Answer:
options 1 & 4
Step-by-step explanation:
The difference of 5 and 3:
5-3
One fourth of this difference:
(1/4) × (5-3)
Hope this helps
Sofia leans a 28-foot ladder against a wall so that it forms an angle of 67^ with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
23.43 feet
Step-by-step explain
by my accurate accusations
What is the value of x in the figure below? In this diagram, ABD similar to CAD.
Answer:
x = [tex]\frac{25}{4}[/tex] so the answer is B
Step-by-step explanation:
What is the exact value for the expression V52 - V13 + V117 ? Simplify if possible. (5 points)
O 413
O V13
O 21/39
O 839
PLS DON'T ANSWER IF YOU DON'T KNOW
Answer:
[tex]4\sqrt{13}[/tex]Step-by-step explanation:
[tex]\sqrt{52} -\sqrt{13} +\sqrt{117} =[/tex][tex]\sqrt{4*13} -\sqrt{13} +\sqrt{9*13} =[/tex][tex]2\sqrt{13}-\sqrt{13} +3\sqrt{13} =[/tex][tex]4\sqrt{13}[/tex]The exact value for the expression √52 – √13 + √117 given in the question above is 4√13
Surd operationa√b + c√b = (a + c)√b
With the above information in mind, we can simplify the express given in the question above.
Data obtained from the question √52 – √13 + √117Simplification =? How to simplify the expression√52 – √13 + √117
Recall
√52 = √(4 × 13) = 2√13
√117 = √(9 × 13) = 3√13
Thus
√52 – √13 + √117 = 2√13 – √13 + 3√13
√52 – √13 + √117 = (2 – 1 + 3)√13
√52 – √13 + √117 = 4√13
Learn more about surd:
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11. An astronaut travels 32 million miles to Mars, turns around and comes back the same way, ending up exactly where he started his trip. What is his displacement?
Answer:
0
Step-by-step explanation:
Since displacement is the distance between the journey starting point and the final point if they both are the same the difference becomes zero and hence the displacement.
Displacement = final point - initial point
(both are same)
= same - same
= 0
What the answer to this is ?
Answer:
a. median 1.5
Step-by-step explanation:
If you sort the numbers from least to greatest, the middle numbers are 1 and 2, so the median is the middle of those, 1.5. And the mean is 2.75, so it can't be the others.
A tray of cake samples contains a variety of flavors.
vanilla 25
strawberry 1
lemon 2
red velvet 3
chocolate 2
What is the probability that a randomly selected piece of cake will be red velvet?
Write your answer as a fraction or whole number.
Answer: 1/11
Step-by-step explanation:
The probability that the selected piece will be red velvet is equal to the amount of red velvet cake divided by the total amount of cake.
Therefore, it would be 3/(25+1+2+3+2)
= 3/33
= 1/11 when simplified
what is the slope of the line???
Answer:
slope: 2 as we see, with every increase in x, y increase twice the more.
Step-by-step explanation:
we can can see the y-intercept at 1.so equation: y = 2x + 1The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.
Recall :
Slope = Rise / Run
From the graph :
Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6
Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3
The slope of the graph can be expressed thus :
Slope = Rise / Run = 6 /3 = 2
Therefore, the slope of the line in the graph attached is 2
Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x = 1 x = negative 1 and x = 1 x = 0, x = negative 1, and x = 1.
The equation which shows the true solution to the given logarithmic equation is,
[tex]x=1[/tex]
What is power rule of logarithmic function?The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.
For example,
[tex]n\log_b(M)=\log_b(M)^n[/tex]
Given information-
The logarithmic equation given in the problem is,
[tex]3\log_2(2x)=3[/tex]
Using the power rule of the logarithmic function,
[tex]\log_2(2x)^3=3[/tex]
Using the exponent rule of the logarithmic function the above equation can be written as,
[tex](2x)^3=3[/tex]
Solve it further,
[tex]8x^3=3\\x^3=1\\x=1[/tex]
Hence, the equation which shows the true solution to the given logarithmic equation is,
[tex]x=1[/tex]
Learn more about the rules of logarithmic function here;
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Answer:
its B on edge
Step-by-step explanation:
What is the value of x?
2) Choose the best answer.
Find the volume of this terrarium. You may use a calculator to find the answer.
l = 5 m, w = 1 m, h = 3 m
A. 30 m2
B. 15 m3
C. 5 m2
D. 7.5 m3
E. 9 m3
p
Pelz I really really need help:(
Answer:
B. 15 m^3
Step-by-step explanation:
The volume of a rectangular prism is the product ...
V = lwh
For the given values of l, w, h, the volume is ...
V = (5 m)(1 m)(3 m) = 15 m^3
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
14
Step-by-step explanation:
8×7=56
4×?=?
?= 56÷4
?= 14
Answer:
Divide the numerator by the denominator.
Step-by-step explanation:
find the radius of a cylinder with a volume 686mm2 and a height of 14mm
Answer:
r = 3.95 mm (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{volume of a cylinder} = \pi r^2h[/tex]
(where r = radius and h = height)
Given, volume = 686 mm² and height = 14 mm:
[tex]686=\pi r^2\times14[/tex]
[tex]\implies\pi r^2=686 \div14=49[/tex]
[tex]\implies r^2=49 \div \pi[/tex]
[tex]\implies r=\sqrt{49 \div \pi }=3.949327085...[/tex]
[tex]\implies r=3.95 \ \textsf{mm}[/tex]
if the average speed is 2.6km per hour and distance is 55km.What is the time?
Answer:
21.15 hrs
Step-by-step explanation:
I divided 55 by 2.6 to get the 21.15.
Have a good day!
(3.4 x 10^-15) +(8.1 x 10^-14) help please, show work thank you
Answer:
see below
Step-by-step explanation:
1) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].
[tex]3.4x*\frac{1}{10^{15} } +8.1*x*10^{-14}[/tex]
2) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].
[tex]3.4x*\frac{1}{10^{15} } +8.1*x*\frac{1}{10^{14} }[/tex]
3) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]
[tex]\frac{3.4x*1}{10^{15} }+8.1*x*\frac{1}{10^{14} }[/tex]
4) Simplify [tex]3.4x*1[/tex] to [tex](3.4)x[/tex].
[tex]\frac{3.4x}{10^{15} } +8.1*x*\frac{1}{10^{14} } }[/tex]
5) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]
[tex]\frac{3.4x}{10^{15} } +\frac{8.1*x*1}{10^{14} }[/tex]
6) Simplify [tex]8.1*x*1[/tex] to [tex]8.1(x)[/tex].
[tex]\frac{3.4x}{10^{15} } *\frac{8.1*x}{10^{14} }[/tex]
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light
is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the
minimum and maximum depths Laurie wants to stay between?
-30 - x = 10 and -30 - x = -10
-30 + x = 10 and -30 + x = -10
x + 10 = 30 and x + 10 = -30
O X - 10 - 30 and x - 10 = -30
Answer:
I believe it's the 1st one.
HOPE IT HELPS! BE SAFE :3
Answer:
A
Step-by-step explanation:
What is the volume of the sphere in cubic centimeters?
Possible answers:
A. 201
B. Not enough information is given to calculate this volume
C. 1608
D. 2144
Answer:
D. 2144.6
Step-by-step explanation:
volume of a sphere is 4/3 * pi * r^3
we've been given the value of our radius as 8 and also the value for pi is 3.142 so in you solve using the formula you get 2144
[tex]\\ \rm\Rrightarrow V=4/3\pi r^3[/tex]
[tex]\\ \rm\Rrightarrow V=4/3\pi (8)^3[/tex]
[tex]\\ \rm\Rrightarrow V=4/3\pi 512[/tex]
[tex]\\ \rm\Rrightarrow V=170.6(4)\pi[/tex]
[tex]\\ \rm\Rrightarrow V=682.4cm^3[/tex]
I need help with these inequalities
TOSSING A NUMBER cube numbered from 1 to 6 and getting and even number that is greater that or equal to 2
Answer:
the probability is 3/5
Step-by-step explanation:
you have the numbers 2, 4, 6
and the numbers 3, 5
the 1 doesn't count, the question says numbers greater than or equal to 2
so, the remaining numbers add up to 3/5
What is the solution to f(x)= g(x), if f(x)=-x and g(x)=x
Answer: 0
Step-by-step explanation:
By substituting the f(x) = -x and g(x) = x into the first equation, we get -x = x so the only answer to the question is 0
mia estimated 5/8 + 1/9 by replacing 5/8 with 1 and 1/9 with 0. her estimated sum was 1+0=1. explain why mias estimate is not accurate
Answer/Step-by-step explanation:
5/8 is not close to 1 in this context. If you want to be accurate, don't estimate. Add the 2 numbers.
