Step-by-step explanation:
-3a + 10 < -11
-3a < -21
-a < -7
a > 7
remember, when multiplying with a negative number the inequality sign flips the direction.
HURRRYY!!!!!!!!!
Which steps must you take to convert 15,840 feet per minute into miles per minute? Check all that apply.
Write a conversion factor with miles in the numerator and feet in the denominator.
Write a conversion factor with feet in the numerator and miles in the denominator.
Multiply 15,840 by 5,280.
Divide 15,840 by 5,280.
Cancel units of feet.
Answer:
The factor which is used to convert feet per minute into miles per minute is:
1 ft per minute=0.000189 miles per minute.
( since, 1 ft.= 0.000189 miles )
Step-by-step explanation:
Conversion factor--
A conversion factor is a factor which is used to convert one unit to another by multiplication or division by a specified number.
We know that:
1 miles= 5280 ft.
This means that:
1 ft.=1/5280 miles
i.e. 1 ft.= 0.000189 miles.
Hence, 1 ft per minute=0.000189 miles per minute.
a) f(-3)
b) f(3)
c) f(0)
Answer: a. -5
b. 4
c. -2
Step-by-step explanation:
a. x=-3 ==> x<0
f(-3)=
3(-3)+4=
-9+4=-5
b. x=3 ==> x>=0
f(3)=
2(3)-2=
6-2=4
c. x=0 ==> x>=0
f(0)=
2(0)-2=
0-2=-2
Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+4 . Write the equation in slope-intercept form.
Answer:
y = 3x + 9
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 4 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation of the parallel line
to find c substitute (1, 12 ) into the partial equation
12 = 3 + c ⇒ c = 12 - 3 = 9
y = 3x + 9 ← equation of parallel line
Vectors! A ship can sail at 30 km/h in still water. The ship heads due north. The water current is flowing at 10 km/h due east.
a) What is the actual velocity of the ship?
b) What direction does the ship sail in?
Answer:
a) 31.62 km/hb) 18.4° NE======================
GivenThe speed of the ship = 30 km/h,The speed of the current = 10 km/hA) Actual velocity is found as the sum of two vectors representing the two velocities.
Since the directions are at 90° (N and E), we will use Pythagorean to find the actual velocity.
[tex]v = \sqrt{30^2+10^2}=\sqrt{1000}= 31.62[/tex] km/h (rounded)b) Let the direction the ship sails in is x. Use trigonometry to find the angle from the North:
tan x = 10/30tan x = 1/3x = arctan (1/3)x = 18.4° NEif m ∟n, solve for x. (x + 21) (3x + 9) giving brainliest
Answer:
[tex](x + 21)(3x + 9) \\ x(3x + 9) + 21(3x + 9) \\ 3 {x}^{2} + 9x + 63x + 189 \\ 3 {x}^{2} + 72x + 189[/tex]
The two shortest sides of a right triangle are 6 and 8 units long, what is the length of the perimeter
The perimeter of the right angled triangle is 24 units.
The perimeter is defined as the sum of all sides of a polygon. To calculate the perimeter of a triangle we add the length of all the 3 sides of the triangle.
The given side lengths are 6 and 8 units.
We know from Pythagorean theorem that for a right angled triangle the sum of the squares of the legs is equal to the square of the hypotenuse of the triangle.
Hypotenuse is the longest side in a right angled triangle.
Therefore the hypotenuse in this triangle is given by:
Hypotenuse² = 6² + 8²
or, hypotenuse = √(36 + 48) units
or, hypotenuse =√100
or, hypotenuse= 10 units
Now perimeter = (6 + 8 + 10) units = 24 units.
Hence the perimeter of the given right angled triangle is 24 units.
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I’m doing linear equations please help !! 1+6x=19
16/5 divided by 6/5 =
A. 3/8
B. 96/25
C. 8/3
D. 25/96
In the figure below, angle 1=(x+42)° and angle 2=2x° Find the angle measures.
Answer:
Step-by-step explanation:
The area of the walkway and garden is represented by the expression
2x2 + 12x + 16. Write an expression in factored form that represents
the area of the walkway. Then find the area of the walkway if x is
3 meters. (Hint: Subtract the expression that represents the area of the
garden from the expression that represents the area of both before
factoring.)
The factorized form of the quadratic is 2*(x + 2)*(x + 4), and when x = 3m, the walkway area is 52 square meters.
How to factorize the area equation?
Here we know that the area is given by the expression:
2x^2 + 12x + 16
To factorize this, we need to find the roots of the quadratic equation, these are the solutions of:
2*x^2 + 12x + 16 = 0
The solutions are given by:
x = (-12 ± √(12^2 - 4*2*16))/(2*2)
x = (-12 ± 4)/4
The two solutions are:
x = (-12 + 4)/4 = -2
x = (-12 - 4)/4 = -4
Then the factored form is:
y = 2x^2 + 12x + 16 = 2*(x^2 + 6x + 8) = 2*(x + 2)*(x + 4)
Now we want to get the area if the walkway if x = 3, the total area of the walkway and the garden will be:
y = 2*(3 + 2)*(3 + 4) = 70
And the garden measures x by 2x, then if x = 3, the area of the garden is:
a = x*2x = 3*(2*3) = 18
Then the area of the walkway alone is:
70 - 18 = 52
The area of the walkway is 52 square meters.
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September
A box has 22 white balls and 25 black
balls. How many balls are there in box?
Answer:
47
Step-by-step explanation:
22+25=47
Hope this helps.
Answer:
Step-by-step explanation:
If the box has 22 white and 25 black, you would add 22 and 25 to find the total amount
22+25= 47
There are 47 balls in the box
Hope this helps! ^^
What is 48 = 3x - 15
Answer: x=21
Step-by-step explanation:
Monica wants to open a savings account with a deposit of 3,000 monica will not make
Account Y would earn Monica about $62.70 more interest than account X.
Given Monica deposits $3000.
Bank offers two different savings accounts.
Account X pays 2.1% simple annual interest and Account Y pays 2.4% compounded annually, both for 5 years.
For account X, we have:
Principal (P) = $3000
time (t) = 5 years
rate of interest (r) = 2.1%
we need to calculate simple interest:
Simple interest = P×t×r/100
= 3000c5×2.1/100
= $315
simple interest for 5 years is $315
For account Y, we have:
Principal (P) = $3000
time (t) = 5 years
rate of interest (r) = 2.4%
we need to calculate Compound interest:
compound interest = P×(1₊rate)^time ₋ P
= 3000(1₊2.4/100)⁵ ₋ 3000
= 3000(1.024)⁵ ₋ 3000
= 3000(1.12589907) ₋ 3000
= 3377.69 ₋ 3000
= $377.69
The compound interest for 5 years is $377.7
compound interest of account Y ₋ simple interest of account X
= 377.7 ₋ 315
= $62.70
hence the right option is that account Y would earn Monica about $62.70 more interest than account X.
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Your question is incomplete.Please find the missing content below.
Monica wants to open a savings account with a deposit of $3000. Monica will not make any additional deposits or withdrawals after she opens the account. Her bank offers two different savings accounts. Account X pays 2.1% simple annual interest. Account Y pays 2.4% interest compounded annually. Which statement about these accounts at the end of 5 years is true?
Account X would earn Monica about $62.70 more interest than Account Y.
Account Y would earn Monica about $62.70 more interest than Account X.
Account X would earn Monica about $45.00 more interest than Account Y.
Account Y would earn Monica about $45.00 more interest than Account X.
Peanuts: your cost c to buy a p pounds of peanuts at $1.50/lb is represented by c = 1.5p
Is it continuous or discrete
The given function for peanuts is continuous function.
What is defined as the continuous functions?A continuous function, as the name implies, refers to one for whom the graph is continuous without a breaks or jumps.
In other words, if we can create the curve (graph) of a function even without lifting a pencil, we can say that function is continuous.In calculus, a function f(x) is considered to be a continuous function at a point x = a if its curve does not break at that point x = a .For the given expression in the question;
The relation between the cost 'c' and wight 'p' in pounds for the peanuts is given as;
c = 1.5p
As, you can see that the expression is a polynomial having two variables with the highest degree 1.
And, as we know that the every polynomial is a continuous function.
The given function forms a straight line on as for every different real value of p there s single value of c, which varies linearly.
Therefore, the function c = 1.5p is a continuous function forming a straight line.
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Desmos how would you explain the difference between volume and surface area?
Answer:
Volume is when you are finding the space inside of a 3D figure, and surface area is when you are finding the area of the surface(s) of a figure.
Hope this helps :)
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y ≤ -5
Plotting the inequalities using online graphing calculator. The graph is attached.
What is the example of inequality?
A disparity in size, quantity, quality, social standing, or another aspect is what is meant by the term "inequality." When you have ten of something and someone else has none, that is an instance of inequality.Given the system of inequalities:
3y > 2x + 12
3y - 2x > 12 (1)
2x + y < -5 (2)
Plotting the inequalities using online graphing calculator. The graph is attached.
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Find the the slope of the line y=-9x+10
Answer:
-9
Step-by-step explanation:
This equation is written in slope intercept form, so This will make it easier.
We can find the slope of the line by plotting the equation, or using the equation itself.
y = mx + b is the slope-intercept form, where m is the slope
this means that the slope is -9
Hope this helps! ^^
what value does the 3 represent in the number 16.344
if 4 liters of a 15% vinegar solution is mixed with x liters of a 30% vinegar solution, the result is a 25% vinegar solution. How many liters of the 30% vinegar solution were mixed ?
8 liters of 30 percent vinegar solution was mixed.
Percent or percentage is defined as the value for every 100. the simple way to calculate percentage is by dividing the data with the whole data and multiplying it by 100.
4 liters of 15 percent vinegar solution contains:
(15/100)×4 liters of vinegar=0.6 liters
x liters of 30 percent vinegar solution contains:
(30/100)× x liters of vinegar=0.03x liters
Therefore the total vinegar in the 25 percent solution is (0.6+0.3x) liters.
