Answer:
-191
Step-by-step explanation:
Answer:
[tex] \sf \: c) - 191[/tex]
Step-by-step explanation:
Given problem,
→ (-135) - 72 - (-16)
Let's solve the problem,
→ (-135) - 72 - (-16)
→ (-135) - 72 + 16
→ (-135 - 72) + 16
→ -(135 + 72) + 16
→ -207 + 16
→ -191
Hence, answer is -191.
If the function g is defined as g(x)=3x2−5(x+2), what is the value of g(4)?
The value of the function g(x) at g = 4 is 18.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a function g(x) as follows -
g(x) = 3x² - 5(x + 2)
We have the following function as -
g(x) = 3x² - 5(x + 2)
For g(4), we can write -
g(4) = 3 x (4)² - 5(4 + 2)
g(4) = 3 x 16 - 5 x 6
g(4) = 48 - 30
g(4) = 18
Therefore, the value of the function g(x) at g = 4 is 18.
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You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
3% and 144 times
3% and 4 times
O 0.33% and 1 time
0.33% and 144 times
Answer:
Below
Step-by-step explanation:
4% /12 = .33 % per period
periods per year = 12
money is compounded each month for 12 years = 144 times
Find the area of the pizza if the diameter is 15 in.
Answer:
176.7 square inches
Step-by-step explanation:
You want the area of a 15 inch diameter pizza.
AreaThe formula for the area of a circle in terms of its diameter is ...
A = (π/4)d²
The area of the pizza is ...
A = (π/4)(15 in)² = 225π/4 in² ≈ 176.7 . . . square inches
The area is about 176.7 square inches.
Establish the identity.
(csc 0+1)(csc 0-1) = cot 0
a. Multiply and write the left side expression as the difference of two squares: ?
b. The expression from the previous step is equivalent to cot 0 using what?
OA. Cancellation Property
OB. Quotient Identity
OC. Pythagorean Identity
OD. Reciprocal Identity
OE. Even-Odd Identity
pls help asap i can’t pass this class without passing this test
To answer this question, we need to first multiply the left side of the given equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.
The left side of the given equation can be written as:
(csc0+1)(csc0-1)
We can then apply the difference of squares formula to this expression to get:
(csc0+1)(csc0-1) = (csc0+1)(csc0-1)
Now, we can see that this expression is equivalent to cot 0 using the Pythagorean Identity. This identity states that the sum of the squares of the cosecant and cotangent of an angle is equal to 1. In this case, since (csc0+1)(csc0-1) = cot 0, we can use the Pythagorean Identity to rewrite the left side of the equation as (csc0^2 + cot0^2) = 1, which is equivalent to cot 0.
Therefore, the correct answer is C. Pythagorean Identity
Andrea loaned $5 to each of 20 people. She recorded each loan by writing -$5 in her bank book. What is the total amount of money Andrea has written in her bank book after the loans?
Answer: -$100
Step-by-step explanation:
We know that Andrea loaned $5 to each of the 20 people.
So 5 times 20 = -$100
gallup political polls ask people their political party affiliation- democrat, republican, or independent. which level of measurement is used to measure party ? nominal ordinal interval ratio
In Gallup political polls, respondents are asked which political party they identify with: independent, democratic, or republican. Nominal level of measurement is used to measure party
Nominal level of measurement is used when assigning a name, label, or category to a particular attribute of an individual, group, or phenomenon. In the case of party affiliation, the Gallup Political Polls ask people to identify themselves as Democrat, Republican, or Independent. These labels are mutually exclusive, and do not imply any particular order. Therefore, the level of measurement used to measure party is nominal.
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Kayla pays 18% of her earnings in taxes. This week she earns a total of $1,200. Kayla wants
to know how much of her earnings are left over after taxes are paid.
How much does Kayla pay in taxes?
Answer:
She has $984.00 left after taxes.
She pays $216.00 in taxes
Step-by-step explanation:
1200 x .18 = 216
She pays $216.00 in taxes
1200 - 216 = 984
She has $984.00 left after taxes.
a blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches what is the length of the actual wall in feet
The length of the actual wall in feet is 4.69 feet.
