Answer:
a). 7
b). -17
c). -2
Step-by-step explanation:
You have to substitute the given x value into the equation.
a). f(3)= 3(3)-2
=9-2
=7
Decrease 4,500 by 18%.
Answer:
5,310.
Step-by-step explanation:
Answer:
3690
Step-by-step explanation:
Simplify 18% to 0.18
4500-(4500×0.18)
4500-810
=3690
8³ x 2⁷= •••
a.4¹⁶
b.2¹⁶
c.4⁸
d.2⁸
Answer: B:2^16
Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536
[tex]\boxed{\huge\text{Hey there!}}[/tex]
[tex]\huge\boxed{\mathsf{8^3 \times 2^7= \boxed{?}}}[/tex]
[tex]\huge\boxed{8^3}\\\huge\boxed{= 8\times8\times8}\\\huge\boxed{= 64 \times8}\\\huge\boxed{= \bf 512}[/tex]
[tex]\huge\boxed{2^7}\\\huge\boxed{= 2\times2\times2\times2\times2\times2\times2}\\\huge\boxed{= 4\times4\times4\times2}\\\huge\boxed{= 16\times8}\\\huge\boxed{= \bf 128}[/tex]
[tex]\huge\boxed{512 \times 128}\\\huge\boxed{= \bf 65,536}[/tex]
[tex]\huge\boxed{\textsf{ORIGINAL answer: \bf 65,536} \mathsf{\ and\ the}}\\\huge\boxed{\mathsf{EXPONENTIAL \ answer: \bf 2^{\mathsf{\bf 16}}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathsf{Therefore, your\ answer \ is: Option\ B. 2^{16}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
In an effort to persuade customers to reduce their electricity consumption, special discounts have been offered for low consumption customers. In Florida, the EPA estimates that 70% of the residences have qualified for these discounts. If, instead, a sample of 20 residences is selected, what is the probability 12 or more will have qualified for the discounts
Answer:
please mark me brainlist
Step-by-step explanation:
p = proportion of residents qualified for discounts = 0.70
Sample size = 20
If X is the no of residences selected for discounts then x is binomial with (20,0.7)
P(X>=12) = 0.8867
Find the area of the triangle
Answer:
73.64 ft²
Step-by-step explanation:
bad at explaining but hope this helped <3
Use the identity property to answer the question.
Answer:
3k + 0 = 3k
Step-by-step explanation:
Identity property of addition states that the sum of 0 and the term would result in the term.
∴ in this case, 3k + 0 will result in 3k.
~
URGENT. Geometric Probability.
Answer:
Hello,
Step-by-step explanation:
heigth of the equilateral triangle:
[tex]h=3*\dfrac{\sqrt{3}}{2}[/tex]
Area of the triangle:
[tex]A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2} \\\\[/tex]
Area of the disk:
[tex]S=\pi*4^2=16\pi\\\\[/tex]
Probability:
[tex]p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}[/tex]
Answer:
Step-by-step explanation:
The height of the triangle is given as 6.5, the base is given as 6, therefore, the area of the triangle is:
[tex]A=\frac{1}{2}(6)(6.5)\\A=19.5[/tex]
The area of the circle is:
[tex]A=\pi(4)^2\\A=16\pi\\A=50.26548[/tex]
Divide the area of the triangle by the area of the circle:
[tex]\frac{19.5}{50.2654}*100=38.8[/tex]%
The probability that Jess will answer any question correctly, independently of her answer to any other
question, is p (p > 0). Let the random variable Y be the number of questions that Jess answers
correctly in any set of 25.
If Pr(Y > 23) = 6 x Pr(Y = 25), show that the value of p is 5/6
Answer:
I hope my answer helps :)
Step-by-step explanation:
P(Y > 23) = P(Y = 24) + P(Y = 25)
6P(Y=25) = P(Y = 24) + P(Y = 25)
6 = P(Y = 24)/P(Y = 25)+ 1
5 = (²⁵C24×p²⁴×q¹)/(²⁵C25×p²⁵×q⁰)
Since you know that q = 1 - p,
5 = 25{[p²⁴(1 - p)]/p²⁵}
1/5 = (p²⁴ - p²⁵)/p²⁵
1/5 = p^(-1) - 1
6/5 = 1/p
p = 5/6 (shown)
Pls help me !!! What is the area of rectangle
Answer:
B 48
Step-by-step explanation:
Ac=2AE, because AE=r, Ac=d, d=2r
Ac=2*5=10
The angle ADC is right, because it leans on the diameter AC,
find the leg DC, use the Pythagorus theorem
DC= sqrt (Ac^2-AD^2)= sqrt(100-36)=sqrt64=8
S= 6*8=48
Express 128 1/4 in simplest radical form.
Answer:
514/4
Step-by-step explanation:
128 1/4
= (128×4+1)/4
= 514/4
[tex]\\ \sf\longmapsto 128\dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{128(4)+1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{512+1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{513}{4}[/tex]
From a point on the ground 100m from its base, the angle of elevation of the top of the Burj Khalifa tower in Dubai is 83.1°. Draw a sketch and use it to calculate the height of the tower.
Answer:
Step-by-step explanation:
[tex]tan \ 83.1 = \frac{opposite \ side}{adjacent \ side} = \frac{BC}{100}\\\\8.2635 = \frac{BC}{100}\\\\8.2635*100=BC\\\\826.35 = BC[/tex]
Height of tower = 826.35 m
Write and solve a word problem that can be modeled by addition of two negative integers.
Answer:
Step-by-step explanation:
Question:
Max needs to purchase a car and withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?
Solution:
(-100) + (-50) =
-150
Answered by G a u t h m a t h
Find the slope (rate of change) of each representation. Please explain how you got it.
Answer:
m = -3/2
Step-by-step explanation:
To find the slope of the representation, use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
I'll pick (-4, 9) and (-2, 6) in this instance.
[tex]m=\frac{9-6}{-4-(-2)}\\\\m=-\frac{3}{2}[/tex]
Therefore, the slope of the representation is -3/2.
Answer:
-3/2
Step-by-step explanation:
To find the slope, we can use the formula
m = ( y2-y1)/(x2-x1)
= ( -6 -9)/(6 - -4)
= (-6-9)/(6+4)
-15/10
-3/2
2. Find the measure of eº.
D is a vertical angle to the given 159 degrees.
E + D need to equal 180 degrees.
E = 180 - D
E = 180 - 159
E = 21 degrees
Answer: 21 degrees.
Answer: e = 21°
Step-by-step explanation:
Angle d will be 159° because alternate exterior angles are equal.
Now angle e + angle d = 180 because they form linear pair
e + d = 180
e + 159 = 180
e = 180-159
e = 21
please click thanks and mark brainliest if you like :)
if 5^t = 0.04 ,then find the value of t
Answer:
t=-2
Step-by-step explanation:
Solve Exponent.
5t=0.04
log(5t)=log(0.04)(Take log of both sides)
t*(log(5))=log(0.04)
t=log(0.04)÷log (5)
t=−2
(10x²+19x+6) ÷(5x+2)
Answer:
2x + 3
Step-by-step explanation:
(10x² + 19x + 6) ÷ (5x + 2) =
= (10x² + 15x + 4x + 6) ÷ (5x + 2)
= [5x(2x + 3) + 2(2x + 3)] ÷ (5x + 2)
= [(5x + 2)(2x + 3)] ÷ (5x + 2)
= 2x + 3
Answer:
2x+3 is your answer
Find the approximate side length of a square game board with an area of 194 in2.
Answer:
root 194=13.928 inches
A 5 m high flagpole casts a shadow 4 m in length. What is the height of a tree that casts a shadow of 20 m at the same time?
Answer: 16m
Step-by-step explanation:
If we're assuming the ratio of height to shadow lenght is the same then
5:4
also equals
20:16
so the tree is 16 m tall
Find the value of x. Round to the nearest tenth
Answer:
658ft
Step-by-step explanation:
you first have to calculate the angle next to that 28°angle,if you look at the two they form a 90° so to find that angle you have to subtract 90-28=62
the x is the opposite of angle 62 and the 350 si the adjacent so you can use the tan ratio to find the answer
tan62=opposite/adjacent
tan62=y/350
y=tan62×350
=658ft
I hope this helps
the product of -9/17 and its reciprocal
the product of -9/17 and it's reciprocal will be 1
2(x + 4) - 8 = 36-10
Answer:
x=13
Step-by-step explanation:
Correct answer gets brainliest and 5 stars
Answer:
16 ft
Step-by-step explanation:
Slant Height=sqrt(Radius^2+Height^2)
Height=sqrt(20^2-12^2)=sqrt(256)=16 ft
52°
Х
X
tycoom whoever helps with thos
Answer:
142
Step-by-step explanation:
The exterior angle of a triangle is equal to sum of the opposite interior angles
x = 52+90
x = 142
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex]\large\bf{{\purple{ \longrightarrow \:\large\rm \: x \: = \: 52 \degree \: + \: 90 \degree }}} \\ [/tex]
[tex]\large\bf{{\purple{ \longrightarrow \:\large\rm \: x \: = \: 142 \degree }}} \\ [/tex]
4) There are 4 marbles and 3 cubes in a board game. The marbles are black, blue, yellow, and red. The cubes are numbered 1, 2, and 3. A player randomly selects one marble and one cube. What are all the outcomes? How large is the sample space? possible
Answer:
Here is the sample space, its size is 4*3 = 12:
Black 1Black 2Black 3Blue 1Blue 2Blue 3Yellow 1Yellow 2Yellow 3Red 1Red 2Red 3Answer:
According to your question :-
four marbles 3 cubesfour marbles :-
black blueyellow redcubes numbered as :-
123_______________________
outcomes :-
At black ..
Black 1Black 2Black 3At blue ..
Blue 1Blue 2Blue 3At yellow ..
Yellow 1Yellow 2Yellow 3At red ..
Red 1Red 2 Red 3________________________
Size ...
4 X 3 = 12 size,,
hopes its helps you.
List the coordinates for the plotted points A, B, C, and D.
Answer:
A= (3,1) ; B=(-2,-1) ; C=(-4,1) ; D=(-4,0)
Step-by-step explanation:
Plotted points are expressed by (x,y) , where the x is equal to the value that you read on the x plot and y is equal to the value that you read on the y plot.
PART A: Find a rational number that is between 5.2 and 5.5. Explain why it's rational.
PART B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Answer:
A. 5.3 B. 5.4
Step-by-step explanation:
A. because its a fraction
B. because it cannot be express as a ratio of two integers
What happens when you subtract a greater positive
number from a lesser positive number?
Answer:
You get negatives
Step-by-step explanation:
Imagine that you have 67 and you need to subtract that by 107
you would do 67-107 or 107-67 then add a negative symbol.
67 - 107 = -40
I want to rearrange the formula of 3+x=ax to find out what x is equal to. I already know the answer via the answer sheet but I want to know how to get that answer.
Answer:
See below.
Step-by-step explanation:
[tex]3+x=ax[/tex] (Given)
[tex]x=ax-3[/tex] (Subtracted 3 on both sides)
[tex]x-ax=-3[/tex] (Subtracted ax on both sides)
[tex]x(1-a)=-3[/tex] (Factor out x from x - ax)
[tex]x=-\frac{3}{1-a}[/tex] (Divided 1 - a on both sides)
Jillian bought 3 pounds of apples for $3.09 per pound. she then bought 6 pounds of peanuts for $0.87 per pound. How much did Jillian spend all together?
Answer:
Jillian spent $14.49 altogether.
Step-by-step explanation:
Let a = pounds of apples, p = pounds of peanuts, and t = total cost
t = 3.09a + 0.87p
t = 3.09(3) + 0.87(6)
t = 9.27 + 5.22
t = 14.49
What is a rule for the height
as an algebraic expression?
Answer: lenght x widthx height
Step-by-step explanation:
Samira and Sonia each have a bag containing 20 sweets. In each bag, there are 5 red, 6 green and 9 yellow sweets.
(a)
(b)
Samira chooses one sweet at random from her bag.
Write down the probability that she chooses a yellow sweet.
[1] Sonia chooses two sweets at random, without replacement, from her bag.
(i) Show that the probability that she chooses two green sweets is 3 . 38
(ii) Calculate the probability that the sweets she chooses are not both the same colour.
Step-by-step explanation:
there must be some typos here. but I try to address the right issues.
there is nothing under (a). so, really nothing to answer.
(b)
there are 20 sweets in her bag. 9 if the 20 are yellow.
so, the probability is the ratio of desired possibilities vs. total possibilities.
that is, tada! 9/20
that is the probabilty for Samira to pick a yellow sweet.
[1] (i)
again, 20 sweets to start with.
6 are green.
when she picks the first one, her probability to pick a green one is 6/20 = 3/10 = 0.3
and now, under the assumption that this came true, she picks another sweet.
this time she had only 19 left, and 5 of them are green.
so, this probabilty is 5/19
now both events need to happen for the case we are discussing. there is no overlapping, no ors, ifs and buts. it is just the product of both probabilities.
3/10 × 5/19 = 15/190 = 3/38
I think that is what the description asks for.
(ii)
that probability is
first selection is red and second is not red +
first selection is green and second is not green +
first selection is yellow and second is not yellow
so,
red and not red
5/20 = 1/4 red
15/19 not red (there are still 15 sweets of other colors in the bag, but again now only 19 total).
red and not red = 1/4 × 15/19 = 15/76 = 0.1974
green and not green
6/20 = 3/10 = green
14/19 = not green
green and not green = 3/10 × 14/19 = 52/190 = 26/95 =
= 0.2737
yellow and not yellow
9/20 = yellow
11/19 = not yellow
yellow and not yellow = 9/20 × 11/19 = 99/380 = 0.2606
so, now assuming up all 3 possibilities ("or" = sum) gives us the general possibility of selecting two different colors
= 0.7316
