Answer:
10
Step-by-step explanation:
3(4) -2 = 12 - 2 = 10
A person standing on a second floor balcony drops keys to a friend standing below the balcony. The keys are dropped from a height of 10 feet. The height in feet of the keys as they fall is given by the functionh(t)=−16t2+10, where t is the time in seconds since the keys were dropped.
The friend catches the keys at a height of 4 feet. Find the elapsed time before the keys are caught.
Answer:
sqrt(3/8) = t
.61237 = t
Step-by-step explanation:
h(t)=−16t^2+10
Let h(t) = 4
4 =−16t^2+10
Subtract 10 from each side
4-10 =−16t^2+10-10
-6 = -16 t^2
Divide by -16
-6/-16 = t^2
3/8 = t^2
Take the square root of each side
sqrt(3/8) = sqrt(t^2)
sqrt(3/8) = t
.61237 = t
We only take the positive since time is not negative
Solve the givin proportions
Answer:
x=(6×6)/9=4
just cross multiply and get your answer
Answer:
x=4
Step-by-step explanation:
Step 1
Represent the ratios as fractions
6/9=x/6
Step 2
Cross-multiply the numerators and denominators
9x=6×6
9x=36
9x/9=36/9
Therefore x=4
can someone help me with this
Answer:
Step-by-step explanation:
a) -14 , -9 , -4 , 1 ................
Common difference = d = 2nd term - 1st term
= -9-[-14]
= -9 + 14
d = 5
The next term can be got by adding 5 to the previous term
5th term = 1 + 5 = 6
6th term = 6 + 5 = 11
7th term = 11 + 5 = 16
Next 3 terms are : 6 , 11 , 16
[tex]b) \frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3},.....\\\\d = \frac{2}{3}-\frac{5}{6}\\\\=\frac{2*2}{3*2}-\frac{5}{6}\\\\=\frac{4}{6}-\frac{5}{6}\\\\=\frac{-1}{6}\\\\a_{5} = \frac{1}{3}+\frac{-1}{6}=\frac{1*2}{3*2}+\frac{-1}{6}=\frac{2}{6}+\frac{-1}{6}=\frac{1}{6}\\\\a_{6}=\frac{1}{6}+\frac{-1}{6}=0\\\\a_{7}=0+\frac{-1}{6}=\frac{-1}{6}\\\\\\Next 3 terms : \frac{1}{6},0,\frac{-1}{6}[/tex]
Not super urgent but need this simplified..
Answer:
bottom ans , because a⁶+a¹ = a⁷
also (•) this symbols related to x (times/multiply) and x is consider as +
which of the following numbers must be added to complete the square in the equation below x^2+16x=5
Answer:
8
Step-by-step explanation:
I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!
If Devon took 20 min to drive 24 km, what was his R.O.C.? Answer in decimals.
Answer:
1.2 km/min
Step-by-step explanation:
ROC? rate of change? if not rate of change than my answer may not be correct
24km/20min = 1.2 km/min
24km/20min * 60min/1 hr= (24*60)/20=120 km/hr
Model 3: Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region. Again, using the center of the half-circle as the origin, the struts are modeled by the equations and . A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. 8. Algebraically determine the x -value of where the beam should be placed. (15 points) 9. Explain where to place the beam. (10 points)
Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
According to the Question,
Given That, Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region.Again, using the center of the half-circle as the origin, the struts are modeled by the equations y=x+8 and y=x-4. A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
thus, √(x + 8) − √(x − 4) = 2
on Solving we get,
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
What is the slope-intercept form of the equation representing this function?
Answer:
y = 3x - 7
Step-by-step explanation:
The line rises 3 in y for every run of 1 in x
slope = 3
The y-intercept
is -7
Therefor
y = 3x - 7
Name the marked angle in 2 different ways.
1) Angle EGF
2) Angle FGE
1.
Write the following to 3.s.f
(a) 2172
(b) 2.066
(c)0.030111
Jasmine bought a 2-liter bottle of soda. How many milliliters of soda were in the bottle?
A milliliter is 1/1,000 of a liter. This means there is 1,000 milliliters per liter.
2 liters x 1,000 milliliters per liter = 2,000 total milliliters.
Answer: 2,000
Liz and erin are different ages but eat from the same size of bowl. Liz ate 4 servings of cereal. Each serving was 1/3 of a bowl. Erin ate 3 servings of cereal. Each serving was 2/3 of a bowl. Who ate more bowls of cereal?
Use similar triangles to find the value of x and y
Answer:
x = 12
y = 9.6
Step-by-step explanation:
Using ratios
5 10
--- = -----
6 x
Using cross products
5x = 6*10
5x = 60
Divide by 5
5x/5 = 60/5
x = 12
5 8
--- = -----
6 y
Using cross products
5y = 6*8
5y = 48
Divide by 5
5y/5 = 48/5
y = 9.6
Answer:
the other guy/ girl is correct!
Step-by-step explanation:
i'm doing practice problems by solving unsolved similarity math problems on brainly. his/her answers is correct!
What is the same as 3(4 + 5 + 6)?
Answer:
45Step-by-step explanation:
3(4 + 5 + 6)
= 3(15)
= 3 × 15
= 45 (Ans)
express 96 as the product of prime factors
need it asap
plzz write the method too
Given:
The given number is:
[tex]96[/tex]
To find:
The product of prime factors of given number.
Solution:
We have,
[tex]96[/tex]
The prime factors of given number are:
2 | 96
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
So, 96 can be written as:
[tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex]
Therefore, the 96 as the product of prime factors is [tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex].
need some help with these 2 questions
Answer:
hear is your answer please mark as brain list
Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!!
Answer:
C. ASA
Step-by-step explanation:
The details of the given parameters are;
Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,
Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF
Side [tex]\overline{BC}[/tex] of ΔABC is congruent to side [tex]\overline {EF}[/tex] of triangle ΔDEF
Two angles (∠B and ∠C) and the included side (side [tex]\overline{BC}[/tex]) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side [tex]\overline {EF}[/tex]) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency
Angelica and Diego collect Pokémon cards. Angelica has
four more cards than Diego does. Together, they have 18 in total. How many cards does Angelica have?
Answer:
40Step-by-step explanation:
because 18 + 18 =36 +4=40plese follow meFind the value of x if necessary you may learn what the marking on a figure indicate
Answer:
Step-by-step explanation:
Which function is positive for the entire interval [–3, –2]?
On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).
On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).
On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Answer:
B
Step-by-step explanation:
Based on the given information, option 4 seems to be the most likely candidate to be positive for the entire interval [-3, -2]. Correct option is 4.
To determine which function is positive for the entire interval [-3, -2], we need to look for the part of the curve that lies above the x-axis within this interval.
The curve has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0), which means it goes below the x-axis in the interval [-3, -2]. So, this option is not positive for the entire interval.
The curve has a minimum value of (2, -3) and crosses the x-axis at (-1, 0) and (5, 0). Since it crosses the x-axis at -1 which is outside the interval [-3, -2], this option is not positive for the entire interval.
The curve has a minimum value of (2, 4) and a maximum value of (0.5, 6). Since the minimum value is above the x-axis, this option is not positive for the entire interval.
The curve has a minimum value of (-1.75, -3.9) and a maximum value of (0, 2). It also crosses the x-axis at (-2.2, 0), (-0.75, 0), and (0.75, 0). Since the minimum value is above the x-axis, and all the points where it crosses the x-axis are outside the interval [-3, -2], this option could potentially be positive for the entire interval.
To know more about interval:
https://brainly.com/question/34520204
#SPJ3
help me complete it fast pls
Answer:
AC < AB
Step-by-step explanation:
We can see just by looking at it, they are not the same length.
What is the greatest common factor of 4xy2 and 20x2y4?
Answer:
4xy^2
Step-by-step explanation
i got it right in a quiz
Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9
Part A: Solve by graphing.
Part B: Solve by substitution.
Part C: Solve by elimination.
Describe the process and steps you used to solve each method.
Answer:
Step-by-step explanation:
you do part a
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
b
Divide equation 2 by 3
x-y=3
add y to both sides
x=3+y
Sbustitute this into equation 1
4(3+y)=2
12+4y+y=2
5y= -10
y= -2
Plug this into equation 1
4x-2=2
x=1
Part c.
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
divide equation 2 by 3
x-y=3
add the two equations
(x-y)+(4x+y)=2+3
5x=5
x=1
Plug this into equation 1
4(1)+y=2
4+y=2
y= -2
For part a just create a table and graph it
sin(A+B-C) find the equation
Answer:
[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]
Step-by-step explanation:
Given:
Sin (A + B - C)
Find;
Expansion of given expression
Computation:
Sin (A + B - C)
Sin [(A + B) - C]
Sin(A + B)CosC - Cos(A + B)SinC
[SInACosB + CosASinB]CosC - [CosACosB - SinASinB]SinC
SInACosBCosC + CosASinBCosC - CosACosBSinC - SinASinBSinC
[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]
The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
approximation for the number of students who scored 79 or better?
Answer:
the number of student that took the test is missing
I think it is 100?
79 is 1 sigms (1 standard deviation) above the mean....
1 sd is 84% ... 16% are above the 79
multiply the students that took the test by .16
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 159. i just took the test and got it right
Find the cube root of 512
Answer:
[tex]\sqrt[3]{512} = 8[/tex]
Step-by-step explanation:
[tex]\sqrt[n]{x} = x^ {\frac{1}{n}}[/tex]
[tex]\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8[/tex]
solve for x, show work please! 25 points.
Answer:
C
Step-by-step explanation:
8x + 2 = 7x + 8
<=> 8x - 7x = -2 + 8
<=> x = 6
Answer:
Option CStep-by-step explanation:
Here,
8x + 2 = 7x +8 [Since Alternate interior angle]
=> 8x - 7x = 8 - 2
=> x = 6 (Ans) (Option C)
On Saturdays, Jorge coaches soccer for 1/12 of the day. He also coaches tennis and swimming, each for the same amount of time as soccer. What fraction of the day does Jorge spend coaching on Saturdays.
Answer:
3/12 or SIMPLIFIED = 1/4
Step-by-step explanation:
If he spends 1/12 of the day on soccer and he does tennis and swimming for the same amount of time that is just 1/12 +1/12+1/12=3/12 because each 1/12 is for each activity. So you answer (simplified) is 1/4
Answers all questions correctly and show all work
1 . J + -2 = -22
2 . b - 19 = -11
3 . Y/7 = - 7
4 . -10 = -2y
Answer:
J = - 20
b = 8
Y = - 49
y = 5
Step-by-step explanation:
j + - 2 = - 22
j - 2 + 2 = - 22 + 2
j = - 20
------------------------------
b - 19 = - 11
b - 19 + 19 = - 11 + 19
b = 8
---------------------------------
y ÷ 7 = - 7
y ÷ 7 × 7 = - 7 × 7
y = - 49
------------------------------
- 10 = - 2y
- 2y = - 10
- 2y ÷ - 2 = - 10 ÷ - 2
y = 5
Sum of cubes:
(a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes:
(a – b)(a2 + ab + b2) = a3 – b3
Which products result in a sum or difference of cubes? Check all that apply.
(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)
Answer:
C and E
Step-by-step explanation:
Answer:
3 and 5
Step-by-step explanation:
The solution of this problem is in this picture.