וח
The equation d = m can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?
Answer:
The equation solved for V is m/d=V
Five time a number plus nine is less than or equal to six times the number plus 5?
Answer:
1. Let x = #
2. "Five less than six times a number" can be written as: 6x - 5
3. "is at least" is the same as "greater than or equal to" and can be written as: >=
4. "nine subtracted from two times that number" can be written as: 2x - 9
5. the equation is: 6x - 5 >= 2x - 9
6. solve for x by grouping the x variable terms on one side and the constants on the other side:
6x - 5 >= 2x - 9
-2x +5 -2X +5
4x >= -4
7. divide each side by 4, and you get: x = -1
Step-by-step explanation:
A number line going from negative 10 to positive 10. Point A is at 4, Point b is at 2, Point c is at negative 2, point d is at negative 4.
Which point represents the number 2?
The number 2 is at point
.
Answer: Point B represents the number 2 on the number line.
How?: Well, any whole number (without the minus/negative sign), is equal to a positive number. 2 is a whole number. So, therefore, it's Point B.
8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. You collect the force data for 30 insulators selected for the experiment and organize and store these data in Force: 1,870 1,728 1,656 1,610 1,634 1,784 1,522 1,696 1,592 1,662 1,866 1,764 1,734 1,662 1,734 1,774 1,550 1,756 1,762 1,866 1,820 1,744 1,788 1,688 1,810 1,752 1,680 1,810 1,652 1,736 Construct a 95% confidence interval estimate for the population mean force. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)
Answer:
The 95% confidence interval estimate for the population mean force is (1691, 1755).
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.
The sample selected here is n = 30.
Thus, the sampling distribution of the sample mean will be normal.
Compute the sample mean and standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55[/tex]
Construct a 95% confidence interval estimate for the population mean force as follows:
[tex]CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}[/tex]
[tex]=1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)[/tex]
Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).
porcentaje de 70 y 35
Answer:
50%
Step-by-step explanation:
35/70 = 50%
Answer:
debe ser 30 porque la distancia entre 70 y 35 es 40.
Step-by-step explanation:
70 - 35 = 35
For how many different pairs of positive integers (a,b) with greatest common factor 1, and with a>b, does ab=30!
Answer:
4 pairs
Step-by-step explanation:
Given
ab = 30
Where
a > b
Required
Determine number of pairs (a,b)
To do this, we simply test values for a and b that satisfy the required condition.
First,
Take a = 30
Substitute 30 for a in ab = 30
30 * b = 30
b = 30/30
b = 1
The pair is (30,1)
Take a = 15
Substitute 15 for a in ab = 30
15 * b = 30
b = 30/15
b = 2
The pair is (15,2)
Take a = 10
Substitute 10 for a in ab = 30
10 * b = 30
b = 30/10
b = 3
The pair is (10,3)
Take a = 6
Substitute 6 for a in ab = 30
6 * b = 30
b = 30/6
b = 5
The pair is (6,5)
There exist no other pair that satisfy the given condition.
Counting the above pairs, there are just 4 pairs.
Find the slope of each line.
Answer:
the slope of that line is 3/4
A new savings account is opened with $400 and gains 3% every year. What is the
exponential function?
How can you use proper subsets, in your daily life
Answer:
vehicles, food and stationary etc. If we take vehicles in to consideration then in vehicles we have many types i.e, many subset that can be formed from the main set vehicles. The vehicles are classified into few subsets such as car , truck, bus, train, scooter, bike etc..
Step-by-step explanation:
please follow me
Oranges were on sale for $0.45 per pound. Leo bought 12.6 pounds. Which expression shows how to determine the total cost of the oranges?
12.6 times 0.45
12.6 minus 0.45
12.6 + 0.45
12.6 divided by 0.45
Answer:
12.6 times 0.45
price: .45
quantity: 12.6
cost = price x quantity
Answer:
12.6 x 0.45
Since you know how much Is each pound and you want to buy 12.6 pounds. all you have to do is multiply them both.
2/3p-7=1/4p+12 help me please
Answer:
p=228/5
Step-by-step explanation:
2/3p-7=1/4p+12
12(2/3p-7)=12(1/4p+12)
8p-84=3p+144
5p-84=144
5p=228
p=228/5
Check:
2/3(228/5)-7=1/4(228/5)+12
30.4-7=11.4+12
23.4=23.4
HELPP! What is the difference between the lowest average temperature and the highest average
temperature during the year?
Answer:
11 C is the difference
Step-by-step explanation:
7O00 dollars in invested in a bank account at an interest rate of 10 perce per year compounded continunaly. Meanwhile, 28000 dollars invested in a bank account at an intarest rate of 4 percent compounded annually. Detormine graphically (using technology) to the nearest year, after how many years will the two accounts have the same balance.
Answer:
3 years i think
Step-by-step explanation:
Simplify using order of
operations.
52 + 3 x 8
P
E
MD
AS
The 2 is squared
Answer:
49
Step-by-step explanation:
Given expression:
5² + 3 x 8
The order of operation is:
P Parentheses
E Exponents
MD Multiplication and Division
AS Addition and subtraction
In this problem, first solve the exponent; 5² = 25
25 + 3 x 8
Now to the multiplication;
25 + 24 = 49
The solution is 49
Eric takes a train to his parent’s house 320 miles away. If the trip takes 4 hours, what is the unit rate of the train?
Answer:
80 miles per hour
Step-by-step explanation:
320 miles /4 hours = 80 miles per hour
Costco sells chicken for $2.25 per pound. What would be the cost of 2 4 5 lb of chicken?
Answer:
551.25$
Step-by-step explanation:
u need to multiply the amount of money per a pound to the amount of pounds u have
(1/4)^−2−(5^0⋅2)⋅1^−1
Answer:
14.62 I believe
Step-by-step explanation:
How do you know if the two triangles are congruent. State how
Answer:
Cases of congruence of triangles: The two triangles coincide if the length of each side in the first triangle is equal to its counterpart in the second triangle (three sides)...... The two triangles coincide if the lengths of two symmetrical sides are equal, and the two corresponding angles intertwined between these two sides are equal in each triangle. .. Two sides and a bounded angle between them.....
The equation 320=x+7.50(36) represents the cost of ordering potted plants at a second store.
What does the x represent in this situation?
Answer:
I would say it's the amount of potted plants.
Step-by-step explanation:
x is the independent variable and y is the dependent variable. Y counts on x, so total cost counts on the amount of potted plants.
Solve 2y – 3 = 4y + 6.
ys
Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus
a fixed $16 shipping and handling fee. The marketing director of company A wants to set up a system of equations to find
the number of hats for which the total cost of an order for the two companies is the same. He uses the variables x and y.
He lets y represent the total cost of an order. What will x represent?
O x = total cost of an order
O x = shipping costs for company B
O x = shipping costs for company A
O x= number of hats
Answer:
Its D
Step-by-step explanation:
x represents the number of hats.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given, Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus a fixed $16 shipping and handling fee.
Let x be the number of hats and y be the total cost for x hats
For Company A:
per hat charges = 11
charge for x hats = 11 * x
Since, shipping charges = 7
Thus,
Total cost for x hats, y = 11x + 7
For Company B:
per hat charges = 8
charge for x hats = 8 * x
Since shipping charges = 16
Thus,
Total cost for x hats, y = 8x + 16
If the Cost is the same,
11x + 7 = 8x + 16
3x = 9
x = 3
therefore, If we order 3 hats then the cost from both companies will be the same. and x represents the number of hats.
Learn more about the System of equations here:
https://brainly.com/question/12628931
#SPJ6
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x - 15y = 135
6x -15y = 135
-15y = 135 -6x
y = (135-6x)/-15
y = 2/5x + 9
Find the value of the expression: -35 / 7
Answer:
-5
Step-by-step explanation:
plz helpp
Statement 2)
A)Addition property
B) Definition of midpoint
C) Definition of equality
D) Segment addition postulate
Reason 6)
A) Subtraction property
B) Transitive property
C) Property of equality
D) Definition of congruence
Answer:
Addition Property of Equality If AB = CD then AB + BC = BC +CD
Subtraction Property of Equality If AB + BC = BC + CD then AB = CD
Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180
Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90
Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180
Distributive Property AB + AB = 2AB
Reflexive Property m∢B = m∢B
Symmetric Property If AB + BC = AC then AC = AB + BC
Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD
Segment Addition Postulate If C is between B and D, then BC + CD = BD
Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC
Linear Pair Postulate If two angles form a linear pair, then they are supplementary
Definition of Right Angle If ∢B is a right angle then m∢B = 90
Definition of Midpoint If P is the midpoint of segment AB then AP =PB
Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB
Definition of Perpendicular Lines If two lines are ⊥ they form right angles
Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD
Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B
Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD
Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90
Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180
Step-by-step explanation:
If g(x)=4x^2 -8x+3, find g(5)
x - 2/5= 7
find out what x is
Answer:
see below
Step-by-step explanation:
x - 2/5= 7
Add 2/5 to each side
x - 2/5 + 2/5 = 7+2/5
x = 7 2/5
or if
( x-2) /5 = 7
Multiply each side by 5
(x-2) /5 *5 = 7*5
x-2 = 35
Add 2 to each side
x-2+2 = 35+2
x = 37
Answer:
x = 37or
x = 7 ²/₅Step-by-step explanation:
x - 2/5= 7
find out what x is
x - 2/5 = 7
x - 2 = 7 (5)
x - 2 = 35
x = 35 + 2
x = 37
--------
or
x - 2/5 = 7
x = 7 + 2/5
x = 7 ²/₅If the sum of two consecutive even integers ‘a’ and ‘b’ is k, what is the sum of the next two consecutive integers greater than ‘b’ in terms of k?
Answer:
We have two consecutive even integers:
a and b.
We know that we can write a even integer as:
a = 2*n
where n is an integer.
Then the consecutive integer to a, b, will be:
b = 2*n + 2.
Then the sum of a and b is:
a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.
The next two consecutive integers greater than b will be:
c = 2n + 4
d = 2n + 6
then:
c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.
Find the sum.
(n+8)+(n−12)
=
n=2
Reorder terms:
(8+n)+(n-12)=0
Remover first parentheses :
8+n+(n-12)=0
Reorder (again):
8-12+n+n=0
Simplify:
-4+2n=0
Add 4 to both sides:
2n=4
Divide and you’re done!
n=2
6th grade question please help show work
Answer:
A. -6
Step-by-step explanation:
Simplify the given expression.
(6x^4 - 3x^2) + (x^2 - 5)(qx^2 + 5) =
= 6x^4 - 3x^2 + qx^4 + 5x^2 - 5qx^2 - 25
= 6x^4 + qx^4 + 2x^2 - 5qx^2 - 25
= (6 + q)x^4 + (2 - 5q)x^2 - 25
Set ti equal to the given solution.
(6 + q)x^4 + (2 - 5q)x^2 - 25 = 32x^2 - 25
The solution has no 4th degree term, so
6 + q = 0
q = -6
As a check, the solution's x^2 term is 32x^2, so
(2 - 5q)x^2 = 32x^2
2 - 5q = 32
-5q = 30
q = -6
Once again, we get q = -6.
Answer: A. -6
What would the value of X be?
Answer:
47
Step-by-step explanation: