Answer: [tex]-\frac{3}{16}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}(-\frac{1}{4} )[/tex]
multiply the numberator and denominator:
3*-1 = -3
and
4*4 = 16 so,
[tex]-\frac{3}{16}[/tex] is the answer
Answer: [tex]\Large\boxed{-\frac{3}{16} }[/tex]
Step-by-step explanation:
Given information
x = - 1/4
Given expression
[tex]\dfrac{3}{4} ~x[/tex]
Substitute values into the expression
[tex]=\dfrac{3}{4} \times(-\dfrac{1}{4} )[/tex]
[tex]=\dfrac{3\times1}{4\times4}[/tex]
[tex]\Large\boxed{=-\frac{3}{16} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Write your answers as fractions in the format 1/2.
If a learner is picked at random, what is the probability that they are
female and use public transport?
The learner rejoins their class mates and another learner is picked at
random. What is the probability that they are female and walk/cycle to
college?
The probability that they are female and use public transport is [tex]\mathbf{=\dfrac{1}{3}}[/tex]
The probability that they are female and walk/cycle to college is [tex]\mathbf{=\dfrac{1}{9}}[/tex]
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is too probable to occur or how probable a statement is to be true.
Probability is synonymous with possibility. It is a mathematical field that is concerned with the occurrence of a random event. The value ranges from zero to one. The definition of probability is to predict the degree to which something is likely to occur. To determine the likelihood of a particular event occurring, we must first determine the total number of possible outcomes.
Mathematically:
[tex]\mathbf{Probability = \dfrac{number \ of \ required \ outcomes}{total \ number \ of \ possible \ outcomes}}[/tex]
From the table in the image attached below.
The probability that they are female and use public transport is:
[tex]\mathbf{=\dfrac{9}{27}}[/tex]
[tex]\mathbf{=\dfrac{1}{3}}[/tex]
Also, the probability that they are female and walk/cycle to college is:
[tex]\mathbf{=\dfrac{3}{27}}[/tex]
[tex]\mathbf{=\dfrac{1}{9}}[/tex]
Learn more about probability here:
https://brainly.com/question/25870256
#SPJ1
mary is making a batch of chocolate chip cookies the recipe calls for 9 cups of flour and 2 4/7 cups of sugar she isshort on flour cuts the recipe down to 7 cups if flour how much sugar should she add
Answer:
2
Step-by-step explanation:
At the beginning of this year, you went out and purchased $300 worth of gold coins. Every 3 months for the next 8 years, you purchase an additional $300 worth of coins. At the end of the first 3 years, the price of gold starts to come back down, and when you decide to cash out, your coins are only worth what you paid for them. What is the value of your account now?
Answer:
9900
Step-by-step explanation:
You start with 300, and add 300 32 times (once for every 3 months in 8 years).
[tex]300+9600=9900[/tex]
What number is next 3,8,35,48,99
Answer: 120
Step-by-step explanation: The pattern is a very weird pattern, but still a pattern.
The pattern starts with number 2 to the power of 2, and then subtract 1. This is 3.
Then we keep using this same pattern, keeping the exponent the same but increasing the numbers. 3^2 is 9, and subtracting 1 gives 8.
Then the pattern skips two numbers 4 and 5. So for every 2 numbers that is squared and subtracted 1, 2 other numbers are not apart of the pattern.
So the next is 6^2, which is 36-1 which is 35.
Then 7^2 is 49 and subtracting 1 is 48.
Then, ignoring the next 2 numbers because of the pattern, we have 10^2 which is 100, and subtracting 1 is 99.
Now the next number is 11^2 which is 121, and subtracting 1 is 120.
Hope this helped! If it did, please mark as Brainliest.
AN ARTICLE STATED THAT “INTERNAL SURVEYS PAID FOR BY DIRECTORY ASSISTANCE PROVIDERS SHOW THAT EVEN THE MOST ACCURATE COMPANIES GIVE OUT WRONG NUMBERS 15% OF THE TIME.” ASSUME THAT YOU ARE TESTING SUCH A PROVIDER BY MAKING 10 REQUESTS AND ALSO ASSUME THAT THE PROVIDER GIVES THE WRONG TELEPHONE NUMBER 15% OF THE TIME. FIND THE PROBABILITY OF GETTING ONE WRONG NUMBER.
Using the binomial distribution, there is a 0.3474 = 34.74% probability of getting one wrong number.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the values of the parameters are given by:
p = 0.15, n = 10.
The probability of getting one wrong number is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
P(X = 1) = C(10,1) x (0.15)¹ x (0.85)^9 = 0.3474
0.3474 = 34.74% probability of getting one wrong number.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
Item to ship 58 ,
items per case 6
Answer: 9 and 2/3 cases
Step-by-step explanation:
6 goes into 58 9 times to make 54 so makes 4 left over 4/6 simplified makes 2/3.
To ship 58 items with 6 items per case, you will need 9 complete cases and 1 additional case with the remaining 4 items, making a total of 10 cases.
We have,
To find the number of cases required to ship 58 items when there are 6 items per case, we can use division.
Number of cases = Total items / Items per case
Number of cases = 58 items / 6 items per case
Number of cases = 9 with a remainder of 4
When we divide 58 items by 6 items per case, we get 9 with a remainder of 4.
This means that 9 cases can be fully filled with 6 items each, and there will be 4 items left that won't fit in a complete case.
Therefore,
To ship 58 items with 6 items per case, you will need 9 complete cases and 1 additional case with the remaining 4 items, making a total of 10 cases.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
The complete question:
How many cases are required to ship 58 items if there are 6 items per case?
A.10
B.70
C.110
D.170
Help pls asap
What is the value of 8x-25 when x is equal to 12?
Answer:
71
Step-by-step explanation:
Evaluate for x=12
(8)(12)−25
(8)(12)−25
=71
Answer:
71
Step-by-step explanation:
To evaluate [tex]8x - 25[/tex] when [tex]x = 12[/tex], we have to replace x with 12 in the expression:
[tex]8x - 25[/tex]
⇒ [tex]8(12) -25[/tex]
⇒ [tex]96 - 25[/tex]
⇒ [tex]\bf 71[/tex]
lim
n->∞ 5n^2/7n³-4
[tex]\displaystyle \lim_{n\to \infty} ~~ \cfrac{5n^2}{7n^3-4}\qquad \implies \lim_{n\to \infty} ~~ \stackrel{\textit{using L'Hopital's rule}}{\cfrac{\frac{d}{dn}[5n^2]}{\frac{d}{dn}[7n^3-4]}}\implies \lim_{n\to \infty} ~~\cfrac{10n}{21n^2}\implies 0[/tex]
now, how do we get 0?
well, simple, hmmmm let me put a few values in
[tex]\cfrac{10(10)}{21(10)^2}\implies \cfrac{100}{2100}~~,~~ \cfrac{10(10000)}{21(10000)^2}\implies \cfrac{100000}{2100000000}~~,~~ ...[/tex]
in math lingo, on every iteration or change of the variable "n", the numerator is increasing but at a lower rate than the denominator, the denominator is increasing much more on every iteration, namely the denominator is moving faster and thus as "n" increases ever to infinity, the fraction becomes smaller and smaller and smaller, ever getting closer to 0.
I need help ASAP PLS HELP MEE I'll mark brainlist if correct and ill add 50 points I NeED The answer 5 mins AFTER PLS DO IT BEFORE 5 MIn (with explanation)
On which number line do the points represent negative seven and one over two and +1?
Answer list (below)
Answer:
Second number line
Step-by-step explanation:
This second line is the only line on which
[tex]-7\frac{1}{2} \text{ appears to the left of } 0 \text{ on the line (Point R)}\\+1 \text{ appears to the right of } 0 \text{ on this number line (Point T) }\\[/tex]
Answer:
○B (second option)
Step-by-step explanation:
In the second option, we can see that the point T is at +1. The point R is between -7 and -8, therefore we understand that it is at a value of [tex]\bf -7\frac{1}{2}[/tex].
All the other options have the points R and T at values not asked for in the question.
Evaluate: 15 x 105 i need help
Answer:
1575
Step-by-step explanation:
105
× 15
525 ( First multiply 105 by 5 )
+1050 ( Then multiply 105 by 1. Remember to place a 0 below 5 )
( It is very important to write each and every number in a
straight line)
1575 ( Now add them )
∴ 105 × 15 = 1575
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
750 - y(y-5) = 0
Step-by-step explanation:
Area is Length times width. In a rectangle we have two lengths and 2 widths.
We can use y to represent the length. The width would be y-5.
Area = LW
750 = y(y-5) or another way to write this is
750 - Y(y-5) = 0
A person paid by the hour works 15 hours a week and makes $502. How
much would they make if they work 34 hours?
