Answer:
c f(0)=6
Step-by-step explanation:
they match
(17x10)-(17x4)=(17 x ?)
Answer:
6
Step-by-step explanation:
6 is the answer
? =6
Answer:
6
Step-by-step explanation:
1. 17 * 10 = 170
2. 17 * 4 = 68
3. 170 - 68 = 102
4. 102 / 17 = 6
Find the interquartile range (IQR) of the data in the dot plot below. chocolate chips 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10. Number of chocolate chips. Chocolate chips in different cookies in a package
*The dot plot is shown in the attachment below
Answer:
2
Step-by-step explanation:
Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).
First, let's write out each value given in the data. Each dot represents a data point.
We have:
2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7
=>Find the median:
Our median is the middle value. The middle value is the 6th value = 4
==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.
2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7
Our upper median = 5
==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.
2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7
Lower median = 3
==>Interquartile range = Q3 - Q1 = 5-3 = 2
Answer:
2
Step-by-step explanation:
find the perimiter of this shape
Answer:
The perimeter of the shape is (7x²+10x+81) inches.
Step-by-step explanation:
When finding the perimeter of a shape, you have to add up all the side lengths :
[tex]p = 31 + (4 {x}^{2} + 8x) + (3 {x}^{2} - 5x + 20) + (7x + 30)[/tex]
[tex]p = 31 + 4 {x}^{2} + 8x + 3 {x}^{2} - 5x + 20 + 7x + 30 [/tex]
[tex]p =( 7 {x}^{2} + 10x + 81) \: inches[/tex]
Find dy/dx of (3 - 2x)-1/2
Answer:
Step-by-step explanation:
To evaluate the derivative of this function you need the chain rule. The pattern I teach to my calculus students is to find
u =
u' =
f(u) =
f'(u) =
First pick your "u". u will be the inner function, the one inside the parenthesis.
u' will then be the derivative of u.
f(u) is the function in terms of u, and
f'(u) is the derivative of the function in terms of u.
The derivative then, finally, will be u' * f'(u). Let's begin.
Our u, or the part of the function inside the parenthesis is 3 - 2x; hence,
u = 3 - 2x
The derivative, u', then is
u' = -2
f(u) is the function in terms of u, so
f(u) = [tex]u^{-\frac{1}{2}[/tex] and the derivative in terms of u is
f'(u) = [tex]-\frac{1}{2}u^{-\frac{3}{2}[/tex]
u' * f'(u) then is
[tex]-\frac{1}{2}u^{-\frac{3}{2}*(-2)[/tex] Simplify that by subbing back in for u and multiplying -2 by -1/2 to get
[tex]y'=(3-2x)^{-\frac{3}{2}[/tex]
Find the area of this triangle..
Answer:
39.936 ( not rounded )
Step-by-step explanation:
Use Pythagorean theorem
a^2 + 6.4^2 = 9^2
height = 6.24 (rounded to nearest hundredth)
1/2 * base * height = area
1/2 * 12.8 * 6.24
= 39.936 ( not rounded )
PLZ HELP ASAP--------->
Emanuel was charged $32 for a 14 2/9km taxi ride What was the cost per kilometer?
Which answers are equivalent to the fraction below? Check all that apply
12/16
A.1/2 B.6/8 C2/3 D.2/6 E.3/4 F.6/4
Answer: e
Step-by-step explanation: 12/16 6/8 3/4
Answer:
B and E.
Step-by-step Explanation:
B: 6/8
6*2=12
8*2=16
12/16
E: 3/4
3*4=12
4*4=16
12/16
Hope this helps!!!!!
What is one of the zeros of the function shown in this graph?
Answer:
-4 or 2Step-by-step explanation:
the x-intercepts of the graph are the zeros of the quadratic function
Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1. Malachy gets 5 sweets. How many did Sushil get?
