given that ΔBDA is similar to ΔBDC and:
AD ≡ DC
AB ≡ BC
BD ≡ BD (shared side)
Then the best postulate to use is the side-side-side (SSS) postulate. The correct option is D.
Learn more about triangles on;
https://brainly.com/question/17335144
#SPJ1
There are 12 months in a year. How many months are there in 8 years? (Show your work.)
Answer:
1 year ---->12 months
8 years ---> 12×8 =96 months
so there will be 96 months in a 8 years .
Answer:
can you connect me private?
What is 8/15 simplyfied??
Answer:
8/15
Step-by-step explanation:
There is no GCF (greatest common factor) in this. These numbers are relatively prime.
Which of the following are quadratic equations in x ? x2-x+3=0
The given quadratic equations are:
x^2 - x + 3 = 02x^2 +5/2x - √3 = 0 1/3x^2 + 1/5x - 2 = 0Is in fact a quadratic equation.
How to identify a quadratic equation?The options are:
(i) x^2 - x + 3 = 0
(ii) 2x^2 +5/2x - √3 = 0
(iii) √2x^2 + 7x + 5√2
(iv) 1/3x^2 + 1/5x - 2 = 0
(v) x^2 - 3x - √x + 4 = 0
(vi) x - 6/x = 3
A general quadratic equation is a polynomial of degree 2:
a*x² + b*x + c = y
Where the variable is x, and we can see that the maximum exponent on a power of x is 2.
In this case, we have the first equation:
x^2 - x + 3 = 0
You can see that we have a polynomial of degree 2 (the maximum exponent is 2 and we only have positive integers as exponents) then this is in did a quadratic equation.
The other quadratics are:
2x^2 +5/2x - √3 = 0 1/3x^2 + 1/5x - 2 = 0Where you also can see polynomials of degree 2.
(the third option also seems to be quadratic, but it is not an equation)
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
The complete question is:
Which of the following are quadratic equation in x?
The options are:
(i) x^2 - x + 3 = 0
(ii) 2x^2 +5/2x - √3 = 0
(iii) √2x^2 + 7x + 5√2
(iv) 1/3x^2 + 1/5x - 2 = 0
(v) x^2 - 3x - √x + 4 = 0
(vi) x - 6/x = 3
Find the indicated critical value. z 0.03
The indicated critical value for significance level of 0.03 should be approximately 1.88.
In standard normal distribution, the critical value is the mark or point that seperates region of acceptance and rejection. In one-tailed test having significance level of 0.03, it will indicate the probability of getting a value that will be more than or equal to 0.03.
The calculation of critical value can be done in many ways. Either look through the standard table or use calculator for the same. The latter is done by using inverse function on standard normal cumulative distribution function. It should be around 1.88.
Learn more about critical value -
https://brainly.com/question/14040224
#SPJ4
Points A(3, 8) and B(–4, 8) are located on a coordinate plane. Graph the pair of points. Then find the distance between them. Use numbers and words to explain your answer.
Answer:
Step-by-step explanation:
This distance can be calculated by using the distance formula. The distance between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) can be defined as d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .Jun 2, 2017
suppose u is a uniform(0, 1) random variable. consider f-1(u), where f-1(.) is the inverse of the cdf of the random variable x. so, f-1(u) is a transformation of u. assume f-1(.) is strictly increasing. what is the distribution of f-1(u)?
The distribution of the given function is a uniform distribution.
A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).
Learn more about Distribution at:
brainly.com/question/28021875
#SPJ4
(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
To know more about Hypothesis here.
https://brainly.com/question/29576929
#SPJ4
Step 1: Look at the first part of the word problem.
Cadence has a collection of 52 dolls that all have either blue eyes or green eyes.
Let b represent the dolls with blue eyes.
Let g represent the dolls with green eyes.
Write an equation for this part of the word problem.
The equation part of the given word problem is x+y=52 and y=x+16.
a) Let x = number of green eyed dolls
And let y = number of blue-eyed dolls
Now we are told the following:
x+y=52 → eq1
and
y=x+16 → eq2
b) substitute y = x+16 from eq2 into eq1:
x+x+16 = 52 subtract 16 from each side
x+x+16-16 = 52-16 collect like terms
2x = 36 divide each side by 2
x = 18 → number of green-eyed dolls
substitute x = 18 into equation2
y = 18+16 =34 → number of blue-eyed dolls
18+34=52
52=52
and
18+16=34
34=34
THIS PROBLEM CAN ALSO BE SOLVED USING ONE EQUATION AND ONE UNKNOWN:
Let x = Number of green-eyed dolls
Then 52-x = Number of blue-eyed dolls
Now we are told that:
x+16 = 52-x add x to and subtract 16 from each side
x+x+16-16 = 52-16-x+x collect like terms
2x=36 → same as before
x = 18.
Hence, the equation part of the given word problem is x+y=52 and
y=x+16.
To know more about equation check the below link:
https://brainly.com/question/26310043
#SPJ1
I need help with this problem
The surface area of the prism is 166 mm² in the given figure.
The total surface area of the given prism can be expressed in terms of length (l), width (w), and height of cuboid (h) as:
Surface area of prism = 2 (lw + wh + lh) ....(i)
As per the given figure, we have
length (l) = 5 mm
width (w) = 4 mm
height (h) = 7 mm
Substitute the values in the formula, and solve
Surface area of prism = 2 (5 x 4 + 4 x 7 + 7 x 5)
Surface area of prism = 2 (20 + 28 + 35)
Surface area of prism = 2 (83)
Surface area of prism = 166 mm²
Thus, the surface area of the prism is 166 mm² in the given figure.
To learn more about the surface area of the prism click here:
https://brainly.com/question/28016184
#SPJ1
In it's first four games, a netball team scores an average of 31 points per game. After the fifth game, the average for the first five games is 30. How many points did the team score in the fifth game?
26 points are scored in the fifth game.
What is Average?The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given,
First four games, a netball team scores an average of 31 points per game.
x/4=31
Let x represents four games
x=124
After the fifth game, the average for the first five games is 30
y/5=30
Let y represents five games
y=150
We need to find the number of points scored in fifth game.
x-y
124-150
26
Hence, 26 points are scored in the fifth game.
To learn more on Average click:
brainly.com/question/24057012
#SPJ1
An electrician needs to buy 7 1/2 feet of electrical wire. There are 1 1/2 feet of wire on each spool. How many spools of wire should the electrician buy?
Answer:
5
Step-by-step explanation:
[tex]\frac{7.5}{1.5}[/tex] = 5
