Answer & Step-by-step explanation:
[tex]\frac{-t-5}{3}=\frac{t-3}{5}[/tex]
Cross multiply.
[tex]-5t-25=3t-9[/tex]
Subtract -3 on both sides.
[tex]-8t-25=-9[/tex]
Add 25 on both sides.
[tex]-8t=16[/tex]
Divide -8 on both sides.
[tex]t=-2[/tex]
If you were to pull colored marbles out of the bag (one at a time, and putting the marble back each time) for 500 tries, approximately how many times would you select a red marble?
Answer:
We need to know the other marbles in the bag and how many there are of each.
someone help me I will give brainliest:)
Answer:
Hello There. The correct answer is 10^(-4)
Explanation: 0.000 038 52 x 3.852 = Hope it Helps! ♡ 10^(-4)
ItsNobody~
List the numbers that are in set (A U B)'
Answer
Step-by-step explanation:
(A U B) means that we should list the numbers that are in both A and B 12/8/10 are for example in both A and B THE COMPLEMENT is anything that is out ( A U B ) so 1,3 and 5(40 POINTS) TRUE OR FALSE? The transformation of the function f(x) = (1/2)^x when it becomes f(x) = (1/2)^x+3 is a horizontal shift of 3 units to the right?
Answer:
False.
Step-by-step explanation:
You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.
Nora orders a bowl of Tom Yam soup at a restaurant which offers a 15% discount.
The marked price of the Tom Yam soup is $6.90. Given that there is a service
charge of 10% and CST is at 7%, find the total amount of money she has to pay.
plz answer this question
i cannot understand it!
Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Answer: Francisco is correct
Step-by-step explanation:
Positive 4 and positive 7
Negative 3 and negative 2
4 * 7 = 28
-3 * -2 = 6
Ifx=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
Answer:
D = 0
Step-by-step explanation:
Given
x-intercept = -3
Required
What does the discriminant represent?
The discriminant of a quadratic function can take any 3 values; these are as follows;
When D > 0 When D < 0When D = 0Which translates to
signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots existThe question says that x-intercept = -3 is the only value;
This means that: x = -3 or x = -3
Analyzing the roots
3 and -3 are identical-3 and -3 are realThis means they satisfy condition number 3;
Hence, D = 0
Which set of values could be the side lengths of a 30 60 90 triangle
Step-by-step explanation:
[tex]x \: and \: \frac{1}{2} x \: and \: \frac{ \sqrt{3} }{2} x[/tex]
because
[tex] \sin(30) = \frac{1}{2} \\ \sin(60) = \frac{ \sqrt{3} }{2} [/tex]
Answer: your answer is A
Step-by-step explanation: when you have a 30 6090 triangle your sides will always have a set pattern. Decide across from the 30 angle will be equal to n decide across from the 60 angle Will always be equal to n sqared
A triangular sign board is isosceles Given that the unequal side is 7 cm and the perimeter of the triangle is 25 cm What is the measure of the third side
Answer:
The measure of the third side is 9 centimeters.
Step-by-step explanation:
An isosceles triangle is a figure which two of its sides have the same length. The perimeter is the sum of all lengths from sides. Hence, the expression for perimeter of an isosceles triangle is given by the following expression:
[tex]p = l + 2\cdot w[/tex]
Where:
[tex]p[/tex] - Perimeter, measured in centimeters.
[tex]l[/tex] - Unequal side, measured in centimeters.
[tex]w[/tex] - Equal side, measured in centimeters.
The measure of the third side is calculated after clearing the equal side in the perimeter equation:
[tex]w = \frac{p-l}{2}[/tex]
Given that [tex]p = 25\,cm[/tex] and [tex]l = 7\,cm[/tex], the length of the third side is:
[tex]w = \frac{25\,cm-7\,cm}{2}[/tex]
[tex]w = 9\,cm[/tex]
The measure of the third side is 9 centimeters.
Instructions: Find the missing length indicated.
Answer:
X = 20
Step-by-step explanation:
To get the answer, we can set this up like a ratio.
First, we need to get the missing side of the small triangle. Using [tex]a^{2} +b^{2} = c^{2}[/tex] we get [tex]9^{2} +b^{2} =15^{2}[/tex]
[tex]9^{2} +b^{2} =15^{2}[/tex] square
[tex]81 +b^{2} = 225[/tex] subtract 81 from 225
[tex]b^{2} =144[/tex] square root
[tex]b=12[/tex]
Set up a ratio:
[tex]\frac{9}{15} = \frac{12}{x}[/tex]
[tex]\frac{3}{5} =\frac{12}{x}\\3x=60\\x=20[/tex]
(-3,0) m = 2
Finde slope intercept form
Answer: y = 2x + 6
Step-by-step explanation:
Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.
m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.
The line also goes through (-3, 0) using the slope.
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22 7 for π.
Answer
D: 132 ft
C= π2r
So, take pi and multiply that by two..
π2= 6.28
Now, take your radius and multiply it by 6.28.
21 x 6.28= 131.88
Round it two the nearest whole number, which is 132!
Hope this helps!
The formula for circumference is C = 2 x pi x radius
c = 2 x 22/7 x 21
C = 132
The circumference is 132 feet
Solve the following equation using the quadratic formula.
x^2 - 8x + 97 = 0
А.x = 8 + 18i and x = 8 – 18i
B.x= 8 + 18i and x = 8 - 18i
C.x= 4 + 9i and x = 4 - 9i
D. x= 4 + 9i and x= -4 - 9i
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i
Answer:
C. x= 4 + 9i or x = 4 - 9i
Step-by-step explanation:
[tex]x^2 - 8x + 97 = 0[/tex]
Use the quadratic formula.
[tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute a = 1, b = -8, and c = 97.
[tex]\frac{-\left(-8\right)\pm\sqrt{\left(-8\right)^2-4\times 1\times 97}}{2\times 1}[/tex]
Evaluate.
[tex]\frac{8\pm\sqrt{324}i}{2\times 1}[/tex]
[tex]\frac{8\pm18i}{2}[/tex]
[tex]4\pm9i[/tex]
Geometry can be defined as
Answer:
Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.
Step-by-step explanation:
Can any one please do this for me I did not know how to do it can some one please help me
Answer:
Length ≈ 31cm
Width ≈ 10cm
Step-by-step explanation:
[tex]Let -the-length-be : x\\Let-the-width-be :y\\\\According- to- the- question ; \\x = 3(y)\\x=3y ---------(1)\\2(l+w)=82\\2(x+y)=82\\2x+2y =82 --------(2)\\Substitute- the - given- value- for ; x -in - equation---(1) into -equation (2)\\2(3y)+2y =82\\6y+2y=82\\8y =82\\\frac{8y}{8} =\frac{82}{8} \\y = 10.25\\\\Substitute 10.25 -for ;y -in -eq 1\\x=3y ---------(1)\\x = 3(10.25)\\x = 30.75[/tex]
CHECK
[tex]Length =31\\Width = 10\\P = ?\\P= 2(l+w)\\P = 2(31+10)\\P = 2(41)\\P= 82cm[/tex]
Please help me with trig I’d really appreciate
Answer:
2 root 10/ 7, or the second option.
Step-by-step explanation:
If a is 3, then b is root 40. (Pythagorean)
root 40= root 4x10, or 2 root 10
Tangent= opposite/hypotenuse
Tangent= 2 root 10/ 7
Pleas answer this is in two minutes
Answer:
b
Step-by-step explanation:
not a because equilateral would be all equal
scalene is all different
Answer:
scalene
Step-by-step explanation:
because all sides are different.
I divided one hole number by another hole number and got 3.125 on my calculator. both my numbers are less than 50 but I'v forgotten what they are. Can you work out what they are?
Answer:
25 and 8
Step-by-step explanation:
a/b = 3.125
a/b = 3125/1000
make it simple (divide by 25)
a/b = 125/40
ah, can be more simple (divide by 5)
a/b = 25/8
see 25 + 8 is less than 50
Step-by-step explanation:
1.25/8=3.125
50/16=3.125
but it tells that both two numbers are less than 50 then,the numbers are 25 and 8
Please Answer! Select the correct answer. Waylan created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Waylan drew?
Answer:
The answer is y=3/4+5 (C)
Step-by-step explanation:
You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.
The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.
From the given graph, the coordinate points are (4, 8) and (16, 17).
Here, slope (m) = (y₂-y₁)/(x₂-x₁)
= (17-8)/(16-4)
= 9/12
= 3/4
Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get
8=3/4 ×4+c
8=3+c
c=5
Substitute m=3/4 and c=5 in y=mx+c, we get
y=3/4 x+5
Therefore, the correct answer is option C.
To learn more about the line of fit visit:
https://brainly.com/question/14279419.
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Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.
Answer:
Step-by-step explanation:
The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.
Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is
0 ≤ x ≤ 9460
Where x represents number of people.
For the range, the lowest total sales is 0 × 45.5 = $0
The highest total sales is
9460 × 45.5 = $430430
The range is
0 ≤ y ≤ 430430
Where y represents total sales
Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b obtuse. What must be true?
Answer:
C
Step-by-step explanation:
If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.
Answer:
C.
Step-by-step explanation:
In triangles, the largest angle is always opposite from the longest side.
In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.
In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.
The correct answer is C.
What are the radius and circumference of a circle with diameter of 12 meters
Answer:
radius =6, circumference=37.7 m
Step-by-step explanation:
radius=12/6, circumference=2*pie*r
2*22/7*6=37.7 m
Answer:
Circumference of a circle = 2πr
where r is the radius
radius = diameter / 2
radius = 12 / 2 = 6 m
radius is 6 meters
Circumference = 2π×6
= 12π
= 37.7 meters
Hope this helps
Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.
