Answer:
250
Step-by-step explanation:
V = LWH
5 * 5 * 10 = 250
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.The equation ex = 6 − 5x is equivalent to the equation f(x) = ex − 6 + 5x = 0. f(x) is continuous on the interval [0, 1], f(0) = ____, and f(1) = ____. Since f(0) < 0 < f(1), there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 6 − 5x, in the interval (0, 1).
Answer:
f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 11
Step-by-step explanation:
hope this helps
There is a root in the given equation ex = 6 − 5x, in the interval (0, 1).
It is required to find the functions has f(0) and f(1).
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
Using Intermediate value Theorem we have
If F(x) is continuous and f(a) and f(b) have opposite signs then there will be at a point (a ,b) whereby F(c) = 0
The equation is
[tex]f(x) = e^{x} - 6 + 5x = 0[/tex] on interval [0, 1],
This shows that the F(x) is continuous on (0,1).
[tex]f(0) = e^{0} - 6 + 5*0 = -5\\ \\f(1) = e^{1} - 6 + 5*1 = e-1[/tex]
e = 2.7182
since the functions has f(0) and f(1) have opposite signs then there is at a point whereby F(c) = 0 ( intermediate value theorem fulfilled )
Hence, there is a root in the given equation ex = 6 − 5x, in the interval (0, 1).
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How many seconds would it take to fill up one gallon
Answer:
5 seconds
Step-by-step explanation:
(60 / seconds = GPM)
60 / 5 = 12 GPM
12 GPM = 60 seconds
Simplified
1 Gallon is 5 seconds
Answer:
5
Step-by-step explanation:
Which figure below has point symmetry
Answer:
Figure D
Step-by-step explanation:
Point Symmetry is when every part has a matching part: the same distance from the central point. but in the opposite direction. Hope this helps! :)
Is the statement "The solution set of a linear system involving variables x 1 comma ... comma x Subscript n is a list of numbers (s 1 comma ... comma s Subscript n Baseline )that makes each equation in the system a true statement when the values s 1 comma ... comma s Subscript n are substituted for x 1 comma ... comma x Subscript n Baseline comma respectively" true or false? Explain. A. True, because the list of variables (x 1 comma ... comma x Subscript n Baseline )and the list of numbers (s 1 comma ... comma s Subscript n Baseline )have a one-to-one correspondence. B. False, because the description applies to a single solution. The solution set consists of all possible solutions.
Answer:
B. False, because the description applies to a single solution. The solution set consists of all possible solutions.
Step-by-step explanation:
The choice of true or false revolves around whether a linear system can have more than one solution.
The problem statement does not say the equations are independent, a condition that must be satisfied if there is to be only one solution. Hence we must assume that the system may be dependent or even inconsistent, leading to zero, one, or an infinite number of solutions. The answer above carries its own explanation.
False, for the reason given
if an ice cream truck drives fives 7 miles per hour, how many feet does the truck drive per minute?
Answer:
616 ft/min
Step-by-step explanation:
1 mile = 5280 feet
7 miles = 5280 x 7 = 36960
1 hr = 60 mins
thus 36960 / 60 = 616
6th grade math help me please ! :))
Answer:
210 pounds because after 7 days (week) thats how much bambo the panda will eat
Step-by-step explanation:
90 pounds = 3 days
6 days = 180 pounds
1 day = 30 pounds
180 +30= 210 pounds
A cylinder has a base diameter of 8 feet and a height of 5 feet. What is its volume in
cubic feet, to the nearest tenths place?
A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five percent of all type A goggles are returned within 10 days after the sale, whereas only two percent of type B are returned. If a pair of goggles is returned within the first 10 days after the sale, the probability that the goggles returned are of type B is
Answer:
[tex]\dfrac{14}{29}[/tex]
Step-by-step explanation:
Let P(A) be the probability that goggle of type A is manufactured
P(B) be the probability that goggle of type B is manufactured
P(E) be the probability that a goggle is returned within 10 days of its purchase.
According to the question,
P(A) = 30%
P(B) = 70%
P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.
P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.
[tex]P(A \cap E)[/tex] will be the probability that a goggle is of type A and is returned within 10 days of its purchase.
[tex]P(B \cap E)[/tex] will be the probability that a goggle is of type B and is returned within 10 days of its purchase.
[tex]P(E \cap A) = P(A) \times P(E/A)[/tex]
[tex]P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%[/tex]
[tex]P(E \cap B) = P(B) \times P(E/B)[/tex]
[tex]P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%[/tex]
[tex]P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%[/tex]
If a goggle is returned within 10 days of its purchase, probability that it was of type B:
[tex]P(B/E) = \dfrac{P(E \cap B)}{P(E)}[/tex]
[tex]\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}[/tex]
So, the required probability is [tex]\dfrac{14}{29}.[/tex]
Use the Distributive Property to solve the equations. -4(x+3)=8. What does x equal?
Answer:
-5
Step-by-step explanation:
-4x-12=8
+12. +12
-4x=20
Divide -4 on both sides
20/-4
x= -5
Find the distance between (-10,12) and (-6,-14). Round to the nearest hundredth
Answer:
26.31 units
Step-by-step explanation:
Given: Points [tex](-10,12),(-6,-14)[/tex]
To find: Distance between the given points
Solution:
Let [tex](x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)[/tex]
The distance formula is used to find the distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex]
According to distance formula,
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{(-6+10)^2+(-14-12)^2}\\ =\sqrt{16+676}\\ =\sqrt{692}\\ =26.31[/tex]
So, distance between the given points is 26.31 units
What is the volume of a hemisphere with a diameter of 51.8 inches round to the nearest 10th of a cubic inch
Answer:
36,388.0 in³
Step-by-step explanation:
The volume of a sphere is usually expressed in terms of the radius as ...
V = (4/3)πr³
Here, we want the volume of 1/2 of a sphere, given the diameter. So, our volume will be ...
V = (1/2)(4/3)π(d/2)³ = (π/12)d³
For the given diameter, the hemisphere volume is ...
V = (π/12)(51.8 in)³ ≈ 36,388.0 in³
A line with a slope of -7 passes through the points (10,v) (9,4) What is the value of V?
Answer:
-3
Step-by-step explanation:
An increase in x-value from 9 to 10 is an increase of 1 unit. The slope of -7 tells you that the corresponding change in y will by -7 units:
v = 4 -7 = -3
The value of v is -3.
_____
Alternate solutions
You can see this easily on a graph, or you can use the equation of the line. We have a point and a slope, so the point-slope form is useful.
y = m(x -h) +k
y = -7(x -9) +4
For x=10, the value of y is ...
v = -7(10 -9) +4 = -7 +4
v = -3
Help ASAP giving BRAINLIEST! Am i correct?
Answer:
You are correct
Step-by-step explanation:
x - 8 < 23
Add 8 to both sides
x - 8 + 8 < 23 + 8
Simplify
x < 31
Yes, you are correct.
Using the information below, Solve for x. Show Your Work with your answer.
X + 2y = 5
2x + y = 12
-2(x + 2y = 5)
-2x - 4y = - 10
-2x - 4y = -10
2x + 6y = 12
_____________
2y = 2
————————
2 2
y=1
[insert answer here]
Step-by-step explanation:
Sara goes on a slingshot ride in an amusement park. She is strapped into a spherical ball that has a radius of centimeters. What is the volume of air in the spherical ball? Use this formula: , where r is the sphere’s radius.
A.
B.
C.
D.
Answer:
A. 4×π×3²×[tex]10^{6}[/tex]
Step-by-step explanation:
r = 3×10² = 3×100 = 300
[tex]\frac{4}{3}[/tex]×π×300³=
[tex]\frac{4}{3}[/tex]×π×27,000,000=
[tex]\frac{108,000,000}{3}[/tex]×π=
36,000,000π
Answers solved:
A. 36,000,000π
B. 108,000,000π
C. 3,600,000π
D. 32,400,000π
The solution is Option A.
