Answer:
3.816
Step-by-step explanation:
4.156-0.34
=4.156-0.34
=4.156 + (-0.34)
= 3.816
hope this helps!!
The given expressions 4.156 - 0.34 simplified form is 3.816.
We have given,
4.156 - 0.34
We have to determine the subtraction
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol -
4.156-0.34
=4.156-0.34
=4.156 + (-0.34)
= 3.816
The given expressions 4.156 - 0.34 simplified form is 3.816.
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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
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:
· Find (f • g)(x).
f(x) = 3x
g(x) = 5x
Write your answer as a polynomial in simplest form.
(fog)(x) =
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex] and this can be determined by using the arithmetic operations.
Given :
[tex]f(x) = 3x\\g(x) = 5x[/tex]
The following steps can be used in order to determine the expression of (fog)(x):
Step 1 - Write the given function.
[tex]f(x) = 3x\\g(x) = 5x[/tex]
Step 2 - Now, replace 'x' by g(x) in order to determine the expression of (fog)(x).
[tex](fog)(x)=3\;g(x)[/tex]
[tex](fog)(x)=3\times 5x[/tex]
Step 3 - Simplify the above expression.
[tex](fog)(x)=15x[/tex]
The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex].
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What is the measure of angle A?
Answer:
A = 19.47
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin A = 2/6
Take the inverse sin of each side
sin ^-1 ( sin A) = sin ^-1 (2/6)
A =19.47122063
To the nearest hundredth
A = 19.47
Stir-fry is Gabe's favorite food to cook, but it always makes a lot of smoke! Gabe needs to know the volume of his kitchen so he can buy a fan that is the right size. Gabe's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Gabe's kitchen?
Answer:
The volume of Gabe's kitchen is 680 ft^3
Step-by-step explanation:
The volume of the kitchen can be derived by multiplying the floor area of the kitchen by the height.
Volume = floor area × height
Given;
Floor area = 85 ft^2
Height = 8 ft
Substituting the given values into the equation;
Volume = 85 × 8 = 680 ft^3
The volume of Gabe's kitchen is 680 ft^3
Which is the slope of the line that passes through the points (3, 17) and
(7.25)?
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
A rhombus has side lengths of 25. What could be the lengths of the diagonals?
A. 22 and 40
B. 26 and 36
C. 26 and 48
D. 30 and 40
Answer:
The correct option is;
D. 30 and 40
Step-by-step explanation:
Here, we have that the rhombus is a quadrilateral with equal and parallel sides hence the length of the diagonals will be
2 × 25×sinθ and 2 × 25× cosθ
Therefore tanθ = (2 × 25×sinθ)/(2 × 25× cosθ) = (sinθ)/(cosθ)
Therefore, the root of the sum squares of both diagonals = 50
Therefore, we analyze each of the options as follows
For A. we have √(22² + 40²) = 45.65 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For B. we have √(26² + 36²) = 44.41 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For C. we have √(26² + 48²) = 55.59 ≠ 50 therefore these are not the length of diagonals of the rhombus in question
For D. we have √(30² + 40²) = 50 therefore these are possible lengths of diagonals of the rhombus in question.
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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Question 1
Write x2 + 4x – 3x3 + 6 in standard form.
a) – 3x3 + 4x + x2
b) x2 – 3x3 + 4x + 6
c) –3x3 + x2 + 4x + 6
d) 6 + 4x – 3x3 + x2
Answer:
-3x^3 + x^2 + 4x +6
Answer is C
Step-by-step explanation:
Answer: -3x^3 + x^2 + 4x +6
Answer is C
Step-by-step explanation:
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
Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:
$67.50
$6.75
$675.00
$6,750.00
Answer:
$675.00
Step-by-step explanation:
4500 x 0.05 x 3 = 675
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
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! :)
Phil wishes to compare the weights of professional athletes to the weights of non-professional athletes. Phil completes a simple random sample of professional athletes and records his results in pounds: 125 147 240 186 156 205 248 152 199 207 176 Phil also completes a simple random sample of non-professional athletes and records his results in pounds: 151 161 139 128 149 160 201 173 The samples are independent and come from normally distributed populations. Use the p-value method and a 2% significance level to test the claim that the mean weights of professional and non-professional athletes are the same. What population parameter is being tested
Answer: 4
Step-by-step explanation:
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
Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.
