Step-by-step explanation:
SPE = m. g. h
0,058 = 0,005.(10).h
0,058 = 0,05.h
h= 0,058 / 0,05
h = 1.16 m
So, height for above SPE is
SPE = mass*g*h
0.058Nm = 0.005kg*10N/m*h
0.058Nm = 0.05N*h
h = 0.058Nm/0.05N
h = 1.16m✅
⏩Option (B)
what is the solution to the inequality |x-4| less than 3?
A: -7 less than x less than -1.
B: 1 less than x less than 7.
c: x less than -7 or x less than -1.
D: x greater than 1 or x less than 7.
Answer:
B
Step-by-step explanation:
x cannot have any negative value, or the sum with -4 will create -5 or lower, and the corresponding absolute value is therefore larger than 3.
so, A and C are automatically out.
D can't be right, because it is an "or" condition, so, we could violate one of the conditions (like "x greater than 1"), and it would still be OK, as long as we keep the second. but that is not true, as we just ruled out negative x values.
so, only B includes the "and" condition.
it means 1 has to be less than x AND x has to be less than 7.
and that is correct.
Answer:
b
Step-by-step explanation:
Write an equivalent fraction for 15 over 20 by simplifying the fractions. Reduce the following to their lowest terms. Write an equivalent fraction for 33 over 88 by simplifying the fractions. Reduce the following to their lowest termsWrite an equivalent fraction for81 over 120 by simplifying the fractions. Reduce the following to their lowest terms
Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value.
To get an equivalent fraction, the numerator and the denominator of one fraction are either multiplied or divided by the same constant number to produce the equivalent fraction.
Part A:
To reduce a fraction to its lowest term, we divide both the numerator and the denominator by a constant number.
Dividing both the numerator and denominator by 5
\(\begin{gathered} \frac{15}{20} \\ \frac{15}{20}=\frac{\frac{15}{5}}{\frac{20}{5}}=\frac{3}{4} \\ \frac{15}{20}=\frac{3}{4} \end{gathered}\)Therefore, an equivalent fraction in its lowest term for
\(\frac{15}{20}\text{ is }\frac{3}{4}\)Part B:
Dividing both the numerator and denominator by 11
\(\begin{gathered} \frac{33}{88} \\ \frac{33}{88}=\frac{\frac{33}{11}}{\frac{88}{11}}=\frac{3}{8} \\ \frac{33}{88}=\frac{3}{8} \end{gathered}\)Therefore, an equivalent fraction in its lowest term for
\(\frac{33}{88}\text{ is }\frac{3}{8}\)
Part C:
Dividing both the numerator and denominator by 3
\(\begin{gathered} \frac{81}{120} \\ \frac{81}{120}=\frac{\frac{81}{3}}{\frac{120}{3}}=\frac{27}{40} \\ \frac{81}{120}=\frac{27}{40} \end{gathered}\)Therefore, an equivalent fraction in its lowest term for
\(\frac{81}{120}\text{ is }\frac{27}{40}\)A triangular prism is shown.
What is the surface area of the triangular
prism?
Answer:
Area= 840
Step-by-step explanation:
Area= (20x13)x2+(10x12x1/2)x2+10x20
=520+120+200
=840
Area=Two area of the triangle [13x20] + Two area of the rectangle + Under area (rectangle)- [10x20]Which of the following is true
Answer:
The answer is answer choice E.
Step-by-step explanation:
Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees
PLEASE I NEED HELP
Use composition to prove that f(x) and g(x) are inverses. Check your work
F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.
How do you verify that f x and G x are inverses?If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.
Explanation:
Instance 1
Inverse functions of both functions can be found using the first method.
Example.
Inverse of f (x) = x + 7 is what we're looking for.
We attempt to determine x using the equation y = x + 7.
y = x + 7
Inferring that g (x) is the inverse of f (x) from the fact that x = y 7
Finding g (x inverse )'s is now necessary.
g( x ) = x − 7
y = x − 7
x = y + 7
As a result, we discovered that f (x) is the inverse function of g (x).
f and g are equal if g is inverse of f and vice versa.
The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.
Example:
f ( g ( x ) = [ x − 7 ] + 7
G ( x ) placed as x is the expression in brackets.
f ( g ( x ) ) = x − 7 + 7 = x
g (f ( x ) = [ x + 7 ] − 7
f ( x ) inserted as x is the expression in brackets.
g ( f ( x ) ) = x + 7 − 7 = x
The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.
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Which rectangle has side lengths of 5 units and 4 units?
A(3, 3), B(3, 6), C(8, 6), D(8, 3)
A(3, 3), B(3, 7), C(8, 7), D(8, 3)
A(3, 3), B(3, 7), C(7, 7), D(7, 3)
A(3, 3), B(3, 8), C(8, 8), D(8, 3)
The rectangle that will side lengths of 5units and 4 units will have coordinate of A(3, 3), B(3, 7), C(8, 7), D(8, 3) ( option B)
What is distance between two points?Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²).
For a rectangle, the opposite sides are equal this means AB = C D and CB = AD
To verify the answer, The distance between AB = √((3– 3)² + (7– 3)²).
line AB = √0+16= 4units
line AD = √((8– 3)² + (3– 3)²).
line AD = √25+0
line AD = 5 units
therefore the sides of the rectangle are 5units and 4 units.
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Alice has 3/4 liter of orange juice. She wants to share it equally among 5 people. Which expression can Alice use to determine how much juice (in liters) each
person will receive?
O x5
0 + 5
Answer:
\(\displaystyle{l=\frac{3}{4}\div{5}}\)
Step-by-step explanation:
\(\displaystyle{l=\frac{3}{4}\div{5}=\frac{3}{4}\div\frac{5}{1}=\frac{3}{4}\times\frac{1}{5}=\frac{3}{20}\text{ L}}\)
How many pounds are in 1 1/2 pounds and 8 ounces? There are _____ pounds in 1 1/2 pounds and 8 ounces.
Answer:
Hope this helps
Step-by-step explanation:
Since 16 ounces equal 1 pound, we’ll add 16 + 16, which is 32 ounces. For one half of a pound, simply divide the amount of ounces in a pound (16) by half. 16 divided by 2 is 8, so in total your answer would be 40 ounces in 2 1/2 pounds.
2(a) Another 'think of a number' problem is represented by the equation below.
2w-1
5
Complete the steps below to show the mental calculations that were made.
I think of a number (call it w)
Step 1: Multiply it by 2
Step 2: multiply it by 1
-+w+2=2w
Step 3:multiply it by 5
Step 4:multiply it by 1
Step 5:multiply it by 8
The result is double the number I started with
The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
(2w - 1) / 5 + w + 2 = 2w
Simplify the equation, then we have
(2w - 1) / 5 + w + 2 = 2w
(2w - 1) / 5 = w - 2
2w - 1 = 5w - 10
3w = 9
w = 3
The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.
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The complete question is given below.
Determine the rational zeros for the function f(x)=8x^(3)-6x^(2)-23x+6.
a. -(1)/(2),(1)/(4),2
c. -1(1)/(2),(1)/(4),2
b. 1(1)/(2),(1)/(4),-2
d. -1(1)/(2),-(1)/(4),2
Answer:
Step-by-step explanation:
Solve following differential equation by changing independent variable: `(d^(2)y)/(dx^(2))=-(1)/(x)(dy)/(dx)+4x^(2)y=x^(4)`
Answer: Let u = ln(x). Then, we have:
y = y(u)
dy/dx = dy/du * du/dx = dy/du * (1/x)
d^2y/dx^2 = d/dx (dy/du * du/dx) = d^2y/du^2 * (1/x)^2 - dy/du * (1/x^2)
Substituting these into the original differential equation yields:
d^2y/du^2 - dy/du + (4 - e^u)y = e^(2u)
This is now a second-order ordinary differential equation in y with constant coefficients, which can be solved using standard methods such as the characteristic equation or undetermined coefficients.
Step-by-step explanation:
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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What is the solution to y + 8.5 = 17.2?
Answer:
y+8.5 = 17.2
y = 17.2-8.5
= 8.7
Answer:
y+8.5 = 17.2
y = 17.2-8.5
= 8.7
Step-by-step explanation:
yes the answer above me is correct
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
I need help with this question:
Simplify
The simplified form of the given expression as a fraction is 7x/x-7
Simplification of fractionsFractions are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.
Given the expression below;
(1/7+1/x)/(1/49+1/x²)
Find the LCM to have:
(x+7/7x)/(x²-49)/49x²
Divide to have:
x+7/7x * 49x²/(x²-49)
(x+7) * 7x/(x+7)(x-7)
Cancel out the like terms to have:
1 * 7x/x-7
= 7x/x-7
Hence the simplified form of the given expression as a fraction is 7x/x-7
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The ratio of blue paint to yellow paint is 5:6 in order to make green paint if 30 ounces of blue paint are used how many ounces of yellow paint are needed to create green
Answer:
36
Step-by-step explanation:
It takes two painters five hours to finish painting a house how long would it take to finish painting a house if there were 20 painters working at the same rate.
Answer:
the answer is 0.5
Step-by-step explanation:
you have to find the constant of variation which is ten than you need 20 painters so you do 10/20 or 1/2 which is also 0.5
Answer:
The answer would be 0.5.
Step-by-step explanation:
CAN SOMEONE HELP WITH THIS QUESTION?
