Answer:
107,100
Step-by-step explanation:
[tex]h(t) = 9 {t}^{2} + 900t \\ \\ plug \: t = 70 \\ \\ h(70) = 9 {(70)}^{2} + 900(70) \\ = 9 \times 4900 + 63000 \\ = 44100 + 63000 \\ = 107,100 \: cm[/tex]
A parabola has x-intercepts at x=-3 and x=4. What the equation of the parabola?
Answer:
x² - x - 12 = 0
Step-by-step explanation:
Given the x- intercepts are x = - 3 and x = 4 , then the factors are
(x + 3) and (x - 4)
Expressing as a zero product
(x + 3)(x - 4) = 0 ← expand using FOIL
x² - x - 12 = 0
35\40 = 7\?
a. 5
b. 8
c. 1
d. 4
Answer:
b. 8
Step-by-step explanation:
Simplify the left side by dividing the top and bottom by 5
35/5 = 7
40 /5 = 8
7/8
Hey there!
35/40 = 7/x
Cross Multiply the fraction
35(x) = (7)(40)
→ 35x = 280
DIVIDE 35 to BOTH SIDES
35x/35 = 280/35
CANCEL out: 35/35 because that gives you 1
KEEP: 280/35 because that helps solve for the x-value
→ x = 280/35
x = 8
Therefore, your answer is most likely: 8 (Option B)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah's grandma says if she saves that amount, she will give her an additional $50 each month. What is the recursive sequence formula and first term for Sarah’s savings
A recursive relation is a relation that defines the terms in a sequence with the previous terms.
Here, the recursive relation will be:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
A₁ = $150.
We know that:
Sarah has saved $150 at the moment.
She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300
And if she saves the $300, then her grandma will give her another $50.
Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:
2*A + $50
Then the recursive relation is just:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:
A₁ = $150.
If you want to learn more about recursive relations you can read:
https://brainly.com/question/13143285
x^4 - x^2 - 2x -1 . solve
Answer:
X⁴–X²–2X –1=0
(X²+X+1)(X²–X–1)=0
[tex]x = - \frac{1 - i\sqrt{3} }{2} \\ x = - \frac{ 1 + i \sqrt{3} }{2} [/tex]
[tex]x = \frac{1 + \sqrt{5} }{2} \\ x = \frac{1 - \sqrt{5} }{2} [/tex]
I hope I helped you^_^
QUESTION: Josephine put a frame round his picture which measured 36 cm by 34 cm. A margin 4cm wide was left all the way round. What was the area of the margin ?
(NOTE:SORRY BUT UNFORTUNATELY THERE ISN`T A DIAGRAM)
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
Answer:
Option D, 13.2
Step-by-step explanation:
m = √{7×(18+7)}
= √(7×25)
= 5√7
= 13.2 (rounded to the nearest tenth)
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point 95, 12).
If the coordinates of A and B are (-10, -3) and (7,14), respectively, the x-intercept of CĐ is (blank). The point
(Blank) lies on CD.
Answer:
Hello! the answer is CD is 17,0 (-2,19)
what is |-41 | pls hurry
Answer:
41
Step-by-step explanation:
The absolute value means take the non-negative number
|-41| = 41
Solve the equation.
Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5
Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5
Answer:
- 5
Step-by-step explanation:
Solve for x
4-2(×+7)=3(×+5)
We open the bracket :
4 - 2x - 14 = 3x + 15
Collect like terms
-2x - 3x = 15 + 14 - 4
-5x = 25
Divide both sides by - 5
-5x/-5 = 25 / - 5
x = - 5
Which equation represents a line which is parallel to the line 7y-x=-56
y=-1/7+1
y=1/7x-1
y=7x-4
y=-7x-2
Answer:
The parallel line is y = 1/7 x - 1
hope this helps!
89-x=213 what's the answer?
Answer:
x = -124
Step-by-step explanation:
89-x=213
Subtract 89 from each side
89-x -89=213-89
-x = 124
Multiply each side by -1
x = -124
Step-by-step explanation:
89-x=213
89-213=x
x= -124
hope this helps
find formula of s in terms of a, b, cos(x)
Answer:
[tex]\displaystyle s = \frac{2ab\cos x}{a+b}[/tex]
Step-by-step explanation:
We want to find a formula for s in terms of a, b, and cos(x).
Let the point where s intersects AB be D.