Answer:
$1137.87
Step-by-step explanation:
Frist, we will find the hourly rate.
Given 15 hours = $502,
1 hour = [tex]\frac{502}{15} \\[/tex] = [tex]33\frac{7}{15}[/tex]
Note: Will leave the rate as a fraction as to maintain maximum accuracy.
34 hours = [tex]33\frac{7}{15}*34[/tex] = $1137.87 (nearest cent)
What is the length of CG?
Answer:
19
Step-by-step explanation:
63÷21=3
21 was multiplied by 3 to get 63
CG by 3 should give 57
75. [-/1 Points]
DETAILS
Need Help? Read It
Show My Work (Optional) (
Type here to search
40
TANAPCALCBR10 8.6.003.
Evaluate the double integral for the function f(x, y) and the given region R. (Give your answer correct to 3 decimal places.)
f(x, y) = 8xy³; R is the rectangle defined by -2 ≤ x ≤ 0 and -1 ≤ y ≤ 2
Watch It
MY NOTES
ASK YOUR TEAC
83°F
0
The value of the double integral for the function f(x, y) and the given region R is -60.
We can use the double integral to translate our understanding of volumes under surfaces in a three-dimensional coordinate system from areas under curves in a two-dimensional coordinate system. Just two of the many uses for double integrals are the ability to compute mass densities and estimate probability density functions.
We may get the volume under the area enclosed by the region using the double integral. By evaluating integrals with respect to only one variable while holding the other variable constant, we can compute double integrals.
Given function is: f(x, y) = 8xy³; R is the rectangle defined by -2 ≤ x ≤ 0 and -1 ≤ y ≤ 2.
Firstly integrate w.r.t y and apply the limits, similarly integrate w.r.t x and apply the corresponding limits.
The value of this double integral is calculated to be -60.
Learn more about double integrals here:
https://brainly.com/question/19053586
#SPJ1
What is the slope - intercept equation for this line?
Answer:
y = -2x - 1
Step-by-step explanation:
the ? mark part or the first [] is the slope
the slope is rise / run
the "rise" is 2 down
the "run" is 1 left
so
-2 / 1 is the slope
the y intercept is -1 as the line touches the y axis at -1
so
y = -2x - 1
is your answer
WILL GIVE BRAINLIEST!!!
Warning: If you do not meet the requirements which I have listed below, I will report you.
1. Give the right answer
2. Do not say, "I don't think any of them work"
3. GIve a clear and concise explanation (no skipping steps)
4. Explain what you are doing and why you are doing it.
(Attached below is a photo of the equation)
Without using general formula we will solve it in bit lengthy manner
For first half
Time=Distance/Speed
340/2721.25hFor second half
Time
1000/(228+272)1000/5002hSo
Average speed
Total distance/Total time(1000+340)/(2+1.25)1340/3.25412.3km/hOption C
The answer is 412.3 km/h.
The formula to find average velocity is :
[tex]\boxed {V_{avg} = \frac{d_{1}+d_{2}}{t_{1}+t_{2}}}[/tex]
Let's find t₁ and t₂.
t₁ (from London to Paris) : 340/272 = 85/68 = 5/4 hourst₂ (from Paris to Barcelona) : 1000/500 = 2 hoursNow, let's substitute in the formula to get the answer.
v (avg) = [(1000 + 340) / (5/4 + 2)]v (avg) = 1340/ (13/4)v (avg) = 5360/13v (avg) = 412.3 km/hIn a unit circle, 0 = 90°. Identify the terminal point and sin 0.
A. Terminal point: (0, 1); sin 0 = 1
B. Terminal point: (1, 0); sin 0 = 0
C. Terminal point: (1, 0); sin 0 = 1
OD. Terminal point: (0, 1); sin 0 = 0
SUBMI
Terminal point: (0, 1); sinФ = 1 ⇒ A
How do you find the terminal point?P(a, b) is the terminal point indicated by t, and the signs are selected based on the quadrant in which this terminal point is located. For each actual number t that is given.The terminal point on the positive x-axis is (1, 0), which denotes that cos(x) = 1, sin(x) = 0 and = 0° or 360°.The terminal point (0, 1) on the positive y-axis indicates that = 90° and cos = 0, sin = 1.The x-terminal axis's point on the negative side is (-1, 0), which indicates that the angle is 180 degrees, cos is -1, and sin is 0.(0, -1), which denotes the terminal point on the negative y-axis, indicates that = 270° and cos = 0, sin = -1.On a unit circle Ф = 90°
Using the second rule listed above
The terminal point is (0, 1)
sinФ = 1
Terminal point: (0, 1); sinФ = 1
To learn more about Terminal point, refer to:
https://brainly.com/question/1982296
#SPJ9
Determine if the points are solution points to the inequalities below. If the point is a solution, enter yes. If the point is not a solution, enter no. Enter yes or no in lower case letters (no capital letters).
