Answer:
see explanation
Step-by-step explanation:
(b)
The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is
x = - 1 and x = 3
(c)
f(0) is the point on the y- axis where the graph crosses, that is 3, thus
f(0) = 3
Hi, I’m really confused if anyone could help me out that would mean a lot?:)
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
Can any kind soul help me
Step-by-step explanation:
2.(a) uniform speed = distance/ time
= ( 9×16) / 9
= 16 m/s
(b) 19-10 = 9s
(c) 16×9 = 144m
(d) rate of change of speed
= (v-u)/ t
= ( 7-16)/ 6
= -3/2 m/s²
3.(a) uniform speed = distance/ time
= ( 12×20 ) / 12
= 20 m/s
(b) 22-10 = 12s
(c) (12×20) + 1/2(20+60)(18)
= 240+720
= 960m
(d) acceleration
= (v-u)/ t
= ( 60-20 ) / 18
= 20/9 m/² or 2.22 m/s²
Translate the following into an expression: 22% of b PLS HELP QUICK WILL GIVE BRAINLIEST IF CORRECT!!!!!!!! 10pts!!!!!!!!
Answer:
The above statement is written as
[tex] \frac{22}{100} \times b[/tex]
Hope this helps you
I will make you a brainllest I need help :)
Answer:
32
Step-by-step explanation:
Lets work it out.
First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32
find the area of the blue sector. leave your answer in terms of pie please I need help NOW
Answer:
60
Step-by-step explanation:
Answer:
[tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π
In rectangle ABCD what are the values of y and z?
A y = 5; z = 55
B y = 5; Z = 5
C y = 35; z = 55
D y = 55; z = 5
Answer:
The answer is option A.
∆BDC is a right angled triangle
Angles in a triangle add up to 180°
That's
z + 35 + 90 = 180°
z = 180 - 35 - 90
z = 55°
Alternate angles are equal
Angle DBC = Angle BDA
That's
35 = 7y
Divide both sides by 7
y = 5
y = 5 z = 55
Hope this helps you
I also got stuck on this one.
Answer:
8 questions.
Step-by-step explanation:
100 - 2x = 84
-2x + 100 = 84
-x + 50 = 42
x - 50 = -42
x = 8
Trevor answered 8 questions incorrectly.
Hope this helps!
Answer:
8
8Step-by-step explanation:
100-2x=84
subtract 84 from both sides
16-2x=0
add 2x to both sides
16=2x
divide both by 2 to get x
x=8
hope this helped
35% off a phone = £78 how much was the phone before the discount prices?
Answer:
£120
Step-by-step explanation:
Given that
The price after reduction = £78
So, 65% = £78.
We have to calculate 100 %
To do so, find 5% and multiply that by 20
65% = £78
5% = 78/13 = £6
So, 100% = 6 x 20 = £120
Hope this helps.
Good Luck
Please mark brainiest
La longitud de un rectángulo mide 3m mas que el doble de su ancho del rectángulo, escribe un polinomio que represente el perímetro del rectángulo y simplifica el polígono correspondiente.
Answer:
Step-by-step explanation:
El ancho es x, el largo es x+3
El perímetro es dos veces el largo más dos veces el ancho, es decir: 2(x) + 2(x+3) = 4x+6
El polinomio sería: P(x)=4x+6
It would be really helpful if you could solve this for me. Please and thank you:)
Hey there! :)
Answer:
2nd choice.
Step-by-step explanation:
Given:
630 = 42f.
Divide both sides by 42 to solve for f:
630/42 = 42f/42
f = $15.
This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:
The second choice is correct. The number line has a single point at f = 15.
The length of a rectangle is 5 feet less than 3 times its width. A. Write a rule for the area A as a function of the width w. B. What is the area of the rectangle when its width is 2 feet?
Answer:
A. A = (3w - 5) * w
B. 2 feet squared
Explanation:
A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:
A = (3w - 5) * w
——————————
B. Plug in 2 for w using the given rule.
A = (3[2] - 5) * (2)
Distribute
(6 - 5) * 2
Subtract 5 from 6
1 * 2 = 2
The answer is 2 feet squared since this is area.
school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)
Answer:
12 adults and 4 kids were there that the fair
Step-by-step explanation:
the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place
Answer:
√3 * 5 = 5√3 cm
Step-by-step explanation:
→ ABCDEFGH is a cube.
→ CF = Diagonal of cube.
→ CH = Diagonal of Base Face BCDH.
