Answer:
h(t) = h₀ + v₀·t + 1/2 g t² with
h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²
4.9 seconds
Step-by-step explanation:
16.087 (t - 2.48648)^2 - 94.5842 = 0
solving as a quadratic equation yields t ≈ 4.9 seconds
Given the figure below, find the values of x and z.
Answer:
X= 6°z= 112°Solution,
Finding the value of X,
[tex]11x + 2 = 68[/tex]
( being vertically opposite angles)
[tex]11x = 68 - 2 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = 6[/tex]
Value of X is 6
Now, finding the value of z
[tex]z + 68 = 180[/tex]
(sum of angle in linear pair)
[tex]z = 180 - 68 \\ z = 112[/tex]
Value of z is 112.
Hope this helps....
Good luck on your assignment...
someone tell me which ones to check
Answer:
Options (1), (5) and (10)
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are congruent and parallel.
2). Opposite angles are equal.
3). Consecutive angles are supplementary.
4). Diagonals bisect each other.
Therefore, from the given options the correct options are,
Option (1) - Has two pair of parallel sides
Option (5) - Both pairs of opposite sides are congruent.
Option (10) - The diagonals bisect each other
simplify this please 41 =12d-741=12d−7
Answer:
Simplifying
41 = 12d + -7
Reorder the terms:
41 = -7 + 12d
Solving
41 = -7 + 12d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-12d' to each side of the equation.
41 + -12d = -7 + 12d + -12d
Combine like terms: 12d + -12d = 0
41 + -12d = -7 + 0
41 + -12d = -7
Add '-41' to each side of the equation.
41 + -41 + -12d = -7 + -41
Combine like terms: 41 + -41 = 0
0 + -12d = -7 + -41
-12d = -7 + -41
Combine like terms: -7 + -41 = -48
-12d = -48
Divide each side by '-12'.
d = 4
Simplifying
d = 4
write the equation of a line that is perpendicular to x=3 and that passes through the point (0 -4) will mark brainliest asap!!!
Answer:
y = -4
Step-by-step explanation:
x = 3 is a vertical line.
The perpendicular line passes through (0, -4) (x, y)
y = -4
The line is perpendicular, so the line should be also horizontal.
Answer:
y = -4
Step-by-step explanation:
The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).
Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. How much money was invested at 3%? $2,000 $3,000 $4,000
Answer:
money invested at 3% is $4000
Step-by-step explanation:
let the money invested in 3% account be x
then money invested in 5% account = 6000 - x
we know interest = p*r*t/100
p is the principle amount invested
here t = 1 year
interest on 3% money
interest= x*3*1/100 = 3x/100
interest on 5% money
interest= (6000-x)*5*1/100
Total interest earned on both the account
3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100
given that total interest earned = $220
thus
( 30000-2x)/100 = 220
=> 30000-2x = 220*100= 22,000
=> -2x = 22,000- 30,000
=> x = -8000/-2 = 4000
Thus, money invested at 3% = x = $4000
Answer:)
$4000
Step-by-step explanation:
plzzzzz answer this question about density mass and volume!!!!!!!!!
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
FIND THE MISSING LENGTH INDICATED
Answer:
25 units.
Step-by-step explanation:
The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.
Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.
Now that we know the triangles are similar, we can construct a proportion...
[tex]\frac{16}{20} =\frac{20}{x}[/tex]
That means that 4/5 = 20/x
1/5 = 5/x
x = 25
Hope this helps!
Need Help Please I'm Out Of Time ;(
Which of the following questions are statistical questions? Select all that apply
How far does Mary live from school?
How many students were absent from Mrs. Jenssen's class today?
How tall are the sixth-grade students in your school?
How many pull-ups can each student in your class do?
What was the temperature at 4 p.m. each day this week?
Answer:
last three questions are statistical question
Answer:
The last three questions
Step-by-step explanation:
In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
Answer:
20
Step-by-step explanation:
The question and pic is on the picture I took a picture of
Answer:
m<y = 155
Step-by-step explanation:
If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)
Answer:
155°
Step-by-step explanation:
The two angles are a pair of vertically opposite angles.
Verticall opposite angles are opposite to each other and are equal.
