14 3/4% as a decimal
Answers
ANSWER
14.75
EXPLANATION
To write a fraction as a decimal we have to do the division. In this case we have a mixed number, so we have the whole part of the decimal and we just have to find the decimal part - which is 3/4.
3/4 is 0.75:
So 14 3/4 is:
[tex]14\frac{3}{4}=14+\frac{3}{4}=14+0.75=14.75[/tex]
Related Questions
Evaluate the expression. 2 13 21 The value of the expression is
Answers
To solve the exercise you can use the following property of powers
[tex](\frac{a}{b})^n=\frac{a^n}{b^n}[/tex]Then, you have
[tex]\begin{gathered} |(\frac{-1}{2})^3\div(\frac{1}{4})^2|=|\frac{(-1)^3}{(2)^3}^{}\div\frac{(1)^2}{(4)^2}^{}| \\ |(\frac{-1}{2})^3\div(\frac{1}{4})^2|=|\frac{-1^{}}{8}^{}\div\frac{1}{16}^{}| \end{gathered}[/tex]Now, apply the definition of fractional division, that is
[tex]\frac{a}{b}\div\frac{c}{d}=\frac{a\cdot d}{b\cdot c}[/tex][tex]\begin{gathered} |(\frac{-1}{2})^3\div(\frac{1}{4})^2|=|\frac{-1^{}\cdot16}{8\cdot1}^{}| \\ |(\frac{-1}{2})^3\div(\frac{1}{4})^2|=|\frac{-1^{}6}{8}^{}| \\ |(\frac{-1}{2})^3\div(\frac{1}{4})^2|=|-2| \end{gathered}[/tex]Finally, apply the definition of absolute value, that is, it is the distance between a number and zero. The distance between -2 and 0 is 2.
Therefore, the value of the expression is 2.
[tex]\begin{gathered} |(\frac{-1}{2})^3\div(\frac{1}{4})^2|=|-2| \\ |(\frac{-1}{2})^3\div(\frac{1}{4})^2|=2 \end{gathered}[/tex]What is the y intercept of this table?Х 0,3,6. y 5,11,17
Answers
We are given a table of x-values and their corresponding y values for a function. We are asked to express the y-intercept.
Since the table reads that for x= 0 the associated value id y = 5, then right from that info we can say that the function intercepts the y axis at the point y=5.
In coordinate pair point it reads like: (0, 5)
Recall that the y-intercept is the point at which the function crosses the y-axis, and that happens when x = 0.
=O REAL NUMBERSDistributive property: Integer coefficientsUse the distributive property to remove the parentheses.+(-5u-+*+4)INOPX 5 ?
Answers
The given expression is:
[tex]-(-5u-x+4)[/tex]Using the distributive property of multiplication over addition, we have
[tex]\begin{gathered} -(-5u-x+4)=-(-5u)-(-x)-(+4) \\ =+5u+x-4=5u+x-4 \end{gathered}[/tex]Therefore, removing the paranthesis gives:
5u + x - 4
.
Given that the points (-2, 10), (5, 10), (5, 1), and (-2, 1) are vertices of a rectangle, how much longer is the length than the width? A) 1 unit B) 2 units 0) 3 units D) 4 units E) 5 units
Answers
The length of both sides is obtained by subtracting one coordinate from another sharing a similar coordinate.
(-2,10) - (5,10) = (-7,0)
These points are 7 units apart.
Let's compare the other length.
(5,10) - (5,1) = ( 0, -9)
These points are 9 units apart.
Therefore, the length is longer than the breadth by 9 - 7 = 2 units
Option B
I tried but immediately got confused on what to start with
Answers
Radius of the inscribed circle.
Given:
Side length of square = 8cm
From the diagram, the circumference of the inscribed circle touches the sides of the square. Hence, we can say that the diameter of the inscribed circle is equal to the side length of the square.
The diagram below shows this relationship
We know that the radius (r) is related to the diameter (d) as
Which of the following lines is parallel to the line y= -3/2x-4?
Answers
ANSWER:
1st option: y = -3/2x + 5
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
[tex]\begin{gathered} y=mx+b \\ \\ \text{ where m is the slope and y-intercept is b} \end{gathered}[/tex]Two lines are parallel when the slope is the same, therefore, the line parallel to this line must have a slope equal to -3/2.
We can see that option 2 is the same line, therefore, they cannot be parallel, so the correct answer is 1st option: y = -3/2x + 5
Carolyn has a circular swimming pool with a diameter of 20 feet. She needs to know the area of the bottom of the pool so that she can find out how much paint to buy for it. What is the approximate area?
Answers
To find the area of the bottom we have to use the formula to find the area of a circle:
[tex]A=\pi r^2[/tex]Where A is the area and r is the radius.
The first step is to find the radius of the circle, which is half the diameter:
[tex]\begin{gathered} r=\frac{D}{2} \\ r=\frac{20ft}{2} \\ r=10ft \end{gathered}[/tex]Replace r in the given formula and use 3.14 as pi:
[tex]\begin{gathered} A=3.14\cdot(10ft)^2 \\ A=314ft^2 \end{gathered}[/tex]The answer is 314ft^2.
Please help me find the inverse of f(x) = 2^x. I think that will help me label these?
Answers
Given function:
[tex]f(x)=2^x[/tex]To obtain the inverse of the function f(x), we follow the steps outlined below:
Step 1: Replace f(x) with y:
[tex]y=2^x[/tex]Step 2: Interchange x and y
[tex]x=2^y[/tex]Step 3: Solve for y:
[tex]\begin{gathered} \text{Take logarithm of both sides} \\ \log x=log2^y \\ y\log 2\text{ = log x} \\ \text{Divide both sides by log2} \\ y\text{ = }\frac{\log x}{\log \text{ 2}} \\ y\text{ = }\log _2x \end{gathered}[/tex]Step 4: Replace y with f-1(x):
[tex]f^{-1}(x)\text{ = }\log _2x[/tex]Answer:
[tex]f^{-1}(x)\text{ = }\log _2x[/tex]which of the following is an even fonction?
g(x)=(x-1)² +1
9(x) = 2x² +1
9(x) = 4x+2
g(x) = 2x
Answers
Answer:
g(x)=2x^2 +1 would be the even function
Step-by-step explanation:
To find if a function is even, you substitute -x for every x in the function. If the function stays the exact same, the function is even. For the first one, (x-1)^2 +1, If -x is substituted, we get (-x-1)^2 +1, which is not the same as the original function.
2x^2 +1 = 2(-x)^2 +1 =2x^2 +1 This function is even
(a negative squared will be positive)
4x+2 = 4(-x)+2 =-4x +2 This function is not even
2x = 2(-x) = -2x This function is not even
what is the fill in for the diagram drop downs drop down 1: is it a reflexive property, equivalent equation or transitive property of equality.drop down 2: does it have subtraction property of equality, divison of equality or reflexive property and lastly drop down 3: is it a substitution, equivalent equation or subtraction property of equality
Answers
Remember the following properties of real numbers:
Reflexive property:
This property states that a number is always equal to itself.
This property is different from the equivalent equations property. In fact, two equations that have the same solution are called equivalent equations,
Division property of equality:
This property states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.
Substitution property of equality:
This property states that if x = y, then x can be substituted in for y in any equation.
We can conclude that the correct answer is:
Answer:Drop Down 1: reflexive property
Drop Down 2: division property of equality.
Drop Down 3: substitution
Tonya leaves home on her motorcycle and travels 12 miles east and 7 miles north. How far in Tonya from her original starting point?
Answers
The distance is 13.892 miles.
Given:
Distance travelled in east is 12 miles.
Distance travelled in north is 7 miles.
The objective is to find how far is tonya from the starting point.
The distance between starting point and ending point can be calculated using Pythagorean theorem.
Consider the given figure as,
By applying Pythagorean theorem,
[tex]AC^2=AB^2+BC^2[/tex]Now, substitute the given values in the above formula.
[tex]\begin{gathered} x^2=12^2+7^2 \\ x^2=144+49 \\ x^2=193 \\ x=\sqrt[]{193} \\ x=13.892 \end{gathered}[/tex]As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 56 Second number: 57
Answers
We're asked to find a number x such that by being multiplied by 36 becomes 57, so we need
[tex]\begin{gathered} 56x=57 \\ x=\frac{57}{56} \end{gathered}[/tex]then
[tex]56(\frac{57}{56})=57[/tex]How does the value of 1 in Maisha’s time compare with the value of 1 in Patti’s time?
Answers
o from Mobile. How Tar IS Il IIUMI U 3117 12. Cincinnati is 488 miles from New York City and along the way to Brownsville, Texas which is 2007 miles from New York. How far, then, is it from Cincinnati to Brownsville?
Answers
ANSWER:
2495 miles.
STEP-BY-STEP EXPLANATION:
To answer the question we make the following scheme:
Therefore the distance between Cincinnati and Brownsville is the sum of the distance between Cincinnati to New York and New York to Brownsville, like this
[tex]\begin{gathered} d=488+2007 \\ d=2495 \end{gathered}[/tex]Therefore the distance between Cincinnati and Brownsville is 2495 miles.
Given that line AB is tangent to the circle, find m
Answers
Solution:
Given the figure below:
To solve for m∠CAB, we use the chord-tangent theorem which states that when a chord and a tangent intersect at a point, it makes angles that are half the intercepted arc.
Thus,
[tex]m\angle CAB=\frac{1}{2}\times arc\text{ CDB}[/tex]where
[tex]\begin{gathered} m\angle CAB=(4x+37)\degree \\ arc\text{ CDB=\lparen9x+53\rparen}\degree \end{gathered}[/tex]By substituting these values into the above equation, we have
[tex]4x+37=\frac{1}{2}(9x+53)[/tex]Multiplying through by 2, we have
[tex]\begin{gathered} 2(4x+37)=(9x+53) \\ open\text{ parentheses,} \\ 8x+74=9x+53 \end{gathered}[/tex]Collect like terms,
[tex]\begin{gathered} 8x-9x=53-74 \\ \Rightarrow-x=-21 \\ divide\text{ both sides by -1} \\ -\frac{x}{-1}=-\frac{21}{-1} \\ \Rightarrow x=21 \end{gathered}[/tex]Recall that
[tex]\begin{gathered} m\operatorname{\angle}CAB=(4x+37)\operatorname{\degree} \\ where \\ x=21 \\ thus, \\ m\operatorname{\angle}CAB=4(21)+37 \\ =84+37 \\ \Rightarrow m\operatorname{\angle}CAB=121\degree \end{gathered}[/tex]Hence, the measure of the angle CAB is
[tex]121\degree[/tex]Are the ratios 1:6 and 14:18 equivalent
Answers
I don't know I need points you are loved tho I don't know I need points you are loved tho
THE GRAPH OF THIS SYSTEM OF LINEAR INEQUALITIES IS X-2Y< OR EQUAL 6 X> OR EQUAL TO 0 Y< OR EQUAL TO 2GRAPH
Answers
The graph of the system of linear inequalities x - 2y ≤ 6 , x ≥ 0 and y ≤ 2 is attached below.
The system of linear inequalities is x - 2y ≤ 6 , x ≥ 0 and y ≤ 2
The solution set of x ≥ 0 includes {x ∈ R , x ≥ 0 }
The solution set of y ≤ 2 includes {y ∈ R , y ≤ 2 }
The solution set of x - 2y ≤ 6 , shows the region of the graph that is below the straight line x - 2y = 6 .
Let us now plot the graph of the straight line x - 2y = 6 with the slope of -1/2 .
At x = 0 , y = - 3
At x = 2 , y = - 2
At x = -4 , y = - 5
hence the graph will pass through the points (0,-3) , (2,-2) and (-4,-5)
The line x = 0 indicates the x-axis and the line y=2 indicates the straight line parallel to x axis passing through (0,2) .
The shaded region of the graph indicates the solution set of the system of inequalities.
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What is 44.445 to the nearest hundredth
Answers
Answer:
44.45
Explanation:
Given 44.445
We are to convert to the nearest hundredth
Since the last value at the back is greater than 4, we will add 1 to the preceding value behind it to make it 5 as shown
44.445 = 44.4(4+1) [1 is added to the second value from the back
44.445 = 44.45
Hence the value to nearest hundredth is 44.45
Which products are greater than 2 5/6?A.1/8 × 2 5/6B.2 5/6 × 2 5/6C.2 5/6 × 1 5/8D.5/6 × 2 5/6E.6/5 × 2 5/6
Answers
First, we need to change the mixed number to an improper fraction:
[tex]2\frac{5}{6}=\frac{(6\cdot2)+5}{6}=\frac{17}{6}\approx2.83[/tex]Now let's evaluate each of the options:
A.
[tex]\frac{1}{8}\times2\frac{5}{6}=\frac{1}{8}\times\frac{17}{6}=\frac{1\cdot17}{8\cdot6}=\frac{17}{48}\approx0.354[/tex]B.
[tex]2\frac{5}{6}\times2\frac{5}{6}=\frac{17}{6}\times\frac{17}{6}=\frac{17\cdot17}{6\cdot6}=\frac{289}{36}\approx8.02[/tex]C.
[tex]2\frac{5}{6}\times1\frac{5}{8}=\frac{17}{6}\times\frac{13}{8}=\frac{17\cdot13}{6\cdot8}=\frac{221}{48}\approx4.60[/tex]D.
[tex]\frac{5}{6}\times2\frac{5}{6}=\frac{5}{6}\times\frac{17}{6}=\frac{5\cdot17}{6\cdot6}=\frac{85}{36}\approx2.36[/tex]E.
[tex]\frac{6}{5}\times2\frac{5}{6}=\frac{6}{5}\times\frac{17}{6}=\frac{6\cdot17}{5\cdot6}=\frac{17}{5}\approx3.4[/tex]Now, we can conclude that options B, C, and E are greater than 2 5/6.
what are the consecutive perfect cubes which added to obtain a sum of 100?441?
Answers
Answer:add 341 more cubes and that shall be your answer
1,2, 3 and 4 are the consecutive perfect cubes which added to obtain a sum of 100.
What is Number system?A number system is defined as a system of writing to express numbers.
Consecutive perfect cubes which added to obtain a sum of 100
Perfect cubes are the numbers that are the triple product of the same number.
1³+2³+3³+4³
One cube plus two ube plus three cube plus four cube
1+8+27+64
One plus eight plus twenty seven plus sixty four.
100
1,2, 3 and 4 are the consecutive perfect cubes which added to obtain a sum of 100.
Hence, 1,2, 3 and 4 are the consecutive perfect cubes which added to obtain a sum of 100.
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I need help with this practice from my ACT prep guide onlineI’m having trouble solving it It asks to graph, if you can, use Desmos
Answers
Given:
[tex]f(x)=-4\cos (\frac{2}{3}x+\frac{\pi}{3})-3[/tex]Graph of function is cos from.
Period of the function is:
Check for period inter.
[tex]=3\pi[/tex]how do I know what exponent and base I use when I simplify an exponent, for example, 16^1/4 become (2^4)^1/4 which becomes 2. How do I know I have to use 2^4 instead of another number like 4^2 that is still equal to 16. Why can't I use a different number that is equal to the same thing?
Answers
Answer:
Reason:
16^1/4=(2^4)^1/4
Explanation:
You can use either 4^2 or 2^4 both gives the same answer.
In order to simplify the steps we use 2^4.
we get,
[tex]16^{\frac{1}{4}^{}^{}}=(2^4)^{\frac{1}{4}}[/tex][tex]=2^{4\times\frac{1}{4}}[/tex]4 in the power got cancelled and we get,
[tex]=2[/tex]Alternate method:
If we use 4^2 we get,
[tex]16^{\frac{1}{4}}=(4^2)^{\frac{1}{4}}[/tex][tex]=4^{2\times\frac{1}{4}}[/tex][tex]=4^{\frac{1}{2}}[/tex]we use 4=2^2,
[tex]=(2^2)^{\frac{1}{2}}=2[/tex]In order to get answer quicker we appropiately use 2^4=16 here.
Rules in exponent:
[tex]a^n\times a^m=a^{n+m}[/tex][tex]\frac{a^n}{a^m}=a^{n-m}[/tex][tex]\frac{1}{a^m}=a^{-m}[/tex][tex](a^n)^m=a^{n\times m}[/tex][tex]4^{3\times\frac{1}{2}}=4^{\frac{3}{2}}[/tex]use 4=2^2, we get
[tex]=2^{2\times\frac{3}{2}}[/tex]2 got cancelled in the power, we get
[tex]=2^3[/tex][tex]=8[/tex]we get,
[tex]4^{3\times\frac{1}{2}}=8[/tex]Consider the line y=7x-7Find the equation of the line that is perpendicular to this line and passes through the point (-8,5) Find the equation of the line that is parallel to this line and passes through the point (-8,5)
Answers
Given:
The equation of a straight line is,
[tex]y=7x-7[/tex]The objective is to find,
a) The equation of perpendicular line passes throught the point (-8,5).
b) The equation of parallel line passes throught the point (-8,5).
Explanation:
The general equation of straight line is,
[tex]y=mx+c[/tex]Here, m represents the slope of the straight line and c represents the y intercept.
a)
For perpendicular lines, the prouct of slope of two lines will be (-1).
By comparing the general equation and the given equation the slope value will be,
[tex]m_1=7[/tex]Now, the slope value of perpendicular line can be calculated as,
[tex]\begin{gathered} m_1\times m_2=-1 \\ 7\times m_2=-1 \\ m_2=-\frac{1}{7} \end{gathered}[/tex]Since, the perpendicular line passes through the point (-8,5), the equation of line can be calculated using point slope formula.
[tex]\begin{gathered} y-y_1=m_2(x-x_1)_{} \\ y-5=-\frac{1}{7}(x-(-8)) \\ y-5=-\frac{1}{7}(x+8) \\ y-5=-\frac{x}{7}-\frac{8}{7} \\ y=-\frac{x}{7}-\frac{8}{7}+5 \\ y=-\frac{x}{7}-\frac{8}{7}+\frac{35}{7} \\ y=-\frac{x}{7}+\frac{27}{7} \end{gathered}[/tex]Hence, the equation of perpendicular line is obtained.
b)
For paralle lines the slope value will be equal for both lines.
[tex]m_1=m_3=7[/tex]Since, the parallal line passes through the point (-8,5), the equation of line can be calculated using point slope formula.
[tex]\begin{gathered} y-y_1=m_3(x-x_1) \\ y-5=7(x-(-8)) \\ y-5=7(x+8) \\ y-5=7x+56 \\ y=7x+56+5 \\ y=7x+61 \end{gathered}[/tex]Hence, the equation of parallel line is obtained.
I need help with statistical problem I have got the answer of 0.3354 because I subtracted 0.9991 - 0.146 I wanted to know if that was correct I kept getting the answer wron
Answers
From the quetion
We are given a normal distribution with mean = 0 and standard deviation = 1
The sketch of the distribution is as shown below
Therefore option C is the correct answer
We are to find the probability that a given score is between -2.18 and 3.74
The probability is
[tex]P\mleft(-2.18Therefore,The probability is 0.9853
Estimate the fraction 3/8 by rounding to the nearest whole or one-half
Answers
SOLUTION
The fraction given is
[tex]\frac{3}{8}[/tex]To round-off the fraction, we need to convert it to decimal number
[tex]\frac{3}{8}\text{ to decimal is }[/tex]Hence
The estimated fraction in decimal will be
[tex]0.375=0.4=\frac{4}{10}=\frac{2}{5}[/tex]Answer: 1/2 is the answer
hope this helped :)
Step-by-step explanation:
Set B and Set C are grouped according to the Venn Diagram below. Set B is (9, 12, 14, 17, 18) and Set C is (6,9,11, 12, 18, 19). The sample space is (1, 6, 9, 11, 12, 14, 17, 18, 19, 20).
Answers
To get the probability of an event to occur, we have the following formula:
[tex]P=\frac{no.\text{ of favorable outcomes}}{\text{total no. of possible outcomes}}[/tex]According to the problem, the sample space is (1, 6, 9, 11, 12, 14, 17, 18, 19, 20) therefore, the total no. of possible outcomes is 10.
For Set B, the sample is (9, 12, 14, 17, 18), therefore, there are 5 possible outcomes that belong to set B.
Starting with the first question, what is the probability of Set B to occur?
[tex]P=\frac{no.\text{ of outcomes from B}}{\text{total no. of possible outcomes}}=\frac{5}{10}=\frac{1}{2}=0.50=50\text{ percent}[/tex]For Set C, the sample is (6,9,11, 12, 18, 19) therefore, there are 5 possible outcomes that belong to set C as well.
On the next question, what is the probability of Set C to occur?
[tex]P=\frac{no.\text{ of outcomes from C}}{\text{total no. of possible outcomes}}=\frac{5}{10}=\frac{1}{2}=0.50=50\text{ percent}[/tex]For the third question, what is the probability of Set B or C to occur?
Since the outcomes under B or C are (6, 9, 11, 12, 14, 17, 18, 19), the probability of the union of B and C is:
[tex]P=\frac{no.\text{ of outcomes from B or C}}{\text{total no. of possible outcomes}}=\frac{8}{10}=\frac{4}{5}=0.80=80\text{ percent}[/tex]On to the last question, what is the probability of the intersection of B and C to occur?
Since the outcomes that are found on both B and C are (9,12,18), the probability of the intersection of B and C is:
[tex]P=\frac{no.\text{ of outcomes found on both B and C}}{\text{total no. of possible outcomes}}=\frac{3}{10}=0.30=30\text{ percent}[/tex]Writing Equations Is As Easy As 1, 2, 3 Digital Write the equation of the line that has the indicated slope and y-intercept. Slope = 2; y-intercept is (0,5)
Answers
The general structure of a linear function is "slope-intercept" form is
y=mx+b
Where
m is the slope
b is the y-intercept
To write the equation for a slope 2 and y-intercept (0,5) you have to replace said values in the formula:
m=2
b=5
y=2x+5
You are choosing 4 of your 7 trophies and arranging them in a row on a shelfIn how many different ways can you choose and arrange the trophies?A. 840B. 28C. 24D. 5040
Answers
The formula to find how many different ways are there to choose a subgroup of r things from a group of n things is
[tex]\frac{n!}{(n-r)!}[/tex]Here, you have 7 trophies and you want to choose 4 of them, so you have
[tex]\frac{7!}{(7-4)!}\text{ = }\frac{5040}{6}=840[/tex]So there are 840 ways to choose your 4 trophies out of the 7 you have.
Write an equation for the area and solve the equation for x.
Answers
Given the figure of a rectangle
The area = A = 26
Length = x + 6
width = x + 2
Area = length * Width
so, the equation of the area will be:
[tex]A=(x+6)(x+2)[/tex]so,
[tex](x+6)(x+2)=26[/tex]solve for x as follows:
[tex]\begin{gathered} x^2+8x+12=26 \\ x^2+8x+12-26=0 \\ x^2+8x-14=0 \\ \end{gathered}[/tex]Use the general rule to find the value of x
So,
[tex]\begin{gathered} a=1,b=8,c=-14 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-8\pm\sqrt[]{64-4\cdot1\cdot-14}}{2\cdot1} \\ \\ x=\frac{-8\pm\sqrt[]{120}}{2}=\frac{-8\pm2\sqrt[]{30}}{2}=-4\pm\sqrt[]{30} \end{gathered}[/tex]So, the answer will be:
[tex]\begin{gathered} A=(x+6)(x+2)_{} \\ \\ x=-4+\sqrt[]{30},-4-\sqrt[]{30} \end{gathered}[/tex]Make a estimate then divide using partial-quotients division write your remainder as a fraction
Answers
We can make an estimate for the given division by rounding the dividend to the nearest hundred and the divisor to the nearest ten.
We obtain:
[tex]812\div17\cong800\div20=40[/tex]Now, using partial-quotients division, we obtain:
17 ) 812
-170 +10 because 10*17=170
642
-170 +10
472
-170 +10
302
-170 +10
132