Answer:
28/3 or 9 1/3 pounds
Step-by-step explanation:
Let's set up a proportion using the following setup:
pounds/loaves=pounds/loaves
We know that 7 pounds of flour is needed for 3 loaves. We don't know how many pounds are needed for 4 loaves, therefore we can say x pounds are needed for 4 loaves.
7 pounds/ 3 loaves= x pounds/ 4 loaves
7/3=x/4
We want to find out what x (flour needed for 4 loaves) is. We have to get x by itself.
x is being divided by 4. We need to perform the inverse operation. The opposite of division is multiplication. Therefore, we should multiply both sides of the equation by 4.
4*(7/3)=(x/4)*4
4*7/3=x
9.333333=x
x=9.33 or 28/3 or 9 1/3
It will take 28/3 or 9 1/3 pounds of flour to make 4 loaves of bread.
Question
Use the provided ruler to measure the segment shown. Find the scale of the drawing.
The length of the segment is _____ centimeters.
The scale is ___ cm : ___ mm.
The length of the segment is 2.4 centimeters.
The scale is 2.4 cm :24 mm.
How to change mm to cm?
One millimeter, or one-thousandth of a meter, is equal to one mm. One centimeter, also known as one hundredth of a meter, is equal to one centimeter.
Accordingly, 1 cm 10 mm. Divide the number of mm by 10 to get the number of cm when converting mm to cm.
Given that length of the segment is 24mm. now we know that,1 mm is equal to 0.1 cm,
So,
\(10 \: mm=1 \: cm \\ or, \: 1 \: mm = \frac{1}{10} \: cm \\ or, 24 \: mm × ( \frac{1}{10} ) = 2.4 \: cm.\)
The scale is 2.4 cm :24 mm.
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given the quadratic function, state whether the parabola opens up or down, and whether it has a maximum or minimum. y
For the stated quadratic function the parabola opens up and is minimum.
Describe the term parabola?A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.The standard equation of parabola is -
y = ax² + bx + c; a ≠ 0If a > 0, graph opens upward and function is minimum.If a < 0, graph opens downward and function is maximum.For the stated equation;
y = x² + 6x -5
a = 1 > 0
Thus, graph opens upward and function is minimum.
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The complete question is-
Given the quadratic function, state whether the parabola opens up or down, and whether it has a maximum or minimum. y
y = x² + 6x -5
Cindy runs 13 blocks to the park and 13 blocks back home every day. If she does this 4 days, how many blocks will she run?
Answer:
I believe the answer is 104
Step-by-step explanation:
13+13=26 thats 1 day so 26×4=104
Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
Answer:
210
Step-by-step explanation:
=2x-3y+4z
=2×10-3×(-12)+14×11
=20+36+154
210
The value of expression is 210.
What is an Expression?
An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is 2x – 3y + 4z
The value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11 is
=2x-3y+4z
=2×10-3×(-12)+14×11
=20+36+154
210
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If a store marks up merchandise by 40% on cost, what is the markup in dollars on an item costing $80?
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answer: C
Step-by-step explanation:
PLS HELP!!
Given the diagram below, find the value of x.
The value of x is
Answer:
44°
Step-by-step explanation:
180-30-14=136
180-136
44
An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
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The radius of Circle A is 4 cm. The radius of Circle B is 4 cm greater than the radius of Circle A. The radius of Circle C is 5 cm greater than the radius of Circle B. The radius of Circle D is 3 cm less than the radius of Circle C. What is the area of each circle? How many times greater than the area of Circle A is the area of Circle D?
*There are 4 parts*
Answer:
the area for
a=16pi or 50.26548...
b=64pi or 201.061329...
c= 169pi or 530.929158...
d=100pi or 314.159265
d is 19.7392088... or 6.25pi times greater than a
Step-by-step explanation:
the decimal values are more accurate for the d is greater than circle a
so you start with a=4 in radius then b=a+4, c=b+5, d=c-3
then solve the equation a=4, b=8, c=13, d=10
then you solve for the area using the formula radius squared pi
getting the answers above
as for the second answer you would divide d to a getting the amount of times more above for circle d and circle a
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx = ______
dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.
The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.
To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.
Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.
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Given the functions f(x) = x2 + 6x - 1 and h(x) = 2x2 - 4x + 3. What is the vertex for each?
a
(-3, -10) and (1, 9)
b
(-3, -28) and (-1, 5)
c
(-3, -10) and (1, 1)
d
(3, -20) and (-1, 9)
Answer:
c. (-3, -10) and (1,1)
I took this test and remembered,
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
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Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
if 5x/2 = -10 then the value of x is
Answer:
x= -4
Step-by-step explanation:
5x/2= -10
×2 ×2
5x = -20
/5 /5
x = -4
Answer:
x=-4
Step-by-step explanation:
5x/5=-10/1 then we do cross multiplication which = to 5x/5= -20/5 so x=-4
If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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How do you simplify (5g^4h^3)^3? Simplify using exponent rules, please do not completely answer
Answer:
5^3·g^12·h^9 or 125g^12·h^9
Step-by-step explanation:
Consider the following figure.
(Note that the figure is not drawn to scale.)
20°
L
47°
89°
Order the side lengths IK, KL, IJ, IL, and LJ from least to greatest.
The side lengths from least to greatest as follows:
IK < KL < IJ < IL < LJ
To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.
Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.
Let's analyze the angles:
Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.
Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.
Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.
Based on these observations, we can order the side lengths from least to greatest as follows:
IK < KL < IJ < IL < LJ
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Rewrite the equation in standard form:
y = 3/4x - 10
======================================
Work Shown:
y = (3/4)x - 10
4y = 3x - 40 .... multiply everything by 4 to clear out the fraction
4y+40 = 3x
40 = 3x-4y
3x-4y = 40
This is in the form Ax+By = C
A = 3, B = -4, C = 40
This is not the only solution possible since we can multiply both sides by some number to scale the equation.
Answer: 3X - 4Y = - 40
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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Select whether the pair of lines is parallel, perpendicular, or neither. x=−2, y=10
Answer:
perpendicular
Step-by-step explanation:
x = -2 is a vertical line at x = -2
y is a horizontal line the two lines are perpindicular
the lines x=−2, y=10 are perpendicular to each other.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Here, The given equations are :
x=−2 and y=10
First, consider x = -2 equation :
equation x = -2 is a vertical line, parallel to x = 0 line and perpendicular to line y = 0.
Consider second line y = 10 :
line y = 10 is horizontal line and is parallel to line y = 0 and is perpendicular to line x = 0.
Therefore, the lines x=−2, y=10 are perpendicular to each other.
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What is the domain of the function represented by this graph? the graph of a quadratic function y = x^2 – 4 with a minimum value at the point (0,-4) A. -2 ≤ x ≤ 2 B. x ≥ 4 C. x ≤ 0 D. all real numbers Reset
Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.
The correct answer is option D.
To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."
Let's analyze the given function and its graph to understand why the domain is "all real numbers."
The function y = \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.
Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.
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I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
Can you help with this question? I am kinda stuck.
Answer:
29400 cm²Step-by-step explanation:
The cube has 6 equal faces.
Total surface area:
S = 6a²S = 6*(0.7 m)² = 6*(70 cm) ² = 29400 cm²Shelby keeps all her vacation pictures in 2 photo albums. One of the photo albums is 2/3 full and the other is 5/6 full. How much of the photo albums are full?
Answer: 1 1/2
Step-by-step explanation:
Find the least common multiple of 4, 2, and 7
Answer:
28
Step-by-step explanation:
So we know that 2 is already a multiple of 4 so we can just find the least common multiple of 4 and 7. So we can do:
4, 8, 12, 16, 20, 24, 28
7, 14, 21, 28
So the least common multiple between 4, 2, and 7 is 28
1 . What is the distance between the two points.
(0,5 1,3), (-0,4, -1,3) ?
2. What is the distance between the two points
(6, -3), (2, -4)
Jessica went shopping and bought a pair of jeans that were on sale for 25% off the original price of $23.98. A 6% tax was also added on to the sale price. Enter the total amount that Jessica spent on the jeans. Round your answer to the nearest cent, if necessary.
6x +30=-6 please explain what x is equal to
12 ounces for
$
8.09
dollars per ounce
ounces per dollar.
x+3+5x=
x plus three plus five x equal
Answer:
6x+3
Step-by-step explanation:
If you're just combining like terms this is the correct answer