Answer:
Sushil got 15 sweets
Step-by-step explanation:
we can use law of indices property as shown below
a:b:c = ax:bx:cx
that if we multiply each term of ratio by same number , the ratio does not change
____________________________
given
Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1.
let
Malachy gets 1x sweets
sushil gets 3x sweets
Fiona gets 1x sweets
but given that
Malachy got 5 sweets
thus
1x = 5
x = 5
Sushil got 3x sweets = 3*5 = 15 sweets.
Sushil got 15 sweets.
Given that y is directly proportional tox, and when y = 8 when x=
10.
(a) Write down the equation of y in terms of x.
(b) Find the value of y when x = 25.
8
(c) Find the value of x when y==
25
Answer:
see explanation
Step-by-step explanation:
(a)
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 8 when x = 10. then
8 = 10k ( divide both sides by 10 )
0.8 = k
y = 0.8k ← equation of proportion
(b)
when x = 25, then
y = 0.8 × 25 = 20
(c)
when y = 25, then
25 = 0.8x ( divide both sides by 0.8 )
x = 31.25
X^4+9 which pattern can we use to factor the expression?
Answer:
[tex]\left(x^2+3i\right)\left(x^2-3i\right)[/tex]
Step-by-step explanation:
[tex]x^4+9[/tex]
[tex]x^4+9[/tex] can be written as [tex]x^4--9[/tex].
Apply the formula for the difference of two squares.
[tex](a^2-b^2)=(a+b)(a-b)[/tex]
[tex]-9=3i^2[/tex]
[tex]x^4=(x^2)^2[/tex]
[tex](x^2)^2-(3i)^2=(x^2+3i)(x^2-3i)[/tex]
Answer:
(x^2 - 3i) ( x^2 +3i)
Step-by-step explanation:
X^4+9
x^4 - -9
This is the difference of squares (a^2 - b^2) = (a-b)(a+b)
(x^2) ^2 - ( 3i)^2
(x^2 - 3i) ( x^2 +3i)
In triangle ABC, the side lengths are AB = 13, AC = 21, and BC = x. Write a compound inequality that represents the range of possible values for x.
Answer:
7 < x < 34
Step-by-step explanation:
The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.
Answer:
7 < x < 34
it just is
Sonya made a graph showing the first ten minutes of her drive to the movies. A graph with time on the x-axis and speed on the y-axis. The graph increases, increases rapidly, and then remains constant. Which description is the best interpretation of the graph? Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway. Sonya backed out of her driveway at a constant speed and then accelerated until she reached the street where the movie was playing. She stopped the car. Sonya drove down her driveway at a constant speed until she reached the street. She turned and drove down the street at a constant speed. Her car went slower as she drove up a hill. At the top of the hill she drove into the parking lot of the movie theater. Sonya accelerated as she drove down her driveway. She accelerated on the street on her way to the highway entrance. She waited for a red light, then accelerated onto the highway.
Answer:
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
Step by step explanation:
The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).
The best interpretation of the graph is,
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
What is Acceleration?When a point or an object moving in a straight line , the acceleration is the rate at which velocity changes with time, in terms of both speed and direction.
Here, we have,
The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).
Hence, The best interpretation of the graph is,
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
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I've attached the question in the picture below.
at a map scale of 1:1500, 12 centimeters on the map is equivalent to 1.8 kilometers on the ground.
step-by-step
since the scale is 1 to 15,000 you simply multiply it by the 12 cm
12cm × 15,000 = 180,000
but you still have to convert it to kilometers (the measurement on the ground).
to go from centimeters to kilometers move the decimal 5 place values to the left.
final answer
1.8 kilometers
John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tree? Find your answer to the nearest tenth.Instructions: Find the missing length indicated.
Answer:
5√17=
20.6
Step-by-step explanation:
[tex]adj \: = 5 \\ opp \: = 20 \\ hyp \: = \: \\ pythagoras \: theorem \: \: = \\ {hyp}^{2} = {opp}^{2} + {adj}^{2} [/tex]
[tex] {hyp \:}^{2} = {20}^{2} + {5}^{2} \\ {hyp }^{2} = 400 + 25 \\ {hyp}^{2} = 425 \\ \sqrt{ {hyp}^{2} } = \sqrt{425} [/tex]
[tex]hypotenuse \: = 5 \sqrt{17} [/tex]
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 20.6257 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The digram for the given condition is given below. Now, in ΔABC, the tangent value for ∠A can be written as,
tan(38°) = BC/AB
tan(38°) = 5 feet / AB
AB = 6.3997 feet
Now, in ΔABC and ΔADE for ∠A the value of the tangent can be written as,
tan(38°) = BC/AB = ED/AD
5/6.3997 = ED/(20 + 6.3997)
ED = 20.6257 feet
Hence, the height of the tree is 20.6257 feet.
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1
Select the correct answer.
The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross
section passing through the diagonals of opposite faces of this cube?
OA. 12 square centimeters
OB.
25 square centimeters
O C. 35 square centimeters
OD
49 square centimeters
Answer:35 square
Step-by-step explanation:
*QUICK HELP PLEASE
Which pairs of angles are adjacent? Select all that apply.
Answer:
1 and 3; 1 and 4; 2 and 3; 2 and 4
Step-by-step explanation:
Adjacent angles are those with a common side and common vertex (corner point). Of your choices, the ones provided above are the ones that meet the needs of adjacent angles.
Which of the sets of ordered pairs represents a function? (1 point)
A = {(2, 7), (1, −5), (7, 2), (2, −9)}
B = {(5, 3), (−2, −9), (−3, 8), (9, 3)}
Answer:
B = {(5, 3), (−2, −9), (−3, 8), (9, 3)}
Step-by-step explanation:
A function has no repeating inputs (x-values). One input is assigned to exactly one output.
In set 'A', the input of two is repeated.
A = {(2, 7), (1, −5), (7, 2), (2, −9)}
In set 'B', there are no repeating inputs.
Set 'B' is a function.
Brainilest Appreciated.
Mrs smith invests £30,000 (some in a 5% account, some in an 8% account). After the year shes earned £2100. How much did she put in each account? PLEASE HELP!!
Answer:
She deposited £10,000 in the 5% yield account and deposited £20,000 in the 8% yield account
Step-by-step explanation:
Let the amount she put in each account be £x and £y respectively
Total amount deposited is ;
x + y = 30,000 ••••••(i)
Now, let’s look at the earnings:
in the £x , amount earned would be;
5/100 * x = 5x/100
For the £y, amount earned would be;
8/100 * y = 8y/100
Adding both gives the total which is £2,1000
5x/100 + 8y/100 = 2,100
Multiply through by 100
5x + 8y = 210,000 ••••••••(ii)
From the first equation, we know that
x = 30,000 -y
Let’s put this into the second
5(30,000-y) + 8y = 210,000
150,000-5y + 8y = 210,000
3y = 210,000 -150,0000
3y = 60,000
y = 60,000/3
y = £20,000
So mathematically;
x = 30,000-y
x = 30,000 -20,000
x = £10,000
PLEASE HELP ME Logan has twice as many contacts in his phone as Marcus. Janet has 8 more then 1/3 of the number of contacts that Marcus has. Marcus has 243 contacts in his phone. How many more contacts does Logan have than Janet?
NEED HELP ASAP ‼️‼️I BELIEVE ANSWER IS C
Answer:
I agree with your answer C!!
Step-by-step explanation:
Steve Fossett is approaching the shores of Australia on the first successful solo hot air balloon ride around the world. His balloon, the Bud LightTM Spirit of Freedom, is being escorted by a boat (directly below him) that is 108 meters away. The boat is 144 meters from the shore. How far is Fossett's balloon from the shore?
Answer:
180 meters
Step-by-step explanation:
Distance from the balloon to the boat = 108 meters
Distance from the boat to the shore = 144 meters
Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.
Let the length of the hypotenuse = l
Using Pythagoras Theorem
[tex]l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters[/tex]
The distance from Fossett's balloon to the shore is 180 meters.
