Which graph represents the function?
f(x)=3√x + 2
Need this for a homework assignment, have been stuck for an hour and a half.
A designer is planning a trail mix box that is shaped like a rectangular prism. The front of the box must have the width and height shown. Volume of the box must be 162 cubic inches. What must be the depth, d, of the box?
Answer:
The box must be 2.4 in deep.
Step-by-step explanation:
Front dimensions are 9 in by 7.5 in. Find the area of the front: it is
A = (9 in)(7.5 in) = 67.5 in^2. One way to complete this work would be to divide the given volume by this area, 67.5 in^2.
A slightly different approach follows:
The volume must be 162 in^2. Given V = (width)(height)(depth),
V
(depth) must be -----------------------
(width)(height)
In this particular case,
162 in^3
(depth) must be ----------------------- = 2.4 in
(7.5 in)(9 in)
The box must be 2.4 in deep.
The probability of winning a coupon at the grocery store checkout is 2/25. What is the probability of not winning?
The probability of not winning the coupon at the grocery store given the probability of winning the coupon is 23/25.
What is the probability?Probability determines the likelihood of the occurence of an event. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of not winning the coupon = 1 - probability of winning
1 - 2/25 = 23/25.
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Is (3,6) a solution to this system of equations?
y=2x+1
y=4x+6
Step-by-step explanation:
y = 2x + 1 -------- (I)
y = 4x + 6 --------(ii)
from eqn (I)
y = 2x + 1
sub y = 2x + 1 in eqn (ii)
2x + 1 = 4x + 6
2x - 4x = 6 - 1
-2x = 5
x = -5/2
sub x = -5/2 in eqn (I)
y = 2(-5/2) + 1
y = -5 + 1
y = -4
Therefore, (x, y) = (-5/2, -4)
What does * mean after a word?
that usually means that word has a definition that will be given at the bottom of the page or in the glossary depending on what type of book or excerpt of text you have.
hope this helps!
Solve the inequality. Graph the solution. -3y<-14
Answer:
y > 14/3
Step-by-step explanation:
-3y<-14
Divided both sides by -3. Because divided by a negative number, the < will switch to the >
y > 14/3
A new surgery is successful 70% of the time , if the results of 8 such surgeries are randomly sampled, what is the probability that more than 5 of them are successful?
Answer:
P (x>5) = 0.5324014=0.523
Step-by-step explanation:
Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3
Number of surgeries= n= 8
Applying the binomial distribution
( p+q) ^n= nC x p^x . q^n-x
More than 5 means 6,7, and 8
( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3
=56* 0.16807*0.027
= 0.254121
( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2
= 28* 0.1177* 0.09
= 0.296604
( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1
= 8* 0.0824* 0.3
= 0.19776
( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0
= 1* 0.05765* 1
=0.05765
Adding the above all probabilities gives
P (x>5) = P (x=6) + P(x=7) + P(x=8)
= 0.296604+0.19776+0.05765
= 0.5324014
Maisy and Oliver converted some pounds (£) into euros (€) at two different shops. Maisy converted £40 into €47.20 at shop A. Oliver converted £83 into €96.28 at shop B. Byron converted some pounds at one of these shops and received €68.44. What is the smallest amount that he could have converted?
The smallest amount that Byron could have converted is £73.44.
What is exchange rate?An exchange rate is the rate at which one currency can be exchanged for another currency. It is the value of one country's currency against another country's currency. Exchange rates fluctuate based on supply and demand for a particular currency, as well as economic and political factors.
Exchange rates are typically quoted as the value of one currency in terms of another currency. For example, an exchange rate of 1.2 US dollars (USD) to 1 Euro (EUR) means that 1 EUR can be exchanged for 1.2 USD.
There are two types of exchange rates, Floating and Fixed exchange rate.
According to question :-
To determine the smallest amount that Byron could have converted, we can use the exchange rate from shop A, which is €47.20 for £40.
If we divide the amount of euros he received (€68.44) by the exchange rate (€47.20 for £40), we get:
€68.44 ÷ €47.20/£40 = £73.44
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e:f =2:5 f:g=3:4 work out e:g in simpliest form
After a work out, the simplest form of e:g is 3:10.
What is a ratio?Ratio is an expression which shows the relationship between two numbers or variables. It can generally be expressed in two forms, viz; a:b or a/ b.
To work out the simplest form of e:g as required in the question,
e/ f = 2/ 5
2f = 5e ........... 1
f/g = 3/ 4
3g = 4f ........... 2
From equation 1,
f = 5e/2
substitute the value of f in equation 2
3g = 4(5e/2)
3g = 10e
Therefore, e:g is given as;
3/ 10 = e/ g
3:10 = e: g
Thus in its simplest form, e:g = 3:10
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Plz, help me with this question!
Answer:
Rectangle
Step-by-step explanation:
If the base is a square that means the cross-section can also be a square.
y=-5 8x+5y=-17 substitution
[tex]8x+5y=-17[/tex] when y is -5
Substitute for y with given value:
[tex]8x+5(-5)=-17[/tex]
[tex]8x-25=-17[/tex]
Add 25 to both sides:
[tex]8x-25+25=-17+25[/tex]
[tex]8x=8[/tex]
Divide both sides by 8:
[tex]\dfrac{8x}{8} =\dfrac{8}{8}[/tex]
[tex]\fbox{x = 1}[/tex]
find the slope. please help
A rectangular con lot of land is 0.4 kilometer long and 0.07 kilometer wide. What is its area in square kilometers?
Answer: 0.28 Km^2
Step-by-step explanation:
A= L x W
=0.4x0.7
=0.28
Y = -17.5x + 2.7x + 14.1 - 11.9x
Answer:
y=-26.7x+14.1
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
y=−26.7x+14.1
Step-by-step explanation:
y=−17.5x+2.7x+14.1−11.9x
y=−26.7x+14.1
Solve for x:
Step 1: Flip the equation.
−26.7x+14.1=y
Step 2: Add -14.1 to both sides.
−26.7x+14.1+−14.1=y+−14.1
−26.7x=y−14.1
Step 3: Divide both sides by -26.7.
x=−0.037453y+0.52809
Solve for y:
y=−26.7x+14.1
expressions equivalent to -2(x-5)
Answer:
-2x + 10
Step-by-step explanation:
Apply the distributive law: a(b - c) = ab - ac
-2(x - 5 ) = -2x - ( -2) x 5
= - 2x - ( - 2 ) x 5
- ( -2 ) x 5 = 10
= -2x + 10
What is the rule for quadrant 4?
All points in Quadrant IV have a positive x-coordinate and a negative y-coordinate.
The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant. The x-axis in this quadrant has positive values, whereas the y-axis has negative numbers.
A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from first to fourth.
A quarter of a circle; a 90° arc. the region enclosed by an arc and two radii are drawn one to each extreme. As a mechanical component, anything is shaped like a quarter of a circle.
All Quadrant I points have two positive coordinates.
Quadrant II points all have a negative x-coordinate and a positive y-coordinate.
All Quadrant III locations have two negative coordinates.
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ANSWER SOON PLS Which of these sets of ordered pairs would define a line with a negative slope? A. (2, 3) and (7, 6) B. (2, 3) and (-4, -1) C. (5, 5) and (0, 1) D. (3, 6) and (5, 1)
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
A soft drink company is conducting research to select a new design for their can. A sample of 9 participants has been selected. Instead of a typical taste test with two different sodas, they give each participant the same soda twice. One drink is served in a predominantly red can, the other in a predominantly blue can. The order the two cans are used is chosen randomly. Participants are asked to rate each drink on a scale of 1 to 10. The mean difference between the rating of the red and blue can for the 9 participants is -0.56 with standard deviation 2.19. Researchers would like to determine whether or not the mean difference in ratings between the red and blue can is 0.
The p-value for this hypothesis test is 0.4676. Select the correct decision below.
