Answer:
undefined
Step-by-step explanation:
The square root of any negative number is undefined because there is no possible solution. - × - = + and + × + = +
The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?
The number of sugar cups will be equal to 7.5 cups.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.
The number of sugar cups will be calculated as,
F / S = 2 / 3
5 / S = 2 / 3
S = ( 5 x 3 ) / 2
S = 7.5 cups
Therefore, the number of sugar cups will be equal to 7.5 cups.
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Question 3: Multiply: 0.33.10⁵
330
330000
33000
3300
Answer:
33,000
Step-by-step explanation:
0.33 x 10^5 is 33,000
Let A and B be two events. Suppose that P (A) = 0.11 and P (B) = 0.06.
(a) Find P (A or B), given that A and B are mutually exclusive.
(b) Find P (A or B), given that A and B are independent.
Answer:
find p (A or ),given that A and B are independent
The followings are the sys. BP in mmHg of 12 patents
under certain therapy of hypertension
183
144
152
178
157
114
178
152
194
163
118
158
Can we conclude on basis of these data that sample
mean is less than pop mean 165 mmHg
Let a = 0.05
There is no sufficient evidence to support that the population mean is less than 165.
What is mean ?
The average of a set of values is referred to as the mean in statistics and math. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The simple arithmetic mean involves adding the numbers together and dividing the result by the number of observations.
From the given data
183, 152, 178 , 157 , 194 , 163 , 144 , 114 , 178 , 152 , 118 , 158
Mean = 157.5833
Standard deviation s = 24.39
n = 12
Null hypothesis [tex]H_{0}[/tex] : μ = 165
Alternative Hypothesis [tex]H_{1}[/tex] = μ < 165
Level of significance ∝ = 0.05
degree of freedom (df) = n - 1
(df) = 12 - 1
(df) = 11
critical value [tex]t_{0.05 , 11}[/tex] = -1.796 (left - tailed)
Test - statistics (t) = ( mean - μ ) / ( s / √n)
(t) = -1.053
p - value = 0.1574
p - value > Significance level (∝)
0.1574 > 0.05
We fail to reject the null hypothesis
Critical value [tex]t_{0.05 , 11}[/tex] = -1.796
|[tex]t_{0.05 , 11}[/tex]| = 1.796
|test - statistics| < |critical value|
1.053 < 1.796
We fail to reject the null hypothesis
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Determine which set of ordered pairs represent a
Function and justify your selection.
{(-1,4), (2, 4), (8,4), (10,4)}
{(0, -2), (3, 7), (0, 2), (18,2))
{(-1,3), (-1,-1), (-1,-12), (-1,0)}
{(1, 2), (2, 3), (3, 4), (3,5)}
Justification: (What is your reasoning?)
Answer:
{(-1,4), (2, 4), (8,4), (10,4)}
all of the x-values are different
Step-by-step explanation:
The other three options have duplicate x-values with different y-values.
Raven and Tyler are selling their cups of hot chocolate for $2.25. They sold 11 cups. They are also sold 9 candy canes on the side for $0.75 each. They spent $7.50 on supplies that they will have to pay back to the bank.
How much did they earn from candy canes?
The amount they earn from the sale of candy canes as required is; $6.75.
How much did they earn from candy canes?It follows from the task content that the amount earned by Raven and Tyler as in the task content is to be determined.
Since they sell their cups of hot chocolate for $2.25 in which case they sold 11 cups.
However, the question requires that the amount which they earn from the sale of candy canes is to be determined.
Therefore, since each candy cane is sold for $0.75, it follows that the amount earned on 9 candy cones is;
= 9 × $0.75
= $6.75
Ultimately, the amount earned from the candy canes is; $6.75.
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write -1/2x + 4 = 10 in slope intercept form
Answer: y=-1/2x+4
Step-by-step explanation:
What happens when the discriminant equals zero?
Answer: It indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
What are the 7 types of triangles?
The 7 names of triangles:
Scalene, Isosceles, Equilateral, Equiangular triangle, Acute triangle,
Right triangle, Obtuse triangle
What are triangles?
Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Equiangular triangle: All angles are equal.
Acute triangle . . . all three angles are less than 90°
Right triangle . . . one angle is 90°
Obtuse triangle . . . one angle is greater than 90°
Equilateral triangle . . . all three sides are the same length
Isosceles triangle . . . two sides are the same length
Scalene triangle . . . all three sides are different lengths
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Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x^2 - 4x = -2 has.
Please explain how you got the solution.
20 Points! Thanks!
Answer: One Real Solution
We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )
a=2,b=-4,c=2
Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac
Once we plug in our coefficients:
(-4)^2 - 4 x 2 x 2
Once we simplify, we get 0.
One real solution.
I hope this helps.
In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:
For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:
Δ = b² - 4ac
In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:
a = 2b = -4c = 2By introducing these values into the formula we get:
Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0
Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.
We can say: It has a Real solution.Please help asap!!!!!!
Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base
What is the shape of the opening of the jewelry box?
A rhombus
B rectangle
C triangle
D trapezoid
HELP I BEG
Which of the following is equivalent to 43x + 17y + 3x?
3x(43x + 17y)
43x + 20xy
43x + 3x + 17y
43x(17y + 3x)
Answer:
43x+3x+17y
Step-by-step explanation:
because 43x+17y+3x=43x+17y+3x
Please help will mark Brainly
Answer: Horizontal Translation
Step-by-step explanation:
Which expression is equivalent to 24³ ?
2√3
2³√3
2√6
2³√6
Answer:
[tex]2 \sqrt[3]{3} [/tex]
Step-by-step explanation:
[tex]24 {}^{ \frac{1}{3} } [/tex]
[tex] \sqrt[3]{24} [/tex]
[tex] \sqrt[3]{8 \times 3} [/tex]
[tex] \sqrt[3]{8} \times \sqrt[3]{3} [/tex]
[tex] \sqrt[3]{2 {}^{3} } \times \sqrt[3]{3} [/tex]
[tex]2 \times \sqrt[3]{3} [/tex]
[tex]2 \sqrt[3]{3} [/tex]
Find x:
X=________________
Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].
Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].
−8×(−10+(−7))
Evaluate the following expression.
Answer:
136
Step-by-step explanation:
solve the inside of the parentheses and you get -17, then multiply by -8
What is the reciprocal of ¾?
Group of answer choices
3/1
1/3
3/4
4/3
Answer: 4/3
Step-by-step explanation:
The reciprocal of a/b is b/a.
Factor 100x² 140xy + 49y²
Answer:
100 times square times Y 49 gives= 14000
After a 20% discount, you purchase a television for $240. What was the television's
price before the reduction? (Define a variable, create an equation, solve using algebra,
and answer in a sentence.)
===========================================
Work Shown:
x = price of the TV before the discount
20% of x = 0.20x = discount, aka amount saved
x - 0.20x = 0.80x = price after discount
0.80x = 240
x = 240/0.80
x = 300
The TV was $300 before the discount.
-------------
Check:
20% of 300 = 0.20*300 = 60 dollars is the amount saved
300-60 = 240 is the price after the discount, which matches the given info. The answer is confirmed.
How do you isolate the variable by dividing each side by factors that don't contain the variable?
We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.
According to the question,
We have the following information:
Isolating a variable by dividing each side of the equation in which one side does not contain any variable.
Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.
Now, this can be done as follows in the given equation:
2x = 14
Now, the variable x can be isolated by dividing both sides of the equation by 2:
x = 14/2
x = 7
Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.
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The sum of two numbers is 66. Two times the lesser number is 15 more than the greater number. What are the numbers
If x is a lesser number, the equation is
Answer:
See below!
Step-by-step explanation:
Let the two numbers be x and y
Condition # 1:x + y = 66 ----------------(1)
Condition # 2:2x = y + 15
2x - y = 15 ---------------(2)
Add both equations
x + y + 2x - y = 66 + 15
x + 2x = 66 + 15
3x = 81
Divide both sides by 3
x = 27Put x = 27 in Eq. 1
27 + y = 66
Subtract 27 to both sides
y = 66 - 27
y = 39[tex]\rule[225]{225}{2}[/tex]
help!! i’ve been stuck on this problem!
Answer:
x less than or equal to -2
Step-by-step explanation:
I believe that's the answer
Answer:
x < -2
Step-by-step explanation:
You want the domain of a function graphed as a curve with an open circle at x=-2, which is the right end of the curve.
DomainThe domain is the horizontal extent of the graph. It is the set of values for which the relation is defined.
ApplicationThe open circle at (x, y) = (-2, 0) means that point is not part of the graph. All x-values to the left of that point have corresponding y-values, so the extent of the graph can be said to be ...
x < -2
The domain of the relation is x < -2.
Find f(h(x)).
f(x) = x² + 4
h(x)=√x-3
Answer:
[tex]f(h(x)) = ( \sqrt{x} - 3)^{2} + 4[/tex]
[tex]f(h(x)) = (x - 9) + 4[/tex]
[tex]f(h(x)) = x - 5[/tex]
Step-by-step explanation:
h(x) became x for function of f(x)
HURRY PLS!!
Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
A. Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of buckets of popcorn and the other axis to represent the number of drinks.
Explain your graph.
B. Graph the absolute value function.
C. (a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?
The equation of Kevin's scenario is 4x + 2y = 45
The absolute equation is y = 2|x - 3| + 5The equation of the linear function in slope-intercept form is y = 2x + 3The equation of the transformed function in slope-intercept form is y = 2x - 1How to determine Kevin's equationFrom the question, we have the following parameters
Amount = $45Bucket of popcorn = $4Bucket of each drink= Half the bucket of popcorn = $2Represent the buckets of popcorn with x and the number of drinks with y
So, we have the following equation
4x + 2y = total amount
This gives
4x + 2y = 45
See attachment for the graph
The graph of an absolute functionAn absolute function is represented as
y = a|x - h| + k
Where the vertex is (h, k)
So, we make use of the following function
y = 2|x - 3| + 5
See attachment 2 for the graph
The graph of a linear functionHere, we are to make use of any equation
A linear equation is represented as
y = mx + b
Where
slope = m
y-intercept = b
So, we make use of
m = 2 and b = 3
This gives
y = 2x + 3
When transformed 2 units up and 3 units down, the resulting equation is
y = 2x + 2 - 3
Evaluate
y = 2x - 1
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Slope = ½; (h, k) = (1, -2) find the slope-point
The linear equation with a slope of 1/2 and that passes through the point (1, -2) is written in point-slope form as:
y = (1/2)*(x - 1) - 2
How to find the equation of the line?For a linear equation with a slope m and a known point (h, k), the slope-point form is written as:
y = m*(x - h) + k
Where y and x are the two variables.
Here we know that the slope is 1/2, and the known point is (1, -2), then the values on the equation above are:
m = 1/2
h = 1
k = -2
Replacing that in the general formula for the linear equation in the slope-point form that is written above, we will get:
y = (1/2)*(x - 1) - 2
That is what we wanted to find.
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Use the graph or table to find the equation that represents the relationship.
The linear equations that represent the relationships in the question order are;
y = 4·x - 1y = -x + 4[tex]y = \frac{1}{4} \cdot x -1[/tex][tex]y = -x + \frac{1}{4}[/tex]What is a linear equation?A linear equation is an equation of the form; y = m·x + c
The slope of the line is found as follows;
(-5 - (-21))/(-1 - (-5)) = 4
The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4
y = 4·x + 4 - 5 = 4·x - 1
y = 4·x - 1The y-intercept is (0, 4), the x-intercept is (4, 0)
The slope is therefore; (0 - 4)/(4 - 0) = -1
The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4
y = -x + 4The y-intercept is (0, -1), the x-intercept is (4, 0)
The slope is therefore; (0 - (-1))/(4 - 0) = 1/4
The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =
y = x/4 - 1The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]
y - (-3/4) = -1 × (x - 1) = -x + 1
y = -x + 1 - (3/4) = -x + 1/4
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20 is ______times as much as 2
Emy has 13 1/4 kilograms of sweet potatoes.She gave away 5 12 kilogramsof corn to her neighbors.how many kilograms of corn than potatoes did she gave away?
Answer:
2 1/4 kg
Step-by-step explanation:
If −2≤f(x)≤5 on [−1,3] then find upper and lower bounds for ∫−13f(x)dx
Answer:
Answer is attached as a photo. I will be honest I am not familiar with a calculus problem being set up that way. I am guessing that is what they are looking for...
Step-by-step explanation:
The upper bound of the given function is 20 while the lower bound of the given function is -8.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
-2 ≤ f(x) ≤ 5
At the upper bond, f(x) = 5
[tex]\int\limits^{3}_{-1} {f(x)} \, dx[/tex] = [tex]\int\limits^{3}_{-1} {5} \, dx[/tex]
⇒ 5(3 + 1) = 20
At the lower bond f(x) = -2
[tex]\int\limits^{3}_{-1} {f(x)} \, dx=\int\limits^{3}_{-1} {-2} \, dx[/tex]
⇒ -2(3 + 1) = -8
Hence "The upper bound of the given function is 20 while the lower bound of the given function is -8".
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