The average speed of the police is 23.96 miles per hour
How to calculate the average speed ?
The distance is 46 miles
The time is is 1 hour 55 minutes, convert the minutes
= 55/60
= 0.92 + 1
= 1.92
The average speed can be calculated as follows
= distance/time
= 46/1.92
= 23.96
Hence the average speed of the police car is 23.96 miles per hour
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Find the face of a rhombus with a circumference of 52 cm and a height of 1.2dm
The face of the rhombus ( length of one side) is found to be 13 cm.
How do you define a rhombus?A rhombus is a special parallelogram because it meets the definition of a parallelogram, which is a quadrilateral to two pairs of parallel sides.
Furthermore, a rhombus, such as a square, has every four sides that are equal. As a result, it is also identified as a slanted square.A rhombus has two diagonals that serve as its lines of symmetry.An axis of symmetry is a line that separates an object in to the two equal halves.Any two adjacent and otherwise consecutive angles add up to 180°.As per the given question;
The circumference of the rhombus is 52 cm.
Let us consider the one side of the rhombus is of length 'x'.
As, we known that the sides of the rhombus are equal.
Thus,
4x = 52
x = 52/4
x = 13.
Therefore, the face or the length of the one side of the rhombus is found as 13 cm.
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Can someone help me really quick
Answer:
(3 3/4) : (3/4) = 5/1 = 5
Step-by-step explanation:
solve the equation 5(2x+1)=25
Answer: x = 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Given equation,
→ 5(2x + 1) = 25
Solving for the value of x,
→ 5(2x + 1) = 25
→ 10x + 5 = 25
→ 10x = 25 - 5
→ x = 20/10
→ [ x = 2 ]
Hence, the value of x is 2.
Between which two consecutive whole numbers does \sqrt{83}
83
lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{83}
83
to an approximately correct location on the number line.
Real
√83
__
_
Since \large\sqrt{\phantom{\frac{2}{2}}\hspace{15px}}
2
2
=\,=
and \large\sqrt{\phantom{\frac{2}{2}}\hspace{15px}}
2
2
=\,=
it is known that \sqrt{83}
83
is between
and
.
Answer:
47 23
Step-by-step explanation:
calculator
on the internet in brainly lol
Which situation is represented by the inequality?
7x + 50 > 4x + 100
Responses
A Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more money than Mary?Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more money than Mary?
B Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly has more money than Mary?Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly has more money than Mary?
C Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly and Mary have the same amount of money?Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly and Mary have the same amount of money?
D Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly and Mary have the same amount of money?Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly and Mary have the same amount of money?
The situation which is represented by the inequality (7x + 50 > 4x + 100) is: A. Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more money than Mary?
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In this scenario, the number of week for saving money by each person is represented by the variable x. Therefore, the situation which is represented by the inequality (7x + 50 > 4x + 100) is that "Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more money than Mary?"
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Zalaria
5. For each pair of shapes, decide whether or not Shape A is congruent to Shape B.
Explain your reasoning.
a. First pair:
Answer: Shape A is congruent to Shape B because If you were to rotate one of the two and flip it, it would match.
Step-by-step explanation:
hope it helps :)
find the next four terms of the geometric sequence given the a1=2x r=x³
Answer: [tex]2\text{x}^4, \ 2\text{x}^7, \ 2\text{x}^{10}, \ 2\text{x}^{13}[/tex]
===========================================================
Explanation:
The first term is [tex]a_1 = 2\text{x}[/tex] and the common ratio is [tex]r = \text{x}^3[/tex]
To get the second term, we multiply the first term by that common ratio
[tex]a_2 = a_1*r = 2\text{x}*\text{x}^3 = 2\text{x}^4[/tex]
Repeat a similar idea for the third term
[tex]a_3 = a_2*r = 2\text{x}^4*\text{x}^3 = 2\text{x}^{4+3} = 2\text{x}^7[/tex]
and the fourth term is
[tex]a_4 = a_3*r = 2\text{x}^7*\text{x}^3 = 2\text{x}^{7+3} = 2\text{x}^{10}[/tex]
The fifth term is
[tex]a_5 = a_4*r = 2\text{x}^{10}*\text{x}^3 = 2\text{x}^{10+3} = 2\text{x}^{13}[/tex]
Something to notice: The exponents of the first five terms are: 1, 4, 7, 10, 13. The sequence of exponents is arithmetic even though the original underlying sequence is geometric.
The reason why the exponent sequence is arithmetic is because we keep multiplying by [tex]\text{x}^3[/tex], and hence we keep adding 3 to each exponent to get the next exponent.
-----------------------------------------
To summarize, the first five terms are:
[tex]2\text{x}, \ 2\text{x}^4, \ 2\text{x}^7, \ 2\text{x}^{10}, \ 2\text{x}^{13}[/tex]
We will ignore the first term 2x since your teacher wanted you to find the next four terms after that first term (i.e. term2 through term5).
