Answer:
[tex] 4y^3 [/tex]
Step-by-step explanation:
[tex] \dfrac{4}{y^{-3}} = [/tex]
[tex] = 4 \times y^3 [/tex]
[tex] = 4y^3 [/tex]
Answer:
4y^3
Step-by-step explanation:
find the value of x in the isoscleles triangle sqrt45 and altitude 3
Answer:
[tex]c.\hspace{3}x=12[/tex]
Step-by-step explanation:
Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.
You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached. As you can see:
[tex]x=2a[/tex]
And we can find a easily using pythagorean theorem:
[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]
Solving for a:
[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]
[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]
Therefore:
[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]
After substituting, what is the first step when evaluating x + 3 x minus 4.2 when x = 5?
Answer:
Multiply the 3*5
Step-by-step explanation:
x+3x -4.2
Substitute x=5
5 + 3*5 -4.2
PEMDAS states multiply first
Multiply the 3*5
5 + 15 -4.2
Answer:
a!
Step-by-step explanation:
yw
A recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?
Answer:
3 and 5/12
Step-by-step explanation:
To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.
Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.
The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
Fractions are of two types:
Proper fraction: Where numerator < denominator. Improper fraction: Where numerator > denominator. These fractions are written in mixed form also.How to solve the question?In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.
We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.
We suppose the quantity of flour required to be x cups.
We know the quantity of sugar required = One-fourth cup.
This can be written as a fraction = 1/4 cup.
We know the total sugar and flour is three and two-thirds cups.
This can be written as a fraction = 3 2/3 cup = 11/3 cup.
Now, we know quantity of sugar + quantity of flour = total quantity
or, 1/4 + x = 11/3
or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.
Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
Learn more about fractions at
https://brainly.com/question/11562149
#SPJ2
Helppp!!!! please!!!
Answer:
d. 15 square yard
Step-by-step explanation:
[tex]area \: of \: shape \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 3 \\ \\ = \frac{1}{2} \times 30 \\ \\ = 15 \: {yd}^{2} [/tex]
Please help! Having a hard time with these, appreciated if you do :)
Answer:
Hey there!
Here's the first question.
Let l be the length, and w be the width.
Thus, we have 5w=l+4, or 5w-4=l.
The perimeter is 76, so 2l+2w=76.
We see that l=5w-4, so substitute 5w-4 for l.
2(5w-4)+2w=76
10w-8+2w=76
12w-8=76
12w=84
w=7
Thus, the length is 5(7)-4, or 31.
Option C is correct.
Here is the second question)
Let x be the larger angle and y be the smaller angle.
Supplementary angles add to 180 degrees.
x+y=180
x=3y
Similar to the first problem change all the x's into 3y's
3y+y=180
4y=180
y=45
x=135
So the two angles are 45 and 135 and they add to 180 degrees (Choice D)
Hope this helps :)
The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answer:
8 is the difference, and 19 and 11 are the numbers. Hope this helped!
Answer: The difference is 8.
Step-by-step explanation:
We will let l represent the larger number s represent the smaller number.
so we know that L + S =30
Also 2L - 3S = 5 shows the relationship between the numbers.
Now we have two equations.
L + S =30
2L - 3S = 5 solve using any method.
L + S =30 solve for L and substitute it into the second equation.
L + S = 30
-S -S
L = 30 -S
2(30-s) - 3s = 5 Distribute
60 - 2s - 3s = 5 combine like terms
60 -5s = 5
-60 -60
-5s = -55
s = 11
We know the smaller number is 11 so to find the larger number we will subtract 11 from 30.
30 -11 = 19
The larger number is 19
so To find the difference we will subtract 11 from 19.
19 -11 = 8
Can somebody explain this to me and the answer I don’t get this at all
Answer:
a)~5572.45 (cm^3)
b)~1519.76 (cm^2)
Step-by-step explanation:
A volleyball has a diameter d = 22 cm
=> Its radius r is r = d/2 = 22/2 = 11 cm
a) Its volume is calculated by:
V = (4/3) x pi x r^3
with p = ~3.14 and r = 11 cm
=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)
b) Its surface area is calculated by:
A = 4 x pi x r^2
with p = ~3.14 and r = 11 cm
=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)
12
y= x2 + x-2
x+ y=1
If (x, y) is a solution of the system of equations
above, which of the following is a possible value of
xy?
A) 7
B 1
C) -1
D) -12
Answer:
D,xy=-12
Step-by-step explanation:
y=x²+x-2
x+y=1
or x+x²+x-2=1
x²+2x-3=0
x²+3x-x-3=0
x(x+3)-1(x+3)=0
(x+3)(x-1)=0
either x=-3
or x=1
when x=-3
x+y=1
-3+y=1
y=1+3=4
one solution is (-3,4)
xy=-3×4=-12
if x=1
1+y=1
y=0
second solution is (1,0)
xy=1×0=0
A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Answer:
d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Step-by-step explanation:
The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc
As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated
Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased
Therefore the option d is correct
Answer:
D
Step-by-step explanation:
I got it right on the test.
Trust me
Hi! I need help with my maths the question is 69x420=? (i dont have calculator)
Answer:
69×420=28980
just use calculator
Step-by-step explanation:
i hope this will help you :)
Answer:
28,980
Step-by-step explanation:
Abby earns $7 per hour working as a cashier at a cafe. She earned $ blank in a week in which she worked 28 hours. She earned $ blank in a month which she worked 112 hours.
Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.
196$ and 784$ are your answers
Step-by-step explanation:
Find the distance between 1, 4) and (4,0).
Please helpppp meee
Answer:
5
Step-by-step explanation:
Distance formula
[tex]\sqrt{ (0-4)^2 + (4-1)^2}\\\sqrt{16 + 9)}\\ \sqrt{25\\[/tex]
What is the median of the data set?
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. f(x) = 1 - x²
Step-by-step explanation:
Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².
Answer:
B. F(x) = 1 - x^2
Step-by-step explanation:
The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.
F(x) = G(x) - 3
F(x) = 4 - x^2 - 3
F(x) = 1 - x^2
please simplify this
Answer:
root 10
Step-by-step explanation:
Given \qquad m \angle AOC = 104^\circm∠AOC=104 ∘ m, angle, A, O, C, equals, 104, degrees \qquad m \angle AOB = 7x + 30^\circm∠AOB=7x+30 ∘ m, angle, A, O, B, equals, 7, x, plus, 30, degrees \qquad m \angle BOC = 9x + 42^\circm∠BOC=9x+42 ∘ m, angle, B, O, C, equals, 9, x, plus, 42, degrees Find m\angle BOCm∠BOCm, angle, B, O, C:
Answer:
∠BOC = 60°
Step-by-step explanation:
Given the following angles.
∠AOC=104°
∠AOB = (7x + 30)°
∠BOC= (9x + 42)°
Since all the angles have a common point at O, it can be inferred that;
∠AOC = ∠AOB + ∠BOC
104° = (7x + 30)° + (9x + 42)°
104° = 16x+72
16x = 104-72
16x = 32
x = 32/16
x = 2°
To get ∠BOC:
Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC
∠BOC = 9(2) + 42
∠BOC = 18+42
∠BOC = 60°
Which triangle correctly shows that the side opposite the larger angle is the larger side?
Answer:
The answer is C
I turned it in and it was correct
Step-by-step explanation:
Please mark brainliest
Answer:
c
Step-by-step explanation:
Which statement is true about the ranges for the box plots? A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix.
*The box plots are shown in the attachment
Answer/Step-by-step explanation:
Range is the difference between the largest value of a data set and the lowest value in that data set.
In a box plot, the highest value is located at the end of the whisker to our right, while the lowest value is located at the beginning of the whisker of the box plot at our left.
For Crackers, the range = 100-70 = 30
For Cookies, the range = 115-70 = 45
Therefore, we can conclude that the range value of the number of calories in crackers (30) is less/lower than that of cookies (45).
Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
our boss is a biologist who needs wood samples from long-leaf pine trees with a fungal disease which is only visible under a microscope, and she sends you on an assignment to collect the samples. She wants at least 50 different diseased samples. She tells you that approximately 28% of long-leaf pine trees currently have the fungal disease. If you sample 160 long-leaf pine trees at random, what is the probability you’ll have at least 50 diseased samples to return to your boss? (Use the normal approximation to calculate this probability and chose the closest answer to the question.)
Answer:
Step-by-step explanation:
In this scenario, the probability of success, p is 28% = 28/100 = 0.28
Number of samples, n = 160
Probability of failure, q = 1 - p = 1 - 0.28 = 0.72
Mean,µ = np = 0.28 × 160 = 44.8
Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68
Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as
P(x ≥ 50) = 1 - P(x < 50)
For P(x < 50)
z = (50 - 44.8)/5.68 = 0.91
Looking at the normal distribution table, the probability corresponding to the z score is 0.819
Therefore,
P(x ≥ 50) = 1 - 0.819 = 0.181
The Egyptians used a ramp
that could hold 1,000 pounds.
If 6 people got on the ramp
and they weighed 780 pounds
total. What percentage of the
ramp's weight capacity is still
available?
Answer:
22%
Step-by-step explanation:
Well if the ramp can hold 1000lbs and 6 people all weight 780 in total (they must be really fat lol, but anyway) we can make the following fraction.
780/1000
So now we simplify the fraction to 39/50.
And do 39 / 50 = .78
To make that a percent we move the decimal point 2 times to the right so 78% of the ramp‘s capacity is being used meaning there is stil 22% capacity left.
Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.
Answer:
Check it below
Step-by-step explanation:
Hello!
By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.
In the triangle PQR::
Use a compass, open its legs with a little more than half of [tex]\overline{PQ}[/tex] . Place the needle point in the vertex of P. Mark!Do the same, placing the needle point in Q, following [tex]\overline{QP}[/tex] direction. MarkRepeat it with the other triangle's line segment, namely:[tex]\overline {QR},\:\overline{PR}[/tex]
4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.
5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.
Answer:
edg but few yrs later
Step-by-step explanation:
The function f(x) = 4e* when evaluated for f(2) is:
Answer:
The function f(x) = 4e* when evaluated for f(2) is:
Step-by-step explanation:
Its slope must be m= f'(0).
f'(x) = 8e2x ⇒ m = f'(0) = 8
y - y1 = m(x - x1)
m = 8
y1 = 10
x1 = 0
cause
please help i will give you brainliest if you give me the right answer and don't copy from online or another answer source from on here!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A horror movie ticket costs $6.50 per child. Which equation can be used to calculate the horror ticket price, M, for n children?
Answer:
The answer would be M = 6.5n because 6.50 per child would be 6.50 * n which can be simplified to 6.50n or 6.5n.
Answer:
correct answer is above :>
Step-by-step explanation:
Graphically, a point is a solution to a system of two inequalities if and only if the point
o lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality
O lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality
O lies in the shaded regions of both the top and bottom inequalities
x does not lie in the shaded region of the top or bottom inequalities.
Intro
Done
Answer:
Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
The point of solution for BOTH systems of inequalities must work for both equations. Therefore, the point has to lie in both top and bottom shaded regions or it won't work for both, but just one.
Answer:
C: Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
Hope this helps!
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached
In the 5th year
Step-by-step explanation:For the first year, the salary is 1.2million = 1,200,000
For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000
.
.
.
For the last year, the salary is 1.5million = 1,500,000
This gives the following sequence...
1,200,000 1,275,000 . . . 1,500,000
This follows an arithmetic progression with an increment of 75,000.
Remember that,
The last term, L, of an arithmetic progression is given by;
L = a + (n - 1)d ---------------(i)
Where;
a = first term of the sequence
n = number of terms in the sequence (which is the number of years)
d = the common difference or increment of the sequence
From the given sequence,
a = 1,200,000 [which is the first salary]
d = 75,000 [which is the increment in salary]
L = 1,500,000 [which is the maximum salary]
Substitute these values into equation (i) as follows;
1,500,000 = 1,200,00 + (n - 1) 75,000
1,500,000 - 1,200,000 = 75,000(n-1)
300,000 = 75,000(n - 1)
[tex]\frac{300,000}{75,000} = n - 1[/tex]
4 = n - 1
n = 5
Therefore, in the 5th year the maximum salary will be reached.
mr Kobe has 30 students in his class ha has twice as many girls and boys what are the ratios to total students
Answer:
Step-by-step explanation:
2:3 is the correct answer
I hope this helps you
NEED ANSWER ASAP! plz someone answer ASAP
Answer:
The value of c is 2
Step-by-step explanation:
p(x) = cx³ - 15x - 68
Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.
x - 4 = 0
x = 4
Substitute it into the above expression
That's
c(4)³ - 15(4) - 68 = 0
64c - 60 - 68 = 0
64c = 60 + 68
64c = 128
Divide both sides by 64
c = 2
Hope this helps you
Answer:
h
Step-by-step explanation:
b
expand the following 4 (x - 1)
Answer:
4x - 4
Step-by-step explanation:
4 × x = 4x
4 × -1 = -4
4x - 4
Answer:
4x-4
Step-by-step explanation:
4(x-1) 4*x-1*44x-4How do I solve this?
Answer:
See below.
Step-by-step explanation:
[tex](5x^2y^3)^0\div(-2x^{-3}y^5)^{-2}[/tex]
First, note that everything to the zeroth power is 1. Thus:
[tex]=1\div(-2x^{-3}y^5)^{-2}=\frac{1}{(-2x^{-3}y^5)^{-2}}[/tex]
Distribute using Power of a Power property:
[tex]=\frac{1}{(-2)^{-2}(x^{-3})^{-2}(y^5)^{-2})}[/tex]
Make the exponents positive by putting them to the numerator:
[tex]=\frac{(-2)^2(x^{-3})^2(y^5)^2}{1}[/tex]
[tex]=\frac{4x^{-6}y^{10}}{1}[/tex]
Make the exponent positive by this time putting it to the denominator:
[tex]=\frac{4y^{10}}{x^6}[/tex]
Determine whether the given source has the potential to create a bias in a statistical study: An article in Journal of Nutrition noted that chocolate is rich in flavonoids. The article reports that "regular consumption of foods rich in flavonoids may reduce the risk of coronary heart disease." The study received funding from the candy company, and the Chocolate Manufacturers Association. Identify and explain at least one source of bias in the study describe. Then suggest how the bias might have been avoided?
Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.
Explanation:
A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.
This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.
Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.