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. Reject the alternative hypothesis.
d. Accept the null hypothesis.
Answer:
Option B
Step-by-step explanation:
The p value is greater than 0.05.
Hence there are not enough evidences to reject the null hypothesis.
Basically no effect is observed when p>0.05
Hence, the test results are statistically significant
Option B is correct
An object is placed at a certain distance on the principal axis of a concave mirror. The image is formed at a distance of 30cm from the mirror. Find the object distance if radius of curvature R=15cm.
Answer:
Object distance, u = -6 cm
Step-by-step explanation:
Given that,
The radius of curvature, R = 15 cm
The radius of the mirror, f = -7.5 cm
We need to find the object's distance from the mirror. The mirror's formula is used to find the object distance such that,
[tex]\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{f}-\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{(-7.5)}-\dfrac{1}{30}\\\\u=-6\ cm[/tex]
So, the object distance is 6 cm.
25 less than the sum of a number and 5 results in 15 what is the number
The number is 35.
What is an equation?
An equation is a statement of equality between two expressions. It uses the equal sign (=) to show that the expressions on either side of the sign have the same value.
For example 2x+3=5y-7z, and x+y=5 are examples of equations.
In solving your problem,
25 less than the sum of a number and 5 results in 15, can be written as an equation like this:
let x be the number we want to find.
x + 5 =15+25 (25 less than the sum of x+5)
x + 5 = 40
then
x=40-5
x=35
So the number is 35.
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If someone could pls help me with this that would be great!!
i need help with B) C) and D)
Please Help me!!!
Answer:
b is the right answer
Step-by-step explanation:
ASAP
HELP JUST THE ANSWER
Answer:
40:15 simplified is, (i divided by 5) 8:3
Ratio is when you have a number to a number just put them together but put a colon between them to make it a ratio, thats all ;D. It's basically a fraction.
But you can also simplify ratios just like fractions because they are fractions!
Answer:
D. 8:3
Step-by-step explanation:
40/15
Simplify:
8/3
Which undefined term can contain parallel lines?
line
plane
point
ray
HELP
i been trying for a while and cant get it
The ordered pair for the function y = -(x/3) + 2 is (-3, 3), (0, 2), (3, 2) and (6, 0)
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the function:
y = -(x/3) + 2
At x = -3:
y = -((-3)/3) + 2 = 3
At x = 0:
y = -(0/3) + 2 = 2
At x = 3:
y = -(3/3) + 2 = 1
At x = 6:
y = -(6/3) + 2 = 0
The value of y when x = -3 is 3
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Match each object which the characteristics.
Answer:
Ray goes with horizon
Line goes with a broom handle
Parallel lines goes with rows of seats on a plane
Line segment goes with a sun ray
Point goes with cookie crumb
Perpendicular lines goes with the letter T
Step-by-step explanation:
Not sure how to explain it
What is the inverse of 9 by 7?
-9/7 is the inverse of 9/7.
-9/-7 = 9/7
9/7 + (-9/7) = 0
-9/7 is consequently the additive opposite of -9/-7.
By merely switching the integer's sign, you can add the original number and the additive inverse to produce a result equal to 0. The value that, when added to the original number, results in zero is known as a number's additive inverse. It is what we add to a number to make it equal to zero. Considering that an is the starting number, its additive inverse will be a minus one, or -a, such that;
a+(-a) = a – a = 0
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Use the picture of the circle below to find the area of the circle. Use 3.14 for π and show your work.
Answer:
254.34 in^2
Step-by-step explanation:
To calculate the Area of Circle is πr^2
r is the radius of the circle
In this problem, the diameter is given which is 18 in. To find the radius you have to divide the diameter by 2.
18/2 = 9 in is our radius
Area of Circle = π9^2
= 3.14*81
= 254.34 in^2
Solve the following system of equations.
5x - 4y= -16
2x+9y=-17
Answer:
Im kind of confused if I rewrite or find the y and x intercept to this equation but I hope this helps.
if you can please give me brainliest.