Answer:
The value of x is [tex]x=\frac{\log(2)}{\log(6)}[/tex].
Step-by-step explanation:
Solve the equation as follows:
[tex]4\times 6^{x}-7=1[/tex]
[tex]4\times 6^{x}=7+1[/tex]
[tex]6^{x}=\frac{8}{4}[/tex]
[tex]6^{x}=2[/tex]
Take log on both sides.
[tex]\log(6^{x})=\log(2)[/tex]
[tex]x\log (6)=\log(2)[/tex]
[tex]x=\frac{\log(2)}{\log(6)}[/tex]
Thus, the value of x is [tex]x=\frac{\log(2)}{\log(6)}[/tex].
Calculate the following combinations
Answer:
[tex]_3 C_2 =\frac{3}{2}[/tex]
[tex]_3 C_3[/tex] Is undefinded.
Step-by-step explanation:
Given the equations.
[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]
[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]
Distribute the denominator.
[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]
[tex]_3C_2 = \frac{3}{(9-9)}[/tex]
Simplify the denominator.
[tex]_3 C_2 = \frac{3}{2}[/tex]
[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.
Answer:
part 1: 3 & 1
part 2: 6
Step-by-step explanation:
edge fam sticks together lol
Evaluate 3z when z=9
Answer:
27
Step-by-step explanation:
given value of Z=9
so, 3×9=27
What is the solution to the system of equations below?
2x-y= 10 and y=-
--3x+5
(6,2)
(6,-2)
(-6, -22)
(-6,8)
The perimeter of an isosceles triangle is 10 ¾ cm . If one of its equal side is 2 ¾ cm ,the third side IS, *
Answer:
4 cm
Step-by-step explanation:
Given is an isosceles triangle. Therefore it's two sides will have equal lengths.
Let the length remaining sides be x cm.
[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]
a recipe requires 3.5 teaspoons of sugar to make a tart which equation shows the number of teaspoons of sugar , y , needed to make x tarts?
Answer: x = 3.5y
Step-by-step explanation:
3.5 teaspoons of sugar (y) per tart (x) would look like this
You multiply 3.5 by y to equal x divided by 3.5
x = 3.5y
Which of the following are solutions to the inequality below? Select all that apply.
7j > 30
j = 2
j = 8
j = 1
j = 11
What is the sale price of an item that was originally $20 with a 20%
discount? *
Compare and contrast the Angle Angle Similanty Postulate, the Side Side Side Similarity Theorem and the Side Angle
Side Similanty Theorem
Write about the similantes and the differences that you observe.?
Answer:
The similarities are
1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria
2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria
3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;
AB/DC = AC/DE = BC/CE
The observed differences are
1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent
2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite
3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria
4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.
Step-by-step explanation:
The similarity postulates are;
The Angle Angle Similarity Postulate also known as AA
The Side Side Side Similarity Theorem also known as SSS
The Side Angle Side Similarity Theorem also known as SAS
If 4u-5v=23 and 2u+4v=-8, find the value of u+v
Answer:
-1
Step-by-step explanation:
4u-5v=23
-2(2u+4v=16) We multiply by -2 here to destroy u's.
4u-5v=23
-4u-8v=16 we addition both processes
-13v=39 so, v=-3
4u-5(-3)=23, 4u=8 so, u=2
u+v= -3+2= -1
Nearest hundredth
X2+2x+7=21
Step-by-step explanation:
subtract 21 from both sides
x2+2x+7-21=21-21
x2+2x+14=0
use quadratic equation
x=(-3+-(b^2-4ac)^1/2)/2a
in our equation a=1,b=2and c=14
(-2+-(14+56)^1/2)/2
x=-1+(60^1/2)/2
there is only one positive answer and it is 2.87
help me now asap please
Answer:
C
Step-by-step explanation:
Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.
Brooke: 1 hr 45 min
We know that there are 60 minutes in 1 hour, so we essentially have:
60 min and 45 min ⇒ 60 + 45 = 105 min
Lamont: 115 min
This is already in minutes, so we don't have to do anything to it.
We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:
- Since we know Brooke took 105 minutes, we can eliminate A and B.
- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race
- If Brooke took less time, that means she's faster.
Thus, the answer is C.
~ an aesthetics lover
Answer:
Time taken by Brooke = 1h 45min
= 60min + 45min
= 105min
Time taken by Lamont = 115min
Brooke finished in 105min, so she was faster.
Option 3 is correct.
Maureen worked 48 hours last week. Her hourly rate is $8.00. How much did she earn in overtime pay?
1 hour = $8.00
48 hours = $8 x 48
48 hours = $384
----------------------------------------
Answer: $384
----------------------------------------
I have worked the answer to a which is 301.6 but I’m not too sure how you work out b any help would be much appreciated!
