Answer:
A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.
A triangle has vertices v (3, 6), n (8,1), and h (1, -1. click on each blank to select a word or phrase to complete the sentence. triangle vnh is because the lengths of are
The triangle VNH is an isosceles triangle because the lengths of sides VH and NH are congruent
How to determine the type of triangle?The coordinates are given as:
V = (3,6)
N = (8,1)
H = (1,-1)
Calculate the distance between each point using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]VN = \sqrt{(8 -3)^2 + (1 -6)^2}[/tex]
[tex]VN = \sqrt{50}[/tex]
[tex]VH = \sqrt{(1 -3)^2 + (-1 -6)^2}[/tex]
[tex]VH = \sqrt{53}[/tex]
[tex]NH = \sqrt{(8 -1)^2 + (1 +1)^2}[/tex]
[tex]NH = \sqrt{53}[/tex]
Notice that two sides of the triangle are equal.
Hence, the triangle VNH is an isosceles triangle
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How much greater is TR(300) than TR(299)
Answer:
300
Step-by-step explanation:
TR(n)= n*(n+1)
2
TR(300)=300*(300+1)
2
TR(299)=299*(299+1)
2
45150-44850=300
One way to solve is to find TR(300) and TR(299) and then find the difference in between them.
Sara and her dad visit yo yo yogurt again this time the scale says that Sara has 14 ounces of vanilla yogurt in her cup
Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]
What will the Yogurt weigh?Mass is one of the principal quantities, which is related to the matter in the object
The main mass unit consists of 7 units of other than other units of mass such as quintals, tons, pounds, ounces:
Kilogram, kg
Hectogram, hg
Decagram, dag
gram, g
Decigram, dg
centigram, cg
milligrams, mg
Each unit descends then multiplied by 10, and if one unit increases then divided by 10
Fraction numbers are known as numerator and denominator
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is
[tex]\dfrac{a}{b}[/tex]
Mixed fractions consist of integers and ordinary fractions
A mixed number is a combination of a whole number and a fraction
Sara has 14 ounces of vanilla yogurt
Her father's yogurt weighs half of much, so her fathers have yogurt :
= 0.5 x 14 ounces
= 7 ounces
Total ounces of yogurt they buy
= 14 + 7 = 21 ounces
for 1 ounces (oz) the conversion = 0.0625 pounds(lbs)
So for 21 ounces there will be
= 21 x 0.0625
= 1.3125 pounds
if we express as a mixed number , it will be :
[tex]=\dfrac{13125}{10000}[/tex]
[tex]=1\dfrac{5}{16}[/tex]
Hence Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]
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(9x^2+5x^2+11x)+(-2x^3+9x-8x^2)
Answer:
First step is to remove those unnecessary brackets :[tex] \longrightarrow\tt \: 9 {x}^{3} + 5 {x}^{2} + 11x - 2 {x}^{3} + 9x - 8 {x}^{2} [/tex]
Combine the like terms :[tex] \longrightarrow \tt \: 9 {x}^{3} - 2 {x}^{3} + 5 {x}^{2} - 8 {x}^{2} + 11x + 9x[/tex]
[tex] \longrightarrow \boxed{\tt \: 7 {x}^{3} - 3 {x}^{2} + 20x}[/tex]
Our final answer is 7x^3 - 3x^2 + 20x .--------- HappY LearninG <3 --------
HURRY ITS URGENT!!!!
9. If the equation (x+a)?=b has non-real solutions where a and b are real
numbers, which of these must be true?
A b-a is not a perfect square
B.
bis not a perfect square
C. b-aco
D. b <0
Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|
Answer:
D is not true.
Step-by-step explanation:
[tex] |4.5| = 4.5[/tex]
[tex] | - 45| = 45[/tex]
[tex]4.5 \leqslant 45[/tex]
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.
How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Answer:
nCr = 14!/3!11! =364
Step-by-step explanation
There are two numbers, and one is 7 more than twice the other. The sum of the numbers is 3. What are the numbers? And what is the equation?
Answer:
2x + 7 = 3
2x = 3 - 7
2x = -4
2x/2 = -4/2
x= -2
Therefore the numbers are -2 and 7.
If f(x) = 6x-6, find x when f(x) = 36.
