9514 1404 393
Answer:
T, T, F, F, T
Step-by-step explanation:
First of all, it is helpful to know ...
√8 ≈ 2.8284
√7 ≈ 2.6458
Now you can check the inequalities:
0 < √8 < 3 . . . . . . true√8 > √7 . . . . . . . . true√8 < 2 . . . . . false√8 > 8 . . . . . false1 < √8 . . . . . . . . . . true0, 1, 2, and √7 are left of √8 on a number line, so are all less than √8.
3 and 8 are right of √8 on a number line, so are greater than √8.
Answer:
T, T, F, F, T.
Step-by-step explanation:
Person above is correct!!
If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?
PLZ HELP I NEED IT
Answer:
C
Step-by-step explanation:
for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign
The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function p(x) has point (-3, 1 )
An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x
The point that will be in the inverse function of (x,y) is (y,x)
(-3,1) -----> ( 1,-3)
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Which statement is true about the climbers’ heights?
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
your monthly salary increases from $2,200 to $2,376. what percent is your raise?
Answer:
8%
Step-by-step explanation:
(2376-2200):2200x100%=8%
Vito avido is a sales representative for a company that sells roofing material. he receives a graduated commission of 5 percent on the first $5,000 of sales, 6.5 percent on the next $15,000, and a 7 percent on sales over $20,000. What is his commission on $23,458 in sales?
Hence commission will be 7%
[tex]\\ \rm\longmapsto 23458\times \dfrac{7}{100}[/tex]
[tex]\\ \rm\longmapsto \dfrac{164206}{100}[/tex]
[tex]\\ \rm\longmapsto 1642.06[/tex]
Vito Avido's commission on $23,458 in sales is $1466.06.
Here, we have to calculate Vito Avido's commission on $23,458 in sales, we'll break down the sales amount into different ranges and apply the respective commission rates for each range.
For the first $5,000 of sales: 5% commission
Commission = 5% of $5,000 = 0.05 * $5,000 = $250
For the next $15,000 of sales: 6.5% commission
Commission = 6.5% of $15,000 = 0.065 * $15,000 = $975
For the remaining amount over $20,000: 7% commission
Sales above $20,000 = $23,458 - $20,000 = $3,458
Commission = 7% of $3,458 = 0.07 * $3,458 = $241.06
Now, add up the commissions from each range:
Total Commission = $250 + $975 + $241.06 = $1466.06
Vito Avido's commission on $23,458 in sales is $1466.06.
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help me now where are you all helppppp
Q7
7/25
(Decimal: 0.28)
Step-by-step explanation:
Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:
= 7/25
= 7 ÷ 25
= 0.28
ninety-eight thousand ,five (how to write in numerical)?
Answer:
98005
Step-by-step explanation:
ninety-eight thousand = 98000
five = 5
together = 98005
The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?
The midpoint of a segment can be found using the formula as follows:
mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
How to find the mid point of a segment?The midpoint is the middle point of a line segment.
In other words, the midpoint of a segment is the point on that line segment that divides the segment into two congruent segments.
The mid point of a segment can be represented mathematically as follows:
Hence,
mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
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solve -5x+y=1 and 9x-2y=4 using multiplication and then elimination.
Answer:
x = - 6, y = - 29
Step-by-step explanation:
Elimination:
2*(-5x + y = 1) = -10x + 2y = 2
9x - 2y = 4 = + (9x - 2y = 4) =
-x = 6
x = -6
9(-6)-2y=4
-54-2y=4
-2y=58
y=-29
If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.
Answer:
100.5
Step-by-step explanation:
As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5
I left home at 5:30 am
7.250m and arrived at school at 7:25am how many seconds did I take to reach school
15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.
Answer:
45 and 5 are the dimensions of the block of land.
Step-by-step explanation:
2(x + y) = 100, x + y = 100/2, y = (50 - x)
xy = 225
x (50 — x) = 225
0 = x^2 — 50x + 225
0 = (x — 45) (x -5)
45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.
Which word begins with an open syllable?
silly
sister
sofa
softer
The word sofa begins with an open syllable.
Phonetics is the study of the sound of words/ speeches. This branch of linguistics deals with how words and letters sound and classifies them accordingly.
In phonetics, open and closed syllables refer to the specific nature of how the words end. This means that the words that end with a vowel are known as open syllables while the words that end with a consonant are known as closed syllables. Now, looking at the individual words given in the question, we can ascertain that the initial syllables of the words "silly, sister, softer" all ends in a consonant word. On the other hand, the word "sofa" begins with a vowel "o", thereby making it an open syllable.The easiest way to detect an open and closed syllable is by identifying the position or use of the vowels and consonants in a syllable. This makes the word "sofa" an open syllable.
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1/2. Divided by 2/12 picture
1/2 divided by 2/12 or 1/6 would be 3.The reciprocal of 1/6 is 6 and multiplied with 1/2 = 3.
Answer:
3
Step-by-step explanation:
[tex] \frac{1}{2} \div \frac{2}{12} [/tex]
➡️ [tex] \frac{1}{2} \times \frac{12}{2} [/tex]
➡️ [tex] \frac{1}{2} \times 6[/tex]
➡️ [tex] = 3[/tex] ✅
please, solve for x!
Answer:
15
Step-by-step explanation:
x*x = 9*9 + 12*12
--> x = 15
y + (2/25) = 11/15
What’s y
Answer:
[tex]\frac{49}{75}[/tex]
Step-by-step explanation:
y= [tex]\frac{11}{15}[/tex]-[tex]\frac{2}{25}[/tex]
y= [tex]\frac{49}{75}[/tex]
Answer:
49/75
Step-by-step explanation:
y + 2/25 = 11/15
now, we could do it like the other answer and do fraction arithmetic, or we try and multiply everything out to eliminate the fractions :
15y + 30/25 = 11
375y + 30 = 275
375y = 245
y = 245/375 = 49/75
the same result, of course, but a slightly different way to get there.
suppose the functions u and w are defined as follows u(x)=x+9 w(x)=the square root of x+8 find the following (wou)(8)= (uow)(8)=
Answer:
5 and 13
Step-by-step explanation:
To evaluate (w ￮ u)(8) , evaluate u(8) then substitute the value obtained into w(x) , that is
u(8) = = 8 + 9 = 17 , then
w(17) = [tex]\sqrt{17+8}[/tex] = [tex]\sqrt{25}[/tex] = 5
---------------------------------------
To evaluate (u ￮ w )(8) , evaluate w(8) then substitute the value obtained into u(x) , that is
w(8) = [tex]\sqrt{8+8}[/tex] = [tex]\sqrt{16}[/tex] = 4 , then
u(4) = 4 + 9 = 13
Answer:
Step-by-step explanation:
[tex]u(x)=x+9\\\\w(x)=\sqrt{x+8} \\\\(wou)(x)=u(w(x))=u(\sqrt{x+8} )=\sqrt{x+8}+9\\(wou)(8)= \sqrt{8+8}+9=4+9=13\\\\\\(uow)(x)=w(u(x))=w(x+9)=\sqrt{x+9+8}=\sqrt{x+17}\\(wou)(8)= \sqrt{8+17}=\sqrt{25}=5\\\\[/tex]
You and your family are planning a vacation of a lifetime around the world that will cost $25,000. You borrowed this amount from your bank with an annual interest rate of 10.5%. You decided to pay it back in 5 years. What is the interest that will accrue on this loan?
$3,125.00
$131,250
$13,125.00
$312.50
Answer:
$13,125
Step-by-step explanation:
The value of the interest that will accrue on this loan will be;
⇒ $13,125
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
You and your family are planning a vacation of a lifetime around the world that will cost $25,000.
And, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Now,
Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Hence, The total interest amount after five years is,
⇒ 5 × (10.5% of $25,000)
⇒ 5 × (10.5/100 × 25,000)
⇒ 5 × 2,625
⇒ $13,125
Thus, The total interest amount after five years = $13,125
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Cecelia receives two credit card offers in the mail. Each has a 0% introductory APR. After the introductory period, the first card has an APR of 19.99% and the second card has an APR of 24.99%. If each card has a late fee of $35 and an annual membership fee of $25, which card should she choose and why?
Answer:
1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35
Then we must consider the APR after the initial value 19.999% < 24.99%Hence she should price the first card with a 19.99% APR
Can someone help me please :00
Answer:
according to the dark spots which shows where each number goes to, it would be D.-2
Which set of ordered pairs represents a function?
{(3,6), (3, 1), (9,0), (2, 2)}
{(2,-5), (-3, 6), (-1, -8), (-3,-4)}
{(4, -7), (-2, -1), (-7,4), (9, -1)}
{(3,8), (-2,-9), (1,4), (1,9)}
Answer:
{(4, -7), (-2, -1), (-7,4), (9, -1)}
Step-by-step explanation:
Every other set of ordered pairs has an x-value that has more than one y-value. This is against the rules of a function. Therefore, {(4, -7), (-2, -1), (-7,4), (9, -1)} represents a function.
Zip codes are numerical designations of locations for the purpose of mail delivery. The following histogram summarizes the number, in hundreds, of zip codes assigned to each state in the United States.
According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?
Choose 1 answer:
There are zero number of outliers in data set.
What are [tex]1.5[/tex] IQR rule for outliers ?The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.
And,
[tex]IQR=Q_{3} -Q_{1}[/tex]
We have,
[tex]Q_{1}= 275[/tex]
[tex]Q_{3} = 933[/tex]
Minimum [tex]= 1[/tex]
Maximum [tex]= 2596[/tex]
Median [tex]= 533[/tex]
Now,
[tex]IQR=Q_{3} -Q_{1}[/tex]
IQR [tex]=933-275=658[/tex]
So,
[tex]Q_{1} -1.5\ IQR[/tex]
[tex]=275-1.5*658[/tex]
[tex]=-712[/tex]
So, any data point lower than this is the low outlier.
As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.
Hence, we can say that here are zero number of outliers in data set.
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Answer:
The correct answer is 3.
Step-by-step explanation:
Select the matrix multiplication that transforms vector A to
vector B
Answer:
Option C.
Step-by-step explanation:
Notice that only option B and C involves the vectors in transformation
[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]
However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.
Write 96% as a fraction.
Answer:
Directly, it would be 96/100. However, we can reduce it to become 48/50 = 24/25.
(underlined is simplest answer)
24/25
Step-by-step explanation:
96%
=96/100
=24/25
answer
11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!
To find the solutions of quadratic equation, there are two ways to do which are:
FactorizeQuadratic FormulaStep 1
- Factor the expression.
To factor the expression, refer below:
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]
For bx and ax, both can be common-factored. Therefore
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]
From the above, we conclude that:
The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×bFrom the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.
[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]
Because in the middle term, it is -x which is negative, we have to let the highest number become negative.
From the factored expression:
The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30Then we replace the standard equation with factored form.
[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]
For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!
Hence
[tex] \displaystyle \large{ x = - 5, 6}[/tex]
Therefore, the solutions are x = -5, 6.
Consider the points below. P(â1, 4, 1), Q(0, 6, 2), R(4, 3, â1)
a. Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
b. Find the area of the triangle PQR.
Answer:
B. Find the area of the triangle PQR.
The graph represents a function.
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
O (0,0)
0 (-3,1)
0 (1,3)
O (31)
If we consider the ordered pair (0,0) then only the graph still represents a function.
How to define a graph represent a function?
In a function, there can not be two different values of x corresponding to the same value of y.
Here, the points on the graph are (0,0), (-3,1), (1,3) and (3, 1).
If we consider point (-3,1) then there will be two points corresponding to the same y value i.e. (-3,1) and (3, 1).
The values of x for a single value of y.
i.e. y = 1.
So, if we consider the ordered pair (0,0) then only the graph still represents a function. Therefore, the correct answer is option (a) (0,0).
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The ratio of red beads to blue beads on a necklace is 4:7. What fraction of the beads are blue?
Answer:
fraction of blue beads = 7/(4+7)
= 7/11
Answer:
3:5
Step-by-step explanation:
find a common numeral
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Kane's Furniture Store advertised a table at a 11% discount. The original selling price was $111, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. No, the sale price was s higher than it should have been
(Round to the nearest cent.)
OB. No, the sale price was $ lower than it should have been
(Round to the nearest cent.)
OC. Yes, the sale price was consistent with the ad, because it represents a 11% discount.
va
Vi
(11)
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Answer:
A. No, the sale price was 1.21 higher than it should have been
Step-by-step explanation:
First find the discount
111 * 11%
111 * .11
12.21
Subtract this from 111
111-12.21
98.79
The sale price should have been 98.79
100-98.79
1.21
In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?
Answer:
7/17
Step-by-step explanation:
simplify (2/3 of 21/4)
Answer: 3 1/2
Step-by-step explanation:
"Of" is the same as multiplication so,
2/3 × 21/4=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2 × 2/13 × 4 = 42/12
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using
GCF(4/2 , 1/2) = 6
4/2 ÷ 6 1/2 ÷ 6 = 7/2
The fraction
7/2
is the same as
7÷2
Convert to a mixed number using
long division for 7 ÷ 2 = 3R1, so
7/2 = 3 1/2
Therefore:
2/3 of 21/4 = 3 1/2
Hopefully, I Helped
