Answers
Answer:
x = 3
Step-by-step explanation:
Given
[tex]2^{3x+1}[/tex] = [tex]2^{10}[/tex]
Since bases on both sides are equal, both 2, then equate the exponents
3x + 1 = 10 ( subtract 1 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
Related Questions
Answer all questions olve the following logarithmic ec 2 log10 x + log103 = log10 75
[tex]2 log_{10}x + log_{10}(3) = log_{10}(75) [/tex]
Answers
Step-by-step explanation:
We can rewrite the left-hand side as
[tex]2\log{x} + \log{3} = \log{3x^2}[/tex]
Here, we used the following properties of logarithms:
[tex]\log{x^a} = a\log{x}[/tex]
[tex]\log{ab} = \log{a} + \log{b}[/tex]
We can then write
[tex] \log{3x^2} = \log{75} \Rightarrow 3x^2 = 75[/tex]
or
[tex]x = 5[/tex]
I need to know the answer to the two question
Answers
Answer:
Question 1:
78 - 5 - 7
Question 2:
[tex] - \frac{1}{6} [/tex]
Britney bought 2 apples, 5 bananas, and 8 oranges at the grocery store.
Which is the ratio of apples to bananas written as a decimal?
Answers
Answer:
2 apples: 5 bananas: 8 oranges
Final answer: 1 apple: 2,5 bananas ( divide by 2 )
Answer:
D.0.8
Step-by-step explanation:
The ratio in mathematics indicates how many times one number contain another. To find this ratio you must make a division of both. numbers. For example the ratio X to Y is X/Y.
As there are 4 apples to 5 bananas, the ratio of apples to bananas is:
4/5=0.8
Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.
Answers
Step-by-step explanation:
hope it is helpful for you
Determine the equation of the perpendicular bisector of the segment with endpoints (–5, 3) and (5, 5).
Answers
Answer:
y = –5x + 4
Step-by-step explanation:
i had this question
what is
{Review} 8 x 9 = *
This is a required question
4. {Review} 12 x 4 = *
5. {Review} 7 x 8 = *
6. {Review} 6 x 3 = *
7. {Review} 9 x 5 = *
8. {Review} 6 x 8 = *
9. {Review} 27 ÷ 3 = *
10. {Review} 36 ÷ 6 = *
11. {Review} 132 ÷ 12 = *
12. {Review} 110 ÷ 11 = *
13. {Review} 28 ÷ 4 = *
14. {Review} 35 ÷ 7 = *
15. {Review} 937 + 593 = *
This is a required question
16. {Review} 9,004 - 3,526 = *
17. {Review} 36 x 7 = *
18. {Review} 48 ÷ 4 = *
19. {4.NBT.A.1} __________ x 10 = 300 *
20. {4.NBT.A.1} 3,000 x 10 = __________ *
21. {4.NBT.A.1} Which numbers make this equation true? __________ x 10 =__________ *
300,000 ; 30,000
30,000 ; 300,000
30,000 ; 30,000
22. {4.NBT.A.3} Round 5,389 to the nearest 10. *
23. {4.NBT.A.3} Round 124,389 to the nearest 1,000. *
24. {4.NBT.A.3} Round 2,748,091 to the nearest 100,000. *
25. {4.NBT.A.2} Fill in the blank. 73,458 is ______ 233,101 *
greater than
less than
equal to
26. {4.NBT.A.2} Fill in the blank. 57,388 is ______ 75,388 *
greater than
less than
equal to
27. {4.NBT.A.2} Fill in the blank. 1,432,748 is ______ 1,432,478 *
greater than
less than
equal to
28. {4.NBT.A.2} Write the number three hundred forty-two thousand, five hundred seven in expanded form. *
300,000 + 40,000 + 2,000 + 500 + 7
300,000 + 4,000 + 200+ 500 + 7
30,000 + 4,000 + 2,000 + 500 + 7
29. {4.NBT.A.2} Write the number three hundred forty-two thousand, five hundred seven in standard form. *
Answers
Answer:
8 x 9 = 72
4. 48
5. 56
6. 18
7. 45
8. 48
9. 9
10. 6
11. 11
12. 10
13. 7
14. 5
15. 1530
16. 5478
17. 252
18. 8
19. 30
20. 30,000
21. 30,000; 300,000
22. 5,390
23. 124,000
24. 2,700,000
25. less than
26. less than
27. greater than
28. 300,000 + 40,000 + 2,000 + 500 + 7
29. 342,507
Step-by-step explanation:
For the rounding numbers, if the hundredth or tenth place is not 5 or more the number does not change.
please help Dave drives to work. While driving the car over nine days, he observes his daily average speed and lists it in the table below. Day Average Speed (MPH) 1 45 2 62 3 44 4 70 5 59 6 66 7 54 8 63 9 67 The median speed at which Dave drove to work was __________. 63 miles per hour 59 miles per hour 62 miles per hour 58.89 miles per hour
Answers
The median speed at which Dave drove to work was 62 miles per hour.
To find the median speed at which Dave drove to work, we need to arrange the average speeds in ascending order and determine the middle value.
Sorting the average speeds in ascending order:
44, 45, 54, 59, 62, 63, 66, 67, 70
Since we have nine values, the median will be the middle value when the data is arranged in ascending order. In this case, the fifth value, which is 62, represents the median speed at which Dave drove to work.
Dave drove to work at a median speed of 62 miles per hour as a result.
for such more question on median
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Root 12 of Rood 12, see attached document
Answers
Explore
Drag the digits 0 to 9 to the boxes to create an original
rectangle and a scaled copy.
2
9
0
8
Answers
Answer:
I don’t understand this
Step-by-step explanation:
Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?
A. (Image 092552)
B. (Image 092607)
C. (Image 092618
D. (Image 092630)
Answers
Answer:
C. (Image 092618
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]
y1 is 2
y2 is -1
x1 is -3
x2 is 7
substitute:
[tex]slope = \frac{ - 1 - 2}{7 - ( - 3)} [/tex]
Solve the equation. 14 = a – 8
Answers
4
=
−
8
14
=
a
−
8
14=a−8
1
4
+
8
=
−
8
+
8
=
2
2
Answer:
[tex]14 = a - 8 \\ \\ - a = - 8 - 14 \\ \\ - a = - 22 \\ \\ a = 22[/tex]
In a group 40% like football ,70% like cricket and 30% like both games
Answers
Answer:
40%
Step-by-step explanation:
40+30+70=140
180-140= 40
Write 7 hundred as a decimal
Answers
Answer:
Step-by-step explanation:
7/100 as a decimal is 0.07.
Answer:
7.00
Step-by-step explanation:
To get a decimal, you move the decimal point to the left twice. If you move the decimal point two times to the left on 700, you would get 7.00.
Find the quotient.
154 divided by 14
Answers
Answer:
11
Step-by-step explanation:
[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]
154 divided by 14 equals 11.
To find the quotient of 154 divided by 14, we perform long division as follows:
11
14 | 154
First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.
Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.
We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.
Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.
Since there are no more digits to bring down, we can conclude that the quotient is 11.
Therefore, 154 divided by 14 equals 11.
Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.
To learn more about the division;
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Jimmy's dog weighed 60 pounds 4 months ago. Since then his weight has increased by 6% How much does Jimmy's dog weigh now
Answers
Answer: 3.6
Step-by-step explanation:
Answer:
63.6 pounds
Step-by-step explanation:
Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.
So 6% of 60 is
[tex]\frac{x}{60} *100=6[/tex]
x=360/100
x=3.6
So Jimmy's dog weighs 60+3.6=63.6 pounds
List the domain and range of the relation {(1, -9), (8,8), (0, -9), (8, 1), (1,9)}
Answers
Answer:
D={1, 8,0}
R={-9, 8,1,9}
Step-by-step explanation:
Here,
we, know, domain(D) =set of all first elements
thus, D={1,8,0}
again, range(R) =set of all second elements
thus R={-9,8,1,9}
2. A doctor treated 2000 patients over a period of time. If he worked for 5 hours a day and spent 15 minutes on each patient how many days did the doctor spend to treat all patients?
Answers
Answer:
The answer is 6000 days.
6. In the triangle ABC, AB = 7 cm, BC = 8 cm and ABC = 90°. Point P lies inside the triangle such that BP = PC = 5 cm. Find:
a) the perpendicular distance from P to BC
b) the length AP.
GUYS HELP!
Answers
Answer:
Step-by-step explanation:
Here is a circle, centre O, and the tangent to the circle at the point (-3, 4) on the circle. У P (-3, 4) X -5 O Oา Find an equation of the tangent at the point P. Give your answer in the form y = ax + b where a and b are both fractions with denominator 4.
Answers
Answer:
[tex]y=\frac{3}{4}x+\frac{25}{4}[/tex]
Step-by-step explanation:
when a line is tangent to a circle, it is perpendicular to the line from the center of the circle to the intersection of the line and the circle. so first we are going to find the slope of the line in the circle.
to find the slope use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{4-0}{-3-0}=\frac{4}{-3}=-\frac{4}{3}[/tex] so the slope is -4/3
the slope of the line perpendicular to this is the opposite reciprocal: 3/4 so now we have y= 3/4 x +b, to find b plug in the point (-3,4) to get 4=-9/4 +b, b=25/4 the equation is y=3/4 x +25/4
prove that 1³+2³+....n³=n²(n+1)²/4. principle of mathematics induction
Answers
[tex]\sf 1^3+2^3\dots n^3=\dfrac{n^2(n+1)^2}{2}[/tex]
[tex]\\ \sf\longmapsto 1^3+2^3+\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2[/tex]
Solution:-Let
[tex]\\ \sf\longmapsto P(n)=1^3+2^3\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2[/tex]
For n=1
[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{1(1+1)}{2}\right)^2[/tex]
[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{1(2)}{2}\right)^2[/tex]
[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{2}{2}\right)^2[/tex]
[tex]\\ \sf\longmapsto P(1)=(1)^2[/tex]
[tex]\\ \bf\longmapsto P(1)=1=1^3[/tex]
Let k be any positive integer.
[tex]\\ \sf\longmapsto P(k)= 1^3+2^3\dots k^3=\left(\dfrac{k(k+1)}{2}\right)^2[/tex]
We have to prove that p(k+1) is true.
consider
[tex]\sf 1^3+2^3\dots k^3+(k+1)^3[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{k(k+1)}{2}\right)^2+(k+1)^3[/tex]
[tex]\\ \sf\longmapsto \dfrac{k^2(k+1)^2}{4}+(k+1)^3[/tex]
[tex]\\ \sf\longmapsto \dfrac{k^2(k+1)^2+4(k+1)^3}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{k+1)^2\left\{k^2+4k+4\right\}}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(k+1)^2(k+2)^2}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(k+1)^2(k+1+1)^2}{4}[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{(k+1)(k+1+1)}{2}\right)^2[/tex]
[tex]\\ \sf\longmapsto (1^3+2^3+3^3\dots k^3)+(k+1)^3[/tex]
Thus P(k+1) is true whenever P(k) is true.
Hence by the Principal of mathematical induction statement P(n) is true for [tex]\bf n\epsilon N.[/tex]
Note:-
We can solve without simplifying the Question .I did it for clear steps and understanding .
Learn More:-
https://brainly.com/question/13253046?
https://brainly.com/question/13347635?
Answer:
Step-by-step explanation:
[tex]1^3=1=\dfrac{1^2*(1+1)^2}{4} =\dfrac{4}{4} =1\\\\\\\displaystyle \sum_{i=1}^{n+1}\ i^3=(\sum_{i=1}^{n}\ i^3) + (n+1)^3\\\\\\=\dfrac{n^2*(n+1)^2}{4} +(n+1)^3\\\\\\=(n+1)^2*(\frac{n^2}{4} +n+1)\\\\\\=(n+1)^2*\dfrac{n^2+4n+4}{4} \\\\\\=\dfrac{(n+1)^2*(n+2)^2}{4}[/tex]
Hence, find the values of y that satisfy the equation 2y-1)2 – 7(y – 1) + 4 = 0.
Answers
Answer:
y=3
Step-by-step explanation:
(2y-1)2-7(y-1)+4=0
4y-2-7y+7+4=0
9-3y=0
9=0+3y
9=3y
9/3=y
y=3
Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left. How many containers were consumed in the party?
Answers
Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract
[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).
Your answer is [tex]4\frac{4}{9}[/tex].
Where do you graph 0, -1 and -1, 0 on a the coordinate plane? Please help asap
Answers
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\vector(1,0){4}}\put(0,0){\vector(-1,0){4}}\put(0,0){\vector(0,-1){4}}\put(0,0){\vector(0,1){4}}\put(0,-1){\circle*{0.5}}\put(-1,0){\circle*{0.5}}\end{picture}[/tex]
View it from web .
jane bought two new skirts for school. one cost 15 less than twice the cost of the total cost for both skirts was 75, what was the cost of each skirt?
Answers
(25x3) + (10x3) is my question i dont know the answer
Answers
Answer:
75+30=105....................
Whats the answer for this question
Answers
Answer:
m+5
Step-by-step explanation:
4m+5-3m
1m+5
If a set contains 15 proper subsets then number of elements in that set
Answers
Answer
32,768
Step-by-step explanation:
The sum of 7/4 and pi i
Answers
Hi! I'm happy to help!
To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
This is how you write it.
If you want to solve it, you need to know what pi is. pi is 3.14159...
It goes on forever, but we cane round to the nearest ten thousandth.
From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4
Now, we solve our equation:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
[tex]\frac{7}{4}[/tex]+3.14159
1.75+3.14159
4.89159
This is what the answer to the expression is.
I hope this was helpful, keep learning! :D
In the coordinate plane, plot AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ given by the points A(−4, 5), B(−4, 8), C(2, −3), D(2, 0)
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The x-coordinate is the same in each pair of points, so the line segment will be a vertical line segment 3 units long.
add 8+5
think of a number path start at 8 add 2 to make 10
Answers
Answer:
- Each sum which is larger than 10 can be found by first making a 10. For example, to find 8 + 5, we can write. \begin{align} 8+5 &= 8 + (2+3) \\ &= (8+2) + 3 \\ &= 10 + 3 \\ &= 13
Step-by-step explanation:
Adding 9 to another single digit number can also be done by first making a 10. For example.
- Hope this helped ^^