Answer:
a. no
b. yes
c. yes
d. no
Step-by-step explanation:
To test a solution, put the values where the variables are, and simplify to the point where you can tell whether the statement is true.
Each ordered pair is (x, y), so the first value gets substituted for x; the second value gets substituted for y.
a.11 < 13 -2 = 11 . . . . no
b.8 ≤ 16 -3 = 13 . . . . yes
c.20 > 18 -4 = 14 . . . . yes
d.9 ≥ 15 -5 = 10 . . . . no
find the volume of these solid
20mm
3.7mm
41mm
The volume of the solid is which is a cone is 100.48 [tex]km^{3}[/tex].
Given a cone of radius 4 km and height being 6 km.
We are told to find the volume of the cone.
Volume is basically the amount of a substance that a container can hold in its capacity.Its value cannot be equal to zero or negative. It is basically amount of filling in a container.
Volume of cone is 1/3 [tex]\pi r^{2} h[/tex].
Volume =1/3 [tex]\pi 4^{2} *6[/tex]
=1/3 π*16*6
=32π
=32*3.14
=100.48[tex]km^{3}[/tex]
Hence if the radius of the cone is 4 km and height be 6 km then the volume of the cone is 100.48[tex]km^{3}[/tex].
Learn more about volume at https://brainly.com/question/463363
#SPJ1
Solve the following...
-35= 5+7(a + 2)
~ Thanks!!!!
Answer:
a=-54/7
Step-by-step explanation:
-35=5+7(a+2)
by opening the bracket we have
-35=5+7a+14
-35=7a+19
collect like terms
we have:
-35-19=7a
-54=7a
a=-54/7
Answer:
a = -54/7
Step-by-step explanation:
multiply 7 with the number in brackets
-35 = 5 + 7(a + 2)
-35 = 5 + 7a + 14
then add the numbers without symbols
-35 = 19 + 7a
make a the subject
-7a = 19 + 35
-7a = 54
divide the subject with the same number + the answer
-7a ÷ -7 = 54 ÷ -7
a = -54/7 or -7 5/7
hope this helps :)
Taylor is building doghouses to sell. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 12 sheets.
How many doghouses can Taylor make from 16 bundles of plywood?
Answer: 48 doghouses
Step-by-step explanation:
We will look at the details given, then we will perform the necessary operations to solve the problem.
16 bundles of plywood * 12 sheets in a bundle = 192 sheets
192 total sheets / 4 sheets to build a dog house = 48 doghouses
Read more about a similar problem here, please note they use different numbers:
https://brainly.com/question/739960
PLATO Type the correct answer in each box. Use numerals instead of words. In the figure, lines BD and QS are parallel. Two parallel lines B D, and Q S are intersected by a line A T at C, and R respectively such that the angle D C R is 77 degrees. Complete the given statement. The measure of ∠CRQ is °, and the measure of ∠CRS is °.
Answer:
c
Step-by-step explanation:
The measure of the angle ∠CRQ is 103° and the measure of the angle ∠CRS will be 103°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
In the figure, lines BD and QS are parallel. Two parallel lines B D, and Q S are intersected by a line AT at C, and R respectively such that the angle ∠DCR is 77 degrees.
We know that the angle ∠DCR & ∠SRT and ∠DCR & ∠SRT are corresponding angles. Then they are equal to each other.
∠DCR = ∠SRT = 77°
∠CRQ = ∠CRS
We know that the angle ∠CRQ and ∠CRS are supplementary angles. Then we have
∠CRQ + ∠SRT = 180°
∠CRQ + 77° = 180°
∠CRQ = 103°
Then the measure of the angle ∠CRQ is 103° and the measure of the angle ∠CRS will be 103°.
