The value of \(-4^{-2}\) without Exponent is \(\frac{1}{16}\)
What are Exponents?The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 3^4 indicates that we have multiplied 3 four times. Its full form is 3×3×3×3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.
How many times we must multiply the reciprocal of the base is indicated by a negative exponent. For instance, if a^-n is provided, it can be stretched to 1/a^n. It implies that we must multiply 1/a 'n' times, which is the reciprocal of a. When writing exponentiated fractions, negative exponents are employed.
Calculation:Given;
(-4)⁻² , That implies we have to multiply reciprocal of -4 "2" times .
⇒\(\frac{1}{-4}\)×\(\frac{1}{-4}\)=\(\frac{1}{16}\)
The value of \(-4^{-2}\) without Exponent is \(\frac{1}{16}\)
To refer more about Exponents, visit:
https://brainly.com/question/13669161
#SPJ1
WILL GIVE BRAINLIEST write an equation for the nth term of the sentence and find the 91st term -2,3,8,13,...
Answer:
y=X+5?
Step-by-step explanation:
This is a hard one but this may be correct
There are 7 days in a week.
Let x represent the number of weeks and y represent the corresponding number of days.
Complete the table using the equation y=7x.
x y
5
6
7 49
8
Answer:
Step-by-step explanation:
The equation is y=7x
x y Calculation
5 35 y=7x, y=7*5, y=35
6 42 y=7x, y=7*6, y=42
7 49 y=7x, y=7*7, y=49
8 56 y=7x, y=7*8, y=56
Please help and thank you
Answer:
A. \(4^3*6^3\)
Step-by-step explanation:
First, you solve the given equation.
\((4*6)^3\\\\=24^3\\=13824\)
You solve the multiple choice afterwards. Since choice A was given first, we managed to find the answer.
\(4^3 * 6^3\\\\=64 * 216\\=13824\)
Choice A has the same answer as the given equation, making them equivalent.
the physician orders gemcitabine 960 mg iv weekly for the patient. the pharmacy sends 5 vials of gemcitabine and a package insert. how many milliliters of diluent will the nurse add to the vials? what is the resulting dosage strength? how many milliliters of reconstituted gemcitabine will the nurse administer? round to the nearest tenth.
The nurse will add 40 mL of diluent to the vials, resulting in a dosage strength of 48 mg/mL. The nurse will administer 20 mL of reconstituted gemcitabine.
To calculate these values, we can use the information provided in the package insert. If each vial contains 200 mg of gemcitabine powder, then 5 vials would contain a total of 1000 mg. To prepare a dose of 960 mg, the nurse would need to use 4.8 mL of the reconstituted solution.
To determine the amount of diluent needed, we can use the formula:
Amount of Diluent = Total Volume - Amount of Powder
The total volume is the sum of the volumes of the powder and the diluent. If the package insert recommends a diluent volume of 40 mL per vial, then the total volume for 5 vials would be:
Total Volume = 5 x (4 mL + 40 mL) = 220 mL
So the amount of diluent needed is:
Amount of Diluent = 220 mL - 5 x 4 mL = 200 mL
Therefore, the nurse will add 40 mL of diluent to the vials.
The resulting dosage strength is:
Dosage Strength = Total Amount of Powder / Total Volume
Total Amount of Powder = 1000 mg
Total Volume = 200 mL
Dosage Strength = 1000 mg / 200 mL = 5 mg/mL
To administer a dose of 960 mg, the nurse would need to use:
Amount of Reconstituted Solution = Dose / Dosage Strength
Amount of Reconstituted Solution = 960 mg / 5 mg/mL = 192 mL
Rounding to the nearest tenth, the nurse will administer 20 mL of reconstituted gemcitabine.
To know more on dosage strength
https://brainly.com/question/31027023
#SPJ4
Rewrite using the
Distributive Property.
-(16x - 3) - [?]+)
Answer:
-(16x - 3) - [?] +)
-16x + 3 - [?] +)
Step-by-step explanation:
In distributive property tells us how to solve wexpressions in the form of a(b+c). So in this case, the answer is: -16x+3-[?]+
Jerry started doing sit-ups every day. The first day he did 19 sit-ups. Every day after that he did 4 more sit-
ups than he had done the previous day. Today Jerry did 81 sit-ups. Write an equation that could be solved
to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the
number of days.
An equation that can help Jerry to find the number of days he has been dolng sit-ups is given by
Answer:
81 - 19 = 62 ÷ 4 = 15.5 days (?)
PLEASE NO FILES OR LINKS
Answer: 16
Step-by-step explanation:
Answer:
It should be 16
Step-by-step explanation:at the you would take the 8 because that tells you half the length of the side then at the bottom there is also the other half of the line
Which expression is equivalent to 4(2x + 1)?
8x + 1
8x +4
6x + 5
O
2x + 4
Answer:
8x + 4
Step-by-step explanation:
You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4
Find an equation of the tangent line to the curve at the given point. y = x , (64, 8)
The equation of the tangent line to the curve at the given point. y = x (64, 8) is x - 16y + 192 = 0
How to calculate the equation?From the information, f'(64) = Lim f(x) - f(64)/ x - 64
= Lim ✓x - ✓64/x - 64
f(x) = ✓x and a = 64
Slope = f'(x) = 1/2x^1/2 = 1/2✓x
f'(64) = 1/2✓64) = 1/16
Therefore, the equation will be x - 16y + 192 = 0.
Learn more about equations on:
brainly.com/question/2972832
#SPJ4
Determine the answer to (-5) + 4 and explain the steps using a number lin
Answer:
I cant do it in a number line but it is -1
с
6 yd
8 yd
What is the length of the hypotenuse?
C =
yards
Answer:
10 yds
Step-by-step explanation:
Pythagorean Theorem is \(A^{2} +B^{2} =C^{2}\)
So, \(6^{2} +8^{2} =C^{2}\)
\(36+64=C^{2}\)
\(100=C^{2}\)
C=10
determine co-ordinates for A B and C
will give brainliest
Answer:
A = (-1, 0)
B = (0, -1)
C = (0, -2)
Explanation:
Coordinates of A
To determine the coordinates of A set any of the equations to zero.
\(\sf \rightarrow -\dfrac{2}{x} -2 = 0\)
\(\sf \rightarrow -\dfrac{2}{x} = 2\)
\(\sf \rightarrow -2 = 2x\)
\(\sf \rightarrow x = -1\)
As the point lies on the x axis, y = 0.
So A coordinates: (-1, 0)
Coordinates of B
To find the coordinates of B set x = 0 in the equation f(x) = (1/2)^x - 2
\(\sf \rightarrow y = (\dfrac{1}{2} )^x - 2\)
\(\sf \rightarrow y = (\dfrac{1}{2} )^0 - 2\)
\(\sf \rightarrow y = 1 - 2\)
\(\sf \rightarrow y = -1\)
As the point lies on the y axis, x = 0.
So B coordinates: (0, -1)
Coordinates of C
To find the coordinates of C insert any high limit value in both eq.
\(\sf \rightarrow y = (\dfrac{1}{2} )^{10000} - 2=-2\)
\(\sf \rightarrow y = -\dfrac{2}{10000} -2 = -2.0002\)
So estimated that y = -2 and x = 0 as lies on y axis.
So C coordinates: (0, -2)
The segments shown below could form a triangle 6 5 8 true or false
It is true to state that segments 6 5 8 could form a triangle. Where AC = 6, CB =5 and BA = 8. See the explanation for the same below.
What is a Triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The total lengths of any two sides must always be larger than the length of the third side in order to make a triangle.
This is shown as follows:
6 + 5 = 11 > 8
5 + 8 = 13 > 6
8 + 6 = 14 > 5
Given that the side lengths meet the preceding criterion, a result, the supplied segments may be used to build a triangle.
Learn more about Triangles:
https://brainly.com/question/17335144
#SPJ1
True, the segments 6, 5, and 8 form a triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let ABC is a triangle
AB=6
BC=5
CA=8
To form a triangle the sum of any two sides must be greater than the third side.
AB+BC>CA
6+5>8
11>8
BC+CA>AB
5+8>6
13>6
CA+AB>BC
8+6>5
14>5
It satisfies the condition for forming a triangle.
Hence the segments form a triangle.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
Select the correct answer from each drop-down menu.
157
The expression above can also be written in the form ac.
Answer:
For this expression:
a=15 , b=7 and c=4
Step-by-step explanation:
We are asked to find the value of a,b and c by representing the given expression:
in the form of:
where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.
We know that the expression of the type:
is also written as:
Hence, we get our expression as:
Hence, we have:
a=15, b=7 and c=4
a=15 , b=7 and c=4
Step-by-step explanation:
Just had this on a test!
Answer: a=15 b=7 c=4
Step-by-step explanation:
Good
Classify the function as linear, quadratic, or exponential.
f(x)=16^x
The given function f(x) = 16^x is an exponential function.
An exponential function is a mathematical function in which an independent variable appears in the exponent. In this case, the base of the function is 16, and the variable x is the exponent.
In the given function f(x) = 16^x, the variable x represents the exponent to which 16 is raised. As x increases, the function value grows rapidly, indicating exponential growth. The base of 16 signifies that the function is being multiplied by 16 for each unit increase in the exponent.
In contrast, a linear function has a constant rate of change, and a quadratic function has a squared term. The given function does not involve a linear relationship or a squared term, which confirms that it is not a linear or quadratic function.
Therefore, based on the given form f(x) = 16^x and the exponential growth nature of the function, we can classify it as an exponential function.
Learn more about exponential function here:
brainly.com/question/29287497
#SPJ11
14
Which of the following equations does not have a solution of x = 0.5?
Α.
10x - 5 = -2x + 1
B
-2x + 6 = -6x + 8
C
-5x + 10 = x + 7
X Х
3x + 3 = -2x + 13
Answer:
3x + 3 = -2x + 13 doesn't
Step-by-step explanation:
given ∆LMN~ ∆PQR name The corresponding angles and corresponding sides
We need to compare both triangles and see the angles that are equal, So:
Angle M is corresponding with angle Q, angle L is corresponding with angle P, and angle N is corresponding with angle R.
Then, the longest side of the triangle LMN is the side LN, and the longest side of the triangle PQR is the side PR. So, LN and PR are corresponding.
In the same way, the shortest side of the triangle LMN is side LM and the shortest side of the triangle PQR is side PQ. So, LM and PQ are corresponding.
Finally, side MN is corresponding with side QR
A cone with a height of 15 yards has a volume of 475.17yd find the diameter of the cone
Answer:
11......................
Volume = (1/3) . π . r² . h
475.17 = (1/3) . π . r² . 15
475.17 = 5πr²
r² = 475.17/5π
r² = 30.25
r = √30.25 = 5.5
Diameter = 2r = 2 × 5.5 = 11 yd
Find the 84th term of the arithmetic sequence 18, 31, 44,. 18,31,44,
the answer is 1097 because I calculated every single thing.
Givenc DF || EH, DR || ZEG, and DF EH
Prove: H is the midpoint of FG
Statements
DF || ER, DH || EG
1)
ZDFHLEHG and LDHF LEGH
ADFHAENG
FR HG
His the midpoint of FG
Reasons
Given
Given
2)
3)
4)
5)
Which statement belongs in space number 2?
Corresponding Angles
Vertical Angles
Alternate Interior Angles
Given
Time Remaining
The measure of angle EDF is 140°, and the measure of angle HDE is 160°.
Given the parallel lines DF || EH, DR || ZEG, and alternate interior angles, we can determine some of the missing angles as explained below:When two parallel lines are intersected by a transversal line, they form eight angles, four on the top and four on the bottom. The four on top are the exterior angles, and the four on the bottom are the interior angles. Interior angles have two types; Alternate Interior Angles and Corresponding Angles.Alternate Interior Angles are opposite angles on opposite sides of the transversal, but on the inside of the parallel lines. They are equal in measure, as long as the parallel lines are cut by a transversal.
The alternate interior angles for the two parallel lines DF || EH and DR || ZEG are as shown in the diagram below:Parallel linesDF || EH and DR || ZEGAlternate interior anglesAs we can see in the diagram above, the alternate interior angles are congruent. Therefore, we can find the missing angle values by applying the alternate interior angles property. Let us consider the triangles below:triangleDEG and triangleDFHAngle EDF is the exterior angle of triangleDEG,Angle HDE is the exterior angle of triangleDFHBy applying the Exterior Angle Theorem, we know that the measure of an exterior angle of a triangle is equal to the sum of its remote interior angles.
in triangleDEG:Angle EDF = Angle EGD + Angle GDEAngle EDF = 80 + 60Angle EDF = 140°In triangleDFH:Angle HDE = Angle DHF + Angle DAFAngle HDE = 120 + 40Angle HDE = 160°
for more search question angle
https://brainly.com/question/25770607
#SPJ8
verifying identity plz help!
Sin(x+y) sin(x-y)=sin²x-sin²y
Answer:
Step-by-step explanation:
sin(x+y) = sin(x)cos(y) + sin(y)cos(x)
sin(x-y) = sin(x)cos(y) - sin(y)cos(x)
Sin(x+y)sin(x-y) = (sin(x)cos(y) + sin(y)cos(x))(sin(x)cos(y) - sin(y)cos(x))
= sin^2(x)cos^2(y) - sin^2(y)cos^2(x)
= sin^2(x)(1-sin^2(y)) - sin^2(y)(1-sin^2(x))
= sin^2(x) - sin^2(x)sin^2(y) - sin^2(y) + sin^2(x)sin^2(y)
= sin^2(x) - sin^2(y)
So L.H.S=R.H.S
Hence proved
A Moving to another question will save this response. ≪ Question 16 4 points Jean purchases a house for $750,000 and is able to secure an interest only, 5 year fixed rate mortgage for $600,000 at 5% interest. After five year, the house appreciates to $792078.31. What is Jean's equity as a percent of the house value? Write your answer as a percent rounded to two decimal points without the % sign (e.g. if you get 5.6499%, write 5.65 ). Nastya takes our a 10-year, fixed rate, fully amortizing loan for $622422 with 5.2% interest and annual payments. What will be her annual payments? Round your answer to the nearest cent (e.g. if your answer is $1,000.567, enter 1000.57).
Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).
To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.
Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.
To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.
Therefore, Jean's equity as a percent of the house value is 24.26%.
Now, let's move on to Nastya's question.
To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:
P = r * PV / (1 - (1 + r)^(-n))
Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments
Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years
First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.
Next, we substitute the values into the formula and solve for P:
P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))
Using a calculator, we get P ≈ $7,350.68.
To learn more about annual payments
https://brainly.com/question/18958209
#SPJ11
Find the x intercepts of x-4 over x2+4x+3
Answer:
B
Step-by-step explanation:
a fraction is equal to 0 when the numerator is 0
x - 4 = 0
x = 4
The correct answer is x=4.
Step-by-step explanation:
When the numerator is 0, a fraction is equal to 0.
x - 4 = 0
x = 4
Learn more about fractions:
brainly.com/question/10354322
If n = 460 and ˆ p (p-hat) = 0.7, construct a 99% confidence
interval. Give your answers to three decimals < p?
The n = 460 and ˆ p (p-hat) = 0.7. The 99% confidence interval for the population proportion is (0.668, 0.732) < p.
To construct the 99% confidence interval, we can use the formula:
p-hat ± Z * sqrt((p-hat * (1 - p-hat)) / n)
Where:
p-hat is the sample proportion,
Z is the z-score corresponding to the desired confidence level, and
n is the sample size.
Given that n = 460 and p-hat = 0.7, we need to find the value of Z. Since we want a 99% confidence interval, we need to find the z-score that corresponds to an area of 0.995 in the standard normal distribution table. This value is approximately 2.576.
Now we can calculate the margin of error:
Margin of Error = Z * sqrt((p-hat * (1 - p-hat)) / n)
= 2.576 * sqrt((0.7 * (1 - 0.7)) / 460)
≈ 0.032
Finally, we can construct the confidence interval:
Confidence Interval = p-hat ± Margin of Error
= 0.7 ± 0.032
≈ (0.668, 0.732)
Therefore, the 99% confidence interval for the population proportion is (0.668, 0.732) < p.
To know more about confidence intervals, refer here:
https://brainly.com/question/32544308#
#SPJ11
you will find information about the statistics used and the findings of statistical tests in which section of the research report?
The section of the research report that may have the information about the statistical parameter used and the findings of statistical tests is the "Results" and ''Reference" section.
The results section usually comes after the introduction and literature review sections of the research report.
A research report is a document that outlines the results of a study conducted by an individual or a group. The research report is a written record of the study and includes information about the research design, data collection, data analysis, and findings. A research report can be written in different formats, depending on the discipline and audience.
Statistics refers to the collection, analysis, interpretation, presentation, and organization of data. Statistics help researchers to draw conclusions from data and make informed decisions. Statistical tests are used to determine whether the results of a study are statistically significant, which means that the results are unlikely to have occurred by chance. Statistical tests are an essential part of the research process, and the findings of these tests are reported in the results section of a research report.
Learn more about statistical hypothesis testing : https://brainly.com/question/15980493
#SPJ11
Write out the first 4 terms of an infinite geometric series whose sum, S = 2/(4 - 6x ^ 4)
Answer:
Step-by-step explanation:
Write out the first 4 terms of an infinite geometric series whose sum, S = 2/(4 - 6x ^ 4)
Which graph below represents an inequality that begins with y < . . . .
The graph which could represent an inequality which begins with y < .... is; Choice C; C.
Which of the answer choices represents an inequality: y < ...?It follows from the task content that the graph which could represent an inequality that begins with y < ..is required to be determined.
Since the inequality symbol is less; it follows that the boundary line for the inequality would be a broken line and the region shaded is the region below the line.
Ultimately, the graph that could represent the inequality is; Choice C; C.
Read more on graph of inequalities;
https://brainly.com/question/24372553
#SPJ1
I need help quick 16 mins left and I’m on the last question
Answer:
try 2+2 that should work
Keisha buys 2 pens at the store. Each pen costs $2. Which graph shows the coordinates of the point that represents the number of pens that Keisha buys and the total cost? PLES IM DOING A TEST RN
The coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)
How to determine the graph shows the coordinates of the point that represents the number of pens that Keisha buys and the total cost?The given parameters are
Number of pen = 2
Unit price = $2
This means that the total amount spent is
Total amount = Number of pen * Unit price
Evaluate the product
Total amount = 2 * 2
Evaluate the product
Total amount = 4
So, the coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)
Read more about coordinate at:
https://brainly.com/question/17206319
#SPJ1