Notice that s bisects ∠C. Then by the Angle Bisector Theorem:
[tex]\displaystyle \frac{a}{BD} = \frac{b}{AD}[/tex]
We can find BD using the Law of Cosines:
[tex]\displaystyle BD^2 = a^2 + s^2 - 2as \cos x[/tex]
Likewise:
[tex]\displaystyle AD^2 = b^2+ s^2 - 2bs \cos x[/tex]
From the first equation, cross-multiply:
[tex]bBD = a AD[/tex]
And square both sides:
[tex]b^2 BD^2 =a^2 AD^2[/tex]
Substitute:
[tex]\displaystyle b^2 \left(a^2 + s^2 - 2as \cos x\right) = a^2 \left(b^2 + s^2 - 2bs \cos x\right)[/tex]
Distribute:
[tex]a^2b^2 + b^2s^2 - 2ab^2 s\cos x = a^2b^2 + a^2s^2 - 2a^2 bs\cos x[/tex]
Simplify:
[tex]b^2 s^2 - 2ab^2 s \cos x = a^2 s^2 - 2a^2 b s \cos x[/tex]
Divide both sides by s (s ≠ 0):
[tex]b^2 s -2ab^2 \cos x = a^2 s - 2a^2 b \cos x[/tex]
Isolate s:
[tex]b^2 s - a^2s = -2a^2 b \cos x + 2ab^2 \cos x[/tex]
Factor:
[tex]\displaystyle s (b^2 - a^2) = 2ab^2 \cos x - 2a^2 b \cos x[/tex]
Therefore:
[tex]\displaystyle s = \frac{2ab^2 \cos x - 2a^2 b \cos x}{b^2- a^2}[/tex]
Factor:
[tex]\displaystyle s = \frac{2ab\cos x(b - a)}{(b-a)(b+a)}[/tex]
Simplify. Therefore:
[tex]\displaystyle s = \frac{2ab\cos x}{a+b}[/tex]
Seena’s mother is 7 times as old as Seena. After 4 years
her mother will be 4 times as old as she will be then .Find
their present ages.
Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.
Solution :✧ Let us assume :
Seena's age be x
Her mother's age be 4x
✧ After 5 years :
Seena's age = x + 5
Her mother's age = 4x + 5
✧ Ratio of age after 5 years :
Seena's mother = 3
Seena's ratio = 1
Hence, the equation is :
[tex] \looparrowright\frak{ \frac{4x + 5}{x + 5} = \frac{3}{1} }[/tex]
By cross multiplying we get
[tex] \looparrowright \frak{3(x + 5) = 4x + 5}[/tex]
[tex] \looparrowright \frak{3x + 15 = 4x + 5}[/tex]
[tex] \looparrowright \frak{x = 10}[/tex]
Hence, the ages are
Seena's age = x = 10 yrs
Her mother's age = 4x = 4 × 10 = 40 years
∴ Seena's age is 10 and her mother's is 40 respectively
From a point on the ground 100m from its base, the angle of elevation of the top of the Burj Khalifa tower in Dubai is 83.1°. Draw a sketch and use it to calculate the height of the tower.
Answer:
Step-by-step explanation:
[tex]tan \ 83.1 = \frac{opposite \ side}{adjacent \ side} = \frac{BC}{100}\\\\8.2635 = \frac{BC}{100}\\\\8.2635*100=BC\\\\826.35 = BC[/tex]
Height of tower = 826.35 m
SEE QUESTION IN IMAGE
Answer:
d) 2y + x = 106Step-by-step explanation:
Mean of the data = sum of the data / number of frequencies:
(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106Correct choice is d
PLEASE HELP!!!!!!!!
Answer: 3
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex] [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]
Help Please I will
Mark brainliest
Answer:
-2
Step-by-step explanation:
The output of the chart and graph drops by 2 for every input.
Which function has a double root of 3 and a double root of -2
On a piece of paper, graph y+ 2[tex]\leq[/tex] 1/4 x-1. Then determine which answer choice matches the graph you drew.
Answer:
Graph A
Step-by-step explanation:
Which of the r-values satisfy the following inequality?
r/3 + 5 <_ 9
Choose all answers that apply:
Answer:
9
Step-by-step explanation:
r/3 +5 ≤ 8
Subtract 5 from each side
r/3 +5 -5≤ 8-5
r/3 ≤ 3
Multiply each side by 3
r/3 *3 ≤ 3*3
r ≤ 9
The only value that is less than or equal to 9 is 9
GEOEMTRY- PLEASE HELP , solve for x
Answer:
[tex]17x-23=1/2\times81[/tex]
[tex]17x-23=40.5[/tex]
[tex]17x=40.5+23[/tex]
[tex]17x=63.5[/tex]
[tex]x=63.5/17[/tex]
[tex]x=3.73[/tex]
OAmalOHopeO
pls help me asap!!!!!!
