Answer:
4 nickels
12 dimes
9 quarters
Step-by-step explanation:
x = number of nickels
y = number of dimes
z = number if quarters
0.05×x + 0.1×y + 0.25×z = 3.65
y = 3x
z = 2x + 1
0.05x + 0.1×3x + 0.25×(2x + 1) = 3.65
5x + 30x + 25×(2x + 1) = 365
35x + 50x + 25 = 365
85x = 340
x = 340/85 = 4
y = 3×4 = 12
z = 2×4 + 1 = 9
f(x) = (x - 5) (2x - 7) (7x - 3) has zeros at x = -3.5, x = 3/7, and x = 5.
what is the sign of f on the interval 3/7 < x < 5 ?
1. f is always positive on the interval.
2. f is always negative on the interval.
3. f is sometimes positive and sometimes negative on the interval.
The function f(x) will be sometimes positive and sometimes negative on the interval so option (3) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.
Given function is
f(x) = (x - 5) (2x - 7) (7x - 3)
The term (x - 5) will be negative if x < 5.
The term (2x - 7) will be negative if x<3.5
Let's say if x = 4 then (x - 5) will be negative but (2x - 7) will be positive and hence overall value will be negative.
But if x = 3 then (x - 5) will be negative and (2x - 7) will also be negative and hence overall value will be negative
Hence the function f is sometimes positive and sometimes negative on the interval.
For more about the function
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Answer:
always negative the other guy was wrong because when you wrote 2x - 7 you meant 2x + 7 I know this because it’s on Khan Academy
Step-by-step explanation:
Simplify -52 + 8|-1| + (-3).
solve 3/4 (x+1)+1=1/2 (×-2)+5
Answer:
X=5 or 3/4x-1/2x=6-1
Step-by-step explanation:
3/4(x+1)+1=1/2(x-2)+5
3/4x+1=1/2x-6
3/4x-1/2x=6-1
x=5
The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
T-Test
μ<4.00
t=-3.033077
p=0.002025
x=3.48
Sx=1.150075
n=45
Answer:
Kindly check explanation
Step-by-step explanation:
Given the T test output :
T-Test
μ<4.00
t=-3.033077
p=0.002025
x=3.48
Sx=1.150075
n=45
Given that population mean, μ = 6
Confidence level, α = 0.05
The hypothesis :
H0 : μ = 6.00
H1 : μ < 6.00
From the t test output given :
The test statistic :
T = -3.033077
T = - 3.03 (2 decimal places)
The Pvalue :
P = 0.002025
Pvalue = 0.002 (3 decimal places)
The conclusion :
Decision region ; Reject H0 : if Pvalue < α
Since ; Pvalue < α
Reject H0 ; There is sufficient evidence to support claim that sample is from a population with a mean less than 6.
The translation of ABCD to A'B'C'D'
is given by (×+[?].y-[ ]).
Answer:
(x + 1 , y - 3)
Step-by-step explanation:
Compare x-coordinate of A(-6,1) and A'(-5,-2)
-6 + a = -5
a = -5 +6 = 1
x- coordinate of A' = x coordinate of A + 1
Compare y-coordinate of A(-6,1) and A'(-5,-2)
1 + a =-2
a = -2 - 1 = -3
y- coordinate of A' = y coordinate of A - 3
A(-6 , 1) = A'(-6+1 , 1-3) = A'(-5, -2)
D(( -1 , 1) = D'(-1+1, 1 - 3) = D'(0,-2)
C(-2,3) =C'(-2+1, 3-3) = C'(-1,0)
B(-4,3)= B'(-4+1 , 3-3) = B'(-3,0)
Answer:
1, 3
Step-by-step explanation:
which of the following data sets could most likely be normally distributed
a. yearly income for California residents
b. total points scored by a basketball team the whole season
c. daily temperature high for winter in 25 US cities
d. blood pressure
Jacob earned $80 babysitting and deposited the money into his saving account. The next week he spent $85 on video games. Use integers to describe the weekly changes in Jacob's savings account balance.
Answer:
Net change in money: decrease of $5
Step-by-step explanation:
supposing Jacob started with x dollars:
He gained $80 from babysitting: x+80
Lost 85: x + 80 - 85
--> x - 5
Therefore, at the end of the week, Jacob lost 5 dollars
What is the range of the function$$f(x) = \frac{1}{1-x}~?$$Express your answer in interval notation.
I think you tried copy pasting the thing in here. usually written equations on tests or whatever don't copy paste well
solve for x on the diagram below
Answer:
20 is the answer
Step-by-step explanation:
x+3x+10=90(right angle triangle)
4x=90-10
x=80/4
x=20°
Answer:
x = 20
Step-by-step explanation:
Based on the square indication at the corner of the angle, we can assume it's a right angle, so 90°. This means that x + 3x + 10 = 90. Solve it like any algebraic equation, isolating x. add x to 3x + 10, this would net you 4x + 10 = 90. Subtract 10 on both sides of the equation to further isolate x, meaning 4x = 80. Simplify this, dividing 4 on both sides, meaning x = 20.
PLS HELP QUICKLY
Find x:
Answer: 9
Step-by-step explanation:
2- 4x
= *9
what is 10 5/8 - 8 2/7
Answer:
2 19/56 is the answer.
Step-by-step explanation:
10 5/8 - 8 2/7
or, 85/8 - 58/7
or, (595-464)/56
or, 131/56
= 2 19/56
please help asap!!! i dont understand it
Answer:
a
Step-by-step explanation:
A perpendicular bisector, intersects a line at its mid point and is perpendicular to it.
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13)
m = [tex]\frac{13-1}{9-(-7)}[/tex] = [tex]\frac{12}{9+7}[/tex] = [tex]\frac{12}{16}[/tex] = [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex] ← slope of perpendicular bisector
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
using (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13) , then
midpoint = ( [tex]\frac{-7+9}{2}[/tex], [tex]\frac{1+13}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex], [tex]\frac{14}{2}[/tex] ) = (1, 7 )
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{4}{3}[/tex] , then
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute the midpoint (1, 7) into the partial equation
7 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = [tex]\frac{21}{3}[/tex] + [tex]\frac{4}{3}[/tex] = [tex]\frac{25}{3}[/tex]
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{25}{3}[/tex] ← equation of perpendicular bisector
in what interval is the function f(x)=squareroot x^2+5x+4 defined
9514 1404 393
Answer:
(-∞, -4] U [-1, ∞)
Step-by-step explanation:
The quadratic expression factors as ...
x^2 +5x +4 = (x +4)(x +1)
The zeros of this expression are where these factors are zero, at x=-4 and x=-1. The product is negative when one factor is negative and the other is positive, in the region -4 < x < -1. It is non-negative elsewhere. f(x) is defined where the quadratic is not negative, on the union of intervals ...
(-∞, -4] U [-1, ∞)
Answer:
-4 <= x >= -1
Step-by-step explanation:
Find where x^2+5x+4 < 0, negative sq roots are imagingary numbers.
So factor
(x + 4) (x + 1) = 0
x = -4 and x = -1
so x must be <= -4 or x >= -1
the interval is
-4 <= x >= -1
Which could be the graph of f(x) = |x - h| + k if h and k are both positive?
Answer:
The first option would be your answer. The graph should be positive due to the modulus.
The first option is good.
Hope it helped!
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the quotient of 2 2/7 divided by 4/7
The answer is 4.
Solution:
2 2/7 ÷ 4/7
Transform to improper fraction,
So,
16/7 ÷ 4/7
16/7 × 7/4
4
if u can help be fast please
A) 5 sides = 72.00
interior =108.00
B) 9 sides = 40.00
interior = 140.00
C) 15 sides = 24.00
interior = 156.00
D) 19 sides = 18.95
interior = 161.05
These are exterior angles right? y'know what I'll just put both
Does the point (2, 6) lie on the circle shown? Explain.
O Yes, the distance from (3, 0) to (0, ) is 3 units.
O Yes, the distance from (0, 0) to (2, V6) is 3 units.
O No, the distance from (3, 0) to (2, 6) is not 3 units.
O No, the distance from (0, 0) to (2, 6) is not 3 units.
Answer:
A.
Step-by-step explanation:
the square root of 6 is roughly 1.57
so that means the ordered pair would read (2,1.57).
if you were to plot that point it would be on the circle.
Also the distance from the origin (0,0) to (3,0) is 3 units
We will see that the correct option is:
"No, the distance from (0, 0) to (2, 6) is not 3 units."
Does (2, 6) lie on the circle shown?
We know that the circle has a radius of 3 units, then we need to see if the distance between (0, 0) and (2, 6) is 3 units.
Here we have:
[tex]D = \sqrt{(6 - 0)^2 + (2 - 0)^2} = \sqrt{36 + 4} = \sqrt{40} \neq 3[/tex]
So the distance between (0, 0) and (2, 6) is different than 3 units, meaning that the point is not in the circle.
If you want to learn more about circles:
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Verify the identity.
[tex]cot (x-\frac{\pi }{2})=-tan[/tex]
Answer:
True
Step-by-step explanation:
assuming that you meant to write
cot (x-π//2) = - tan x
the identity is TRUE because,
- you can graph cot (x-π//2) and - tan x, and see that the graphs overlap
OR
-you solve for cot (x-π/2)
useful to know is that :
cot x=1/tan x, tan x = sin x/cos x,
cos(x) =cos(-x), sin(-x) = -sin x,
cos(π/2 -x) =sin x, sin (π/2-x) =cos x
cot (x-π/2) = 1/tan (x-π/2) , yet tangent is sin x/cos x
cot (x-π/2) = cos (x-π/2) /sin (x-π/2) , factor -1
cot (x-π/2) = cos -(π/2-x) /sin -(π/2-x), use facts: cos(x) =cos(-x), sin(-x) = -sin x
cot (x-π/2) = cos (π/2-x) / -sin (π/2-x), use cos(π/2 -x) =sin x, sin (π/2-x) =cos x
cot (x-π/2) = sin x / -cos x , again sin x /cos x = tan x
cot (x-π/2) = -tan x
HELP DUE IN 10 MINUTES
Answer:
Step-by-step explanation:
For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169
Solve algebraically, b^2= 144, so b=12, which is the height.
