Answer:
\(7^8=5764801\)
Step-by-step explanation:
\((7^4)^2=7^{4*2}=7^8=5764801\)
Remember that when you raise a base with an exponent to an exponent, you multiply the exponents
Answer:
5764801
Step-by-step explanation:
multiply 4 by 2
(7⁴)²
so it will be 7⁸
7⁸ = 7*7*7*7*7*7*7*7
then work it out from there
=5764801
The table represents a sample of ages and people and their shoes size.
please help me and let me know if this is a function or not and please show me how you got it
Answer:
The table does not represent a function.
Step-by-step explanation:
Every function must have a exactly one y-value for every x-value. Two different x-values can have the same y-value, but two different y-values cannot have the same x-value.
In the table, we see that the same x-value has two different y-values:
\((15, \textbf{10}),\\(15, \textbf{10.5})\)
Thus, the table does not represent a function.
Sangeeta divide R 40000 between her two daughterRimmy and Simmi in the ratio 3:5 Find the hare of each daughter
share of rimmy and simmi is rs15000 and rs25000.
this question is of ratio and proportion, and the solution is as follows,
total amount = rs 40000
Rimmy and Simmi in the ratio = 3:5
sum of shares= 3+ 5 = 8.
so,
share of Rimmy is = 3/8 X 40000
= 120000/8
= 15000
share of simmi is = 5/8 X 40000
= 200000/8
= 25000
so the share of rimmy and simmi is rs15000 and rs25000.
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you have a total of 21 coins that are nickels and quarters. the total is $3.25. How many nickels do you have? and quarters?
Answer:
There are 10 nickels and 11 quarters in the jar.
Step-by-step explanation:
Given that:
Total coins = 21
Total value = $3.25 = 3.25*100 = 325 cents
One nickel = 5 cents
One quarter = 25 cents
Let,
x be the number of nickels
y be the number of quarters
According to given statement;
x+y=21 Eqn 1
5x+25y=325 Eqn 2
Multiplying Eqn 1 by 5
5(x+y=21)
5x+5y=105 Eqn 3
Subtracting Eqn 3 from Eqn 2
(5x+25y)-(5x+5y)=325-105
5x+25y-5x-5y=220
20y=220
Dividing both sides by 20
\(\frac{20y}{20}=\frac{220}{20}\\y=11\)
Putting y=11 in Eqn 1
x+11=21
x=21-11
x=10
Hence,
There are 10 nickels and 11 quarters in the jar.
25 students in class A did a science exam.
30 students in class B did the same science exam.
The mean mark for the 25 students in class A is 67.8
The mean mark for all the 55 students is 72.0
Work out the mean mark for the students in class B.
Answer:
class B
Step-by-step explanation:
12 - 19x - 10 -14x pleaaaase heelp meee
Answer:
-33x+2 I hope this is the answer
please please PLEASE help
The value of the slope is 1 and the value of the y-intercept is 6.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (10 - 6 ) / ( 4-0)
Slope = 4 / 4 = 1
The y-intercept will be calculated as,
y = mx + c
6 = 0 + c
C = 6
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the color to match on the left is represented by the binary rgb values 11011011 01101110 11001100. convert each color component into decimal in order to match the color.
The decimal values for the RGB color components are 219, 110, and 204, respectively, to match the given color.
To convert the binary RGB values to decimal, we need to consider each 8-bit component separately. The first component, 11011011, represents 219 in decimal. The second component, 01101110, represents 110 in decimal.
Finally, the third component, 11001100, represents 204 in decimal. Thus, the decimal values for the RGB color components are 219, 110, and 204, respectively, to match the given color.
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4x-1=3y+5 intercepts from an equation
why is it generally true that populations accumulate late-acting deleterious mutations because of drift, but accumulate antagonistic-pleiotropic alleles because of selection, even though both have late acting deleterious effects
Populations tend to accumulate late-acting deleterious mutations through genetic drift, while they accumulate antagonistic-pleiotropic alleles through natural selection, despite both types having late-acting deleterious effects.