In mathematics, what are scales?The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. A scale is a set of levels or numbers that are used in a specific system of measuring or comparing things.
In this case, the blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches, the length of the actual wall in feet will be:
= 3 × 25
= 75 inches
Since 1 feet = 16 inches
75 inches will be:
= 75/16
= 4.69 feet.
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in class a there are 20 students 14 of them are girls in class b there 25 students 15 of them are girls (a) which class has more girls?
(b) which class has greater percentage of girls?
Answer:
(A) Here, as we can see class A has more girls than class B.
(B) Class A has a greater percentage of girls.
Step-by-step explanation:
Given;In class A there are 20 students 14 of them are girls.In class B there are 25 students 15 of them are girlsSo,
For class A
14/20 × 100 = 70%For class B
15/25 × 100 = 60%(A) Here, as we can see class A has more girls than class B.
(B) Class A has a greater percentage of girls.
find the value of x and y.
(3x+19)°
(4x+14)°
And y ♂️
Answer:
X=34 Y=146
Step-by-step explanation:
3x+19is equal to 4x+14 through this we can look for the value of x which is 34
angles in a straight line add up to 180 and all ready have 34 so we will take 180-34 = 146
Solve the following inequality using the algebraic approach:
x + 2 greater-than 3 x minus 8
a.
x greater-than negative 5
b.
x less-than negative 5
c.
x less-than 5
d.
x greater-than 5
To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.
Here, we can solve the inequality x + 2 > 3x - 8 as follows :
We get 2 on both sides of an inequality by the process of subtraction
or, x + 2 - 2 > 3x - 8 -2
or, x > 3x -10
We get 10 on both sides of an inequality by the process of addition
or, x +10 > 3x -10 + 10
or, x + 10 > 3x
We get x on both sides of an inequality by the process of subtraction
or, x + 10 -x > 3x -x
or, 10 > 2x
We get 2 into both sides of an inequality by the process of division
or, 5 > x
Therefore, x < 5.
To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.
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What is the quotient of three and one-third ÷ three-fourths?
List the statements and reasons thanks!
The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate
How to carry out congruency proof?From the given items, we see that the congruency proofs are;
Statement 1; ΔEBC ≅ ΔFDC
Reason 1; Given
Statement 2; ∠EAC ≅ ∠ECA
Reason 2; Given
Statement 3; ∠FAC ≅ ∠FCA
Reason 3; Given
Statement 4; AE ≅ A F
Reason 4; SSS congruency postulate
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Jen Butler ha been pricing Speed-Pa train fare for a group trip to New York. Three adult and four children mut pay $129 Two adult and three children mut pay $92 Find the price of the adult' ticket and the price of a child' ticket
The price of the adult ticket is calculated to be $19 and the price of a child ticket is calculated to be $18.
The price of the adult ticket and the price of a child ticket can be calculated by using algebraic expressions as follows;
Considering adult ticket price = y and child ticket price = x;
The algebraic equations for tickets can be given as follows;
3y + 4x = $129
2y + 3x = $92
Now we can calculate y as follows;
3y + 4x = 129
3y = 129 - 4x
y = 129 - 4x / 3
Adding this value of y in the second equation as follows;
2y + 3x = 92
2(129 - 4x / 3) + 3x = 92
258 - 8x / 3 + 3x = 92
258 - 8x / 3 = 92 - 3x
258 - 8x = 3(92 - 3x)
258 - 8x = 276 - 9x
9x - 8x = 276 - 258
x = $18
Hence the price of a child ticket is $18 and the price of an adult ticket can be determined as follows;
2y + 3x = 92
2y + 3(18) = 92
2y + 54 = 92
2y = 38
y = 38 / 2
y = $19
Therefore the price of an adult ticket is $19.
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At his job, Jake earns $7.50 per hour. He also earns a $55 bonus every month. Jake
needs to earn at least $235 every month.
Part A. Jake determines that the inequality 7.50h + 55 ≥ 235 can be used to calculate
the number of hours he needs to work each month. Explain why the symbol ≥ is used
within the inequality.
Part B. Solve and graph the solution set for the number of hours Jake needs to work
each month.
a) The symbol ≥ is used within the inequality because the lower bound 235 is an acceptable salary.
b) The solution to the inequality is given as follows:
h ≥ 24.
This means that Jake must work at least 24 hours each month, which is represented on the number line shown at the end of the answer.
How to solve the inequality?The inequality in this problem is defined as follows:
7.50h + 55 ≥ 235.
It gives the number of hours that Jake must work to earn at least $253.
The inequality is solved similarly to an equality, isolating the variable of interest. The difference is that the result gives a range of values, instead of a simple value.
The solution is then obtained as follows:
7.50h + 55 ≥ 235
7.5h ≥ 180
h ≥ 180/7.5
h ≥ 24.
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Keilantra and her children went into a movie theater and will buy drinks and pretzels.
She must buy no more than 7 drinks and pretzels altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of pretzels purchased p.
The inequality that would represent the possible values for the number of drinks purchased, d, and the number of pretzels purchased p will be p + d ≤ 7.
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.
From the information, Keilantra and her children went into a movie theater and will buy drinks and pretzels and she must buy no more than 7 drinks and pretzels altogether
In this case, the inequality will be p + d ≤ 7. It implies that they should not be more than 7.
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FILL IN THE BLANK. The size of the observed effect, the number of subjects or observations, and the ___ of data within each group are all involved in the calculation of a p-value
variability.
In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.
There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.
In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.
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for a random sample of 90 such pairs, where is the sampling distribution of x centered, and what is the standard deviation of the x distribution?
The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .
As stated in the assertion
The sample n has been provided, and we need to determine the sample's standard deviation.
For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.
The value of alpha is given as,
alpha = 1.6.
Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and
s = alpha/ 90 s
= 1.6/9.48 s
= 0.168
Therefore, 0.168 is the x distribution's standard deviation.
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Write the equation of direct variation that includes the given point .
(-6,5)
(14,-28)
Answer:
33/20
Step-by-step explanation:
The direct variation is the slope, or how much the y-value of the line changes when the x-value of a line increases by 1.
Plug into the formula:
[tex]\frac{y_2-y_1 }{x_2-x_1}[/tex]
[tex]\frac{-28-5}{14--6}[/tex]
[tex]\frac{33}{20}[/tex]
21. Calculate the future value of a $7,000 after 9
years, when there is an interest rate of 2.05%
with quarterly simple interest payments.
[A] $7,322.88
[D] $8,419.30
[B] $8,414.35
[E] $7,527.31
[C] $6,148.05
To calculate the future value of a $7,000 investment with a 2.05% interest rate and quarterly simple interest payments over 9 years, you can use the following formula:
Future value = Principal * (1 + (Interest rate / Number of compounding periods per year)) ^ (Number of years * Number of compounding periods per year)
Plugging in the values given in the question, we get:
Future value = $7,000 * (1 + (0.0205 / 4)) ^ (9 * 4)
This simplifies to:Future value = $7,000 * (1.005125) ^ 36
Using a calculator or spreadsheet to calculate this value, we get:
Future value = $8,414.35
Therefore, the correct answer is [B] $8,414.35.
Helpppp!!
7.5
15.
30.
None of these choices are correct.
Answer:30
Step-by-step explanation:
In a triangle, the midsegment is half of base (AC)
so, AC would be double of DE, meaning 15×2=30
A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1,6%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
Answer:
$860.10
Step-by-step explanation:
What is the answer to 26.52x14
Answer: 371.28
I hope that this helps! :)
Answer: 371.28
Step-by-step explanation: hope it helps mark brainlist if helpful
Caleb wa out at a retaurant for dinner when the bill came. Hi dinner came to $21. He wanted to leave a 31% tip. How much wa hi meal plu the tip, before tax, in dollar and cent
If Caleb dinner was for $21 then the total bill including tip will be $27.51 .
Caleb went out for the dinner ;
the amount for the dinner = $21 ;
the percent of tip that Caleb want to leave = 31% ;
that means ; tip amount = 31% of dinner amount ;
So , tip amount = 31% of $21 = 0.31 × 21 = $6.51 ;
the tip amount = $6.51 ;
the total bill = bill for dinner + tip amount = $21 + $6.51 ;
= $27.51 .
Therefore , the total bill amount is 27 dollars and 51 cents .
The given question is incomplete , the complete question is
Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollar and cent ?
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b. There are 39 books and 21 binders
Write the ratio of binders to books.
Answer:
The ratio is 7 : 13
Step-by-step explanation:
There are 39 books and 21 binders
Write the ratio of binders to books.
binders: books
21 : 39
Divide each side by 3
21/3 : 39:3
7 : 13
The ratio is 7 : 13
Answer:
Ratio is [tex]\frac{7}{13}[/tex] or 7 : 13
Step-by-step explanation:
the formula would be 21 ÷ 39
next would be to cross out the common factor which is [tex]\frac{7}{13}[/tex]
so the final answer is [tex]\frac{7}{13}[/tex]
Latisha found an apartment that she wants to rent. the rent is $675 per month and there is a security deposit of $325. to move in, latisha must have first month's rent, last month's rent and the security deposit. how much does latisha need to move in?
a. $1,000
b. $1,325
c. $1,675
d. $2,000
please select the best answer from the choices provided a b c d
Latisha needs to pay first month's rent ($675), last month's rent ($675), and the security deposit ($325), which totals $1,325.
Latisha needs to pay a total of $1,325 to move into her new apartment. This includes the first month's rent of $675, the last month's rent of $675, and the security deposit of $325. This total amount must be paid before Latisha can move in and enjoy her new place. In addition to the up-front costs for move-in, Latisha will also need to be prepared to pay her rent each month and maintain her security deposit in case there are any damages to the apartment. Paying the move-in costs is the first step to ensure that Latisha can enjoy her new home.
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Fill in the missing parts. 1/7 of...is 1/35
Answer:
1/5
Step-by-step explanation:
of: *
is: =
1/7 * x = 1/35
Multiply by 7 on both sides.
7(1/7x) = 7(1/35)
x = 1/5
Solve for m.
−2.4(m−2/3)=−9
Enter your answer as a simplified mixed number in the box.
m =
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
The solution of the linear equation −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
−2.4(m − 2/3) = −9
Simplify the equation, then we have
−2.4(m − 2/3) = −9
m - 2/3 = 9/2.4
m - 2/3 = 15/4
m = 15/4 + 2/3
m = 53 / 12
m = 4 ⁵/₁₂
The arrangement of the straight condition −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.
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What is the greatest common factor of 64xyz−36xy 24x ?
The greatest common factor of polynomial 64xyz−36xy + 24x is 4x
The greatest common factor of a polynomial is a monomial that divides all terms of the polynomial.
The given polynomial is:
64xyz−36xy + 24x
Notice that there are 3 terms:
64xyz
−36xy
24x
To find the greatest common factor, notice that each terms contain x.
Next, find the gcf of 64, 36, 24.
Using prime factorization:
64 = 2⁶
36 = 2² × 3²
24 = 2³ × 3
Hence the gcf (64, 36, 24) = 2² = 4
Therefore the gcf of 64xyz−36xy + 24x is 4x
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What is the measure of ∠xbc? m∠xbc = m∠bac m∠bca 3p – 6 = p 4 84 3p – 6 = p 88 2p – 6 = 88 2p = 94 m∠xbc = °
The measure of m∠XBC=(3p-6)°=(3·47-6)°=135°.
What is meant by geometric mean theorem?The relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem, which is a consequence of elementary geometry. It claims that the altitude is equal to the geometric mean of the two segments.The later version provides a method for squaring a rectangle using a ruler and compass, which entails creating a square with the same area as the rectangle in question.Since the inverse of Thales' theorem guarantees that the hypotenuse of the right angled triangle is the diameter of its circumcircle, the theorem may also be seen as a specific example of the intersecting chords theorem for a circle.Given data :
m∠XBC = m∠BAC + m∠BCA,
Now if : m∠XBC=(3p-6)°: m∠BAC=(p+4)°: m∠BCA=84°,
then we get the equation :
3p-6=p+4+84
(option 2), 3p-6=p+88
(option 3), 3p-p-6=p-p+88,2p-6=88
(option 4), 2p-6+6=88+6,2p=94
(option 5), p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
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Answer:
135
answer in picture
Step-by-step explanation: