Answer:
1. filled in circle at negative two, and never ending line to the left.
2. -6 ≤ x
Step-by-step explanation:
1. it is less than or equal to.
2. there is a filled in circle at -6 and it keeps on going to the right which is greater than.
f(x)=x+7 g(x)=4x^2-9 h(x)=-2x+1 what is the value of f(g(2) and the value of g(f(-2))
9514 1404 393
Answer:
f(g(2)) = 14g(f(-2)) = 91Step-by-step explanation:
g(2) = 4(2^2) -9 = 4(4) -9 = 7
f(7) = 7+7 = 14
f(g(2)) = 14
__
f(-2) = -2 +7 = 5
g(5) = 4(5^2) -9 = 4(25) -9 = 91
g(f(-2)) = 91
Draw a square.
Label the side lengths of the square
What is the area of the square?
The mean sat verbal score is 447, with a standard deviation of 95. Use the Empirical Rule to determine what percent of the score lie between 352 and 447.
Answer:
34.134%
Step-by-step explanation:
We start by calculating the z-scores
Mathematically;
z-score = (x-mean)/SD
for 352
z-score = (352-447)/95 = -95/95 = -1
For 447;
z-score = (447-447)/95 = 0/95 = 0
So the probability we want to calculate will be;
P( -1 < X < 0)
According to the emipirical rule, we want to calculate the proportion below 1 SD of the mean
According to the empirical rule, this is 34.134%
PLEASE ANSWER THIS ASAP
Answer:
8,5
Step-by-step explanation:
5*8-2y=30
40-30=2y
10=2y
y=10/2
y=5
Answer: The answer is 5!
02.CI.GeometryandGeometry Honors.CRM1.2 :
Which transformation preserves angle measures, but not segment lengths?
Dilation
Rotation
Reflection
Translation
Answer:
dilation
Step-by-step explanation:
Dilation is the only one of the options in which the figure can change size. The angles stay the same
The solution is: Dilation is the transformation which preserves angle measures, but not segment lengths.
Here, we have,
we know that,
Transformation is the movement of objects in coordinate plane.
A function f will map a set X to itself. f:X→X.
Dilation is a transformation that produces an image of the same shape as the original but of different size.
In dilation angle measures are preserved where as lengths of segments are not preserved.
so, we get,
Dilation is the only one of the options in which the figure can change size. The angles stay the same.
Hence, The solution is: Dilation is the transformation which preserves angle measures, but not segment lengths.
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(7) Explain why 198: 1,287 and 2: 13 are equivalent ratios.
Your answer
I
Answer:
Because they are both multiplied.
Step-by-step explanation:
Please help me with this!
A downtown building is 880 feet tall. Ana makes a scale model of the building at 1:440 of its actual size how tall is the model?
Answer:
2 feet
Step-by-step explanation:
880/440 = 2
Answer this and get 15 points if correct!!! What is 25 x 30 + 6 - 12
Step-by-step explanation:
the answer is 744..........
Determine the intercepts of the line.
x-intercept:
y-intercept:
I need help pls !!!!!!!
Answer:
( 11/2, 5 ) !
Step-by-step explanation:
Refer to the picture!
15 pts! QuikStop sales 2-packs of a 6-pack 12-ounce soda can for $5.40. What is the unit price of the soda
a) per can Answer
b) per ounce
Answer
1.per can : 10.8
i tried to answer but it is too hard
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 LaTeX: 4c+6v=804 c + 6 v = 80 describes the relationship between the number of cars, LaTeX: cc, and number of vans, LaTeX: vv, that can transport exactly 80 students. Select all statements that are true about the situation. Group of answer choices
A. If 2 cars go, then 2 vans are needed.
B. LaTeX: c=14 c = 14 and LaTeX: v=4 v = 4 are a pair of solutions to the equation.
C. If 6 cars go and 11 vans go, there will be extra space
D. 10 cars and 8 vans isn't enough to transport all the students.
E. If 20 cars go, no vans are needed.
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
Answer:
B. c =14 v = 4 are a pair of solutions to the equation.
E. If 20 cars go, no vans are needed.
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
Step-by-step explanation:
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
4 c + 6 v = 80
We are to find what can transport exactly 80 students.
We compare the options till we get our correct answer.
A. If 2 cars go, then 2 vans are needed.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(2) + 6(2)
8 + 12 ≠ 80
20≠ 80
Option A is wrong
B. c =14 v = 4 are a pair of solutions to the equation.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(14) + 6(4) = 80
56 + 24 = 80
80 = 80
Option B is correct
C. If 6 cars go and 11 vans go, there will be extra space
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(6) + 6(11)
24 + 66
110 > 80
Option C is wrong, there would be no space left
D. 10 cars and 8 vans isn't enough to transport all the students.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(10) + 6(8)
40 + 48
88 > 80
Option D is wrong
E. If 20 cars go, no vans are needed.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(20) + 6(0) = 80
80 + 0 = 80
80 = 80
Option E is correct
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(8) + 6(8) = 80
32 + 48 = 80
80 = 80
Option F is correct
Therefore the statements in options B, E and F are the only correct statement for the equation 4 c + 6 v = 80
(2x2-3x -1) + (2x2 + x-4)
A. 4x2 -2x-5
B. 4x4 -4x3 -13x2 + 11x + 4
C. -3
D. 4x + 3
Answer:the answer is x= -3
Step-by-step explanation:
It cost me $47.60 to fill my 14-gallon gas tank. What was the price of gas per gallon?
O $3.50 per gallon.
O $3.55 per gallon.
$3.60 per gallon.
$3.40 per gallon.
PLS HELP MEE
Answer:
3.40
Step-by-step explanation:
47.6 divided by 14 = 3.4
What's to look back?
Directions: Solve cach problem.
1.After buying some dalandan and papaya worth Php 125.75, how much change will you receive from a Php 200-bill?
2. Aling Mary bought 1.5 kg of lanzones, 1.7 kg of guava and 1.25 kg of guyabano. How many kilograms of fruits did she buy?
3. A kilo of banana costs Php 45.50. How much will 4 kilos cost?
4. Josie sold 45 kilos of mangoes. If each person bought 1.5 kilos, how many people bought
mangoes?
5. How much will 9 kilograms of santol cost if I kg cost Php 35.00?
Answer: 74.25 Php, 4.45kg, 182 Php, 30 People, and 315 Php
Step-by-step explanation:
1. 200-125.75= 74.25 Php
2. 1.5+1.7+1.25=4.45kg
3. 45.50*4 = 182 Php
4. 45/1.5 = 30 People
5. 35.00*9 = 315 Php
write a paragraph. How do you prepare fore a math test?
Answer:
studying
Step-by-step explanation:
to prepare for a math test you have to study and study then have some one one to help you with it
what is rounding to the whole percent
assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28
Given:
x and y are both differentiable functions of t.
[tex]4x^2+3y^3=28[/tex]
[tex]x=-1\text{ and }\dfrac{dy}{dt}=8[/tex]
To find:
The value of [tex]\dfrac{dx}{dt}[/tex].
Solution:
We have,
[tex]4x^2+3y^3=28[/tex] ...(i)
At x=-1,
[tex]4(-1)^2+3y^3=28[/tex]
[tex]4+3y^3=28[/tex]
[tex]3y^3=28-4[/tex]
[tex]3y^3=24[/tex]
Divide both sides by 3.
[tex]y^3=8[/tex]
Taking cube root on both sides.
[tex]y=2[/tex]
So, y=2 at x=-1.
Differentiate (i) with respect to t.
[tex]4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0[/tex]
Putting x=-1, y=2 and [tex]\dfrac{dy}{dt}=8[/tex], we get
[tex]4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0[/tex]
[tex]-8\dfrac{dx}{dt}+9(4)(8)=0[/tex]
[tex]-8(\dfrac{dx}{dt}-9(4))=0[/tex]
Divide both sides by -8.
[tex]\dfrac{dx}{dt}-36=0[/tex]
[tex]\dfrac{dx}{dt}=36[/tex]
Therefore, the value of [tex]4x^2+3y^3=28[/tex] is 36.
Find the product of
(-2 x5y3 )( 3x2y )
Answer:
(-2 x5y3 )( 3x2y )= -180 x2 y2
Is y=2x-1 a function?
