The least possible number that satisfies the condition is 4
Let the number be a.
Thus,
Five (5) times the number = 5 × a = 5a
From the question given above, we were told that five (5) times the number when increased by 6 is 26. This can be written as:
5a + 6 = 26Finally, we shall determine the value of a. This can be obtained as follow:
5a + 6 = 26
Collect like terms
5a = 26 – 6
5a = 20
Divide both side by 5
a = 20 / 5
a = 4Therefore, the least possible number that satisfies the condition is 4
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Her nervousness had a profound.
Huh yes that would work out well I think it’s a great deal to get it done by the end of the
What is a polynomial function in standard form with zeros 1 –1 2 and 4.
The polynomial function obtained from the Zeros given, written in standard form is x⁴ - 6x³ + 7x² + 6x - 8
Hope it helps!
Answer:
x⁴ - 6x³ + 7x² + 6x - 8
Explanation:
Write the linear factor for each zero.
[tex]g(x) = (x - 1) (x + 1) (x - 2) (x - 4)[/tex]
Multiply the first two, then the second two.
[tex]g(x) = (x^{2} + x - x -1) = (x^{2} - 1) then (x^{2} - 4x - 2x + 8)[/tex]
Use the Distributive Property.
[tex](x^{2} - 1) (x^{2} - 6x + 8) = (x^{4} - 6x^3 + 8x^{2} - x^{2} + 6x - 8)[/tex]
Simplify.
[tex]x^{4} - 6x^{3} + 7x^{2} + 6x - 8[/tex]
A watchmaker can build a watch for $90. She wants to make a $50 profit on top of his cost. What should she list the sale price of the watch at if she also wants to advertise a 30% discount on her watches?
Answer: 200
Explanation: 90 + 50 = 140
x - x * 30% = 140
x * 70% = 170
x * 0.7 = 140
x = 140/0.7
x = 200
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What approximate focal length of the objective lens will give a total magnification of 200×? assume a length l = 160 mm.
Considering the data in the question, the focal length of the objective lens that will give a total magnification of 200x is 0.8cm focal length.
The whole question is:
You are using a microscope with a 10x eyepiece. What focal length of the objective lens will give a total magnification of 200x? Assume a length L = 160mm.
How was the answer derived?Given that total magnification is 200
And the Assume length is 160
Since we used a microscope with a 10x eyepiece, the magnification would be divided by 10.
=> 200 ÷ 10 = 20.
Also, the focal length is measured in centimeters or meters; we would change the millimeters of focal length to centimeters. Therefore, we have 160 ÷ 10 = 16
The formula for the focal length of the objective lens = assumed length ÷ total magnification.
=> 16 ÷ 20 = 0.8cm.
Hence, in this case, it is concluded that the correct answer is "0.8cm."
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Which of the expressions below is equivalent to 4x^2/12x^2-4.
Answer:
(846_++=-06456 AND _089_)(
Explanation:
Determine the minimum mass of hydrogen gas required to produce 226 kj of heat.
By definition, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
The reaction is as follows:
2 H₂(g) + O₂(g) → 2 H₂O(g) ΔH = - 483.5 kJ
In this reaction, you can see that 2 moles of H₂ produces 483.5 kJ of heat. But you want to release 226 kJ of heat.
So you can apply the following rule of three: if 483.5 kJ is released by 2 moles of H₂, 226 kJ of heat is released by when moles of H₂?
[tex]amount of moles of H_{2} =\frac{226 kJx2 moles }{483.5 kJ}[/tex]
amount of moles of H₂= 0.93485 moles
Molar mass is the amount of mass that a substance contains in one mole. In this case, the molar mass of H₂ is 2 [tex]\frac{g}{mole}[/tex].
So, the mass containing 0.93485 moles is calculated as:
0.93485 moles× 2 [tex]\frac{g}{mole}[/tex]= 1.8697 grams
Finally, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
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https://brainly.com/question/9846800?referrer=searchResultshttps://brainly.com/question/24150635?referrer=searchResultsBased on the graph, what conclusion can be drawn about trade between the United States and China? The United States has a trade surplus with China. China’s economy is declining, which has harmed trade. The United States has a trade deficit with China. China’s economy is improving, which has helped trade.
The conclusion that can be drawn is that the United states has a trade deficit with China.
What is a trade deficit?This trade deficit is known to often takes place only when the value of a country's imports is said to be more than the value of their exports in terms of physical goods and services.
Note a trade deficit implies that a country such as United States is buying more goods and services than they are actually selling and as such, the conclusion that can be drawn from the graph is that the United states has a trade deficit with China.
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Answer:
The United states has a trade deficit with China.
Explanation:
Its correct
Marianna is working on improving her communication skills. To be a good listener she should.
Evaluate the surface integral. S y2 ds s is the part of the sphere x2 + y2 + z2 = 36 that lies inside the cylinder x2 + y2 = 9 and above the xy-plane.
Parameterize S in cylindrical coordinates by the vector function
r(u, v) = (x(u, v), y(u, v), z(u, v))
with
x(u, v) = u cos(v)
y(u, v) = u sin(v)
z(u, v) = 36 - u²
with 0 ≤ u ≤ 3 and 0 ≤ v ≤ 2π. Take the normal vector to S to be
[tex]\vec n = \dfrac{\partial r}{\partial u} \times \dfrac{\partial r}{\partial v} = (2u^2\cos(v),2u^2\sin(v),u)[/tex]
so that the surface element is
[tex]dS = \|\vec n\| \, du\,dv = u \sqrt{1+4u^2}\, du\, dv[/tex]
Then the surface integral is
[tex]\displaystyle \iint_S y^2\,ds = \int_0^{2\pi} \int_0^3 u\sqrt{1+4u^2} \, du\, dv[/tex]
[tex]\displaystyle \iint_S y^2\,ds = 2\pi \int_0^3 u\sqrt{1+4u^2} \, du[/tex]
[tex]\displaystyle \iint_S y^2\,ds = \frac{2\pi}8 \int_0^3 8u\sqrt{1+4u^2} \, du[/tex]
[tex]\displaystyle \iint_S y^2\,ds = \frac\pi4 \int_0^3 \sqrt{1+4u^2} \, d(1+4u^2)[/tex]
[tex]\displaystyle \iint_S y^2\,ds = \frac\pi4 \cdot \frac23(1+4u^2)^{\frac32} \bigg|_0^3 = \boxed{\frac\pi6 \left(37^{\frac32}-1\right)}[/tex]
What is the most likely reason that the author begins and ends the text with the larger conversation about carbohydrates in the human diet but develops the argument about whole grains in the middle?.
Whole grains mainly consist of complex carbohydrates. These types of carbohydrates represent an excellent point of reference to explain the role of carbohydrates in the diet.
Carbohydrates, proteins, and lipids are fundamental macronutrients that must be obtained from the diet.
Carbohydrates can be divided into complex carbohydrates (e.g., starch), which provide long-term energy, and simple carbohydrates (e.g., glucose), which represent a fast source of energy.
Complex carbohydrates are composed of many monosaccharide units (i.e., simple carbohydrates) linked by glycosidic bonds.
Whole grains mainly consist of complex carbohydrates and represent an excellent point of reference to explain how the body breaks down these long molecules to produce simple carbohydrates in order to obtain energy.
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What is the main objective of the basagang palayok.
Which substances are necessary for the synthesis of most materials in an organism.
Enzymes
Explanation:
are substances necessary for the synthesis of most materials in an organism.
I hope this is an option???
The frequency and energy ranges of photons in some parts of the electromagnetic spectrum are given in the table above. Which of the following could be the energy of a photon in the visible range?.
Answer:
The amount of energy is directly proportional to the photon's electromagnetic frequency and thus, equivalently, is inversely proportional to the wavelength. The higher the photon's frequency, the higher its energy. Equivalently, the longer the photon's wavelength, the lower its energy.
The energy of photon in visible range will be of [tex]4 \times 10^{-19} J[/tex].
What is the electromagnetic spectrum?Violet, indigo, blue, green, yellow, orange, and red are hues in the electromagnetic spectrum. Blue light has a very short wavelength and hence creates more energy.
Blue light in the visible zone has a very short wavelength. So that it produces a higher amount of energy that's why the blue part of visible light transfers the most energy.
The photons in the infrared range have the lowest energy and photons in the ultraviolet range have the highest energy.
A photon in the visible range should have an energy which is between the infrared range and the ultraviolet range.
Wherever the maximum energy of a photon in the infrared range is 3 x 10-19 J and the minimum energy of a photon in the ultraviolet range is 5 x 10-19 J,
Thus, photon in the visible range could have an energy of [tex]4 \times 10^{-19} J[/tex].
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What is the vertex form of the equation? y = – x 2 + 12 x – 4.
Answer:
(6,32)
Explanation:
A wheel rotates with a constant angular acceleration of 3. 50 rad/s2.
Answer:
is this a true or false question?
Explanation:
As a result of mitosis, each of the two new cells produced from the parent cell during cytokinesis.
Answer and Explanation: As a result of mitosis, each of the two new cells produced from the original cell during cytokinesis have the same chromosomal constitution as the parental nucleus. Cytokinesis is the actual division of the cytoplasm that results in two daughter cells that are diploid. Mitosis is a type of division that occurs during growth in somatic cells through replication of chromosomes and their subsequent redistribution.
Earth is slightly closer to the sun in december than it is in june. The force of gravity of the sun on earth in december compared to june is —.
The Earth is known as a spherical body. The force of gravity of the Sun on Earth in June compared to December is slightly smaller.
Earth is simply known to slightly closer to the Sun on one side of its orbit than on the other side.Kepler's second law states that as a planet moves round the Sun, it sweeps out equal areas in equal times.
All the planets do moves around the Sun in nearly the same plane. The Sun is found to be slightly off-center from the middle of each planet's orbit.
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The answer is mashed potatoes.
Answer: what did he sayyy
Explanation:
who likes food should tell me
Explanation:
Whooo doesn't like food
A new roller coaster contains a loop the loop.
Answer: Have you ever been to that type of roller coaster?
Explanation: If so cool.
Choose the solution(s) of the following system of equations: x2 + y2 = 6 x2 – y = 6 no solution mr001-1. Jpg mr001-2. Jpg mr001-3. Jpg infinitely many solutions mr001-4. Jpg mr001-5. Jpg mr001-6. Jpg.
The solution to the system of equations are -1 and ±√5
Given the systems of equations;
[tex]x^2 + y^2 = 6\\ x^2 - y = 6[/tex]
From equation 2;
[tex]x^2 = 6 + y[/tex]..................................... 3
Substitute equation 3 into 1 to have:
[tex]6+y+y^2=6y^2+y=6-6\\y^2+y=0\\y^2=-y\\y = -1[/tex]
Substitute y = -1 into equation 3
[tex]x^2 = 6 + y\\x^2 = 6 + (-1)\\x^2 = 6 -1\\x^2=5\\x=\pm \sqrt{5}[/tex]
Hence the solution to the system of equations are -1 and ±√5
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Answer:
its a,b,c, and f on edge which is -1/2,1/2,-i squareroot2, i square root 2
Explanation:
Evaluate the line integral, where c is the given curve. C xy4 ds, c is the right half of the circle x2 + y2 = 4 oriented counterclockwise.
Parameterize C by
x(t) = 2 cos(t) ⇒ dx/dt = -2 sin(t)
y(t) = 2 sin(t) ⇒ dy/dx = 2 cos(t)
with -π/2 ≤ t ≤ π/2. Then the line element is
ds = √((dx/dt)² + (dy/dt)²) dt = 2 dt
and the line integral is
[tex]\displaystyle \int_C xy^4 \, ds = \int_{-\frac\pi2}^{\frac\pi2} 2\cos(t) \cdot (2\sin(t))^4 \cdot (2 \, dt) = 64 \int_{-\frac\pi2}^{\frac\pi2} \cos(t) \sin^4(t) \, dt[/tex]
Substitute u = sin(t) and du = cos(t) dt. Then
[tex]\displaystyle \int_C xy^4 \, ds = 64 \int_{-1}^1 u^4 \, du = \frac{64}5 (1^5 - (-1)^5) = \boxed{\frac{128}5}[/tex]
Which of the following best describes the uses of private land?.
Private property is a legal designation for the ownership of property by non-governmental legal entities.Private property is distinguishable from public property, which is owned by a state entity, and from collective or cooperative property, which is owned by a group of non-governmental entities. The distinction between private and personal property varies depending on political philosophy, with socialist perspectives making a hard distinction between the two,while others blend the two together.[better source needed] As a legal concept, private property is defined and enforced by a country's political system.
do you think the earth is round or flat
Answer:
cube
Explanation:
Excessive smoking, substance abuse, and sleep disorders are all examples of ________ symptoms of stress.
Excessive smoking, substance abuse, and sleep disorders are considered to be behavioral symptoms of stress.
It should be noted that behavior-related stress symptoms include absence and turnover, changes in productivity, changes in eating habits, increased consumption of alcohol, and smoking.
In a case where an individual who doesn't usually drink alcohol or smokes before starts drinking alcohol, it's known as behavioral symptoms of stress. In such a situation, stress leads to a change of behavior.
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Who intended to write an epic poem 12 books long? Question 3 options: Francis Drake Sir Walter Raleigh Edmund Spenser William Shakespeare.
Answer:
emund spencer
Explanation:
k12 test got it right have a great day xD
Which of the following best describes the process of translation?.
Answer:
Translation is a universal process in biology where a protein formed of amino acids is made by using messenger Ribonucleic acid (mRNA) to dictate the order of amino acids. Following transcription (the conversion of DNA into mRNA) an mRNA strand leaves the nucleus and enters the cytoplasm via the nuclear pore.
Explanation:
Your welcome!
Translation is the conversion of genetic information from the language of nucleic acid to protein, hence option 6 is correct.
Ribosomes, which are huge complexes of proteins and RNA, catalyze the translation process. Ribosomes read the RNA transcript and translate it one amino acid at a time into a protein.
Peptide bonds are used to connect the amino acids to produce a polypeptide chain. Following that, the polypeptide chain folds into its ultimate shape, which determines its function.
Translation is the process through which an RNA transcript is converted into a protein. This procedure takes place in the cell's cytoplasm.
Thus, the option 6 is correct.
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The given question is incomplete, so the most probable complete question is,
Which of the following best describes the process of translation?
The addition of nucleotides to a DNA template the addition of nucleotides to an RNA template the conversion of genetic information from DNA nucleotides into RNA nucleotides o the conversion of genetic information from the language of proteins to the language of nucleic acids None of these the conversion of genetic information from the language of nucleic acids to the language of proteinsLet y=f(x) be a twice-differentiable function such that f(1)=3 and dydx=4y2+7x2−−−−−−−√. What is the value of d2ydx2 at x=1 ?.
Answer:
55
Explanation:
Find the derivative of [tex]\frac{dy}{dx}[/tex] to get [tex]\frac{d^2y}{dx^2}[/tex] .
4[tex]\sqrt{y^2+7x^2}[/tex] = 4([tex]y^{2}[/tex]+7[tex]x^{2}[/tex])^1/2
[tex]\frac{d^2y}{dx^2}[/tex] = 4(1/2)([tex]y^{2}[/tex]+7[tex]x^{2}[/tex])^-1/2 * (2y[tex]\frac{dy}{dx}[/tex] +14x)
Plug in x=1 and y=3.
2(9+7)^-1/2 * (6[tex]\frac{dy}{dx}[/tex] +14)
2(1/4) * (6[tex]\frac{dy}{dx}[/tex] +14)
(1/2) (6[tex]\frac{dy}{dx}[/tex] +14)
3[tex]\frac{dy}{dx}[/tex] +7
Plug in [tex]\frac{dy}{dx}[/tex].
3(4[tex]\sqrt{y^2+7x^2}[/tex] ) +7
Plug in x=1 and y=3.
3(4[tex]\sqrt{9+7}[/tex] ) +7
3(4[tex]\sqrt{16}[/tex] ) +7
3(4*4)+7
3(16)+7
48+7
55
Use the drop-down menus to complete the statements below to answer this question: can you determine whether a system of linear equations has a solution just by looking at the graph of the equations?.
Answer:
The coordinates of a point satisfies the equation of a line if the point lies on the line
If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.
This means that each point where the two lines touch is a solution to the system of equations
This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true
Explanation:
Answer:
on the line
on both lines, intersect
intersect, solution
true
Explanation:
I did it on Imagine Math.
I often relate to the following groups early childhood brainly.