Answer:
14.5
Step-by-step explanation:
Plug in the coordinates into the distance formula which is:
√[(x₂ - x₁)² + (y₂ - y₁)²]
√[(4 - 0)² + (14 - 0)²]
√[(4)² + (14)²]
√[(16) + (196)]
√212
14.5
Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.
Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.
Miguel is building a picture frame for his friend who has painted a family portrait. Miguel is making a square frame for the painting. He purchased a 3 foot
pine board to build the frame. He used 21 inches of the board to make the frame. How much wood would be used to create 1 side of the frame?
The length of a rectangle is triple the width. The perimeter is 54 m. Find the dimensions of the rectangle
Answer:
W = 6.75
L = 20.25
Step-by-step explanation:
2(w + 3w) = 54
8w = 54
w = 6.75
L = 20.25
3s+8s2+9s–3+3+8s please ans this quickk
Write a rule for the geometric sequence with the given description: The first term is −3, and each term is 5 times the previous term. Then, use the rule to solve for the 9th term. All work must be shown.
Answer: -1171875
Step-by-step explanation:
From the question,
a = first term = -3
r = common ratio = 5
The ninth term will be:
= ar^8
= -3 × 5^8
= -3 × 390625
= -1171875
Therefore, the ninth term is -1171875.
PLZZZZ HAAALLLPPPP!!!!!
Answer:
0
Step-by-step explanation:
-9x -3(2) = 6
-9x + 6 = 6
-9x + 6 -6 = 6-6
-9x/ -9= 0/-9
x=0
WILLL GIVE BRAINLIST!!! Enter the constant proportionality of the equation y=0.25x.
Answer:
0.25
Step-by-step explanation:
A proportional equation has the form
y = kx ← k is the constant of proportion
y = 0.25x ← is in proportional form
with k = 0.25
Jack bought 4 hot dogs and 3 sodas for $15.50. Mack bought 3 hot dogs and 2 sodas for $11.25. Find the cost of each.
Answer:
Hot dogs: $2.75
Sodas: $1.5
Step-by-step explanation:
Hot dogs = x
Sodas = y
4x + 3y = 15.5
3x + 2y = 11.25
First find the value of the hot dogs by canceling out y:
2(4x + 3y) = 2(15.5)
3(3x + 2y) = 3(11.25)
= 8x + 6y = 31
9x + 6y = 33.75
x = $2.75 (Minus bottom equation from the top to isolate x)
Plug in for x to get y:
3(2.75) + 2y = 11.25
2y = 11.25 - 8.25 (Isolate the y)
2y = 3
y = 3/2, or $1.5
Madelyn is blocking off several rooms in a hotel for guests coming to her wedding.
The hotel can reserve small rooms, that can room 2 people, and large rooms, that can
room 3 people. How many wedding guests could stay in the hotel if Madelyn reserved
15 small rooms and 14 large rooms? How many wedding guests could stay in the hotel
if Madelyn booked s small rooms and I large rooms?
Answer:
72
2s+3l
Step-by-step explanation:
for first answer,
15×2+ 14× 3 = 30+ 42=72
for second answer,
2 ×s + 3×l
= 2s+3l
1)Name a pair of corresponding angles
2)name the relationship between angle 3 and angle 6
3) name the relationship between angle 4 and 6
HELPP WILL MARK B IF CORRECT!!!!!
Answer: 1) 1&5 ; 2&6; 3&7; 4&8
2) Alternate interior angles
3) Consecutive interior angles
Step-by-step explanation:
1) 1&5 ; 2&6; 3&7; 4&8
2) Alternate interior angles
3) Consecutive interior angles
45% of 81.2 is a number between
A) 4 and 40
B)40 and 80
C)80 and 320
D)320 and 3600
Answer:
B, 55.42 (between 40 and 80)
ASAP PLEASE HELP!!! Find the measure of DE.
Answer:
C is the answer
Step-by-step explanation:
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The measure of side DE is 12.3.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
In the given triangle the length of the side DE can be found using the law of cosine. Therefore, the length of the side DE can be written as,
DE² = DF² + EF² - 2(EF)(DF)(Cos 59°)
DE² = 144 + 169 - 2(12 × 13 × Cos 59°)
DE² = 144 + 169 - 160.6918
DE² = 152.30812
DE = 12.3413 ≈ 12.3
Hence, the measure of side DE is 12.3.