Find Victoria's debt to income ratio of her monthly expenses are 1280 and her monthly salary is 2 thousandand 500 express your answer in a decimal
Victoria's debt to income ratio is 0.51 when her monthly expenses are compared to her monthly salary
What is debt to income ratio?
The debt to income ratio compares the monthly expenses(monthly obligations) of Victoria to her monthly salary to determine the portion of her salary that would be used in paying her bills
debt to income ratio=monthly expenses/monthly salary
monthly expense=1280
monthly salary=2,500
debt to income ratio=1280/2,500
debt to income ratio=0.51
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How many different real solutions are there for the equation 4 x²=-4 x-4 ?
There are 0 or no real solutions for the equation 4x²=-4x-4.
What, exactly, is an equation?A mathematical statement composed of two representations joined by an equal sign is known as an equation.3x - 5 = 16 is an example of an equation.We obtain the value for the variable x as x = 7 after solving this equation.So,
Given the equation: 4x²=-4x-4
Then,
4x²=-4x-44x²+4x+44x²+x( + )=44x²+x(2+2)+44x²+2x+2x+42x(2x+1)+2(x+2)No factor for this equation.
Therefore, there are 0 or no real solutions for the equation 4x²=-4x-4.
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Which of the following shows the prime factorization of 200 using exponential notation?
02².52
0 23.5²
O8-25
O2-10²
The prime factorization of 200 using exponential notation is [tex]2^3 *5^2[/tex] that is correct option is (b)
First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.
1) [tex]200\div2=100[/tex] (Even number)
2) [tex]100\div2=50[/tex](Even number)
3) [tex]50\div2=25[/tex](Even number)
4) [tex]25\div5=5[/tex](Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
5) [tex]5\div5=1[/tex](Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
Now, we construct the prime factorization using exponential notation:
[tex]200=2^3\cdot5^2[/tex]
The prime factorization of 200 using exponential notation is [tex]2^3\cdot5^2[/tex] that is option (b)
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The prime factorization of 200 using exponential notation is 2^3*5^2 that is correct option is (b)
First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.
1) 200/2=100 (Even number)
2) 100/2=50 (Even number)
3)50/2=25 (Even number)
4) 25/5=5 (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
5) 5/5=1 (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
Now, we construct the prime factorization using exponential notation:
200=2^3*5^2
The prime factorization of 200 using exponential notation is 2^3*5^2 that is option (b)
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What is 20x73 divided by 18?
Answer:
81.1111111111111
Step-by-step explanation:
Becuse
Answer:
80 (Estimate, we'll get to the exact result at the end.)
Step-by-step explanation:
[tex]\mathrm{(Round)~If~x < 5,~x=y.0}[/tex]
→ y is the number, for instance, 60.0 since 63.0 in the ones/tenths place is less than 5 or 0.5
[tex]20 \times 70 = 1,400[/tex]
→ imagine the newly rounded 73 as 2 × 7 which is 140, but it's 2 more 0's, so it's 1,400.
[tex]\bold{77}\\18|1,400\\18 \times 7 = 126\\140 - 126 = 14\\18 \times 7 = 126\\140 - 126 = 14[/tex]
→ long division was performed. for each time a 0 appeared in 14 when 140 was subtracted by 126(18 • 7), a zero was either borrowed from 1,400 or dropped from 1,400 which became our remainder of 14 both ways around.
→ 77 is close to 75 but not below 5, so it round to 80. therefore, your estimate result is 80.
(The exact result is 81.1)
I hope this helped, let me know if you have concerns.
What is 0.2÷5.3?
Please help me
Answer:
0.03773584905
or 0.04
Step-by-step explanation: if this was not what you were looking for,
you are painting a 10ft by 12ft room with a height of 16ft. how much surface area would you need a paint obly the walls and ceiling? if one paint can covers 200ft2, how many paint cans wouldyou need
The surface area needed to be paint is 3,008 sq. ft. The cans requires for the paint are 15.
What is defined as the cuboid?A cuboid is a 3 solid with six (rectangular) faces, eight vertices, and twelve edges.
A cuboid is defined by three dimensions: length, width, and height. A perfect cuboid is categorized as a cuboid with integer edges.A cuboid's total surface area (TSA) is the total of the areas of all of its rectangular faces.Total Surface Area (TSA) = 2(lb + bh + hl) sq.units
where, i is the length, b is the breadth and h is the height.