Genetic drift, a random process that affects gene frequencies in populations, allows for the accumulation of late-acting deleterious mutations without regard to their fitness consequences. Since drift is not driven by selection, harmful mutations can persist and accumulate over time. In contrast, natural selection acts on antagonistic-pleiotropic alleles, favoring the ones with beneficial effects early in life, even if they have deleterious late-acting effects. This selective pressure promotes the accumulation of alleles that provide immediate fitness advantages but also carry later costs, as long as the overall benefits outweigh the drawbacks.
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for 0 ≤ t ≤ 30 , the rate of change of the number of mosquitoes on tropical island at time t days is modeled by r(t)
The rate of change of the number of mosquitoes on a tropical island for 0 ≤ t ≤ 30 is modeled by r(t). The behavior and interpretation of the rate of change will depend on the specific context and characteristics of the function r(t).
Let's explain this in detail below:
For 0 ≤ t ≤ 30, the rate of change of the number of mosquitoes on a tropical island at time t days is modeled by r(t). This implies that r(t) is the derivative of the mosquito population, P(t), with respect to time, t. In other words, r(t) = dP/dt, where dP/dt is the change in the population P with respect to the change in time t over an infinitesimal time period. Hence, the mosquito population changes as a function of time due to the mosquito's life cycle, the environment, and other factors that influence their survival.
The mosquito population model helps us to understand how their population changes over time and the factors that influence them. Mosquitoes reproduce and die, and these processes are captured in the mosquito population model. The model also considers the environment, which includes rainfall, humidity, temperature, and other factors that affect mosquito breeding, feeding, and survival.
Additionally, mosquito control measures such as insecticides, repellents, and other interventions also affect mosquito populations. Understanding the rate of change of mosquito populations is crucial for predicting mosquito-borne disease outbreaks and designing effective control strategies.
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-10(2m+1)=-50
solve for m
Answer:
Step-by-step explanation: Distributing the -10 to the parentheses, we get:
-20m -10 = -50
Adding 10 to both sides:
-20m = -40
dividing both sides by -20:
m = 2
So the solution for m is 2.
Answer:
-7
Step-by-step explanation:
Distribute the -10: -20-10m=50
Add 20 to both sides: -10m=70
Divide by -10 to isolate 70
m = -7
Which of this following is an expression
Answer:
Step-by-step explanation:
expressions dont have an equal sign but they have either a plus, minus, multiplying or dividing sign
can you please explain this problem for me
2 (-3+4)-3 (6÷-2)
Answer:
18
Step-by-step explanation:
What is the decimal equivalent to the fraction 7/20?
Answer:
0.35 (is the answer i have too type this so i can send it. i have to type 20 charters to send it)
The pH scale for acidity is defined by pH= -log subscript 10 [H superscript+] where [H superscript+] is the concentration of hydrogen ions measured in moles per liter (m).
A solution has a pH of 8.4
Calculate the concentration of hydrogen ions in moles per liter (M)
Answer:
The concentration of hydrogen ions in moles per liter (M) is \(3.981 * 10^{-9}\)
Step-by-step explanation:
As we know
The hydrogen ion concentration of any solution at pH is given by
\(H^+ = 10^{-pH}\)
Substituting the given values in above equation, we get -
\(H^+ = 10^{-8.4}\\H^+ = 3.981 * 10^{-9}\) mol/l
The concentration of hydrogen ions in moles per liter (M) is \(3.981 * 10^{-9}\)
What is pooled mean standard error?
The pooled mean standard error is a measure of the variability associated with the difference between two group means in a statistical hypothesis test with equal variances.
The pooled mean standard error is a measure of the variability or uncertainty associated with the difference between two group means in a statistical hypothesis test, where the two groups have equal variances. Specifically, it is the standard error of the difference between the means of two independent samples, calculated by combining the standard errors of the two sample means into a single estimate.
The formula for the pooled mean standard error is:
SEp = \(\sqrt{ [ (s1^2/n1) + (s2^2/n2) ]}\)
where SEp is the pooled mean standard error, s1 and s2 are the standard deviations of the two samples, n1 and n2 are the sample sizes, and sqrt represents the square root function.
The pooled mean standard error is used in the calculation of the t-statistic in a two-sample t-test, which is used to test the hypothesis that there is a significant difference between the means of the two groups. By accounting for the variability of both groups, the pooled mean standard error provides a more accurate estimate of the standard error of the difference between the means, which in turn allows for more precise hypothesis testing.
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numerical expressions:(I need help)
1.) x-27=(-14) x=?
2.) x-72=12 x=?
3.) x*12=60 x=?
1). Add 27 to each side of the equation.
2). Add 72 to each side of the equation.
3). Divide each side of the equation by 12.
write log7t as a base 2 logarithm. note: if you are using log you need to type it in and use the subscript button on the keyboard. there is no log button.
By using logarithm principles, log₇t in base 2 logarithm equals log₂t/log₂7.
What is logarithm?The most frequent logarithms are common logarithms with a base of 10, binary logarithms with a base of 2, and natural logarithms with a base of e 2.71828. A logarithm is the number of powers that a number must be raised to in order to acquire another number (see Section 3 of this Math Review for more about exponents). The base ten logarithm of 100, for example, is 2, because ten raised to the power of two equals 100: log 100 = 2.
Here,
logₓy=logₐy/logₐx
log₇t=log₂t/log₂7
log₇t in base 2 logarithm is log₂t/log₂7 by the help of properties of logarithm applied.
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Sean's party will cost $60 if he invites 12 guests. Which expression does NOT equal the amount that Sean will spend per party guest in dollars?
Options :
A) 12⟌60
B) 60 ÷ 12
C) 60⟌12
Answer:
C) 60⟌12
Step-by-step explanation:
Given that :
Total cost of inviting 12 guests to a party = $60
To obtain the cost per guest :
Total cost of invitation / number of guests
That is ; we divide the cost of inviting the guests by the number of guests invited
$60 / 12 = 12⟌60
The expression 60⟌12 is incorrect as this means 12 / $60
please help me thanks
Answer:
E
R
R
R
E
E
Step-by-step explanation:
explanation
Matthew plays soccer for h hours per day for five days in a row. Over the weekend, he played in a soccer tournament for a total of 6.5 hours. Which expression represents the number of hours Matthew played soccer in a full week? 5 + h + 6.5 5h + 6.5 StartFraction h over 5 EndFraction + 6.5 11.5hMariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79. Which expression models her purchase? 3 b minus 35.79 35.79 + 3 b 35.79 b minus 3 35.79 minus 3 b
Answer:
Part(A): The expression which represents the number of hours Matthew played soccer in a full week is \(5h + 6.5\)
Part(B): the expression models her purchase is \(35.79-3b\).
Step-by-step explanation:
Consider the provided information.
Part(A):
Matthew plays soccer for h hours per day for five days and he played a soccer tournament for a total of 6.5 hours.
So the required expression is: \(5h + 6.5\)
Where 5h represents time spent in 5 days and 6.5 is the hours of the soccer tournament.
Part(B):
Mariah purchases three hair barrettes by using a gift card.
Let the cost of each barrette is b.
So the cost of 3 barrettes is: \(3b\)
She uses a gift card with a balance of $35.79. Therefore subtract \(3b\) from $35.79.
Her purchase can be expressed as:
\(35.79-3b\)
Hence, the required expression is \(35.79-3b\).
Answer:
5h + 6.5
Step-by-step explanation:
i just did the test on edg
box 1 contains 3 red and 8 yellow balls, whereas box 2 contains 2 red and 1 yellow balls. a ball is drawn from a randomly selected box. let be the event that the ball is red, and the event that the ball came from box 2. are they independent?
The given events A and B are not independent events.
What is probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place.Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.As there is no information given on the probability if selecting Box 1 and Box 2, thus we assume the event of selecting any of the boxes as equi-probable
P(A) = 1/2 * 3/11 + 1/2 * 2/3 = 31/66
P(B) = 1/2
P(A|B) = 2/3
Thus, we can see that P(A|B) is not equal to P(A)
So, the events A and B are not independent events.
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A local little league ha a total of 60 player, of whom 20% are right-handed. How many right-handed player are there?
There are 12 players of right handed, according to the question.
What do you mean by percentage?
A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.
According to data in the given question,
We have given data:
A local little league has a total of 60 players of whom 20% are right-handed.
Let x be the total number of players that are right-handed.
The value of x can be found as follow:
x = 20% of 60
x = (20/100)60
x = 0.2(60)
x = 12
Therefore, the total number of players that are right-handed is 12, if the local little league has a total of 60 players of whom 20% are right-handed.
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a cereal box and its dimensions are shown in the diagram. what is the total surface area of the box in square centimeters?
3561.5 cm² is the surface area of the cereal box.
To find the total surface area of the cereal box, we need to find the area of all six faces and add them together.
The cereal box has dimensions of 44.5 cm x 28.5 cm x 7 cm.
The area of the top and bottom faces is:
44.5 cm x 28.5 cm = 1269.75 cm²
The area of the front and back faces is:
44.5 cm x 7 cm = 311.5 cm²
The area of the left and right faces is:
28.5 cm x 7 cm = 199.5 cm²
Adding up the areas of all six faces, we get:
1269.75 cm² + 1269.75 cm² + 311.5 cm² + 311.5 cm² + 199.5 cm² + 199.5 cm²
= 3561.5 cm²
Therefore, the total surface area of the cereal box is 3561.5 square centimeters.
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Complete question:
A ticket agent sells 24 tickets to a play. The tickets cost $70 each. Use rounding to estimate the total
dollars taken in from the sale of the tickets.
Question Help: Video
Submit Question
Answer:
$1,608
Step-by-step explanation:
I think you have to do $70 x 24
Answer:
$1680
Step-by-step explanation:
For 1 ticket price=$70
For 24 ticket price=$70 x 24
=$1680
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x = 96.62, y= 94.75, r=0.879, P-value = 0.000, and ŷ = -2.59 + 1.01x, where x represents the IQ score of the twin born first. Find the best predicted value of ý given that the twin born first has an IQ of 109?
Answer:the best predicted value of ý when the twin born first has an IQ of 109 is 107.50
Step-by-step explanation:
Given the regression equation:
ŷ = -2.59 + 1.01x
We need to predict the value of ý when x (IQ score of the twin born first) is 109.
So we substitute x = 109 into the regression equation:
ŷ = -2.59 + 1.01(109)
ŷ = -2.59 + 110.09
ŷ = 107.50
Therefore, the best predicted value of ý when the twin born first has an IQ of 109 is 107.50.
Find the inverse of f(x)=7.50x
The turtle's distance from his starting point is increasing
between
seconds.
The turtle's distance from his starting point is constant
between
seconds.
The turtle's distance from his starting point is
decreasing between
seconds.
Answer:
10 seconds, decreasing, standing still
Step-by-step explanation:
As elevation increases, the atmospheric air pressure decreases. The air pressure P in pascals given the altitude a in meters is a = 15,500 (5 - log₁0 P). What is the air pressure at the peak of Mount Marcy, which has an elevation of 1629 meters? Round your answer to the nearest whole pascal.
The air pressure at the peak of Mount Marcy is approximately 164.17 pascals.
What is air pressure?Air pressure, also known as atmospheric pressure, is the force exerted by the weight of the Earth's atmosphere on any given surface. It is the weight of the column of air that extends from the Earth's surface up to the top of the atmosphere.
What is Pascal?The Pascal (symbol: Pa) is the SI (International System of Units) unit of pressure, named after the French mathematician and physicist Blaise Pascal. One pascal is defined as the pressure exerted by the force of one Newton on an area of one square meter. In other words, 1 Pa = 1 N/m².
According to the given informationWe are given the formula that relates the altitude (a) and the atmospheric air pressure (P):
a = 15,500 (5 - log₁0 P)
We are also given that the altitude at the peak of Mount Marcy is 1629 meters. We can use this information to find the atmospheric air pressure at the peak of Mount Marcy by plugging in a = 1629 and solving for P:
1629 = 15,500 (5 - log₁0 P)
Dividing both sides by 15,500, we get:
(5 - log₁0 P) = 1629 / 15,500
Subtracting 5 from both sides, we get:
-log₁0 P = (1629 / 15,500) - 5
Simplifying the right-hand side, we get:
-log₁0 P = -1.5454
Taking the inverse logarithm (base 10) of both sides, we get:
P = 10⁻¹.⁵⁴⁵⁴
Using a calculator, we can evaluate this expression to get:
P ≈ 164.17 pascals
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Which is the best definition of an Equilateral Triangle ?
A. A triangle that has at least 2 congruent sides
B. A triangle that has Three congruent sides
C. A triangle in which no two sides are congruent
Step-by-step explanation:
The answer is B I'm positive