Answer:
The time the ball will hit the ground is 1.4s
Step-by-step explanation:
Given;
function of the ball's motion; h(t)= -5t²+ 14t + 3h
The final velocity of the ball, v , is given as;
v = dh/dt
v = -10t + 14
When the ball hits the ground, the final velocity, v = 0
v = -10t + 14
0 = -10t + 14
10t = 14
t = 14 / 10
t = 1.4s
Therefore, the time the ball will hit the ground is 1.4s
You move left 3 units. You end at -4, -3. Where did you start?
Answer:
(-4+3, -3) = (-1,-3)
Step-by-step explanation:
Which expression is equivalent to 4k+2k?
Answer:
it equals 6k but an equivalent expression could be 2k + 4k
Step-by-step explanation:
2k + 4k = 4k + 2k
Answer:
6k
Step-by-step explanation:
You can combine both of these terms because they both have the same variable (k). We know that 4+2=6, and the variable stays the same, 6k.
~theLocoCoco
There are 7 girls in a bus. Each has 7 backpacks. In each backpack, there are 7 big cats. For every big cat, there are 7 little cats. How many legs are there in the bus?
Answer:
10,990 legs
Step-by-step explanation:
There are 7 girls in the bus
= 7 × 2 = 14 legs
Each bag pack there are 7 big cats
= 7 × 7 × 7 × 4= 1372 legs
For every big cats there are 7 small cars
= 7×7×7×7×4= 9,604 cats
Therefore the total legs in the bus can be calculated as follows
= 14 +1372+9604
= 10,990 legs
Hence there are 10,990 legs in the bus
If ABC is congruent to DBE find x
Answer:
x=44 degrees
Step-by-step explanation:
5y-4 has to equal 81 in order for the two triangles to be congruent.
The sum of the interior angles of a triangle is always 180 degrees.
81+51=132 degrees
180-132=48
x+4=48
x=48-4
x=44 degrees
A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?
Answer:
The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
Step-by-step explanation:
Assume that the length of the pool is x feet
∵ The length of the pool is x feet
∵ The wide of the walkway around the pool is 5 feet
∴ The total length of the pool with the walkway = (x + 5) feet
∵ The area of the entire plot, including the walkway, is A square feet
∴ The area of the entire plot, including the walkway = A feet²
∵ The area of the square = (length)²
→ Substitute the length by (x + 5)
∴ The area of the entire plot, including the walkway = (x + 5)² feet²
→ Equate it by A
∴ A = (x + 5)²
→ To find x take square root for both sides
∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]
→ Cancel the square root of the right side by power 2
∴ [tex]\sqrt{A}[/tex] = x + 5
→ Subtract 5 from both sides
∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5
∴ [tex]\sqrt{A}[/tex] - 5 = x
→ x represents the length of the pool
∴ The length of the pool is [tex]\sqrt{A}[/tex] - 5 feet
∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
The length of the pool will be √A-10.
What is area?Area is defined as the total space taken up by a flat surface or shape of an object.
Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.
The area of a square is side².
Let the side of the walkway be (x+10)
A = (x+10)²
√A = x+10
x = √A-10
Hence, The length of the pool will be √A-10.
Learn more about area;
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Which ordered pair is a solution to the equation y= 6x - 2?
(1,0)
(5, 28)
(6, 20)
(3, 19)
Answer:
(5, 28)Step-by-step explanation:
y= 6x - 2Verifying pairs:
(1,0)
0 = 6*1 - 20 = 4 - incorrect(5, 28)
28 = 6*5 - 228 = 30 -228 = 28 - correct(6, 20)
20 = 6*6 - 220 = 36 - 220 = 34 - incorrect(3, 19)
19 = 6*3 - 219 = 18 - 219 = 16 - incorrectap calc multiple choice question; attached below
please explain how, please!
Answer:
C. [tex]\frac{f(b)-f(1)}{b-1}=20[/tex]
General Formulas and Concepts:
Calculus
Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]MVT is also Average ValueStep-by-step explanation:
Step 1: Define
[tex]f(x)=e^{2x}[/tex]
f'(c) = 20
Interval [1, b]
Step 2: Check/Identify
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]
Step 3: Mean Value Theorem
Substitute: [tex]20=\frac{ f(b)-f(1)}{b-1}[/tex]Rewrite: [tex]\frac{ f(b)-f(1)}{b-1}=20[/tex]And we have our final answer!
If 2a = 3b, and 4a - 7 = 2b + 9. what is the value of a?
Answer:
1.5
Step-by-step explanation:
Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?
Answer:
15:20=3:4
Step-by-step explanation:
Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2
If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?
Answer:
Please read the explanied answer below.
Step-by-step explanation:
As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]We also know that a regular polygon has all the angles equal and all sides have the same length.
As we know:
Exterior angle = 360° ÷ No. of sidesWhen the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.
For example:
In terms of a triangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 3 = 120°
In terms of a rectangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 4 = 90°
and in the same way
360° ÷ 5 = 72 °
360° ÷ 6 = 60 °
360° ÷ 8 = 45 °
360° ÷ 9 = 40°
and so on.
I hope it may have solved your query.
if -13x-71=201 what is x
Answer:
272/-13 or −20.923
Step-by-step explanation:
To solve this equation you need to isolate the variable.
First, add 71 to both sides
-13x-71+71=201+71
-13x=272
Then, divide both sides by -13
-13x/-13=272/-13
So, x=272/-13 or −20.923
Which of the following numbers can be expressed as repeating decimals? (5 points)
3 over 7 , 2 over 5 , 3 over 4 , 2 over 9 How can 38 over 6 be expressed as a decimal?
9514 1404 393
Answer:
Repeating decimals:
3/72/938/6 = 6.3_3 (repeating 3)
Step-by-step explanation:
[tex]\dfrac{3}{7}=0.\overline{428571} \quad\text{repea}\text{ting decimal}\\\\\dfrac{2}{5}=0.4\\\\\dfrac{3}{4}=0.75\\\\\dfrac{2}{9}=0.\overline{2}\quad\text{repea}\text{ting decimal}[/tex]
The improper fraction 38/6 = 19/3 = 6 1/3. As a decimal, this is ...
[tex]\dfrac{19}{3}=6.\overline{3}\quad\text{repea}\text{ting decimal}[/tex]
_____
The repeating part of a decimal fraction is conventionally written with an overbar, as shown in the typeset content above. In plain text, it is sometimes written with an underscore preceding the repeating digits.
The sixth root of (729x30 y 18 )?
Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m
Answer:
D
Step-by-step explanation:
[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]
[tex]c = \sqrt{36 + 64} [/tex]
[tex]c = \sqrt{100 } [/tex]
[tex]c = 10[/tex]
Pythagorean theorem
What is the measure of \large \angle V?
Answer:
THe interior angles of any triangle equal 180
THerefore 48+87+v=180
48+87+v=180
87+v=132
v=45
Step-by-step explanation:
if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)
Hello!
[tex]\large\boxed{f(x) = 3x - 28}[/tex]
If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):
f(x) = (3x - 18) - 10
Simplify:
f(x) = 3x - 28
It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200
Answer:
300+200
Step-by-step explanation:
did not give a equation
Answer:
300 + 200x
Step-by-step explanation:
200 is the one that's changing so it has the x.
A negative multiplied/divided by a negative (same signs) equals a _
positive
negative
Answer:
When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.
Step-by-step explanation:
Lee buys a parcel of land in the shape of a rectangle. It has an area of 1,125 square feet and a width of 25 feet. What is the length of the parcel of land? Show your work.
Answer:
45 feet
Step-by-step explanation:
Area of a rectangle = length × width
Area of the rectangle = 1,125 square feet
Length of the rectangle = x feet
Width of the rectangle = 25 feet.
What is the length of the parcel of land?
Area of a rectangle = length × width
1,125 = x * 25
1,125 = 25x
Divide both sides by 25
x = 1,125 / 25
= 45
x = 45 feet
The length of the parcel of land is 45 feet
Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?
Answer 50 is the answer have a good day
Answer:
50 ribbons
Step-by-step explanation:
To find how many ribbons she can make, divide 32 by 0.64:
32/0.64
= 50
So, she can make 50 ribbons from her roll
Please do quick
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $59.82
Answer:
$12
Explanation: 60 x .2= 12 + 60= $72
HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED
Answer:
11.3
Step-by-step explanation:
Answer:
16641
Step-by-step explanation:
129 x 129=16641
HTH :)
Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.
1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)
Which one is correct?
Answer:
7
Step-by-step explanation:
Proprtion is 1:3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:7
Step-by-step explanation:
there all is divided by three for the smaller triangles
Factor the GCF: −14y2 + 12y − 22
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation:
I need HELPPPP!!!!! ASAPPPP
Answer:
<1 =100 (check explanation for why)
<2 = 80 (check explanation for why)
<3 = 100 (check explanation for why)
Step-by-step explanation:
You can get <1 from the given angle being a linear pair to <1, so:
180= 80+ <1
100= <1
You can get <2 from being a linear pair to <1, so:
180 = 100 + <2
80 = <2
You can get <3 from being a linear pair to <2
180 = 80 + <3
100= <3
Answer:
m<1= corresponding
m<2=vertical angle
m<3=consecutive interior angle
But i am not sure entirely.
4/6 = 9/12 is a proportion.
true false
Answer:
The answer is False 9/12 simplified equals 3/4
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Multiply out 3(2x-7)
Answer:
6x-21
Step-by-step explanation:
3*2x = 6x
3*-7 = -21
6x-21
The quotient of a number and -7 is 8. What is the number?
Answer:
-56
Step-by-step explanation:
-56/-7 =8