Answer:
x=7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
given f(x) = 6x - 6 and f(x) = 36 , then equating gives
6x - 6 = 36 ( add 6 to both sides )
6x = 42 ( divide both sides by 6 )
x = 7
Find the surface area of a right cone with a radius of 3 meters and a slant height of 5 meters.
The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².
What is surface area?
To calculate the surface area of the cone, we use the formula below.
Formula:
A = πrl.............. Equation 1Where:
A = Surface area of the coneπ = Piel = Slight HeightFrom the question,
Given:
l = 5 metersr = 3 metersπ = 3.14Substitute these values into equation 1
A = 3.14×5×3A = 47.1 m²Hence, The surface area of the right cone is 47.1 m².
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Subtract 59.05 from 70.00
Answer:
-10.95 hope it helps so yeah and if it's wrong sorry
Answer:
10.95
Step-by-step explanation:
When solving a problem like this you can just take the decimals then add then back at the end for example. ...
7,000
-
5,905
_______
1,095
Then, add the decimal back in its original spot to give you 10.95
Hope this helps!
What is the area of the trapezoid shown below?
Answer:
78 sq. units
Step-by-step explanation:
1/2 × (7+19) × 6 = 78
In a pet store there are a total of 25 animals 15 of the animals are dogs term is the ratio of animals that are not dogs to the total animals in the store explain the reasoning
for your answer
Answer:
25.15
Step-by-step explanation:
the 25 comes before the 18 in the sentence. super easy
how do I answer this question
Answer:
x = 4
Step-by-step explanation:
-x + 6 = 0.5x
1.5x = 6
x = 4
can someone help me?
2x-3y= -1
y=x-1
what is the surface area of the green shapes there all the same
Answer:
I believe the answer is 10
Step-by-step explanation:
4x5 is 20 divided by 2 is 10. I hope you find this as helpful and correct, I am sorry if I am wrong.
What is the length of the unknown leg of
the right triangle rounded to the nearest
tenth of a meter?
11 m
?
42.8 m
Answer:
The length of the unknown leg is 5.66 yards
Step-by-step explanation:
[tex]Hypotenuse^2=opposite^2-adjacent^2[/tex]
[tex]Hyp^2=opp^2+adj^2[/tex]
[tex]Hyp=\sqrt{42.8}[/tex] [tex]yards[/tex]
[tex]Opp=\sqrt{11}[/tex] [tex]yards[/tex]
[tex]Adj=?[/tex]
[tex]Adj^2=Hyp^2-opp^2[/tex]
[tex]=(\sqrt{42.8} )^2-(\sqrt{11} )^2[/tex]
[tex]=42.8-11[/tex]
[tex]=31.8[/tex] → [tex]32[/tex]
[tex]Adj^2=32[/tex]
[tex]Adj=\sqrt{32}[/tex]
= 5.66 yards
write y=x^2-6x+17 in vertex form. step by step
Step-by-step explanation:
the general vertex form is
y = a(x - h)² + k
with (h, k) being the vertex.
after doing all the multiplications we get
y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k
our original equation is
y = x² - 6x + 17
and now we simply compare the cording parts :
ax² = x²
a = 1
-2ahx = -2hx = -6x
-2h = -6
h = -6/-2 = 3
ah² + k = 17
3² + k = 17
9 + k = 17
k = 8
so the vertex form is
y = (x - 3)² + 8
Please help ASAP! Solve for 4
FIND RQ! Show work :)
Verify (x-2) is a factor
of Q(x)=x²-3x²-4x+12
Answer:
(x - 2) is not a factor of Q(x)
Step-by-step explanation:
if (x - h) is a factor pf f(x) then f(h) = 0
if (x - 2) is a factor of Q(x) then Q(2) = 0
Q(2) = 2² - 3(2)² - 4(2) + 12
= 4 - 3(4) - 8 + 12
= 4 - 12 + 4
= - 8 + 4
= - 4
since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)
However , if the polynomial was meant to be
Q(x) = x³ - 3x² - 4x + 12 , then
Q(2) = 2³ - 3(2)² - 4(2) + 12
= 8 - 12 - 8 + 12
= 0
then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12
Find x if f(x)=2x-7 and f(x) = 18.
Answer:
x = 12.5
Step-by-step explanation:
f(18)=2x-7
18+7=2x
25=2x
x=12.5
Give brainiest please!