Answer:
5[tex]x^{4}[/tex] - 8x² + 4
Step-by-step explanation:
Split the numerator, dividing each term by 4x³ , that is
[tex]\frac{20x^{7} }{4x^{3} }[/tex] - [tex]\frac{32x^{5} }{4x^{3} }[/tex] + [tex]\frac{16x^{3} }{4x^{3} }[/tex]
= 5[tex]x^{4}[/tex] - 8x² + 4 ← quotient
HELP ME PLEASE HELP HELP
Answer:
(5x−3)(x−4)
Step-by-step explanation:
5x2−23x+12
5x2−23x+12
=(5x−3)(x−4)
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time. Are the events, departing on time and arriving on time, independent?
Complete Question
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.
• You are meeting a flight that departed on time. What is the probability that it will arrive on time?
• You have met a flight, and it arrived on time. What is the probability that it departed on time?
• Are the events, departing on time and arriving on time, independent?
Answer:
1st Question
[tex]P(X_1) = 0.833[/tex]
2nd Question
[tex]P(X_2) = 0.938[/tex]
3rd Question
The probabilities are not independent
Step-by-step explanation:
From the question we are told that
The probability of flight that depart on time is P(DT) = 0.9
The probability of flights that arrive on time is [tex]P(AT) = 0.8[/tex]
The probability of flight that depart on time and arrive on time is [tex]P(DT\ |\ AT) = 0.75[/tex]
In the first question the flight is departed on time so the probability that it will arrive on time is
[tex]P(X_1) = \frac{P(DT\ | \ AT)}{DT}[/tex]
substituting values
[tex]P(X_1) = \frac{0.75}{0.9}[/tex]
[tex]P(X_1) = 0.833[/tex]
In the second question the flight arrived on time, so the probability that it departed on time is mathematically evaluated as follows
[tex]P(X_2) = \frac{P(DT\ | \ AT)}{AT}[/tex]
substituting values
[tex]P(X_2) = \frac{0.75}{0.8}[/tex]
[tex]P(X_2) = 0.938[/tex]
Looking at the given and calculated values we see that the probability of depart on time and arrive is not equal to the probability of depart on time,
i.e 0.75 = 0.8
the probability of depart on time and arrive, and the probability of depart on time are not independent
H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?
Answer:
15 units
Step-by-step explanation:
Given the equation which models the path of a stone as:
[tex]H(x)=-5x^2+10x+15[/tex]
At the time when the stone was thrown
x=0
Therefore:
[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]
The height of the stone at the time it is thrown is 15 units.
Fill in the blanks to solve 2{,}000 \times 92,000×92, comma, 000, times, 9. 2{,}000 \times 92,000×92, comma, 000, times, 9 Step 111 {} \times \ 2 \times 9× 2×9times, space, 2, times, 9 Step 222 {}\times \ 18× 18times, space, 18 Step 333
Answer:
[tex]\boxed{}[/tex] =1,000
Step-by-step explanation:
We want to solve: [tex]2{,}000 \times 9[/tex]
Now, 2000=1000 X 2
We were given the following steps:
[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]
Therefore, the blank space is to be filled with 1000.
[tex]2{,}000 \times 9 =18{,}000[/tex]
simplify 3 x (x + 2) + 2 x ( 1 - x)
Answer:
x+8
Step-by-step explanation:
[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]
Hope this helps!
Answer:
x + 8
Step-by-step explanation:
3 × (x + 2) + 2 × (1 - x)
3(x + 2) + 2(1 - x)
Expand the brackets.
3(x) + 3(2) + 2(1) + 2(-x)
Multiply the terms.
3x + 6 + 2 + -2x
Rearrange.
3x + - 2x + 6 + 2
Add like terms.
1x + 8
A ball always bounces to 3/5 of the height from which it is dropped. The ball is dropped from 1.8m and bounces 3 times. How many times will it rise from the third bounce?
Answer:
0.3888 m or 38.88 cm
Step-by-step explanation:
I believe the question should be "how high will it rise from the third bounce?"
Initial height = 1.8m
If the ball only rises to 3/5 of the previous height after each bounce, the heights after the first three bounces are;
[tex]h_0=1.8m\\h_1=\frac{3}{5}*1.8=1.08\ m\\h_2=\frac{3}{5}*1.08=0.648\ m\\h_3=\frac{3}{5}*0.648=0.3888\ m[/tex]
The ball will rise 0.3888 m or 38.88 cm from the third bounce
Answer: 2.92h
Explanation:
Given:
the ball falls and rebounds to 3/5 of the height it is falling.
Height = 1.8m
to calculate the total distance traversed by the ball up to the third bounce
D = h(0) + (3/5) x h(0) + (3/4) h(0) + (3/4) x (3/4) h(0) + (3/5) x (3/5) h(0) the ball falls and rebounds to 3/4 of the height it is falling.
this distance = down + up +down +up +down only
otherwise it will do the after 3rd bounce travel.
D = h(0) { 1 + 2 x (3/5) + 2 x (9/25) }
= 2.92h(0)
What is the difference between the Segment Addition Postulate and the Midpoint of a Segment?
Answer:
Does this help?
Step-by-step explanation:
Segment Addition Postulate: If B is between A and C, then AB + BC = AC. In geometry two objects that have the same size and shape are called congruent. ... The midpoint of a segment is the point that divides the segment into two congruent segments.