Answer:
trapezoid
Step-by-step explanation:
1)a=w*L
7*9=63
2)1/2b*h
10*6.8=68
3)1/2h*(b1+B2)
1/2 6*28=84
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
PLEASE HELPPPP
The rest are:
5^1 x 71/3 x x^1 x x2/3 x y^3 and
(875x^5y^9)^1/3
The simplified exponential expression for this problem are given as follows:
\(5xy\sqrt[3]{7x^2y}\)
How to simplify the exponential expression?Considering the root, the expression can be written with a fractional exponent, as follows:
(875x^5y^4)^(1/3).
First we start simplifying the symbolic variables x and y, applying the power of power rule, as follows:
x^(5/3) = x^(3/3)x^(2/3) = \(x\sqrt[3]{x^2}\)y^(4/3) = y^(3/3)y^(y/3) = \(y\sqrt[3]{y}\)The number 875 can be simplified as follows:
\(\sqrt[3]{875} = \sqrt[3]{7 \times 125} = 5\sqrt[3]{7}\)
Multiplying the simplification of each term, the simplified expression is given as follows:
\(5xy\sqrt[3]{7x^2y}\)
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Which expression is equivalent to 6 (3.1 + 4)?
Answer: 42.6
Step-by-step explanation:
First you would distribute the outer number to all the inner numbers:
6*3.1 + 6*4 = 18.6 + 24
Next you would add the numbers you just got:
18.6 + 24 = 42.6
Help !! Pls :3:’dnmdnsnms
The congruent reason for the triangles is (b) HL theorem
How to determine the congruent statement?From the question, we have the following parameters that can be used in our computation:
Triangles = FGH and JHK
The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent
From the question, we can see that the following corresponding sides on the triangles:
Sides GH and HK
Sides FH and JK
These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following sides must also be congruent
GH must be congruent to HK
The above statement is true because point H is the midpoint of line GK
This is indicated in reason (2)
Hence, the congruent statement is SSS.
However, we can also make use of the HL theorem in (B)
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. Ann ate 2 slices of a pizza and Teresa ate 3 slices of the pizza. The pizza had 8 slices. What is the difference in the amount of pizza that they ate written as a fraction?
Since the mode is the most frequently occurring data value, it
Select one:
a. is always larger than the mean
b. can never be larger than the mean
c. must have a value of at least two
d. is always larger than the median
e. None of these answers is correct.
Any answer without justification will be rejected automatically.
The correct answer is option (e): None of these answers is correct.
The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.
The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.
The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure used in longitudinal follow-up of high-risk infants. The scores on the MDI have approximately a normal distribution with a mean of 100 and standard deviation of 8. What proportion of children have MDI of at least 80? Choose one answer. A- .3446 B- .6554 C- .0062 D- .9938
The proportion of children with an MDI of at least 80 is approximately 0.0062.
Hence, option (c) is the correct answer.
The proportion of children who have an MDI of at least 80 can be found by using a standard normal table.
Now we will find the z-score for 80, and then find the corresponding cumulative probability.
With mean = 100 and
standard deviation = 8,
we have z = (80 - 100) / 8
=> z = -2.5.
Using a standard normal table,
we find that the cumulative probability for z = -2.5 is approximately 0.0062.
The standard normal distribution table is a collection of regions from the standard normal distribution, sometimes referred to as a bell curve, and it shows the size of the region under the bell curve and to the left of a particular z-score to illustrate probabilities of occurrence in a specific population.
The required standard normal table is attached below:
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x = -9 and y = 2 plz help me plz
Answer: 9 and -2
Step-by-step explanation: because of the way it's writen.
A box has a length of 5 cm, a width of 10 cm, and a helght of 2 cm. The volume of the box is 3 17 cm 3 100 cm 100 cm 17 cm
Answer:
17 cm
Step-by-step explanation:
A box has a length of 5 cm, a width of 10 cm, and a height of 2 cm. the volume of the box is: 17 cm
HELP I WILL GIVE BRAINLIEST IF RIGHT
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I might be wrong but i'm pretty sure it's right
Find all values of m for which the equation has two real solutions.
3x² + 7x- (m + 1) = 0
Question 5
Hint: see problem #2 on 3-7
Daya paid her credit card bill in full in September. Her October bill showed a finance charge, and she
wants to see whether it is correct or not. The average daily balance is $970.50, and the APR is
15.6%.
Since she paid her bill in full in September, what is the finance charge for her October statement?
How much finance charge did she save by paying-her bill in full?
$
SA
2 pts
According to the given APR, the finance charge did she save by paying her bill in full is $12.6165
APR
APR represents the yearly interest generated by a sum that's charged to borrowers or paid to investors. And it is expressed as a percentage that represents the actual yearly cost of funds over the term of a loan or income earned on an investment.
Given,
Daya paid her credit card bill in full in September. Her October bill showed a finance charge, and she wants to see whether it is correct or not. The average daily balance is $970.50, and the APR is 15.6%.
Here we need to find the finance charge did she save by paying-her bill in full.
Here the finance charge is calculated by using the formula,
=> Finance charge = Average daily balance × monthly periodic rate.
In order to find these we need the value of,
=> Monthly periodic rate = APR / 12 months
And the monthly periodic rate is calculated as,
=> Monthly periodic rate = 15.6% / 12
=> 0.156 / 12
=> 0.013
Therefore, the finance charge is calculated as,
=> Finance charge = $970.50 × 0.013
=> $12.6165
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The average cost per hour in dollars of producing x riding lawn mowers is given by the following.
C(x) = 0.2x² +21x-273 +(2800/x)
(a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost.
(b) What is the minimum average cost?
Given:
\(C(x)=0.2x^2+21x-273+\frac{2800}{x}\)Find-:
(a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize the average cost.
(b) minimum average cost?
Sol:
Graph of function is:
For what value of Θ is cotΘ undefined?
0°
180°
270°
The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.
Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.
The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.
Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.
For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.
That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.
Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.
To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.
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The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
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Which choice shows (5 + 9) + 10 correctly rewritten using the associative property
and then correctly simplified?
O 10 + (5 + 9) = 10 + 14 = 24
O 5+ (9 + 10) = 5 + 19 = 24
O 10 + (9+5) = 10 + 14 = 24
O 5+ (91+0) = 5 +91 = 96
Question ID: 116111
Submit
Copyright 2023 The MOC
The correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
What is the associative property?The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.
Given that, an expression, (5 + 9) + 10
According to associative property of addition, (a+b)+c = a+(b+c)
Therefore,
(5 + 9) + 10 = 5+(9+10)
= 5+19
= 24
Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
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1. A taxi cab costs $4.50 for the first mile and $0.75 for each additional mile. Write & solve an equation that could be solved to find how many miles you can travel in a taxi for $30, given that m is the number of additional miles?
Equation: 0.75 divided by 30
Solution:_______________________
PLEASE ANSWER THE WHOLE QUESTION!
Answer:
55x-5=78
Step-by-step explanation:
Study these equations:
f(x) = 2x - 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
O h(x) = 6x2 – 10x - 4
O h(x) = 6x2 – 12x - 4
O h(x) = 6x2 + 2x - 4
O h(x) = 6x2 + 14x + 4
Answer:
A. h(x) = 6x2 – 10x – 4
Step-by-step explanation:
Got 100% on edge.
The value of h(x) is h(x) = 6x^2 -10x + 4
How to determine the composite function?The functions are given as:
f(x) = 2x - 4
g(x) = 3x + 1
So, we have:
h(x) = f(x)g(x)
This gives
h(x) = (2x - 4) * (3x+ 1)
Evaluate
h(x) = 6x^2 + 2x - 12x - 4
This gives
h(x) = 6x^2 -10x + 4
Hence, the value of h(x) is h(x) = 6x^2 -10x + 4
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Chocolate bar is 53% cocoa. Weight
The number of grams of cocoa is 50.9 grams
What is weight?This is the mass of an object
How to find the number of grams of cocoa contained in the chocolate bar?Since we have that a chocolate bar contains 53% cocoa and the weight of the chocolate bar is 96 grams.
Let
x = number of grams of cocoa, W = weight of chocolate bar and p = percentage of cocoa in chocolate barSo, we have that
x = pW
Given that
p = 53 % = 0.53 and w = 96 gramsSubstituting the values of the variables into the equation, we have that
x = pW
x = 0.53 × 96 grams
x = 50.88
x ≅ 50.9 grams
So, the number of grams of cocoa is 50.9 grams
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8 1/5-2 7/8 fractions
i removed my answer because it was wrong look at the other peoples answers
Answer: 213/40 or 5.325
Step-by-step explanation:
We can find common denominators for 8 1/5 and 2 7/8.
The Lowest Common Denominator for 8 1/5 and 2 7/8 is 40.
8 1/5 = 41/5 = 328/40.
2 7/8 = 23/8 = 115/40.
Now we can subtract.
328/40 - 115/40 = 213/40.
Therefore, the answer is 213/40 or 5 13/40.
Sam traveled 20 miles in 3 hours.
Sam walked part of the distance at a speed of 4 miles per hour.
Sam rode his bicycle for the remaining distance at a speed of 12 miles per hour.
note: this question has been asked before but i do not believe it was answered correctly, it was solved using 4 hours instead of 3
Answer:
see below
Step-by-step explanation:
distance / rate = time
x = walking distance 20 -x = biking distance
x / 4 m/hr + (20-x) / 12 m/hr = 3 hours
x/4 + ( 20-x) /12 = 3 multiply both sides of the equation by 12
3x + 20 -x = 36
2x = 16
x = 8 8 miles walking then 12 miles biking
Six weeks ago, Quinn could type 20 words per minute. He has been practicing and now his speed is 175% of his original speed. How fast can he type now? Numerical answer only.
Answer:
35
Step-by-step explanation:
Take twenty and multiply it by 1.75 to increase the answer by 175%
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 600.
The mean for the number of people with the genetic mutation in such groups of 600 is 18.
Given that,
About 3% of the population has a particular genetic mutation.
This means that for any group of people, 3% of the people has a particular genetic mutation.
This is a binomial distribution.
Probability that people having genetic mutation = 3% = 0.03
Random sample size = 600
Mean for a binomial distribution can be calculated as,
Mean = n × p
= 600 × 0.03
= 18
Hence the mean number of people having genetic mutation is 18.
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Hello! I need some assistance with this homework question, pleaseQ14
Recall that the graph of a function h(x), translated n units to the right is represented by the function
\(h(x-n)\text{.}\)Therefore, y=f(x-2) represents the graph of f(x) translated 2 units to the right.
Answer:
Then the graph of y=f(x-2) may be obtained by a horizontal shift of the graph of f to the right a distance of 2 units.
) Emily baked a cake in 42.5 minutes. She finished making dinner 9 1/10 minutes sooner than the cake. How long did it take her to make dinner? Hint: Change the 9 1/10 to a decimal
It took Emily 33.4 minutes to make dinner.
Define a mixed number?A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.
To solve the problem, we have to convert the mixed number \(9 \frac{1}{10}\) to a decimal number:
⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)
⇒ \(\frac{91}{10}\) = 9.1
This means that Emily finished making dinner 9.1 minutes sooner than the cake.
To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:
⇒ 42.5 - 9.1 = 33.4 minutes
Therefore, it took Emily 33.4 minutes to make dinner.
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Write an inequality for the situation .
Julia scored at least 20 points.
Julia scored at least 20 points. Inequality for the situation is: x ≥ 20, where x represent score of Julia.
Let the score of Julia be "x". The inequality for this given situation would be:
x ≥ 20
According to this inequality, Julia's score, denoted by the letter "x," is greater than or equal to 20. Greater than or equal to is indicated by the sign "≥". The minimum score Julia must achieve is shown by the number 20 on the right side of the inequality. The "≥" sign makes sure Julia's score can be 20 or any number higher than 20, but it can never be less than 20.
The fact that Julia received at least 20 points is therefore indicates by the inequality : x ≥ 20
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Check picture pls this is geometry work
Answer:
45
scalene
acute
Step-by-step explanation:
Answer: The triangle classified by the sides is 59 degrees. The triangle is classified by the angel is 1
Step-by-step explanation:
The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
• 18 students voted for chocolate.
• 12 students voted for strawberry.
20 students voted for vanilla.
What percentage of the students chose chocolate as their favorite ice-cream flavor?
Answer:36%
Step-by-step have 12+18+20 which equals 50 and 18 out of 50 is 36%
The percentage of the students who chose chocolate as their favorite ice cream flavor will be 36%
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, there are 18 students voted for chocolate,12 students voted for strawberry and 20 students voted for vanilla.
The total number of students = 18+12+20 = 50
A percentage of the students chose chocolate as their favorite ice cream flavor is,
%choclate = (Number of students voted for chocolate / Total student)×100
%choclate =(18/50)×100
%choclate =36%
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6 ten dollars bills 3 one hundred how much money is that
Answer:
$360.
Step-by-step explanation: 6 ten dollar bills would be 60, and 3 one hundred dollar bills would be 300. Add it together, and you will get 360.
Answer:
Hello!!!
6 ten dollar bills and 3 one hundred dollar bills equals 360 dollars.
Step-by-step explanation:
\(10+10+10+10+10+10=60\\100+100+100=300\\60+300=360\)
Hope this helps!
An 8-year-old boy is half his sister's age. When the boy is 12, how old will his sister be?
Answer:
20 years
Step-by-step explanation:
when the boy is 8 and half his sisters age his sister is 16
four years later the boy will be twelve, so if his sister was 16 four years later she will be 20
Answer:
20 years old
Step-by-step explanation:
Let n represent the age of the boy's sister then...
\(8=\frac{1}{2}n\)
Multiply both sides by 2
\(n=16\)
When the boy is 12, it will be 4 years from when he is 8 therefore...
16 + 4 = 20 years old