Fossett's balloon is 180m from the shore
data;
escort boat to the ballon = 108mboat from the shore = 144mdistance between the ballon and the shore = xPythagoras TheoremTo solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.
[tex]x^2 = y^2 + z^2\\[/tex]
Let's substitute the values and solve
[tex]x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m[/tex]
Fossett's balloon is 180m from the shore
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Given: ∆KLM, KL ≅ LM A∈ KM , B ∈ KM AK ≅ BM Prove:△AKL ≅ △BML ΔALB is isosceles
Answer:
ΔAKL is congruent to ΔBML by the Side Angle Side rule of congruency and ΔALB is isosceles as two of its sides [tex]\overline {AL}[/tex] and [tex]\overline {BL}[/tex] are congruent
Step-by-step explanation:
The given parameters are;
The given triangle ΔKLM has sides [tex]\overline {KL}[/tex] ≅ [tex]\overline {LM}[/tex], Given
ΔKLM is isosceles Δ (two equal segments), Definition of isosceles Δ
∠LKM ≅ ∠LMK, Base ∠s of isosceles Δ are ≅
Point A is on segment [tex]\overline {KM}[/tex], Given
Point B is also on segment [tex]\overline {KM}[/tex], Given
Segment [tex]\overline {AK}[/tex] ≅ segment [tex]\overline {BM}[/tex], Given
ΔAKL ≅ ΔBML, SAS rule of congruency
Segment [tex]\overline {AL}[/tex] ≅ segment [tex]\overline {BL}[/tex], CPCTC
ΔALB is isosceles (two equal segments), Definition of isosceles Δ
Where:
SAS = Side Angle Side
CPCTC = Congruent parts of congruent triangles are congruent.
Answer:
m∠AKL=m∠BML | Base Angle Theorem (Base ∠ TH.)
Step-by-step explanation:
KL=LM | Given
A ∈ KM | Given
B ∈ KM | Given
AK=BM | Given
m∠AKL=m∠BML | Base ∠ TH.
A mural inspired by a photograph measures 108 inches by 180 inches. The scale of the photograph to the mural is 1 in.:12 in. What are the dimensions of the photograph?
Answer:
9x9
Step-by-step explanation:
Divide 108/12
108/12=9
you have a 9x9 photo
hope this helps!
Find the range of the given function y = 5x + 2, where x > -2.
Answer:
Its -3,2,7
Step-by-step explanation:
Simply put, you plug in all values greater than -2. Which is what thst function tells you.
29:PLEASE HELP Solve the inequality x+6<-2
Answer:
x<-8
Step-by-step explanation:
x+6<-2
subract 6 from both sides
x+6-6<-2-6
x<-8
Serena wants to wrap ribbon around the edge of the picture frame represented in the drawing. Which is the simplified form of the expression representing the length of ribbon Serena will need? A. 9x – 13.2 B. 4.5x – 6.6 C. 9x – 14.8 D. 2(3.5x – 7) + 2(x + 0.4)
Answer:
A.9x – 13.2
Step-by-step explanation:
2*(3.5x-7+x+0.4)=2*(4.5x-6.6)=9x-13.2
Answer:
It is A
Step-by-step explanation:
Simplify : (-7/18 × 15/-7) - (1 × 1/4) + (1/2 × 1/4)
Answer:
17/24
Step-by-step explanation:
This expression simplifies to the following:
-7 15 1 1
---- * ----- - ----- + -----
18 -7 4 8
Reducing the product, we get
15 1
-------- - -----
18 8
and this simplifies further:
5 1
----- - -----
6 8
The LCD is 24. Thus, we have:
20 3 17
------ - ----- = -----
24 24 24
A new hockey stick costs $57.00 at the sporting goods store. If there is a 6%
sales tax, what is the actual cost of the hockey stick?
Answer:
$60.42
Step-by-step explanation:
0.06 x $57 = $3.42
$57 + $3.42 = $60.42
Hope this helped! :)