Answer:
104 cups.
Step-by-step explanation:
Let's use a ratio:
biscuits : cups
24 : 312
8 : 104
He should use 104 cups of flour. (That's a lotta flour)
ALGEBRA 2 FINALS
1. SPORTS Last year the volleyball team paid $5 per pair for socks and $17 per pair for shorts on a total purchase of $315. This year they spent $342 to buy the same number of pairs of socks and shorts because the socks now cost $6 a pair and the shorts cost $18.
a. Write a system of two equations that represents the number of pairs of socks and shorts bought each year. b. How many pairs of socks and shorts did the team buy each year?
Indicate the answer choice that best completes the statement or answers the question.
Determine whether each function has a maximum or minimum value, and find that value. Then state the domain and range of the function.
2. v(x) = –x2 + 14x – 57
a. minimum; –8; all real numbers; {f(x) | f(x) –8}
b. maximum; –57; all real numbers; {f(x) | f(x) –57} c. maximum; 14; all real numbers; {f(x) | f(x) 14}
d. maximum; –8; all real numbers; {f(x) | f(x) –8}
Answer:
Step-by-step explanation:
2+2+2+2 = 8
The length of a rectangle is 5 more than the width. The area is 500 square feet. Find the length and width of the rectangle.
Answer:
length = 25ft, width = 20ft
Step-by-step explanation:
Let x= width, so length = x+5
Area = l x w so A = x(x+5)
Since the area is given as 500 sqft, your equation is x(x+5)=500.
Although the numbers are easy enough to factor in your head, mathematically the equation can be solved as a quadratic, as follows:
x^2 + 5x -500 = 0
Using either factoring or quadratic formula, x = 20 (the other value is negative). Therefore the width is 20ft and the length is 25ft.
The following measurements (in picocuries per liter) were recorded by a set of carbon dioxide detectors installed in a manufacturing facility: 799.2,784.3,803.8,806.8,780.5,794.8 Using these measurements, construct a 95% confidence interval for the mean level of carbon dioxide present in the facility. Assume the population is approximately normal. Step 3 of 4: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
(783.806 ; 805.994)
Step-by-step explanation:
Given the sample :
X : 799.2,784.3,803.8,806.8,780.5,794.8
Sample size, n = 6
Sample mean, xbar = Σx / n = 794.9
Sample standard deviation, s = 10.574 ( calculator)
Tcritical at 95%, df = 6 - 1 = 5 equals 2.57
Confidence interval :
Xbar ± standard error
Standard Error = Tcritical * s/√n
Standard error = 2.57 * 10.574/√6 = 11.094
Lower boundary = (794.9 - 11.094) = 783.806
Upper boundary = (794.9 + 11.094) = 805.994
(783.806 ; 805.994)
If the standard deviation of a data set were originally 4, and if each value in
the data set were multiplied by 1.75, what would be the standard deviation of
the resulting data?
A. 3
B. 4
c. 7
D. 1
Please help
Answer:
it's a.
Step-by-step explanation:
you have to find the mean
Explain the relationship between the linear scale factor of two similar objects and the area ratio of the two objects?
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
Solve the inequality:
2x + 3 > -11
Answer:
x > − 7
Step-by-step explanation:
hope this helps
what is the answer to my math problem. Evaluate 32^1/5
the answer is 2
Solution:
32⅕
(2⁵)⅕
Answer is 2
Suppose that the middle 68% of speeding ticket fines on a highway fall between 93.18 and 118. Give an approximate estimate of the standard deviation of the speeding ticket fines. Assume the fine amount has a normal distribution
Answer:
The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Middle 68% of speeding ticket fines on a highway fall between 93.18 and 118.
This means that 93.18 is one standard deviation below the mean and 118 is one standard deviation above the mean. That is, the difference between 118 and 93.18 is worth two standard deviations. So
[tex]2s = 118 - 93.18[/tex]
[tex]s = \frac{(118 - 93.18)}{2}[/tex]
[tex]s = 12.41[/tex]
The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.
PLS HELP 50 POINTS
A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How many times larger is the surface area of the larger prism?
25
625
10
5
Answer:
25
Step-by-step explanation:
20x8+5x8=200
20+5=25 the answer would be 25
Identify like Terms
8x2 yx3 9x2 y2 5y
In a certain year, 88% of all Caucasians in the U.S., 73% of all African-Americans, 73% of all Hispanics, and 75% of residents not classified into one of these groups used the Internet for e-mail. At that time, the U.S. population was 64% Caucasian, 11% African-American, and 13% Hispanic. What percentage of U.S. residents who used the Internet for e-mail were Hispanic
Answer:
The total percentage of U.S. residents who used the Internet for e-mail were Hispanic was 9.5%
Step-by-step explanation:
Given
In a certain year the % share of American population that was Hispanic was 13%
Out of these 13%, 73% Hispanic used the internet for emails.
Now the total percentage of U.S. residents who used the Internet for e-mail were Hispanic was 0.13 * 0.73 = 0.095 = 9.5%
Please help me solve this!
Answer:
The functions are:
f(x) = $14.75*x + $2
s(x) = $12.25*x + $17
Both iSpice and Spice Magic charge $90.50 for 6 pounds of paprika.
Step-by-step explanation:
A linear equation has the general shape:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the function passes through the points: (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Ok, knowing this, let's look at the first table, we need to work with only two points, so let's use the first one (1, $16.75) and the second one (2, $31.50)
Then the slope of the equation is:
a = ($31.50 - $16.75)/(2 - 1) = $14.75
Then the equation is something like:
y = f(x) = $14.75*x + b
To find the value of b, we can use one of the two points. For example, the point (1, $16.75) means that when x = 1, we must have y = $16.75
Replacing these values in the equation we get:
$16.75 = f(1) = $14.75*1 + b
$16.75 - $14.75 = b = $2
Then the function f(x) is:
f(x) = $14.75*x + $2
Now let's go to the other function, again we can choose two points, let's use the first one (1, $29.25) and the third one (3, $53,75).
Then the slope is:
a = ($53.75 - $29.25)/(3 - 1) = $12.25
Then the equation is something like:
y = s(x) = $12.25*x + b
To find the value of b we do the same as before, if we use the first point (1, $29.25) we get:
$29.25 = s(1) = $12.25*1 + b
$29.25 - $12.25 = b = $17
Then this equation is:
y = s(x) = $12.25*x + $17
The two equations are:
f(x) = $14.75*x + $2
s(x) = $12.25*x + $17
b) now we want to find the value x such that the price is the same in both cases, then we need to solve:
f(x) = g(x)
$14.75*x + $2 = $12.25*x + $17
$14.75*x - $12.25*x = $17 - $2
$2.5*x = $15
x = $15/$2.5 = 6
This means that for 6 pounds of paprika the price is the same on both companies, and the price is:
f(6) = g(6) = $14.75*6 + $2 = $90.50
the width of a rectangle is 7 cm less than twice its length. its area is 30 square cm. find the dimensions
Answer:
l = 6 cm
w = 5 cm
Step-by-step explanation:
l(2l - 7) = 30
2l^2 - 7l - 30
(2l + 5)(l - 6)
l = 6
2(6) - 7 = 5
Devin has a rectangular vegetable garden. He planted tomatoes in section of the garden with an area of 6 square yards. There were 30 square yards remaining for Devin to plant zucchini. Let g represent the total area of the garden. Which equation models the problem? Solve the equation to find the total area of the garden. g =
Answer:
g=30y^2+6y^2
Step-by-step explanation:
30 years left after six were taken
Help 100 points to answer the page
Answer:
Use trigonometry
sine = opposite leg / hypotenusecosine = adjacent leg / hypotenusetangent = opposite leg / adjacent leg#123/x = sin 68x = 23 / sin 68x = 24.8Choice A
#221/x = tan 26x = 21/ tan 26x = 43.1Choice D
Note. All numbers below are rounded to the nearest tenth#312/x = sin 53x = 12 / sin 53x = 15.0#48/x = tan 34x = 8/tan 34x = 11.9#5x/ 12 = cos 26x = 12 cos 26 x = 10.8#6x / 13 = sin 34x = 13 sin 34x = 7.3#7x / 18 = sin 53x = 18 sin 53 x = 14.4#8x / 10 = tan 30x = 10 tan 30 x = 5.8#9cos X = 21/35 = 3/5#10tan X = 32/24 = 4/3Answer:
the person above me is correct i said that because i did the math and solved it
Step-by-step explanation:
What equation can I use to solve for x?
