Answer:
35.98
Step-by-step explanation:
To find the perimeter take 1/2 of the circumference plus the length of the diameter
P = 1/2 * pi *d + d
=1/2 pi 14 +14
= 7pi +14
Letting pi = 3.14
7(3.14) + 14
21.98 +14
35.98
Andrew got hired at grub burger and earns $8.25 an hour. Which choice is correct for filling the amount of $ going down? Each line separated by a comma.
Answer:
The given table is
Hours. Earnings per hour.
0
4
8
12
Now, the unit rate is $8.25 per hour, according to the proble, this is the constant ratio of change, that means, we only need to multiply the number of hours with the unit rate.
[tex]0 \times 8.25=0\\4 \times 8.25= 33\\8 \times 8.25=66\\12 \times 8.25 = 99[/tex]
Therefore, the complete table isHours. Earnings per hour.
0 0
4 33
8 66
12 99
Timmy has 6 pennies. Sara steals 3 pennies from Timmy. How many pennies does Timmy have now ?
Answer:
Timmy has 3 pennies.
Step-by-step explanation:
If Timmy has 6 pennies at first, and Sarra takes away 3
then 6-3=3, so timmy has three left.
3 because she stole 3. 6-3=3
All rectangles have four right angles. Which quadrilateral is always a rectangle?
A) parallelogram
B) rhombus
C) square
D) trapezoid
Answer:
a
Step-by-step explanation:
A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.
Answer:
A
Step-by-step explanation:
Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]
Answer:
-5 < a < 3.4
Step-by-step explanation:
3 - 2a < 13
3 - 13 < 2a
2a > -10
a > -5
5a < 17
a < 3.4
Solution:
-5 < a < 3.4
Step-by-step explanation:
Step 1: Find the solution to the first equation
[tex]3 - 2a < 13[/tex]
[tex]3 - 3 - 2a < 13 - 3[/tex]
[tex]-2a < 10[/tex]
[tex]-2a / -2 < 10 / -2[/tex]
[tex]a > -5[/tex]
Step 2: Find the solution to the second equation
[tex]5a < 17[/tex]
[tex]5a / 5 < 17 / 5[/tex]
[tex]a < 3.4[/tex]
Answer: [tex]-5 < a < 3.4[/tex]
The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 less than the mean. What is the third number?
Answer:
The third number (c) is 54.
The other ones are 70 and 56.
Step-by-step explanation:
We have 3 numbers, let's call them a, b and c.
We know that the sum of the three numbers is 180, thus:
[tex]a+b+c=180[/tex]
We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:
[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]
Finally the second number is 4 less than the mean:
[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]
Now we have our set of equations and we can proceed to solve them:
[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]
Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:
[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]
Now taking this last result into our first equation we have:
[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]
Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]
[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]
But we know that a =70, so we can substitute it in our last line:
[tex]124=a+c\\124=70+c\\54=c[/tex]
Now we just need to find b and we can use our first original equation to do this:
[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]
Dale can type 32 words in 8 minutes.
What is his rate in words per minute?
Answer:4 words per minute.
Step-by-step explanation:32 divided by 8 is 4.
what is the answer to 10% of 90?
Answer:
9
Step-by-step explanation:
Answer:
10% of 90 is 9
Step-by-step explanation:
10% of a number is like taking 1/10 of the original number.
Write the sentence as an equation: 78 multiplied by k is k
Answer:
78k = k
Step-by-step explanation:
How many significant digits are there in the number 0.0001001? A. 4 B. 6 C. 8 D. 10
Answer:
A. 4
Step-by-step explanation:
leading zeros not included and the sig figs start from the first 1 so 4 sig figs
Answer:
4
Step-by-step explanation:
What are the roots of the graph below?
Answer:
-2,-1,1,2
Step-by-step explanation:
The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.
The observed rabbit population on an island is given by the function p(t) =-4t^2+80t+1200, where t is the time, in years, since the teachers began observing the rabbits. According to this quadratic function, after how many years will the rabbit population reach its peak
Answer:
The rabbit population will reach its peak after 10 years.
Step-by-step explanation:
Suppose we have a quadratic function in the following format:
[tex]p(t) = at^{2} + bt + c[/tex]
The vertex of the function is the point:
[tex](t_{v}, p(t_{v})[/tex]
In which
[tex]t_{v} = -\frac{b}{2a}[/tex]
If a is negative, the vertex is a peak.
In this question:
[tex]p(t) = -4t^{2} + 80t + 1200[/tex]
So
[tex]a = -4, b = 80, c = 1200[/tex]
According to this quadratic function, after how many years will the rabbit population reach its peak
This is [tex]t_{v}[/tex]
[tex]t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10[/tex]
The rabbit population will reach its peak after 10 years.
6. Which expression is equivalent to the
algebraic expression below?
3(2x - 1)
A. + 2
B. X-1
C. -6x .- 3
D. -6x - 1
Course 3/4 Benchmark Test - End of Year
Answer:
C. -6x . -3
Step-by-step explanation:
3 x 2x = 6x
3 x -1 = -3
PLEASE HELP!!!
What is the volume of a cone with a radius of 3 and a height of 19?
A. 1083 units 3
B. 39.79 units 3
C. 179.07 units3
D. 537.21 units 3
Answer:
C
Step-by-step explanation:
V=1/3(3.14)(r)^2(h)V=1/3(3.14)(3)^2(19)V=57×3.14v=179.07unit 3The volume of a cone with a radius of 3 and a height of 19 is 179.07 cubic units.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the volume of a cone with a radius of 3 and a height of 19.
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
r=3 and h=19
We have to find the space in the cone with radius 3 and height 19.
The formula for volume of the cone is V=1/3πr²h
We have to plug in the r and h values in formula.
V=1/3×3.14×(3)²×19
=1/3×3.14×9×19
=536.94/3
=179.07 cubic units
Hence, the volume of a cone with a radius of 3 and a height of 19 is 179.07 cubic units.
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what is the greatest common factor of 32 ab cubed and 40 a squared
Answer:
GCF 32 and 40
Step-by-step explanation:
GCF of 40 and 32 : 40 mod 32 = 8 , GCF of 32 and 8 : 32 mod 8 = 0
Solve the equation in the interval from 510^\circ510 ∘ 510, degrees to 1050^\circ1050 ∘ 1050, degrees. Your answer should be in degrees. \sin(x)=0sin(x)=0
Answer:
540°, 720° and 900°Step-by-step explanation:
Given equation sin(x) = 0 lying between the interval 510°≤x≤1050°. To find the value of x within this range, we first find the value of from the equation as shown;
sin(x) = 0
taking the arcsin of both sides;
[tex]sin^{-1}(sinx) = sin^{-1} 0\\x = 0^{0}[/tex]
Since x is positive in the first and second quadrant, in the second quadrant, the value of x will be 180°-0° = 180°
Subsequent value of x equivalent to 0° will be addition of 180° to each previous value gotten. The values of x within the range given are as shown
x1 =0°
x2 = 180°-0° = 180(2nd quadrant)
x3 = 180°+180° = 360°
x4 = 360°+180° = 540°
x5 = 540°+180°=720°
x6 = 720°+180° = 900°
x7 = 900°+180° = 1080°
We can see from the values above that the values of x that falls within the given range are 540°, 720° and 900°. This gives the required answers in degrees.
Three triangles are shown on the centimetre grid. A, B, C. A\ Which triangle has the largest area? B\ Work out the area of this triangle. Give your answer a.S a decimal.
Answer:
A) The three triangles have the same area
B) 10 square units
Step-by-step explanation:
In the figure attached, the triangles are shown.
A) The three triangles have the same area because all have the same base and height (see figure)
B) Area of a triangle = (1/2)*base*height
Area of a triangle = (1/2)*4*5 = 10 square units
Answer:
A) = C
B) = 4.5 cm^2
Solve. 2(n - 1) + 4n = 2 ( 3n - 1 ) please help ASAP
Answer:
0
Step-by-step explanation:
2(n - 1) + 4n = 2 ( 3n - 1 )
2n - 2 + 4n = 6n - 2
6n - 2 = 6n - 2
6n - 6n = -2 + 2
0 = 0
Solve for the missing side
Answer:
c
Step-by-step explanation:
James has g amount of games. Samuel, his friend, has 4 times as many games as James. Write an algebraic expression to represent how many games James has and how many games Samuel has in terms of g.
Answer: The answer is given below
Step-by-step explanation:
From the question, we are told that James has a lot of games and his friend Samuel, has 4 times as many games as James.
So let the number of games that James has be denoted by g.
Since Samuel has 4 times as the number of games that James has, then Samuel's game will be
= 4 × g
= 4g
Therefore, the expression for James will be g and the expression for the number of games Samuel has is 4g.
Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
AN
x = 11.6
y = 11.6
= 11.6
y= 23.2
x = 18.3
y = 36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
Applying this theorem in the diagram, we have:
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall earlier we got: x=11.6
2y=4 X 11.6
2y=46.4
Divide both sides by 2
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
Which ordered pair represents the coordinates of point H
Answer:
is there a picture?
Step-by-step explanation:
Answer:
1-4 0-6
Step-by-step explanation:
Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals
Answer:
[tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]
Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.
[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]
Therefore:
[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]
Step 2: Change the division sign to multiplication by taking the reciprocal of 7
[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
i did it in khan academy
Which ratio is equivalent to 7:3 =
Answer:
i think 14:6 is correct but im not too sure
Answer:
[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]
n ∈ Z
[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]
4400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 22 years, to the nearest cent?
Answer:20000000
Step-by-step explanation:
A transcriptionist types 62 words per minute. Which statement is correct?
Answer:
C. The number of words, w, is the dependent variable
Which of the following statements is true for inverse functions ƒ(x) and g(x)?
Question 1 options:
A)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x
B)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0
C)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1
D)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)
Answer:
A
Step-by-step explanation:
Given: functions f(x) and g(x)
To choose: the correct option
Solution:
A function is a relation in which each element of the domain has a unique image in the co-domain.
Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.
Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.
Answer:
A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x
Step-by-step explanation:
I need help with this asap please! Any help will be appreciated!
Problem:
Determine the value of n such that ∜(〖64〗^(1/3) )=〖64〗^(1/n).
(I'm not sure if it makes sense because I just copied and pasted it here from my word document)
Answer:
n=3
Step-by-step explanation:
64^(1/3)
Note that the exponent 1/3 given stands for the third root of the integer.
64^(1/3) =4
Check: 4 x 4 x 4 = 64
(By comparison of 64^(1/3) to 64^(1/n) means n= 3)
∜(64^(1/3)) =∜(4) = 1.41421356
The real number is
All the roots are:
1.41421356
1.41421356i
−1.41421356
−1.41421356i
4 is not a perfect 4th power.
The surface area of a cone is 396π square inches. If the radius is 12 inches, find the slant height of the cone.
Answer:
Slant height = 33 inches
Step-by-step explanation:
r = 12 inches
Lateral Surface Area of cone = 396π square inches
πrl = 396π
π * 12 * l = 396π
[tex]l=\frac{396\pi }{12*\pi }\\[/tex]
l = 33 inches
In the following equations, t represents time in hours and m represents mass in mg Which of them (if any) would have a mass less than 50 mg after 2 hours? Select all that apply a. y = 100(0.5)^x b.y = 500(0.3)^x C. y = 80(2)^x d y = 10(1.2)^x e. y = 30(1.5)^x f. y = 80(0.2)^x g. y = 100(2)^x
Answer: A and C
Step-by-step explanation: Its right
Mariya was asked to solve StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 and then graph the solution. Her work is shown below. Step Mariya’s work StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 Step 1 (Negative 13) StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 (negative 13) Step 2 a greater-than-or-equal-to 208 Step 3 A number line going from 205 to 211. An open circle is at 208. Everything to the right of the circle is shaded. In which step, if any, did Mariya make a mistake in her work? Step 1 Step 2 Step 3 No mistake found
Answer:
the answer is step 3 because the circle on the number line is open.
pls make mine as the Brainliest answer that would really help
Mariya's mistake in solving the inequality and plotting the number line is in step 3
How to determine the mistake in the step?The inequality is given as:
[tex]\frac{a}{-13} \le -16[/tex]
Multiply both sides of the inequality by -13
[tex]a \ge 208[/tex]
The above means that the solution to the inequality are numbers greater than or equal to 208.
This means that we make use of a closed circle
In step 3 of Mariya's solution, the number line uses an open circle
Hence, Mariya's mistake is in step 3
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