If she babysits for 65 days total, she would make $1,950 in all
What is the earnings of Sally per day of babysitting?
The earnings that Sally realize from one day of babysitting is the pay per hour multiplied by the number of hours Sally works per day as shown below:
earnings per day=hourly rate*number of hours a day
hourly rate=$10
number of hours a day=3
earnings per day=$10*3
earnings per day=$30
Now, the earnings at she realizes from 65 days of babysitting can be determined as the earnings made in one day multiplied by the number of days she spent babysitting
earnings for 65 days=$30*65
earnings for 65 days=$1,950
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What is the area
of this no
rectangle?
Answer:
60
Step-by-step explanation:
Answer:
the area is 60m
Step-by-step explanation:
10 x 6 = 60
Brainliest Please!!??!!!!!!!!
The perimeter of an equilateral triangle is 5.1 m. How long are its sides?
Answer:
1.7 meters
Step-by-step explanation:
because an equilateral triangle has 3 sides and they are all the same you can just divide 5.1 by 3
5.1 / 3 = 1.7
it is 1.7 m
Answer:
x are sides of the traingle
5.1 = 51upon10 51/10
51 upon 10 =3x
3x = 51 upon 10
x= 3/51 upon 10 =
x= 3*10upon 51
=10upon 17
side of the traingle is 10/17
Step-by-step explanation:
What is the area of the figure? O 1240 units? 0 1250 units? o 2490 units? 0 3730 units
Answer:
2490
Step-by-step explanation:
The 2 shapes are triangle and trapezoid
Area of a triangle formula: A= h×b/2
A=40×62/2
A=1240
Area of a trapezoid formula: base¹+base²/2×height
A= 38+62/2×25
A=1250
Add both areas together
1250+1240=2490
Solve the simultaneous equation
X+3y=13
X-y=5
Answer:
x = 7
y = 2
Step-by-step explanation:
In the above question, we are given 2 equations which are simultaneous. To solve this equation, we have to find the values of x and y
x + 3y = 13 ........ Equation 1
x - y = 5...........Equation 2
From Equation 2,
x = 5 + y
Substitute 5 + y for x in Equation 1
x + 3y = 13 ........ Equation 1
5 + y + 3y = 13
5 + 4y = 13
4y = 13 - 5
4y = 8
y = 8/4
y = 2
Since y = 2, substitute , 2 for y in Equation 2
x - y = 5...........Equation 2
x - 2 = 5
x = 5 + 2
x = 7
Therefore, x = 7 and y = 2
Find the surface area of a square pyramid with side length 6 cm and slant height 4 cm.
Answer:
84 cm²Step-by-step explanation:
The total surface area includes:
The square base with side of 6 cmFour triangle faces with base 6 cm and height 4 cmThe area is:
A = 6² + 4(1/2*6*4) = 36 + 48 = 84 cm²1. Brenda invited 32 people to her graduation party. If each person will drink about 3 cups of punch, how many gallons of punch does Brenda's mom need to buy?
Answer: 96
Step-by-step explanation: Its pretty simple all you have to do is 32*3 because there is 32 people and they all drink 3 cups fruit punch. SO the answer is 96.
The gallons of punch Brenda's mom needs to buy is 6 gallons.
How many gallons of punch should be bought?The first step is to convert cups to gallons: 1 cup = 1/16 gallon
The second step is to determine the total number of cups needed for the party: 32 x 3 = 96 cups
Now convert the cups to gallons: 96 x 1/16 = 6 gallons
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help pleasejhdfjg THIS ASSIGNMENT IS LIKE 2 WEEKS OVERDUE
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas (b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below. (c) The final total area is 2x² - 10x - 15.
What is an area model?An area model is a way to visualize multiplication by breaking up the larger rectangle into smaller rectangles whose areas represent the products of the terms being multiplied. To determine the correct rows and columns for the area model, we count the number of terms in each factor and use that as a guide. For example, if one factor has 3 terms and the other has 4 terms, we would use a 3x⁴ area model, with 3 rows and 4 columns.
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas.
b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below.
2x⁴ − 3x³ − 2x² − 4x − 1
+---------------------------------------
x | 2x⁵ -3x⁴ -2x³ -4x² -x
|
3 | 6x⁴ -9x³ -6x² -12x -3
+---------------------------------------
c) To find the total area of a rectangle with length (x + 8) and width (x − 5), we can use an area model with 2 rows and 2 columns. The length (x + 8) corresponds to one dimension of the rectangle, while the width (x − 5) corresponds to the other dimension. The area of each smaller rectangle in the model represents the product of one term from each factor.
x + 8 x - 5
+--------------------
x | x² + 8x x² - 5x
|
-5 | -5x + -40 -5x + 25
+--------------------
The final total area can be found by adding up the areas of the smaller rectangles:
Total area = x² + 8x + x² - 5x - 5x - 40 + 25
= 2x² - 10x - 15
= 2x² - 10x - 15.
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3. Consider the quadratic equation x2 + 2x - 35 = 0. Solve by factoring and using the zero-product property. What are solutions to quadratic equations called? Show your work.
Answer:
×=-2+12/2,the anwser is ×=5,×=-7
hello,i need help with this question:
The sum of the measures of angle M and angle R is 180⁰.
• The measure of angle M is (5x+10)⁰.
• The measure of angle R is 55⁰.
What is the value of x?
☺
Answer:
x = 23
Step-by-step explanation:
If the sum of angles is equal to 180 then we can write and equation to find the value of x
5x + 10 + 55 = 180 add like terms
5x + 65 = 180 subtract 65 from both sides
5x = 115 divide both sides by 5
x = 23
A car travels 360 miles in 8 hours (with a constant speed How much time will it take traveling 168 miles?
We were told that the car travels 360 miles in 8 hours.
Recall that
Speed = distance/time
Speed of the car = 360/8 = 45 miles per hour
Since the speed is constant, it means that the constant speed of the car is 45 miles per hour.
Also,
Time = distance/speed
For the car to travel 168 miles,
Time = 168/45
= 3.73 hours
The time taken to cover 168 miles is 3.73 hours.
It is given in the question,
Distance = 360 miles
Time = 8 hours
We have to find the speed of the car,
We will use the formula,
Speed = Distance / Time
Speed = 360 / 8
Speed = 45 miles/hours.
Since the speed is constant,
We have to find time,
Time = Distance / Speed
Time = 168 / 45
Time = 3.73 hours.
Therefore, the time taken to cover 168 miles is 3.73 hours.
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What is the term in mathematics for the operation or number that leaves others unchanged when combined with them? In multiplication, it is one, while in addition, it is zero?
The term is called an identity element. In multiplication, the identity element is one because any number multiplied by one results in the same number. In addition, the identity element is zero because any number added to zero results in the same number.
The term in mathematics for the operation or number that leaves others unchanged when combined with them is called the identity element.
It is also known by the name of neutral element.
In multiplication, the identity element is one (1) because when you multiply a number by one the result remains the same as the original number. For any number a,
a1=1a=a.
While in addition, the identity element is zero (0) because when you add zero to a number, the result remains the same as the original number. For any number a,
a+0=0+a=a.
There is no identity element for subtraction, and division only has an identity element for certain sets.
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Jacob rolls two fair number cubes. The faces of the number cubes are labeled 1 through 6. If Jacob rolls the number cubes at the same time,
which list contains all the outcomes in which both cubes land on a number less than 3?
Answer:
(1,1), (1,2), (2,1), (2,2)
Step-by-step explanation:
Which inequality represents the sentence below?
Two more than a number is less than 14.
2+13 14
2+1 <14
2+12 14
2+77 > 14
Answer:I would think the inequality would look like 2+x<14
Answer:
2 + n < 14
Step-by-step explanation:
find parametric equations for the line. (use the parameter t.) the line through (−4, 2, 3) and parallel to the line 1 2 x
The parametric equations for the line are:
x = -4 + t
y = 2 + 2t
z = 3 + xt where t is the parameter that represents the position along the line.
To find the parametric equations for the line through the point (-4, 2, 3) and parallel to the line with direction vector (1, 2, x), we can use the following approach:
Let's denote the parametric equations as:
x = x₀ + at
y = y₀ + bt
z = z₀ + ct
We know that the line is parallel to the vector (1, 2, x). Since the line is parallel, the direction ratios (a, b, c) will be the same as the direction ratios of the given vector.
So, we have:
a = 1
b = 2
c = x
Now, we need to determine the initial point (x₀, y₀, z₀) on the line. Since the line passes through (-4, 2, 3), we can assign these values as the initial point:
x₀ = -4
y₀ = 2
z₀ = 3
Therefore, the parametric equations for the line are:
x = -4 + t
y = 2 + 2t
z = 3 + xt
where t is the parameter that represents the position along the line.
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In this figure, AB∥CD and m∠1=110°. What is m∠5 ? 90° 180° 70° 110°
Answer:
110 hope u get a good grade:) add me on ig welia.martinez
.
Step-by-step explanation:
Help me with my ixl please
Answer:
35
Step-by-step explanation:
60/100 x 21/x
60x x 2100
60/60 2100/60
x=35
Table 2 is Proportional because when I cross multiply 2 times 3 and 1 times 6, I get 6. The products are the same
What is the actual question?
