Answers
Answer:
[tex]-3[/tex]
Explanation:
Given
[tex]4^{\frac{1}{2} }*\frac{2}{\sqrt[4]{16} } -10\div 2[/tex]
Lets evaluate the given expression.
Remember to use PEMDAS.
In the second term, rewrite [tex]16[/tex] as [tex]2^4[/tex].
[tex]4^{\frac{1}{2} }*\frac{2}{\sqrt[4]{2^4} } -10\div 2[/tex]
Pull terms out from under the radical, assuming positive real numbers, then simplify.
[tex]4^{\frac{1}{2}} *\frac{2}{2} -10\div 2\\4^{\frac{1}{2}} *1-10\div 2\\4^{\frac{1}{2}}-10\div 2[/tex]
Rewrite [tex]4[/tex] as [tex]2^2[/tex].
[tex](2^2)^{\frac{1}{2}} *\frac{2}{2} -10\div 2[/tex]
We can use the power rule to multiply exponents.
The power rule is
[tex](a^b)^c=a^b^c[/tex]
[tex]2^{2\left(\frac{1}{2}\right) } *\frac{2}{2} -10\div 2[/tex]
Cancel the common factor of 2.
[tex]2^1*\frac{2}{2} -10\div 2[/tex]
Any number to the power of 1 stays the same.
[tex]2*\frac{2}{2} -10\div 2[/tex]
[tex]\frac{2}{2}[/tex] is equal to [tex]1[/tex]
[tex]2*1 -10\div 2[/tex]
Any number multiplied by 1 stays the same.
[tex]2-10\div 2[/tex]
Divide [tex]10[/tex] by [tex]2[/tex].
[tex]2-5[/tex]
Subtract [tex]5[/tex] from [tex]2[/tex].
[tex]-3[/tex]
Learn more about PEMDAS here
https://brainly.com/question/29172059
Learn more about the power rule here
https://brainly.com/question/24920520
Related Questions
A table with a list price of x dollars is discounted by 15% and then discounted an additional 12%. What is the final sale price of the tablet, in terms of x?
Answers
The final sale price of the tablet is 0.748x
What is discount?Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.
Reduction in price makes a psychological impact on the customer which results in the purchase. The two types of discount offered are trade discount and cash discount.
x is discounted by 15%
= x × 15/100
= 15x /100
The new price = x -15x/100
= 85x/100
It is discounted again by 12%
85 x/100 × 12/100
= 1020x/10000
= 102x/100
The final sale price
= 85x /100 - 102 x/1000
= (850x-102 x)/1000
= 748x/1000
= 0.748x
Therefore the final sale price is 0.748x
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The complete combustion of ethanol, c2h5oh (fw = 46. 0 g/mol), proceeds as follows: c2h5oh(l) + 3 o2(g) → 2 co2(g) + 3 h2o(l) δh = −555 kj what is the enthalpy change for combustion of 15. 0 g of ethanol?.
Answers
The enthalpy change for combustion of 15.0 g of ethanol in the chemical reaction is -180.93 kJ.
The enthalpy change for combustion of 15.0 g of ethanol can be calculated using the equation:
ΔH = (ΔH°/mol) × (mol/mass) × mass
Where ΔH° is the standard enthalpy change for the reaction, mol is the number of moles of ethanol, and mass is the mass of ethanol in grams.
Given that the standard enthalpy change for the combustion of ethanol is -555 kJ, the molecular weight of ethanol is 46.0 g/mol, and the mass of ethanol is 15.0 g, we can plug these values into the equation:
ΔH = (-555 kJ/mol) × (1 mol/46.0 g) × (15.0 g)
Simplifying the equation gives:
ΔH = (-555 kJ/mol) × (0.326 mol)
ΔH = -180.93 kJ
Therefore, the enthalpy change for combustion of 15.0 g of ethanol is -180.93 kJ.
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How can you ensure that messages from a trusted email address will not be identified as spam or junk email?
Answers
Answer:
Add the massage to the Safe Sender's list
In passage 2, president Obama begins with a reminder to the audience of important laws former president Lyndon b Johnson signed into effect in 1965 what impact does this have on the development of president Obama claim
Answers
Answer:
A
Explanation:
just do it
Simulate an environment with equal amounts of insects and seeds, but no fruit. Which flock will be able to eat the most? The least? Why?
Answers
In an environment with equal amounts of insects and seeds, but no fruit, the flock that will be able to eat the most will be the one that has a diet consisting mainly of insects and seeds.
The advantage of the abundanceThis is because they will be able to take advantage of the abundance of these two types of food sources and consume them at a higher rate than flocks that have a diet consisting mainly of fruit.
On the other hand, the flock that will be able to eat the least will be the one that has a diet consisting mainly of fruit. This is because there are no fruit available in this environment, and they will have to rely on the limited amount of insects and seeds available to them. This will result in them consuming less food overall and potentially struggling to find enough food to sustain themselves.
Overall, the ability of a flock to consume the most food in this environment will depend on their dietary preferences and the availability of different types of food sources. Flocks that have a diet consisting mainly of insects and seeds will be able to consume the most food, while flocks that have a diet consisting mainly of fruit will be able to consume the least.
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Answer:
Flock Y will eat the most and Flock X will eat the least.
Explanation: