Points E, D, and H are the midpoints of the sides of ΔTUV. UV=110, TV=140, and HD=110. Find HE.
The required value of HE is 55 units.
What is proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.
Now it is given that Points E, D, and H are the midpoints of the sides of ΔTUV.
UV = 110,
TV = 140, and
HD = 110
Since the triangles are similar there exists correspondance in the angles, so in order to solve this you just have to clear the function:
HD/HE = TV/(TV/2)
Put the values we get,
110/HE = 140 / 70
⇒ HE = 110*70/140
⇒ HE = 55 units
Thus, the required value of HE is 55 units.
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Given the graph of a radical function, which statement is correct?
Radical function going from the point negative 3 comma negative 2 up to the right through the point 1 comma 0
R colon open bracket y is an element of all real numbers close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 2 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to 1 close bracket
Greetings from Brasil...
The range will be the region of the Y axis comprised by the function. Looking at the graph, we conclude that:
Range = {Y ∈ ℝ/Y ≥ - 2}About 1% of the population has a particular genetic mutation. 137 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 137.
Find the standard deviation for the number of people with the genetic mutation in such groups of 137.
(Round to the nearest 2 decimal places.)
Using the binomial distribution, the mean and the standard deviation of the amounts are given as follows:
Mean: 1.37.Standard deviation: 1.16.What are the mean and the standard deviation of the binomial distribution?The binomial distribution gives the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The mean is given by the following rule:
E(x) = np.
The standard deviation is given by the following rule:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In the context of this problem, the parameters are found as follows:
p = 0.01, as about 1% of the population has a particular genetic mutation.n = 137, as 137 people are randomly selected.Hence the mean and the standard deviation are, respectively, given by:
E(x) = np = 137 x 0.01 = 1.37.[tex]\sqrt{V(X)} = \sqrt{137(0.01)(0.99)} = 1.16[/tex]More can be learned about the binomial distribution at https://brainly.com/question/24863377
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please hurry
Multiply these polynomials using the FOIL method.
[tex]( m^{\frac{1}{3} } + y^{-\frac{1}{2} } )
( m^{\frac{1}{3} } + y^{-\frac{1}{2} } )[/tex]
Foil Method we multiply first terms, then outside terms, then inside terms, then last terms, and then combine like terms for our answer.(m^1/3+y^-1/2)(m^1/3+y^-1/2) is m^2/3+2m^1/3.y^-1/2+y^-1..
What is Multiplication?
Multiplication is a method of finding the product of two or more numbers.
In foil Method we multiply first terms, then outside terms, then inside terms, then last terms, and then combine like terms for your answer.
(m^1/3+y^-1/2)(m^1/3+y^-1/2)
=m^1/3.m^1/3+m^1/3.y^-1/2+m^1/3.y^-1/2+y^-1/2.y^-1/2
When bases are same then the power will be added.
=m^2/3+2m^1/3.y^-1/2+y^-1.
Therefore m^2/3+2m^1/3.y^-1/2+y^-1 is the required solution of polynomial (m^1/3+y^-1/2)(m^1/3+y^-1/2).
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If f(x) = 4x-2, what does f(-2) equal?
Find the LCM of 32, 40, 36?
Answer:
The least common multiple of 40, 36 and 32 is 1440.
Step-by-step explanation:
Greetings !
Definition :-The LCM of a, b
Is the smallest positive number that is divisible by both a and b.
prime factorization of 32:
[tex]2.2.2.2.2[/tex]
prime factorization of 40:
[tex]2.2.2.5[/tex]
prime factorization of 36:
[tex]2.2.3.3[/tex]
Compute a number comprised of factors that appear in at least one of the following
32,40,36
[tex] = 2.2.2.2.2.5.3.3[/tex]
Multiply the numbers 2.2.2.2.2.5.3.3 = 1440
[tex] = 1440[/tex]
Hope it helps !!!
7. You take a history test that has 100 regular points and 8 bonus points. You get a score of 91 which includes 4 bonus points. Let x represent the score you would have had without the bonus points. Which equation represents this situation? . x + 91 = 100 b. ×+4=91 C. x+4=108
Answer:
B
Step-by-step explanation:
91 - 4 is 87
87 + 4 = 91
I am not entirely sure what to do in this question but if u have a time limit then I would put the answer if not just wait for another answer.
2. Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
The expression of each person's contribution is:
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
What is a fraction?A fraction is used to represent the portion/part of the whole thing.
We have,
The total amount from each person:
= 18 + 18.60 +18.90 + 17.40
= $72.90
We can write the amount that each person will pay using fractions as:
Fraction = Total bill of individual share / Total bill all together
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
Thus the expression of each person's contribution is:
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
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Please Help will give brainiest
For the point P(-20,7) and Q(-13,12), find the distance d(P,Q) and the
coordinates of the midpoint M of the segment PQ.
Distance
[tex]d(P,Q)=\sqrt{(-20-(-13))^2+(7-12)^2} \\ \\ =\sqrt{49+25} \\ \\ =\boxed{\sqrt{74}}[/tex]
Midpoint
[tex]M=\left(\frac{-20-13}{2}, \frac{7+12}{2} \right)=\boxed{\left(-\frac{33}{2}, \frac{19}{2} \right)}[/tex]
Mayerlin needs to order some new supplies for the restaurant where she works. The restaurant needs at least 623 forks. There are currently 223 forks. If each set on sale contains 8 forks, write and solve an inequality which can be used to determine , the number of sets of forks Mayerlin could buy for the restaurant to have enough forks.
Answer:
≥ 50 sets
Step-by-step explanation:
Mayerlin wants to know how many sets of 8 forks she needs to buy to increase her supply of forks from 223 to at least 623.
SetupThe number of additional forks will be the number of sets (s) times 8 forks each. Mayerlin wants at least 623.
223 +8s ≥ 623 . . . . . . the inequality
SolutionSubtract 223:
8s ≥ 400
s ≥ 50 . . . . . . divide by 8
Mayerlin could by at least 50 sets of forks to have enough.
Write the equation of the line that passes through the points (7,-4) and (5,-2).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Step-by-step explanation:
-2-(-4)= 2
5-7=-2
2/-2= -1
M= (-1)
y=mx+b
-2=(-1)(5)+b
-2=(-5)+b
+5. +5
3=B
Y= -1x+3
The perimeter of the parallelogram below is 32.2. What equation would you set up to solve for x? What is the value of x?
The value of x from the given figure is 8/3
Perimeter of a parallelogramThe sum of all the ides of the parallelogram is perimeter. According to the given figure;
2(3x-8)+2(16) = 32.2
Expand to have:
6x-16 + 32 = 32.2
6x + 16 = 32.2
Subtract 16 from both sides
6x = 16
x = 16/6
x = 8/3
Hence the value of x from the given figure is 8/3
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If g(x) = 1 − x3, find g'(0)
Answer:
Step-by-step explanation:
we just have to substitute 0 in place of x
1-(0)³, 0³ is still 0, so we're left with 1-0=1
mark me brainliest of it helped
HELP! I need this done now!
John ran 3 miles in 25.5 minutes. The equation y = 8.5x can be used to represent this situation.
What is the constant of proportionality? Express your answer as a decimal.
Answer:
.................................................................................................................................
1.Rahul makes a decorative book mark of dimensions 2
inches x 4 inches. Find the area of the bookmark.
The area of rectangular decorative bookmark prepared by Rahul is 8 square inches
Rahul is making a decorative bookmark whose dimensions are 2 inches× 4 inches which clearly states that the decorative bookmark prepared by Rahul is in the shape of a rectangle whose length is 4 inches and breath is 2 inches
In this question we are told to find out the area of rectangular bookmark So, we have to use the formula of area of rectangle
area of rectangle = length of rectangle × breath of rectangle
= 4 inches × 2 inches
= 8 inches²
Hence the area of rectangular decorative bookmark prepared by Rahul is 8 square inches
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Write the following in algebraic language. x is 0.28 of y.