Angle x = Angle y
155 = 155
A doctor prescribes 500 milligrams of a therapeutic drug that decays by about 19% each hour.
a) To the nearest minute, what is the half-life of the drug?
b)
Write an exponential model representing the amount of the drug remaining in the patient's
system after t hours. (2 points)
c)
Use your formula to find the amount of drug that would remain in the patient's system after 24
hours. Round your answer to the nearest hundredth of a gram. (2 points)
Answer:
a) half life is 3h 17 minutes
b) function of residue drug after t hours with initial quantity = 500 mg
f(t) = 500 (0.81^t)
c) drug left in patient's system after 24 hours
= 0.00 grams (to the hundredth of a gram.
Step-by-step explanation:
Given:
Drug initial active weight, A = 500 mg
Residue active weight, f(t) = A 0.81^t
t = time in hours.
a) half life
Half life is T, such that f(T) = 0.5A =>
0.5A = A(0.81^t)
0.81^t = 0.5
t*log(0.81) = log(0.5)
t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours
= 3 h 17.36 minutes
b) Equation of function of residue drug as a function of time t in hours
A=500 mg
f(t) = A(0.81^t) substitute A = 500 mg
= 500(0.81^t) mg
c) weight of residue drug after 24 hours to the hundredth of a gram.
t=24 hours
A=500
f(t) = 500(0.81^t) substitute t=24 hours
= 500(0.81^24)
= 3.181 mg
= 0.003181 g
PLEASE HURRY Find the measures of the numbered angle
Answer:
90°
Step-by-step explanation:
The sum of the arcs around the circle is ...
2x +4x +4x +2x = 360°
x = 360°/12 = 30°
The numbered angle is the average of the measures of the intercepted arcs, so is ...
(4x +2x)/2 = 3x = 3(30°) = 90°
The numbered angle is 90°.
12/ y + 8 = 4/9 Thats the question. Im dyin for help. :)
Answer:
-1 10/17
Step-by-step explanation:
Answer:
y = 1 10/17
Step-by-step explanation:
The LCD is 9y. Multiply all three terms by 9y:
(9y)(12) (9y)(4)
----------- + 8(9y) = -----------
y 9
This reduces to 108 + 72y = 4y, or 108 = -68y
Dividing both sides by 68, we get y = 1 10/17
steve can run 3.5 miles in 30 minutes. if he increases his rate by 1/2 mile per hour, how far will he run in 2 hours?
Answer:
15 miles
Step-by-step explanation:
Currently, he can run 3.5 * 2 = 7 mph. Adding 1/2 mph to that gives us 7.5 mph, so therefore, in 2 hours he can run 7.5 * 2 = 15 miles.
Answer:
15
Step-by-step explanation:
because its correct just did the thing.
4 Assuming the triangle was made of a material of uniform thickness which of the centres would also be the
centre of gravity of the triangle? Support your choice.
Step-by-step explanation:
you can split triangle in two 90-:80 triangles
x^2 + 20x + 28 = 9 find the graphing/vertex form
Answer: [tex](x+10)^2+119=0[/tex]
Step-by-step explanation:
For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.
The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]
Subtract 9 from both sides
[tex]=x^2+20x+19=0[/tex]
compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides
b= 20
[tex]x^2+20+100+19=-100[/tex] [(b/2)²=20/2=10]
[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]
[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]
So, the vertex form : [tex](x+10)^2+119=0[/tex]
310
Which law would you use to simplify the expression
quotient of powers
power of a quotient
product of powers
power of a product
power of a quotient
edge 2021
The law used to simplify the expression is quotient of powers.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,
3¹⁰ / 3⁴
For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.
By the definition we have the property of the power quotient of the same base set:
xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾
So, using the same,
3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶
Thus, to simplify the expression we must use the property of the power quotient of the same base.
Hence, the law used to simplify the expression is quotient of powers.
Learn more about expression, click;
https://brainly.com/question/16804733
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In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?
Answer:
y will be in every single quadrant
Step-by-step explanation:
So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex] first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way
literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
Answer:
n = 1/2
Step-by-step explanation:
So the equation is 4/5n - 1/5 = 2/5n.
So, the first thing that we need to do is get the variable on one side.
So, to do that we need to subtract 4/5n on both sides.
Now our equation is -1/5 = -2/5n
Now the last step is to simplify.
To do that, we need to multiply by the reciprocal of 2/5 on both sides.
That leaves us with 1/2 = n
Answer:
n = 2
Step-by-step explanation:
=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]
Combining like terms
=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]
Cross Multiplying
=> 5n = 2*5
=> 5n = 10
Dividing both sides by 5
=> n = 2
Fill in the blank with a number to make the expression a perfect square.
Answer:
16
Step-by-step explanation:
[tex] {w}^{2} - 8w + { {4}^{2} } \\ = {w}^{2} - 8w + \boxed{ 16} \\= (w-4)^2 [/tex]
Answer:
Step-by-step explanation:
a² + 2ab +b² = (a+ b)²
w² - 8w + _?___
a = w
2ab = -8w
2*w*b = -8w
b = -8w/2w
b = 4
8w = 2 * 4*w
w² - 8w + 4² =w² -8w + 16
What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)?
y=34x−92
y=34x+72
y=34x−74
y=34x+174
Answer:
y = 3/4x + 17/4
Step-by-step explanation:
Step 1: Find slope m
m = (5 - 2)/(1 + 3)
m = 3/4
y = 3/4x + b
Step 2: Find b
5 = 3/4(1) + b
5 = 3/4 + b
b = 17/4
Step 3: Rewrite equation
y = 3/4x + 17/4
Answer:
y = 3/4x + 17/9
Step-by-step explanation:
Find the slope:
5 - 2/ 1 - (- 3)
3/ 1 + 4
3/4
Find the y-intercept:
2 = 3/4(-3) + b
2 = -9/4 + b
17/4 = b
Put it in an equation:
y = 3/4x + 17/9
a+2=6 explain pkleaseeeeeeeeeeeeeeee
━━━━━━━☆☆━━━━━━━
▹ Answer
a = 4
▹ Step-by-Step Explanation
a + 2 = 6
Subtract 2 from both sides
2 - 2 = crossed out
6 - 2 = 4
Final Answer
a = 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
a=4
Step-by-step explanation:
If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. The rule for the translation can be written as T–5, 3(x, y). The rule for the translation can be written as T3, –5(x, y). The rule for the translation can be written as (x, y) → (x + 3, y – 3). The rule for the translation can be written as (x, y) → (x – 3, y – 3). Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
True statements are
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
Given :
The graph is attached below
Given options are
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
Explanation :
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points we can see that
[tex]-1+3=2\\3-5=-2[/tex]
So , 3 is added with x value and -5 is added with y value
Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.
Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]
Learn more :
brainly.com/question/3868587
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
What are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12
We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.
Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.
x - 1 = 0 gives us x = 1.
x + 1 = 0 --> x = -1.
x - 4 = 0 --> x = 4.
x + 3 = 0 --> x = -3.
our roots are x = 1, -1, 4, and -3.
Question 18 (5 points)
Identify the independent and dependent variables in the following situation: The
temperature of the water decreases as a diver descends to the bottom of a lake.
The independent variable is the temperature of the water, and the dependent
variable is the depth below the surface of the lake.
The independent variable is the depth below the surface of the lake, and the
dependent variable is the temperature of the water.
The independent variable is the speed at which the diver descends, and the
dependent variable is the temperature of the water.
The independent variable is the type of boat, and the dependent variable is the
temperature of the water.
Answer:
The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water
Step-by-step explanation:
Tempeture = depth x
Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2
Answer:
The answer is option A.
804.2cm²Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
radius = diameter / 2
radius = 16/2 = 8cm
Surface area of the sphere is
4π (8)²
= 4(64)π
= 256π
= 804.2cm²
Hope this helps you.
PLEASE HELP Order these numbers from least to greatest. 2 1/10, 61/10, 3.122, 3.19
Answer: 2 1/10, 3.122, 3.19, 61/10
Step-by-step explanation:
Let's first turn each number into decimal form: (1/10=.1, 2/10=.2,etc.)
2.1, 6.1, 3.122, 3.19. Obviously, the smallest number is 2.1, because it has a 2 in the ones place. Next, we see a tie in the ones place between 3.122 and 3.19. Then we look at the tenths place and see another tie. Then, at the hundredths place, we see that 3.19 is greater that 3.122. Thus, the order of the numbers is 2.1,3.122,3.19,6.1.
Hope it helps <3
Dan must choose a shirt, a pair of pants, and a cap for today's outfit. He has 2 shirts, 2 pairs of pants, and 3 caps to choose from. How many different outfits can he make?
Answer:
12 different outfits
Step-by-step explanation:
2 x 2 x 3 = 12 outfits.
Answer:
12
Step-by-step explanation:
He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:
2 * 2 * 3 = 12 outfits
The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.
Answer:
B. The variable s represents the number of students in each class.
C. The coefficient 14 represents the number of classes in the 9th grade.
Step-by-step explanation:
The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5 colored ropes the total number of ropes will be 5*5= 25.
In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30
We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.