Answer:
Add information
Step-by-step explanation:
According to mu understanding, this is the part (B) of the question. If you could provide the first part, I can complete it because some useful information is left out.
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
The graph is not a function of x because the line x = 0 intersects the graph at two points.
Step-by-step explanation:
This graph is not a function because it fails the vertical line test, since several vertical lines would intersect the graph at 2 points.
This answer choice is correct, as the line x = 0 intersects the graph at 2 points, (0, 2) and (0, -2).
Answer:
A
Step-by-step explanation:
You check 20 batteries.Fourteen of the batteries do not have a charge. What is the experimental probability that the next battery you check does not have a charge?
Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that
Number of batteries that do not have a charge = 14
Total number of batteries = 20
To find:
Experimental probability that the next battery checked does not have a charge = ?
Solution:
First of all, let us learn about the definition of experimental probability.
Probability is the chances of happening of an event.
Formula for probability of happening of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here we have to find the probability of checking a battery that has no charge.
So, number of favorable cases = Number of batteries that do not have a charge = 14
AND
Total Number of cases = Total number of batteries to be checked = 20
So, the required probability is:
[tex]\dfrac{14}{20} = \bold{\dfrac{7}{10}}[/tex]
select all options that represents the side lengths of a 30 60 90 triangle.
Answer:
Options (B) and (D)
Step-by-step explanation:
If a triangle is a 30° - 60° - 90° triangle, measure of the angle between the leg and hypotenuse will be either 60° or 90°.
Therefore, by applying Cosine rule in the given options.
c² = a² + b² - 2abCosC
All the given options are the right triangles.
[Since they follow the Pythagoras theorem]
Option (A),
Angle between the sides having measures 3 and 5 units,
4² = 3² + 5² - 2(3)(5)CosC
16 = 9 + 25 - 30.CosC
30.CosC = 18
[tex]C=\text{Cos}^{-1}(\frac{5}{6} )[/tex]
C = 33.56°
Therefore, this triangle is not a 30-60-90 triangle.
Option (B),
Angle between the sides measuring 5 and 10 units,
[tex](5\sqrt{3})^2=5^2+10^2-2(5)(10)\text{CosC}[/tex]
75 = 125 - 100(CosC)
Cos(C) = 0.5
C = 60°
Therefore, other angles of the triangle will be 30° and 90°.
And it's a 30°-60°-90° triangle.
Option (C),
10, 10, 10√2
It's a right triangle and the measure of legs are equal.
Since legs of this sides are equal, angles opposite to these equal sides will be equal.
Sum of all interior angles = 180°
m∠A + m∠B + m∠C = 180°
If m∠B = 90°
m∠A + 90° + m∠C = 180°
2(m∠A) = 90°
m∠A = 45°
Therefore, the given sides make a 45°- 45°- 90° triangle.
Option (D).
Angle between the sides 3 and 6,
(3√3)² = 3² + 6² -2(3)(6)CosC
27 = 9 + 36 - 36.(CosC)
CosC = [tex]\frac{18}{36}[/tex]
C = [tex]\text{Cos}^{-1}(\frac{1}{2})[/tex]
C = 60°
Therefore,
These sides make a 30°- 60°- 90° triangle.
Options (B) and (D) are the 30°- 60°- 90° triangle.
Whats the mean of the box plot 50 60 70 80 90 100
Answer:
75
Step-by-step explanation:
Mean = sum of all numbers / how many of numbers
=> 50 + 60 + 70 + 80 + 90 + 100 / 6
=> 450 / 6
=> 75
So, the mean of this data is 75.
the slope of a line parallel to the given line 8x-2y=5
Answer:
4x
Step-by-step explanation:
8x-2y=5
8x=2y+5
8x-5=2y
4x-5/2=y
The slope of the parallel line would be 4x because the slope doesn't change. Hope this helps.
The polygons are regular polygons. Find the area of the shaded region to the nearest tenth.
