Answer:
1.8 km
Step-by-step explanation:
The scale on the map is 1 : 15000.
This means that every 1 cm on the map is equal to 15000 cm on the ground.
12 cm on the map will therefore be:
12 * 15000 = 180000 cm
Let us convert to kilometres:
100000 cm = 1 km
180000 cm = 180000 / 100000 = 1.8 km
12 cm on the map will be 1.8 km on the ground.
Evaluate the expression for
m = -3.
-4 |5+m |
Answer: the correct answer is -8
Step-by-step explanation:
Substitute the given value of m into the expression:
-4|5 + (-3)|.
Then evaluate using the order of operations:
-4|5 + (-3)|
= -4|2|
= -4(2)
= -8
Substitute the given value of m into the expression:
-4|5 + (-3)|.
Then evaluate using the order of operations:
-4|5 + (-3)|
= -4|2|
= -4(2)
= -8
What is the first step in evaluating an expression?The first step in evaluating an expression is to substitute the given value of a variable into the expression. Then you can finish evaluating the expression using arithmetic.
What is an example of evaluating expressions?A variable is a letter, for example, x, y, or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
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Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D
Answer:
Option C is the correct answer
[tex] {x}^{2} + 2x - 4[/tex]
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}[/tex]
Answer:
Step-by-step explanation:
MY LAST 3 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
1. If the conditional statement “If my dog gets out, he will run away,” is true, which other statement must also be true?
A) If my dog did not run away, he did not get out.
B) If my dog did not get out, he did not run away.
C) None must be true.
2. If a conditional statement is written in the form “If p then q”, how is the converse of the conditional statement is written?
A) If not q then p
B) If not p then not q
C) If q then p
3. The statement “If I do not ask permission, I will get in trouble” is the contrapositive of the conditional statement
A) If I do not get in trouble, I asked permission.
B) If I get in trouble, I did not ask permission.
C) If I get in trouble, I asked permission.
D) If I ask permission, I will not get in trouble.
Answer:
The answer to 1 is: A
The answer to 2 is: C
The answer to 3 is: A
Step-by-step explanation:
A conditional statement is one that has the form "If P then Q," where P and Q are sentences. The correct option for the first, second, and third questions are A, C, and A respectively.
What are Conditional statements?A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, while Q is referred to as the conclusion. "If P then Q" implies that Q must be true whenever P is true.
1.) If the conditional statement “If my dog gets out, he will run away,” is true, then the statement "If my dog did not run away, he did not get out." must also be true.
Hence, the correct option is A.
2.) If a conditional statement is written in the form “If p then q”, then the converse of the conditional statement is written as "If q then p".
Hence, the correct option is C.
3.) The statement “If I do not ask permission, I will get in trouble” is the contrapositive of the conditional statement "If I do not get in trouble, I asked permission."
Hence, the correct option is A.
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At a clothing store, 15% of the dresses are blue. Which decimal is equivalent to 15%?
Answer:
0.15
Step-by-step explanation:
15% = 0.15
__________________________________
Solution,
15%
=15/100
=0.15
So, 0.15 decimal is equivalent to 15%
Hope this helps
Good luck on your assignment
_______________________________
FAST ANSWER PLEASE THANKS
Answer:
Option (1).
Step-by-step explanation:
Given functions are f(x) = [tex]\frac{1}{x}[/tex] and g(x) = x - 2
(fog)(x) = f[g(x)]
By substituting g(x) in place of x in the function f(x),
f[g(x)] = [tex]\frac{1}{(x-2)}[/tex]
Graph of the function f[g(x)] will have,
Vertical asymptotes : x = 2
Horizontal asymptotes : y = 0
And no oblique asymptotes.
Out of four options graph number (1) matches the given characteristics of the function.
Therefore, graph (1) will be the answer.
what is the scale factor of polygon qrstu to poligon defgh
Answer:
A
Step-by-step explanation:
Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.
[tex]\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}[/tex]
Therefore, the correct answer is choice A. Hope this helps!
Which expression has the least value?
A. 3(33)
B. 0 31-33)
C. 0-31-33)
D. 3(3-3)
Answer:
I think it is C but can't be sure because B isn't clear.
Step-by-step explanation:
An inspector checks 98 cell phones and finds 2 of them not working. If a company
has 850 of the phones, how many are likely to not be working?
Answer:
17
Step-by-step explanation:
Use ratio method
98:2
850:x
so, x = (850 x 2) divided by 98 = 17.3469388
Round it to nearest whole number = 17
help Write an equation for a line perpendicular to y=-4x+4 and passing through the point (-12,-8)
Answer: [tex]y=\frac{1}{4} x-5[/tex]
Step-by-step explanation:
Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:
[tex]y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5[/tex]
Notice how I plugged in the points given.
I need help ASAP!! A, B, C, D
Answer:
C. Both f(x) and its inverse function intersect at point (2, 2).
Step-by-step explanation:
First of all, let's begin defining f(x) = y.
Since the linear function f(x) intersects at
• 6 on the y-axis; and
• 3 on the x-axis;
we can deduce the following equation:
6x + 3y = 6(3)
6x + 3y = 18
3y = -6x + 18
y = -6x/3 + 18/3
y = -2x + 6
f(x) = -2x + 6
Then, we'd want to find the inverse of f(x), which is f`¹(x).
f(x) = -2x + 6
y = -2x + 6
Interchange the variable y to x and vice versa.
x = -2y + 6
2y = -x + 6
y = (-1/2)x + 3
f`¹(x) = (-1/2)x + 3
Since both f(x) and its inverse function are equal to y, set them both as equal.
f(x) = f`¹(x)
-2x + 6 = (-1/2)x + 3
-2x + (1/2)x = 3 - 6
(-3/2)x = -3
x = 2
Substitute x = 2 into y = -2x + 6.
y = -2(2) + 6
y = -4 + 6
y = 2
Now that we know x = 2 and y = 2, then the intersection point of (x, y) must be (2, 2).
I hope this helps! Sorry if my English didn't really help with giving a clearer explanation.
the one who answered it first will be marked brainliest and with correct sollutio and working
Answer:
2.375m
Step-by-step explanation:
Length of box = 8 m
Width of box = 3 m
Height of box = 2.4 m
It initially contains water of volume 37 m³. 20 m³ of water is added to it.
So, New volume = 37+20 = 57 cubic m
Volume of water = Length \times Width \times Height = 8 \times 3 \times Height
So, 8 x 3 x height = 57
Height = 57/ 8x3
Height =2.375 m
hence the depth of the water in the through after 20 m³ of water is added to it is 2.375m
What would be the answer and how would i get it?
Answer: c
Step-by-step explanation:
I very easy solve for x> then you take -3 -2 1,0 in order to get your answer
Answer:
x = {-3, -2, -1, 0, 1}
Step-by-step explanation:
We need to find the set that satisfies the inequality x > -4 ∩ x ≤ 1.
∩ means find the members that are common between two sets.
This means that we need to find the set of all integers that satisfy x > -4 and x ≤ 1
So, to find the low end, we find the lowest integer that satisfies x > -4, which is -3.
Now, to find the high end, we find highest integer that satisfies x ≤ 1, which is 1.
So x = {-3, -2, -1, 0, 1}
The maximum height of a vehicle that can pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?
Answer:
The truck can not safely pass under the bridge
Step-by-step explanation:
The maximum height in inches is 149in.
12 feet times 12 inches = 144 in
144 +5 = 149in
If the truck is 162 inches than it would not be safe for it to pass under the bridge.
I hope this helps you!
Please Help !
Find The Length Of AC .
Express Your Answer In Terms Of Pi .
Answer:
AC: 31m or 30.999m
Step-by-step explanation:
Diameter =2R = 24
Circumference = 2πR
= 24π
= 75.398223686155 m
AB = 180 diameter
180-30 = 150 degree
150/30 = 5
360/30 degree = 12
74.398223686155 /12 = 6.19985197385 x 5 = 30.9992598693 = 30.999m
These below are just checkers.
360/74.398223686155 = 4.83882520527 N/a
150/4.83882520527 =30.9992598692 N/a
Maths Help Asap
The question is given below
Answer only if sure and give explanation
Answer:
40 pages
Step-by-step explanation:
240/12 = 20 = pages read in 1 hour
20 x 2 = 40 = pages read in 2 hours
What’s 30x8+5 divided by 8% =
Answer:
302.5
Step-by-step explanation:
30 x 8
5/8
I hope this helps I'm like 90 percent sure this is right. There is no other answer I could think of so I hope Hope helpa
Please help its not working
Answer:
[tex]33\%[/tex]
Step-by-step explanation:
To work out the percentage of the circle shaded blue, we first must work out the area of the whole circle.
Area of the whole circle = [tex]\pi r^2[/tex]
[tex]r=4+3+3\\\pi * (4+3+3)^2=\pi*10^2=100\pi[/tex]
Now we need to work out the area of the blue 2d torus, by finding out the area of the blue circle, then subtracting the area of the innermost white circle.
Blue shaded area = [tex]\pi(r_{0}{^2}-r_{1}{^2})[/tex]
[tex]r_0=4+3\\r_1 = 4\\\pi ((4+3)^2-(4)^2)= \pi (7^2-4^2)=33 \pi[/tex]
Now we have the total areas of each, we can work out the fraction of blue to non blue by dividing the blue area by the total area, and then working out the percentage by multiplying by 100.
[tex]\frac{33\pi}{100\pi}*100=\frac{33\pi}{\pi}=33\%[/tex]
solve a²b³-(ab)² if a=-2 and b=3
Answer:
The answer is 72.
Step-by-step explanation:
You have to put in the values of a and b into the expressions :
[tex] {a}^{2} {b}^{3} - {(ab)}^{2} [/tex]
[tex]let \: a \: = - 2 \\ let \: b = 3[/tex]
[tex] {( - 2)}^{2} \times {(3)}^{3} - {( - 2 \times 3)}^{2} [/tex]
[tex] = 4 \times 27 - { (- 6)}^{2} [/tex]
[tex] = 108 - 36[/tex]
[tex] = 72[/tex]
Someone tell me answer!!!
Answer:
X=70
Step-by-step explanation:
180-120=60
60 + 50=110
180-110=70
Answer:70°
Step-by-step explanation:
missing angle- 180°-120°= 60
a total triangle= 180°
so x = 180-(50+60)
=180-110
x=70°
I need these so i don't fail.
1.Given the points (−2,5)and (6,−1)the midpoint is? 2.Given the points (9,−4)and (−5,2)the midpoint is ? 3.Given the points (−2,−5)and (−6,7)the midpoint is?
I need the midpoints.
Answer:
1) (2,2)
2) (2,-1)
3) (-4,1)
Step-by-step explanation:
When multiplying two negative integers, what is the sign of the product?
positive
negative
zero
one
Mark this and return
Save and Exit
y Next
Sul
Answer:
positive
Step-by-step explanation:
negative and negative = positive
positive and positive = positive
positive and negative = negative
negative and positive = negative
hope u got what u needed
Answer:
The correct answer is positive
Step-by-step explanation:
Negitive x Negitive = Positive
Positive x Positive = Positive
Negitive x Postive = Negitive
Positive x Negitive = Negitive
This should help you for next time you have a question like this.
I hope this helps.
Jaylen and Michael are making a pizza with a 16 inch diameter. They want to put three cheese blend on 5 of the 45° slices (including the crusts). Each handful of cheese covers 21 square inches, Calculate the area of the pizza slices that they want to put cheese on.
Answer:
125.66 in2
Step-by-step explanation:
The area of the pizza is given by the formula:
Area = pi * radius^2
The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches
Then, the total area is:
Area = pi * 8^2 = 64pi in2
They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.
If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:
360° -> 64pi in2
225° -> x in2
x = (225/360) * 64pi
x = 125.66 in2
SOLVE FOR 20 pls hurry
Answer:
4(-2) + 8(4) / 7 - (-2)²
-8 + 32 / 7 - 4
24 / 3
= 8
Step-by-step explanation:
Workers in an office of 90 staff where asked there favourite type of takeaway. The results are summarised in the table. Work out the size of each angle to draw a pie chart.
Step-by-step explanation:
just draw out according to a graph chart or pie chart
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
The surface area of the lower rectangle is 20cm x 4cm= 80 square cm
the surface area of the two triangles is 12 square centimetres
the surface area of one of the top rectangular faces is 20×5= 100 square centimetres
the surface area of the other is 20×3= 60 square centimetres
80+12+60+100=252 square centimetres is the surface area of the polyhydron
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer: A. Triangle
Step-by-step explanation: Its A because its in order of number of sides starting from the left side. It goes 6 sides, 5 sides, 4 sides, then next should be 3 sides.
Answer:
A
I think A is the correct answer and this can only be true if we are following the sequence because the first shape has 6 sides followed by 5 and 4 so probably 3 should be the next.
6x-2x+8y-6y (algebra answr very urgent
The solution to the expression 6x - 2x + 8y - 6y is 4x + 2y
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
6x - 2x + 8y - 6y
Collect the like terms in the expression
So, we have the following representation
6x - 2x + 8y - 6y = 6x - 2x + 8y - 6y
Evaluate the like terms in the expression
So, we have the following representation
6x - 2x + 8y - 6y = 4x + 2y
Hence, the simplified expression is 4x + 2y
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A store displays the sign shown. You want to buy a belt that costs &8 and a pair of jeans. You have $18. Write and solve an inequality to find the original prices you can afford
Answer: P ≤ $10
Step-by-step explanation:
You have $18
You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10
This means that we the range of prices P that you can afford is:
P ≤ $10
This means that the price of the jeans can be, at maximum, 10 dollars.
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
1. $14,310.40
2. $14,990.90
3. $15,290.70
4. $15,737.50
5. $16,935.80
Answer:
12590/80*100 = $15,737.50 4. Is your Answer
Step-by-step explanation:
12590 is 80% so simply divide by 80 and multiply by 100 to get the answer.
Find the slope of the line that passes through (4, 18) and (7, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -8/3
please see the attached picture for full solution
hope it helps
Answer:
[tex]slope = \frac{8}{ - 3} [/tex]
Step-by-step explanation:
[tex](4 \: \: \: ,\: \: 18) = > (x1 \: \: ,\: \: y1) \\ (7 \: , \: \: \: \: \: 10) = > (x2 \: \: \: ,\: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{18 - 10}{4 - 7} \\ = \frac{8}{ - 3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
