There are 28 ways in which a couple can choose the name of the baby for its name.
What is defined as the combination?A combination is an algebraic technique for determining the number of possible arrangements in a set of items in which the order of the selection is irrelevant. You can choose the items in just about any order in combinations. Permutations and combinations are often confused.If we need to choose objects from two groups of x and n objects so that one object from each group is chosen, we can do so by calculating the combinations possible by:
= ˣC₁ × ⁿC₁
Let 'x' be the set of first name = 7
Let 'n' be the set of second name = 4
Putting the values in formula;
= ⁷C₁ × ⁴C₁
= 7 × 4
= 28
Thus, there are 28 ways in which a couple can choose the name of the baby for its name.
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The complete question is-
A couple has narrowed down the choices of a name for their new baby to 7 first names and 4 second names.
How many different first- and second-name arrangements are possible?
a rental company charges 65 a day and 20 cents a mile for renting a truck. Michael rents a truck for 4 days, and his bill came to 346. how many miles did he drive?
the difference of 13 and m
The algebraic expression for the difference of 13 and m is 13 - m
What are algebraic expressions?Algebraic expressions are simply defined as mathematical expressions made up of variables, terms, coefficient, constants, and factors
They are also composed of arithmetic or other known mathematical operations which includes;
AdditionDivisionBracketParenthesesSubtractionMultiplication, etcExamples of an algebraic expressions;
2x - y + 4
Where;
2x and -y are the termsx and y are the variables4 is the contantGiven the statement
The difference of 13 and m
Difference here signifies subtraction
m is the variables
It is represented as: 13 - m
Hence, the expression is 13 - m
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The complete question:
Write the algebraic expression for the difference of 13 and m
Normally a chef uses 13 ounces of chocolate to make chocolate chip cookies. But he started using 16.12 ounces instead. He should advertise the cookies as having _____ percent more chocolate
Group of answer choices
Answer:
24%
Step-by-step explanation:
[tex]16.12 - 13 = 3.12\\3.12 * 100 = 312 \\312 / 13 = 24[/tex]
24% more chocolate
1.00 + 0.24 = 1.24
13 * 1.24 = 16.12
What is 6 5/8, 6.73, 5 1/3 in least to greatest?
Answer:
6.73 i think
Step-by-step explanation:
.................
A customer left $66.00 for a bill that was $55.00. What percent of the cost of the meal did the customer leave as a tip?
Answer:
20%
Step-by-step explanation:
10% of 55 is 5.5 so 20% is 11 which is how much extra he paid
whats the gcf and distributive property of 15+36
The gcf of 15 and 36 is 3 and 15 + 36 by distributive property is 51.
What is gcf?
The gcf(greatest common factor) is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.
What is distributive property?
According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. A (B + C) = AB + AC.
Given that, 15 and 36
Factor of 15 = 3 × 5
Factor of 36 = 2 × 2 × 3 × 3
gcf of 15 and 35 is 3 because 3 only one 3 is common in both the number.
Applying distributive property on 15 an 35 = 15 + 36
= 3×5 + 3×12
= 3(5 + 12)
= 3(17) = 51
Therefore, the gcf of 15 and 36 is 3 and 15 + 36 by distributive property is 51.
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Find all integer solutions of each system of inequalities:
6-4b>0
3b-1>0
The integer solutions for the given system of inequalities 6-4b>0 , 3b-1>0 is b=1 .
In the question ,
the system of inequalities is given as
6-4b>0
3b-1>0
Solving the first inequality ,
6-4b>0
simplifying further , we get
6>4b
4b<6
b<6/4
b<3/2
b<1.5 ....(i)
Solving the second inequality ,
3b-1>0
simplifying further , we get
3b>1
b>1/3
b>0.3 ...(ii)
Combining the equation(i) and equation(ii) from above , we get ,
0.3 < b < 1.5
So, the integer solutions lying between 0.3 < b < 1.5 is b=1 .
Therefore , the integer solutions for the given system of inequalities is b=1 .
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I NEED HELP!!! NOW PLEASE, WILL GIVE BRAINLYIST.
Determine the interval(s) for which the function shown below is increasing.
Answer:
(-∞, -3) and (-1, ∞)
Step-by-step explanation:
A function is increasing when the gradient is positive.
A function is decreasing when the gradient is negative.
A function is stationary when the gradient is zero.
From inspection of the given graph, the turning points of the function are (-3, 3) and (-1, -1). Therefore, the gradient is zero at these points.
From inspection of the graph:
The function is increasing on the interval (-∞, -3).The function is stationary at x = -3.The function is decreasing on the interval (-3, -1).The function is stationary at x = -1.The function is increasing on the interval (-1, ∞).Therefore, the function is increasing on the intervals (-∞, -3) and (-1, ∞).
a grocery store sells a bag of 4 oranges for $1.72 . if christopher spent $1.29 on oranges how many did he buy
Christopher would be able to purchase 3 oranges but if the grocery store only sells them in bags of 4 then he would not have enough money to purchase any.
To find our answer we do 4 divided by 1.29 and that is how many he can afford which is 3.1
pls give brainliest
Answer:
He bought 3 oranges
Step-by-step explanation
Divided $1.72 by 4 which gives $0.43
So each orange cost $0.43
0.43 times 3 equals $1.29
a baseball team plays in a stadium that holds 68000 spectators. with the ticket price at $11 the average attendance has been 28000. when the price dropped to $10, the average attendance rose to 34000. assume that attendance is linearly related to ticket price.
with the ticket price at $11 the average attendance has been 28000. when the price dropped to $10, the average attendance rose to 34000. Then the equation is y= -6000x+94000
We need to write expression of the attendance in terms of the price of the tickets. We can determine the percentage increase of the attendance by decreasing the tickets price. We can have two points:
(11,28000) and (10,34000)
We have calculate the slope:
m= ( 34000 - 28000)/ (10-11)
m= - 6000
Substitute point into:
y= mx +c
28000= -6000*11+c
28000+66000=c
94000=c
The equation is:
y= -6000x+94000
where x is the ticket price and y is the attendance.
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What is the image of the point (-5,-7) after a rotation of 270° counterclockwise about the origin?
Answer:
7, -5
Step-by-step explanation:
-5, -7 after a rotation of 270 degrees lands in quadrant 2 left y positive where x negative. while 90 degree clockwise is equal to 270 degree counterclockwise = 7 ,-5 What are the coordinates of the image after a rotation of 90 clockwise?
When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M’ (k, -h). Therefore, the new position of point M (-2, 3) will become M’ (3, 2).
How do you calculate a 90 degree rotation?
The rule for a rotation by 90° about the origin is (x,y)→(−y,x) .
What is the image of point 3/5 If the rotation is?
Answer: The image point will be (-3, -5) .
How do you find the coordinates of the image of a point after a 270 degree rotation?
Answer – To find the coordinates of point (x,y) after a 270° counterclockwise rotation about the origin, multiply the x-coordinate by -1 and then interchange the x- and y-coordinates.
How do you find the rotation point?
The x coordinate of the rotated point is rcos(θ), and the y coordinate is rsin(θ). If you plug in 5 and 66.87 for r and θ, you find that the rotated point (x1,y1) = (1.964, 4.598).
What is 270 degrees rotated?
270 Degree Rotation When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.
What is 90 degrees counterclockwise?
90 Degree Rotation When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
How do you rotate a point 90 degrees clockwise?
Answer: To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x).
What is a 90 degree rotation clockwise?
Answer: To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). Let’s understand the rotation of 90 degrees clockwise about a point visually.
How do you calculate a 90 degree rotation? The general rule for rotation of an object 90 degrees is (x, y) ——–> (-y, x). You can use this rule to rotate a pre-image by taking the points of each vertex, translating them according to the rule, and drawing the image.
When to rotate point c 180 or counterclockwise?
And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotation. Point C after a 270-degree rotation. This example should help you to visually understand the concept of counterclockwise geometry rotations.
How to calculate the coordinate point of rotation?
The following formula can be used to calculate the coordinate point in the x-y plane that has rotated by some angle (θ) about the x-axis. Note these formulas are for clockwise rotation. X=xcos (θ)+ysin (θ) Y=−xsin (θ)+ycos (θ) Where X is the new X coordinate. Y is the new Y coordinate. and θ is the angle of rotation.
What is the definition of rotation in geometry?
Rotation Geometry Definition: A rotation is a change in orientation based on the following possible rotations: 90 degrees clockwise rotation 90 degrees
1. Line Y is parallel to line W. What is the
measurement of
Answer:
ALL THE ANSWERS AND THE EXPLANATION ARE IN THE PIC I JUSTV ATTACHED!!