→ Let the side of Each cube = a.
Than,
in Right ∆CFH, By Pythagoras Theoram, we have,
→ CH² + FH² = CF² --------- Equation (1)
and, Similarly, in Right ∆CDH ,
→ CD² + DH² = CH² ------- Equation (2).
Putting Value of Equation (2) in Equation (1), we get,
→ (CD² + DH²) + FH² = CF²
→ a² + a² + a² = CF²
→ CF² = 3a²
→ CF = √3a .
Hence, we can say That Diagonal of a cube is √3 times of its sides.
__________________
Given:-
Side of cube = 5cm.
So,
→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot
Replace f with 190, replace P with 4148 and solve for s:
4148 = 1.85s + 4.2(190)
Simplify:
4148 = 1.85 + 798
Subtract 798 from both sides:
3350 = 1.85s
Divide both sides by 1.85:
s = 1,810.81
Rounded to nearest square foot = 1811 square feet.
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet.
Given that,
Speed of first bicycle = 9 mph
Speed of second bicycle = 5 mph
Suppose the length of the circle 24 miles.
We need to find the relative velocity
Using formula of relative velocity
[tex]v=v_{1}-v_{2}[/tex]
Put the value into the formula
[tex]v=9-5[/tex]
[tex]v=4\ mph[/tex]
We need to calculate the time
Using formula of time
[tex]t=\dfrac{d}{v}[/tex]
[tex]t=\dfrac{24}{4}[/tex]
[tex]t=6\ hr[/tex]
We need to calculate the distance of the points where the two bicycles meet
Using formula of distance
For first bicycles,
[tex]d=9\times6[/tex]
[tex]d=54\ miles[/tex]
For second bicycles,
[tex]d'=5\times6[/tex]
[tex]d'=30\ miles[/tex]
Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.
A box contains 5 blue, 4 red, and 3 yellow marbles. Two marbles are randomly drawn and not replaced. What is the probability of drawing a blue then a red marble?
Answer: Probability = 20/132
Step-by-step explanation: There is no replacement in the box, so, once the marble is taken out, there will be one less inside the bag:
Total = 5 + 4 + 3 = 12
Probability of Blue:
P(b) = 5/12
Probability of Red: Since the blue is already out, total will be one less:
P(r) = 4/11
Probability of taken one and then the other:
P(blue,red) = [tex]\frac{5}{12} . \frac{4}{11}[/tex]
P(blue,red) = [tex]\frac{20}{132}[/tex] ≈ 0.15
The probability of drawing a blue and then a red is 20/132.
Answer:
5/33
Step-by-step explanation:
PLEASE help me with this!! I need help!
Answer:
∠ BDG = 148°
Step-by-step explanation:
The tangent- chord angle BDG is half the measure of its intercepted arc DCG
The 2 arcs in the circle sum to 360°, thus
arc DCG = 360° - arc DG = 360° - 64° = 296° , thus
∠ BDG = 0.5 × 296° = 148°
Graph the line with: a slope of 4/5 through the origin.
Answer:
y = 4/5x
Step-by-step explanation:
We have a slope of 4/5 and a point of (0,0)
Using the slope intercept form of a line
y = mx+b
y = 4/5 x +b
Substituting the point into the equation
0 = -1/2(0) +b
0 = 0+b
0 = b
The equation of the line is
y = 4/5x+0
A fair 6-sided die numbered 1 to 6 is rolled once. Find the probability that the number obtained is either even or a prime number. Define the event ME or MNE. If you can help me, I would be so thankful.
The length of a rectangle is a centimeters, the width of this rectangle is b centimeters. Write an expression for the perimeter of this rectangle.
Answer:
2a+2b
Step-by-step explanation:
I am pretty sure that if the length is a and width is b, you would add them twice together. I am actually not quite sure.
Hope this helped you
I am sorry if this was wrong, I am still a beginner at this
A box contains 6 blue balls, 4 black balls and 5 red balls at the same size . A ball is selected at random from the box and then replaced . A second ball is then selected. Find the probability of obtaining ; (i) two red balls ; (ii) two blue balls or two black balls ; (iii) one black ball and one red balls.
Answer:
(i) 1/21
(ii) 1/10
(iii) Take a look at the explanation: Try this one yourself. I have given you some hints.
Step-by-step explanation:
(i) Two red balls:
To do this, we need to find the total amount of possible choices first. To do this, we multiply 15 by 14. This is our denominator:
15(14) = 210
Now, we need to find the total combinations of red balls. We solve 5 choose 2 for this one.
5 choose 2 = 5(4)/2! = 10
Our numerator is 10. Therefore, our probability is 10/210 = 1/21.
(ii) Two blue balls or two black balls:
To do this, we need to add the probabilities of getting a blue ball with a black ball. (Since there is an "or" sitting there. If there is an "and", we multiply)
So, let's calculate the probability of getting a blue ball first:
Blue:
We use the same denominator as before: 210.
Our numerator is now 6 choose 2, which is:
6 choose 2 = 6(5)/2! = 15.
Now, our fraction is 15/210, BUT, dont simplify, as we will need to add.
Black:
Same steps: denominator is 210, but the numerator is 4 choose 2.
Solving 4 choose 2:
4 choose 2 = 4(3)/2! = 6.
Our numberator is 6.
But, we cant forget to add them!
(15 + 6)/210 is 21/210, which is 1/10.
(iii) I'll let you try this one by yourself. Here is a hint:
Solve for the probability of chooseing a black ball and a red ball. Then, multiply.
Enjoy the process, and I hoped this helped you! (If you have any questions, feel free to ask)
An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during those 5 years is approximated by dh/dt = 1.5t + 4, where t is the time in years and h is the height in centimeters. The seedlings are 12 centimeters tall when planted (t = 0). (a) Find the height after t years.
Answer:
[tex]h(t) = 0.75t^2 + 4t + 12[/tex]
Step-by-step explanation:
The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:
[tex]dh/dt = 1.5t + 4[/tex]
Multiplying both sides by 'dt', we have:
[tex]dh = (1.5t + 4)dt[/tex]
Using the integral in both sides:
[tex]\int dh = \int (1.5t + 4) dt[/tex]
[tex]h = 0.75t^2 + 4t + h(0)[/tex]
[tex]h = 0.75t^2 + 4t + 12[/tex]
So the height after t years is represented by this equation:
[tex]h(t) = 0.75t^2 + 4t + 12[/tex]
Will give BRANLIEST PLEASE HELP
Answer: n=6
Step-by-step explanation:
To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.
[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]
[tex]3=\frac{1}2}n[/tex] [multiply both sides by 2]
[tex]n=6[/tex]
Simple question
please help me solve this
Answer:
290 m³
Step-by-step explanation:
Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.
Volume of rectangular prism = width (w) × height (h) × length (l)
==>The prism on top has:
l = 3m
w = 8-3 = 5m
h = 6m
Volume (V1) = 3*5*6 = 90m³
==>The prism beneath has:
l = 8m
w = 5m
h = 5m
Volume (V2) = 8*5*5 = 200m³
Volume of the composite figure = V1 + V2 = 90+200 = 290 m³
Please answer this quickly - just want the answers, explanation not needed!
Answer:
Step-by-step explanation:
3782I really need HELP PLEASE
Answer:
A. I and II, only
Step-by-step explanation:
y = x
Switch variables.
x = y
y = 1/x
Switch variables.
x = 1/y
1/x = y
y = x²
Switch variables.
x = y²
±√x = y
y = x³
Switch variables.
x = y³
∛x = y
the mean of five numbers is 8. when another number is added the mean is 7. find the number added
Answer:
[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]
Step-by-step explanation:
Hello,
The mean of five numbers is 8 so we can write
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]
When another number is added the mean is 7, let s note x the another number we can write
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]
From the first equation we can say
[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]
So the second equation becomes
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]
The solution is then 2
Hope this helps
what is a triangular prism? Guy please answer this question it's me ?
Answer:
A prism is a polyhedron A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon.
Step-by-step explanation:
i hope this will help you
Answer:
A triangular prism is a prism whose bases are triangles and whose lateral faces are rectangles.It has 9 edges and 6 vertices.
please see the attached picture.
hope this helps..
Good luck on your assignment..
Aubreys kitchen countertop is 2/3 meter by 3 4/5 meters she solves 2/3 multiply 3 4/5 to find the area of the countertop in square meters. Enter numers to conplete aubreys calculations for the area
Answer:
[tex]2\frac{8}{15}[/tex] or 2.5333
Step-by-step explanation:
Just multiply the numbers. please mark brainliest
some help a homie out in math
Answer:
1. A pentagonal Pyramid
2. Super Easy, tell me to draw one if you need but i am not gonna give in that much effort right now