The area of the shaded region in the regular polygon is 161.3 cm²
What is a regular polygon?
A regular polygon is a polygon in which all the sides are equal.
From the diagram, the regular polygon is a square which is composed of a small square and a large square. In a square, all the sides are equal.
For the small square, half of the diagonal is 4 cm, therefore the length of the diagonal is 8 cm (2 × 4 cm). Let the length of the side be a cm, using Pythagoras theorem:
a² + a² = 8²
2a² = 64
a² = 32
a = √32 = 5.7 cm
The area of the small square = length × length = 5.7 × 5.7 = 32.5 cm²
For the large square, half of the diagonal is 9 cm, therefore the length of the diagonal is 18 cm (2 × 9 cm). Let the length of the side be b cm, using Pythagoras theorem:
b² + b² = 18²
2b² = 324
b² = 162
b = √162 = 12.7 cm
The area of the large square = length × length = 12.7 × 12.7 = 161.3 cm²
The area of the shaded region = Area of large square - Area of small square = 161.3 cm² - 32.5 cm² = 128.8 cm²
The area of the shaded region in the regular polygon is 161.3 cm²
Find out more on regular polygon at: https://brainly.com/question/1592456
Answer:
it’s actually 130 or 130.0
Step-by-step explanation:
4' 1" − 1' 10" = Subtract measurement with Same Difference Theorem
Answer:
2' 3"
Step-by-step explanation:
Here 4' 1" − 1' 10" is certainly possible, but to carry out this operation we must borrow 1', or 12", from 4' 1":
4' 1" becomes 3' 13", and so the original problem becomes
3' 13" - 1' 10"
which in turn becomes 2' 3"
Can someone pls help me &THANK YOU
SLATTTT!!!
What the answer question now
Step-by-step explanation:
Here,
radius (r)= 2cm
height(h)=5cm
now,
according to the question we must find the surface area of cylinder so,
by formulae ,
a= 2.pi.r(r+h)
now,
a= 2×3.14×2(2+5)
by simplifying it we get,
The surface area of cylinder is 87.92 cm^2.
Hope it helps
if the first step of the equation -8 - 7x = -5x - 10 is " add 10" then what should be done next?
Answer:
Add 7x to each side
Step-by-step explanation:
-8 - 7x = -5x - 10
Add 10 to each side
-8 - 7x+10 = -5x - 10+10
2 -7x = -5x
Add 7x to each side
2-7x+7x = -5x+7x
2 = 2x
Answer: See below
Step-by-step explanation:
[tex]-8 - 7x = -5x - 10[/tex]
I believe it is adding 8 on both sides
The next step after adding 8 on both sides is adding 5x on both sides
[tex]-7x=-5x-2[/tex]
[tex]-7x+5x=-5x-2+5x[/tex]
[tex]-2x=-2[/tex]
x=1
Am I doing this right if not please help me
Answer:
Step-by-step explanation:
For the m it would just be -3 because the equation for slope intercept form is y=mx+b
On the following number line, two rational numbers are graphed. Represent the two numbers as fractions (or mixed numbers) in lowest terms, and write two different expressions to represent the difference between them. Then, find the difference, showing all of your work.
Answer:
The answer is below
Step-by-step explanation:
A rational number is a number in the form p/q where p and q are both integer numbers.
From the number line, each one unit is divided into six, therefore each one point is 1/6 unit. For the first number, it is between 0 and 1 and is on the fifth point, therefore the expression of the first number = 0 + 5(1/6) = 0 + 5/6 = 5/6
For the second number, it is between -1 and -2 and is on the third point, therefore the expression of the second number = -1 - 3(1/6) = -1 - 3/6 = -9/6
The difference between the two numbers is:
5/6 - (-9/6) = 5/6 + 9/6 = 14/6
A chocolate company has a new candy bar in the shape of a prism whose base is a 1-inch equilateral triangle and whose sides are rectangles that measure 1 inch by 2 inches. These prisms will be packed in a box that has a regular hexagonal base with 2-inch edges, and rectangular sides that are 6 inches tall. How many candy bars fit in such a box
In the diagram of the right triangle shown find the value of c.
Answer:
Hey there!
20^2+25^2=c^2
400+625=c^2
1025=c^2
Square root 1025 is the correct answer, so option C.
Let me know if this helps :)
Answer: B
Step-by-step explanation:
what is .6239 as fraction?
Answer:
.6239 as a fraction is 6239/10000.
Clinton is having a coin drive. Each class has a goal of 600 pennies.Layla has already collected 338 pennies. How many more pennies does Layla need to collect to reach their goal. PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST PLEASE AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
262 pennies
Step-by-step explanation:
If Layla already has 388 pennies and she needs 600 pennies total, all she needs to do is is take the amount she already has away from 600:
A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of tu
groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this?
Answer:
This is an experiment because a treatment was applied to a group.
Step-by-step explanation:
There are two groups, The first group used the computer program while the second group did not therefore this is an experiment. An experiment involves changing an independent variable to see how it affects a dependent variable. The dependent variable in this case determining the effect of a new computer program on learning while the independent variables was testing with the computer program and not testing with the program.
Two trains leave New York at the same time heading in opposite directions. Train A travels at 4 5 the speed of train one. After seven hours they are 693 miles apart. What was the speed of train A?
Answer:
Speed of train A is 44 miles/hr.
Step-by-step explanation:
Let the speed of train A = [tex]u\ miles/hr[/tex]
Let the speed of train one = [tex]v\ miles/hr[/tex]
Train A travels at [tex]\frac{4}{5}^{th}[/tex] the speed of train one.
i.e.
[tex]u = \dfrac{4}{5}v \\\Rightarrow v =\dfrac{5}{4}u.... (1)[/tex]
Distance traveled = 693 miles
Time taken = 7 hours
They are travelling in opposite directions so the resultant speed will appear to be faster.
Relative speed = [tex]u+v\ miles/hr[/tex]
The trains are 693 miles apart in 7 hours that means they have traveled a total distance of 693 miles in 7 hours with a speed of ([tex]u+v[/tex]) miles/hr.
Using the formula:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
[tex]u+v = \dfrac{693}{7}\\\Rightarrow u+v=99 ...... (2)[/tex]
Putting the value of v using equation (1):
[tex]\dfrac{5}4u+u=99\\\Rightarrow 5u+4u = 99 \times 4\\\Rightarrow 9 u = 99 \times 4\\\Rightarrow u = 11 \times 4 = \bold{44\ miles/hr}[/tex]
Speed of train A is 44 miles/hr.
URGENTT PLEASE ANSWER
Answer:
Step 2
Step-by-step explanation:
9 was added to both sided so the equation would remain equal and the 9 would be cancelled out on the left side.
the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat
Answer: 4.2 cups
Step-by-step explanation: 63 divided by 15=4.2
7. Consider a topograph with values 1,7,-2 as in the margin (pictured).
Fill in the ?s to satisfy the arithmetic progression rule
Answer:
see below
Step-by-step explanation:
The "arithmetic progression rule" requires the numbers on either side of an edge make an arithmetic progression with the numbers at either end.
If we label the variables 'a', 'b', 'c' clockwise from top, then the rule means we have ...
2a -b +2c = 1
2a +2b -c = 7
-a +2b +2c = -2
Solution
Adding twice the second equation to each of the other two gives ...
2(2a +2b -c) +(2a -b +2c) = 2(7) +(1)
6a +3b = 15 . . . . [eq4]
and
2(2a +2b -c) +(-a +2b +2c) = 2(7) +(-2)
3a +6b = 12 . . . . [eq5]
Subtracting [eq5] from twice [eq4] we have ...
2(6a +3b) -(3a +6b) = 2(15) -(12)
9a = 18
a = 2
From [eq4], we can find b:
b = (15 -6a)/3 = 5 -2a = 5 -2(2) = 1
From [eq2] we can find c:
c = 2(a+b) -7 = 2(2+1) -7 = -1
These values are shown on the diagram below.
Determine the equation of the inverse of y = 1/4 x^3 - 2
All of 4x+8 is under a cube root sign.
=====================================================
Work Shown:
To find the inverse, we swap x and y, then solve for y.
[tex]y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\[/tex]
------------
Side note:
If [tex]f(x) = \frac{1}{4}x^3 - 2[/tex] and [tex]g(x) = \sqrt[3]{4x+8}[/tex], then [tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
PLEASE help me with this question. This is really URGENT
Answer:
[tex]\boxed{ \sf Option \ 4}[/tex]
Step-by-step explanation:
The domain is all possible values for x.
There are no restrictions on x. The domain is all real numbers.
The range are all possible values of F(x) or y.
[tex]F(x)=5^{3(3)}= 1953125[/tex]
[tex]F(x)=5^{3(0)}= 1[/tex]
[tex]F(x)=5^{3(-2)}= 0.000064[/tex]
When the value of x increases, the value of F(x) increases until infinity. When the value of x decreases, the value of F(x) gets closer to 0 but does not equal to 0.
The range is [tex]y>0[/tex]
The coefficient of 3 does not affect the domain and range, as there are no real restrictions.
II
Initial Knowledge
This morning, Leila's car had 19.79 gallons of fuel. Now, 2.8 gallons are left. How much fuel did Leila use?
Answer:
[tex]19.79 - 2.8 = 16.99gallons[/tex]
Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88
Answer:
Each slice of pizza cost:
$1.63
Step-by-step explanation:
4.89/3 = 1.63
Answer:
$1.63
Step-by-step explanation:
We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.
cost / slices
It costs $4.89 for 3 slices.
$4.89 / 3 slices
Divide 4.89 by 3 (4.89/3=1.63)
$1.63 / slice
The cost of each slice of pizza is $1.63
The triangle shown below has an area of 4 units
Find the missing side.
Answer:
[tex]\boxed{4 units}[/tex]
Step-by-step explanation:
Hey there!
Well if the base is 4 and we use the formula,
b*h / 2
4*4 = 16
16/2 = 8
So x is 4.
Hope this helps :)
Answer:
x = 2 unitsStep-by-step explanation:
Area of a triangle is given by
base × height
[tex] A = \frac{1}{2} base × height[/tex]
From the question
Area = 4 units²
height = 4 units
let x represent the base
We have
[tex]4 = \frac{1}{2} \times x \times 4[/tex]
4 = 2x
Divide both sides by 2
x = 2 unitsHope this helps you
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.
Answer:
(1+5*2+(1+3))2=27
0.25*43-1=15
4+8(1/4+2)=22
Step-by-step explanation:
I used a scientific calculator ;)
if it takes a half of a cup of oil to make 20 cookies how much oil is needed to make 5 cookies?? please help.
Answer:
We need 1/8 cup
Step-by-step explanation:
We can use ratios to solve
1/2 cup x cups
------------ = -----------------
20 cookies 5 cookies
Using cross products
5 * 1/2 = 20x
Divide each side by 20
5/2 * 1/20 = 20x/20
5/40 =x
1/8 =x
We need 1/8 cup
Answer:
Step-by-step explanation:
step 1: you know that 1/2 c of oil makes 20 cookies.
step 2: if you only have 1/4 c (half of 1/2 cup), then you can make 10 cookies.
Step 3: 1/8 c would make 5 cookies.
Solve 8
can u help me with this problem
Answer:
$4.20
Step-by-step explanation:
y = .05x (using stat on calculator)
y = .05(84)
$4.20
