Answers
Answer:
Step-by-step explanation:
1)First convert mixed fraction to improper fraction and them prime factorize
[tex]6\frac{1}{4} = \frac{25}{4}\\[/tex]
[tex]\sqrt{\frac{25}{4}}= \sqrt{\frac{5*5}{2*2}}= \frac{5}{2} = 2 \frac{1}{2} \\\\[/tex]
2)
[tex](2 \frac{1}{2}- 1 \frac{1}{2})*1 \frac{1}{7}=( \frac{5}{2}- \frac{3}{2})* \frac{8}{7}\\\\\\= \frac{2}{2}* \frac{8}{7}\\\\=1* \frac{8}{7}= \frac{8}{7}\\\\\\=1 \frac{1}{7}[/tex]
3) 0.00706 = 7.06 * [tex]10^{-3}[/tex]
4) 144 = 12 * 12
12 = 6*2
6 = 2*3
Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2
= 2⁴ * 3²
5) To find LCM, prime factorize 96 & 144
96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3
144 = 2⁴ * 3²
LCM = 2⁵ * 3² = 32 * 9 = 288
6) HCF
105 = 7 * 5 * 3
135 = 5 * 3* 3 * 3
180 = 5 * 3 * 3 * 2 * 2
HCF = 5 * 3 = 15
7) 24 = 3 * 2 * 2 * 2 = 3 * 2³
36 = 3 * 3 * 2 * 2 = 3² * 2²
40 = 5 * 2 * 2 * 2 = 5 * 2³
LCM = 5 * 2³ * 3² = 5 * 8 * 9 = 360
HCF = 2² = 4
Difference = 360 - 4 = 356
8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all
1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15
Ans: 15
9) 36₇ = 102₅
10) 6.9163 = 6.916
I knew only this much
hope it's helpful
:)
Related Questions
If a 15% discount is applied to a 15,000,000 car, what will its price be.
Answers
Answer:
$12,750,000
Step-by-step explanation:
15,000,000 x 0.15 = 2,250,000
15,000,000 - 2,250,000 = 12,750,000
Answer:
12750000Step-by-step explanation:
[tex]15\% \: discount \:on \: 15,000,000\\\\= \frac{15}{100} \times 15,000,000\\\\\\= \frac{225000000}{100}\\ \\= 2250000\\\\15 000 000 - 225 0000= 12750000[/tex]
( 2x - 9) x ( x + 5 )
Answers
[tex]2x \times x + 2x \times 5 - 9 \times x - 9 \times 5[/tex]
[tex] {2x }^{2} + 10x - 9x - 45 [/tex]
[tex] {2x}^{2} + x - 45 [/tex]
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x=14}[/tex]
Reorder the terms:
[tex]-9 + 2x = 5 + x[/tex]
Solving
[tex]-9 + 2x = 5 + x[/tex]
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
[tex]-9 + 2x + -1x = 5 + x + -1x[/tex]
Combine like terms: [tex]2x + -1x = 1x[/tex]
[tex]-9 + 1x = 5 + x + -1x[/tex]
Combine like terms: [tex]x + -1x = 0[/tex]
[tex]-9 + 1x = 5 + 0\\-9 + 1x = 5[/tex]
Add '9' to each side of the equation.
[tex]-9 + 9 + 1x = 5 + 9[/tex]
Combine like terms: [tex]-9 + 9 = 0[/tex]
[tex]0 + 1x = 5 + 9\\1x = 5 + 9[/tex]
Combine like terms: [tex]5 + 9 = 14[/tex]
[tex]1x = 14[/tex]
Divide each side by '[tex]1[/tex]'.
[tex]x = 14[/tex]
Simplifying
[tex]x = 14[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
El siguiente diagrama A, B, C, D, E, F denotan islas, y las líneas de unión son puentes. El hombre empieza en A y camina de isla en isla. El hombre no puede cruzar el mismo puente dos veces. Hallar el número de maneras que puede hacer su recorrido antes de almorzar.
A-B-C-D
E-F
A esta conectado a B, B a C y C a D. B está conectado a E, C esta conectado a F y hay una linea que conecta E y C
Answers
Answer:
hey good
Step-by-step explanation:
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)
Answers
The vertical distance through which the car rises is 16.7 m
What is right triangle?"It is a triangle whose one of the angle is 90°."
What is sine of angle?In right triangle, for angle 'x',
sin(x) = (opposite side of angle x)/hypotenuse
For given example,
Consider the following figure for given situation.
A car travels 120 m along AC.
ΔABC is right triangle with hypotenuse AC.
∠C = 8°
Consider sine of angle C,
[tex]\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m[/tex]
Therefore, the vertical distance through which the car rises is 16.7 m
Learn more the sine angle here:
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A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet
Answers
Answer:
w>10
length = 40
Step-by-step explanation:
Let
Width=w
Length=4w
Perimeter is less than 100 inches
Perimeter of a rectangle= 2( Length + width)
100 < 2(4w+w)
100 < 8w+2w
100 < 10w
w > 10
Length =4w
=4 × 10
=40 inches
Answer:
5/2l <100
Step-by-step explanation:
PLATO
40 POINTS!! AND BRAINLIEST!! The equation of the line is Y=2.x- 1.8. Based on the graph which of the following are true?
(select all that apply)
A. If tony stays for 30 minutes in the record store it is likely her will spend $70
B. Each additional minute tony spends in the store is associated with an additional cost of $2.40
C. The correlation coefficient for the line of best fits 2.4
D. The line of best fit will have a positive correlation coefficient.
Answers
Answer:
The correct statment is B.
Step-by-step explanation:
A. is not correct: y = 2.4(30) - 1.8 does not equal 70...
B. Is correct because the slope is 2.4 From the equation
C. is not correct because the points have no 2.4 (maybe 2.2)? difference.
D. is not correct. the correlation isn't positive.
What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1). –2 Negative one-half One-half 2 Mark this and return
Answers
Answer:
-2
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(-1 - 1) / (1 - 0) = -2 / 1 = -2
y = -2x + b
plug in an (x, y) value to find b
1 = -2(0) + b
1 = -2 + b
b = 3
y = -2x + 3
rate of change is -2
Answer:
-2
Step-by-step explanation:
Find the value of x in each case:
Answers
Answer:
x = 36
Step-by-step explanation:
To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.
i. Determination of y
2x + y = 180 (angle on a straight line)
Rearrange
y = 180 – 2x
ii. Determination of z.
z + 4x = 180 (angle on a straight line)
Rearrange
z = 180 – 4x
iii. Determination of x
x + y + z = 180 (sum of angles in a triangle)
But:
y = 180 – 2x
z = 180 – 4x
Therefore,
x + y + z = 180
x + 180 – 2x + 180 – 4x = 180
Collect like terms
x – 2x – 4x = 180 – 180 –180
– 5x = – 180
Divide both side by – 5
x = – 180 / – 5
x = 36
Therefore, the value of x is 36.
Matilda has 16 3/4 hours to finish 3 consulting projects. How much time may she spend on each project, if she plans to spend the same amount of time each?
A. 5 6/7
B. 5 3/7
C. 5 9/11
D. 5 7/12
Answers
Answer: D
Step-by-step explanation:
To find how much time she need on each project divide the time by 3 because there are 3 projects and to get to 1 project you will need to divide by 3.
16 3/4 = 67/4
[tex]\frac{67}{4}[/tex] ÷ [tex]\frac{3}{1}[/tex] = [tex]\frac{67}{12}[/tex] = 5 7/12
Answer:
Step-by-step explanation:
For which of the following compound inequalities is there no solution?
A. 3m - 12 > 30 and -6m >= 24
B. -6m >= 12 and m + 5 -18
C. -5m < 20 and 6m > -18
D. -4m - 10 <= -22 and 6m - 8 >= 22
>= is greater than or equal to
<= is less than or equal to
Answers
Answer:
A
Step-by-step explanation:
[tex]3m - 12 > 30 \text{ and } -6m\geq 24[/tex]
[tex]\boxed{3m - 12 > 30 \wedge -6m\geq 24}[/tex]
[tex]m>14 \wedge m\leq -4[/tex]
There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no [tex]m[/tex] that satisfy the compound inequality.
Note: the signal change because we divided by negative number.
Answer:
3m - 12 > 30 and -6m >= 24
Step-by-step explanation:
A. 3m - 12 > 30 and -6m >= 24
3m > 42 and m < = -4
m > 14 and m < = -4
This has no solution
B. -6m >= 12 and m + 5 -18
cannot solve since missing inequality
C. -5m < 20 and 6m > -18
m > -4 and m > -3
solution m > -3
D. -4m - 10 <= -22 and 6m - 8 >= 22
-4m < = -12 and 6m > = 30
m > = 3 and m > =5
m > = 5
Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper's account balance after seven years?
Answers
Answer:
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Step-by-step explanation:
first see te interest :
A=prt (p is the deposited amount, r is the rate , t is the time)
A=734.62 *(2.6/100)* 7
A=133.70084
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Answer:
$868.32
Step-by-step explanation:
First you need to multiply 734.62 by 2.6%.
734.62 x 0.026 = 19.1
Then we need to multiply that by 7 (because 7 years).
19.1 x 7 = 133.7
Then add that to the initial deposit.
734.62 + 133.7 = 868.32
So after 7 years in a savings account your $734.62 would become $868.32.
Pens cost 15 pence each.
Rulers cost 20 pence each.
A school buys 150 pens and 90 rulers.
The total cost is reduced by 1/5
How much does the school pay?
Answers
Answer:
The amount the school pays is £32.40
Step-by-step explanation:
The cost of each pen = 15 pence
The cost of each ruler = 20 pence
The number of pens bought by the school = 150
The number of rulers bought by the school = 90
The cost reduction (discount) on the items bought = 1/5
Therefore, we have;
The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50
The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00
The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50
The discount = 1/5 total cost reduction = 1/5×£40.50 = $8.10
The amount the school pays = The total cost of the writing materials - The discount
The amount the school pays = £40.50 - $8.10 = £32.40
The amount the school pays = £32.40.
Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?
Answers
Answer:
7
Step-by-step explanation:
If we call the number of worms in a can x, we can write:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 7 worms
The following equation has how many solutions? \left|x-1\right|=7 ∣x−1∣=7
Answers
Answer:
Two solutions.
[tex]x = 8, -6[/tex]
Step-by-step explanation:
Given the equation:
[tex]\left|x-1\right|=7[/tex]
To find:
Number of solutions to the equation.
Solution:
First of all, let us learn about modulus function.
[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]
i.e. Modulus function changes to positive by adding a negative sign to the negative values.
It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.
It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.
Here, the function is:
[tex]|x-1|=7[/tex]
So, two values are possible for the modulus function:
[tex]\pm(x-1)=7[/tex]
Solving one by one:
[tex]x-1 = 7\\\Rightarrow x =8[/tex]
[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]
So, there are two solutions, [tex]x = 8, -6[/tex]
Number of minutes 1 2 3 4 5 6 7 8 9 10
Number of trainees 2 3 5 10 15 30 25 15 10 5
1.) use the data to draw a bar chart
Answers
Answer: please find the attached file for the graph.
Step-by-step explanation:
Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5
Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.
In bar chart, the bars will not touch each other.
Please find the attached file for the solution and figure
Which statement describes the graph of x = 4
Answers
Answer:
The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept
Step-by-step explanation:
So I think that the answer would be this, which means answer 1!! Hope this helps
A function of random variables used to estimate a parameter of a distribution is a/an _____.
A. unbiased estimator
B. statistic
C. predictor
D. sample value
Answers
Answer:
A. unbiased estimator.
Step-by-step explanation:
In Statistics, an estimator is a statistical value which is used to estimate a parameter. Parameters are the determinants of the probability distribution. Therefore, to determine a normal distribution we would use the parameters, mean and variance of the population.
A function of random variables used to estimate a parameter of a distribution is an unbiased estimator.
An unbiased estimator is one in which the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, an unbiased estimator captures the true population value of the parameter on average, this is because the mean of its sampling distribution is the truth.
Also, we know that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[/tex]
Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).
Generally, in statistical analysis, sample mean is an unbiased estimator of the population mean while the sample variance is an unbiased estimator of the population variance.
Answer: B statistic
Step-by-step explanation:
it just is trust me
Gavin is selling water bottles at a baseball game to help raise money for new uniforms.
Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of
the bottles for $1.25 each. How much profit does Gavin make?
Answers
The profit made by Gavin at the end of the game is $0.87 per bottle.
How to calculate profit?The profit can be calculated by taking the difference of selling price and the cost price.
Given that,
The number of bottles bought for $18.50 is 48 and sold for $1.25 each.
Then, the cost for one bottle is 18.50/48 = $0.38.
As per the question the profit made can be calculated as the difference of selling price and cost price as,
Profit = Selling price - Cost Price
= 1.25 - 0.38
= $0.87
Hence, the profit earned by Gavin is given as $0.87 for each bottle.
To know more about profit click on,
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20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answers
Answer:
The answer is A pls mark me brainly
A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration
Answers
Answer:
acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]
Step-by-step explanation:
The acceleration is the change in velocity per unit of time.
Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:
[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]
so in this case the acceleration becomes:
[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]
Which equation does NOT graph a line? A) y = 5 B) y = -3x3 C) y = 2/3 x D) y = −8x That 3 in b is an exponent btw
Answers
Answer:b
Step-by-step explanation:
Rocket science
find the roots of the following equation X + 1 whole square minus x square equal to 2
Answers
Answer:
x = 1/2
Step-by-step explanation:
Let's represent this in a mathematical way,
(x+1)^2 - x^2 = 2
Ok now we expand,
x^2 + 2x + 1 -x^2 = 2
rearrange,
x^2 - x^2 + 2x + 1 = 2
subtract,
2x + 1 = 2
subtract 1 from both sides,
2x + 1 - 1 = 2 - 1
2x = 1
Now divide 2 from both sides and get your answer,
x = 1/2
Answer:
[tex](x + 1) { }^{2} - x {}^{2} = 2[/tex]
[tex]x {}^{2} + 2x + 1 - x {}^{2} = 2[/tex]
[tex]2x + 1 = 2[/tex]
[tex]x = 1 \div 2[/tex]
rewrite (y x 6) x 5 using the associative property.
Answers
Answer:
y * ( 6*5)
Step-by-step explanation:
(y x 6) x 5
We can change the order of multiplication by changing where the parentheses are placed using the associative property
y * ( 6*5)
Answer:
The answer will be Y*(6*5)
Step-by-step explanation:
this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5
the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answers
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
Find the coordinates for the function,
1.) f(x)=-2(2.5)
2.) f(x)= 4(1.5)
Answers
Answer: 1: Slope 0 Y- Intercept -5
2: Slope 0 Y- Intercept 6
Step-by-step explanation:
how do you find the area of an open cylinder... what is the Formula?? please help
Answers
Answer:
Cylinder has a formula
π×r²×h
so of it is open
π×r²×h - π×r²
Answer:
pls give brainiest
Step-by-step explanation:
A=2πr×h(r+h)
A baby weighs 100 ounces. Find the baby's weight in pounds and ounces.
Answers
Work Shown:
1 pound = 16 ounces
100/16 = 6.25
100 ounces = 6.25 pounds
100 ounces = 6 pounds + 0.25 pounds
-------
1 pound = 16 ounces
0.25*1 pound = 0.25*16 ounces
0.25 pounds = 4 ounces
------
100 ounces = 6 pounds + 0.25 pounds
100 ounces = 6 pounds + 4 ounces
100 ounces = 6 pounds, 4 ounces
Please help me in finding the answer. Find x. (Congruent triangles)
Answers
Answer:
6.71cm
Step-by-step explanation:
a²+b²=c²
6²+3²=x²
sqrt(6²+3²)=6.71
Answer:
[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]
Step-by-step explanation:
The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.
a² + b² = c²
a and b are the lengths of the legs. c is the length of the hypotenuse.
6² + 3² = x²
Evaluate.
36 + 9 = x²
45 = x²
Take the square root of both sides.
√(45) = √(x²)
6.7082039325... = x
What is the sum of the three solutions (find the values for x, y, and z, then add the answers)? 2x + 3y − z = 5 x − 3y + 2z = −6 3x + y − 4z = −8 Show All Work !!
Answers
Answer:
x + y + z = 4
Step-by-step explanation:
Give equations are,
2x + 3y - z = 5 --------(1)
x - 3y + 2z = -6 --------(2)
3x + y - 4z = -8 --------(3)
By adding equations (1) and (2),
(2x + 3y - z) + (x - 3y + 2z) = 5 - 6
3x + z = -1 -------(4)
By multiplying equation (3) by 3, then by adding to equation (2)
(9x + 3y - 12z) + (x - 3y + 2z) = -24 - 6
10x - 10z = -30
x - z = -3 --------- (5)
By adding equation (4) and (5),
(3x + z) + (x - z) = -1 - 3
4x = -4
x = -1
From equation (5),
-1 - z = -3
z = 2
From equation (1),
2(-1) + 3y - 2 = 5
-2 + 3y - 2 = 5
3y = 5 + 4
y = 3
Therefore, x + y + z = -1 + 3 + 2
x + y + z = 4
Please answer this question now
Answers
Answer:
m∠C = 102°
Step-by-step explanation:
The above diagram is a cyclic quadrilateral
Step 1
First we find m∠B
The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
Step 2
Since we have found m∠B
We can proceed to find the Angle outside to circle
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
Step 3
Find m∠DAB
m∠DAB = m∠DA + m∠AB
m∠DAB = 84° + 120°
m∠DAB = 204°
Step 4
Find m∠C
It you look at the cyclic quadrilateral properly,
m∠DAB is Opposite m∠C
Hence
m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
Therefore ,m∠C = 102°