What equation can I use to solve for y?
Answer:
125+9x-8=180
6x+13+6y+29=180
Step-by-step explanation:
Is -2.4 and 1.5 repeating or terminating decimals?
Answer:
terminating decimals
Step-by-step explanation:
Write the equation of the lines which have the following parameters. Write the equation in slope intercept form.
1. slope = 3; y-intercept = 5
2. slope = 2/5; y-intercept =-10
3. slope = -3/2; y-intercept = -2
4. slope = 18; y-intercept = 0
5. slope = -3.253; y-intercept =-14.159
6. Challenge problem: x-intercept = -2; y-intercept = 6
Answer:
Step-by-step explanation:
Slope intercept form is :
y = mx + b
where m is the slope and b is the y-intercept.
So, given slope and y-intercept, all you have to do is plug in slope for m and y-intercept for b.
1.) y = 3x + 5
2.) y = 2/5x - 10
3.) y = -3/2x - 2
4.) y = 18x
5.) y = -3.253x - 14.159
For question 6, you need to calculate the slope given the two points then plug in the slope and y-intercept to get the equation.
So to find slope, you use the equation below:
slope = (y2 - y1) / (x2 - x1) = (6-0) / (0 - -2) = (6) / (2) =3
6.) y = 3x + 6
(I’ll give points + brainalist for the correct answer with an explanation)
Answer:
b
Step-by-step explanation:
divide 1/4 by 20
18
Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
. and the number of students who got a grade higher than
84% is about
Reset
Next
Answer: 100
5
Step-by-step explanation:
a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...
... 100 students will have grades above 70%.
b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.
... about 5 students will have grades above 84%.
Someone walked%s the length of this room
then walked backward 4 the length of this
room before walking forward / the length
of the room and hiding the key there. How
far across the room (as a fraction) is the
key? Use a "/" as a fraction bar in your
answer.
Answer:
E-e-e-e-et-t-t-o.... B-b-b-b-b-baka h-h-huh... g-g-g-g-g-g-gOmensas-s-s-sai S-senpai...
Step-by-step explanation:
uHM yeah
62. AAA+AA+A= 246 => A= ?
A.1 B.4 C. 2 D.5 E. 8
Answer:
C. 2
Step-by-step explanation:
222 + 22 + 2 = 246
So A = 2
3. Suppose that a parabola has
x-intercepts (-3,0) and (2,0) and goes
through the point (-1,12). Which
quadratic function represents the parabola
in factored form?
A
y=-(2 - 3)(x + 2)
B
y= -2(x − 3)(x + 2)
Y= -2(x+3)(2 – 2)
D.
y= (2 + 1)(x - 2)
Answer:
C. I used to not get this but now I do. hope I helped
A man had 15 crates of apples. Each crate had the same number of apples. He sold 70 apples on Monday and twice as many apples on Tuesday. He had 90 apples left. How many apples were there in each crate at first?
Answer:
=20 apples
Step-by-step explanation:
90+70+140=300
300 crates in total
300÷15=20
Express 72km/h in meter per sec
Answer:
20meter per second is tw correct answer
20 m/s
Step-by-step explanation:
1km/h = 1000m/3600s = 5m/18s
⇒ 72 × 5 ÷ 18 = 20 (m/s)
This is a review of last lesson's concept You have 2 red marbles, 3 black marbles, and 2 blue marbles. You pick a marble, look at it, and replace it in the bag Then you pick a marble again. What is the probability of picking a red marble both times?
Help me!! Thank you for the help!!
Answer:
D. 0.34
Step-by-step explanation:
0.24²+0.31²=x² then you find the square root
Answer:
the answer is 0.28, Because of SEGEMENT FH IS HALF OF FG BECAUSE ITS A RIGHT ANGLE.
What is the volume of a cylinder with a height of 13.6 cm and a base with a radius of 6.6 cm, to the nearest tenth of a cubic centimeter? !!!asap
Answer:
1,861.1 cubic centimeters
Step-by-step explanation:
Volume of a cylinder is
[tex]v = \pi {r}^{2}h[/tex]
so you would plug it in and solve
[tex]v = \pi ({6.6})^{2}13.6[/tex]
Help me with this one pls quickly. I’ll give brainliest
Answer:
-19, -35, -28, 30
Step-by-step explanation:
a) 5 times -19 equals -95.
b) -35 times -2 equals 70.
c) -28 plus 10 equals -18
d) 30 plus negative 3 equals 27.
Question #3 show steps or how you know
Answer: Choice D)
(-1.5, -1) and (0, 1)
=============================================================
Explanation:
Exponents can be a bit clunky if you have too many of them, and if they're nested like this. Writing something like e^(x^2) may seem confusing if you aren't careful. I'm going to use a different notation approach. I'll use "exp" notation instead.
So instead of writing something like e^(x^2), I'll write exp(x^2).
The given derivative is
f ' (x) = exp(x^4-2x^2+1) - 2
and this only applies when -1.5 < x < 1.5
Apply the derivative to both sides and we'll find the second derivative
f ' (x) = exp(x^4-2x^2+1) - 2
f '' (x) = d/dx[ exp(x^4-2x^2+1) - 2 ]
f '' (x) = exp(x^4-2x^2+1)*d/dx[ x^4-2x^2+1 ]
f '' (x) = exp(x^4-2x^2+1)*(4x^3-4x)
f '' (x) = (4x^3-4x)*exp(x^4-2x^2+1)
From here, we need to find the roots of f '' (x).
Set f '' (x) equal to zero and solve to get...
f '' (x) = 0
(4x^3-4x)*exp(x^4-2x^2+1) = 0
4x^3-4x = 0 ..... or .... exp(x^4-2x^2+1) = 0
4x(x^2-1) = 0
4x(x+1)(x-1) = 0
4x = 0 or x+1 = 0 or x-1 = 0
x = 0 or x = -1 or x = 1
Those are the three roots. We ignore the equation exp(x^4-2x^2+1) = 0 because it doesn't have any real number solutions.
---------------------
The three roots of x = 0 or x = -1 or x = 1 represent possible locations of points of inflection (POI). Recall that a POI is where the function changes concavity. To determine if we have a POI or not, we'll need to a sign test.
Draw out a number line. Plot -1, 0, and 1 in that order on it. Pick something to the left of -1 but larger than -1.5, lets say we pick x = -1.2. Plugging this into the second derivative function leads to...
f '' (x) = (4x^3-4x)*exp(x^4-2x^2+1)
f '' (-1.2) = (4(-1.2)^3-4(-1.2))*exp((-1.2)^4-2(-1.2)^2+1)
f '' (-1.2) = -2.563
That value is approximate. The actual value itself doesn't matter. What does matter is the sign of the result. The negative second derivative value tells us we have a concave down region. So we just found that f(x) is concave down for the interval -1.5 < x < -1, which converts to the interval notation (-1.5, -1)
Repeat the process for something between x = -1 and x = 0. I'll pick x = -0.5 and it leads to f '' (-0.5) = 2.63 approximately. The positive result tells us that we have a concave up region. Therefore, -1 < x < 0 is not part of the answer we're after.
Repeat for something between x = 0 and x = 1. I'll pick x = 0.5 and it produces f '' (0.5) = -2.63 approximately. So the region 0 < x < 1 is also concave down. Meaning that the interval notation (0,1) is also part of the answer.
So far we have the interval notation of (-1.5, -1) and (0,1) as part of our solution set.
Lastly, we need to check something to the right of x = 1, but smaller than 1.5; let's go for x = 1.2
You should find that f '' (1.2) = 2.563 which allows us to rule out the region on the interval 1 < x < 1.5
Overall, the final answer is (-1.5, -1) and (0, 1)