The mathematical statement in algebraic language is x = 0.28y
How to write the mathematical statement in algebraic language?The mathematical statement is given as
x is 0.28 of y
In mathematics, "of" means multiplication
So, we have
x is 0.28 of y => x is 0.28 * y
Evaluate the product
x is 0.28 of y => x is 0.28y
In mathematics, "is" means equation
So, we have
x is 0.28 of y => x = 0.28y
Hence, the mathematical statement in algebraic language is x = 0.28y
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Dexter Technology maintains its records using cash-basis accounting. Consider the following:
During the year, the company received cash from customers, $45,000, and paid cash for salaries, $24,500.
At the beginning of the year, customers owe Dexter $1,200. By the end of the year, customers owe $7,000.
At the beginning of the year, Dexter owes salaries of $6,000. At the end of the year, Dexter owes salaries of $3,500.
Based on the records of Dexter Technology, the net income using the cash-basis is $20,500 and the net income using accrual basis is $28,800.
What is the net income?Using the cash basis, the net income will be only for transactions that cash has either been received for or paid for:
= Cash from customers - Cash paid for salaries
= 45,000 - 24,500
= $20,500
The net income using accrual caters for the expenses and revenue that happened in a year regardless of when they are paid:
= Revenue - Salaries expense
= (45,000 - 1,200 + 7,000) - (24,500 - 6,000 + 3,500)
= $28,800
Question is:
Determine cash-basis net income and accrual-basis net income for the year.
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If 13 is subtracted from a number, the result is -4. Find the number.
Find the solution of this system of equations
-2x - by =
- 16
4x - 6V
=
-58
The values x and y are found as (x = -7) and (y = 5).
What is defined as the system of equations?When there is more than one unidentified and enough content to set up equations within these unknowns, systems of equations are being used to solve applications. In general, we require sufficient information to established n equations in n unknowns if there are n unknowns.One solution exists for a set of 2 or more equations usually contains a set of common variables. When there is no solution to a system of equations with different slopes.The two given equation are-
-2x - 6y = -16 .......equation 1
4x - 6y = -58 .......equation 2
Multiply equation 1 with -1.
-(-2x - 6y = -16)
Solve by eliminations; subtract equation 2 from 1.
2x + 6y = 16
4x - 6y = -58
Further simplifying;
6x = -42
divide both sides by six
x =- 7
Put the value of x equation 1.
2(-7) + 6y = 16
-14 + 6y = 16
6y = 30
y = 5
Thus the values of the variables are found as (x = -7) and (y = 5).
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The correct question is-
Find the solution of this system of equations.
-2x - 6y = -16
4x - 6y = -58
f(x)= -x^2 + 4x +5 and g(x)= -f(x) + k. find the values of k so that g(x) = 0 has no real roots
According to the given quadratic equation the values of k = -1.
In mathematics, what is quadratic equation?A quadratic equation seems to be a second-order polynomials equation with a single variable x ax2+bx+c=0. Ta he fundamental theorem of algebra assures that it has at least one solution because it is second-order polynomial equation.
According to the given data:g(x)= -f(x) + k. given
Putting the value of f(x).
g(x)= - -x^2 + 4x +5 + k
= x^2 - 4x - 5 + k
= 0
When g(x) = 0 has no real roots, Δ < 0 a quadratic equation of one variable has no real roots.
So,
16 - 4(5 + k) = 0
16 - 20 -4k < 0
-4 -4K < 0
4K> -4
k>-1
According to the given quadratic equation the values of k = -1.
