-35
First, add the contents of the parentheses. 3 + 4 = 7. This gives you -5 * 7.
Now, just multiply. -5 * 7 = -35, so -35 is the answer.
Three boys share 1.92 equally how much money does each boy get
Divide the total amount of money by the number of boys:
1.92/3 = 0.64 cents
Each boy gets 0.64 cents.
What is a quadrilateral that has no lines of symmetry
Answer:
A parallelogram is a quadrilateral with no axis of line symmetry.
Answer:
parallelogram
Step-by-step explanation:
a parallelogram does not have an axis of a line of symmetry
PLZZZ HELP ME SOLVE!!!!!!!
Answer:
D. 6^30
explanation:
(6^36)/(6^6)= 6^30
forty brackets are made from a strip of metal costing $0.80. What is the direct material cost per item?
Which of the following are independent variables?
gasoline
insurance
tires
car payment
registration fee
oil
A variable in mathematical terms is said to be Independent, if it's value does not depend on other variable.
For, example
y=x²
Here , you can take any one among, x and y as independent and other as Dependent to get value of other.
For, example
x=2, gives y=4.
So,variable y is dependent on variable x.So, y is Dependent and x is Independent.
Now, Among the given options
The Naturally Occuring product found on earth are Independent ,and Man made product which is a combination of Natural and Human beings are Dependent.
⇒Option A
Gasoline
⇒Option F
Oil
Gasoline, tires, and oil are the independent variables from the given options.
The independent variables are the ones that can be directly controlled or manipulated in an experiment or analysis.
The independent variables would typically be:
Gasoline: The amount of gasoline can be controlled by choosing how much to put in the vehicle.
Tires: The type and condition of tires can be chosen and changed.
Oil: The choice and frequency of oil changes can be controlled.
Hence, the independent variables are gasoline, tires and oil.
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Jeannie discovered that the ratio of kilometers to miles is 1 to 0.6. When her family was driving in Canada, she saw a sign that said it was 80 kilometers to Moncton. How many miles do they have to drive to get to Moncton?
Answer:
48 miles
Step-by-step explanation:
1 Kilometer = 0.6 miles
80 kilometers = X miles
1 kilometer/0.6 miles = 80 kilometers/X miles
then cross multiply the ratio
X (1) = 80 (0.6)
X=48 miles
Answer:
48
Step-by-step explanation:
Using the tax table, determine the amount of taxes for the following situations: (Do not round intermediate calculations. Round your answers to 2 decimal places.)
a. A head of household with taxable income of $58,500.
b. A single person with taxable income of $36,400.
c. Married taxpayers filing jointly with taxable income of $72,700.
To calculate taxes for each scenario, use the progressive tax rate schedules to find the correct tax bracket, apply the marginal tax rate, add any base tax amount, and complete the calculation for the head of household, single person, and married taxpayers filing jointly.
Explanation:To calculate the amount of taxes for the given situations, we use the tax rate schedules provided. For each scenario, the tax is calculated based on the income brackets and the corresponding tax rates in the tax table, which align with a progressive tax system. Detailed calculations are needed with step-by-step explanations for accuracy.
Head of Household with taxable income of $58,500: First, determine the tax bracket according to the tax table and then apply the relevant tax rate and base amount.Single person with taxable income of $36,400: Identify the appropriate bracket from the tax table, then calculate the taxes owed by applying the marginal tax rate.Married taxpayers filing jointly with taxable income of $72,700: Locate their bracket in the shared tax table and calculate the corresponding taxes using the stipulated rate and base amount.The mentioned tax brackets and rates are based on example tax tables; the actual calculations would depend on the specific tax brackets and rates set forth by the IRS for the given tax year.
A pendulum has 991 J of potential energy at the highest point of its swing. how much kinetic energy will it have at the bottom of its swing?
Your Answer:
Answer:
units:
Answer:
991 J
Step-by-step explanation:
At the bottom of the swing all of the potential energy has been converted to kinetic energy (assuming a lossless system).
