Answer:
x=6
Step-by-step explanation:
log(5x+10)-log(4x+12)=1-2log(3)
log(5x+10/4x+12)=1-2log(3)
log(5x+10/4x+12)=log(10)+log(3^-2)
log(5x+10/4x+12)=log(10×3^-2)
log(5x+10/4x+12)=log(10×1/9)
log(5x+10/4x+12)=log(10/9)
5x+10/4x+12=10/9
9(5x+10)=(4x+12)10
45x+90=40x+120
5x=30
x=6
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definicion de hipotenusa
Answer:
La hipotenusa es el lado opuesto al ángulo recto en un triángulo rectángulo, resultando ser su lado de mayor longitud.
Step-by-step explanation:
Answer:
Lado opuesto al ángulo recto en un triángulo rectángulo.
Alex drives at a speed of 60 miles per hour.
How long will it take to drive 330 miles?
Answer:
5.5 miles
Step-by-step explanat
330 mph / 60 mph = 5.5 mph
Answer:
5 hours and 30 minutes
Step-by-step explanation:
Write three expressions that are equivalent to 2^6
Answer:
well 2^6 = 64 so 8x8, 32x2 and 16x4 would all be correct
Roger owes his father $15. He borrows another $25 from him. What integer represents the balance that he owes his father?
The integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
What is an integer?it is defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.
It is given that:
Roger owes his father $15. He borrows another $25 from him.
As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The amount Roger owes = $15
Roger borrows = $25
Total debt = -15 + (-25)
Total debt = -$40
The above integer represents the balance that he owes his father.
Thus, the integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
Learn more about the integer here:
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Could triangle ABC be congruent to ADC by SSS? Explain
Answer: it’s C
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Find the slope of the line that passes through (5,8) and (2,3).
Answer:
(-5,-3)
Step-by-step explanation:
y values minus y values over x values minus x values
how many millimeters equal 40.7 cm?
Answer:
407
Step-by-step explanation:
f(x) = 2x - 4; g(x) = { f(x)
Answer:
Step-by-step explanation:
subtract the divied
A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow? StartFraction 2 over 25 EndFraction One-fifth One-fourth Two-fifths
Answer:
b
Step-by-step explanation:
i did it
Answer:
b. 1/5
Step-by-step explanation:
i took the unit test on edge
please can you answer this ASAP
Answer:
x = 2
Step-by-step explanation:
[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow 4 (3 x - 1) = 20 \\ \\ \rm Divide \: both \: sides \: of \: 4 (3 x - 1) = 20 \: by \: 4: \\ \rm \longrightarrow \dfrac{4(3x - 1)}{4} = \dfrac{20}{4} \\ \\ \rm \dfrac{4}{4} = 1: \\ \rm \longrightarrow 3 x - 1 = \dfrac{20}{4} \\ \\ \rm \dfrac{20}{4} = 5: \\ \rm \longrightarrow 3 x - 1 = 5 \\ \\ \rm Add \: 1 \: to \: both \: sides: \\ \rm \longrightarrow 3 x + (1 - 1) = 1 + 5 \\ \\ \rm 1 - 1 = 0: \\ \rm \longrightarrow 3 x = 5 + 1 \\ \\ \rm 5 + 1 = 6: \\ \rm \longrightarrow 3 x = 6 \\ \\ \rm Divide \: both \: sides \: of \: 3 x = 6 \: by \: 3: \\ \rm \longrightarrow \dfrac{3x}{3} = \dfrac{6}{3} \\ \\ \rm \dfrac{3}{3} = 1: \\ \rm \longrightarrow x = \dfrac{6}{3} \\ \\ \rm \dfrac{6}{3} = 2 : \\ \rm \longrightarrow x = 2[/tex]
6x + -2 =16 solve for x
Answer:
3
Step-by-step explanation:
+2 =18
18/6 =3
Answer:
x=3
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
2. Write an algebraic
expression to represent
two less than a
Answer:
a-2
Step-by-step explanation:
What is the answer for this: f(x)=-5+1
Answer:
1 * -4 = -5 + 1
Step-by-step explanation:
Answer please
Fast
Fast
Answer:
A. 228.5
B. 10
Step-by-step explanation:
A. Since x represents the number of months, replace x with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.
B. You need to solve for x by switching the signs in the equation. Set the original equation (29x+54.5) equal to 344.50. To solve for x, first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing x in the original equation with 10, and if you get 344.5, your answer is correct.
Good luck :)
Can you help me with this? 5
help with math question !!!