Step-by-step explanation:
kevin works for a company that manufactures solar panels. in a large batch of solar panels, about 1 in 200 is defective. suppose that kevin selects a random sample of six solar panels from this batch. what is the probability that none of the solar panels are defective? use excel to find the probabilit
The probability that none of the solar panels are defective is 0.97.
What is probability?The probability is the likelihood that something will happen, to put it simply. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.The study of events that fit into a probability distribution is known as statistics.The foundation for the modern mathematical theory of probability was built by Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal in their analysis of games of chance in the sixteenth and seventeenth centuries, respectively.So, the faulty solar panel percentage, p = 1/200 = 0.005.
q = 1 - p = 1 - 0.005 q = 0.995 is the percentage of solar panels that are in good condition.Sample size, n = 6 likelihood that there are no damaged solar panels:
P(X=0)P = 0.97So, the probability: 0.97
Therefore, the probability that none of the solar panels are defective is 0.97.
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unos grandes almacenes vendieron 1 millon de kilos de comida en total entre verduras,carne,pescad,panaderia pero el marte vendieron mucho menos, exactamente 5 menos de comida que el lunes cuanto kilos de comida vendieron el martes
The quantity of food that was sold on Tuesday will be 9999995 kilograms.
How to calculate the value?From the information, it was stated that the department store sold 1 million kilograms of food for vegetables and other foodstuffs.
It was stated that on Tuesday, that sold 5 less than what they sold the previous day.
Therefore, the quantity that was sold on Tuesday will be:
= Quantity sold previous day - 5
= 1,000,000 - 5
= 9999995 kilograms
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A department store sold 1 million kilos of food in total between vegetables, meat, fish, bakery but on Tuesday they sold much less, exactly 5 less food than on Monday how many kilos of food did they sell on Tuesday
Show that the two triangles are congruent. PLs help
Ignore the angles of triangle DEF. They complicate things when they don't need to be like that.
The distance from E to F is 3 units since there are 3 spaces between the points. Or you could subtract the x coordinates of each point, so 7-4 = 3.
So far we have one pair of congruent sides
EF = BC = 3
----------------------
Let's use the distance formula to find the distance from D to E
[tex]D = (x_1,y_1) = (3,-1) \text{ and } E = (x_2, y_2) = (7,-4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (-1-(-4))^2}\\\\d = \sqrt{(3-7)^2 + (-1+4)^2}\\\\d = \sqrt{(-4)^2 + (3)^2}\\\\d = \sqrt{16 + 9}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
Segment DE is exactly 5 units long.
We have another pair of congruent sides between the two triangles
AB = DE = 5
----------------------
We'll use the distance formula one last time to find the length of side FD.
[tex]D = (x_1,y_1) = (3,-1) \text{ and } F = (x_2, y_2) = (4,-4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-4)^2 + (-1-(-4))^2}\\\\d = \sqrt{(3-4)^2 + (-1+4)^2}\\\\d = \sqrt{(-1)^2 + (3)^2}\\\\d = \sqrt{1 + 9}\\\\d = \sqrt{10}\\\\\sqrt{10} \approx 3.162278 \approx 3.2\\\\[/tex]
Side FD is approximately 3.2 units long, which matches with AC = 3.2
--------------------
Here are the three paired sides that are congruent to one another
AB = DE = 5BC = EF = 3AC = FD = 3.2 approximatelySince we have three pairs of congruent sides, we can use the SSS (side side side) congruence theorem to prove the triangles are congruent.
Congruent triangles are identical copies or clones of one another. One triangle is just a reflected and translated version of the other.
This means they have the same corresponding angle measures, and the same corresponding side lengths.
PLEEASE HELP ASAP AAA
Stanley ate 3/8 of a pizza. his brother ate 3/4 of a pizza how much pizza did they eat in all
Answer:
The Answer is 1 1/8
Step-by-step explanation:
When Stanley ate 3/8 of a pizza and his brother ate 3/4 of a pizza, the amount eaten in all is 1 1/8 of the pizza.
What is a fraction?A fraction simply means a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Stanley ate 3/8 of a pizza and his brother ate 3/4 of a pizza.
Therefore, the amount eaten by both of them will be:
= 3/8 + 3/4
= 3/8 + 6/8
= 9/8
= 1 1/8.
The amount is 1 1/8.
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Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.
The total number of outcomes is 24.
In probability theory, an outcome is a possible result of an experiment or trial.
