Answer:
x = 0.75
Step-by-step explanation:
first make the x term the subject
-7 = 12x - 16
-7 + 16 = 12x
add the like terms
9 = 12x
solve for x
9÷ 12 = 12x ÷ 12
0.75 = x
A particle moves along a hyperbola
xy = 12.
As it reaches the point (4, 3), the y-coordinate is decreasing at a rate of 3 cm/s. How fast is the x-coordinate of the point changing at that instant?
first off, let's notice that "x" and "y" are encapsulating a function in terms of time or namely "t", and that dy/dt is decreasing at a rate of 3 cm/s, since the rate is decreasing, that makes the rate negative, thus is changing at -3 cm/s.
[tex]xy=12\implies \stackrel{product~rule}{\cfrac{dx}{dt}y~~ + ~~ x\cfrac{dy}{dt}}~~ = ~~0\implies \cfrac{dx}{dt}y~~ + ~~x(-3)~~ = ~~0 \\\\\\ \cfrac{dx}{dt}y=3x\implies \left. \cfrac{dx}{dt}=\cfrac{3x}{y} \right|_{(\stackrel{x}{4},\stackrel{y}{3})}\implies \cfrac{3(4)}{3}\implies 4[/tex]
This morning, Christines car had 22.13 gallons of fuel. Now, 1.9 gallons are left. How much fuel did Christine use?
Answer:
21.4 I think, I might be wrong though
Circle K has an area of 80 cm^2. Circle M has a radius that is 2 times the radius of Circle K. What is the area of Circle M?
Answer:
Two shapes are similar when they have the same shape while their sizes may be the same or different
Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor
All circles have the same shape and are defined by their center and radius
Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;
r × a = s
Where a = s/r, we get;
r × s/r = s
We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a
Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'Step-by-step explanation:
answer asap and only if yk 100% its correct
Answer:
6
Step-by-step explanation:
the answer is 6 because to solve for perimeter you just need to add up all the sides. so 2.4+2.1+1.5=6
please Hurryyy
Triangle HIJ has side lengths h=12, i = 17, j = 7. What is the measure of angle J?
35.4°
16.0⁰
124.8*
19.8°
The measure of angle J is 19.8°, and the correct option is D.
What is the formula of cosine?The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.
The following formula is used to find the angle j is;
[tex]\rm j^2 = h^2 + i^2 -2hicosC[/tex]
Triangle HIJ has side lengths h=12, i = 17, j = 7.
Substitute all the values in the formula;
[tex]\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8[/tex]
Hence, the measure of angle J is 19.8°, and the correct option is D.
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Which computation should be done last 2x9 -3x5+4?
How can I solve that problem
What do we know so far:
[tex]2\frac{2}{3}laps[/tex] in [tex]\frac{4}{15}hour[/tex] ⇒ [tex]\frac{8}{3}laps[/tex] in [tex]\frac{4}{15}hour[/tex]*we converted the number of laps into improper fractions
[tex]2\frac{2}{3} = \frac{8}{3}[/tex]
We want to know the number of laps in an hour
⇒ so we must find the rate which ⇒ lap/hour
[tex]lap/hour =\frac{8/3laps}{4/15hours} =\frac{8}{3}*\frac{15}{4} =\frac{8}{4} *\frac{15}{3} =2*5=10laps/hour[/tex]
So William can run ⇒ 10 laps in one hour
Hope that helps!
Write a percent proportion and sa
22 is 44% of what number?
What is the volume of a square pyramid with a 10 x 10 foot base and an altitude of 6 feet?
Answer:
I believe the answer is 200 feet squared
Step-by-step explanation:
A rectangle is 8 meters long and 5 meters wide. The area of the rectangle is square meters. The solution is
Answer:
40 square meters
Step-by-step explanation:
Length of rectangle = 8 m
Width of rectangle = 5 m
A(rectangle) = Length * Width
-> A(rectangle) = 8*5
-> A(rectangle) = 40 square meters
Find the value of x. Round your answer to the nearest tenth
Answer:
13.8
Step-by-step explanation:
Let us use tan theta to find the value of x.
tan Θ = Opposite ÷ Adjacent
Given that,
Opposite ⇒ 12
Let us solve it now.
tan Θ = Opposite ÷ Adjacent
tan 41 = 12 ÷ x
0.8692 = 12 ÷ x
x = 12 ÷ 0.8692
x = 13.80
x ≈ 13.8
PLEASE help ………………….
Answer:
1st Part: Infinitely many solutions
2nd Part: Exactly one solution
3rd Part: No Solutions
Step-by-step explanation:
First Part: 4(x - 1) = 4x - 4
Distribute. 4x - 4 = 4x - 4
Because the equations are the same, any value can be substituted for x and both the equations' values would still be equivalent.
2nd Part:
x + 4 = 4(x + 1)
x + 4 = 4x + 4
Minus 4 both sides
x = 4x
Only 0 can make this equation true, meaning it only has ONE solution.
Third Part:
4x + 1 = 4(x - 1)
Distribute.
4x + 1 = 4x - 1
Subtract 4x both sides
1 = -1
Obviously, 1 and -1 are not equivalent, meaning there are no value that can be substituted for x to make this equation true.
What is the cost of six filters if eight filters cost $39.94
Answer:
29.95
Step-by-step explanation:
You need to divide 39.94 by 8 to find the value of each filter and then multiply the cost of one by 6.
Which of the following could be the lengths of the sides for a triangle that is
similar to the one shown?
12
16
24
O A. 16, 18, and 48
OB. 12, 24, and 48
OC. 4, 6, and 14
D. 6, 8, and 12
Answer:
D
Step-by-step explanation:
6x2 is 12
8x2 is 16
12x2 is 24
the scale factor is x2
would the sequence 5,11,18,26 be arithmetic/ geometric or neither
arithmetic: common difference
geo: common ratio
neither: how if the pattern obtain ?
Answer:
Neither: The pattern is (1/2)n^2 + 4.5n
Step-by-step explanation:
You can use quadratic regression to figure it out
Lucy is counting by 2s. She starts with the number 2 and stops at the number 50.
Which number would Lucy not count?
A 11
B 22
C 34
D 48
The number which Lucy did not count is A = 11
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Lucy is counting by 2s, starting with 2, which means that she is counting all even numbers between 2 and 50.
To find the number that Lucy would not count, we need to find the odd number between 2 and 50.
On simplifying the equation , we get
The odd numbers between 2 and 50 are: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.
Hence , Lucy would not count the even number that corresponds to the odd number 11
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
8.9
Step by Step Explanation:
[tex]x =6 \: { \tan} \: 56 \degree \\ \\ \implies \: x = 8.8953658111\\ \\ \implies \: x \approx 8.9[/tex]
5) Paul invests $3,092 in a savings account
with a fixed annual interest rate
compounded 4 times per year.
After 9
years,
the balance reaches $4,835.71.
What is the interest rate of the account?
Answer:
R = 5% per year
Step-by-step explanation:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 4 × [(4,835.71/3,092.00)^1/(4)(9) - 1]
r = 0.05
Then convert r to R as a percentage
R = r * 100
R = 0.05 * 100
R = 5%/year
Summary:
The interest rate required to get a total amount of $4,835.71 from compound interest on a principal of $3,092.00 compounded 4 times per year over 9 years is 5% per year.
Describe how the graph of the function is related to the graph of its parent function.
y=-2X+1
O A Reflected across the y-axis and shifted up 1 unit
shirjeno
OB. Reflected across the x-axis and shifted up 1 unit
O C. Reflected across the y-axis and shifted to the right 1 unit
O D. Reflected across the x-axis and shifted to the right 1 unit
Answer:
B
Step-by-step explanation:
The -2 reflects across the x -axis
The + 1 shifts it up one unit
The subtotal for a TV was $950.00. What does that mean
The cost of the TV after taxes and other fees are added to it.
The cost compared to similar TV’s in different stores.
The total cost for the TV.
The cost of the TV before taxes and other fees are added to it.
The subtotal for a TV was $950.00. so it is the cost of the TV before taxes and other fees are added to it.
What is subtotal?Subtotal is defined as the actual cost of any product when there will not be any taxes or charges are levied on the product.
The subtotal for a TV was $950.00. so it is the cost of the TV before taxes and other fees are added to it.
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If anyone can answer these 4 questions it would be greatly appreciated beyond words can describe
Answer:
answer your own
brainliest me now
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
(49,-56)
Step-by-step explanation:
I not sure but scale factor show the magnitude therefore you multiply by the scale factor to get the image.
If an order is for 500mg from a dosage strength of 250 mg/mL, is to be administered in 20 cc D5 1/2NS, how many mL of drug is used and how many mL of D5 1/2NS is used?
Answer:
Dosage strength
250mg = 1.5mL
A regular hexagon is dilated by a scale factor of 4/3 to create a new hexagon. How does the perimeter of the new hexagon compare with the original perimeter?
oPTIONS:
The perimeter of the new hexagon is 4/3 the perimeter of the original hexagon.
The perimeter of the new hexagon is 12/3 the perimeter of the original hexagon.
The perimeter of the new hexagon is 16/3 the perimeter of the original hexagon.
The perimeter of the new hexagon is 16/9 the perimeter of the original hexagon.
Answer:
When a figure is dilated by a scale factor of a/b, then the new perimeter is a/b of the original perimeter and the new area is a 2 b 2 of the original area. Therefore, if the hexagon is dilated by a scale factor of , then the new perimeter is of the original perimeter.
How many edges are there in a cube
Answer:
12
Step-by-step explanation:
Jayden has plantains and pineapples in a ratio of 35:270. How many pineapples does he have if he has 7 plantains?
In a village, 80% of the houses have straw roofs
and 34% of the houses have no electricity. A
quarter of the houses with straw roofs has no
electricity: What percentage of the houses has
nelther straw roofs nor electricity? 5 marks
Answer:
20%
Step-by-step explanation:
Cindy has $25 saved and earns $12 per week for walking dogs. Mindy has $55 saved and earns $7 per week for watering plants. Cindy and
Mindy save all of the money they earn and do not spend any of their savings. After how many weeks will they have the same amount saved?
How much money will they have saved?
Answer:
c : they will have both saved 97
Step-by-step explanation:
7*6 = 42 + 55(base) = 97
12*6 = 71 = 25(base) =97
there are two hydrogen atoms and one oxygen atom in a water molecule. complete the table, and graph the ordered pairs on the coordinate graph.
Answer:
______ allows data to be transmitted by the computer in ahu-man-of riendly from
Complete the frequency table for the following set of data. You may optionally click a
number to shade it out.
12, 4, 11, 3, 4, 0, 13, 13,
2, 6, 11, 0, 10, 11, 3, 4,
0, 10, 13, 2, 11, 9
12=1
4=3
11=4
3=2
0=3
13=3
2=2
6=1
10=2
9=1