Answer:
37,
Step-by-step explanation:
I need answer asap thank you
The measure of ∠QTS = 58°
Given; A triangle QPR
PQ = PR
this means that ∠ Q = ∠ R
and QR = QT this means ∠ R = ∠ T
And ST ║ QR
and QT is the transversal
From the above mentioned information we can conclude that
∠QTS = ∠TQR -------------- 1
Thus since ∠ Q = ∠ R
by using angle sum property of triangle we can conclude that
∠ Q + ∠ R = 116 [ exterior angle sum property ]
2 ∠ Q = 116
∠ Q = 58°
this means ∠ TQR = 58°
And from 1 we know that this angle is equal to angle QTS
Thus ∠QTS = ∠TQR = 58°
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What is the value of X? x(x² - 3x - 40) = 0
please show me how u solve it
Answer: x = 0, 8, -5
Step-by-step explanation:
We are trying to solve what value we substitute x into to get the value of 0. We have x outside of (x² - 3x - 40), and we can set that equal to 0. That will be one value of x because we are still left with (x² - 3x - 40). To solve this, we can factor it out into (x-8)(x+5). Set each equal to 0, (x-8) = 0 which leaves us with x = 8, and (x+5) =0, which leaves us with x = -5.
What is the slope-intercept form of the equation of the line shown in the graph?
The equation in slope intercept form is y= (-3/4)x + 95.
What is Linear Function?An equation can be represented by a linear function. The standard form for the linear equation is:
y= mx+b , for example, y=x+4.
Where: m= the slope.
It can be calculated for Δy/Δx.b= the constant term that represents the y-intercept. For the given example: m=1 and b=4.
It is important to inform that the standard form for the linear equation can be called slope-intercept form.
For writing a linear equation, you need two points. From the given graph, it is possible to extract some points, such as: (20,80), (60,50). Then, you should replace the known points in the slope-intercept form (y=mx+b).
For the point (20,80), you can write 80=m*20+b. And for the point (60,50), you can write 50=m*60+b.
Thus, you have:80=20m+b (1)50= 60m +b (2)For solving the previous system, you have to multiply the equation 1 by -1.
Thus,-80=-20m-b (1)50= 60m +b (2)
After that, sum equations 1 and 2.-80+50 = -20m+60m-30=40mm=-30/40m=-3/4
Now, you have y= (-3/4)* x+b.
For finding coefficient b, you should use one of the given points. For example:
(20,80).
y= (-3/4)*x+b for (20,80)80
= -3/4*(20) +b 80
= - 60/4+bb=80 + 60/4b=(320+60)/4b=380/4b
=95
Therefore, the equation in slope intercept form is y= (-3/4)*x + 95.
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The perimeter of an ICU ward, that is rectangular in shape, is 258 feet. The width is 37 feet less than the length. Find the dimensions of this ward.
Find Length(ft) and Width(ft)
The dimensions of the rectangle is 83 feet x 46 feet
What is the Perimeter of a Rectangle?
The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
The perimeter P of the rectangle = 258 feet
Let the length of the rectangle be = L
Let the width of the rectangle be = W
And , The width is 37 feet less than the length. ,
So , W = L - 37
Perimeter P = 2 ( Length + Width )
Substituting the values of L and W in the equation , we get
Perimeter P = 2 ( L + L - 37 )
2 ( L + L - 37 ) = 258
( L + L - 37 ) = 129
2L - 37 = 129
Adding 37 on both sides , we get
2L = 166
Divide by 2 on both sides , we get
Length L of the rectangle = 83 feet
Substituting the value of L in equation ,we get
W = L - 37
Width W of the rectangle = 46 feet
Therefore , Length = 83 feet and Width = 46 feet
Hence , the dimensions of the rectangle is 83 feet x 46 feet
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what is the distance between 2 + x and 2?
Answer:
The difference is the what the sum of 2+x is
Step-by-step explanation:
suppose x=3 2+3 = 5
the difference between 5 and 2 is 3
what does d = math help please ......
Answer:
d = -5
Step-by-step explanation:
[tex]\frac{4}{5}d + 3 = -2 -\frac{1}{5}d\\ \\ \frac{4}{5}d + \frac{1}{5} d = -3 -2\\\\\frac{4+1}{5}d = -5\\\\ \frac{5}{5} d = -5\\\\d = -5[/tex]
Check:
[tex](\frac{4}{5} )(-5) + 3 = (-2) - (\frac{1}{5})(-5)\\\\(\frac{-20}{5} ) + 3 = -2 - (\frac{-5}{5} ) \\\\-4 + 3 = -2 + 1\ = -1[/tex]
6. Solve the following equation: 28 ÷ 7 + 2 × 3 = ?
O A. 12
OB. 10
OC. 24
O D. 18
Answer:
B. 10
Step-by-step explanation:
According to BODMAS rule, the brackets have to be solved first followed by powers or roots, then Division, Multiplication, Addition, and at the end Subtraction.[tex]\rm \implies 28 \div 7 + 2 \times 3 \\ \\ \rm \implies 4 + 2 \times 3 \\ \\ \rm \implies 4 + 6 \\ \\ \rm \implies 10[/tex]
Show that the terms of the series ∑n=1log 5r are in AP. Hence, find the sum of the first twenty terms of the series and also the least value of n for which the sum to n terms exceeds 400
The required sum of the first twenty terms of the series ∑n=1log 5r are in AP will be 32.37.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
We have been given that the terms of the series ∑n=1log 5r are in AP.
As per the given question,
∑n(log(5r)) = log(5·1)+log(5·2)+log(5·3)+...+log(5·n)
n = 20
∑log(5r) = log(5·1)+log(5·2)+log(5·3)+...+log(5·20)
Using the property of logarithmic logₐ(xy) = logₐx + logₐy,
∑log(5r) = (log(5)+log(1)) + (log(5)+ log(2))+(10g(5)+Log(3))+ ...(10g(5)+Log(20))
∑log(5r) = (log(5)+log(5)+log(5)+...+log(5)
∑log(5r) = 20·1og(5)+((log(1)+log(2)+log(3)+...+log(20)
Using property of logarithmic logₐ(xy) = logₐx + logₐy,
∑log(Sr)=20·1og(5)+log(1×2×3×...20)
∑log(5r) = 20-log(5)+log(201)
∑log(5r) = 32.365524703598
Rounded to the nearest hundredth decimal,
∑log(5r) = 32.37
Thus, the required sum of the first twenty terms of the series ∑n=1log 5r in AP will be 32.37.
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Is -4 a solution to the following equation? 4 + 3(x + 2) = 12x + 20 -4x
Answer:
-4 is not a solution to the following equation.
Step-by-step explanation:
It you replace x with -4 on both sides of the equation you get -2=-12 and they are not equal to each other. Therefore, -4 is not a solution to the equation.
Quinn is baking sweet potato pies. The table shows the ratio of cups of sugar to number of pies.
Number of Pies 3 5 9
Cups of Sugar 1 and one half 2 and one half 4 and one half
How many cups of sugar will Quinn need to make 12 pies?
5 and one half cups
6 cups
6 and one half cups
8 cups
The ratio of 6 cups of sugar to pie that Quinn needs to make 12 potato pies will be 6 cups.
What is ratio?Ratio basically compares quantities, that shows value of one quantity with respect to other quantity.
If a and b are two values, there ratio will be a:b.
Given that,
For 3 potato pies required sugar is 3/2,
For 5 potato pies required sugar is 5/2,
for 9 potato pies required sugar is 9/2,
From the given information,
For 1 potato pies required sugar is 1/2
⇒For 12 potato pies required sugar=12×1/2=6
To make 12 potato pies, required sugar will be 6.
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Judy mom prepared 30 sandwiches for her friends. Her mom added chicken breast to 2/5 of the buns. How many chicken sandwiches did her mom make.
290 to 490 percent increase how much did it increase
answer the answer is 200
Step-by-step explanation:
490-290
What is the geometric mean of 5 and 11? *
A company gives yearly raises to their employees. The salaries at the company are based on the equation below, where S is the salary before taxes and t is the time since the date of hire in years.
S = $33,113 + $600t
What is the minimum number of years an employee would have to stay to make a salary of over $40,000 per year?
A. 13 years
B. 12 years
C. 11 years
D. 1 year
Based on the equation, the minimum number of years an employee would have to stay to make a salary of over $40,000 per year is B. 12 years.
What is an equation?An equation is a mathematical statement that defines that two or more mathematical expressions are equal or equivalent.
Equations show equality using the equation symbol (=).
When one expression is more or less than, or not equal to another expression, it is an inequality.
If S = $33,113 + $600t
Where S = the salary before taxes
t = the time since the date of hire in years.
