Answers
Answer:
300 seconds
Step-by-step explanation:
Given,
Speed of Jenna = 2m/s
Distance she covered = 600 m
Therefore, Time taken by her
[tex] = \frac{distance}{speed} [/tex]
[tex] = \frac{600}{2} [/tex]
= 300 seconds (Ans)
Related Questions
A line with a slope of -4 passes through the point (0, 0). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer: y = -4x
Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.
Select all ordered pairs that correspond to input-output pairs of the function y = -9x + 3.
(8, 2)
(-33, 4)
O (5, -1)
(6, -51)
Answers
f(8) = -9(8) + 3 = -69 ❌
f(-33) = -9(-33) + 3 = -294 ❌
f(5) = -9(5) + 3 = -42 ❌
f (6) = -9(6) + 3 = -51 ✅
so, the pair is (6, -51)
The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.
Answers
Answer: y – 3 = –1/7(x – 3)
5x+20=55 what does x equal?
Answers
Answer:
5x+20=55
5x=55-20
x=30/5=7
Answer:
x = 7
Step-by-step explanation:
5x + 20 = 55
- 20 - 20
5x (÷5) = 35 (÷5)
x = 7
solve the matrix and prove that it is equal 0
Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0
-6p-3=9 what does p equal
Answers
Answer:
-2
Explanation:
-6 x -2 = 12
12 - 3 = 9
Answer:
p=-2
Step-by-step explanation:
Move the -3 to the other side by adding 3 on both sides:
-6p-3+3=9+3
The equation now looks like this:
-6p=12
Divide -6 on both sides:
-6p/-6=12/-6
The equation now looks like this:
p=-2 which is the answer
Hope this helps!
-4x-12<12 this is equations and inequalities and I really need help LOL
Answers
Answer:
[tex]x>-6[/tex]
Step-by-step explanation:
[tex]-4x-12<12[/tex]
[tex]-4x-12+12<12+12[/tex] (Add [tex]12[/tex] to both sides of the inequality to isolate [tex]x[/tex])
[tex]-4x<24[/tex] (Simplify)
[tex]\frac{-4x}{-4}<\frac{24}{-4}[/tex] (Divide both sides of the inequality by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x>-6[/tex] (Simplify, don't forget to flip the sign of the inequality when multiplying or dividing by a negative number)
Hope this helps!
What ordered pairs satisfy the function y=2/3+1
Answers
Answer:
2345678io90
Step-by-step explanation:
The population of a city can be modeled by the expression p(1.06)^t where t represents the number of years since 1990 and p represents the population in 1990. which statement is correct?
A. the year growth rate of the population is 0.06%
B. the yearly growth rate of the population is 0.6%
C. the yearly growth rate of the population is 1.06%
D. the yearly growth rate of the population is 6%
please respond if you actually know the answer :)
Answers
Answer:
D
Step-by-step explanation:
.06 =6%
The expression p(1.06)^t represents D. the yearly growth rate of the population is 6%
What is the population growth rate?The country's yearly average rate of change in population size over a certain time period. It expresses the proportion, growth in population size, and the total population for that year.
Given, The population of a city can be modeled by the expression
[tex]p(1.06)^t[/tex] where t represents the number of years.
This describes the yearly growth rate of the population is 6%.
If in the previous year the population was 100 this year it'll be 106 and next year it'll be 106% of 106 which is 112.36.
learn more about population growth here :
https://brainly.com/question/18415071
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The sales tax on a $25,000 car is $1375. What is the sales tax rate?
PLEASE SHOW HOW YOU SLOVED IT!!! THX <3
Answers
Answer:
$11 sales tax per $200
Step-by-step explanation:
1375/25,000 = 11/200
Answer:
5.5%
Step-by-step explanation:
1375/25000= 5.5%
25000 * 5.5% = $1375.00
An airplane flies with a constant speed of 620 miles per hour. How long will it take to
travel a distance of 310 miles? Give your answer in minutes or hours.
Answers
Answer:
30 minutes
Step-by-step explanation:
Alright lets start by laying out what the problem gives us :
A plane flies 620 mph.
It is asking how long it will take to travel 310 miles.
We need to give our answer in minutes or hours.
So lets take mph and look at the full meaning "Miles per hour"
An hour has 60 minutes in it.
So really it is saying miles per 60 minutes as well as miles per hour
So you could say the plane is traveling 620 miles every 60 minutes.
So now lets look at the number 310.
Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!
So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.
Alright now lets divide both the number of miles and number of minutes :
620 miles per 60 minutes
divided by 2 both miles and minutes
310 miles per 30 minutes
So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!
I hope this helps and I could help you understand it. :)
If you have any questions feel free to comment or dm me.
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9
Answers
Answer:
The question is unclear. Please provide the table.
Round 150,893 to the nearest thousand.
Answers
Answer:
151,000
Step-by-step explanation:
Which represents the solution set of 5(x+5) <35?
X<12
X>12
X<16
X>16
Answers
Answer:
I got x<2 but that's not an option
Step-by-step explanation:
5(x+5) <35
5x+25<35
5x<10
x<2
Two customers went to an auto body shop. The first customer paid $561 for and oil change and four new tires. The second customer paid $303 for an oil change and two new tires. What is the cost of an oil change?
Answers
78
Step-by-step explanation:
Pls help I need an answer to this question
Answers
Answer:
7/12
Step-by-step explanation:
I gave all of the fractions a common denominator:
1/6= 2/12
5/12= 5/12
1/4= 3/12
1/6= 2/12
Then, I added the 2/12 (from 0-1 hours) and 5/12 (from 1 1/2-2 hours). THis will give the complete range of 0-2 hours.
Hope this helps!
Can someone cashapp me 12 dollars and I pay them back? It’s an emergency
Answers
Answer:
Wait why
Step-by-step explanation:
I don't understand can you ask your parents or friends. I don't give strangers money.
if g(x)=3x^2+2x-1, find g(0)
Answers
pls help has to be in a fraction ill give brainliest.
Answers
Answer:
-5/4
Step-by-step explanation:
slope = -4 - (-29) / -10 - 10
slope = 25 / -20
slope = -5/4
Which of these is a trinomial?
O A. x + 2y2 - 7
B. 5xy
C. 2x3 - 7y3
D. 2x - 7
Answers
Answer is Opition A
That is x + 2y2 - 7
Hope it is useful
Answer:
x + 2y2 - 7
Step-by-step explanation:
Ape-x
What is the solution to the equation 3(x+2)=12
Answers
Answer:
I think its, x = 2?
Step-by-step explanation:
Im not quite sure.... Sorry if i get it wrong
pls help im new so pls can u help me
Factorise
x^2+18x+80
Answers
Answer:
(x + 10)(x + 8)
Step-by-step explanation:
Given
x² + 18x + 80
Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)
The factors are + 10 and + 8 , since
10 × 8 = + 80 and 10 + 8 = + 18 , then
x² + 18x + 80 = (x + 10)(x + 8) ← in factored form
6. Allison wants to start saving for college. She got $250 in birthday money
and plans to save $50 a week from babysitting. Which equation could be
used to determine how many weeks it will take for her to save $1000? *
Answers
Find the x- and y-intercepts of the graph of the linear equation −x+8y=4.
Answers
y intercept: (0,1/2)
x-intercept is when y = 0
-x+8(0)=4
-x+0=4
x=-4
y-intercept is when x = 0
-(0)+8y=4
8y=4
y=4/8=1/2
ez pts
Write in radical form, then simplify the resulting radical and rationalize the denominator if need be:
312
Answers
Answer:
well first 312 in radical form is √312 and that simplified is 2√78 or 17.66352173
Step-by-step explanation:
What question do you ask a basketball player from Indiana?