Learn more about the Law of Cosine:
https://brainly.com/question/17289163
#SPJ5
A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel
Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
Compañeros de pintas gratis ... disfruta: D
Answer
THank you
Step-by-step explanation:
Answer:
gracias amigo
Step-by-step explanation:
ten un buen fin de semana se te aprecia se te aprecia
y is less then or equal to 1/2x plus 2
2
Step-by-step explanation:
I think it 4/2 because I multiplied it
Evaluate the expression 12t+38 when t=14.
Answer:
206
Step-by-step explanation:
12t+38
50
12x14=168
168+38=206
During a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 2 hours. What value represents the change in the temperature of the container each hour?Thank you
Answer:
general, efficiency is the amount used divided by the amount ... irrigation such as reduced labor and water cost also factor into ... What is the percent change from Loose to Hard. ... 2 hours if average hourly radiation energy input (RS) is ... minimum temperature is 8 ... (c) What is the pressure in the container at a depth 0.5 ft.
Step-by-step explanation:
Help please ASAP !!
Answer:
51.5
Step-by-step explanation:
How you use the Pythagorean theorem in 3D.
Answer:
If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².
Step-by-step explanation:
Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?
Answer:
8/13 cups of sugar
Step-by-step explanation:
Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?
For the above question
1 batch of chocolate chips cookies = 2/13 cups of sugar
4 batches = x
Cross Multiply
x = 4 × 2/13 cups of sugar
x = 8/13 cups of sugar
A square pyramid is shown. 4 m 6 m 6 m What is the surface area of the pyramid?
Can someone find the area of the kite?
Answer 40
Step-by-step explanation:
20m
because d1xd2÷2 = 20
No links pls
A colony of termites begins with 25 termites and increases at a rate of 25% per week. The graph models the number of termites after x weeks.
Which interpretation is FALSE?
(A) The y-intercept represents the number of termites originally in the colony
(B) The point (0, 25) contains the y-intercept
(C) The line y=0 is an asymptote of the graph
(D)The point (0, 0) contains the x-intercept
Answer: D: the point (0,0) contains the x-intercept
Step-by-step explanation:
Answer:
D is the answer for sure took the test got 100%
Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained
Answer:
6/10 kg
Step-by-step explanation:
Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained
Hence:
Total kg of salmon = 4/10 + 5/10 + 5/10 + fourth piece
Total kg = 2 kg
Hence,
Fourth piece = 2 kg - ( 4/10 + 5/10 + 5/10) kg
Lowest common denominator = 10
2 kg - (4 + 5 + 5/10)
2kg - (14/10)kg
2 kg - 1 4/10 kg
= 6/10 kg
The weight of the fourth piece =
6/10 kg
Please answer and show work
Answer:
Answer and steps are in picture.
What is the answer for ?x+2y=4 3x+6y=18
30 divided by 12 pls hurry
Answer:
2.5 is the correct answer.
Step-by-step explanation:
Hope this helped Mark BRAINLEST!!!
PLEASE HELP ME WITH THIS
20 POINTS! Please help!
Find the value of x. Round to the
nearest tenth.
x = [?]
Answer:
4 hope it helps you better
Luis tenía un saco de patatas de 95 kg. Ha vendido 10bolsas de 2,5kg cada una. ¿Cuántos kilos de patatas le quedan?
Answer:
A Luis le quedan 70 kg de patatas.
Step-by-step explanation:
Para encontrar la respuesta, primero tienes que determinar la cantidad total de patatas que Luis ha vendido multiplicando la cantidad de kilos en cada bolsa por el número de bolsas vendidas:
2,5kg*10=25 kg
Ahora que sabes que Luis ha vendido 25 kg de patatas puedes restar esto de la cantidad de kilos que tenía para saber cuánto le queda:
95-25=70
De acuerdo a esto, la respuesta es que a Luis le quedan 70 kg de patatas.