Answer:
-5
Step-by-step explanation:
f(x) =2x-1
f(-2)=2(-2)-1
2×(-2) = -4 -1= -5
f(-2)= -5
Could u guys help me plz?
9514 1404 393
Answer:
84.7 units²118.125 in³Step-by-step explanation:
The surface area of the triangular prism is the sum of its base areas and the lateral area. The total area of the two triangular bases is ...
A = bh = 7(6.1) = 42.7 . . . square units
The lateral area is the product of the perimeter of the base and the length of the prism. The height given for the prism is consistent with it having triangular bases that are equilateral triangles. That is, the unmarked dimension is likely 7 units, so the perimeter is ...
P = 7+7+7 = 21
and the lateral surface area is ...
LA = PL = 21·2 = 42
Then the total surface area of the prism is ...
total area = A + LA = 42.7 +42 = 84.7 . . . square units
__
The volume of a rectangular prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Your prism has a volume of ...
V = (26.25 in²)(4.5 in) = 118.125 in³
(-3,7) and (0,-2) find the slope
Show steps please
Step-by-step explanation:
-2 - 7 = -9
0 - (-3) = 3
y = -9x + 3
Which expression is equivalent to 5^10 times 5^5?
A. 5^2
B. 5^5
C. 5^15
D. 5^50
Awnser D is already ruled out
I believe the answer is A
Find the slope of 1,3 and 1,-2
Answer:
M=0
Step-by-step explanation:
i did math
Can anyone help me with this?
Step-by-step explanation:
for a it's y=12x+60
for b it's y=1x+21
for c it would be) 40-70=-30/1-3=-2 and then divide -30/-2 is 15.
for d it would be y=20x+20
it would be ethier a or d
The teachers need to buy eggs and plastic spoons for the egg race event. The teachers want to have 1 egg for every spoon. The eggs are sold in packs of 6 , and the spoons are sold in packs of 10 . If the teachers want to buy exactly 30 spoons and have no leftovers, they need to buy
Answer:
5 packs of eggs
3 packs of spoons
Step-by-step explanation:
Eggs are sold in packs of 6
Spoons are sold in packs of 10
The teachers want to have 1 egg for every spoon
Find the Lowest common multiple of 6 and 10
6 = 12, 18, 24, 30, 36, 42, 48, 54, 60
10 = 20, 30, 40, 50, 60
The lowest common multiple of 6 and 10 is 30
If the teachers want to buy exactly 30 spoons and have no leftovers
Eggs are sold in packs of 6
Number of packs needed = 30 /6
= 5 packs
Spoons are sold in packs of 10
Number of packs needed = 30/10
= 3 packs
The teacher will buy 5 packs of eggs and 3 packs of spoons to have exactly 30 spoons and have no leftovers
The graph shows the function f(x) = 2^x
What is the value of x when f(x) = 4?
O A. 2
O B. 3
O C. 1
O D.O
Answer:
2
Step-by-step explanation:
What is 347,200,000 in scientific notation
Answer:3.472*10^8
Step-by-step explanation:
Answer: 3.472 × 10 8 squared. ( 8 is in place of 2 when it comes to 2 squared!)
HOPE THIS HELPED, IF NOT SORRY!!
. Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation 4c+6v=80 describes the relationship between the number of cars, c, and number of vans, v, that can transport exactly 80 students.
Select all statements that are true about the situation.
If 12 cars go, then 2 vans are needed.
c=14 and v=4 are a pair of solutions to the equation.
If 6 cars go and 11 vans go, there will be extra space.
10 cars and 8 vans isn’t enough to transport all the students.
If 20 cars go, no vans are needed.
8 vans and 8 cars are numbers that meet the constraints in this situation.
Answer:
3v +2c=32 students
Step-by-step explanation:
Answer:ALL OF THESE ARE TRUE
c=14 and v=4 are a pair of solutions to the equation.
If 20 cars go, no vans are needed.
8 vans and 8 cars are numbers that meet the constraints in this situation.
