Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
PLS HELP MEEEEEEEEEE :(
Answer: c
Step-by-step explanation:
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
What is f(-4) for the function f(x) =-3x-8
Answer:
f(-4) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -3x - 8
f(-4) is x = -4
Step 2: Evaluate
Substitute in x: f(-4) = -3(-4) - 8Multiply: f(-4) = 12 - 8Subtract: f(-4) = 4Answer:
the correct answer is:
-3 × -4 -8 = 12 - 8 = 4
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How manyy blueberry muffins did antonio bake?
Answer: he baked 69 muffins
Step-by-step explanation:
What would the exponential growth model be for the given situation?
100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported
Answer:
2sqrt5
Step-by-step explanation:
We know that the shortest distance would be with drawing a perpendicular line through BC and A.
BC is y = -2x+1
Therefore a perpendicular line should have slope 1/2
y = 1/2x + b
-3 = 1/2*-3 + b
b = -3/2
y = -2x+1
y = 1/2x - 3/2
-2x+1 = 1/2x - 3/2
-4x+2 = x - 3
5 = 5x
x = 1
y = 1
now of course the graph shows that already, but we're just proving that again
The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5
Answer:
Solution given:
AB=
[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]
[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units
[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]
so shortest distance=AC=4.5units
Which shows the following expression after the negative exponents have been eliminated?
A^3 b^-2/ab^-4
A=/0, b=/0
Answer:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
[tex]a\ne 0; b \ne 0[/tex]
Required
Evaluate
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
Apply the following law of indices:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]
Remove brackets
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Answer:
D. a^3 b^4 / ab^2
Step-by-step explanation:
Find the equation of the exponential function represented by the table
below:
2
y
0
1
1
2
2
4
3
8.
9514 1404 393
Answer:
y = 2^x
Step-by-step explanation:
The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.
The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...
y = 2^x
3 rays have common vertex. All the angles, which are made by neighbor rays( I think they mean adjacent rays), can be:
a)acute
b)obtuse
c)right
d)none of it.
btw I checked answer, but I still didn't understand, so I need explanation.
Answer:
[tex]b)\ Obtuse[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that:\\There\ are\ three\ rays.\\Lets\ mark\ them\ Ray\ OP, OQ,\ and\ OR\ with\ their\ common\ Vertex\ O.\\\\Now,\\We\ know\ that\ the\ sum\ of\ all\ angles\ around\ a\ point[or\ here\ Vertex\ O]\\ should\ be\ equal\ to\ 360.\\Here,\\\\Lets\ consider\ each\ case\ sepearately.\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ acute\ then:\\\angle POR, \angle ROQ, \angle POQ<90\\If\ we\ add\ them\ together,[/tex]
[tex]\angle POR+ \angle ROQ+ \angle POQ<90+90+90<270[/tex]
[tex]But\ here\ the\ sum\ of\ the\ angles\ are\ less\ than\ 270,\ but\ the\ sum\ should\\ instead\ be\ 360.\\Hence,\ the\ angles\ formed\ by\ the\ rays\ are\ NOT\ acute.[/tex]
[tex]Similarly,\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ right\ then:\\\angle POR, \angle ROQ, \angle POQ =90\\When\ we\ add\ them\ again:\\\angle POR+ \angle ROQ+ \angle POQ=90+90+90=270\\But\ again\ the\ sum\ here\ is\ equal\ to\ 270,\ but\ instead\ the\ sum\ had\ to\\ be\ equal\ to\ 360.\\Hence,\\The\ angles\ formed\ are\ NOT\ right.[/tex]
[tex]Lets\ consider\ the\ Last\ Case,\\If\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ\ are\ obtuse,\\\angle POR, \angle ROQ, \angle POQ>90\\When\ we\ add\ them:\\\angle POR+ \angle ROQ+ \angle POQ>(90+90+90)>270\\Here,\\The\ angles\ formed\ are\ greater\ than\ 270.\ As\ 360>270,\ the\ angles\ ARE\\ obtuse.[/tex]
Can y’all Plz help me ??(Show ya work) It Says What Value of X makes this equation true
Answer:
[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]
what is it plz ????????????
