Answer:
3 m/s²
Step-by-step explanation:
"It took 1 s more to accelerate from a velocity of 1 m/s to a velocity of 5 m/s than it took to accelerate from rest to a velocity of 1 m/s. Find the acceleration."
Acceleration is equal to change in velocity over change in time. The acceleration is constant, so we can write a proportion:
(1 m/s − 0 m/s) / t = (5 m/s − 1 m/s) / (t + 1 s)
1 / t = 4 / (t + 1)
4t = t + 1
3t = 1
t = ⅓
The acceleration is therefore:
a = Δv / Δt
a = (1 m/s − 0 m/s) / (⅓ s)
a = 3 m/s²
someone please, i have asked this question before and nobody answered... i really need help..
Answer:
h = 5.2 cm
we can determine that the base length of the triangle is 3 cm as its a square. the hypotenuse given - 6 cmusing Pythagoras theorem:
a² + b² = c²
3² + h² = 6²
h² = 36 - 9
h² = 27
h = 3√3
h = 5.2 cm
Write g(x) = 40x 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect square trinomial. Write the trinomial as a binomial squared. G(x) = 4x2 40x g(x) = 4(x2 10x) (ten-halves) squared = 25 g(x) = 4(x2 10x 25) – 4(25) g(x) = (x )2 –.
The specified function's vertex form is [tex]g(x) = 4(x+5)^2 - 100[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
What is a perfect square polynomial?If a polynomial p(x) can be written as:
[tex]p(x) = [f(x)]^2[/tex]
where f(x) is also a polynomial, then p(x) is called as perfect square polynomial
For the considered case, the polynomial specified is;
[tex]g(x) = 40x + 4x^2[/tex]
Case 1: Converting to vertex form[tex]g(x) = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\[/tex]
Thus, the vertex form of the considered polynomial is [tex]g(x) = 4(x+5)^2 - 100[/tex]
Case 2: Converting to standard formStandard form of a quadratic polynomial is [tex]ax^2 + bx + c[/tex]
Thus, we get: the considered polynomial in standard form as:
[tex]g(x) = 4x^2 +40x[/tex]
Case 3: Factoring the first two terms of polynomial[tex]g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)[/tex]
Case 4: Forming a perfect square trinomialThe considered polynomial has only two terms, therefore, its not a trinomial.
Thus, the specified function's vertex form is [tex]g(x) = 4(x+5)^2 - 100[/tex]
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Answer:
g(x)=4(x+5)^2-100
Step-by-step explanation:
Have the day you deserve :)
Tasha earns $75,000 per year. Her payroll deductions are 28% of her gross income. She saves 5% of her net
income each month in case of an emergency. How much will she budget for her emergency savings for the month
of March?
O $3,750
$312.50
O $87.50
O $225.00
Answer:
87.50
Step-by-step explanation:
75,000 x 28% ÷ 12
She will budget $225 for her emergency savings for the month of March
How to determine the amount saved for emergency?We have:
Gross = $75,000 per year.
Payroll deductions = 28%
So, the net pay is:
Net = (1 - 28%) * $75,000
Evaluate
Net = $54000
The net income per month is:
Monthly = $54000/12
Evaluate
Monthly = $4500
5% of her net income goes to emergency.
So, we have:
Emergency = 5% * $4500
Evaluate
Emergency = $225
Hence, she will budget $225 for her emergency savings for the month of March
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HELP PLEASE I NEED ANDWERS❤️❤️❤️
Sorry, I couldn't figure out the last one, it just takes a lot of trial and error and luck :(
You know that S times A is the digit N. Then, A squared plus whatever the first digit of the2 digit number XN is MA.
A cannot be five because if you were to do 5 times 5 it would be 25. A squared is 25 and the last digit is already A so added on to anything else the equation would be false. So the only considerable value for S would be one, but then A times S would be 5, but N is not A. I hope you get what I mean.
A cannot be 6 for the same reason (just change the 5 to six on my last pragraph).
If A were 7 then you'd have to find something to add to 49 to make it end in 7, which means adding 6. 7 times 9 is 63, so S could be 9. 79 times 7 is 573. That is the answer. A = 7, S = 9, M = 5, N = 3.
As for NINE - FOUR = FIVE, E - R is E so R must be 0.The only one digit number a number can be subtracted by to get itself is 0.
Now, N - U = V, or 1N - U = V
Let's say N is 3 and U is 6. V would be 7.
We've just took one from I. I - 1 - O = I. 1+O must be 10 or 0, but O must be positive, so O = 9. Let's say I is 5.
We just borrowed one form N. N-1 - F = F. N - 1 = 2 times F.
But we know that N is 3. 2 = 2 times F. F is 1.
Let's just make E = 8
My final answer is 3538 - 1960 = 1578
There are MANY other answers though.
N = 3, I = 5, E = 8, O = 9, U = 6, R = 0, V = 7.
Hello people ~
factorise: x^2 + 3 √3 x + 6
[tex]\\ \rm\rightarrowtail x^2+3\sqrt{3}x+6[/tex]
[tex]\\ \rm\rightarrowtail x^2+\sqrt{3}x+2\sqrt{3}x+6[/tex]
[tex]\\ \rm\rightarrowtail x(x+\sqrt{3})+2\sqrt{3}(x+\sqrt{3})[/tex]
[tex]\\ \rm\rightarrowtail (x+2)(x+2\sqrt{3})[/tex]
Using the quadratic formula,
∆=b²-4ac∆=(3√3)²-4(1)(6)∆=(9×3)-4(6)∆=27-24∆=3[tex]x1 = \frac{ - b - \sqrt{3} }{2a} = \frac{ - 3 \sqrt{3} - \sqrt{3} }{2} = \frac{ - 4 \sqrt[]{3} }{2} [/tex]
[tex]x1 = - 2 \sqrt{3} [/tex]
Similarly,[tex]x 2 = \frac{ - b + \sqrt{3} }{2a} = \frac{ - 3 \sqrt{3} + \sqrt[]{3} }{2} = \frac{ - 2 \sqrt{3} }{2} [/tex]
[tex]x2 = - \sqrt{3} [/tex]
Method 2:x²-Sx+P=0where S is the sum of the roots & P is the product of the roots.x¹+x²= -3√3 x¹x²=6Solving the system you get the same answers.Your factored equation can be written in the form of:
(x-x¹)(x-x²)
(x+2√3)(x+√3)
What is 3(x-1)+4=12 ?
Answer:
3.66666. . . = 11/3 = 3 2/3
Step-by-step explanation:
Use distributive property.
3 ⋅ x = 3x
3 ⋅ (-1) = -3
3x - 3 + 4 = 12
Add -3 to 4
1
3x + 1 = 12
Subtract 1 from both sides.
3x = 11
Divide both sides by 3
3.666666. . .
This can also be written as 11/3
11/3 can be simplified to 3 2/3
Hope I helped :)
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a water bottle has a capacity of 25oz.. How many cups of water will the water bottle hold.
Answer:
3.125 U.S. cups
take how many cups are in one ounce and multiply it.
what is the line of symmetry of the parabola y=x2+6×-9
x=6
x=-9
×=-3
Answer:
x = - 3
Step-by-step explanation:
given a parabola in standard form y = ax² + bx + c (a ≠ 0 )
then the equation of the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 6x - 9 ← is in standard form
with a = 1, b = 6 , then the equation of the axis of symmetry is
x = - [tex]\frac{6}{2}[/tex] = - 3 , that is x = - 3
Help me pleaseeee the weekends almost over and it’s due like tomorrow :(
Similar or Like Terms are two monomials that are exactly alike except for their
numerical coefficients.
True
False
a cellphone company fixed the price of a cellphone as rs4500. a dealer purchased a cell phone on which the paid 12% GST additionally. how much did the dealer paid as GST ? what is the purchase price of cell phone
Answer:
Step-by-step explanation:
Price of cellophone = ₹4500
Gst additionally = 12%
= 12% of ₹4500
= 12/100 * 4500
= ₹12*45
= ₹540
Total = ₹4500 + ₹540
= ₹5040
Answer:
Rs. 5040
Step-by-step explanation:
Price of cellphone=Rs. 4500
Gst additionally=12%
=12% of Rs. 4500
12/100 * 4500
=Rs. 12*45
=Rs.540
=Total=4,500+540
=Rs.5040
Find the coordinate point for A that would make ABDC a rhombus
(2,3)
O (1,3)
O (3,0)
O(4,0)
1,3 is right correct right answer
The coordinate point for A is (1,3) Therefore, option B is the correct answer.
WE know that rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides.
Since a rhombus has all four sides equal just like a square.
Given that, Point C (2, 1), Point B (3,4) and Point D (4,2)
The coordinate point for A that would make ABDC a rhombus.
So, the coordinate point for A is (1,3).
Therefore, option B is the correct answer.
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Need help asap giving 20 points for right answer!!
Answer:
I think it's 600 I think it might be wrong
PLSSS HELPPP!!! GIVING BRANILLYYYY!!!!
Answer:
very last one
Step-by-step explanation:
hope it helps
An investment website can tell what devices are used to access their site. The site managers wonder whether they should enhance the facilities for trading via smartphones so they want to estimate the proportion of users who access the site that way. They draw a random sample of
131
investors from their customers. Suppose that the true proportion of smartphone users is
26
%.
Complete parts a) through c) below.
a) What would the managers expect the shape of the sampling distribution for the sample proportion to be?
Skewed to the left
Unimodal and symmetric
Skewed to the right
Nonsymmetric
b) What would be the mean of this sampling distribution?
(Round to two decimal places as needed.)
c) What would be the standard deviation of the samplingdistribution?
(Round to three decimal places as need
Answer: a) Unimodal and symmetric
b) 0.26
c) 0.038
Step-by-step explanation:
Given: Sample size of investors (n)= 131
True proportion of smartphone users(p) =26%
a) Since sampling distribution for the sample proportion is approximately normal when n is larger.
Normal distribution is Unimodal and symmetric.
So correct option : Unimodal and symmetric
b) mean of this sampling distribution = p = 0.26
c) standard deviation of the samplingdistribution = [tex]\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26\times (1-0.26)}{131}}=\sqrt{0.00146870229008}[/tex]
[tex]=0.0383236518364\approx0.038[/tex]
What civilization found the first known value of pi?.
Answer: The Egyptians, Babylonians, and Archimedes.
Step-by-step explanation: The Egyptians and Babylonians were the first known civilizations to use pi. At the time, Egyptians devised the approximated value of pi as 3.1605. Archimedes, however, did the first calculation of pi, with its approximate value of 3.141592 or 3.14 to make it shorter.
Hopefully, this helps you!
steve was offered $5,025 per year for a weekend lifeguarding job at a local pool he wants to know how much his monthly income will be at this salary level what is his rate of pay in dollars per month
Answer:
418.75
Step-by-step explanation:
5025/12 (12 months in one year)
418.75 or almost 420 dollars a month
to check the answer:
418.75*12
5025
On a map of Texas, the scale listed is 1 in = 32 miles. If the distance from San Antonio to El Paso is 17 inches on a map, how many miles is it?
Answer:
544 miles
Step-by-step explanation:
this problem is a multiplication problem, if one inch is 32 mile, and San Antonio to El Paso is 17 inches you have to multiply 17 and 32 to get 544 miles
Answer:
544 miles
Step-by-step explanation:
Since 1 inch equals 32 miles, [tex]17inches\cdot 32miles=544miles[/tex]
point d is the interior of angleABE and point E is the interior of angleDBC....(press on the picture please) (also i scratched out where i tried to work it out)
Answer:
c)41
Step-by-step explanation:
∠DBE = (∠ABE +∠DBC) -∠ABC
= (74 + 103) -136
= 177 - 136
= 41
The original price of a T-Shirt is $15. The T-Shirt is on sale for 35% off. What is the sale price?
Answer:
9.75$
Step-by-step explanation:
Answer:
9.75$
Step-by-step explanation:
The original price of the shirt is $15, and it's on sale for 35% off. What is the item's sale price?
First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.
Second, find out what 35% of $15 is. This is the amount of the sale discount. This is always found by multiplying 0.350 by the item's cost $15, like this:
0.350 x $15 = $ 5.25.
So for this sale, you'll save $ 5.25 on this item.
This means, the cost of the item to you is
$15 - $ 5.25 = $ 9.75.
Write a equation: Two thirds of a number decreased by the product of a number and two, squared, is 43 (PLEASE ANSWER ASAP )
We can transform the mathematical sentence into the equation:
(2/3)*x - (2*y)^2 = 43
How to write the equation?
Here we have the sentence:
" Two thirds of a number decreased by the product of a number and two, squared, is 43"
First, we can define x as "the number"
Then:
" Two thirds of a number..." is:
(2/3)*x
Now we add the next part:
"... decreased by the product of a number and two, squared, is 43"
Assuming that this is another number, let's call it y, we have:
(2/3)*x - (2*y)^2 = 43
This is our two-variable equation.
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Using the fundamental theorem of algebra how many solutions will the function have, f (x) = 82x^3+ 216
Answer:
The number of solutions is equal to the highest power exponent.
That is a cubic equation, so it has 3 solutions.
Step-by-step explanation:
You buy a football helment signed by Peyton Manning for $110. The value increases 4% each year. What will the value be after 3 years? Round to 2 decimal places.
Answer:
12.12
Step-by-step explanation:
4% of 110 = 4.4
4.4 x 3 = 12.12
Nina’s sister has 386 stickers that she wants to put in a book. Each page can hold 42 stickers. How many pages will she need? Explain your reasoning.
Answer:
10 pages
Step-by-step explanation:
386/42=9.1 pages
but you can not have .1 of a page so you add another page.
Two joggers set out at the same time from their homes 21 miles apart. They agree to meet at a point somewhere in
between in an hour and a half. If the rate of one is 2 mph faster than the rate of the other, find the rate of each
The two joggers who are 21 miles apart travel at a speed 8 mph and 6 mph respectively and would meet after one and half hours.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let a represent the speed of the faster jogger and represent the speed of the other jogger. Hence:
a = b + 2 (1)
Also:
In one and half hour (1.5 h):
a = d₁/1.5
d₁ = 1.5a
b = d₂/1.5
d₂ = 1.5b
d₁+ d₂ = 21
1.5a + 1.5b = 21 (2)
From both equation 1 and 2:
a = 8, b = 6
The speed of the joggers is 8 mph and 6 mph respectively.
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Congruent , connected , or in response ?
Answer:
The answer is congruent
A line is an undefined term because it
A.)contains an infinite number of points
B.)can be used to create other geometric shapes
C.)describes something that does not have width or depth
D.)is a term that does not have a formal definition
Answer:
C
Step-by-step explanation:
The correct option is C because lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Pls rate.........
A line is an undefined term because it describes something that does not have width or depth. thus, option C is correct answer.
Which ray can be said as belonging to a line segment?If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.
(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)
A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
A lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
A line is an undefined term because it describes something that does not have width or depth. thus, option C is correct answer.
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Give two(2)example of the system of linear inequalities in two variables.
Answer: A linear system of two equations with two variables is any system that can be written in the form. ... A solution to a system of equations is a value of x and a value of y that, when substituted into the equations, satisfies both equations at the same time. For the example above x=2 and y=−1 is a solution to the system
Step-by-step explanation:
PLEASE help me with #2 i’m struggling DUE TODAY
The leading brand of lipstick in the US had about 20% of the total sales in the industry. The total sales were $200,000 What was the leading brands sales? Show your work
Answer:
200*20
÷100 ,=100+56
29+63
Step-by-step explanation:
200×20 =40000
40000÷100 =
100