Someone help me out please
Answer:
254.5
Step-by-step explanation:
Area = πr²
= π×9²
= 81π
= 254.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
(8-16) + (8 + 6)
If the parentheses are removed from the above
expression, how will the value of the expression
change?
A. no change
B. increase of 3
C. increase of 7
D. increase of 12
E. increase of 16
Step-by-step explanation:
Right now, we would solve everything within the parenthesis first.
(8 - 16) + (8 + 6)
(-8) + (14)
14 - 8
6
But if we remove the parenthesis, it doesn't matter what order we do things in.
8 - 16 + 8 + 6
8 + 8 - 16 + 6
16 - 16 + 6
6
The reason why both of these are the same, is because the only calculations we're doing are addition and subtraction, which don't care about parenthesis.
Answer:
A
Jamal uses factoring to find the zeros of the equation x2+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
Which statement BEST explains whether Jamal is correct or incorrect?
A
Jamal is correct because x2+4x−32 is equivalent to (x+4)(x−8).
B
Jamal is correct because x2+4x−32 is equivalent to (x−4)(x+8).
C
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8).
D
Jamal is incorrect because x2+4x−32 is equivalent to (x+4)(x−8).
Answer:
c)
Step-by-step explanation:
x^2+4x-32 = (x-4)(x+8)
hence,
(x-4)(x+8) = 0
x = 4 or x = -8
the graph intersects at 4 not -4
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0
Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
prove that...sin^4α+sin^2αcos^2α=sin^2α
Answer:
Note that LHS means left-hand side and RHS means right-hand side.
Step-by-step explanation:
LHS = sin⁴a + sin²a cos²a
= sin²a (sin²a + cos²a)
At this point, you can use the identity sin²a + cos²a = 1,
= sin²a (1)
= sin²a
= RHS (Proved)
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol{} \sin^4a+\sin^2a \cos^2a=\sin^2a \\\\\sin^2a(\underbrace{\sin^2a+\cos^2a}_1) =\sin^2a \\\\\sin^2a\cdot 1=\sin^2a \\\\\sin^2a=\sin^2a[/tex]
How do I solve this
Answer:
x = -1 y = 3
Step-by-step explanation:
x = 2y-7
2x + 3y = 7
Substitute x =2y-7 in 2y + 3y = 7
2(2y-7) + 3y = 7
4y-14+3y = 7
7y - 14 = 7
7y = 7 + 14
7y = 21
7y/7 = 21/7
y = 3
Substitute 3 for y in x = 2y-7
x = 2(3) - 7
x = 6 -7
x = -1
Answered by Gauthmath
Anyone who can help me with this?
Answer:
C
Step-by-step explanation:
We know that the first integer will be "l" so the second will be l + 1, third will be l + 2, fourth will be l + 3, and the fifth will be l + 4. The question says "the greatest is g" so that means that the fifth integer is the greatest meaning that is the value of g. Now that we know the value of g, we can substitute it into the equation they gave us and simplify.
l+(l+4)/2
2l+4/2
l + 2
Best of Luck!
Answer:
C
Step-by-step explanation:
say your 5 consecutive numbers are 6-10
if 6 is l and 10 is g then
6+10 over 2 equals 8
this proves that l+2 is correct since 6+2=8
given m||n, find the value of x
Step-by-step explanation:
3x+5+x-25=180°
4x=180°+20
x=50
Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.
Knowing this, we can add the two angles together and they should equal 180:
(3x + 5) + (x - 25) = 180
4x - 20 = 160
4x = 160
x = 40
If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.
i am a decimal with 2 decimal places round me to the nearest tenth and I will be 7.6 What are the decimals that i might be?
Answer:
The answer is below
Step-by-step explanation:
There are multiply answers, I am pretty these are the answers
7.55
7.56
7.57
7.58
7.59
Step-by-step explanation:
The decimal can be from 7.55-7.64
When the range of the decimal is from 1-4, 5-9 during rounding it then the value will change to 7.6
Like 7.64, 7.63,7.62,7.61 will be rounded off to 7.6
And 7.55,7.56,7.57,7.58,7.59 will be rounded off to 7.6 too
please click thanks and mark brainliest if you like :)