The diagram is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
solve the system of equations using substitution
The solution to the given simultaneous equation; x + 2y = -4, 2x + 5y = 1 using substitution method is x = -22 and y = 9
Simultaneous equationx + 2y = -4
2x + 5y = 1
Using Substitution method
From equation (1)
x = -4 - 2y
Substitute x = -4 - 2y into equation (2)
2x + 5y = 1
2(-4 - 2y) + 5y = 1
-8 - 4y + 5y = 1
- 4y + 5y = 1 + 8
y = 9
Substitute y = 9 into
x + 2y = -4
x + 2(9) = -4
x + 18 = -4
x = -4 - 18
x = - 22
Therefore, the solution to the given simultaneous equation; x + 2y = -4, 2x + 5y = 1 using substitution method is x = -22 and y = 9
Learn more about simultaneous equation:
https://brainly.com/question/16863577
#SPJ1
Talia noticed that she does not have a common factor. What should she do?
Talia needs to leave the polynomial as is because it is prime and cannot be factored.
Talia needs to factor out a 3x from the first group and a 4x from the second group.
Talia needs to factor out a negative from one of the groups so the binomials will be the same.
Talia needs to apply the distributive property to get the expression (3x + 4)(5x – 1).
The correct option regarding Talia factoring is given by:
Talia needs to factor out a negative from one of the groups so the binomials will be the same.
Which expression is Talia tying to factor?The expression is given by:
(15x² - 3x) + (-20x + 4).
Her first step was:
3x(5x - 1) + 4(-5x + 1)
After that, she did not factor out anything more out of the expression. However, looking at the two terms of the addition, we can realize that:
(-5x + 1) = -(5x - 1), hence she should factor out the negative.
More can be learned about factoring at https://brainly.com/question/14800626
#SPJ1
Carey's annual salary is $67 600 before tax.
How much is his weekly salary before tax?
[Assume 52 weeks in a year.]
Carey's weekly salary before tax is $1300.
What is the weekly salary before tax?The mathematical operation that would be used to determine the required value is division. Division is a mathematical operation that entails grouping a number into equal parts using another number.
In order to determine Carey's weekly salary before tax, divide the yearly salary by the number of weeks in a year.
Carey's weekly salary before tax = yearly salary / number of weeks in a year
$67,600 / 52 = $1300
To learn more about division, please check: https://brainly.com/question/13281206
#SPJ1
√₂º · Va This can be transformed into a basic integral by letting Consider the indefinite integral U= x' +9 ✓ and du = 7x6 ✓dx · √x + 9 dx: Performing the substitution yields the integral
Answer:
[tex]u = x^{7} +8[/tex] [tex]du = 7x^{6} dx[/tex] result is [tex]\frac{1}{7} \sqrt[4]{u}[/tex]
Step-by-step explanation:
If Lonnie has 40 plants and half of his plants die...how many plants does that
equal?
A 20
B 15
C 25
Answer:
20
Step-by-step explanation:
We know that she initially had 40 plants. The half of 40 is 20. That is also the number of plants that died.
Answer: A. 20
Step-by-step explanation:
Given Information:
Original = 40 Plants
New = Half Died
Find the number of plants that died:
40 × (1 / 2) = 40 / 2 = 20 Plants
or
40 ÷ 2 = 20 Plants
Therefore, it equals to [tex]\boxed{20 \:Plants}[/tex]
Hope this help!! :)
Please let me know if you have any questions
A 12-yard-long pipe is cut into three equal sections. Two of the resulting sections are cut in half, and one of the halves is cut into thirds. If two pipe sections are chosen and combined end to end, what is the difference between the longest possible and shortest possible combinations? (Note: 1 yard = 3 feet)
Answer:
14ft
Step-by-step explanation:
12 yard pipe equals 36ft. Divided equally 3 times gives 3 pipes at 12ft per pipe. 2 of those are divided in half, making 4 6ft pipes. 1 of the 6ft pipes is cut into 3 2ft pipes. you now have 3 pipes at 2ft, 3 pipes at 6ft and 1 pipe at 12ft. the longest 2 pieces are 12ft and 6ft making 18ft. 2 shoetest pieces equal 4ft. 18ft minus 4ft equals 14ft.
For which interval does this quadratic inequality hold true?
x²-4x-12 ≤0
A. (2,-6)
B. (0,4)
C. (-2, 2)
D. (-2, 6)
Answer:
D
Step-by-step explanation:
x²-4x-12≤0
x²-6x+2x-12≤0
x(x-6)+2(x-6)≤0
(x-6)(x+2)≤0
x=6,-2
∴ value of x lies between -2 & 6