Brainliest?!
help me with angle sum theorem please
Answer:
y = 55°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
100° is an exterior angle of the triangle , then
y + 45° = 100° ( subtract 45° from both sides )
y = 55°
3 rhombi are connected at a point, side by side. All sides are congruent. Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide. How much paper does he need for each rhombus? square inches If his wall is 11 feet long, how much paper does he use? square inches.
Rhombus has all sides equal. The total amount of paper that will be needed to cover the wall is 396 in².
Given to us
Each rhombus will be 6 inches tall and 4 inches wide.
A.)
The area of each rhombus can be found using the formula,
[tex]Area = \dfrac{1}{2} \times d_1 \times d_2[/tex]
We know that diagonals of the rhombus are of length 6 in and 4 in. therefore,
[tex]Area = \dfrac{1}{2} \times 6 \times 4\\\\Area = 12\ in^2[/tex]
Hence, the area of the single rhombus is 12 in².
We know that the wall is 11 feet long, also, 1 foot = 12 inches, therefore,
11 feet = 132 in.
Now, since the wall is 132 in long and the width of the rhombus is 4 in, therefore, the number of rhombi that will be needed,
[tex]\dfrac{132}{4} =33[/tex]
Hence, the number of rhombi that will be needed is 33.
We know the area of each paper rhombus, also, we know the number of rhombi that will be needed. Therefore,
[tex]33 \times 12 = 396\ in^2[/tex]
Hence, the total amount of paper that will be needed to cover the wall is 396 in².
Learn more about Rhombus:
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Answer:
3 rhombi are connected at a point, side by side. All sides are congruent.
Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.
How much paper does he need for each rhombus?
✔ 12
square inches
If his wall is 11 feet long, how much paper does he use?
✔ 396
square inches
Step-by-step explanation:
egd
Is (-3-2c)/(-3) the same as (2c+3)/(3)??
(I believe they are the same, but just checking.)
Answer:
Yes, they're the same.
Step-by-step explanation:
-3-2c can be re-written as -1(2c+3) and -3 can be re-written as -1(3). So you can rewrite the fraction as -1(2c+3)/-1(3). The -1's go away and the new fraction is (2c+3)/3.
the sum of ten times a number and 12
Answer:it’s 10x + 12
Step-by-step explanation:
your welcome
The sum of ten times a number and 12 can be written as 10x + 12.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expression "ten times a number" can be represented as 10x, where x is the number.
So, "the sum of ten times a number and 12" can be written as:
10x + 12
This expression represents a mathematical operation where 10 times the number is added to 12.
Thus,
The sum of ten times a number and 12 can be written as 10x + 12.
Learn more about expressions here:
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How do I find the slope of the line?
Answer:
Use the following formula:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Step-by-step explanation:
Use "change in y over change in x"
-> See attached for more
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
IM MARKING BRAINLEIST SO PLS BE QUICK IS DUE IN MINS
Answer:
x^2y−7xy+10xy^2
Step-by-step explanation:
(the first y isn't up but I tried)
anyways, hope this helped! :)
Answer:
[tex]4x^2y-7xy+10xy^2[/tex]
Step-by-step explanation:
We have [tex]\left(6x^2y-8xy+7xy^2\right)+\left(3xy^2-2x^2y+xy\right)[/tex] and need to add them together.
Though complicated at first, we can simplify by taking out the parenthesis and making this whole question into one equation.
[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]
Now combine like terms, meaning you can only add the terms that have the same ending, in math, you cannot add numbers that have different exponents or variables.
Therefore:
[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]
[tex]6x^2y-2x^2y-8xy+xy+7xy^2+3xy^2[/tex]
[tex]4x^2y-7xy+10xy^2[/tex]
If there are 32 boys and 8 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
32 : 8
8 : 2
4 : 1
Step-by-step explanation:
32 : 8
8 : 2 (32/4 = 8, 8/4 = 2)
4 : 1 (32/8 = 4, 8/8 = 1)
Hope this helps!
Use the distributive property to remove the parentheses.
(v + 10)7
Answer:
7v+70
1v x 7=7v
10 x 7=70
Step-by-step explanation:
Sorry if wrong!
Answer:
the answer is
7v + 70
a. 6798,5 ÷ 135
b. 987,46 ÷ 322
c. 567, 6 ÷34
Answer:
A =50,35925926
=50,36
B=3,066645963
=3,07
C=16,69411765
=16,7
Hope this is what u looking for,
I will send a pic give me a minute
when a number is increased by 9.5% the result is 58 what is the original number to the nearest tenth?
Answer:
53 i think
Step-by-step explanation: