Answer:
Step-by-step explanation:
g(x) = 5x + 4
f(5x + 4) = (5x + 4)^2 - (5x + 4) + 7
25x^2 + 40x + 16 - 5x - 4 + 7
25x^2 + 35x + 19
Find the area of the triangle with vertices: Q(4,4,-1), R(5,7,-2), S(3,2,-4).
Answer:
The area of the triangle is 5.875 square units.
Step-by-step explanation:
First, we need to calculate the lengths of the triangle by means of Pythagorean Theorem:
[tex]a = \|\overrightarrow {QR}\| = \sqrt{(5-4)^{2}+(7-4)^{2}+(-2+1)^{2}}[/tex]
[tex]a \approx 3.317[/tex]
[tex]b = \|\overrightarrow {RS}\| = \sqrt{(3-5)^{2}+(2-7)^{2}+(-4+2)^{2}}[/tex]
[tex]b \approx 5.745[/tex]
[tex]c = \|\overrightarrow {QS}\| = \sqrt{(3-4)^{2}+(2-4)^{2}+(-4+1)^{2}}[/tex]
[tex]c \approx 3.742[/tex]
Now, we can use the following formula to fid the area of the triangle ([tex]A[/tex]), measured in square units:
[tex]A = \sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}[/tex]
Where:
[tex]s[/tex] - Semiperimeter of the triangle, dimensionless.
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Sides of the triangle, dimensionless.
The semiperimeter can be determined by this:
[tex]s = \frac{a+b+c}{2}[/tex]
If we know that [tex]a \approx 3.317[/tex], [tex]b \approx 5.745[/tex] and [tex]c \approx 3.742[/tex], the area of the triangle is:
[tex]s = \frac{3.317+5.745+3.742}{2}[/tex]
[tex]s = 6.402[/tex]
[tex]A = \sqrt{(6.402)\cdot (6.402-3.317)\cdot (6.402-5.745)\cdot (6.402-3.742)}[/tex]
[tex]A \approx 5.875[/tex]
The area of the triangle is 5.875 square units.
5. Solve: 16 * 22 / 2
Answer:
176
Step-by-step explanation:
Usually you'll follow PEMDAS & the left->right rule, however, as you are only multiplying and dividing, it does not matter.
22/2 = 11
11 * 16 = 176
176 is your answer.
~
Answer:
176
Step-by-step explanation:
PEMDAS : first Multiply 16 & 22 which equals 352. Then Divide 352 by 2 which equals 176.
1.CONVERT TO SCIENTIFIC NOTATION2.CONVERT TO STANDARD NOTATION
a. 895,000,000,000a. 3.65 x 108
Answer:
Step-by-step explanation:
a. 8.95 x 10^11
b. 3.65 x 10^8= 365,000,000
Answer:
a. 8.95 x 10^11
b. 3.65 x 10^8= 365,000,000
Step-by-step explanation:
Why is it important to have all parts of a graph clearly labeled and drawn
Answer:
A graph has to be clearly labelled and drawn for clarity and to aid the correct interpretation of the data shown on the graph.
a parent volunteer group is raising money by making custom hats to sell at school activities.they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.
use n to represent the number of hats they sell. multiply this money by the money for each hat, then subtract that form the advertising cost.
which expression represents the money that the group raised
Answer:
Money raised($)= 6n-50
Step-by-step explanation:
they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.
If their are no number of hats
Cost = 50+4n
Money gotten from the n number of hats= 10(n)
If they are to make profit, the money gotten from the sales of hats should be bigger than the total cost
Money raised = money from sales- cost
Money raised= 10n -4n-50
Money raised($)= 6n-50
The answer is (10-4)n-50
You subtract the amount of money used to make the hat from the price they are selling the hats. You then multiply that by the number of hats they sold. Then you subtract that from the amount of money spent on advertisement. Therefore the answer is (10 - 4) n - 50
Clare has 8 fewer books than Mai. if mai has 26 books how many books does has Clara have?
Answer:
18
Step-by-step explanation:
The number of books with Clara is given by the equation C = 18 books
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of books with Clara be represented as C
Let the number of books with Mai be represented as M
And , Clara has 8 fewer books than Mai
So , the equation is
C = M - 8 be equation (1)
The number of books with Mai , M = 26 books
Now , when M = 26 books
On simplifying , we get
C = 26 - 8
C = 18 books
Therefore , the value of C is 18 books
Hence , the number of books with Clara is 18 books
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There are a total of 24
girls who are going to
camp. If 4 girls are
assigned to each cabin,
how many cabins will be
needed?
Answer: the answer is six cabins
Step-by-step explanation: if you divide 24 by 4 you end up with 6
Answer:
6 cabins will be required
Step-by-step explanation:
No. of girls=24
No. of girls in each cabin=4
No. of cabins=24/4=6
In the 2009-2010 school year in country A, there were 115,000 foreign students from country B. This number is 22% more than the number of students from country C. How many foreign students were from country C?
Answer:
522727.27
Step-by-step explanation:
115000/0.22
What is 3.4 x 10-6 in standard notation?
O A. 0.0000034
OB.
1
3.40
C. 3,400,000
D. 0.000034
Answer: Choice A) 0.0000034
[tex]3.4 \times 10^{-6} = 0.0000034[/tex]
There are five zeros between the decimal point and the '3'
To get this answer, you start with 3.4 and then move the decimal point 6 places to the left due to the exponent of -6. If the exponent was positive, then we'd move 6 places to the right.
Se quiere diseñar la bandera de un colegio el cual debe tener 1 animal, 1 color de fondo y una palabra representativa. La cantidad de colores que se pueden escoger son 8, la cantidad de animales son 13 y la cantidad de palabras son 9, ¿cuántas banderas es posible diseñar?
Answer:
Es posible diseñar 936 banderas.
Step-by-step explanation:
Para poder determinar la cantidad de banderas que es posible diseñar utilizando 1 animal, 1 color de fondo y 1 palabra representativa de un total de 8 colores, 13 animales y 9 palabras, se debe multiplicar la cantidad total de variables, y su resultado será la cantidad de banderas que se podrán diseñar.
Así, deben multiplicarse 8 x 13 x 9, es decir, el total de colores, animales y palabras. Esta multiplicación da como resultado 936, con lo cual es posible diseñar 936 banderas diferentes.
Find its inverse, and state the domain and range.
Rewrite 4/10 : 1/25 as unit rate
Answer: 10
Explanation:
remember that when you have a divided fraction, you can change de numerator and denominator so your fractions be like this:
4/10 * 25/1 = 100/10
10*1
100/10= 10
this happens because when you have a fraction that is being divided, it's also like you are cross multiplying, just like the resolution upwards, then you get 100 divided by 10, which is 10.
I hope it helps you. :)
Solve for x
y=7(x+a)
The bad debt ratio for a financial institution is defined to the dollar value of loans defaulted divided by the total dollar value of all loans made. Suppose that a random sample of 7 Ohio banks is selected and that the bad debt ratios (written as percentages) for these banks are 6%, 8%, 5%, 9%, 7%, 5% and 8%. Banking officials claim that the mean debt ratio for all Midwestern banks is 3.5 percent and the mean bad debt ratio for Ohio banks is higher. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that the mean bad debt ratio for Ohio banks exceed 3.5 percent. (a) H0: μ ≤ [ Select ] % versus Ha: μ > [ Select ] %. (b) Discuss the meanings of a Type I error and a Type II error in this situation. Type I : Conclude that Ohio's mean debt ratio is [ Select ] 3.5 % when it actually is 3.5%. Type II : Conclude that Ohio's mean debt ratio is [ Select ] 3.5 % when it actually is 3.5%.
Answer:
Step-by-step explanation:
From the information given:
Consider X to be the random variable denoting the bad debt ratios for Ohio Bank.
Then, [tex]X \sim N ( \mu, \sigma ^2)[/tex]
Thus the null hypothesis and the alternative can be computed as:
Null hypothesis:
[tex]H_o : \mu \leq3.5\%[/tex]
Alternative hypothesis
[tex]H_1 : \mu > 3.5\%[/tex]
The type I and type II error is as follows:
Type I:
The mean bad debt ratio is > 3.5% when it is not
Type II:
The mean bad debt ratio is ≤ 3.5% when it is not.
The test statistics can be calculated by using the formula:
[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
where;
sample size n = 7
mean = 6+8+5+9+7+5+8 = 48
sample mean [tex]\overline x =\dfrac{48}{7}[/tex]
[tex]\overline x[/tex] = 6.86
sample standard deviation is :
[tex]s = \sqrt{\dfrac{\sum( x -\overline x)^2}{n-1}}[/tex]
[tex]s = \sqrt{\dfrac{( 6 -6.86)^2+( 8-6.86)^2+ ( 5 -6.86)^2 + ...+( 7 -6.86)^2+ ( 5 -6.86)^2+( 8 -6.86)^2 }{7-1}}[/tex]
s = 1.573
population mean [tex]\mu = 3.5[/tex]
Therefore, the test statistics is :
[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{6.86- 3.5}{\dfrac{1.573}{\sqrt{7}}}[/tex]
[tex]t = \dfrac{3.36}{\dfrac{1.573}{2.65}}[/tex]
[tex]t = \dfrac{3.36\times {2.65}}{{1.573}}[/tex]
t = 5.660
At significance level of 0.01
[tex]t_{0.01} = 3.707[/tex]
P - value = P(T > 5.66)
P - value = 1 - (T < 5.66)
P - value = 1 - 0.9993
P-value = 0.0007
Therefore, since [tex]t_{0.01} < t[/tex] , we reject the null hypothesis and conclude that the claim that the mean bad debt ratio for Ohio banks is higher than the mean for all financial institutions is true.
15. _TYU and ZUYB form a linear pair. The mZTYU = 5x - 4 and mZUYB =
3x + 10. Find the degree measure of each angle. HINT: draw a picture.
Upload your work in canvas assignment.
Answer:
∠TYU = 104.75°∠UYB = 75.25°Step-by-step explanation:
A picture on scratch paper works as well as any.
__
The sum of the two angles is 180°:
(5x -4) +(3x +10) = 180
8x = 174 . . . . . . collect terms, subtract 6
x = 21.75 . . . . . .divide by 8
Then the angle measures are ...
∠TYU = 5(21.75) -4 = 104.75°
∠UYB = 3(21.75) +10 = 75.25°
_____
Check
The total is 104.75 +75.25 = 180, as required.
Answer:
104.75 +75.25 = 180
Step-by-step explanation:
The formula V = IR shows the relationship between voltage, current, and resistance. Solve this formula for R.
Answer:
R=V/I
Step-by-step explanation:
Divide V by I to isolate R on one side.
Answer:
R=V/I
Step-by-step explanation:
Because resistance formula is v/i
Other than itself, what is an angle that is congruent to ∠CFD?
Answer:
CFB or DFE
Step-by-step explanation:
Congruent angles have the same value in degrees.
Knowing that line DB is straight and CE is perpendicular to DB (at 90 degrees to DB), we know CFD is 90 for the sum of CFD and CFB to equal 180 degrees (since they are on a straight line which is 180 degrees). We also know DFE is 90 for the same reason.
Our question is asking what is congruent or the same angle as CFD. In this case, there are 2 congruent angles: CFB and DFE.
CFB is 90 these angles are on the same line DB and are supplementary (add up to 180 degrees)
DFE is also a correct option since this and CFD are on the line CE and are also supplementary
last year ,rita opened an investment account with $400 At the end of the year the amount in the account had decreased by 28.5% how much is this decrease in dollars? how much money way in her account at the end of last year
Answer:
Step-by-step explanation:
decrease=400×0.285=114.000 $
amount at the end=400-114=286 $
Help me with a ASAP plz and explain
(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1
(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13
(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42
(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11
What is the approximate value for 83 divided 5 ?
83 divided by 5 is 16.6 if you need to round that, the answer would be 17
The quotient of the equation when A = 83/5 = 16.6
Given data ,
Let the quotient of the expression be represented as A
Now , the value of A is
Let the first number be represented as p
Now , the value of p = 83
Let the second number be represented as q
Now , the value of q = 5
where A = p/q
On simplifying the equation , we get
A = 83 / 5
A = 16.6
Therefore , the quotient of the expression is A = 16.6
Hence , the expression is A = 16.6
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help with a and describe
Answer:
1
Step-by-step explanation:
Simply plug in 0 for x:
g(0) = 5x + 1
g(0) = 5(0) + 1
g(0) = 1
31.14
A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing
process. The table below displays the possible problems and frequency for each.
Frequency
4
2
Soap Problems
Underweight
Impurities
Broken bar
None
Total
3
91
100
If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?
O They would expect 100 bars to be broken.
They would expect 150 bars to be broken.
They would expect 300 bars to be broken.
They would’ve many bars would they expect to be broken
expect 450 bars to be broken.
Save and Exit
Next
Submar
Mark this and
Answer:
B. 150 bars to be broken
Answer:
They would expect 150 bars to be broken.
Step-by-step explanation:
Correct on Edge2020
Which sources are reliable? Check all that apply. a National Oceanic and Atmospheric Administration article discussing Pacific bluetin tuna population numbers a high school student's blog discussing sources of biofuel an advertisement for a protein drink in Exercise magazine a study describing clinical trials of a new medication in the Journal or Medemal Chemistry an entry about the mating habits of snow leopards that can be edited by the general public
answer:a National Oceanic and Atmospheric Administration article discussing Pacific bluefin tuna population numbers
a study describing clinical trials of a new medication in the Journal of Medicinal Chemistry
Step-by-step explanation:
i did it
The solution is: A.an article discussing mineral resources written by the United States Geological Survey, sources are reliable.
The correct answer will be options-A and C.
What is research?Research is a process of systematic inquiry that entails collection of data; documentation of critical information; and analysis and interpretation of that data/information, in accordance with suitable methodologies set by specific professional fields and academic disciplines.
Explanation:
The research on any question starts with a "review of literature study" which helps gain the knowledge related to the aspect of the hypothesis one is studying.
The sources reviewed by the researcher must follow certain criteria to be cited like:
1. The research should be done by any governmental organisation, research institutes and affiliated universities.
2. The research paper should posses results checked and verified by the peer fellows like by the peer-review of journals.
3. The research should not be edited any general magazines, advertisements and any other unauthorized organizations.
Thus, option-A and C are the correct answer.
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complete question;
Which sources are reliable? Check all that apply.
A.an article discussing mineral resources written by the United States Geological Survey
B.a blog discussing sources of alternate energy written by a high school student
an advertisement for guided hikes and tours in Camping magazine
C.a study describing clinical trials of a new medication in the Journal of Medicinal Chemistry
D.an entry about common uses of metals in an encyclopedia that can be edited by the general public
Your school’s football team scored 49 points. Your team’s score was 19 points more than the opponent’s score s. Write and solve an equation to find the opponent’s score.
Answer:
30
Step-by-step explanation:
Well its pretty simple just take 19-49 unless its for something else all i knew was that its 19-49= 30
what is the differnence between (-2)^2 and -2^2 in math
Answer:
(-2)^2 = 4-2^2 = -4Step-by-step explanation:
The first is (-2)(-2) = 4.
The second is -(2)(2) = -4.
The order of operations says exponents are evaluated first. An exponent signifies repeated multiplication of the base.
_____
If your calculator is working correctly, it will show you the difference.
__
Beware spreadsheet programs. They don't always follow the order of operations when evaluating formulas. Parentheses are often required to keep them honest.
Answer: The one with perinthesis is bigger because you would do the negative first and you would have nothing to take away from
Step-by-step explanation:
what is y=80.9x-1011.86 in standard form?
Answer:
50593
Step-by-step explanation:
How many quarts of pure antifreeze must be added to 2 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution
Answer:
x: 1/4=0.25 quarts of 100% antifreeze
Hope this helps
The flagpole is 20 ft high and casts an 8 foot shadow, the oak tree casts a 12 foot shadow. How tall is the oak tree?
Answer:
30 FEET TALL
Step-by-step explanation:
Answer: 30 ft
Step-by-step explanation:
Set up a proportional equation to solve for how tall the oak tree will be.
[tex]\frac{20}{8} = \frac{x}{12}[/tex] cross product
8x = 240
x= 30
939miles * 15gallons / 40miles = x
Answer: 281.7
Step-by-step explanation:
Stanley says, "If a point is not on a line, then the line and the point exist on exactly one plane." If the point IS on the line, how would his statement need to be changed? Thank you!
Answer:
If the point IS on the line, then the point and the line exist on an infinite number of planes.
Step-by-step explanation:
If the point IS on the line, then the point and the line exist on an infinite number of planes.