Answer:
19-13=4
Step-by-step explanation:
subtract the smallest number but the biggest and there's your answer
A missile is fired such that its height above the ground is given by h=-9.8t^2+38.2t+6.5, where t represents the number of seconds since the rocket was fired. Using the quadratic formula, determine, to the nearest tenth of a second, when the rocket will hit the ground.
Please I need help with this question
Answer:
4.1 sec
Step-by-step explanation:
-9.8t^2 +38.2t + 6.5 = 0
t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]
= [tex]\frac{-79.6}{-19.6}[/tex]
= 4.1
The rocket will hit the ground at 0.2 seconds
FunctionThe function is given as:
[tex]h=-9.8t^2+38.2t+6.5[/tex]
When the missile hits the ground, the value of height is 0
This means that:
[tex]h = 0[/tex]
So, we have:
[tex]-9.8t^2+38.2t+6.5 = 0[/tex]
GraphNext, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
From the attached graph, we have:
[tex]t = (0.163, -4.061)[/tex]
Approximate
[tex]t = (0.2, -4.1)[/tex]
Time cannot be negative.
So, we have:
[tex]t = 0.2[/tex]
Hence, the rocket will hit the ground at 0.2 seconds
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A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its
faces?
Given:
The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
[tex]V=(side)^3[/tex]
[tex]V=a^3[/tex]
It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
[tex]a^3=\dfrac{1}{8}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{1}{2}[/tex]
Now, the perimeter of each face of a cube is:
[tex]P=4a[/tex]
Where, a is the side length of the cube.
Putting [tex]a=\dfrac{1}{2}[/tex], we get
[tex]P=4\times \dfrac{1}{2}[/tex]
[tex]P=2[/tex]
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer: It's 2 meters
Stephanie borrowed $4,500 at a simple interest rate of 3.5% to buy a motorcycle. How much interest did she have to pay if the loan was taken out for 3 years?
C
Step-by-step explanation:
hope this helps
Need help!! please/Thank you
Answer:
[tex]50~in[/tex]
Step-by-step explanation:
[tex]perimter=AB+AM+BM[/tex]
[tex]AM=2EM=2(9in)=18in[/tex]
[tex]BM=25E=2(7in)=14in[/tex]
∠m= [tex]180-[/tex] (∠A+∠B)= 180-(70+40)
∠m= 70⇒ AB= AM⇒AB=18
[tex]perimeter=18+14+18=[/tex]
[tex]50~in[/tex]
--------------------------
hope it helps...
have a great day!!
Answer:
your answer will be 50 in
Step-by-step explanation:
jorge scored 4 out of 5 on a test. jane scored 8 out of 10 on a test. did Jorge and jane get equivalent scores
The zoo charges $4 admission fee
along with a $2 charge for each
exhibit you visit. what is the initial value, rate of change, and table values
Answer:
Intial Value; $4 (charged)
Rate of change: $2 every exhibit visited
Admission: $4
1 exhibit visited: $6
2 exhibits visited: $8
3 exhibits visited: $10
4 exhibits visited: $12
5 exhibits visited: $14
6 exhibits visited: $16
7 exhibits visited: $18
8 exhibits visited: $20
etc.
Step-by-step explanation:
4+2x = C
C= Cost
X = amount of exhibits visited
To find the total cost.
HELP0ppppppppppppppp
Answer:
C)
Step-by-step explanation:
in order to understand which triangle would lie on the given line we should figure out the slope of the given line first
remember that,
[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]
from the graph let's take two points where the line passes i.e (0,0) and (4,6)
substitute:
[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]
simplify substraction:
[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]
reduce fraction:
[tex] \displaystyle m = \frac{3}{ 2} [/tex]
now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle
[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]
reduce fraction:
[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]
since the tan ratio of the third triangle equal to the slope of the line
hence, our answer is c
Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.
Answer:
Proved , since LHS= RHS
Step-by-step explanation:
We need to prove the given expression ,
=> 1 + cos x / 1 + sec x = cos x
Simplifying LHS.=> 1 + cos (x) / 1 + sec (x)
=> 1 + cos (x) / 1 + 1/cos (x)
=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)
=> 1 + cos (x) × cos(x) / { 1 + cos (x) }
1 + cos (x) gets cancelled . So we are finally left out with ,=> cos (x)
= RHS
Hence proved !Please answer quickly. I need help bad
The equation y-3=-2(x+1) represents a line. Which best describes the line?
A. slope: 4, passes through (1, -2)
B. slope: -2, passes through (-1,3)
C. slope 2, passes through (-3, 1)
D. slope 4. passes through (2, -1)
Answer:
B
Step-by-step explanation:
Sarah has 11 ¼ lb of dry dog food. She will put an equal amount of food into 3 containers. How much food will be in each container?
Answer:
3 3/4 lb
Step-by-step explanation:
11 ¼ lb ÷ 3
11 ¼ lb x [tex]\frac{1}{3}[/tex]
convert 11 ¼ lb to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{45}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{15}{4}[/tex] = 3 3/4 lb
Henry takes out a $20,250 student loan to pay for college tuition this year. The interest rate he pays is 6% for 15 years. How much interest will he owe?
Answer:
$1215 x 15 = $18225 This is over 15 years.
Which statement is true about the factorization of 30x2 + 40xy + 51y2?
O The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
O The polynomial can be rewritten as the product of a trinomial and xy.
The greatest common factor of the polynomial is 51x?y2.
The greatest common factor of the terms is 1.
Answer:
The Answer Is That "The Greatest Common Factor Of The Terms Is 1."
Step-by-step explanation:
Took The Test.
The polynomial is factorized and greatest common factor of the terms is 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = 30x² + 40xy + 51y² be equation (1)
Now , the expression can be factorized as
The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30
The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40
The factors of 51 = 1 , 17 , 51
Therefore , the greatest common factor is 1
Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²
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Find k and y when x = 1.5, if y varies directly as x and y = -16 when x = 6
Answer:
k = -8/3
y = -4 when x = 3/2
Step-by-step explanation:
-16 = 6k
k = -16/6 or -8/3
y = -8/3(3/2)
y = -4
HELPPPPPPPPPPPPPPPPPPP
Answer:
-31
Step-by-step explanation:
8 - ( -5 * - 3 - 1) ÷ 2 - (6)² + 4
8 - (15 - 1) ÷ 2 - 36 + 4
8 - (14) ÷ 2 - 36 + 4
8 - 7 - 36 +4
1 - 36 + 4
-35 + 4 = -31
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
can someone help me
i believe the equation would be: [tex]3+\frac{1}{4} c=9[/tex] and there would be 24 pieces of cake! <3
p and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .
On what interval must x fall?
a) [−4/3, −60/47]
b) [-2, −4/3]
c) [−2, [infinity])
d) (−[infinity], −4/3)
Please Help!!
Answer: (b)
Step-by-step explanation:
Given
[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]
[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]
[tex]\left | p+q\right |=2x+4[/tex]
for two complex number, [tex]z_1,z_2[/tex]
[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]
Apply the above the property
[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]
Also, the absolute value of each complex number must be greater than or equal to zero
[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]
Taking the intersection of the above values of x, we get
[tex]x\in [-2,-\dfrac{4}{3}][/tex]
Someone please help with this question I need an answer no longer than 5 minutes
NO LINKS
Answer:
radius: 8.4 Area: 221.5
Step-by-step explanation:
16.8 divided by 2 = 8.4
The Formula for finding the area of circle= R₂ (radius squared: radius times itself) Multiplied by pi. pi = 3.14
8.4₂ multiplied by 3.14
What is the appropriate equation used that would solve for x
Answer:
E) 6x - 10 = 4x + 20
Step-by-step explanation:
In this type of picture, the opposite angles are congruent (they equal the same)
So the right equation would be 6x - 10 = 4x + 20, or E
Solve for x, rounding to the nearest hundredth.
98: 10
588
HELP YA SISTER OUT PLS!!!!
Answer:
98:100
588:600
Step-by-step explanatin
Help pls this is late n no links
At a coffee shop, the first 100 customers'
orders were as follows.
Large
Small
Medium
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Answer:
Step-by-step explanation:
out of 100 total drinks
find large cold which looks like 8 of those were ordered.
8/100
or 2/25 = .08 or 8% chance
What is the center and radius of the following
circle:
(x +4)2 + (-2) = 4?
Answer:
x = -1
Step-by-step explanation:
Answer:
That is not a circle; it has no y term
My guess:
center = (h, k) = (-4, 2)
r = √4 = 2
Step-by-step explanation:
If I had to guess what you intended:
(x + 4)² + (y - 2)² = 4
The standard equation for a circle is
(x - h)² + (y - k)² = r²
(h, k) is the center and r is the radius
center = (h, k) = (-4, 2)
r = √4 = 2
The mean absolute deviation is 46,54,43,57,50,62,78,42
The mean absolute deviation (MAD) of the given set of numbers is 8.75.
What is the mean absolute deviation (MAD)?The mean absolute deviation (MAD) of a group of data points is a statistical metric used to evaluate its dispersion or variability. It indicates how far off the data values are from the mean (average) of the data collection.
Let's calculate the MAD for the given set of numbers: 46, 54, 43, 57, 50, 62, 78, 42.
Calculate the mean:
Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8 = 432 / 8 = 54
Find the absolute difference between each number and the mean:
|46 - 54| = 8
|54 - 54| = 0
|43 - 54| = 11
|57 - 54| = 3
|50 - 54| = 4
|62 - 54| = 8
|78 - 54| = 24
|42 - 54| = 12
Calculate the average of these absolute differences:
MAD = (8 + 0 + 11 + 3 + 4 + 8 + 24 + 12) / 8 = 70 / 8 = 8.75
Therefore, the mean absolute deviation (MAD) of the given set of numbers is 8.75.
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Jane found 5 seashells on the beach. Ruby found twice as many as Jane. How many shells did they find together?
Answer:
They found 15 shells
Step-by-step explanation:
First, multiply. 5 × 2 = 10
Then, add. 5 + 10 = 15
Lastly, have a great day!
What is the value of the expression?
5 (3+4)
A 19
B) 35
C 12
D) 60
Answer:
B (35)
Step-by-step explanation:
5 * 3 = 15
5 * 4 = 20
20+15= 35
Answer:
B) 35
Step-by-step explanation:
Solve the equations inside the parenthesis first
so 3 + 4 = 7
now multiply 7 x 5 = 35
which answer is correct
Answer:
From top to bottom: 1,3,4
**PLEASE HELP**
Solve the following equation for g: 2(9 - h) = b + 4
x+5 I'll give brainiest
Answer:
X + 5 = X + 5
Step-by-step explanation:
The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.
6) x is less than or equal to 7
What is the mean of the distribution
the awnser is 799 by 983
Step-by-step explanation:
Worth lots of points :) Find the area of the parallelogram below.
23.8 inches squared if im wrong sorry but what i did was i added 7.4 plus 7.4 cause there are two of the same side then did the same with 4.5