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a pound of chocolate is 6.25. How much of a pound would one dollar buy
Answer:
0.16 of a pound for one dollar
Step-by-step explanation:
all you have to do is 1 ÷ 6.25
[tex]\begin{array}{ccll} \stackrel{chocolate}{lbs}&\$\\ \cline{1-2} 1 & 6.25\\ x& 1 \end{array} \implies \cfrac{1}{x}~~=~~\cfrac{6.25}{1} \\\\\\ 1=6.25x\implies \cfrac{1}{6.25}=x\implies 0.16=x[/tex]
a phone company offers two monthly plans. A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but cost $0.11 for each minute of calls
For 1,250 minutes, both plans will charge the same amount.
For how many minutes both plans charge the same?We know that Plan A costs $25 plus $0.09 per minute, so if you have x minutes of calls, the cost is given by the linear equation:
A(x) = $25 + $0.09*x
And plan B just charges $0.11 for each minute, then here we have the linear equation:
B(x) = $0.11*x
The costs are the same when:
A(x) = B(x)
$25 + $0.09*x = $0.11*x
Now we can solve this for x.
$25 = $0.11*x - $0.09*x = $0.02*x
$25/$0.02 = x = 1,250
We conclude that for 1,250 minutes, both plans will charge the same amount.
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John sold 36 cookbooks at 27 dollars each. How much did he make?
Answer:
$972
36 × 27 = 972
(-4c³d)²
someone answer this asap i’ll make it the brainiest please
[tex] \bf \implies {16} {c}^{6} {d}^{2} [/tex]
Step-by-step explanation:(-4c³d)² Evaluate it
We know that (a×b×c)² = a²b²c²According to the question
(-4 × c³ × d)²[tex] \bf { - 4}^{2} \times {c}^{3 \times 2} \times d^{2} [/tex][tex] \bf {16}\times {c}^{6} \times {d}^{2} \\ \bf or \\ \bf16 {c}^{6} {d}^{2} [/tex]leg 1: is 5 and leg 2: is 12 what is the hypotenuse
Answer:
13
Step-by-step explanation:
Hypotenuse is c
so c^2 = a^2 + b^2
c^2 = 5^2 + 12^2
c^2 = 25 + 144 = 169
c^2 = 13^2
c = 13
The stock bar chart to the right presents trading
information for the week of April 28 for the Ford Motor
Company.
● Which day had the greatest high price?
● What was the day’s close on April 30?
The stock bar chart of Ford the greatest high price is on 12/09/22 for US: F: $15,540. The day close on April 30 that with a high at April 27, 2022, 15.10 high.
Initial Data Representation Lists or graphs can be used to present data. A stock chart is a graphical representation. Most stock charts display historical data regarding a stock's trading prices and volume. The stock bar chart is a typical stock chart type.
A bar chart shows the open, high, low, and closing prices of a security or asset over a predetermined amount of time. A price bar's vertical line depicts the high and low prices for the specified time period. Each price bar's left and right horizontal lines stand in for the open and closing prices.
Hence, the stock bar chart of Ford is the greatest high price is on 12/09/22 for US: F: $15,5400 and the day close on April 30 that with a high at April 27, 2022, 15.10 high.
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What is the coordinate of the midpoint of GO?
I need help please
Answer:
0
Step-by-step explanation:between 4 and -4 is 0
For recent year, 31 more Democrats than Republicans were in the US House of Representatives if the total number of representatives in the house from these two parties was 433, find the number of representatives from each party
there were total 201 republicans and 232 democrats .
WHAT ARE LINEAR EQUATIONS ?There is only one or two variables in a linear equation. Nothing can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All the dots fall on the same line when the values that, when added together, make a linear equation true are determined and plotted on a coordinate grid.
CALCULATIONlet no. of republicans be x
then, no. of democrats is x + 30
total no. of members given are = 433
so if we make the equation
x + x + 30 = 433
2x = 403
x = 201 members of republican
democrats = 201 + 30 = 232
therefore , there were total 201 republicans and 232 democrats .
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