Answer:
s=10Ź+ź×ź
Step-by-step explanation:
S =ut + 1/2at×t
How do you write 5.4 × 103 as an ordinary number?
Answer:
5400
Step-by-step explanation:
5.4 × 10³
Move the decimal point 3 places to the right.
⇒ 5400
(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.
Find the sum of the first six terms of the sequence.
S6 = ⇒ 84
Answer:
Explained below.
Step-by-step explanation:
Consider the series is a set of first 6 natural numbers.
Sum of first n terms is:
[tex]\text{Sum of n terms}=\frac{n(n+1)}{2}[/tex]
[tex]\text{Sum of first 6 terms}=\frac{6(6+1)}{2}[/tex]
[tex]=3\times7\\=21[/tex]
Consider the series is an arithmetic sequence.
Sum of first n terms is:
[tex]S_{n}=\frac{n}{2} [2a+(n-1)d][/tex]
Here,
a = first term
d = common difference
Consider the series is an geometric sequence.
Sum of first n terms is:
[tex]S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}[/tex]
Here,
a₁ = first term
r = common ratio
Answer:
84
Step-by-step explanation:
Correct on edge 2021!!!
Look in pic for what to do! I’ve formed the equation just need help to solve the equation!
Answer:
[tex]4x-3=11\\4x= 11+3\\x= 14:4\\x=\frac{7}{2}[/tex]
Step-by-step explanation:
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Linear Equations in One Variable.
so here for solving, we get as,
=> 4x - 3 = 11
=> 4x = 11+3
=> 4x = 14
=> x = 14/4
=> x = 3.5
What is g(x)?
O A. g(x) = x^2
O B. g(x) = -X
O c. g(x) = -2^x
O D. g(x) = -|x|
Answer:
A is the answer as to me check it
Answer:
The right answer is g(x) = -|x|
Step-by-step explanation:
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!
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:
It’s timed please help
Answer: 3[tex]\sqrt{2}[/tex]
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.
SHOW YOUR WORK PLEASE!
Answer:
not equivalent
Step-by-step explanation:
Given
[tex]\frac{6}{7}[/tex] = [tex]\frac{7}{9}[/tex]
If the ratios are equivalent then ib cross- multiplying the 2 sides should be equal, that is
6 × 9 should equal 7 × 7
However, 54 ≠ 49
Thus the ratios are not equivalent
Which algebraic expression is a polynomial? 3m2n-2m/n+1/n
Answer:
d) [tex]7mn+\frac{3m}{2}+\frac{5n}{4}[/tex]
Step-by-step explanation:
Which algebraic expression is a polynomial?
[tex]a)3m^2n-\frac{2m}{n}+\frac{1}{n} \\b)\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5\\c)\frac{4m^3}{n^2}-3mn^5+\sqrt{8}\\d)7mn+\frac{3m}{2}+\frac{5n}{4}[/tex]
Answer: A polynomial is an expression with variables and coefficients separated by addition and subtraction. The following are used when determining if an expression is a polynomial:
i) Variables of a polynomial must not have negative exponent.
ii) Variables of a polynomial must not have fractional exponent.
iii) Dividing by an exponent is not allowed
iv) Exponent radicals are not allowed.
a) [tex]3m^2n-\frac{2m}{n}+\frac{1}{n}[/tex] is not a polynomial because dividing by an exponent is not allowed.
b) [tex]\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5[/tex], is not a polynomial because exponent radicals are not allowed (√m)
c) [tex]\frac{4m^3}{n^2}-3mn^5+\sqrt{8}[/tex] is not a polynomial because dividing by an exponent is not allowed.
d) [tex]7mn+\frac{3m}{2}+\frac{5n}{4}[/tex] is a polynomial
Answer:
d
Step-by-step explanation:
On a school trip, the ratio of the teachers to students is 2:21. The ratio boys to girls is 4:3. If there are 18 girls girls on the trip, how many teachers are there?
Answer:
4
Step-by-step explanation:
Let's say B is the number of boys and T is the number of teachers.
T / (B + 18) = 2/21
B/18 = 4/3
Solve the second equation for B.
B = 24
Plug into the first equation to find T.
T / (24 + 18) = 2/21
T = 4
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.
Use one of your new conjectures to find the lettered angles measures. R=
Answer:
The Exterior Angle of a Triangle Formula states that the measure of an exterior angle is equal to the sum of its remote interior angles. Therefore, r + 58 = 130 which means r = 72°.
what is the age of Alps mountain
Step-by-step explanation:
The Alps were born 770 million years ago.
Hope this helps..
Answer: About 65 million years ago.
Step-by-step explanation: The Alps emerged during the alpine orogeny, an event that began about 65 million years ago as the Mesozoic era was drawing to a close.
PLEASE MARK ME AS BRAINLIEST IF MY ANSWER IS RIGHT.
Which of the following is equal to √16*4?
A. 64
B.√16/4
C.√16×√4
D.32
Answer:
C
Hope I am correct :)
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~
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
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)
Write the equation of a line that is parallel to x=-5 and passes through the point (1,4)
Answer:
x=1
Step-by-step explanation:
The line that represents x=5 is vertical so the only equations that can parallel it must also be vertical. x=1 is the only vertical line on a graph that can pass through (1,4)
HELP ME PLEASE HELP HELP
Answer:
(5x−3)(x−4)
Step-by-step explanation:
5x2−23x+12
5x2−23x+12
=(5x−3)(x−4)
(-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.
Simplify the polynomial 3x2+4x−5x2+16−7x
Answer:
The simplified form of this expression is -2x² - 3x + 16
Step-by-step explanation:
For this problem, we are asked to simplify the expression.
3x² + 4x - 5x² + 16 - 7x
Combine like terms.
-2x² - 3x + 16
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]
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.
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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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.
express 9214 in standard form
Answer:
Step-by-step explanation:
9.214x10³
All members of our painting team paint at the same rate. If $20$ members can paint a $4800$ square foot wall in $36$ minutes, then how long would it take for $9$ members to paint a $4200$ square foot wall, in minutes?
Answer:
It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.
Step-by-step explanation:
According to the situation the calculation is shown below:-
= [tex]\frac{4800}{20}[/tex]
= 240 sq ft each member of the team in 36 minutes
= [tex]\frac{240}{36}[/tex]
= 6.67 sq ft each member of the team within 1 minute
[tex]= 6.67\times 9[/tex]
= 60 sq ft for every 9 team members in one minute
= [tex]\frac{4200}{60}[/tex]
= 70 minutes (or 1 hour and 10 minutes)
Hence, the 70 minutes is taken for 9 team members