Part B
Determine the surface area of each cardboard piece, and add together.
20 × 13 × 2 = 520
1/2 × 10 × 12 × 2 = 120
20 × 10 = 200
So approximately 840 cm of cardboard was used
Inverse proportion
fourteen people could paint 35 identical plates in 2 hours
At this rate, how long would it take 20 people to paint 60 identical plates?
I know answer I just need explanati
:]
Answer:
let the number of plate be n,rate be r and number of people be p
P=K(constant)/(n*t)
K=PNT
K=14*35*2
K=980
T=(K)/(PN)
T=980/(20*60)
T=980/1200
T=0.817 hours=49 minutes.
1)a)write any three rational numbers .
Answer : 3/4,-2/6,1/2 is are called rational
number.
b)Explain rational numbers in your own words .
Answer: A number which can be written in the form p/q , where p and q are integers and q = 0 is called a rational number
Step-by-step explanation:
1)1/2,1/5 and 0
2)In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer
Find the measure of the indicated angle to the nearest degree
[tex]\boxed{\sf tan\theta=\dfrac{p}{b}}[/tex]
[tex]\\ \sf\longmapsto tan\theta=\dfrac{13}{20}[/tex]
[tex]\\ \sf\longmapsto tan\theta=0.6[/tex]
[tex]\\ \sf\longmapsto tan\theta\approx\dfrac{1}{\sqrt{3}}[/tex]
[tex]\\ \sf\longmapsto tan\theta\approx tan60[/tex]
[tex]\\ \sf\longmapsto \theta\approx 60°[/tex]
On the coordinate plane, point P is located at (3, y) and point Q is located at (1, -4). The distance between
points P and Q is 29 units.
What are the two possible values of y?
Answer:
y = 23, -31
Step-by-step explanation
ttyl
I met this hella weird cryptic dude who interviewed me and gave me this puzzle. Solve it within 12 hours and ill let you know what he says. Row zero (0) must be solved.
Your final code should contain nine (9) letters, and one (1) number. The number two (2) has been given to you as the first character in your final code.
Disclaimer: This code is foreign, meaning it is not a word or sentence from any language. It is a string of specific characters. You will be given a second, simpler cipher to decrypt that reads "graph." It has already been solved for you. Understanding how this smaller chart produces "graph" will grant you the deciphering method used for the large cipher.
This cipher must be completed at maximum twenty-four (24) hours from reception. Failure to complete in this time will result in re-calibration via interviewing, not disqualification, should you (as a participant) wish to continue.
To validate this code, or request further clarification, refer to this account.
Speaking to any personnel regarding the cipher without supervision is strictly prohibited, and will result in disqualification.
HINTS:
"^," or Carrots, signify a capitalized letter in the string. Capitalization matters.
Everything you need to complete this cipher is given here.
Only very basic math was used to encrypt this key (Multiplication and Division).
You are not allowed to ask others for help without the supervision of the employment center. We will know if you've leaked, or gave any information out regarding this Cipher. We are entrusting you with it.
Best of luck
no cheating thanks <3
The internal dimension of a lidless wooden box is 48cm × 38cm × 32cm. If the thickness of the tank is 1 cm, find the volume of the wooden box
Step-by-step explanation:
this is confusing.
first the description says "the internal dimensions".
and then it tells us the thickness of the tank walls (1cm).
so, I am not sure what the given numbers describe.
in any case, the volume is length × width × height.
so, either
48×38×32
or
46×36×31 (as for length and width we need to consider 2 walls, one on each end, for the height only one wall, as the tank is open and lidless.
whatever you choose, make sure to mark the result as cm³.
Find the area of the shaded regions:
Answer:
18[tex]\pi[/tex]
[tex]\frac{80}{360} * 81 \pi[/tex]
Step-by-step explanation:
complete the square x^2+45=-14x
I need help please slope
Answer:
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35) 75-35/30-10 would be your slope, or, 40/20, or simplified, 2.
Your slope is 2
HELP QUICK ILL GIVE BRAINLIEST
Answer:
here's the answer to your question
Answer: √18
√(4-1)^2 + (5-2)^2
√9 + 9
√18
Answered by Gauthmath must click thanks and mark brainliest
m. Proportions
1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?
Answer:
height of tree is 27 ft
Step-by-step explanation:
The corresponding parts of the problem are in proportion
let h be the height of the tree , then
[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )
7h = 189 ( divide both sides by 7 )
h = 27
Height of tree is 27 feet