The given values are;
length l = 12 ft
breadth b = 10 ft
height h = 16 ft
Put the values in the formula;
Total Surface Area (TSA) = 2(12×10 + 10×16 + 16×12)
= 2×(120 + 160 +192)
= 2×(472)
Total Surface Area (TSA) = 1504
Now, reduce the area of the floor as it is not to be painted;
Painted area = Total Surface Area (TSA) - area of floor
= 1504 -12×10
Painted area = 3,008 sq. ft
The area covered by 1 paint can is 200 sq. ft.
Can required = total painted area/painted area by one can
Can required = 3,008/200
= 14.44
Can required = 15 (as half can is not considered)
Therefore, the area painted is 3,008 sq. ft with the total number of cans as 15.
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− 3 g + 2 f + g − 4 f
Answer:
-2g-2f
Step-by-step explanation:
Hope it helps you
Answer: -2g-2f
Step-by-step explanation: Combine like terms
-3g+2f+g-4f
-2g-2f
HELP ME PLEASE! Lina invested $7,800 in a mutual fund at a simple interest rate of 4.35%. She earned $1,696.50 in interest. How long (in years) was the money invested?
Round to the nearest tenth of a year if needed.
The number of years for which the money was invested is 5.0 years
Simple InterestFrom the question, we are to determine how long (in years) the money was invested
From the given information,
Lina invested $7,800 at a simple interest rate of 4.35%
and
She earned $1,696.50 in interest
From the formula for simple interest
I = PRT
Where I is the simple interest
P is the principal
R is the rate
and T is the time in years
From the given information,
I = $1,696.50
P = $7,800
R = 4.35% = 0.0435
Thus,
1696.50 = 7800 × 0.0435 × T
1696.50 = 339.3 × T
T = 1696.50/339.3
T = 5.0 years
Hence, the money was invested for 5.0 years
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Center = (6,15)
Radius = 2
The equation of the circle where the given parameters are Center = (6, 15) and Radius = 2 is (x - 6)^2 + (y - 15)^2 = 4
How to determine the equation of the circle?The given parameters are
Center = (6, 15)
Radius = 2
Rewrite the above parameters properly as
Center, (h, k) = (6, 15)
Radius, r = 2
The equation of the circle is represented as
(x - h)^2 + (y - k)^2 = r^2
Substitute the known values in the above equation
So, we have
(x - 6)^2 + (y - 15)^2 = 2^2
Evaluate the exponent of 2
So, we have
(x - 6)^2 + (y - 15)^2 = 4
Hence, the equation of the circle where the given parameters are Center = (6, 15) and Radius = 2 is (x - 6)^2 + (y - 15)^2 = 4
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Complete question
Write an equation of the circle with Center = (6,15) and Radius = 2
10. Murphy and Naryam do their math homework together. When they find 9- (-8), they get different answers. Murphy claims the difference is 17. Naryam claims the difference is -1. a. Who is correct? Murphy b. What error likely led to the incorrect answer?
Answer:
Naryam
Step-by-step explanation:
Murphy is incorrect because when subtracting integers, you have add the addictive inverse of the others. (keep, change, change) which would lead to the equation of 9 + 8. What Murphy did wrong is subtract 9 and -8 without finding -8 addictive inverse.
7: Sort these decimals into ascending order, starting with the smallest one: 0.0995, 0.0929, 0.09, 0.905, 0.999, 0.9209
Sam has three times as many crayons as Thabo. If he gives Thabo 17 crayons he will have twice as many crayons as Thabo. How many crayons did Thabo have to start with?
Answer:
Thabo had 51 crayons at the start.
Step-by-step explanation:
Sam has three times as many crayons as Thabo. Then
x = 3y.
If Sam gives 17 crayons to Thabo, then he will have twice as many crayons as Thabo. Then
(x-17) = 2(y+17).
Thabo had 51 crayons to start with.
Given that Sam has three times more crayons than Thabo does. He will have twice as many crayons as Thabo if he gives him 17 of them.
We need to determine the number of crayons Thabo had in starting.
Let's use algebra to solve this problem step-by-step.
Let's assume that Thabo starts with "x" crayons.
According to the given information:
Sam has three times as many crayons as Thabo, which means Sam has 3x crayons.
If Sam gives Thabo 17 crayons, he will have (3x - 17) crayons left.
Thabo will have (x + 17) crayons after receiving the 17 crayons from Sam.
Now, the second condition states that if Sam gives Thabo 17 crayons, he will have twice as many crayons as Thabo.
Mathematically, it can be expressed as:
2(x + 17) = 3x - 17
Let's solve this equation to find the value of x:
2x + 34 = 3x - 17
Subtract 2x from both sides:
34 = x - 17
Now, add 17 to both sides:
x = 51
So, Thabo had 51 crayons to start with.