Suppose you are testing the null hypothesis that the average number of screaming 12 year-olds at Ariana Grande concerts is equal to the known population average of screaming 12 year-olds at Drake concerts. You will reject the null hypothesis if...
You will reject the null hypothesis if your sample average is in the area of the null hypothesis sampling distribution called alpha.
In summary, to reject the null hypothesis, the sample average needs to fall in the area of the null hypothesis sampling distribution known as alpha.
To explain the answer, hypothesis testing involves comparing a null hypothesis (the statement being tested) with an alternative hypothesis. In this scenario, the null hypothesis states that the average number of screaming 12-year-olds at Ariana Grande concerts is equal to the known population average of screaming 12-year-olds at Drake concerts.
To make a decision about the null hypothesis, we calculate the sample average from data collected at Ariana Grande concerts. We then compare this sample average to a predetermined significance level called alpha.
If the sample average falls within the critical region, which is determined by alpha, we reject the null hypothesis. The critical region represents extreme values that would be unlikely to occur if the null hypothesis were true.
Therefore, if the sample average is in the area of the null hypothesis sampling distribution called alpha, we reject the null hypothesis, indicating that there is a significant difference between the average number of screaming 12-year-olds at Ariana Grande concerts and the known population average at Drake concerts.
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The complete question is :
Suppose you are testing the null hypothesis that the average number of screaming 12 year-olds at Ariana Grande concerts is equal to the known population average of screaming 12 year-olds at Drake concerts. You will reject the null hypothesis if.....
a)your null (comparison) average is in the area of the alternative hypothesis sampling distribution called D (Beta)
b) your null (comparison) average is in the area of the alternative hypothesis sampling distribution called u (alpha)
c)your sample average is in the area of the null hypothesis sampling distribution called beta
d)your sample average is in the area of the null hypothesis sampling distribution called alpha.
Find the smallest positive integer n so that f(x) = x1.log(x7 ) + x7.log(x4 ) is big-O of xn.
The smallest positive integer n so that f(x) = \(x1.log(x7) + x7.log(x4)\) is big-O of xn is 7.
we need to understand what it means for a function to be big-O of another function. In simple terms, it means that the first function grows no faster than the second function, up to a constant factor. Mathematically, we say that f(x) = O(g(x)) if there exist positive constants C and k such that |f(x)| <= C|g(x)| for all x > k. In this case, we want to find the smallest positive integer n such that f(x) = \(O(x^n)\). To do this, we can rewrite f(x) as follows:
f(x) = \(x1.log(x7) + x7.log(x4)\)
= \(log(x7^x1) + log(x4^x7)\)
=\(log(x7^x1 * x4^x7)\)
Now, we can see that the function inside the logarithm is a product of powers of x4 and x7, which means that it grows no faster than \(x^7\). Therefore, we can conclude that f(x) = O\((x^7)\). To show that this is the smallest possible value of n, we would need to demonstrate that f(x) is not O\((x^6)\), but that is beyond the scope of this answer.
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What is y -0.12y ???
Answer:
ill look for you
Step-by-step explanation:
Answer:
Step-by-step explanation:
y-0.12y = 0.88y
Find the measurement of the missing side in each right triangle.
Answer:
12
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
in this case its
\(5^{2}\) + \(b^{2}\) = \(13^{2}\)
25 + \(b^{2}\) = 169 subtract 25 from both sides
\(b^{2}\) = 144 take square root of each side
b = 12
Answer:
\(12\)
Step-by-step explanation:
----------------------------------------
In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: \(a^2+b^2=c^2\)
So,
\(5^2+b^2=13^2\)
\(25+b^2=169\)
\(b^2=144\)
\(b=12\)
--------------------
Hope this helps.
Ant Farming You have an ant farm with 33 ants. The population of ants in your farm will double
every 3 months. The table shows the population growth of the ants over nine months. Decide whether
the table represents a linear function or a nonlinear function. After one year, how many ants will there
be in the ant farm?
Population of Ants
Number of
0 3 6 9
Months
Population 33 66 132 264
The table represents a __
function.
After one year there will be __ ants in the ant flarm.
Answer:
linear, 264*2 = 528
Step-by-step explanation:
Which expression is equivalent to √125x6^y15^z3^?
Answer:
\(5x^2y^5z\)
Step-by-step explanation:
Hello!
Expand the cube root:
\(\sqrt[3]{125x^6y^{15}z^3}\)\(\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}\)Use exponent rule:
\(\sqrt[a]{b^c} = b^{\frac ca}\)Simplify\(\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}\)\(5^{\frac33}*x^{\frac63}*y^{\frac{15}{3}}*z^{\frac33}\)\(5 * x^2 * y^5 * z\)\(5x^2y^5z\)The answer is \(5x^2y^5z\).
The coordinates of the vertices of a triangle are A(-6,-3), B(-5,2), C(-2,-2). If the coordinates are changed to A' (6,-3), B(5,2). C'(2,-2), what transformation was
Performed?
Answer:
a
Step-by-step explanation:
jefioweodke = f0eoddjeoe -2fkoforkg f = A
2.1 Convert the following common fractions to decimal fraction. 2.1.2.
\( \frac{9}{25} \)
The decimal fraction that represents the given fraction is: 0.36.
How to convert to decimal fractionsTo convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:
1. 25 divided by 9
This cannot go so, we put a zero and a decimal point as follows: 0.
Then we add 0 to 90
2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3
3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.
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Which of the following conditions must be met in order to construct a 99% confidence interval for the true mean difference in pretest and posttest scores? (a) The distribution of both pretest scores and posttest scores must be approximately Normal. (b) The distribution of pretest scores and the distribution of differences (post-pre) must be approximately Normal (c) Only the distribution of pretest scores must be approximately Normal (d) Only the distribution of differences (post --pre) must be approximately Normal. (c) All three distributions (pretest, postecst, and the difference) must be approximately Normal.
The correct answer is (c) Only the distribution of pretest scores must be approximately Normal
How is conditions for 99% CI calculation?
In order to construct a 99% confidence interval for the true mean difference in pretest and posttest scores, we need to meet certain conditions. The only condition that must be met is that the distribution of pretest scores should be approximately Normal. This means that the data collected from the pretest should follow a bell-shaped curve, with the majority of the scores being clustered around the mean. This condition is important because it helps us to make accurate statistical inferences about the population mean difference based on the sample data. The distribution of posttest scores or the difference between posttest and pretest scores are not required to be normal for constructing a confidence interval.
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To construct a 99% confidence interval for the true mean difference in pretest and posttest scores, the condition that must be met is only the distribution of differences (post-pre) must be approximately Normal. Thus, the correct option is D.
When constructing a confidence interval for the true mean difference in pretest and posttest scores, it is only necessary for the distribution of the differences to be approximately Normal. The distributions of the pretest and posttest scores themselves do not need to be Normal, as long as the difference between them is approximately Normal.
However, if all three distributions (pretest, posttest, and the difference) are approximately Normal, this can improve the accuracy and precision of the confidence interval.
Therefore, D is the correct option.
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Let △ABC be a right triangle with m∠C = 90°. Given tan ∠A = 0.25, find tan ∠B.
==========================================================
Rule:
If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )
-------
Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.
So,
tan(B) = 1/( tan(A) )
tan(B) = 1/( 0.25 )
tan(B) = 4
-------
Here's another way to think about it.
If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25
When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,
tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.
For any of these cases, we don't involve the hypotenuse AB.
A right triangle with legs of lengths (x 1) and (2x-2) has an area of 80. what is the length of the shorter leg?
The shorter length of the leg of the right triangle is 10 units.
Given that a right triangle has legs (x+1) and (2x-2) has an area of 80, we need to find the length of the shorter leg,
Since we know that the area of a right triangle is the product of both legs divided by 2,
So,
[(x+1) × (2x-2)] / 2 = 80
[2x² - 2x + 2x - 2] / 2 = 80
Simplifying the equation,
x² - 1 = 80
x² = 81
x = 9
Now, put the value of x in the given measures of the legs,
x + 1 = 9 + 1 = 10
2(9) - 2 = 16 - 2 = 14
Hence the shorter length of the leg of the right triangle is 10 units.
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What is 1-2n+5=6? What is the value
Answer:
n = 0
Step-by-step explanation:
1 - 2n + 5 = 6
Add the numbers on the left side.
-2n + 6 = 6
Subtract 6 from both sides.
-2n = 0
Divide both sides by -2.
n = 0
Answer:
n=0
Step-by-step explanation:
1-2n+5=6
6 −2n=6
-2n=6-6
-2n=0
n=0
A population of scores has and . If 5 points are added to every score in the population, then the new mean and standard deviation would be
The new mean μ + 5, and the new standard deviation σ, the same as the original standard deviation.
To determine the new mean and standard deviation after adding 5 points to every score in the population, to understand the effects of adding a constant value to each score.
Mean: When a constant value is added to every score, the mean is also increased by that constant value. Therefore, the new mean would be the original mean plus 5.
Standard Deviation: Adding a constant value to each score does not change the standard deviation. The standard deviation is a measure of dispersion and is not affected by a uniform increase or decrease in scores.
So, if the original mean of the population is denoted by μ and the original standard deviation by σ, then the new mean would be μ + 5, and the new standard deviation remain unchanged at σ.
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