Sal earns $12 per hour. His job offers him a raise, a 5% increase per hour.
After the raise, how much will Sal earn per hour?
Answer:
12.60.
Step-by-step explanation:
12.00 × 5%=.6
,6 + 12.00= 12.60
Urgent please help..
what three ratios are equivalent to 11: 1
Answer:
33/3
55/5
77/7
When these are simplified, they are equal to 11/1
SOMEONE PLEASE HELP!!!
Figure A has a perimeter of 24 inches. Figure B has a perimeter of 36 inches and one of its side lengths is 12 inches. Find the missing corresponding side length.
Answer:
The corresponding side length is 8 inches
Step-by-step explanation:
Similar Shapes
Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.
We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.
If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.
The corresponding side length is 8 inches
are 9x+15 and -9x-15 equivalent expressions
Answer:
Step-by-step explanation:
Yes!
BRAIN TWISTER/6TH GRADE MATH
Create (1) mathematical problem or mathematical sentence where the answer is "46". For the variables, use t = 3 and h= 5 or t and h for equations.
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
click to see the question
A and C is the answer
hope you'll learn from your teacher how?
someone please help
f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]
9514 1404 393
Answer:
f(g(x)) = 50x² +140x +93
Step-by-step explanation:
Put the function argument in place of x and simplify.
f(g(x)) = f(5x+7) = 2(5x+7)² -5
= 2(25x² +70x +49) -5
f(g(x)) = 50x² +140x +93
_____
We took advantage of the knowledge that ...
(a + b)² = a² +2ab +b² . . . . . where a=5x and b=7
Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
[tex]3x ^{3} - {4}^{2} - 23x + 10[/tex]
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
To complete a planter box, mr. Michaels will purchase cedar boards that are 2 inches wide and 8 inches long. He will need to cut down the length of the boards into pieces that are 1 1/3 inches long. How many pieces can mr. Michael cit from each 8 inch board so he can determine how many he will need to purchase?
Answer:
6 pieces
Step-by-step explanation:
Since Mr. Michaels need to cut down the 8 inch long boards into pieces that are 1¹/₃ inches long, the number of pieces he can cut out from the 8 inch long board that are 1¹/₃ inches long is 8 ÷ 1¹/₃ = 8 ÷ 4/3
= 8 × 3/4
= 2 × 3
= 6
So, Mr. Michaels can cut 6 pieces that are 1¹/₃ inches long from the 2 inches wide and 8 inches long board.
Find the measure of the numbered angle
Answer:
1 = 50°, 2 = 130°, 3 = 50°, 4 = 130°, 5 = 40°, 6 = 140°, 7 = 90°, 8 = 140°
Step-by-step explanation:
The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.
Angle 1: 180 - 90 - 40 = 50°
Angle 2: 180 - 50 = 130°
Angle 3: 180 - 130 = 50°
Angle 4: 180 - 50 = 130°
Angle 5: 180 - 90 - 50 = 40°
Angle 6: 180 - 40 = 140°
Angle 7: 180 - 90 = 90°
Angle 8: 180 - 40 = 140°
It's a little complicated, but I hope this helps!
The side length of aDavid is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?
the mean of the population
the mean of the sample
the standard deviation of the population
the significance level of the testn equilateral triangle is 6 cm. What is the height of the triangle?
Answer: D) the significance level of the test
=======================================================
Explanation:
The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.
The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.
If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".
Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).
The height of the equilateral triangle is 3√3 cm.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.
The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.
By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).
However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).
Therefore,
The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.
Now,
The height of an equilateral triangle can be found using the formula:
height = (side length / 2) x √3
The side length = 6 cm
So,
height = (6 / 2) x √3
= 3√3 cm
Therefore,
The height of the equilateral triangle is 3√3 cm.
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
#SPJ7
mr martin has 36 calculators in a box. The ratio of the ordinary calculators to the scientific 5:1. How many of each calculator does he have
Answer:
180 calculators.
Step-by-step explanation:
She has 180 calculators because if you were to un - simplify 5:1 you would get 180:5 and you would use the first number. So, you have 180 calculators.
Sorry if this is wrong I tried my best.