Answer:
The answer is 72.9 !!!!
Step-by-step explanation:
Trust I'm taking the same test.
Ryan runs a total of 94.5 miles over the course of 18 days.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values are given using this formula.
We have,
We can approach this problem by using arithmetic progression.
The first term is 1.5 miles, and the common difference is 0.3 miles.
So,
The nth term is given by:
an = a1 + (n-1)d
where a1 is the first term, d is the common difference, and n is the number of days.
We want to find the total distance Ryan runs over 18 days, which is the sum of the first 18 terms of the arithmetic progression:
S18 = (n/2) (a1 + an)
where n is the number of terms and a1 and an are the first and last terms, respectively.
Substituting the values we have:
a1 = 1.5 miles
d = 0.3 miles
n = 18
an = 1.5 + (18-1)0.3 = 6 miles
S18 = (18/2)(1.5 + 6) = 94.5 miles
Therefore,
Ryan runs a total of 94.5 miles over the course of 18 days.
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Pls, help me with this math question
Answer:
Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]
[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)
Answer:
A
Step-by-step explanation:
A because when you find the product you need to add
A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to
make the probability of drawing a white marble ş?
A: 1
B: 2
C: 5
D. 7
E: 12
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
Answer:
Take the square root of each side of the equation to set up the solution for
x
(
3
x
−
5
)
2
⋅
1
2
=
±
√
19
Remove the perfect root factor
3
x
−
5
under the radical to solve for
x
.
3
x
−
5
=
±
√
19
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
The result can be shown in multiple forms.
Exact Form:
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
Decimal Form:
x
=
3.11963298
…
,
0.21370035
…
The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ (3x - 5)² = 19
Now,
We can simplify the expression for the solutions as;
⇒ (3x - 5)² = 19
Take square root both side,
⇒ √(3x - 5)² = √19
⇒ (3x - 5) = √19
Add 5 both side,
⇒ 3x - 5 + 5 = √19 + 5
⇒ 3x = √19 + 5
⇒ 3x = ± 4.36 + 5
⇒ 3x = 4.56 + 5
⇒ 3x = 9.36
Divide by 3;
⇒ x = 9.36 / 3
⇒ x = 3.12
And, 3x = - 4.56 + 5
3x = 0.64
x = 0.64/3
x = 0.21
Thus, The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
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The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth
Answer:
213,987.7 ft2
Step-by-step ex planation:
Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds
Answer:
jdkkdksmsmsmsksksksksksmaMmamMamnz
Step-by-step explanation:
nnznznznznxnxnxnsnskakakakakakzznnznanananaan
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
D because mean is the subtraction of the biggest number and the smallest. so 17-8=9
Answer:
I think it's D
I don't know tho
Can someone plz help me plz I beg u plz
Answer:
A.... X=3
Step-by-step explanation:
Solve for b.
- 28 – 6b= 8
Answer:
-6
Step-by-step explanation:
- 28 – 6b= 8
step 1 add 28 to each side
-28 + 28 cancels out
28 + 8 = 36
we now have -6b = 36
step 2 divide each side by -6
-6b / -6 = b
36 / -6 = -6
we're left with b = -6
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]b=-6[/tex]
»»————- ★ ————-««
Here’s why:
We will have to preform inverse operations to solve for 'b'.
[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Ravi and Hasan bought 13⁄4 of pies , Ravi ate 1/3 and Hasan ate 2/3 of it
. How much pie is left?
Answer:
The final answer is 0
Step-by-step explanation:
1/3 + 2/3 = 1 which means Ravi and Hasan ate the whole thing
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help
Step-by-step explanation:
let's make T= the number if trees...
If we're placing one tree every 12 feet for two miles, then:
T×(space between trees) = (number of miles)×(1mi.)
T×12ft. = 2×1mi. = 2×5280ft.
Dividing by 12ft. to isolate T gives us:
T=(2×5280)/12 = 880
So that'll be 880 trees for 2 miles of street.
The number of trees that they plant on 2 miles of streets will be 880 trees.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The city is planting new trees in its downtown to make the streets more comfortable for visitors.
They are planting each tree 12 feet apart.
Then the number of trees that they plant on 2 miles of streets will be
We know the conversion of miles into feet.
1 mile = 5280 feet
2 miles = 10560 feet
Then the number of trees will be
Number of trees = 10560 / 12
Number of trees = 880
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Explain which properties you would use to fully expand (the problem in the screenshot)
Answer:
Firs property used : Quotient Property
[tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]
Second property used : Product Property
[tex]log_b(XY) = log_bX + log_b Y[/tex]
[tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]
Third property used : Power Property
[tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]
[tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]
Fully expanded form:
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]
Jonas received a gift card of $35.00 to use for an online App Market to buy applications for his tablet. All Apps cost $1.75. Which table represents the relationship between x, the number of Apps Jonas can buy, and y, the balance remaining on his gift card.
Answer:
A)
Step-by-step explanation:
The starting balance is $35
after one game purchase, the balance is 35-1.75=33.25
after two game purchases, the balance is 35-(1.75*2)=31.50
Help please I might fail…
Answer:
9 /4 which equals 2 and 1/4
Step-by-step explanation:
plugged into the calculator!
Each envelope in the class contains the same number of triangles and quadrilaterals. Write an expression that
represents the total number of sides in the room.
Answer: 3t+4q.
Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.
PLEASE HELP!! NO LINKS!!
Answer:
105°
cause You can measure an arc in degrees just like you measure an angle
Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.
A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry
Answer:
A
Step-by-step explanation:
can i have help please i don't know the answer
Answer: 1.75=5n
Step-by-step explanation:
1.75 is being divided by n 5 times
A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares. What is the area of the shaded rectangle?
Answer:
Area of Rectangle = 28 cm²
Step-by-step explanation:
Given - A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares.
To find - What is the area of the shaded rectangle?
Solution -
The graph of the rectangle is as follows :
From the diagram, e can see that
Length of Rectangle = 7 units (cm)
Breadth of Rectangle = 4 units (cm)
We know that,
Area of Rectangle = Length × Breadth
= 7 × 4
= 28 cm²
⇒Area of Rectangle = 28 cm²
Please I need help ASAP! I don't know any of the answers. For the second question, I accidentally clicked on it.
A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
(answer with 3 decimal places)
Answer:
It is -0.465 when you add it to the nearest thousandth
Step-by-step explanation:
Which is the factored form of x(w – 1) + (W – 1)?
22 pts
Answer:
Solution given:
x(w – 1) + (W – 1)
distribute it:
xw-x+w-1
xw+w-x-1
take common from each term
w(x+1)-1(x+1)
take common again
(x+1)(w-1)
the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...
Answer:
5100
Step-by-step explanation:
the geometric sequence is
f(n) = 20(2)^(n-1)
add up the first 8 to get
which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)
Answer:
C
Step-by-step explanation:
the answer is c because there is more then one y value for 5
All dimensions of a cylinder are multiplied by 1.5. Which statement is true?
A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.
B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.
C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.
D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.
Answer:
The true statement is;
B. The total surface area is multiplied by 2.25
The volume is multiplied by 3.375
Step-by-step explanation:
By scale drawing proportionality, we have;
The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5
∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5
By rule, we have;
The area factor of the surface area = S.F.² = 1.5² = 2.25
Therefore;
The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder
By rule, we have;
The volume factor = S.F.³ = 1.5³ = 3.375
Therefore;
The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.
Answer:
B
Step-by-step explanation:
An arborist examined trees in an orchard to see if they were infected with a virus. The arborist counted 7 infected trees and 43 healthy trees. What percentage of the trees in the orchard were infected?
Answer: Percentage of infected trees =2%
Step-by-step explanation:
Number of Infected trees =7
Number of healthy trees=43
Total number of trees in the orchard=43+7=50
Percentage of infected trees =Number of Infected trees/Total number of tress in the orchard x 100
7/50 x 100 =2%
What is cos 30°? 60° 1 90° 30° V3 O A. v3 O B. 1 O c.
Answer:
E
Step-by-step explanation:
Cos=Adjacent/hypotenuse
Cos30=rad3/2
The cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2.
What are trigonometric functions?There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentAlso the following trigonometry relations hold true -
sin²Ф + cos²Ф = 1
1 + tan²Ф = sec²Ф
1 + cot²Ф = cosec²Ф
Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.
We can write the cosine function as -
cosФ = Base/Hypotenuse
cos(30) = √3/2
So, we can conclude that the cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2
Therefore, the cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2.
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7 1/2 divided by 3/4 =
Help please ;-;
Answer:
10
Step-by-step explanation:
convert mixed number into improper fraction
15/2÷3/4
to divide by a fraction multiply by the reciprocal of that fraction
15/2×4/3
reduce the numbers with the greatest common factor 3
5/2×4
reduce the numbers with the greatest common factor 2
multiply the numbers
5×2=10
10 is your answer
How many reflectional symmetries does this figure have?
Enter your answer in the box.
_ reflectional symmetries
How many rational symmetries does this figure have?
Enter your answer in the box.
_ rotational symmetries
Answer:
1 & 1
Step-by-step explanation:
PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?