Answer:
-5
Step-by-step explanation:
-3 - 2 = -5
what is. - 3 7/8 × - 4 3/5 help please
Answer:
713/40 or as mixed fraction of 17 33/40 (see setps below)
Step-by-step explanation:
Simplify the following:
-(3 + 7/8) (-(4 + 3/5))
Hint: | Multiply all instances of -1 in -(3 + 7/8) (-(4 + 3/5)).
(-1)^2 = 1:
(4 + 3/5) (3 + 7/8)
Hint: | Put the fractions in 3 + 7/8 over a common denominator.
Put 3 + 7/8 over the common denominator 8. 3 + 7/8 = (8×3)/8 + 7/8:
(4 + 3/5) (8×3)/8 + 7/8
Hint: | Multiply 8 and 3 together.
8×3 = 24:
(4 + 3/5) (24/8 + 7/8)
Hint: | Add the fractions over a common denominator to a single fraction.
24/8 + 7/8 = (24 + 7)/8:
(4 + 3/5) (24 + 7)/8
Hint: | Evaluate 24 + 7 using long addition.
| 1 |
| 2 | 4
+ | | 7
| 3 | 1:
(4 + 3/5)×31/8
Hint: | Put the fractions in 4 + 3/5 over a common denominator.
Put 4 + 3/5 over the common denominator 5. 4 + 3/5 = (5×4)/5 + 3/5:
31/8 (5×4)/5 + 3/5
Hint: | Multiply 5 and 4 together.
5×4 = 20:
((20/5 + 3/5)×31)/8
Hint: | Add the fractions over a common denominator to a single fraction.
20/5 + 3/5 = (20 + 3)/5:
31/8 (20 + 3)/5
Hint: | Evaluate 20 + 3.
20 + 3 = 23:
23/5×31/8
Hint: | Express 23/5×31/8 as a single fraction.
23/5×31/8 = (23×31)/(5×8):
(23×31)/(5×8)
Hint: | Multiply 5 and 8 together.
5×8 = 40:
(23×31)/40
Hint: | Multiply 23 and 31 together.
| 3 | 1
× | 2 | 3
| 9 | 3
6 | 2 | 0
7 | 1 | 3:
Answer: 713/40
________________________________________
Convert to a mixed number:
713/40
Hint: | Use long division to get a quotient and remainder.
Divide 713 by 40:
4 | 0 | 7 | 1 | 3
Hint: | How many times does 40 go into 71?
40 goes into 71 at most one time:
| | | 1 | |
4 | 0 | 7 | 1 | 3 |
| - | 4 | 0 | |
| | 3 | 1 | 3 |
Hint: | How many times does 40 go into 313?
40 goes into 313 at most 7 times:
| | | 1 | 7 |
4 | 0 | 7 | 1 | 3 |
| - | 4 | 0 | |
| | 3 | 1 | 3 |
| - | 2 | 8 | 0 |
| | | 3 | 3 |
Hint: | Summarize the results.
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | 1 | 7 | (quotient)
4 | 0 | 7 | 1 | 3 |
| - | 4 | 0 | |
| | 3 | 1 | 3 |
| - | 2 | 8 | 0 |
| | | 3 | 3 | (remainder)
Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.
The quotient of 713/40 is 17 with remainder 33, so:
Answer: 17 33/40
Which of these is a factor in this expression- 7z^4-5+10(y^3+2). Choices- A- 7z^4-5, B- 10(y^3+2) C = -5+10(y^3+2) D= (y^3+2)
Answer:
D. ([tex]y^{3}[/tex] + 2)
Step-by-step explanation:
A factor of an expression can either be in the form of an algebraic expression, alphabet or number. In the question, the given expression can be written as;
7[tex]z^{4}[/tex] - 5 + 10[tex]y^{3}[/tex] + 20
Factorizing the expression gives;
7[tex]z^{4}[/tex] - 5 + 10([tex]y^{3}[/tex] + 2)
Therefore, it would be observed that the factor in the expression is;
([tex]y^{3}[/tex] + 2)
Can someone please help me with this question? Thanks.
Answer:
f(x) = 3 + 5x
Step-by-step explanation:
For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.
This means that f(0) = 3.
And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.
Hence, we will create the function equation:
f(x) = 3 + 5x
Cheers.
If x = 4 tan(θ), find sec(θ) in terms of x
Answer:
[tex] \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]
Step-by-step explanation:
[tex] \because \: x = 4 \tan \theta \\ \therefore\frac{x}{4} = \tan \theta....(1) \\ \\ \because \: { \sec}^{2} \theta = 1 + { \tan}^{2} \theta \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \tan}^{2} \theta } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \bigg( \frac{x}{4} \bigg)}^{2} } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \frac{x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm\sqrt{{ \frac{16 + x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]
The water level at the Dead Sea dropped from 390 meters below sea level in 1930 to 423 meters below sea level in 2010. By how much did the water level drop from 1930 to 2010?
Answer:
33ft below sea level
Step-by-step explanation:
423-390=33ft
Given the relation D={(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation D a function? (A)-3 (B)-6 (C) 8 (D) 6
Answer:
(B) -6
Step-by-step explanation:
If D is to be a functions, the value of x cannot repeat any of the other values listed first in the ordered pairs. Values of 6, 8, and -3 must be rejected. The only remaining answer choice is -6.
sketch and label the figures described. Use dashes for hidden parts.
Answer:
this means that the figures given to you , sketch and label the ones described and use dashes for hidden one
Step-by-step explanation:
A father earns a $2000 dividend from an oil investment and
distributes it equally amongst his children.
Answer:
To divide the money evenly, without him taking any, use the formula in which x is the amount of children.
2000/x
It's that simple!
2000 dollars divided by x children.
I'm sorry if I misunderstood.
Good luck mate! :)
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Simplify 4(x + 40) +2(x -3) plsss help
Answer:
6x + 154
Step-by-step explanation:
4(x + 40) +2(x -3) =
4x + 160 + 2x - 6 =
6x + 154
Answer:
2(3x + 77)
Step-by-step explanation:
4(x+40)+2(x-3)
4x+160+2x-6
6x+154
=2(3x+77)
Number between 17/4 and square root of 20
Answer: 4.485
Step-by-step explanation:
We need to find the number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex].
For this , we first simplify the above numbers.
[tex]\dfrac{17}{4}= 4.25[/tex] [divide 17 by 4]
[tex]\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}= 2(2.236)=4.472[/tex] [ [tex]\sqrt{5}=2.236[/tex] ]
Now, Midpoint of 4.25 and 4.472 = [tex]\dfrac{4.25+4.72}{2}=\dfrac{8.97}{2}=4.485[/tex]
Number between 4.25 and 4.472 =4.485
Or number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex] is 4.485.
460
Wrote this in word form and expanded form?
Answer:460 in word form: Four Hundred Sixty
460 in expanded form: 400+60
Write the mixed number as a decimal. 4 9/20
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.
Suppose you want to scale the copy back to its original size. What scale factor should you use?
Answer:
1/7.
Step-by-step explanation:
You use the inverse of 7 which is 1/7.
In order to back to its original size, we need to take a scale factor of 1/7.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
For example, 50 meters is very big so we cannot measure it but if we can convert it into 50 mm such that the scale ratio is maintained then it will be easy to draw.
If the rectangle is scaled by scale factor 7 it means it is plotted 7 times big such that a 7:1 scale factor maintain.
Now if we want to see the original rectangle then we need to take 7 times lower than that so a 1/7 scale factor is going to use.
Hence "In order to back to its original size, we need to take a scale factor of 1/7".
To learn more about scale factors,
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In the linear equation 3+2x=13, what is the second step in solving the equation for x?
joey collects 100 seashells. 45% of them are pink. how many shells are not pink. how many are pink .