Each possible conclusion of a particular experiment is unique, and many outcomes are incompatible (only one outcome will occur on each trial of the experiment). All possible outcomes of an experiment make up the elements of a sample space.There is a possibility that events with probabilities between 0 and 1 will occur (inclusively). Each outcome is given a probability inside a discrete probability distribution with a finite sample space. On the other hand, a continuous distribution only permits the assignment of non-zero probabilities to ranges of events, with all individual outcomes having a zero chance.When a number cube is rolled there are 6 distinct outcomes
{1,2,3,4,5,6} = 6
Again when a spinner is spun there are 4 possible outcomes
The total number of outcomes = 6 × 4 = 24
Hence there are 24 distinct outcomes.
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How long should a person cool down after physical activity? responses 1 to 2 minutes 1 to 2 minutes 5 to 10 minutes 5 to 10 minutes 10 to 15 minutes 10 to 15 minutes 15 to 20 minutes
Answer:
15 to 20 minutes
Step-by-step explanation:
Answer:
10-15
Step-by-step explanation:
i took the test
Write the integer that represents the situation.
The temperature was 5°F. It dropped so that the temperature was -5°F..
represents the change in temperature.
°F
Answer:
the change was -10f
Step-by-step explanation:
if you start at five and go down to five you were going down 10 digits so it would be -10
ASAP PLEASE
Solve the following word problem using elimination. Set up a system of equations before solving in order to receive full credit.
The difference between two numbers is 4. The sum of the smaller number and three times the larger number is 36. What are the two numbers?
The two numbers are 10 and 6.
Now, let's take the larger number to be x and the smaller number to be y.
According to the question,
We have the following details:
The difference between two numbers = 4
So, we have the following expression:
(x-y) = 4 .... (1)
The sum of the smaller number and three times the larger number = 36
So, we have the following expression:
(3x+y) = 36 ....(2)
Now, we will use the elimination method to solve these equations. So, we will add equation 1 and 2.
(Please note that the left hand side is added to the left hand side and the right hand side numbers are added to the right hand side numbers.)
(x-y+3x+y) = (4+36)
4x = 40
x = 40/4 (4 is in multiplication on the left hand side. So, it is in the division on the right hand side.)
x = 10
Now, putting the value of x in equation 1,
(x-y) = 4 .... (1)
(10-y) = 4
-y = 4-10
-y = -6
y = 6
Hence, the larger number is 10 and the smaller number is 6.
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question content area top part 1 a farmer has 240 bushels of to sell at roadside stand. sells an average of 15 3/5 each day. represent the total change in the number of bushels has for sale after 6 days
Given,
Total no. of bushels = 240
On average, no. of bushels sold by the farmer each day = [tex]15\frac{3}{5}[/tex] =[tex]\frac{78}{5}[/tex]
Therefore,
total no. of bushels sold by the farmer at the end of 6th day
= [tex]15\frac{3}{5}[/tex] x 6 = [tex]\frac{78}{5}[/tex] x 6 = 78 x 1.2 = 93.6
So, no. of bushels left = 240 - 93.6 = 146.4
Hence, the change in bushels is of 93.6 after 6 days of sale.
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Tom sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit of $125, how many t-shirts did he sell?
The total number of t-shirts sold by Tom equals to 17 t-shirt.
What is a profit?Basically, a profit refers to the difference between the revenue that an entity has received from its outputs and the opportunity costs of its inputs.
We need to note that he made a total profit of $125. From here, we will proceed to use that data to solve other sections.
From the total profit of $125, he also made a profit of $40 from selling hats. That means that the T-shirt sales alone gives him a profit of $85 ($125 - $40).
Total quantity of t-shirt sold is computed as follows:
= Total profit from t-shirt / Profit per shirt
= $85 / $5
= 17 t-shirt
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3,000 + 5,045x = 5,545x
x = 6
Step 1: Simplify both sides of the equation.
5045x + 3000 = 5545x
Step 2: Subtract 5545x from both sides.
5045x + 3000 − 5545x = 5545x − 5545x
−500x + 3000 = 0
Step 3: Subtract 3000 from both sides.
−500x + 3000 − 3000 = 0 − 3000
−500x=−3000
Step 4: Divide both sides by -500.
−500x/−500 = −3000/−500
Answer: x=6
9. A maze at a county fair is made from
275 bales of hay. The maze at the state fair
is made
from 4 times as many bales of hay.
How many bales of hay are used for the maze
at the
state fair?
Use the area model to factor 66–55r.
Is 7 a factor of 49t + 30?
Number 7 is not a factor of the number 49t + 30.
What is defined as the factor?A factor is a number which divides another number by itself and leaves no remainder.
In other sayings, if multiplying 2 whole numbers yields a product, the numbers being multiplied are factors of a product because of product is divisible by them.
Every integer has a limited number of factors.The factor of a number is often less than or equal to that number; it can never be greater than the number.With the exception of 0 and 1, each integer has at least two factors: 1 as well as the number itself.Division and multiplication are used to find factors.For the given problem,
The equation is given as 49t + 30
For any value of t the number (49t will get completely divide by 7 leaving no remainder behind).
But 30 is not the factor of 7 as it will leave the remainder 2.
Thus, adding number 30 with 49t will result in a number which is not completely divisible by 7.
Thus, 7 is not a factor of number 49t + 30.
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In Exercises 12-15, graph the linear function.
12. r(x) = 2
14. g(x) = ²x − 3
How do I graph it? Can someone PLEASE explain!!??
This is due tomorrow so pls help
Answer:
Step-by-step explanation:
Problem 12:
r(x) = 2
Since x will always be 2, it will always be a straight line.
Problem 14:
(I'm assuming the square is on the x)
g(x) = x^2-3
First, start on the y-intercept, and go down 3 as the starting value is -3. You can then substitute a number to find the next point.
For example, if you want to find if x = 1, what y will be:
1^2-3
1-3
-2
You can then do this for the rest of the points to the point.
Let f'(x) = xIn(2x). Determine a simplified expression for the rate of change of f'(x)
The simplified expression for the rate of change of f'(x) is x²(2 ln(2x) - 1)/4 + c.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
f'(x) = xIn(2x)
To find the simplified expression for the rate of change of f'(x) integrate the function:
∫f'(x) dx = ∫xIn(2x) dx
Using integration by parts:
∫uv dx = uv - ∫u'v
After solving:
∫xIn(2x) dx = x²(2 ln(2x) - 1)/4 + c
Thus, the simplified expression for the rate of change of f'(x) is x²(2 ln(2x) - 1)/4 + c.
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the following data were collected for a two-factor anova with two treatments and three blocks. treatment block 1 2 a 46 31 b 37 26 c 44 35 using the 0.05 significance level conduct a test of hypothesis to determine whether the block or the treatment means differ.
The test hypothesis using 0.05 significance level has the following results:
The treatment means differThe block means do not differPart 1:
State the null and alternative hypotheses for treatments:
Null hypothesis=treatment means do not differ
Alternative hypothesis=The means are different
State the decision rule for treatments:
Table value of F(1,2)=18.51
If the calculated F>18.51, reject the null hypothesis
Decision: Treatments
Calculated F=43.75 >18.51, here, we reject the null hypothesis
Hence, we conclude that the treatment means differ.
Part 2:
State the null and alternate hypotheses for blocks.
Null hypothesis=block means do not differ
Alternative hypothesis: At least on pair of means are different
Also, state the decision rule for blocks:
Table value of F(2,2)=19.0
If the calculated F >19.0, reject the null hypothesis
Decision: Blocks
Calculated F=8.14 < 19.0, we do not reject the null hypothesis
Hence, we conclude that the block means do not differ.
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A car with an initial speed of 36 km/h accelerates at a uniform rate of 2.4 m/s^2 for 2.5 seconds. What are the final speed and displacement of the car during this time?
If a car with an initial speed of 36 km/h accelerates at a uniform rate of 2.4 m/s^2 for 2.5 seconds. The final speed is 16m/s and displacement of the car during this time is 32.5m.
Speed and displacement23.7 km/h = 10 m/s
Using this formula to find the speed vf = vi + a(Dt) for the final speed
Where:
Initial speed = 10 m/s
Acceleration = 2.4 m/s2
Time = 2.5 s
Let plug in the formula
vf = (10 m/s) + (2.4 m/s2)(2.5 s)
vf = 16m/s fast car
Now, let's find or determine the displacement
Using this formula Dx = vi(Dt) + 1/2a(Dt)2
Let plug in the formula
Dx = (10 m/s)(2.5 s) + 1/2(2.4 m/s2)(2.5 s)²
Dx = 32.5 m
Therefore we can conclude that the speed is 16m/s and the displacement is 32.5 m.
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