The total surface area of the block is 32.6 square inches.
Given that, Jake has a block shaped like the prism shown in a set of toys.
What the surface area of a prism?To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.
The total surface area of a prism = (2 × Base Area) + (Base perimeter × L).
Here, area = 2 ×1/2×2×2.3 +(2+2.5+2.5)×4
= 4.6+28
= 32.6 square inches
Therefore, the total surface area of the block is 32.6 square inches.
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the common diiference of an ap is 4 . the last term is 72 and the sum of all terms is 600. find the first term and the number of terms
Answer:
a = - 24 ; n =25
a = 28 ; n = 25
Step-by-step explanation:
n = l - a/d + 1
d = common difference = 4
Last term = l = 72
n = 72 - a/4 + 1
4n = 72 - a + 4
4n = 76 - a
a = 76 - 4n - - - (1)
Sum of terms :
Sn = n/2(a + l)
Sn = 600
600 = n/2(a + 72)
1200 = n(76-4n +72)
1200 = 148n - 4n
4n² - 148n + 1200
Solving the quadratic equation :
Roots of n are :
12 and 25
From (1)
n = 12
a = 76 - 4(12) = 28
n = 25
a = 76 - 4(25) = - 24
Hence,
a = - 24 ; n =25
a = 28 ; n = 25
Suppose that when your friend was born, your friend's parents deposited $9000 in an account paying 6.9% interest compounded . What will the account balance be after 17 years?
Answer:
the account balance after 17 years is $27,981.02
Step-by-step explanation:
Given that
The deposited amount i.e. $9,000
The Rate of interest is 6.9%
Time period = 17 years
We need to find out the account balance after 17 years
As we know that
Future value = Present value × (1 + rate of interest)^time period
= $9,000 × (1 + 6.9%)^17
= $27,981.02
Hence, the account balance after 17 years is $27,981.02
I NEED HELP PLS, WILL MARK BRAINLIEST
Answer:
this is the answer hope it helps
6 Write the phrase as an algebraic
expression
A number decreased by seven
Answer
x-7
Step-by-step explanation
Let x = unknown number
= x decreased by 7
= x-7
[tex]\huge\text{Hey there!}[/tex]
“ [tex]\large\text{A number decreased by seven}[/tex]”
[tex]\large\text{Whenever you see or hear the word \underline{decrease} in mathematics it usually}\\\large\text{means \underline{SUBTRACT} , so you are taking away a number. You are usually going}\\\large\text{\underline{DOWNWARD}}[/tex]
[tex]\large\text{The phrase \underline{a number} usually means that you have an \underline{unknown variable}}[/tex]
[tex]\large\text{Now that have that little GUIDE for you to follow by for this equation,}\\\large\text{lets ANSWER your given equation}[/tex]
[tex]\large\text{We can say your unknown variable is going to be labeled as \bf s}[/tex]
[tex]\large\text{REMEMBER we said that DECREASED means subtract or taking}\\\large\text{away!}[/tex]
[tex]\large\text{Seven will simply be 7 because you have that information already}\\\large\text{in your algebraic expression}[/tex]
[tex]\large\text{Based on the given information we did, we have reached your answer}[/tex]
[tex]\large\text{= \bf s - 7}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf s - 7}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A number increased by 7 is 4 less than twice the number. Write the equation and solve
Answer:
The number must be bigger than 7 for the equation be true
If you put x= 7 or x= 6...it will not be true
Step-by-step explanation:
x+7< 2x
7< x
x> 7
Example x=9
9+7 < 2x9
16< 18 TRUE
The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A number increased by 7 is 4 less than twice the number.
Let the number be 'x'. Then the inequality is given as,
x + 7 = 4 - 2x
Simplify the equation, then we have
x + 7 = 4 - 2x
x + 2x = 4 - 7
3x = - 3
x = -3/3
x = -1
The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.
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Which is the solution to the inequality --4x+6 3 2x?
Answer:
a. x>_1
Step-by-step explanation:
-4x+6<_2x
6<_2x+4x
6<_6x
1<_x
x>_1
On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas.
How many of these 250 customers made additional purchases?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
What is the scale factor from AABC to ADEF?
Answer:
C. 1/12
Step-by-step explanation:
The scale can be calculated by comparing side lenghts
AC is similar to FD and AB is similar to FE and BC is similar to ED
AB = 2 and FE = 24 so AB/FE is = 2/24 that's simplified is 1/12
 What is the volume of this cone?
Answer: C
Step-by-step explanation:
In a local 8-ball league, players are issued a handicap based on their ability. The handicap is used to adjust scores between players of different ability levels. The better a player is, the lower his or her handicap will be. What type of correlation exists between the skill of a player and his or her handicap?
Answer:
Negative correlation
Step-by-step explanation:
Correlation analysis is used to measure the type and degree of relationship which exists between two or more independent variables. Relationship between variables may be classed as Negative or positive depending on the nature or behavior of one variable relative to the other. Positive relationship exists when an increase on one variable leads to a corresponding increase in the other other variable.
However, in the scenario described above, handicap decreases with player quality that is the better a player is, the lower the handicap ; similarly, a player with higher handicap with have low quality, this is Hence a classic scenario of Negative correlation or relationship.
Ben is making waffles for his 3 friends. The recipe calls for cup of bleached 2/3 flour and 1/4 cup of wheat flour. What is the total amount of flour Ben needs to make the waffles?
Answer:
2 3/4 cups of flour
Step-by-step explanation:
If Ben makes waffles for three friend then the recipe needs to be multiplied by three. First I would find the common denominator of 2 / 3 and 1/ 4. Then, I would add them together to get the answer of 11/12. After that, multiply the amount of times you are making the recipe (3). Then simplify
The table shows the balances for 3 bank accounts.
Use this information to complete the statements below.
10. Write an equation in Slope-Intercept Form of the line that is parallel to the graph of
each equation and passes through the given point.
y = 4x + 8
(4,2)
Original slope=
Parallel slope=
Equation=
Answer:
Original slope = 4
Parallel Slope = 4
Equation = y = 4x - 16
Step-by-step explanation:
y = 4x +8
* the slope is the same since it is parallel
2=4(4) + b
2=16 + b
-14=b
y = 4x - 16
Tell me the answer please. Give me a short answer and a step-by-step explanation.
The equation of a circle is x2 + y2 - 12y + 20 = 0
What are the coordinates of the center and the length of the radius of the circle?
Answer:
Center: (0, 6); radius = 4
Step-by-step explanation:
x^2 + y^2 - 12y + 20 = 0
We must complete the square in y.
x^2 + y^2 - 12y = -20
x^2 + y^2 - 12y + 36 = -20 + 36
x^2 + (y - 6)^2 = 16
(x - 0)^2 + (y - 6)^2 = 4^2
Center: (0, 6); radius = 4
Choose all that are like terms with 5x.
10x
-
2.
-7x
3x^2
-6
6x^4
0.5x
Answer:
the correct answer is 6x^4
what is the value of 5 in 13,542 plz help
Answer:
500
Step-by-step explanation:
it is in the hundreths place
Answer:
Step-by-step explanation:
500 because it's in the hundredths place
Jessica had 8 sheets of paper. Water spilled on 2 sheets, so she threw them in the recycle bin. She drew 7 stars on each remaining sheet. How many stars did Jessica draw?
Answer:
42
Step-by-step explanation:
The remaining sheets of paper can be find in this way:
8-2 = 6
for each sheet of paper she drew 7 stars, so the total can be find in this way:
6 x 7 = 42 stars
multiple choice please help me ( links = report )
Answer:
Im gonna have to go with C :452.4 cm
Step-by-step explanation:
If this answer is correct please put me as brainliest, Thank you!
-Brainly User
Answer:
Hello Love! In this problem it gives you the diameter but when doing area we need the radius and remember radius is always half of the diameter so we are going to get 12 as are radius and square it so 12 × 12 = 144 now we just multiply by pi so 144 × 3.14 = 452.16 but sense we are rounding it it will be 452.4 so our answer is C
Cameron created a composite figure by stacking three cubes the cubes measure 2 inches on each side  what is the volume of the composite figure
Answer:
24 cubic inches.
Step-by-step explanation:
The volume of one cube = s * s * s or s^3
s = 2 inches
V = s^3
V = 2 * 2 * 2 or 2^3
V = 8 cubic inches.
The volume of 3 of them is 8*3 = 24 cubic inches.
HELP PLZZ !
Choose all that are correct.
15
The probability of a person being between 25-34 and owning stocks is
118
34
The probability of a person being between 25-34 or owning stocks is
118
Answer: A, C, and D
Step-by-step explanation:
A triangle has one angle that measures 100 degrees. If the other two
angles are isosceles, what is the measure of these two angles? (Have to submit In 15 minutes)
Answer:
40
Step-by-step explanation:
180 -100 = 80
80/2 = 40
I need help ASAP pls
Answer:
72
Step-by-step explanation:
trust meh
Write the equation of the line in slope-intercept form
Answer:
y=x
Step-by-step explanation:
m=1 b=0
(1/1) (Rise/run) (0)(y-intercept)
y=1x+0
y=x
how many £7.50 is there in £217.5?
Answer:
29
Step-by-step explanation:
217.5÷7.50=29
............ur welcome...............
In the terminal side of an angle in standard position lies on -4y=3x and x>0, find the exact values of the trigonometric functions of 0
Answer:
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
Tan ∅ = - 3/4
sin ∅ = -3/5
cos ∅ =4/5
Step-by-step explanation:
Given : -4y = 3x , x > 0
i.e. 3x + 4y = 0 , x >0
4y = -3x ∴ y = - 3/4 x
The values of trigonometric functions of ∅ are
Tan ∅ = opposite / adjacent
= - 3/4 ( given that y = slope which is = Tan ∅ )
now we will find the hypothenuse ( c )
c^2 = a^2 + b^2 = 9 + 16 = 25
therefore ; c = √25 = 5
hence the trig functions are :
sin ∅ = -3/5
cos ∅ =4/5
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
At a local animal shelter last week, 1/4 of the pet adoptions placed cats into homes and 2/3 of the adoptions placed dogs. Hamsters, rabbits, and reptiles were also adopted. Which choice is the MOST reasonable for the part of the adoptions for cats and dogs? A) 1/12 B) 5/12 C) 1/2 D) 11/12
Answer:
B)5/12 Hope It Help
Step-by-step explanation:
Brainliest please
Answer:d I think?
Step-by-step explanation:
There are 32 founding members of an organization. The function y 3x + 32 can be used to determine the number of members in the organization
after 3 months.
9(2b - 6)
Help I tried 6 times...
Use distributive property.
18b-54
The measure of an angle is 34 degrees. What is the measure of the supplementary angle.
Answer:
146
Step-by-step explanation:
Supllementary angles add up to 180 degrees.
180-34 = 146