For S ≥ $40,000:
$33,113 + $600t ≥ $40,000
$600t ≥ $40,000 - $33,113
$600t ≥ $6,887
t ≥ 11.48
t = 12 years
Thus, using the given equation, an employee needs to stay at the work for 12 years to earn more than $40,000 a year.
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If you draw two cards from a standard deck of 52 cards without replacement, find
P (Queen ⋂ Queen).
The probability of drawing two queens without replacement from ths standard deck is 1/221.
What is probability?Probability is the likelihood that an event will occur.
In a standard deck of cards, the total number of cards is 52.
There are 4 queens, the probability of drawing the first queen is 4/52.
After the first draw, there'll be 3 queens left and 52 cards. Therefore, the probability will be:
= 4/52 × 3/51
= 1/13 × 1/17
= 1/221
The probability is 1/221.
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What’s the answer???
Answer:
2nd
Step-by-step explanation:
4.
Consider the following amount of energy
used for three different activities:
. 1 minute of walking uses
25 kilojoules of energy
A (4
• 1 minute of jogging uses 84 kilojoules
of energy
1 minute of swimming uses
50 kilojoules of energy
a) How many more kilojoules of energy
would you use in an hour of jogging
than an hour of swimming?
b) To the nearest tenth, how many
minutes of walking would you have to
do to burn up the 1,130 kilojoules in a candy bar
In given word problem ,
a) 2040 more kilojoules of energy would you use in an hour of jogging than an hour of swimming .
b) 45 minutes 2 seconds of walking would you have to do to burn up the 1,130 kilojoules in a candy bar.
What is word problem ?
Our extensive collection of math word problems ranges from addition, subtraction, multiplication, and division to more specialised operations. Mathematical questions that are written as one or more sentences and ask students to use their mathematical understanding to solve problems from "real-life" situations are known as word problems. As a result, for kids to understand the word problem, they need to be familiar with the terminology that goes along with the mathematical symbols that they are already used to.
Here the given ,
=> 1 minute walking = 25 kilojoules
=> 1 minute jogging = 84 kilojoules
=> 1 minute swimming = 50 kilojoules.
a) 1 hour = 60 minutes.
1 hour jogging = 60*84 = 5040 kilojoules.
1 hour swimming = 60*50 = 3000
Then , => 5040-3000=2040 kilojoules.
Therefore 2040 more kilojoules of energy would you use in an hour of jogging than an hour of swimming .
b) x minute of walking = 1130 kilojoules.
=> 25*x=1130
=> x = 1130/25 = 45minutes 2 seconds.
Therefore 45 minutes 2 seconds of walking would you have to
do to burn up the 1,130 kilojoules in a candy bar.
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(2/7 , −3) ; r = 6 standard form of circle
What is the image point of (- 3, - 2) after the transformation r x-axis R 270^ ?
The image point of the point (-3, -2) after the transformation r x-axis R 270° is; (3, -2).
TransformationsIt follows from the task content that the image point of the pair of coordinates given is to be determined.
Given point is; (-3, -2).
Hence, after a reflection over the x-axis; we have; (-3, 2).
Also, after a rotation of 270°, it follows that we have; (x, y) ==> (-x, -y).
Therefore, the image point is; (-(-3), -(2)).
The image point is therefore; (3, -2).
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For which value of x is line l parallel to line m?
Answer:
70
Step-by-step explanation:
If lines l and m are parallel, then using the corresponding angles theorem, the angle that forms a linear pair with angle [tex]x[/tex] is [tex]110^{\circ}[/tex].
This means that [tex]x=70[/tex].
If <1 and <2 are supplementary and m <1 = 67 degrees , what is m<2?
Answer:
D
Step-by-step explanation:
supplementary angles sum to 180° , that is
∠ 1 + ∠ 2 = 180°
67° + ∠ 2 = 180° ( subtract 67° from both sides )
∠ 2 = 113°
if after 40 month amount of 2375 is received by 15/2% interest rate, how much is principal ?
The principal is 1900
From the question, we have
after 40 month amount of 2375 is received by 15/2% interest rate
T = 40/12 = 10/3
amount = 2375 = P+I
R = 15/2%
amount = P+I
2375 = P+(PRT)/100
2375 = P(1+(RT)/100)
substituting the value we get
2375 = P(1+(25)/100)
2375 = P*125/100
P = 2375*100/125
P = 1900
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Please help me with these sorry for how many there are
Answer: 19.2, 1.7, 15.93, 0.0512
Step-by-step explanation:
We can multiply these straight across but the trick with decimals is that your answer needs to have the same decimal place distance as what you are multiplying. In the first question, we go one decimal place. In the second, we go two decimal places. In the fourth, we go four decimal places.
What is the range of the given function?
{(-2, 0), (-4, -3), (2, −9), (0, 5), (−5, 7)}
O {x|x = -5, -4, -2, 0, 2)
Oyly = -9, -3, 0, 5, 7)
{x|x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Oyly = -9, -5, -4, -3, -2, 0, 2, 5, 7}
The range of the given function is:
Range: {-9,-3,0,5,7}
We are given ordered pair of set (x,y)
where, first value of ordered pair shows domain of function and second value of ordered pair shows range.
Range: It is output value of function.
Ordered pair: {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
We can write as:
f(-2)=0, f(-4)=-3, f(2)=-9, f(0)=5, f(-5)=7
The values of f(x) are the range of function.
We will make a set of second value of all ordered pair of given set.
Range: {-9,-3,0,5,7}
Hence we get the required range of the function.
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HELP WILL GIVE BRAINLYEST!!!!!!! 30 POONTS Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−4, −25), (−4, −12), and (−7, −12)?
(−12, 7)
(−7, −25)
(−7, 12)
(−25, 7)
Answer: I believe the answer is (-7, 12)
Step-by-step explanation:
Answer:
-7,12
Step-by-step explanation:
Khalil filled an ablum with 104 postcards. If there are 4 postcards on each page, how many pages are in the ablum?
Step-by-step explanation:
so there sre 104 postcards .so what we do is 104 ÷ 4 post cards on each page , it will then = to 26 pages
Find D subscript x y if
y = e^(-1/x^2)
Hint: remember the definition of derivative of natural log and use chain rule
The derivative of the natural log function y = e^(-1/x^2) is
2x^(-3)e^(-1/x^2)How to solve for the derivativeThe given function is
y = e^(-1/x^2)
The given function is rearranged as
y = e^(-1/x^2) = e^u such that u = (-1/x^2)
Applying chain rule
y = e^u
y' with respect to u = e^u
u = (-1/x^2) = -x^(-2)
u' with respect to x = 2x^(-3)
(y' with respect to u) * (u' with respect to x)
= e^u * 2x^(-3)
plugging in the value of u
= e^(-1/x^2) * 2x^(-3)
= 2x^(-3)e^(-1/x^2)
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Drag and drop each item into the appropriate space.
Given: WXYZ is a parallelogram; overline WY is a transversal
Prove: triangle WXY cong triangle YZW X
Statement Reason
1. WXYZ is a parallelogram overline WY is a transversal
2 overline XY cong overline WZ :; overline XW cong overline YZ
3 . angle WYX cong angle YWZ 4 overline WY cong overline WY
5. triangle WXY cong triangle YZW
Reflexive Property
Definition of a parallelogram
ASA
Alternate interior angles are
Given
Five thousand dollars is deposited into an ordinary annuity after each quarter for 3 years. The account pays 6
percent interest compounded quarterly. What is the future value of the account in 3 years?
The future value of the account in 3 years is $15,918.
What is a future value?
The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
Here, we have
FV =C×[ ((1+i)ⁿ −1)/i]
where:
C = cash flow per period
i = interest rate
n = number of payments
By applying the future value formula, we get
= $5,000×[ ((1+0.06)³ −1)/0.06 ]
= $5,000×3.1836
= $15,918
Hence, the future value of the account in 3 years is $15,918.
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ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST
The value of constant C is 50.
Explain linear equation.Equations with a maximum degree of one are referred to as linear equations. According to this rule, a variable in a linear equation cannot have an exponent greater than 1.
A linear equation's graph is always depicted as a straight line. There are linear equations for one variable and two variables, respectively.
Given, the linear equation is 12.5x+5y = C
Here, constant C.
Consider one points from given table x = -2 and y = 15,
Putting the value of x and y,
C = 12.5×(-2) + 5×15
= -25 + 75
= 50
For point, x = 0 and y = 10,
Putting the value of x and y,
C = 12.5×0 + 5×10
= 50
For point, x = 2 and y = 5,
Putting the value of x and y,
C = 12.5×2 + 5×5
= 25 + 25
= 50
Given, x = 4 and y = 0,
Putting the value of x and y,
C = 12.5×4 + 5×0
= 50
Therefore, the value of constant C was found to be 50.
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