Answer:
188.5 cm^2
Step-by-step explanation:
a) Your volume is correct.
b) The curved surface area of the cone is called the lateral area.
Its formula is:
LA = (pi)rs,
where pi is 3.14159...
r = radius of the base
s = slant height of the cone
Here, r = 6 cm, and s = 10 cm
LA = (3.14159)(6 cm)(10 cm)
LA = 188.5 cm^2
could someone please help with these three? I got a few minutes left and I'm clueless IM IN NEED OF HELP!!
Answer:
Student 1 has the correct answer
Student 2 started of OK but then divides the number of white marbles by the number of non-white marbles, which is incorrect.
Student 3 reports a probability larger than 1 which is impossible. Also the answer is not in percentages.
The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in front of you spent $40.50 on 15 gals of gas. If your truck needs 26 gals of gas how much will you spend
Answer:
$70.20
Step-by-step explanation:
We need to first find the cost per gallon of the gas.
The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:
40.50 / 15 = $2.70
You need to buy 26 gallons. The cost will be:
26 * 2.70 = $70.20
You will spend $70.20.
the slope of the line below is -2. which of the following is the point-slope form of the line? 4, -8
Answer:
D
Step-by-step explanation:
Point: (4,-8)
Slope: -2
y-y1=m(x-x1)
y+8=-2(x-4)
What is the vertex form of the parabola from daredevil dannys practice jump ?
Answer:
the vertex form of the parabola from daredevil dannys practice jump is: 47538Step-by-step explanation:
2+2+3+4+45+65+3=47538 jump in the vertex of the jump but then there's a other always 564*56*75+4=47538
The vertex form of Daredevil Danny’s practice jump is y=-32/100(x-25)2+32
But daredevil danny sucked I got a 100 here is the link to my whole worksheet (cant have a link so its tinyurl . com / Danny - Daredevil)
fyi the link is without spaces
What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100
Answer:
-2
Step-by-step explanation:
Please Help ASAP!
Select the situations that represent a function. (A,B,C,D)
Answer:
A and B both have an input that has multiple outputs so the answer is C and D.
simplify this expression
Answer:
option 4
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
Given
(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )
= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )
= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. How much was the error in his estimate? Error = (Approximate value) − (Exact value) -$175 -$25 $25 $175
Answer:
The error of his estimate was $25.
Step-by-step explanation:
The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:
[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]
The error of his estimate was $25.
Answer:
C
Step-by-step explanation:
i got itright
Answer pleaseeee ASAP
Answer:
93 square metres
Step-by-step explanation
The formula for surface area is 2ab+2ac+2bc, and with no lid one bc can be removed.
Suppose a=7 b=3 and c=3
2(7x3)+2(7x3)+(3x3)=93
This recipe makes 20 flapjacks. How much of each ingredient is needed to make 30 flapjacks by following this recipe? Recipe: Makes 20 flapjacks 140 g margarine 120 g sugar 100 ml syrup 240 g oats 50 g raisins
Answer: 210 grams of margarine, 180 grams of sugar, 150 millilitres of syrup, 360 grams of oats, 75 grams of raisins
Step-by-step explanation: 30 flapjacks is 1.5 more than 20 flapjacks.
140 * 1.5 = 210 grams
120 * 1.5 = 180 grams
100 * 1.5 = 150 millilitres
240 * 1.5 = 360 grams
50 * 1.5 = 75 grams
Use the quadratic formula to find both solutions to the quadratic equation given below
Answer:
C and D are correct: -1 and 0.5
Step-by-step explanation:
what is -14x-7 idk I have tried everything
______________________________
Hey!!
Solution,
-14x-7
take the common
Answer: -7(2x+1)
Hope it helps
Good luck on your assignment
__'________________________
Answer:
i think its -2
Step-by-step explanation:
distribute and find the x
Can someone show me how to get x for both
Answer:
So since the sum of both is 13 because it shows both of the lines connected as a length of lines.
So we add them (14+x)+(x+15) = 13
14+2x+15 = 19+2x = 13
-6=2x
x=
-3
Step-by-step explanation:
HELP ME FOR BRIANETEST
As indicated on the number line 1/3 is the same as 2/6 so we get
Answer: 2/6 + 5/6 = 7/6
What whole number does: 20/5represent?
Answer:
4
Step-by-step explanation:
20/5 = 4
Answer:
4
Step-by-step explanation:
cause 20/5 is 4 meaning it represents 4
Please help me with my question!!
Answer:
B
Step-by-step explanation:
When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.
6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!
My question is 3x + (2− 4x)
Answer:
3x+(2-4x)
= 2 (3x+4x)
=2 (7x)
=2/7x
=7x/2
=3.5
Step-by-step explanation:=3.5