Hope this helps :)
(05.01 LC)
NEED HELP ASAP ILL MARK BRAINLIEST IF CORRECT
What is the slope of the line segment?
1/4
-1/4
4
−4
Answer:
We can tell by looking at the graph that it is a positive slope, so we can eliminate answers b and d.
It is rise over run. from a point, it goes up 4, and over 1.
4/1
which would be 4. The answer is C! Hope this helps!
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's consider two points on the line and calculate its Slope ~
(4 , 1)(8 , 2)Slope (m) of a line is :
[tex]\qquad \sf \dashrightarrow \: m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{2 - 1}{8 - 4} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{1}{4} [/tex]
Why is Dexter’s claim incorrect? 8-4 Additional practice
By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.
What is pragmatics?This can be used to explain the part of linguistics that has to do with the use of language in its given context.
The use of pragmatics comes up in conversations, and implications of what is being said.
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need this answered ASAP
type the correct answer in the box.
Mitten crabs are an invasive species in North America. A coastal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year. The population will reach an estimated 1,620 crabs in ___ years.
Answer:
10 1/8 years?
I hope this is right!
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
The following data points represent the total weight loss
(in kilograms) for each member of omar's final fitness
team. 61,90, 31, 35, 69, 37, 78
The histogram shows that the majority of Omar's Final Fitness Team had weight loss between 30 to 49 kg, with only a few members achieving higher weight loss of 60 to 69 kg.
To create a histogram from the given data, follow these steps:
Step 1: Determine the range of the data (largest value - smallest value): Range = 90 - 31 = 59
Step 2: Choose a number of classes for the histogram. A convenient number of classes is usually between 5 and 15. For this data set, we can choose 6 classes.
Step 3: Determine the width of each class by dividing the range by the number of classes:
Class width = Range / Number of classes
Class width = 59 / 6 = 9.83
Round the class width up to 10 to make it a convenient number.
Therefore, the class width is 10.
Step 4: Determine the lower limit of the first class. Choose a value that is equal to or less than the smallest data point.
Lower limit of first class = 30
Step 5: Create the frequency distribution table by counting how many data points are in each class:
| Class Interval | Frequency |
|:----:|:----:|
| 30 - 39 | 2 |
| 40 - 49 | 2 |
| 50 - 59 | 0 |
| 60 - 69 | 2 |
| 70 - 79 | 1 |
| 80 - 89 | 1 |
Step 6: Draw the histogram. On a horizontal axis, mark the class intervals. On the vertical axis, mark the frequency for each class. Draw vertical bars to represent the frequency in each class. Make the bars touch each other so that it shows a continuous distribution.
Here's the histogram of the given data:
```
Frequency
|
| x
| x
--------|----|----|----|----|---|---
30 40 50 60 70 80 90
| Class intervals |
```
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13. 12, 16, *, 20 Find the missing
If x = -3 and y = -5, what does 3x - 2y equal???
Step-by-step explanation:
3x-2y
3*(-3)-2*(-5)
-9+10
1
3(-3) - 2(-5)
-9 + 10
1
PLEASE HELP ANSWERING THE QUESTIONS ILL GIVE BRAINLIEST OR WHATEVER
Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15
Step-by-step explanation:
explanation to 9:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 500(1 + (0.07 × 15)) = 1025
A = $1,025.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439
P = $243.90
The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 500(1 + (0.07 × 15)) = 1025
A = $1,025.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.
h(t) = t² – 2t
Evaluate h (x + 2)
Need help I’m reviewing for a final (will leave good review)
Answer:
h(x + 2) = x² + 2x
Step-by-step explanation:
The base function is :
⇒ h(t) = t² -- 2t
⇒ h(t) = t (t - 2)
Substitute x + 2 in place of t :
⇒ h(x + 2) = (x + 2) (x + 2 - 2)
⇒ h(x + 2) = (x + 2)(x)
⇒ h(x + 2) = x² + 2x
[tex]h(t) = t^2 -2t\\\\h(x+2) = (x+2)^2 - 2(x+2)\\\\~~~~~~~~~~~~=x^2 +4x + 4 -2x -4\\\\~~~~~~~~~~~~=x^2 +2x[/tex]