Step-by-step explanation:
1. If 12 cars go, then 2 vans are needed.(4)(12)+(6)(2) = 80
60≠80
False2.c=14 and v=4 are a pair of solutions to the equation.(4)(14)+(6)(4) = 80
80=80
True
3.If 6 cars go and 11 vans go, there will be extra space.(4)(6)+(6)(11) = 80
90≠80
False
4. 10 cars and 8 vans isn’t enough to transport all the students.(4)(10)+(6)(8) = 80
88≠80
False and is wrong because it would leave extra space
5. If 20 cars go, no vans are needed.(4)(20)+(6)(0) = 80
80=80
True
6. 8 vans and 8 cars are numbers that meet the constraints in this situation.(4)(8)+(6)(8) = 80
80=80
True
What is this? Solve for x: 3(x + 1) = −2(x − 1) + 6.
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
STEP 1: Simplify 3(x+1).
[tex]3x+3=-2(x-1)+6[/tex]
STEP 2: Simplify −2(x−1)+6.
[tex]3x+3=-2x+8[/tex]
STEP 3: Move all terms containing x to the left side of the equation.
[tex]5x+3=8[/tex]
STEP 4: Move all terms not containing x to the right side of the equation.
[tex]5x=5[/tex]
STEP 5: Divide each term by 5 and simplify.
[tex]x=1[/tex]
DIRECTIONS: Enter your answer as an ordered pair: (? , ?)
What is the x-intercept of the line 7x - 4y = 28
Answer:
(0, 4 )
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x, that is
7x - 4(0) = 28, that is
7x = 28 ( divide both sides by 7 )
x = 4 ← x- intercept ⇒ (0, 4 ) as an ordered pair
Vince is married with 5 withholding, he earns $4,200. Find weekly withholding.
Simplify 4 x [2 +1 (47 - 5) : 7]
Answer:
32x
Step-by-step explanation:
--Multiply--
--Divide--
--Add--
--Multiply--
Josiah's family took a road trip to Mount Rushmore. Josiah fell asleep after they had travelled 174 miles. If the total length of the trip was 600 miles, what percentage of the total trip had they travelled when Josiah fell asleep?
Answer:
29
Step-by-step explanation:
your welcome
please help!! i need this done before tonight
Answer:
73.3
Step-by-step explanation:
cos 39=(57/x)
x=57/cos 39
= 73.345=73.3
cos x =adjacent/hypotenuse
adjacent is side where angle is subtended
hypotenuse is the longest side of the triangle
What's the reciprocal of -2?
Answer:
-1/2
Step-by-step explanation:
John's sister went shopping with him. She expected to spend $100 on clothes, but spent only $10. John wanted to help her calculate the percent error, but he thinks he may have made a mistake. Are his calculations below correct? Why or why not?
Answer:
10%
Step-by-step explanation:
Answer: John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.
Step-by-step explanation:
Which of the equations below represents a line perpendicular to the yaxis?
A. y= x
B. y= 6x
C. x = 6
D. y=-6
Answer:
y=x
Step-by-step explanation:
Answer:
D. y = -6
Step-by-step explanation:
You can graph each line to see which one is horizontal since the y-axis is vertical. This would make the lines perpendicular since when a vertical and horizontal line meet, they form a 90-degree angle, which is by definition what perpendicular means.
1. (x + 2) < −3(x + 4)
2. −3x + 3 < 6
number 1:
[tex]x>\frac{-7}{2}[/tex]
number 2:
[tex]x>-1[/tex]
Ashley's older brother, Jamaal, is planning to ride his bicycle from Los Angeles to Washington D.C., a distance of 2,668 miles, in two months. Jamaal has decided that he will ride for three days and then rest on the fourth day. If he maintains this plan, and rides on 45 of the 60 days, what is the minimum number of miles that Jamaal must ride each day with his new plan?
Answer:
60 miles
Step-by-step explanation:
This means the number of days he will ride is
45 days
Hence, the minimum number of miles that Jamaal must ride each day with his new plan is calculated as:
Total number of miles/Number of days
= 2668 miles /45 days
= 59.288888889 miles
Approximately to the nearest whole number = 60 miles
Hence, the minimum number of miles Jamal must ride each day is 60 miles
please help asap !!!!
this is 3 question help please
A local school sold 230 tickets for their performance of Hamlet. They sold a combination of regular tickets and student tickets. The regular tickets sold for $8 each and the student tickets sold for $5. That night they collected $1522 in ticket sales. Write an equation that describes each piece of information. Let "R" represent the number of regular tickets and "S" represent the number of Student tickets. (Hint: Create a system of equations.)
Answer:
R+S=230-------------1
8R+5S=1522--------2
Step-by-step explanation:
Step one:
given data
let regular be R
and Students be S
total tickets =230
cost of regular = $8 each
cost of students tickets = $5 each
total cost of the both tickets = $1522
Required
The systems of equations
1. for the total number of tickets
R+S=230-------------1
2. For the total cost
8R+5S=1522--------2
Hence the systems of equation for the situation is
R+S=230-------------1
8R+5S=1522--------2
I'm so lost in trigonometry please help??
Answer:
The ladder will go approximately 35.71 ft up the building.
Step-by-step explanation:
The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.
It means the ladder will form a right triangle with the building with the following dimensions:
base = 35 f t hypotenuse = 50 f t height = ?Using the Pythagorean Theorem to determine the height,
[tex]a^2+b^2=c^2[/tex]
Here,
a is the heightb is the basec is the hypotenuseSubstitute the given values into the equation to determine the height:
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+\left(35\right)^2=\left(50\right)^2[/tex]
[tex]a^2+1225=2500[/tex]
[tex]a^2=1275[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]a=\sqrt{1275},\:a=-\sqrt{1275}[/tex]
[tex]a\:=\:35.71,\:\:\:a\:=\:-35.71[/tex]
We know that height can not be negative. Thus,
[tex]a=35.71[/tex] ft
Therefore, the ladder will go approximately 35.71 ft up the building.
Determine the intercepts of the line. 7x-5=4y-67x−5=4y−67, x, minus, 5, equals, 4, y, minus, 6 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Given:
The equation of line is
[tex]7x-5=4y-6[/tex]
To find:
The x and y-intercept of the given line.
Solution:
We have,
[tex]7x-5=4y-6[/tex]
Putting x=0, we get
[tex]7(0)-5=4y-6[/tex]
Add 6 on both sides.
[tex]0-5+6=4y[/tex]
[tex]1=4y[/tex]
Divide both sides by 4.
[tex]\dfrac{1}{4}=y[/tex]
So, the y-intercept is [tex]\left(0,\dfrac{1}{4}\right)[/tex].
Putting y=0 in given equation, we get
[tex]7x-5=4(0)-6[/tex]
Add 5 on both sides.
[tex]7x=-6+5[/tex]
[tex]7x=-1[/tex]
Divide both sides by 7.
[tex]x=\dfrac{-1}{7}[/tex]
So, the x-intercept is [tex]\left(-\dfrac{1}{7},0\right)[/tex].
Answer:
x intercept: (-1/7 , 0)
y intercept: (0, 1/4)
Step-by-step explanation:
I NEED help pls i will give branliest sry don’t kn how to spell it :p
Answer: 58°.
Step-by-step explanation: From what is given, we see that the other three angles are 122°, 90°, and 90°. Since we know that the sum of the interior angles of a quadrilateral adds up to 360°, we just add up 122, 90, and 90 and subtract the sum from 360°. 122 + 90 + 90 = 302. 360 - 302 = 58. Thus, the answer is 58°.
please help .. write an exponential growth function, and then describe a real-world situation that the function could represent. do the same for an exponential decay function. share your
functions and the situations they represent.
exponential growth rate (equation) :
what real-world situation could your function represent :
exponential decay function (equation) :
what real-world situation could your function represent :
Answer:
Exponential functions are often used to represent real-world applications, such as bacterial growth/decay, population growth/decline, and compound interest
Answer:
Ben has an ant farm of 500 and unfortunately, a virus has broken out the population of ants decreased by 35% each day.
Step-by-step explanation:
What appears to be the range of the part of the function shown on the grid?
Answer:
(-5,2)
Step-by-step explanation:
Answer:
x ≥ −5
Step-by-step explanation:
I'm pretty sure this is the answer.
if it isn't, I'm sorry for disappointing you.
for the function F (X) = (x - 2)^2 + 4, identify the vertex.
A) the vertex is (-2, 4)
B) the vertex is (-4, 2)
C) the vertex is (4,2)
D) the vertex is (2,4)
Answer:
The answer will be D. (2,4)
Does the data for oliva's pup show a function? Why or why not
Answer:
Yes, it does show a function because for every input(weeks), there is one output(weight).
Step-by-step explanation:
A function is something that takes in an input and gives you one output.
Based off the data, there is only one output for each input; therefore, the data is a function.