Answer:
3 cm
Step-by-step explanation:
Formula :
Area = 1/2 x Base x HeightGiven :
Area = 7.5 cmBase = 5 cmSolving :
Height = 7.5/5 x 2Height = 3 cmWrite the symbolic expression for each of the following descriptions, then get rid of the radical and make them exponential expressions in fractional form.
11. The eighth root of fifty-seven to the sixth degree
12. The square root of Y to the fourteenth degree
13. The nth root of m to the o plus p degree.
14. The fifth root plus x of eighty-one to the third power.
15. The cube root of five squared.
Answer:
11. [tex]57^{6/8}[/tex]
12. [tex]Y^{14/2}[/tex]
13. [tex]m^{\frac{o+p}{n}}[/tex]
14. [tex]81^{\frac{3}{50+x}}[/tex]
15. [tex]5^{2/3}[/tex]
Step-by-step explanation:
When converting from radicals to rational exponents, there's a quick, easy rule to remember:
[tex]\sqrt[n]{x} =\sqrt[\text{index}]{\text{radicand}}[/tex] the exponent is [tex]\frac{\text{power}}{\text{root}}[/tex][tex]\sqrt[n]{x} = x^{1/n}[/tex]The "power" represents the exponent of the radical/radicand, while the "root" represents the index.
11. the eight root of fifty-seven to the sixth degree.
Write the expression in radical form: [tex]\sqrt[8]{57^6}[/tex]Rewrite using the exponent rule (power over root): [tex]57^{6/8}[/tex]12. the square root of Y to the fourteenth power.
Write the expression in radical form: [tex]\sqrt[2]{Y^{14}}[/tex]Rewrite using the exponent rule (power over root): [tex]Y^{14/2}[/tex]13. the nth root of m to the o plus p degree.
Write the expression in radical form: [tex]\sqrt[n]{m^{o+p}}[/tex]Rewrite using the exponent rule (power over root): [tex]m^{\frac{o+p}{n}}[/tex]14. The fifth root plus x of eighty-one to the third power.
Write the expression in radical form: [tex]\sqrt[5+x]{81^{3}}[/tex]Rewrite using the exponent rule (power over root): [tex]81^{\frac{3}{50+x}}[/tex]15. The cube root of five squared.
Write the expression in radical form: [tex]\sqrt[3]{5^{2}}[/tex]Rewrite using the exponent rule (power over root): [tex]5^{2/3}[/tex]Ted's rectangular corn field has an area of 2,280 square feet. What is the length of the field if it's width measures 28.5 feet?
Answer:
80 feet
Step-by-step explanation:
Area = length x width
We need to find length
[tex]2280 = 28.5l[/tex]
divide both sides by 28.5
[tex]l = 80[/tex]
Will a pencil of length 19cm fit in the beaker without poking out of the top?
Answer:
Pencil will poke out everytime, no matter if it lays diagonally, or strictly vertically, because pencil's length is greater than the height and diagonal of the beaker
Please help me, I need it asap
Answer:
70°Step-by-step explanation:
We can see that
111 and A are of same value as vertical anglesThe angle formed by intersecting chords measures the half the sum of intercepted arcs.
[tex](152 + ?)/2=111 \\152 + ? = 2*111\\152 + ? = 222\\? = 222 - 152\\? = 70[/tex]What is the sum of the fractions?
Answer:
-3/4
Step-by-step explanation:
Problem
-1 1/4 + 1/2
Comment
This combined with the number line is to help you visualize how fractions can be represented and how you find their sum.
The rule is move left when the number is minus. Move right when the number is plus.
so -1 1/4 = (4*-1 -1 )/4 = - 5/4
Start at 0 and move left. The number beside - 1 on the number line is -5/4 Put an arrowhead on the line you just drew. The arrowhead should be just about -5/4.
Each mark on the number line is 1/4 away from the next quarter on the number line.
1/2 = 2/4
So since 1/2 is plus, you move right. You need 2 marks right of -5/4. You will find that is at -3/4
A printer can print 1200 pages in 30 minutes. How long will it take for the printer to print 520 pages?
Find the area of the figure. (Sides meet at right angles.) 3yd 5yd 5yd 8yd 8yd
Answer:
39 yd²
Step-by-step explanation:
Two rectangles can be formed here.
One smaller of the dimensions 5 × 3 yd
And another of 8 × 3 yd.
Total area = 5×3 + 8×3 (area of rect. = l×b)
= 15 + 24
= 39 yd²
Which is a property of polygons?
A polygon has a maximum of 100 sides
A polygon is a solid figure
A polygon is a open figure
A polygon is a plane figure
Answer:
A polygon is a plane figure.
Step-by-step explanation:
This means it is a 2 dimensional shape that lies flat, it has length and width, it has area but no thickness.
There is no max number of sides, so the first answer is not right.
In math, saying it is solid means its 3-d, so that is not right (it's only 2-d)
Saying its open, means that somewhere on the shape, the sides don't meet up at a corner, like an animal corral with the gate left open. So that's not right. Part of the definition of a polygon is that it is closed.
It is a 2-d shape with straight sides and closed, it lies flat in a plane. The last answer is correct.
Answer:
A polygon is a plane figure.
Factor the polynomial completely. 14a^4 b^2 - 21a^3 b^2
Answer: [tex]b^{2}(1-21a^{3})[/tex]
Step-by-step explanation:
[tex]b^{2} - 21a^{3} b^{2} \\b^{2}(1-21a^{3})[/tex]
The average score for the statistics exam was a 75 with a standard deviation of 8. A student was told that they received a
score 1.45 standard deviations below the mean. What was their score?
A mean is an arithmetic average of a set of observations. The score of the student is equal to 63.4.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given the mean score was 75, while the standard deviation was 8. Therefore, the score of the student is,
Scre of the student = μ - 1.45σ = 75 - 1.45(8) = 63.4
Hence, the score of the student is equal to 63.4.
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The square root of X+6= X-6
Answer:
x = 10
Step-by-step explanation:
I assume you mean
sqrt(x + 6) = x - 6
let's square the whole equation :
x + 6 = (x - 6)² = x² - 12x + 36
x² - 13x + 30 = 0
the general solution to a quadratic equation is
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -13
c = 30
x = (13 ±sqrt(13² - 4×1×30))/(2×1) =
= (13 ±sqrt(169 - 120))/2 = (13 ±sqrt(49))/2 =
= (13 ± 7)/2
x1 = (13 + 7)/2 = 20/2 = 10
x2 = (13 - 7)/2 = 6/2 = 3
for x = 10 we get for the original equation
sqrt(10+6) = 10-6 = 4
sqrt(16) = 4
4 = 4
so, x = 10 is a valid solution.
for x = 3 we get
sqrt(3 + 6) = 3 - 6 = -3
sqrt(9) = -3
3 = -3
so, this (x = 3) counts as an invalid solution, because most teachers nowadays expect the square root symbol operation to deliver only the positive solution.
although a square root is actually representing both : the positive AND the negative solution, because the negative number multiplied by itself is the same result as the positive number multiplied by itself.
so, actually
sqrt(9) = -3
± 3 = -3
is still correct and valid. but not what your teacher expects most likely.
in my younger days only the square root of a negative number counted as invalid operation (in the space of Real numbers, of course), and therefore only a solution leading to a square root of a negative number was an invalid solution.
Find the measure of the arc or central angle indicated. Assume that the lines which appear to be diameters are actual diameters.
Answer:
It would most likely be 65
Step-by-step explanation:
180 - 115 = 65
Answer:
115°
Step-by-step explanation:
The measure of an arc is the measure of its central angle.
Since the central angle is 115°, its intercepted arc (which is marked with the questionmark) is also going to be 115°.
NEED THIS TOO GRADUATE PLS HELP
5x - 3y = 16
4x - 2y = 14
The system when solved is
(-3, -13)
(-5, 17)
(5, -3)
(5, 3)
165 divided by 11 =
154 divided by 14 =
306 divided by 17 =
322 divided by 14 =
Answer:
165 divided by 11 = 15
154 divided by 14 = 11
306 divided by 17 = 18
322 divided by 14 = 23
Determine the intercepts of the line. Do not round your answers. y-6=4(x+5)y−6=4(x+5)
NO LINKS!!! Please help me with this graph. Part 6a
[tex]\large{\boxed{ \ g(x) = -\dfrac{7}{4} | x -5| +0 \ }}[/tex]
Explanation:Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (5, 0)
Take two points : (5, 0), (9, -7)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-7-0}{9-5} \ = \ -\dfrac{7}{4}[/tex]
Join the variables together: [tex]\bf g(x) = - \dfrac{7}{4} | x -5| +0[/tex]
Answer:
[tex]f(x) = -\dfrac{7}{4}|x-5|+0 [/tex]
Step-by-step explanation:
The function in the coordinate Plane is an absolute value function . Consider the parent function
[tex]f(x) = |x| [/tex]
Recall the properties of transformation
f(x+a), If a<0 ⇒ It moves to righta.f(x),If a<0 ⇒ It flips upsidedownf(x)+a,If a>0 ⇒ It moves up & a<0 It moves downFrom the inspection of the graph,It has moved to right by 5 units, Thus
[tex]f(x - 5) = |x - 5| [/tex]
Apparently, It has neither shifted up or down, hence
[tex]f(x - 5) +0= |x - 5|+0 [/tex]
Looking at the graph, we can see that it has been reflected vertically. It tells us we have to multiply it by a negative constant
[tex] -a f(x - 5) +0= -a |x - 5| +0[/tex]
take (9,7) to figure out a.
set x to 9 and the LHS expression to 7[tex] -a | 9- 5| =7[/tex]
Solving the equation yields:
[tex] \boxed{a = - \frac{7}{4} }[/tex]
hence, our function is [tex]\boxed{f(x) = -\dfrac{7}{4}|x-5|+0} [/tex]
URGENT PLEASE ANSWER. PHOTO OF PROBLEM ATTACHED. BRAINLIEST TO FIRST CORRECT ANSWER.
Answer:
27.23 inches
Step-by-step explanation:
question wants circumference over 2π/3 radians
2π/3 times 180/π = 120 degrees
120 is 1/3 of 360
so question wants 1/3 of the circumference
circumference is π times diameter
π times 26 = 81.6814089933
81.6814089933 divided by 3 =
27.2271363311 =
27.23
Let U=(1,2,3,4,5,6,7,8,9,10) Let A = {2,4,6,8,10}. Let B=(1,3,4,6,9} Determine (A - B)'.
A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.
Since A ∩ B = {4, 6}, we have
A - B = {2, 8, 10}
Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.
(A - B)' = {1, 3, 4, 5, 6, 7, 9}
A population about which we want to get some information is called?
A population about which we want to get some information is called the sample.
What is a sample in a population study?This is a portion of a population that is known to contain several parts of the population. The information that is gotten from the sample would be used to draw conclusion about the entire information.
Therefore from the definition above the answer to the question is the population sample.
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) Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national car rental company that charges a $15 daily fee plus $0.20 per mile. He also finds a local car rental company that charges a $14 daily fee plus $0.30 per mile. Which equation below represents a linear model for the cost of a rental from the national car rental?
*
1 point
Answer:
Step-by-step explanation:
National car rental equation is
C = 14d + 0.20m
- where C= total cost, d = the number of days and m = the total number of miles driven.
Which statement best describes ratio
if a (+)(+) makes a positive, (-)(-) make a positive (+)(-) make a negative why is -10+7=-3 but -8-3=-11 shouldn't this positive? can someone explain when these terms apply?
Step-by-step explanation:
-10+7=-3 because 10 i greater and (-)(+)=-
-8-3=-11 because the greatest number is in negative form that's why its not in positive form
Hey there!
Guide:
Negative & negative = positive
Positive & positive = positive
Negative & positive = negative
Positive & negative = negative
For -10 + 7 = -3 it doesn’t give you a POSITIVE because you’re working with a negative (-10) and a positive (7), which it results out to be a negative number (-3)
Whereas, -8 - 3 = -11, it doesn’t also give you a positive because you’re working with a negative (-8) and a somewhat positive (3 or -3 it depends how you look at the equation), it gave you a negative result (-11).
KEEP THAT GUIDE IN MIND WHEN YOURE WORKING WITH INTEGERS, IT MAY HELP ON THE LONG WRONG! :)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve 2x - 8 ≥ 22 - 4x.
A. x ≥ 5
B. x ≥ -15
C. x ≤ 5
D. x ≤ -15
Answer:
A. x ≥ 5
Step-by-step explanation:
Given :
2x - 8 ≥ 22 - 4x
Add 8 to each side :
2x - 8 + 8 ≥ 22 - 4x + 8
2x ≥ 30 - 4x
Add 4x to each side :
2x + 4x ≥ 30 - 4x + 4x
6x ≥ 30
Divide both sides by 6 :
1/6 x 6x ≥ 1/6 x 30
x ≥ 5
PLEASE HELP ME IM SO CONFUSED ON THIS QUESTION??
Answer:
C.
Step-by-step explanation:
7 7/8 rounds up to 8
2 1/10 rounds down to 2
8-3(2)=2
8 - 6 = 2
he would have about 2 pounds left
so the three pounds left is not reasonable
Workers Inc. just bought 15 boxes of pens to put in their storage room for employees to use as needed. Each box contains 40 pens. If each of the 26 employees working for Workers Inc. takes 4 pens when they are first brought into the office, how many pens
will be left in the storage room?
A. 230
B. 596
C. 574
D. 496
Answer:
D. 496
Step-by-step explanation:
Start by finding original number of pens:
15 boxes x 40 pens per box = 600 pens in all
find number of pens taken:
26 workers x 4 pens each = 104 pens taken
Find number of pens left:
600 original - 104 taken = 496 left
Answer: D. 496
Answer:
D
Step-by-step explanation:
15x40=600
26x4=104
600-104=496
Class A has 15 pupils and class B has 29 pupils. Both classes sit the same maths test. The mean score for class A is 35. The mean score for class B is 36. What is the mean score (rounded to 2 DP) in the maths test across both classes?
Answer:
35.66
Step-by-step explanation:
Don't work with the mean given at first
1. Multiply the mean of class A by the number of students in class A
35 times 15=525
2. Multiply the mean of class B by the number of pupils in class B
36 times 29=1044
3. Add the answers you got
1044+525
4.Add the pupils of both classes
29+15=44
5.Then divide the total grades and pupils
1569/44 =35.659
6 Then round off
=35.66
1. If the line 4x - 9y = 0 is tangent in the first quadrant to the graph of y = x³ + c, what is the value of c? 2. Find a formula for the nth derivative of y=+ 1-x 3. Let f(x)=2. Then find a) Critical number(s) of f b) Monotonic intervals (increasing and decreasing intervals) of f c) The intervals on which f(x) is concave up and concave down d) Inflection points of f e) Sketch the graph of f(x) 4. Evaluate f (*¹-2x+¹) dx. please do it
Answer:
Acount is a great place to work for a loved ones like you a few months
The local machine shop hired John Dalton as a press operator his annual salary is $34,268 if John is paid weekly what is the amount of his weekly salary
Answer:
$659 weekly
Step-by-step explanation:
John Dalton earns $34,268 annually (yearly)
We want to find his weekly rate if he is paid weekly.
To do so we divide his annual salary by the number of weeks in a year (52)
So weekly rate = 34,268 / 52 = 659
The product of a number and 7 less than the number is 260. Find the numbers.
Answer: 20,-13
Step-by-step explanation:
We can rewrite the problem as an equation. This equation is x(x-7)=260 (x being the mystery number). We can simply this into x^2 -7x=260. We can then rewrite this as x^2 -7x -260=0. We need to find the roots of this quadratic, which are -13 and 20. You can find this by factoring the quadratic.
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair. (Remember the slope-intercept form is y = m x + b)
y = StartFraction 5 Over 6 EndFraction + StartFraction x Over 3 EndFraction
a.
slope = Negative StartFraction 5 Over 6 EndFraction; y-intercept (0, One-third)
b.
slope = Five-sixths; y-intercept (0, One-third)
c.
slope = Negative one-third; y-intercept (0, Five-sixths)
d.
slope = One-third; y-intercept (0, Five-sixths)
The slope of the given linear equation is 1/3 and the y-intercept will be 5/6. Then the correct option is D.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.
The linear equation is given below.
[tex]\rm y =\dfrac{5}{6} + \dfrac{x}{3}[/tex]
Then the slope of the equation will be 1/3.
And the y-intercept will be 5/6.
More about the slope link is given below.
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Answer:
d
Step-by-step explanation: