Answer:
(3x - 5)²
Step-by-step explanation:
When we expand (3x - 5)², we get:
(3x - 5) (3x - 5)
When we multiply, we get:
9x² - 30x + 25
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Have a great summer :)
Answer:(3x-5)(3x-5)
Step-by-step explanation: it's the answer for
a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.
Answer:
Max
Step-by-step explanation:
the function given that h = -16t³+64t+10
the general function Equation:
h = at²+bt+c
=> t at the highest point is defined by t = -b/2a
= -64/2(-16) = -64/-32 = 2 second
the total times that the ball hits the ground
= 2× 2 seconds = 4 seconds.
so, Max is right
Answer:
Solution given:
Let h=0=when the ball hit the ground,the height=0.
h= -16t^2 + 64t + 10.
0=16t²-64t-10
8t²-32t-5=0
∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]
taking positive
t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]
t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]
So
t=4.15seconds closer to 4seconds.So
Max is closer.
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Answer:
A. 7 + 4i
Step-by-step explanation:
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Writing as a complex number, we find the square root of -16 + 49
Hence:
√ -16 + 49 = √-16 + √49
= 4i + 7
Rearranging
= 7 + 4i
Therefore, the correct option is A. 7 + 4i
URGENT: Graph y = cosx for -3\pi/2 <= x <= -pi/2
What is the largest value in the range?
A. -1
B. 0
C. 1/2
D. 1
Someone pls help me pls!
Answer:
[tex]y=\sqrt{x-5}[/tex]
Step-by-step explanation:
Answer:
The answer is [tex]y=\sqrt{x-5}[/tex].
Step-by-step explanation:
To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].
Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,
To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].
To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
x=7.8
Step-by-step explanation:
take 49 degree as reference angle
using cos rule
cos 49=adjacent/hypotenuse
0.65=x/12
0.65*12=x
7.8=x
Answer:
x=7.8
Step-by-step explanation:
Step-by-step explanation:
take 49 degree as reference angle
using cos rule
cos 49=adjacent/hypotenuse
0.65=x/12
0.65*12=x
7.8=x
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.
Answer:
40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28
Step-by-step explanation:
multiple the price by 1.40
hopefully this helped :)
Answer:
$28
Step-by-step explanation:
We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.
40/100 = 0.4.
Next, we multiply 20 by 0.4 to find the extra price:
20 * 0.4 = 8
So, the answer is 20 + 8 = $28
We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28
Hope this answer helps you :)
Have a great day
Mark brainliest
I need help on this.
Answer:
i dont know how to answer this...
Step-by-step work-<3
For Circle A, if the measure of BDC=20 and the measure of BDC=4x-12, then what is the value of X??
1 of 5
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many
students are girls?
Answer:
15 girls
Step-by-step explanation:
[tex]\frac{4}{3}[/tex] has 7 per "unit group" 35/7 = 5
so the ratio would be [tex]\frac{20}{15}[/tex]
the question states ratio is [tex]\frac{boys}{girls}[/tex]
thus 20 boys , and 15 girls
Help plsss 10 points
Answer for points
3(3x3)(45x6)(45x7)(56x5)(5x5)x0
Answer:
0
Step-by-step explanation:
3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0
Mía ha comprado un terreno en el emporio de Gamarra.
Si desea destinar la mayor superficie rectangular posible del terreno para colocar su maquinaria, ¿cuánto mide la superficie del terreno que queda disponible para otros ambientes?
Un reto para obtener el Logro destacado:
Mía desea comprar un segundo terreno, esta vez de forma rectangular, cuya área sea de 650 m2 y para ello evalúa las posibles dimensiones que puede tener dicho terreno. Si quiere gastar lo menos posible en cercar el terreno, ¿cuáles deben ser sus dimensiones? (Considera como medida de las dimensiones solo números enteros) (Cercar es rodear un terreno, con una cerca, valla, muro, etc., para delimitarlo.)
Answer:
mkana
Step-by-step explanation:
Amy is 8 years older than Ben. I’m 5 years time, she will be twice Ben’s age. How old is she right now?
The polynomial, −4x2+5 , is considered by classification to be a
Answer:
here u go
Step-by-step explanation:
binomial
A club with 13 members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
Answer:
njj
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Answer:
The last digit is 2
Step-by-step explanation:
I just plugged in different digits as the end of 41875 and divided by 18.
Entered in 418750. Got a decimal.
Entered in 418751 and divided by 18. Got a decimal.
Entered in 418752 and divided by 18. Got 23,264.
Entered in 418753 and divided by 18. Got a decimal.
Entered in 418754 and divided by 18, got a decimal.
418755, decimal
418756, decimal
418757, decimal
418758, decimal
418759, decimal
Look at the attached screenshot.
Answer:
yes...
Step-by-step explanation:
Use the following list of balances for Paul's Guitar Shop to answer the following question. Guitar Sales 24,800, Depreciation expense 2,000, Wage expense 10,950, Rent 500, Music Lesson Revenue 3,000, Interest expense 500, Supplies expense 500, Utilities expense 400. What is the TOTAL value of EXPENSES? *
Answer:
The Total Value of Expenses is $14,350
Step-by-step explanation:
AMOUNT
Depreciation Expense $ 2,000
Wage Expense $ 10,950
Interest Expense $ 500
Supplies Expense $ 500
Utility Expense $ 400
TOTAL $ 14,350
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while point E is the point of intersection between segment AG and segment DF.
Prove ΔABC ∼ ΔGEF.
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE[/tex]
By vertical angles:
[tex]\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB[/tex]
Hence, by substitution:
[tex]\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB[/tex]
Then by Angle-Angle Similarity:
[tex]\Delta ABC \sim \Delta GEF[/tex]
statement of pythagoras theorm no need proof only statement plz need fast
Answer:
Pythagoras Theorem: It is a basic relation in Euclidean geometry among the sides of a right-angled triangle. Pythagoras Theorem is commonly used to find the length of an unknown side in a right-angled triangle. It describes the interrelationship between the base, perpendicular and hypotenuse of a right-angled triangle. The converse of Pythagoras Theorem is used to check whether a triangle is a right-angled triangle or not
Step-by-step explanation:
Statement of Pythagoras Theorem
The Pythagoras Theorem states that in a right-angled triangle the sum of square of the base and square of the perpendicular is equal to the square of the hypotenuse.
Pythagorean theorem
In the right angled triangle there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem. this theorem States the square on the hypotenuse of a right angle triangle is equal to the sum of the squares on the remaining two sides.
Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%
Answer:
Amount of simple interest in three year = 750
Step-by-step explanation:
Given:
Amount invested = 5,000
Number of year = 3 year
Rate of interest = 5% Annually
Find:
Amount of simple interest in three year
Computation:
Simple interest = (P){R)(T)
Amount of simple interest in three year = (5,000)(3)(5%)
Amount of simple interest in three year = (5,000)(3)(0.05)
Amount of simple interest in three year = (5,000)(0.15)
Amount of simple interest in three year = 750
Please help me solve this!!
Answer:
x=10,6
Step-by-step explanation:
The wheels on jason's dirt bike messure 19 inches in diameter. How many revolutions will the wheels make when jason rides for 500 ft? Use 3.14 for pi. Round to the nearest whole number.
========================================================
Explanation:
C = circumference
C = pi*d
C = 3.14*19
C = 59.66
The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.
Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x
59.66x = 6000
x = 6000/59.66
x = 100.569896077774
x = 101
After 101 revolutions, Jason has traveled about 500 ft.
Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.
And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.
Simplify the expression. (–8.6)0
1
–1
–8.6
0
Answer:
(-8.6)0
= 0
explanation:
A recipe for slime calls for 1/4
cup water and 1/3
cup glue. What is the total
amount of liquid needed for the recipe?
Answer:
7/12
Step-by-step explanation:
12 is they're denominators GCF so we we multiply 1/4 by 3 to get 3/12 and 1/3 by 4 to get 4/12.
3/12+4/12=7/12
Hope this helps! :)
A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins. Find the experimental probability of landing on each color. Enter your answers as simplified fractions.
Red: 13
Yellow: 19
Blue: 9
The probability of landing on red is...
The probability of landing on yellow is...
The probability of landing on blue is...
Answer:
Red: 13/41
Yellow: 19/41
Blue: 9/41
when a tank is 20% empty, it has 24 more liters of gas that is does when it is 20% full. How many liters of gas could a tank hold if it is full
full answers please no fake answers if answer correctly i will give you brainlist
Answer:
40 L
Step-by-step explanation:
20% empty is the same as 80%full
.8f = .2f + 24
subtract .2f from both sides
.6f = 24
divide both sides by .6
f = 40
Pls I need help with this
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
One of the solutions to the equation x² - 5x-24 = 0 is 8. What is the other solution?
Answer:
-3
Step-by-step explanation:
This is a quadratic equation. Therefore, one way we can solve this is by using the quadratic formula, [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].
a, b, and c represent the coefficients in our equation [tex]x^2-5x-24=0[/tex]. a represents the coefficient of the term with degree of 2, which is 1. b represents the coefficient of the term with degree of 1, which is -5. c represents the coefficient of the term with degree of 0, which is -24.
Let us plug them in the equation! Let us start with this one: [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{5+\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5+\sqrt{25+96} }{2} =\\\frac{5+\sqrt{121} }{2} =\\\frac{5+11}{2} =\\\frac{16}{2} =\\8[/tex]
Oops! We are looking for the other solution. Let us plug in the values in this equation instead: [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{5-\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5-\sqrt{25+96} }{2} =\\\frac{5-\sqrt{121} }{2} =\\\frac{5-11}{2} =\\\frac{-6}{2} =\\-3[/tex]
I hope this helps! Let me know if you have any questions :)
A curve is given by the parametric equations x = cos 2t * a * n * d * y = sin t , then the cartesian equation of the curve is given by: a x = y ^ 2 + 1; y ^ 2 = (1 - x)/2; x ^ 2 + y ^ 2 = 1; x ^ 2 = (1 - y)/2; y ^ 2 = x + 1 d e
Answer:
Y² = (1-X) / 2
Step-by-step explanation:
According To The Question, We Have
X= Cos2t & Y= Sint
the cartesian equation of the curve is given by Y² = (1-X) / 2 .
Proof, Put The Value of X & Y in Cartesian Equation, We get
Sin²t = {1-(1-2×Sin²t)} / 2 [∴ Cos2t = 1 - 2×Sin²t]
Taking R.H.S
(1-1+2×Sin²t)/22Sin²t/2 ⇔ Sin²t = L.H.S (Hence Proved)