Answer:
It is a function.
Step-by-step explanation:
By definition, a function relates each element in the domain to only one element in the range. This means that each vertical line you draw through the x-axis can intersect the function at only one point. ... y = 2x +1. This is the equation of a straight line with slope 2 and y-intercept 1, so it is a function.
A linear function is two distinct but related notions. So, y=2x-1 is also a linear function.
A recipe uses 5 cups of flour for every 2 cups of sugar.
Fill in the blanks. Just write the number.
Answer:
Step-by-step explanation:
1.0.4
2. 2.5
3. 17.5
4. 2.4
Answer:
1.0.4
2. 2.5
3. 17.5
4. 2.4
Step-by-step explanation
"Which point is plotted using the directions below?
Start at the origin. Move 4 units to the right, then move 5 units up.
O (5, 4)
O (4,5)
O (9,0)
0 (0,9)
Answer:
(4,5)
Step-by-step explanation:
Since you move right 4 from the origin, then your x value would increase by 4, and since you're moving 5 units up from the origin, then your y value would increase by 5
What is the slope of the line that passes through the points (4,9) and
(7,18)? Write your answer in simplest form.
Answer:
The answer is m=3 so the slope is 3
Step-by-step explanation:
Estimate to the nearest tenth. 108
10.1
O 10.4
O 10.8
Answer:
My answer is
Step-by-step explanation:
10.8
I think it help you
2. 1 to the power of 2 ( + 10)
write 54 as a product of prime numbers
Answer:
Step-by-step explanation:
54 = 9 * 6
54 = 3 * 3 * 3 * 2
5 The soccer team is
buying new uniforms.
You can get 10 pairs of
kneepads for $185. If the
team needs 17 sets of
kneepads, how much will it
cost
Fifty metal spheres, each with a radius of 2 cm, are melted. The melted solution is poured into a box. What is the volume of all the melted solution. Round your answer
to the nearest tenth of a centimeter.
1675.5 cm3
837.8 cm
418.9 cm
33.5 cm
Help me please
Answer:
The first option is correct 1675.5 cm^3Step-by-step explanation:
Step one:
we are given the radius as
r=2cm, and the number of spheres is 50 in numbers
let us find the volume of one sphere and multiply the area by 50 to get the volume of the 50 spheres
Step two:
[tex]volume=4/3 \pi r^3[/tex]
[tex]volume=4/3*3.142 *2^3\\\\volume=100.5/3\\\\volume=33.5[/tex]
The volume of one sphere is 33.5in^3
Hence the volume of the 50 spheres will be
=33.5*50
=1675.7cm^3 approx.
Volume of the melted solution will be 1675.5 cm³.
Radius of each metal sphere = 2 cm
Expression for the volume of the sphere is given by,
Volume = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
By substituting the value of radius in the expression,
Volume = [tex]\frac{4}{3}\pi (2)^3[/tex]
= 33.51 cm³
Volume of the melted solution = Volume of 50 spheres
Volume of 50 spheres = 50 × (33.51)
= 1675.5 cm³
Therefore, Volume of the melted solution will be 1675.5 cm³.
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Kate is going on a long distance car trip. She begins with 16 gallons of gas in her car and her car burns 3 gallons of gas each hour. If she ends her road trip with 1 gallon of gas left in the tank, how many hours was she driving
Answer:
She was driving for 5 hours
Step-by-step explanation:
Let us solve the question
∵ Kate begins with 16 gallons of gas in her car
∵ Her car burns 3 gallons of gas each hour
→ That means the rate of burn of the gas is 3 gallons per hour
∵ She ends her road trip with 1 gallon of gas left in the tank
→ That means she used the difference between 16 and 1 gallons
∴ The number of gallons she used = 16 - 1 = 15 gallons
→ By using the ratio method
→ Gallon : hour
→ 3 : 1
→ 15 : x
→ By using cross multiplication
∵ 3 × x = 15 × 1
∴ 3x = 15
→ Divide both sides by 3
∴ x = 5
∵ x represents the number of hours of her trip
∴ She was driving for 5 hours