Answers
9514 1404 393
Answer:
WHOOSIER COACH
Step-by-step explanation:
Linear pairs are supplementary. Vertical angles are congruent. An angle is the sum of its parts.
(a) C: supplementary to 138°, 180° -138° = 42°
(b) O: congruent to 138°
(c) R: supplementary to 32°, 180°-32° = 148°
(d) H: congruent to 32°
(e) S: complementary to 28°, 90° -28° = 62°
(f) O: supplementary to 122°, 180° -122° = 58°
(g) W: congruent to 122°
(h) C: supplementary to 28°, 180° -28° = 152°
(i) I: supplementary to 60°, 180° -60° = 120°
(∠TSW) E: supplementary to a right angle: 180° -90° = 90°
(∠TSU) O: half the complement of 20°, (90° -20°)/2 = 35°
(∠USW) H: complement of ∠TSU, 90° -35° = 55°
(∠RSV) A: supplement of ∠VSW = 180° -35° = 145°
__
The desired order of the letters corresponds to the sequence of angles ...
122°, 55°, 58°, 35°, 62°, 120°, 90°, 148°, 71°, 152°, 138°, 145°, 42°, 32°
WHOOSIER_COACH
A parabola has x-intercepts of (2, 0) and (-4, 0) and has a leading coefficient of 1. What is the equation of the parabola in standard form? *
Answers
9514 1404 393
Answer:
y = x^2 +2x -8
Step-by-step explanation:
For x-intercepts p and q, factors of the parabola's equation are (x-p) and (x-q). Since the leading coefficient is 1, those are the only factors.
y = (x -2)(x -(-4))
y = (x -2)(x +4) = x(x +4) -2(x +4) . . . . use the distributive property
y = x^2 +4x -2x -8 . . . . use the distributive property again
y = x^2 +2x -8 . . . . . . . .equation in standard form
Find the value for M.
Answers
Answer:
it is 10
Step-by-step explanation:
Answer:
g
Step-by-step explanation:
g
4x + 9y = 24
X + y = 10
Help ASAP
Answers
Answer:
14
Step-by-step explanation:
Answer:
(x, y) = (-16/5, 13[tex]\frac{1}{5}[/tex])
Step-by-step explanation:
4x + 9y = 24
x + y = 10 $\Rightarrow$ x = 10 - y
Substituting the value of x (second equation) into the first equation, we get:
4 * (10 - y) + 9y = 24
40 - 4y + 9y = 24
5y = -16
y = -16/5.
So, x = 10 - (-16/5) = 10 + 3[tex]\frac{1}{5}[/tex] = 13[tex]\frac{1}{5}[/tex]
David has counters. Lisa has 5 more counters than David. Samia has 4 times as many counters as David. The total number of counters is . Write a formula for in terms of . Give your answer in its simplest form.
Answers
Answer:
if 'c' equals number of counters, the answer is 6c + 5
Step-by-step explanation:
david has 'c'
lisa has '5+c'
samia has '4c'
add all terms together: c + 5 + c + 4c = 6c + 5
The formula for the total number of counters in terms of x is T = 6x + 5
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Let's start by expressing the number of counters Lisa has in terms of x. We know that Lisa has 5 more counters than David, so:
Lisa = David + 5
Lisa = x + 5
Next, we need to express the number of counters Samia has in terms of x. We know that Samia has 4 times as many counters as David, so:
Samia = 4 × David
Samia = 4x
Finally, we can express the total number of counters in terms of x by adding up the number of counters each person has:
T = David + Lisa + Samia
T = x + (x + 5) + 4x
T = 6x + 5
Therefore, the formula for the total number of counters in terms of x is T = 6x + 5.
Learn more about the algebraic expression here :
brainly.com/question/21751419
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The complete question is as follows:
David has x counters. Lisa has 5 more counters than David.
Samia has 4 times as many counters as David.
The total number of counters is T.
Write a formula for Tin terms of x. Give your answer in its simplest form.