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Dave accidentally overdrew his bank account. The bank will charge him for every day that his account remains overdrawn. This situation is represented by the expression: -10x - 75
What does the constant represent in this case?
the number of days he is overdrawn
the amount he is charged for being overdrawn each day
how much money he initially overdrew from his account
Answer:
the amount he is charged for being overdrawn each day
Step-by-step explanation:
find the value of asquare + b square
a-b=7 , ab=8
Answer:
Step-by-step explanation:
As we know that a-b=7 and ab=8(a times b is equal to 8) If we find the factors of 8 we know that 8 times 1 make 8 and if u try 8-1= 7 so 1 squared is 1 and 8 squared is 16 so 16+1=17
Answer:
A = 8
B = 1
A squared + B squared = 65
Step-by-step explanation:
8 - 1 = 7
A - B = 7
8 x 1 = 8
A x B = 8
8 x 8 = 64
1 x 1 = 1
64 + 1 = 65
A squared + B squared = 65
A contractor purchases 6 dozen pairs of padded work gloves for $89.28 . He incorrectly calculates the unit price at $14.88 per pair for the expense report. What is the correct unit price? Why is the contractor's unit price incorrect?
The correct unit price is $1.24 per pair of padded gloves such that the contractor's unit price is incorrect because total cost was divided by number of dozens bought instead of the number of units in 6 dozens
How many units are in a dozen?
The dozen of pairs of padded gloves contains 6 pairs of padded gloves, in other words, the number of units in 6 dozens is 6 dozens multiplied by 12 units in a dozen
number of units in 6 dozens=6*12
number of units in 6 dozens=72
unit price=total cost/number of units in 6 dozens
unit price=$89.28/72
unit price=$1.24
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Solve each equation. 3ˣ=243
Answer:
[tex] {3}^{x} = 243 = {3}^{x} = {3}^{5} = 5[/tex]
Please can u tell me what the answer to this is please
Answer:
Below in bold.
Step-by-step explanation:
(√5)² * (√3)²
= 5 * 3
= 15
(∛9))³ (√30)²
= 9 * 30
= 270
SOMEONE HELP MEEEEEE
Which value is NOT defined?
(A) tan 0
(B) tan π
(C) tan 3π/2
(D) 1 / tanπ/4
Answer:
(C) tan 3pi/2
Step-by-step explanation:
See image. You can use the Unit Circle to help you find these answers. The Unit Circle looks like scary math chaos pizza, but it really is just a great big giant answer key. It has all the trig answers on it.
(If you use your calculator instead be sure to change it to radian mode.)
See image.
Tangent for any angle is the y/x.
Only tan 3pi/2 is undefined.
At 3pi/2 the x and y are (0,1) so tangent is 1/0 which is undefined.
01.07 Operations with Scientific Notation
CCSS.Math.Content.8.EE.A.4
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
A number that can be expressed in scientific notation will be (2 × 10³) × 4 × 10².
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It may also be referred to as standard form, scientific form, or standard index form.
Always set the base to 10. The exponent must be an integer that is non-zero, therefore it can either be positive or negative. The coefficient's absolute value is more than or equal to 1, but it must be less than 10.
It should be noted that the number that can be expressed in scientific notation will be (2 × 10³) × 4 × 10². This will be:
= (2 × 10³) × (4 × 10²)
= 8 × 10^5.
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Determine whether the vectors in each pair are normal to each other. (8,-4) and (-2,4)
Since their dot product is not equal to zero, then (8,-4) and (-2,4) are not normal to each other.
Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.
These two vectors are also called orthogonal to each other.
Let u = (u₁, u₂) and v = (v₁, v₂), then the dot product u . v is defined as:
u . v = u₁v₁ + u₂v₂
To check whether the vectors are normal to each other, let us check their dot product.
The given vectors are: (8,-4) and (-2,4)
Let u = (8,-4) and v = (-2,4), then,
u . v = 8 . (-2) + (-4) . 4
= -16 + (-16) = -32 (not equal to zero)
Since u.v ≠ 0, then (8,-4) and (-2,4) are not normal to each other.
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what is 9871 rounded to the nearest ten?
Answer:9870
Step-by-step explanation:
Answer:
Step-by-step explanation:
So we have our 9871
For rounding when a number is four and below if I am remembering correctly you drop the number down. If 5 and up you bump it up to the next number in front of it.
9871
7 = tens
7 > 5
9881
Evaluate each expression for the given value of x
2³x+4 for x=-1
The value of algebraic expression 2³x + 4 for x = - 1 will be equal to - 4.
In order to solve this expression:Firstly, we need to write the cube of 2 ( 2³).Then, we have to multiply it with x.2³ x + 4 = ( 2 )³ x + 4 = 8x + 4
Now, we will substitute the given value of x, i.e., -18x + 4 = 8(-1) + 4
= -8 + 4
= -4
Therefore, the value of algebraic expression 2³x + 4 for x = - 1 will be equal to - 4.
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