Answer:
The average rate of change of the function [tex]f(x)=x^2-2x-5[/tex] for interval [tex]-5\leq x\leq 6[/tex] is -1
Step-by-step explanation:
We are given function [tex]f(x)=x^2-2x-5[/tex] and we need to determine the average rate of change of the function for interval [tex]-5\leq x\leq 6[/tex]
The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
We are given b=6 and a=-5
We need to find f(b) and f(a)
Finding f(b)
Putting x= 6 to find f(b)
[tex]f(x)=x^2-2x-5\\Put \ x=6\\f(6)=(6)^2-2(6)-5\\f(6)=36-12-5\\f(6)=19[/tex]
So, f(b)=19
Now finding f(a)
Putting x= -5 to find f(a)
[tex]f(x)=x^2-2x-5\\Put \ x=-5\\f(-5)=(-5)^2-2(-5)-5\\f(-5)=25+10-5\\f(-5)=30[/tex]
So, f(a)= 30
Finding average rate of change
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{19-30}{6-(-5)}\\Average \ rate \ of \ change=\frac{-11}{6+5}\\Average \ rate \ of \ change=\frac{-11}{11}\\Average \ rate \ of \ change=-1[/tex]
Average rate of change = -1
So, average rate of change of the function [tex]f(x)=x^2-2x-5[/tex] for interval [tex]-5\leq x\leq 6[/tex] is -1
8 equal sized boxes of trinkets are delivered to Jess home and all the trinkets are unloaded into one pile. Jess adds 14 of her own trinkto the pile. The trinket are then equally divided into 6 piles. Jess determines that each pile contains 9 trinkets. (Write an equation and solve the equation to find the number of trinkets that were originally in each of the 8 delivery boxes)
Answer:
now lemme answer this. u did the same to me.. came to my question and answered wrong i mean nothing.
revenge
How many terms are there in the following expression: 3a + 3ab + 7b – 2c – 4d?
5
9
7
1
Answer: 5
eergrwergtrw
What is the correct answer for both?
Answer:
11. C.
12. B.
Step-by-step explanation:
Factor them
An item has a listed price of $40. If the sales tax rate is 8% how much is the sales tax (in dollars)
Answer:
The sales tax will be $3.20
Step-by-step explanation:
Please help, I just started trig. Thanks!
Answer:
About 3.052 units
Step-by-step explanation:
I presume you won't need this explanation now, but just in case;
If we draw triangle MNK, as MN = NK we know is isosceles. Now let's draw an altitude to MK so that it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.
Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);
sin(55°)= 2.5/MN,
x = 2.5/sin(55°) ≈3.052
2 points
Rheese bought a new car for $17.500. The value of the car is depreciating at a rate of 4.6%
each year. How much would the car be worth in 4 years?
$20,949.07
$79,515.07
$1,488.03
$14,495.44
$14,253.86
quation of the asymptote for the given
Doint
Given:
Initial value of new car = $17,500
Depreciation rate = 4.6%
To find:
The value of car after 4 years.
Solution:
The exponential decay model is
[tex]y=a(1-r)^t[/tex]
where, a is initial value, r is decreasing rate and t is time in years.
Substitute a=17500, r=0.046 and t=4 in the above equation.
[tex]y=17500(1-0.046)^4[/tex]
[tex]y=17500(0.954)^4[/tex]
[tex]y=17500(0.8283111)[/tex]
[tex]y=14495.44425[/tex]
[tex]y\approx 14495.44[/tex]
The value of car after 4 years is $14495.44.
Therefore, the correct option is D.
How do you find a unit rate for $2.50 for 5 ounces
Answer:
You divide 2.50 by 5.
So 2.50/5 makes it $0.50 per ounce.
Answer: $0.50 for 1 ounce
Step-by-step explanation:
To find a unit rate, you have to find the cost for one. When we say it's $2.50 for 5 ounces, it's for 5, not 1. So we have to divide by 5.
2.50/5= 0.5 and 5/5=1
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Jack was working on shooting free throws the ratio of the number of baskets made to the number of baskets missed was 10:6. Select ALL equivalent that represent the number of baskets jack made to the number of baskets jack missed
Answer:
The Second, Fourth, and Fifth points on the graph
Finn, Jeff, Kevin
Step-by-step explanation:
hopefully this helped, if not HMU and I will get a better answer
Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5 Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry's solution is incorrect? Step 1 is wrong because the distributive property of equality was used incorrectly. Step 2 is wrong because the addition property of equality was used incorrectly. Step 3 is wrong because the subtraction property of equality was used incorrectly. Step 4 is wrong because the division property was used incorrectly.
Answer:
Step 3 is wrong because the subtraction property of equality was used incorrectly
Step-by-step explanation:
Henry showed all the steps he took to solve the equation.
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15
Step 2
3 x + 28 = 15
Step 3
3 x = 15
Step 4
x = 5
Verifying the steps
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct
Step 2
3 x + 28 = 15(Addition property of equality this is correct)
Step 3
3 x = 15 (Subtraction property of equality) This is incorrect
The correct form is
3x +28 - 28 = 15 - 28
3x = -13
Step 4
x = -13/3
x = - 4.3333333333
Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.
x = -4.3
Answer:
c
Step-by-step explanation:
What is the slope of the line that passes through the point (-8,-4) and (4,-4)
Answer:
(x1y1)= (-8,-4)
(x2y2)= (4,-4)
here
slope= (y2-y1)/ (x2-x1)
= 0/ 12
= 0
Step-by-step explanation:
0
A number increased by 5
Answer:
if number was represented by x it would be x+5
Step-by-step explanation:
PLEASE HELP WITH 19 AND 20, ONLY DESCRIBE THE TRANSFORMATIONS. I CAN GRAPH THEM. PLS HELP
I need the answers to Numbers 1,2,3 and 4 please!!
Can someone please help me