The volume of the air in the spherical ball is given by the equation
V = 4π ( 3 )² ( 10 )⁶ cm³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the volume of the sphere be represented as V
Now , the radius of the spherical ball be r
The value of r = 3 ( 10 )² cm
So , the volume of the spherical ball = ( 4/3 ) πr³
Substituting the values in the equation , we get
Volume of the spherical ball V = ( 4/3 ) x π x [ 3 ( 10 )² ]³
On simplifying the equation , we get
Volume of the spherical ball V = ( 4/3 ) x π x ( 3 )³ ( 10 )⁶
Volume of the spherical ball V = 4 x π x ( 3 )² ( 10 )⁶
Therefore , the value of V is 4π ( 3 )² ( 10 )⁶
Hence , the volume of the spherical ball is 4π ( 3 )² ( 10 )⁶
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A 13-pound mixture of coffee that contains both decaffeinated and regular coffee costs $34. The decaffeinated coffee costs $2 per pound, and the regular coffee costs $3 per pound. (a) Let x be the weight of the decaffeinated coffee and y be the weight of the regular coffee. Write a system of equations whose solution gives the amount of each type of coffee in the mixture. (b) Use the method of substitution to solve the system of equations.
Answer:
Weight of decaf coffee = 5 pounds.
Weight of regular coffee = 8 pounds.
Step-by-step explanation:
(a) Let x be the weight of decaf coffee and y the weight of regular coffee. Then:
x + y = 13
2x + 3y = 34
(b) From the first equation x = 13 - y, so substituting for x in second equation:
2(13 - y) + 3y = 34
26 - 2y + 3y = 34
y = 34 - 26 = 8.
Substituting for y in the first equation:
x + 8 = 13
x = 5.
Determine if the point (2, 6) is on the graph of
Answer:
it is not on the graph
Step-by-step explanation:
Put the given values into the equation and see if it is true:
-2(2) +1/3(6) = -1
-4 +2 = -1 . . . . . . . .FALSE
The point is not on the graph of the equation.
A certain game consists of rolling a single fair die. If a four or five comes up, you win 10 dollars; otherwise, you lose 5 dollars. Find the expected winnings for this game. Is this a fair game?
Answer:
no this game is not fair due to the fact that u have a 2/6 chance to win
which of the following is an expression for”doubling a number n and dividing by 3”?
Answer:
2n/3
Step-by-step explanation:
hope this helps!! moo
EASY
A broken thermometer reads 33° F, but Kira knows that the temperature is at least 33° F, if not even colder. Which of the following inequalities, shows the possible temperatures?
t ≤ 33° F
t ≥ 33° F
t > 33° F
t < 33° F
Answer: t ≥ 33
Step-by-step explanation:
So the temperature has to equal to 33 or less than 33.It can't be greater than 33.
There are five families that each have one child. Each of them hires Riley as a babysitter. Because the children she babysits are different ages, Riley charges each family a different amount. To visualize her earnings, Riley recorded and plotted her pay from each job. Using the scatterplot, calculate her average rate of pay.
Answer:
Average Rate of Pay = $ 5.23 /hr
Step-by-step explanation:
We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:
x (Hours) = 12 13 16 17 20
y ($) = 54 56 65 64 100
The statistical data calculated is:
∑x = 78, ∑x² = 1258, ∑y = 339, ∑xy = 5504, n = no. of data points = 5
Now, we use linear regression model to fit a straight line to this data.
y = a + bx --------- eqn (1)
where,
b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]
b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]
b = 5.23
and,
a = (∑xy - b∑x²)/∑x
a = [5504 - (5.23)(1258)]/78
a = -13.83
Therefore, eqn (1) becomes:
y = -13.83 + 5.23x
The graph plot of this straight line fit is provided in the attachments.
Now, we derivate the equation with respect to x, to get the average rate of pay:
Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)
Average Rate of Pay = $ 5.23 /hr
Alex and Micah scored a total of 40 points in the basketball game. Micah scored four more points than twice Alex's score. How many points did Micah score?
a. 10 points
B. 28 points
C. 12 points
D. 22 points
Answer: D
Step-by-step explanation:
2x + (2x +4 ) =40
x= 9
2(9) +4 =22
Find the volume of the prism shown below if the height is 3 inches
How am I supposed to be able to answer a question without the info
Answer:
Find the volume of the prism shown below if the height is 3 inches.
Step-by-step explanation:
help plz now quick if right brain list
Answer:
c= 5 yards.