Answer:
Tn = 34-3nStep-by-step explanation:
The formula for calculating the nth term of an arithmetic sequence is given as;
Tn = [tex]a+(n-1)d[/tex]
a is the first term
n is the number of terms
d is the common difference
If two terms of an arithmetic sequence are a12=70 and a30=124 then;
T12 = a+(12-1)d = 70
T12 = a+11d = 70...(1)
T30 = a+(30-1)d = 124
T30 = a+29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d;
Taking the difference of both equation we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d=3 into equation 1 to get the value of 'a' we have;
a+11(3) = 70
a+33=70
a = 70-33
a = 37
To get the explicit rule for the nth term of the sequence, we will use the formula Tn = a+ (n-1)d where a = 37, d =3
Tn = 37+(n-1)3
Tn = 37+3n-3
Tn = 34-3n
This gives the required nth term
What number is 4 time another. The sum of the reciprocals is 15/4. find the numbers
Answer:
3/4 , 3
Step-by-step explanation:
Let one number = x
Other = 4x
Sum:
x + 4x = 15/4
5x = 15/4
x = 3/4
Thus the numbers are 3/4 , 3
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
(x + 5) (x - 7)
Step-by-step explanation:
To factor this trinomial, you must split the middle term (-2x) into two terms that can be added to get -2x, and multiplied to get -35:
[tex]x^2[/tex] - 2x - 35
[tex]x^2[/tex] - 7x + 5x - 35
Group:
([tex]x^2[/tex] - 7x) (5x - 35)
Take out GCF (Greatest Common Factor):
x(x - 7) 5(x - 7)
(x + 5) (x - 7)
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:
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
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
In the attached file
A number pattern starts with 10 and follows the rule "multiply by 3." What is true
about all of the numbers in this pattern?
A movie membership costs $10 a month plus an additional $5 for each movie purchased. If you have only budgeted to spend a maximum of $25 this month, how many movies can you purchase?
Answer:
3
Step-by-step explanation:
25-10/3=3
Answer:
3 movies
Step-by-step explanation:
You can pay for 3 movies because
5*3=15 and you have to pay for the membership which is 10 so
10+15=25
Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is . The equation of line p is y = 1/2x + ?.
Answer:
y = (1/2) x -10
Step-by-step explanation:
Perpendicular lines are lines make right angles. The slopes of perpendicular lines are opposite reciprocals !
2x + y = -7 rewrite in form y=
y = -7 -2x
slope of this line is -2
perpendicular lines are opposite reciprocals so the line p has a slope = 1/2
line p passes through (8, -6) so plug in point into equation of p and get ?
y = 1/2 x +?
-6 =1/2(8) +?
-6 =4 + ? subtract 4 from both sides
-6-4 = ?
-10 = ?
y = (1/2) x -10
how many tenths are in 4600
Answer:
4600 tenths as a Fraction
Since 4600 tenths is 4600 over ten, 4600 tenths as a Fraction is 4600/10.
4600 tenths as a Decimal
If you divide 4600 by ten you get 4600 tenths as a decimal which is 460.00.
4600 tenths as a Percent
To get 4600 tenths as a Percent, you multiply the decimal with 100 to get the answer of 46000 percent.
4600 tenths of a dollar
First we divide a dollar into ten parts where each part is 10 cents. Then we multiply 10 cents with 4600 and get 46000 cents or 460 dollars and 0 cents.
Step-by-step explanation:
Hope this helped!
Stay safe!!!
Answer:
Step-by-step explanation:
To answer this, multiply 4600 by 10: 46000. There are 46000 tenths in 4600.
What is the number of possible permutations of 5 objects taken 2 at a time? A. 10 B. 20 C. 60 D. 120
Answer:
B. 20
Step-by-step explanation:
5P2 is equal to 20 using the permutation formula.
Area = 27 mi2
The area of the polygon is 27 mi? What is the length of side
miles
Answer:
3 mi
Step-by-step explanation:
There are three squares with side a
The area of a square is s^2 where s is the side length
A of the square is a^2
We have three of them so add the areas together
a^2+a^2+a^2 = 3a^2
This is equal to 27
3a^2 = 27
Divide each side by 3
3/3a^2 = 27/3
a^2 = 9
Take the square root of each side
sqrt(a^2) = sqrt(9)
a = 3
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?