Answer:
45 are pink 55 are not pink
Step-by-step explanation:
a) The number of pink seashells is A = 45
b) The number of seashells that are not pink = 55
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the total number of seashells be = 100
Let the percentage of the seashells that are pink = 45 %
If 45% of the 100 seashells are pink, then the remaining 55% must be not pink. We can find the number of pink shells by multiplying 100 by 45%:
Number of pink shells = 100 x 0.45 = 45
To find the number of shells that are not pink, we can subtract the number of pink shells from the total number of shells:
Number of shells not pink = 100 - 45 = 55
Hence , there are 55 seashells that are not pink and 45 seashells that are pink.
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Tyra bought 4.5 pounds of strawberries they cost $2.60 a pound how much did she spend
Answer:
11.70
Step-by-step explanation:
The compositions f(g(x)) and g(f(x)) of functions fand g are shown on the graphWhich statements describe the compositions? Check all that apply
Answer:
a,c,d,f had the same problem just now
Step-by-step explanation:
Answer:
The answers are A, C, D, E !
Step-by-step explanation:
Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.α = 0.1 for a two-tailed test.a. ±1.645b. ±2.052c. ±1.4805d. ±2.33
Answer:
The critical z value used to test a null hypothesis is ±1.645.
Step-by-step explanation:
We are given that the data has a normal distribution and the number of observations is greater than fifty.
And we have to find the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test.
Firstly, as we know that to find the critical z value we need only the level of significance to be known.
Here, the level of significance is given = [tex]\alpha[/tex] = 0.10
But for the two-tailed test, the level of significance to be considered is given by = [tex]\frac{\alpha }{2}[/tex] = [tex]\frac{0.10}{2}[/tex] = 0.05 or 5%.
Now, in the z table; we can see that the critical z value at a 5% level of significance (for the two-tailed test) is given as 1.645.
Hence, the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test is ±1.645.
According to the z-distribution, the critical value is given by:
a. ±1.645
The critical value for a two-tailed test with a significance level of [tex]\alpha[/tex] is |z| such that -z has a p-value of [tex]\frac{\alpha}{2}[/tex].
In this problem, [tex]\alpha = 0.1[/tex], then [tex]\frac{\alpha}{2} = 0.05[/tex].
Looking at the z-table, z has a p-value of 0.05 for z = -1.645, hence the critical value is ±1.645A similar problem is given at https://brainly.com/question/18306091
The product of 21 and 5291 equals 111,111
Find two other whole numbers that have the
product 111,111.
b. Find two whole numbers that have the product
222,222.
Find two whole numbers that have the product
555,555.
Answer:
a
Step-by-step explanation:
Which polynomials can be factored using the binomial theorem? Check all that apply. x2 + 20x + 400 x2 + 40x + 400 x3 – 3x2 + 9x – 27 x3 – 9x2 – 27x – 27 256x4 – 64x3 + 16x2 – 4x + 1 256x4 – 256x3 + 96x2 – 16x + 1
Answer:
(x2 - 5x + 7) • (x - 4)
Step-by-step explanation:
Answer:
SECOND AND LAST ONE
x2 + 40x + 400
256x4 – 256x3 + 96x2 – 16x + 1
Step-by-step explanation:
my account isnt working can you please look at it s
Answer:
What account are you talking about?
Step-by-step explanation:
James wrote the number 8,980,000 in
scientific notation. Which number did he
write?
A 8.98 x 10-6
C 89.8 x 105
B 8.98 x 10-5
D 8.98 x 106
To get 8.98, the decimal point is moved 6 places to the left. This means the exponent is positive 6
The answer is D. 8.98 x 10^6
Answer: the answer is d
Step-by-step explanation:
is angle 1 in the diagram of an angle of elevation or an angle of depression?
Answer:
Angle one is a angle of depression
Step-by-step explanation:
If -7(y-3)= -14. What is the value of x?
Answer:
none
Step-by-step explanation:
no x because (y-3)=14 so the x wouldnt repeat
Answer:
y = 5
Step-by-step explanation:
-7(y-3)= -14
Divide each side by -7
-7/-7(y-3)= -14/-7
y-3 = 2
Add 3 to each side
y-3+3 = 2+3
y = 5
A parallelogram has an area of 28 square feet and a height of 4 feet. What is its base?
Answer:
7
Step-by-step explanation:
The area for a parallelogram is given by the following formula:
[tex]A=bh[/tex]
Where b is the base and h is the height.
We already know the area is 28 and the height is 4. So, substitute:
[tex]28=4b[/tex]
Divide both sides by 4:
[tex]b=7[/tex]
So, the base length is 7.
Our answer is 7 :)
Hey there! I'm happy to help!
The area of a parallelogram is just the base multiplied by the height. If the area is 28 square feet, we will divide it by our height to find the base.
28/4=7
Therefore, our base is 7 feet.
Have a wonderful day! :D
1. A recent study revealed that 45% of business travelers plan their own business trips. The study is to be replicated with a sample of 12 frequent business travels. a. What is the probability exactly 5 travelers plan their own trips
Answer:
The probability is [tex]P(X = 5) = 0.222[/tex]
Step-by-step explanation:
From the question we are told that
The proportion of business travelers that plan their own business trip is [tex]p = 0.45[/tex]
The sample size is n = 12
The random number considered is x = 5
Generally the proportion of business travelers that do not plan their own business trip is mathematically evaluated as
[tex]q = 1- p[/tex]
=> [tex]q = 1-0.45[/tex]
=> [tex]q = 0.55[/tex]
This can study can be said to follow binomial distribution as there is only two outcomes
So the probability exactly 5 travelers plan their own trips is mathematically represented as
[tex]P(X = 5) = ^{12} C_5 * p^5 * q^{12- 5 }[/tex]
Generally using a combination calculator
[tex]^{12} C_5 = 792[/tex]
So
[tex]P(X = 5) = 792 * (0.45)^5 * (0.45)^{12- 5 }[/tex]
[tex]P(X = 5) = 0.222[/tex]
Xavier is building a triangular fence the length of the second side will be 1 foot longer than the length of the first side the length of the third side will be 1 foot longer than the length of the second side the total perimeter of the triangle will be 63 feet what will the length of the third side B
Answer:
22
Step-by-step explanation:
The diagonals of a parallelogram are congruent what is the parellelogram
Answer:
A parallelogram is a shape with 4 equal sides like a square or a rectangle. I hope this helped!
Solve 12x + 4y = 20 for y.
A. y=-3x+ 20
B. y = -12x+ 20
C. y= 12x+ 5
D. y=-3x+ 5
Answer:
D. y= -3x+ 5
Step-by-step explanation:
[tex]12x + 4y = 20[/tex]
Move 12x to the right and change its sign
[tex]4y =20-12x[/tex]
Divide through by 4
[tex]\frac{4y}{4} = \frac{20}{4} -\frac{12x}{4} \\\\Simplify\\y = 5-3x\\y =-3x+5[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = - 3x + 5}}}}}[/tex]
Option D is the correct option.
Step-by-step explanation:
[tex] \sf{12x + 4y = 20}[/tex]
Move 12x to right hand side and change it's sign
⇒[tex] \sf{4y = - 12x + 20}[/tex]
Divide both sides of the equation by 4
⇒[tex] \sf{ \frac{4y}{y} = \frac{ - 12x + 20}{4} }[/tex]
⇒[tex] \sf{y = \frac{ - 12x}{4} + \frac{20}{4} }[/tex]
Divide -12x by 4 . Also divide 20 by 4
⇒[tex] \sf{y = - 3x + 5}[/tex]
Hope I helped!
Best regards!! :D
find the inverse
f(x)=3x-2
Answer:
Step-by-step explanation:
hello friend
the answer is [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]
To find the inverse, interchange the variables and solve for y
[tex]f^{-1}[/tex](x) = [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]
Hope this helps
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