Step-by-step explanation:
4*1.5=6
30/6= 5
At the Midlothian Independent Bank, a study shows that the mean ATM transaction takes 74 seconds, the median 63 seconds, and the mode 51 seconds. (a) Check the appropriate choice of distribution based on the statistics given. The distribution should be skewed to the left because the mean is greater than the median. The distribution should be skewed to the right because the standard deviation is greater than the mean. The distribution should be skewed to the right because the mean is greater than the median. The distribution should be skewed to the left because the variance is greater than the mean. (b) Select the factor that might cause the distribution to be like this. Most ATM transactions will tend to be high in duration, but a few will be of longer duration. Most ATM transactions will tend to be low in duration, but a few will be of lower duration.
Answer:
a) The distribution should be skewed to the right because the mean is greater than the median.
b) Most ATM transactions will tend to be low in duration, but a few will be of lower duration.
Step-by-step explanation:
Given:
Mean = 74
Median = 63
Mode = 51
a) We can see that the mean is greater than the median, and the median is greater than the mode. It can be written in this sequence : Mean > Median > Mode.
Therefore, the distribution should be skewed to the right because the mean is greater than the median.
b) Since the mode is less than mean, the duration of view will be longer but there wil be a low value of observation.
Therefore, the factor thay might cause the distribution to be like this is that most ATM transactions will tend to be low in duration, but a few will be of lower duration.
Write (x - 5)(x + 5)(2x - 1) in standard form.
-x2 + 2x2 - 50x + 25
2r? - x? - 50x + 25
2x - x2 - 50x
-50x - x? + 2x
Answer:
2x3 - x2 - 50x + 25
Step-by-step explanation:
So the first thing you would do is multiply (x - 5)(x + 5)
x2 + 5x - 5x - 25
then you would simplify
x2 - 25
then you would multiply it by 2x - 1
(x2 - 25)(2x - 1)
2x3 - x2 - 50x + 25
so your answer is
2x3 - x2 - 50x + 25
What is the value of x in the equation 0.7x -1.4 = -3.5?
-7
x
-3
Answer:
–3
Step-by-step explanation:
i got 90% on my quiz also may i pleas get brainliest
Use a geometric model to factor 3x2 + 4x + 1 by following
these steps
Factor 1
2
Product
Step 1: Model the trinomial by placing tiles to form a
rectangle in the top left corner of the Product
section
+X
Factor 2
Check
B
Answer:
The factors of the expression [tex]f(x)= 3x^{2} + 4x + 1[/tex] are (3x + 1)(x + 1).
Step-by-step explanation:
The expression is:
[tex]f(x)= 3x^{2} + 4x + 1[/tex]
Factorize the expression as follows:
[tex]f(x)= 3x^{2} + 4x + 1[/tex]
[tex]=3x^{2}+3x+x+ 1\\\\=3x(x+1)+1(x+1)\\\\=(3x+1)(x+1)[/tex]
Thus, the factors of the expression [tex]f(x)= 3x^{2} + 4x + 1[/tex] are (3x + 1)(x + 1).
Answer: It shows correct if this is the model your looking for
Step-by-step explanation:
Triangle ABC is rotated 180º using the origin as the center of rotation.
On a coordinate plane, triangle A B C has points (negative 4, negative 3), (negative 5, negative 2), (negative 3, negative 2). Triangle A prime B prime C prime has points (4, 3), (5, 2), (3, 2).
Which sequence of transformations will produce the same result?
a
a reflection over the x-axis and then a reflection over the y-axis
b
a translation up 4 and then a translation right 6
c
a translation up 4 and then a reflection over the y-axis
d
a translation right 6 and then a reflection over the x-axis
Answer:
a. a reflection over the x-axis and then a reflection over the y-axis
Step-by-step explanation:
If you plot it on a graph (you can use Desmos), you can see the triangles and only a. a reflection over the x-axis and then a reflection over the y-axis makes sense.
Answer:
thats c
Step-by-step explanation:
Karla has 3 gallons of paint. Bryant has 10 quarts of paint. How many more pints of paint does Karla have than Bryant?
Answer: 4
Step-by-step explanation:
First you need to convert to pints.
Your conversion factors are:
1 gallon = 8 pints
1 quart = 2 pints
[tex]3gallons(\frac{8pints}{1gallon}) =24pints[/tex]
[tex]10quarts(\frac{2 pints}{1quart})=20pints[/tex]
To find the difference, subtract.
24-20=4