Total volume of the solution is (x+4) liters
(x+4) liters of 25 percent solution contains:
(25/100)×(x+4) liters =(0.25x+1) liters
Now we can equate both values to calculate the value of x from a linear equation:
(0.6+0.3x)=(0.25x+1)
or, 0.05x=1-0.6
or, x= 8 liters
Hence 8 liters or 30 percent solution was mixed.
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Fg=14a+1, Fm=14.5 what is a
The value of a is 2.
A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment FG, where the length of line segment FG refers to the distance between its endpoints, F and G.
Given that M is the midpoint of FG
FG = 14a + 1 and FM = 14.5
FG = FM + MG
Since M is the midpoint of FG, So FM = MG
FG = FM + FM
FG = 2FM
Substitute the values of FG = 14a + 1 and FM = 14.5,
14a + 1 = 2(14.5)
14a + 1 = 29
14a = 28
a = 28/14
a = 2
Therefore, the value of a is 2.
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Your question was incomplete. Please refer the content below:
Suppose M is the midpoint of FG. Find the missing measure.
FG = 14a + 1. FM = 14.5
Answer A=?
This is really confusing for me pls help!
Who invented algebra?
p → ¬q use the conditional-disjunction equivalence to find an equivalent compound proposition that does not involve conditionals
Answer:
¬p ∨ ¬q
Step-by-step explanation:
Since p → q is equivalent to ¬p ∨ q, just invert q
Using DeMorgans theorem, you could also write it as ¬(p ∧ q)
Find the area of a rectangle that has a length of 21 meters and width of 5 meters. Express the area in square feet and round your answer to the nearest tenth.
Answer:
Area = 105 square feet
Hope this helps :)
Step-by-step explanation:
Formula for Area of a Rectangle: l × w = Area
1. To find the area, multiply 21 and 5.
21 × 5 = 105
Area = 105 square feet
Jeremiah makes a recipe that calls for 112 cups of flour and 34 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?
\
Answer:
336/34
Step-by-step explanation:
Answer:
6 cups
Step-by-step explanation:
cuz im smart :)
es
Angela Simpson is considering the purchase of a home entertainment center. The product attributes she plans to consider and the
weights assigned to each attribute are listed in the table below.
Product Attributes
Portability
Sound projection
Warranty
Angela rated the brands as follows.
Brand A
Brand B
Brand C
0.2
0.5
0.3
Brand A
Brand B
Brand C
Sound
Portability Projection Warranty
7
8
10
5
Product
Evaluation Rating
87100
Using the consumer buying matrix, conduct a quantitative product evaluation rating for each brand. What other factors is Tammy likely
to consider when making her purchase? (Do not round intermediate calculations. Round your answers to 1 decimal place.)
9
7
Product Evaluation Rating for Brand A = 7.5
Product Evaluation Rating for Brand B = 7.4
Product Evaluation Rating for Brand C = 8.3
A product's acceptability for customers or a specific group is determined through the methodical process of product evaluation.
A visual representation of consumer behavior in terms of purchasing choices is a consumer buyer matrix. It also serves as a marketing tool for strengthening and expanding brands.
Given that :
Product Attributes -
Probability = 0.2
Sound projection = 0.5
Warranty = 0.3
Probability of Brand A = 7
Probability of Brand B = 10
Probability of Brand C = 6
Sound projection of Brand A = 8
Sound projection of Brand B = 6
Sound projection of Brand C = 10
Warranty of Brand A = 7
Warranty of Brand B = 8
Warranty of Brand C = 7
Calculation of Product Evaluation Rating :
Brand A = (7 x 0.2) + (8 x 0.5) + (7 x 0.3) = 1.4 + 4 + 2.1 = 7.5
Brand B = (10 x 0.2) + (6 x 0.5) + (8 x 0.3) = 2 + 3 + 2.4 = 7.4
Brand C = (6 x 0.2) + (10 x 0.5) + (7 x 0.3) = 1.2 + 5 + 2.1 = 8.3
Therefore,
Product Evaluation Rating for Brand A = 7.5
Product Evaluation Rating for Brand B = 7.4
Product Evaluation Rating for Brand C = 8.3
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Joan is planting a rectangular garden that is 20 ft. long and 25 ft. wide. What is the total area of the garden?
A. 90 ft²
OB. 45 ft²
OC. 180 ft2
OD. 500 ft²
E. 1025 ft²
Answer:
D
Step-by-step explanation:
A florist has to make several bouquets with 36 roses, 27 tulips and 18 lilies. What is the largest number of bouquets she can make without any flowers being left out?
Find the difference: −14 −(−12)
Answer:
=-2
________________________________________________________
[tex]a-\left(-b\right)=a+b[/tex] <- Apply this rule too -14-(-12)
[tex]-14-\left(-12\right)=-14+12[/tex]
[tex]=-14+12[/tex]
[tex]-14+12=-2[/tex] <- Add the numbers
[tex]=-2[/tex]
________________________________________________________
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Algebra 2 Table Question
Answer:
Y = 7/{3^(x+1)}
The number 7 is constant in the relation
The denominator is increasingly exponentially with the number 3 as i