Answer:
the answer is B because the 6 is multiplied by the -3 and the rot 5 is multiplied by root 2
4. Old Faithful, Yellowstone National Park's most famous
geyser, shoots a spray of steam and hot water 50 m
into the air. Is this height greater or less than 5,000 mm?
Greater because a meter is greater than a millimeter.
Also can I get the brainliest pls?
If the difference of a number and eight is tripled, the result is six more than the number. Find the number. Round your answer to the nearest integer, if necessary.
The number that is six less than the product of three and the difference of the number and eight is; 15
How can the required number in the word problem be found?The verbal expression of the equation in the word problem is presented in mathematical form as follows;
(x - 8) × 3 = x + 6Expanding the left hand side gives;
3•x - 3×8 = x + 6
3•x - 24 = x + 6
3•x - x = 24 + 6 = 30
2•x = 30
x = 30/2 = 15
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Solve
4x + 8y = 16 for X.
Solve for x
Answer:
x = 4 - 2y
Step-by-step explanation:
4x + 8y = 16
or, x + 2y = 4
or, x = 4 - 2y
Answer:4-2y
Step-by-step explanation:
A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "One-half of my cats plus seven." How many cats does the nemesis have?
Answer:
14
Step-by-step explanation:
You want the number of my cats when that number is "one-half of my cats plus seven".
SetupLet the number of cats be represented by c. Then the description of the number of cats is ...
c = c/2 +7
SolutionMultiplying by 2 gives ...
2c = c +14
c = 14 . . . . . . . subtract c
The nemesis has 14 cats.
A toilet manufacturer has decided to come out with a new and improved toilet. The fixed cost for the production of this new toilet line is $16,600 and the variable costs are $67 per toilet. The company expects to sell the toilets for $157. Formulate a function P(x) for the total profit from the production and sale of x toilets.
The function P(x) for the total profit from the production and sale of x toilets is P(x) = 90x - 16600
How to formulate a function P(x) for the total profit from the production and sale of x toilets?The given parameters are
Fixed cost = 16600
Variable cost = 67 per toilet
Cost of toilet = 157 per toilet
Let the number of toilets be x
So, the cost function is
C(x) = Fixed cost + Variable cost * Number of toilets
This gives
C(x) = 16600 + 67x
Also, we have the revenue function to be
R(x) = Cost of toilet * Number of toilets
This gives
R(x) = 157x
The function P(x) for the total profit from the production and sale of x toilets is
P(x) = R(x) - C(x)
So, we have
P(x) = 157x - 16600 - 67x
Evaluate
P(x) = 90x - 16600
Hence, the function P(x) for the total profit from the production and sale of x toilets is P(x) = 90x - 16600
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what is the solution to -3/8x-11=4
Answer: -40
Step-by-step explanation:
Answer:
-1/40
Step-by-step explanation:
-3/8x -11+11=4+11
-3/8x=15
-3/8x x=15x
-3/8=15x
15x/15= -3/8/15
x=-1/40
Hope this helps!^^
What is the greatest common factor of 38 and 30?
The greatest common factor of 38 and 30 is 2.
How to calculate the value?It should be noted that thw first step to this method of finding the Greatest Common Factor of 30 and 38 is to find and list all the factors of each number.
Let’s take a look at the factors for each of these numbers, 30 and 38:
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 38: 1, 2, 19, 38
When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 30 and 38 would be 2.
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Question 2
2 pts
James wants to have earned $8,388 amount of interest in 22 years. Currently he finds that his
annual interest rate is 7.34%. Calculate how much money James needs to invest as his principal in
order to achieve this goal.
The money James needs to invest as his principal in order to achieve this goal is $ 5, 197. 67
How to determine the amount
The formula for simple interest is expressed as;
Simple Interest, I = PRT/100
Where:
P is the principal amountR is the rateT is the timeSubstitute the values
8388 = P × 7. 34 × 22/ 100
cross multiply
161. 48 P = 838800
Make 'P' the subject of formula
P = 838800/ 161. 38
Divide through
P = $ 5, 197. 67
Thus, the money James needs to invest as his principal in order to achieve this goal is $ 5, 197. 67
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use the discriminant to find the number of real solutions of the equation
3x 2 -5x +4=0
Answer:
zero real solutions
Step-by-step explanation:
You want the number of real roots of 3x² -5x +4 = 0 and determined by using the discriminant.
DiscriminantThe discriminant of a quadratic equation ax²+bx+c=0 is ...
d = b² -4ac
When d < 0, both roots are complex. When d = 0, there is one (repeated) real root. The number of real solutions is 2 when d > 0.
ApplicationFor this equation, a=3, b=-5, c=4, so the discriminant is ...
d = b² -4ac = (-5)² -4(3)(4) = 25 -48 = -23
This means both roots are complex. There are no real solutions.
__
Additional comment
As confirmation, we can look at the graph. It does not cross the x-axis, so there are no (real) values of x that make the value of the quadratic be zero.
Can someone help me get the points I’ll make u brilliant the points are S T R U
Using translation concepts, the coordinates of the vertices after a rotation 180º clockwise around the origin is:
S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the coordinates (x,y) of the vertices are given as follows:
S(4,10), R(4,3), U(8,3), T(8,10).
The rule for a rotation 180º clockwise around the origin is:
(x,y) -> (-x,-y).
Hence the vertices of the rotated image will be given as follows, applying the above rule:
S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).
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If an arrow is shot upward on the moon with a velocity of 58 m/s, its height in meters after t seconds is given by y=58t−.83t2.
(a) Find the average velocity over the given time intervals:
(1) [1,1.5]
(2) [1,1.1]
(3) [1,1.01]
(4) [1,1.001]
(b) Find the instantaneous velocity after one second (to the nearest hundredth).
(1) m/s
(2) m/s
(3) m/s
(4) m/s
(b) m/s
The 58 m/s initial velocity of the arrow with height, y = 58•t - 0.83•t², gives;
(1) 55.925 m/s
(2) 56.257 m/s
(3) 56.3317 m/s
(4) 56.33917 m/s
(b) 56.34 m/s
How can the average and instantaneous velocity be calculated?Initial velocity of the arrow = 58 m/s
Height of the arrow is; y = 58•t - 0.83•t²
The above kinematic equation can be analyzed as follows;
(1) The height at t = 1 is found as follows;
y = 58 × 1 - 0.83 × 1² = 57.17
Height at t = 1.5 s. is y = 58×1.5 - 0.83×1.5² = 85.1325
Average velocity = ∆y/∆tWhich gives;
Average velocity = (85.1325-57.17)/(1.5-1) = 55.925
The average velocity in the interval [1, 1.5] is therefore;
55.925 m/s(2) [1, 1.1]
Height at t = 1.1 s. is y = 58×1.1 - 0.83×1.1² = 62.7957
Which gives;
Average velocity = (62.7957-57.17)/(1.1-1) = 56.257
The average velocity is 56.257 m/s(3) [1, 1.01]
Height at t = 1.01 s. is y = 58×1.01 - 0.83×1.01² = 57.733317
Which gives;
Average velocity = (57.733317-57.17)/(1.01-1) = 56.3317
The average velocity is 56.33 m/s
(4) [1, 1.001]
Height at t = 1.01 s. is y = 58×1.001 - 0.83×1.001² = 57.22633917
Which gives;
Average velocity = (57.22633917-57.17)/(1.001-1) = 56.33917
The average velocity is 56.33917 m/s(b) The equation for the instantaneous velocity is found as follows;
v = dy/dt = 58 - 2×0.83•t
After 1 second, we have;
t = 1
v = 58 - 2×0.83 × 1 = 56.34
The instantaneous velocity at t = 1 seconds is 56.34 m/s
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What is the equation 5y+22=5x-33 written in slope intercept form
Answer:
y = x - 11
Step-by-step explanation:
5y + 22 = 5x - 33
5y = 5x - 33 - 22
5y = 5x - 55
y = x - 11
Factor out the greatest common factor.
3x³-18x² + 12x
Answer:
x² - 6x + 4
Step-by-step explanation:
Hello!
Factor each term completely:
3x³ = (3)(x)(x)(x)-18x² = (-1)(2)(3)(3)(x)(x)12x = (2)(2)(3)(x)Common factors that are shown in all 3 terms are x and 3.
Divide each term by 3x:
(3)(x)(x)(x) ÷ 3x = (x)(x) = x²(-1)(2)(3)(3)(x)(x) ÷ 3x = (-1)(2)(3)(x) = -6x(2)(2)(3)(x) ÷ 3x = (2)(2) = 4Combine the terms: x² - 6x + 4
Decide if each statement below is
true or false.
45 tens is equal to 450.
12.3 is equal to 123 ones.
80 tens is greater than 6 hundreds.
43,200 is less than 50 thousands.
60 hundreds = 6,000
(a) 45 tens is equal to 450. :- True
(b) 12.3 is equal to 123 ones. :- True
(c) 80 tens is greater than 6 hundreds. :- True
(d) 43,200 is less than 50 thousands. :- True
(e) 60 hundreds = 6,000 :- True
Consider the first statement,
45 tens are equal to 450
So, 45 tens mean 45 times 10 is written as:
45 × 10 = 450
Hence, it's true.
Consider the second statement,
12.3 is equal to 123 ones.
Now, 123 ones is equal to 123 times 1.
123 × 1 = 123
Hence, the statement is true.
Consider the third statement,
80 tens is greater than 6 hundreds.
Now 80 tens = 80 × 10 = 800
Now, 6 hundreds = 6 × 100 = 600
Now, 800 > 600
Hence, the statement is true.
Consider the fourth statement.
43,200 is less than 50 thousands.
Now, 50 thousands = 50 × 1000 = 50,000
We know,
50,000 > 43,200
Therefore, the statement is true.
Consider the fifth statement,
60 hundreds = 6000
Now, 60 hundreds = 60 × 100 = 6000
Therefore, the statement is true.
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Only answer if you are beinggreat78!
[tex]s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} [/tex]
The shaded region represents 1.5 grids
[tex]1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} [/tex]
Option AAnswer:
D
Step-by-step explanation:
The answer and work is in the attached screenshot! :)
Find the slope of a line perpendicular to the line -3x + 4y = 7.
Answer:
perpendicular slope = - [tex]\frac{4}{3}[/tex]
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 )
given
- 3x + 4y = 7 ( add 3x to both sides )
4y = 3x + 7 ( divide through by 4 )
y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{7}{4}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex]
The sum of a number and seven
Answer:
x + 7
___________________________________________________
What are variables?
A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common symbols used for variables!
How do we describe variables in word form?
When we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).
In this case "The sum of a number" has no definite correlation to a number, therefore, it is automatically considered a variable.
Then, since it says "The sum" we know we are adding. Adding what? We are adding an unknown term to the number 7.
Henceforth, the answer is x + 7.
___________________________________________________
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Doug says the area of the figure is 20 square units. What is the correct area of
the figure? What mistake might Doug have made?
5 units
5 units
Answer:
The correct area is 25 square units.
His mistake was that he found the perimeter instead of the area.
Step-by-step explanation:
Area = Length x Width
Area= 5 x 5= 25
His mistake:
Perimeter = length + length + width + width
Perimeter = 5 + 5+ 5+ 5 = 20
A mobile phone manufacturing unit produces a certain number of mobile phones in a day. The cost of each phone was found to be 55 minus the number of mobile phones produced in a day. On a particular day, the total cost of production was $750, find the number of mobile phones produced on that day.
Answer:
−55x+750=0
Step-by-step explanation:
is this proportion or not a meal delivery service cost $10 to sign up ,plus $24.99 each month ASAP
Answer:
This is not proportional.
Step-by-step explanation:
If there was no meal delivery cost than it would be proportional.
greg sets his watch for the correct time exactly one week later he finds that his watch 1 1 over 3 minutes it loses time at the same rate for eight weeks write a multiplication expression that describes the sittuation find the product and explain how it is related to the problem?
The product or overall change in time for 8 weeks will be 29.33 minutes.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
After one week, Greg's watch has lost 11/3 minutes. If the watch continues to lose time at the same rate, we can say that the change in time is 11/3 minutes per week.
According to given question we have
(11/3 minutes/week) x (8 weeks) = 29.33 minutes
Therefore, the product or overall change in time for 8 weeks will be 29.33 minutes.
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21x5-12+31 Order of Operations
Answer:625
Step-by-step explanation:(2+3)^4
5^4
Find the inverse of the linear function
Answer:
D [tex] \frac{1}{3} x - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex] f(x) = 3x + 2[/tex]
[tex] {f}^{ - 1} (x) = \frac{x}{3} - \frac{2}{3} ⟹ \frac{1}{3} x - \frac{2}{3} [/tex]
NEED ANSWERS ASAP WE NEED IT TOMORROW GRADE SIX MATH
1.What is the difference when ⅓ is subtracted from ¾?
2.The sum of ³/⁷ and ½ is equal to? ___
3.The difference between ⅘ and ¼ is ___
4. The sum of 2¼ and 1³/²⁴ subtracted by 1¾ is ______
could anyone help me with this?
Answer: Domain: -2<=x<=2
Range: -2<=y<=2
Not a function
Step-by-step explanation:
Domain: x goes from -2 to 2
-2<=x<=2
Range: y goes from -2 to 2
-2<=y<=2
Not a function since there are several y-coordinates that have the same x-coordinate, so the graph doesn't pass the vertical line test. Example: (0, -2) and (0, 2).
If y varies directly as x, and y = 8 when x = 4, find y when x = 24.
The value of y is 48
How to calculate the value of y in the variation ?y= kx
let's solve for k which is the constant
y= 8 , x= 4
k= 8/4
k= 2
Next is to calculate the value of y when x is 24
y = 2 × 24
y= 48
Hence the value of y is 48
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What is the Area of the Figure?
Answer: 58 sq ft
Step-by-step explanation:
2 * 2 = 4
9 * 6 = 54
54+4=58
f has a range of (-4, infinity), and a graph that is symmetric about the line x = -1 , and has a y- intercept of -3
The graph of the parabola is given at the end of the answer.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Considering the range and the symmetry line, the vertex of the function is at (-1,-4) and:
h = -1, k = -4.
Hence:
y = a(x + 1)² - 4.
It has a y-intercept of -3, that is, when x = 0, y = -3, hence we use it to find a as follows.
-3 = a - 4
a = 1.
Hence the function is:
y = (x + 1)² - 4.
The graph of this function is given at the end of the answer.
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Being... Great.... might be 78?! nah she prolly not im jk
Answer:
B.
Step-by-step explanation:
233% = 2.33
2 2/3 = 2.6
All work and the answer is provided in the screenshot that is attached! :)
Have a great day!
write one hundred sixty-six thousandths in standar form
0.166 is the standard form of that