Answers
5
Explanation:
The easiest way is to write this in the form of an exponent and then solve the exponent.
log base b of x=y is equivalent to b^y=x
For the given, this will be:
2^3 = 3x - 7
8 = 3x - 7
3x = 8+7
3x = 15
x = 5
Hope this helps :)
Related Questions
Simplify -|-5 + 2|.
I'm not good with Math, can someone please help me how to Simplify, I have no clue to solving these questions that ask me to simplify, On my Online Schooling I wish to get better. Thanks for the time :)
Answers
The answer will be "-5+2".
Reason:
I These lines turn negative numbers into positive:
Therefore the answer will be -5+2 (since how the first - sign was outside of the I).
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Find the perimeter of the figure. Round your answer to the nearest tenth.
a) 41 Units b) 34.2 Units c) 23 Units d) 11.2 Units
Answers
HELP please :)
A patient requires an IV of 0.9% saline solution, also known as normal saline solution. How much distilled water, to the nearest milliliter, must be added to 100 milliliters of a 6 % saline solution to produce normal saline?,
Answers
2/(100+x)=9/(1000)
2000=900+9x
1100=9x
122.22=x
x= 122
The answer is 122 milliliters of distilled water must be added
Divide by splitting up the numerator. 21x^3y^4-7x^2y^3+14x^2y^2-xy over 7x^2y^2
Answers
[tex]\dfrac{21x^3y^4}{7x^2y^2} - \dfrac{7x^2y^3}{7x^2y^2} - \dfrac{14x^2y^2}{7x^2y^2} - \dfrac{xy}{7x^2y^2}[/tex]
[tex]3xy^2 - y - 2 - \dfrac{1}{7xy} [/tex]
PLEASE HELP ASSSAAAAPPPP
Answers
[tex]f(x) = 5^x \\ f(2) = 5^2 = 25[/tex]
Can someone help me with this word problem?
Answers
for part B the angle of depression can be found using the trigonometric function of tangent.
tan x = 40/130
tan^-1 (tan x) = tan^-1 (40/30)
x = 17 degrees
I hope i am right
can someone help me? im not sure if my answers are right
Answers
What is the measure of angle 1?
Answers
80o + 60o = <1
140 = <1 <<<<<<< ==== answer.
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles.
What type of trianglr is created by the three cities?
A. An acute triangle, beacuse 22^2+54^2>51^2
B. An acute triangle, beacuse 22^2+51^2>54^2
C. An obtuse triangle, beacuse 22^2+54^2>51^2
D. An obtuse triangle, beacuse 22^2+51^2>54^2,
Answers
The answer is B. It is an acute triangle because of 22^2 + 51^2 > 54^2. To identify the type of triangle referred to the problem, we use the Pythagorean Theorem which involves squaring the lengths of all sides of the triangle. If the hypotenuse’s square is less than the two smallest sides' squares added together, than it is an acute triangle. However, if the hypotenuse’s square is larger, then it is an obtuse triangle.
54 is the hypotenuse since it is the longest side.
Following the Pythagorean Theorem, a^2 + b^2 = c^2:
54^2=2916
51^2=2601
22^2=484
It becomes 2601+484 = 2916.
When the two shorter sides are added, the sum is greater than the square of the hypotenuse which is 2916. Thus, the formed triangle is acute.
Answer:
B
Step-by-step explanation:
How to solve this???
Answers
Use the quadratic formula to solve x^2+8x+9=0
What are the solutions to the equation?
Round irrational solutions to the nearest tenth.
x=−1 and x=−8
x = 1 and x=−9
x=−6.6 and x=−1.4
x=−1.2 and x=−6.8
Please explain the answer!
Answers
Solve for x over the real numbers:
x^2 + 8 x + 9 = 0
x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2
sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2
(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)
(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:
Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________
Solve for x:
x^2 + 8 x + 9 = 0
Subtract 9 from both sides:
x^2 + 8 x = -9
Add 16 to both sides:
x^2 + 8 x + 16 = 7
Write the left hand side as a square:
(x + 4)^2 = 7
Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)
Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)
Subtract 4 from both sides:
Answer: x = sqrt(7) - 4 or x = -4 - sqrt(7)
When constructing a regular hexagon inscribed in a circle, what is the measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle?
Answers
Answer:
Measure of angle is 60°
Step-by-step explanation:
Given when constructing a regular hexagon inscribed in a circle, we have to measure an angle formed by any two adjacent vertices of the hexagon and the center of the circle.
we have to find the measure of central angle of hexagon
Total measure of angle at centre is 360°
As polygon is given regular hexagon therefore central angle divides into six equal angles.
Hence, measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle is
[tex]\frac{\text{Total angle at centre}}{\text{number of sides}}=\frac{360}{6}=60^{\circ}[/tex]
Carlos ran 3/8 of the race course. Lori ran 3/6 of the same race. Who ran further? Explain.
Answers
Kite ABCD has a longer diagonal AC with a length of 14 in. and a shorter diagonal BD with a length of 8 in. The diagonals intersect at point E. What is the length of BE?
4 in
7 in
8 in
14 in
Answers
The longer diagonal is an axis of symmetry of the Kite.
So E is the middle of BD and BE=8/2=4
Answer A: 4in.
In a pond, lotus flower multiply its self after every 4 days. One lotus multiplies into two after four days, into 4 after 8 days, into 8 after 16 days and so on. If you see one lotus flower in a pond today, how many flowers will be there in the pond after 32 days.
Answers
# of flower: 1, 2, 4, 8, 16
# of days: 4, 8, 16, 32
You are doubling the number of flowers to find the number of days. Or half the number of days is the number of flowers. So, in 32 days there are 16 flowers.
What is the slope of the line that passes through (3, -4) and (-2, 5). A)-5/9 B)-9/5 C)9/5 D)5/9
Answers
Call (3,-4) one point
Call (-2,5) the second point.
m = (5- -4) / (-2 - 3)
m = 9/-5 = - 9 / 5
B<<<< answer
describe the graph of y={1/(2x-10)}-3 compared to the graph of y=1/x
Answers
[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}[/tex]
[tex]\bf ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]
with that template in mind, let's check these two
[tex]\bf \stackrel{parent}{y=\cfrac{1}{x}}\qquad \qquad\qquad \qquad \stackrel{transformed}{y=\cfrac{1}{\stackrel{B}{2}x\stackrel{C}{-10}}\stackrel{D}{-3}}\\\\ -------------------------------\\\\ B=2\qquad \textit{shrinks horizontally by }\frac{1}{2} \\\\\\ C=-10\qquad \cfrac{C}{B}=\cfrac{-10}{2}\implies -5\qquad \textit{horizontally right-shifted by }5 \\\\\\ D=-3\qquad \textit{vertically down-shifted by }3[/tex]
(12 + 5) + 32 × (10 − 5) =
Answers
177 hope this helps
[tex]17 + 32 \times 5 = [/tex]
[tex]17 + 160 = [/tex]
[tex]177[/tex]
So the answer is 177.
You are finding the product of two square roots. Each radicand is the same variable raised to an odd power. Explain why you would want to multiply the radicands together first and then simplify the product.
Answers
Then the square root (even root/radicand) can be taken eliminating the radicand.
Here's an example to show you what I mean, so you can put it in your own words if you want.
[tex] \sqrt{ x^{3} } * \sqrt{ x^{7} } = \sqrt{ x^{10} } = x^{5} [/tex]
Please help does anyone know the answer Giving 20pts I need ASAP
Answers
That is because x, 67, and 52 make a straight line, hence, they will equal to 180.
So if you subtract the sum of 67 and 52 from 180 you'll get the value of x.
A coach bought some shirts and 5 pairs of shorts. each shirt cost $12 and each pair of shorts cost $10. let t represent the number of shirts. write an expression that can be used to find the total cost of the shirts and shorts. answer
Answers
T=total cost (shirts + shorts)
12t+5(10)=T
12t+50=T
Answer: 12t + 50=T
t=number of shirts
T=total cost.
What’s the correct answer
Answers
[tex]total = 11 + 3x[/tex]
For 10 weeks:
[tex]14 + 17 + 20 + 23 + 26 + 29 + 32 + 35 + 38 + 41 = 275[/tex]
Total:
Andrew will have earned $275 after 10 weeks
A railroad crew can lay 7 miles of track each day. they need to lay 189 miles of track. 17 day how many miles. How many day to lay all the track
Answers
Given that a crew can lay 7 miles of railroad track a day, it would take them a total of 27 days to lay 189 miles of railroad track.
Explanation:The subject of this question is the calculation of the number of days it would take for a railroad crew to lay a specified number of miles of track. Given that the crew can lay 7 miles of track each day, and they need to lay a total of 189 miles of track.
To determine the total number of days required, we would divide the total miles by the miles the crew can lay each day.
So, 189 miles ÷ 7 miles/day = 27 days. Therefore, it would take the railroad crew a total of 27 days to lay all the track.
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What is the solution to the equation 5x = 40?
7
8
45
200
Answers
40 divided by 5 = 8.
To check we can do 5 x 8 = 40.
X = 8
5x/5=40/5
next, simply dived 40 by 5 which is 8, x=8
helpppppppppppppppppppppppppppppppppppppppppppp
Answers
they want 20 characters n stuff but if you want me to show work or whatever i can
----------------
Multiply each side by 4
4 * x/4 ≥ -8 * 4
x ≥ -32
The equation x2+y2−4x+2y=b describes a circle. Complete the square to find the center of the circle. The center of the circle is ( , ) The radius of the circle is 7 units. What is the value of b in the equation? b=
Answers
divide each coefficient by 2 and square to determine what to add.
(-4/2)^2 = 4 needs to be added to complete the square for x.
(2/2)^2 = 1 needs to be added to complete the square for y.
add to both sides of the equal sign to keep the equation balanced.
x^2 - 4x + 4 + y^2 + 2y + 1 = b + 4 + 1
factor
(x - 2)^2 + (y + 1)^2 = b + 5
The general equation for a circle is:
(x - h)^2 + (y - k)^2 = r^2
with center (h,k) and radius r
compare this to the equation. you see that the center is: (2, -1)
we can write
r^2 = b + 5
given that r = 7
49 = b + 5
49 - 5 = b
44 = b
The mass of Venus is
4.87 x 10^24 kilograms, and the mass of Jupiter is
1,898 x 10^24 kilograms.
The mass of Jupiter is about _____ times the mass of Venus.
Answers
Answer:
The mass of Jupiter is about 389.7331 times the mass of Venus.
Step-by-step explanation:
The question is asking for how much the two masses vary from one another. Since the mass of Jupiter is greater than that of Venus, what value is to be multiplied by the mass of Venus that would give the mass of Jupiter?
Thus, to determine this, we divide the mass of Jupiter by the mass of Venus;
= [tex]\frac{1898*10^{24} }{4.87*10^{24} }[/tex]
= [tex]\frac{1898}{4.87}[/tex]
= 389.7331
Therefore, the mass of Jupiter is about 389.7331 times the mass of Venus.
At the snack bar, a hot dog costs $1.50 and a slice of pizza costs $2. What percent of the cost of a slice of pizza is a cost of a hot dog? Which equation can be written to represent this scenario?
A. 1.5p=2
B. 1.5=2p
C. 2(1.5)=p
D. 2/1.5=p
How would you determine this answer?
Answers
There are several answers for this
A and D
A store carries two different sizes of a certain brand of potato chips. bag 1 contains 8 ounces and costs $3.49. bag 2 contains 12 ounces, and costs $4.59. which bag has the lowest price per volume
Answers
P = (cost) / (volume of the bag)
For bag 1:
P1 = (cost) / (volume of the bag)
P1 = (3.49) / (8) = 0.43625 $
For bag 2:
P2 = (4.59) / (12) = 0.3825 $
We know that
P1> P2
Answer:
bag 2 has the lowest price per volume 0.3825 $
Bag 2, with a price of $0.3825 per ounce, has a lower price per volume compared to Bag 1, which has a price of $0.43625 per ounce.
To determine which bag of potato chips has the lowest price per volume, we need to calculate the price per ounce for each bag.
For Bag 1, it contains 8 ounces and costs $3.49, so the price per ounce is $3.49 / 8 ounces = $0.43625 per ounce.For Bag 2, it contains 12 ounces and costs $4.59, so the price per ounce is $4.59 / 12 ounces = $0.3825 per ounce.Comparing these values, we see that Bag 2 has the lower price per ounce at $0.3825 per ounce, making it the more economical choice per unit of volume.
When the sum of 7 and three times a positive number is subtracted from the square of the number, 0 results. find the number?
Answers
x^2 - (7 + 2x) = 0
x^2 - 2x - 7 = 0
The required number is 10.
Given that,
When the sum of 7 and three times a positive number is subtracted from the square of the number, 0 results. That number is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Let the number be x,
The sum of 7 and three times a positive number is subtracted from the square of the number 0.
x²-x(3 + 7) = 0
x² = x(10)
x = 10
Thus, the required number is 10.
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