The solution is, 3 + x for both. They did the same amount.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
Will volunteered 3 hours in march. In April, he volunteered the same amount plus the same amount at Lydia did in March. Since we don't know Lydia's then this is x. So in April, Will volunteered 3 + x.
Hector volunteered 5 hours in March. But in April, he volunteered 2 less than March which 5-2 = 3. Plus he did the same amount as Lydia in March. So his expression is 3+x.
Will and Hector did the same amount of hours.
Hence, The solution is, 3 + x for both. They did the same amount.
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King of Diamonds Industries has bonds on the market making annual payments, with 14 years to maturity, and selling for R1 482,01. At this price, the bonds yield 7%. What is the coupon rate?
The coupon rate of the bonds by King of Diamonds Industries would be 7 %.
How to find the coupon rate ?The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:
= (Coupon payment x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value / (1 + rate )^ number of years
1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14
103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x (1 - ( 1 + 0.07) ^ ( - 14) )
Using a calculator, C is $ 70.
This means that the coupon rate is:
= 70 / 1, 000
= 7 %
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I need to find the width of the rectangle
Caroline buys a plant from the store that is 12 cm tall.
Every week, the plant grows 2 cm.
Let heheight of the plant and w=weeks.
Click "show your work" and complete all of the tasks in
the whiteboard
Answer:
Height in w week = 12 + 2w
Step-by-step explanation:
Given:
Height of plant = 12 cm
Rate of plant growth = 2 cm per week
Find:
Equation
Computation:
Height in w week = Height of plant + (Rate of plant growth)(Number of week)
Height in w week = 12 + (2)(w)
Height in w week = 12 + 2w
I need help :( Pleaseeeeeee
Answer:
-5
Step-by-step explanation:
-15/-3
-5
If im wrong sorry :(
Step-by-step explanation:
the answer is -63 lol for some reason it said i need 20 letters to answer your question but there you go -63
Despite having developed a reputation as a good cook, I'm really not one. What I am is a really good recipe follower. I put my trust in real chefs whose recipes are posted here on Recipe Masters. Turns out, though, my trust was misplaced. Sadly, my weekly supper club dinner that featured a Recipe Masters recipe for meatball sub casserole turned into a pizza delivery night. If after reading this review, any of my fellow Recipe Masters subscribers are still set on trying this casserole recipe, here is my advice: Stop after the first step, when the sauce turns into an un-stirrable glob. Don't do as I did and continue on, believing things will improve. They won't. Following this recipe is a recipe for disaster. My advice for Recipe Masters is to ensure that recipes posted here are "tried and true," as advertised. We subscribers pay a fee for access to "top-notch, no-fail recipes." If we lose faith in your recipes, we might just turn to the free recipe sites all over the internet. Which sentence best summarizes the author's point of view about the casserole recipe posted on Recipe Masters?
The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.
The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.
Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.
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Write the equation 2x - 3y = 6 in slope-intercept form.
Answer:
\( y = \frac{ 2}{ 3} x - 2\)
Step-by-step explanation:
\(2x - 3y = 6 \\ - 3y = - 2x + 6 \\ \\ y = \frac{ - 2}{ - 3} x + \frac{6}{ - 3} \\ \\ \huge \purple{ \boxed{ y = \frac{ 2}{ 3} x - 2}} \\ this \: is \: in \: the \: slope - intercept \: form.\)
Answer:
y = 2/ 3 x − 2
Step-by-step explanation:
slope intercept is y=mx+b
help pledssssssssssssssssssssssss
90 points
The table shows the number of bottles of different kinds of juice sold at a cafeteria on Monday.
If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table?
A) The number of bottles of cranberry juice sold will be 6 more than the number of bottles of pineapple juice sold.
B) The number of bottles of apple juice sold will be 6 times the number of bottles of cranberry juice sold.
C) There will be a total of 50 bottles of orange and cranberry juice sold.
Eliminate
D) The difference between the number of bottles of apple juice sold and the number of bottles of pineapple juice sold will be 14.
Answer:
where is the table??
Step-by-step explanation:
Help with math problems
Answer:
The answer is 7d < -6
Step-by-step explanation:
3d-8<4d+2
3d+4d<-8+2
7d<-6
PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(f - 5)(-2) + 111
Need help
The Answer is : -2f+121
which of the following number lines represents the solution to d/-2+5=7?
Answer:
Option D
Step-by-step explanation:
Solve for d
d has to be isolated and made the subject of the equation:
\(\frac{d}{-2} + 5 = 7\)
\(\frac{d}{-2} = 7 - 5\)
\(\frac{d}{-2} = 2\)
\(\frac{d}{-2} = \frac{2}{1}\)
Cross-multiplication is applied:
\((d)(1) = (-2)(2)\)
∴ d = \(-4\)
Since d is equal to \(-4\), then the coloured dot should be placed on \(-4\) on the number line
∴Option D