Answer:
991 J
Step-by-step explanation:
At the highest point, an object has maximum potential energy and no kinetic energy. And at its lowest point, an object has maximum kinetic energy and no potential energy. All of the potential energy it had was converted into kinetic.
Use the zero product property to find the solutions to the eqation 6x^2 -5x=56
Answer:
B. 7/2, -8/3
Step-by-step explanation:
Move all the terms to the left side and set them equal to zero. Then set each factor equal to zero.
Please help I need help I will mark brainliest
a:
Just divide both sides by 7. Since 7 is positive, you don't need to change the inequality sign:
[tex]7j>77\iff j>11\}[/tex]
In set notation, we write
[tex]\{j \in \mathbb{R}\ :\ j>11[/tex]
b:
Subtract 9 from both sides:
[tex]17\leq x+9 \iff 8\leq x[/tex]
In set notation, we write
[tex]\{x \in \mathbb{R}\ :\ x\geq 8\}[/tex]
How many triangles satisfy the conditions a=14, b=2, and A=66?
Answer:
1
Step-by-step explanation:
0 Triangles satisfy the given condition.
What is the triangle inequality?
Triangle inequality theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c.
In this question:
a,b and A are three sides of triangle.
a=14
b=2 and
A=66
In this triangle
A+b=64>14A+a=80>2but, a+b=16<64 which violates the triangle inequality.Therefore, no such triangle with given dimension can exist.
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Which description can be written as the expression n/4 - 13?
Answer:
Step-by-step explanation:
Weren't there possible answer choices? Whenever there are, would you please share them. Thank you.
n/4 - 13 could be written "13 less than one quarter of the number n."
You stand at point C and look at an aquarium tank. Calculate the radius of the aquarium tank.
Answer:
The radius of the aquarium tank is [tex]8.25\ ft[/tex]
Step-by-step explanation:
we know that
Applying the Tangent Secant Theorem
[tex]DC^{2}=AC*8[/tex]
we have that
[tex]AC=(D+8)\ ft[/tex]
[tex]DC=14\ ft[/tex]
substitute
[tex]14^{2}=(D+8)*8[/tex]
[tex]196=8D+64[/tex]
Solve for D
[tex]8D=196-64[/tex]
[tex]8D=132[/tex]
[tex]D=16.5\ ft[/tex]
Find the radius
The radius is half the diameter
[tex]r=16.5/2=8.25\ ft[/tex]
Answer:
8.25
Step-by-step explanation:
DC = 14ft
AC = 8ft + the diametre
Lets use d for diametre
The equation we are using is the Segments of Secants and Tangents Theorem, which is [tex]DC^{2}[/tex] = 8ft (or the outside segment) * AC (the whole segment)
[tex]14^{2}[/tex] = 8 * (8 + d)
196 = 64 + 8d
Subtract 64 from 196 to get: 132 = 8d
Divide 8 from 132 to get: d = 16.5
Now the diametre is 16.5, but the radius is half the diametre, so now you have to do: 16.5 / 2
So the radius would end up being 8.25
describe the graph of the functions y=|x+2|
To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.
In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.
x = -3
y = |-3 + 2| = |-1| = 1
x = -2
y = |-2 + 2| = |0| = 0
x = -1
y = |-1 + 2| = |1| = 1
x = 0
y = |0 + 2| = |2| = 2
x = 1
y = |1 + 2| = |3| = 3
x = 2
y = |2 + 2| = |4| = 4
x = 3
y = |3 + 2| = |5| = 5
x ║ y
-3 1
-2 0
-1 1
0 2
1 3
2 4
3 5
Obtaining the graph shown in the image attached.
.
The quantities x and y are proportional.
x y
9 4.54
14 7
30 15
Find the constant of proportionality (r) in the equation y=rx
Answer:
its 1/2
Step-by-step explanation:
Final answer:
The constant of proportionality (r) in the equation y=rx can be found by dividing y by x for any given pair of values. Using the pair (14, 7), the constant of proportionality is calculated as r = 7 / 14 = 0.5.
Explanation:
The quantities x and y are said to be proportional if they relate via a constant of proportionality, which we refer to as r in the equation y=rx. To find the constant of proportionality, you can choose any given pair of values for x and y and divide them. For example, using the given pair (14, 7), we can find r by dividing 7 by 14.
r = y / x = 7 / 14 = 0.5
Therefore, the constant of proportionality r is 0.5. You can check this value with other given pairs to confirm it is consistent. For further confirmation, using the pair (30, 15), we have:
r = 15 / 30 = 0.5
which matches our previously calculated constant of proportionality.
Which system is equivalent to
Answer:
the forth one
Step-by-step explanation:
The answer above is right
Factorise:-
2x^2 -7x-15
Answer:
(x - 5)(2x + 3)
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 15 = - 30 and sum = - 7
The factors are - 10 and + 3
Use these factors to split the x- term
2x² - 10x + 3x - 15 ( factor the first/second and third/fourth terms )
= 2x(x - 5) + 3(x - 5) ← factor out (x - 5) from each term
= (x - 5)(2x + 3)
The factorization of the quadratic expression is presented as follows;
2·x² - 7·x - 15 is (2·x + 3)·(x - 5)
What is a quadratic expression?A quadratic expression is an expression that can be presented in the form a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.
In order to factorize the quadratic expression 2·x² - 7·x - 15, it is required to find two binomials with a product equivalent to the expression is to be found
The binomial can be found from the numbers p and q such that p + q = -7 and p·q = -30 (The product of the leading coefficient and the constant term)
A possible pair of such numbers is p = -10 and q = 3. Therefore, we get;
2·x² - 7·x -15 = 2·x² + (3·x - 10·x) - 15
The first two terms and the last two terms can be grouped and each group factorized separately as follows;
2·x² + (3·x - 10·x) - 15 = (2·x² + 3·x) + (-10·x - 15)
x·(2 + 3) - 5·(2·x + 3)
The above expression can be further factorized by taking out the common factor (2·x + 3) as follows;
x·(2 + 3) - 5·(2·x + 3) = (2·x + 3)·(x - 5)
Therefore, the factored expression is; 2·x² - 7·x - 15 = (2·x + 3)·(x - 5)
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Multiply.
(d-8)(d+8)
Simplify your answer.
Answer:
d^2 - 64
Step-by-step explanation:
This is the difference of squares. The middle 2 terms cancel out.
d^2 - 8d + 8d - 8*8
d^2 - 64
FOIL
FIRST
OUTSIDE
INSIDE
LAST
First:
(d-8)(d+8)
d * d
[tex]d^{2}[/tex]
Outside:
(d-8)(d+8)
d * 8
8d
Inside:
(d-8)(d+8)
-8 * d
-8d
Last:
(d-8)(d+8)
-8 * 8
-64
so...
d^2 + 8d + (-8d) + (-64)
d^2 - 64
Hope this helped!
Solve the system of equations 6x-5y=15 x=y+3
Step 1: In the equation 6x - 5y = 15 everytime you see the "x" plug in y+3. This will solve for y
6(y + 3) - 5y = 15
Step 2: Distribute the 6 to all the numbers in the parentheses
6y + 18 - 5y = 15
Step 3: Combine like terms (6y and -5y)
(6y - 5y) + 18 = 15
y + 18 = 15
Step 4: Isolate y by subtracting 18 to both sides
y + (18-18) = 15 -18
y = -3
Step 5: Plug y (-3) into the equation x= y + 3 to solve for x
x = -3 + 3
x = 0
For this system of equations y = -3 and x = 0
Hope this helped!
The solution to the system of equations 6x-5y=15 and x=y+3, using the substitution method, results in x = 0 and y = -3.
To solve the system of equations 6x-5y=15 and x=y+3, we can use the method of substitution since one equation is already solved for one of the variables. First, we replace x in the first equation with the expression from the second equation, (y + 3), resulting in a new equation 6(y + 3) - 5y = 15. Simplifying that gives 6y + 18 - 5y = 15, which simplifies to y = -3. Substituting y = -3 back into the second equation gives x = 0.
Place the following numbers in order from least to greatest.
3.9 , 113% ,
, 0.03 ,
A. 0.03 , , . , 3.9 , 113%
B.
, ,0.03 , 3.9 , 113%
C. 3.9 , 113%, , ,0.03
D. 0.03 , , 1, 113% , 3.9
Answer:
C.
Step-by-step explanation:
identify the features of the graph
-is a positive parabola
-has two roots at x= 1 and x= 5
- has a y-intercept at y=5
- has a minimum at (3, -4)
- axis of symmetry is x=3
What they said ^^^^^^^^^^^^^^^
Choose the correct graph of the given system of equations.
y + 2x = −1
3y − x = 4
Answer:
The correct graph is which x= -1 and y =1
Step-by-step explanation:
The question is on simultaneous equations
2x+y= -1.........................(a)
-x+3y = 4
Eliminate on side of the equation;
{2x+y= -1} 3
{-x+3y = 4} 1
open brackets
6x + 3y = -3
-x + 3y = 4......................eliminate y by subtraction
7x= -7.....................divide both sides by 7
x= -7/7 = -1......................use this in (a) above
2x+y = -1
2(-1) + y = -1
-2 +y = -1
y= -1+2 = 1
hence x= -1 and y = 1
Does Maria have enough money for all three items? Explain.
Answer:
Yes, the art supplies cost $29.73, and I believe she has what looks on the picture to be $57
Step-by-step explanation:
Verify the identity.
cos(x+pi/2) = -sinx
Answer:
see explanation
Step-by-step explanation:
Using the cosine addition identity
cos(x + y) = cosxcosy - sinxsiny
and cos([tex]\frac{\pi }{2}[/tex]) = 0, sin([tex]\frac{\pi }{2}[/tex]) = 1
cos(x + [tex]\frac{\pi }{2}[/tex])
= cosxcos([tex]\frac{\pi }{2}[/tex]) - sinxsin([tex]\frac{\pi }{2}[/tex])
= cosx × 0 - sinx × 1
= 0 - sinx
= - sinx
Show that (x-1)(x+2)(x+3) can be written in the form ax^3+bx^2+cx+d
Answer:
x³ + 4 x² + x - 6
Step-by-step explanation:
( x - 1 ) ( x + 2 ) ( x + 3 )
( x - 1 ) ( x + 2 ) = x² + 2 x - 1 x - 2 = x² + x - 2
( x² + x - 2 ) ( x + 3 ) = x³ + 3 x² + x² + 3 x - 2 x - 6 = x³ + 4 x² + x - 6
The expression (x-1)(x+2)(x+3) can be written as x³ + 4x² + x—6 after multiplication of the expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
= (x-1)(x+2)(x+3)
After multiplying first and second terms:
[tex]\rm =\left(x^2+x-2\right)\left(x+3\right)[/tex]
Again multiplying:
[tex]\rm =x^3+4x^2+x-6[/tex]
Thus, the expression (x-1)(x+2)(x+3) can be written as x³ + 4x² + x—6 after multiplication of the expression.
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What is the area of this composite shape ?
Answer: 53 inches
Step-by-step explanation:
so to figure this out..
1. split the shape. there will be a 6 by 8 rectangle and a Height of 2 inches and the length of 5 inch triangle.
2.then find the area of 6 * 8 equals 48
3.Then find the area of the triangle. 5 * 2 equals 10. then Divide 10 / 2 your answer will be 5
4.Then add 48 and 5 together your answer will be 53
I want to paint all three walls of the kitchen. One was a half cylinder. I want to paint the walls only not the ceiling. The walls are 9-foot high how many square feet will I be painting round to the nearest tenth
Answer:
[tex]490.9\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The total area is equal to
[tex]A=10(h)+2\pi r(h)+10(h)[/tex]
we have
[tex]h=9\ ft[/tex]
[tex]r=5.5\ ft[/tex]
[tex]\pi=3.14[/tex]
substitute
[tex]A=10(9)+2(3.14)(5.5)(9)+10(9)[/tex]
[tex]A=490.9\ ft^{2}[/tex]
The average cricket jumps vertically with an initial upward of 10 ft/s. What is the hang time of such a jump, ignoring air resistance? Use the formula h=-16t^2+10t, where h is the height of the cricket in feet and t is the time in seconds after the jump. Round your answer to the nearest tenth.
Answer:
The hang time is 0.63 seconds
Step-by-step explanation:
We want to find out what the cricket's fall time is and we have the function that describes its height as a function of time.
The cricket is on the ground when its height is equal to zero. Therefore we must equal h to zero and solve the equation for t ..
[tex]h=-16t^2+10t\\\\-16t^2 +10t=0\\\\\\[/tex]
We take t as a common factor
[tex]-16t^2 +10t=0\\\\t(10-16t)=0[/tex]
Then the height is zero when t = 0 and when (10-16t) = 0
[tex]t=0[/tex]
[tex]10-16t= 0[/tex]
[tex]10 = 16t[/tex]
[tex]t=\frac{10}{16}\\\\t= 0.63\ sec[/tex]
At t = 0 seconds the cricket is still on the ground.
Then the cricket is in the air and after 0.63 seconds the cricket falls back to the ground
Complete the square:
[tex]-16t^2+10t=-16\left(t^2-\dfrac58t\right)=-16\left(t^2-\dfrac58t+\dfrac{25}{256}-\dfrac{25}{256}\right)=-16\left(t-\dfrac5{16}\right)^2+\dfrac{25}{16}[/tex]
That is, [tex]h(t)[/tex] has a maximum value of [tex]\dfrac{25}{16}\approx1.6[/tex] ft when [tex]t=\dfrac5{16}\approx0.3[/tex] s. It takes the cricket twice as much time to jump up to its maximum height and return to the ground, so that the hang time is about 0.6 s.
What is the value of x?
Answer:
x = 3Step-by-step explanation:
Look at the picture.
Therefore we have:
[tex]\dfrac{4}{3}=\dfrac{x}{2.25}[/tex] cross multiply
[tex]3x=(4)(2.25)[/tex]
[tex]3x=9[/tex] divide both sides by 3
[tex]x=3[/tex]
the red trail is 3 1/4 miles long. the blue trail is 7/8 times as. long as the red trail. a group finished hiking 3/5 of the red trail when it started to rain. what is the distance that they hiked before it started to rain?
Answer:
2 13/20
Dude the blue trail is trying to trick you. scratch it out.
Step-by-step explanation:
Make the denominators the same
3 1/4 -->3 5/20
3/5 --> 12/20
covert this to an improper fraction-->3 5/20 --> 65/20
Subtract 65/20 - 12/20= 53/20
simplify 53/20 --> 2 13/20
Final answer:
To find the distance hiked before it started to rain, the length of the red trail (3 1/4 miles) is multiplied by 3/5, giving a distance of 1.95 miles.
Explanation:
The student has asked about the distance hiked on the red trail before it started to rain. To find the distance, we need to calculate 3/5 of the red trail length, which is 3 1/4 miles long. First, we must convert the mixed number to an improper fraction. 3 1/4 miles can be expressed as (3 × 4 + 1)/4 = 13/4 miles. Then we multiply 13/4 by 3/5 to find the distance hiked: (13/4) × (3/5) = (13 × 3) / (4 × 5) = 39/20. Converting this back to miles gives us 1.95 miles.